title: The Spatial Structure of An Accretion Disk

abstract:
  Based on the microlensing variability of the two-image gravitational lens
HE1104-1805 observed between 0.4 and 8 microns, we have measured the size and
wavelength-dependent structure of the quasar accretion disk. Modeled as a power
law in temperature, T proportional to R^-beta, we measure a B-band (0.13
microns in the rest frame) half-light radius of R_{1/2,B} = 6.7 (+6.2 -3.2) x
10^15 cm (68% CL) and a logarithmic slope of beta=0.61 (+0.21 -0.17) for our
standard model with a logarithmic prior on the disk size. Both the scale and
the slope are consistent with simple thin disk models where beta=3/4 and
R_{1/2,B} = 5.9 x 10^15 cm for a Shakura-Sunyaev disk radiating at the
Eddington limit with 10% efficiency. The observed fluxes favor a slightly
shallower slope, beta=0.55 (+0.03 -0.02), and a significantly smaller size for
beta=3/4.


title:
An Algorithm to Construct A Basis for the Module of Logarithmic Vector
  Fields

abstract:
  We consider logarithmic vector fields parametrized by finite collections of
weighted hyperplanes. For a finite collection of weighted hyperplanes in a
two-dimensional vector space, it is known that the set of such vector fields is
a free module of rank two whose basis elements are homogeneous. We give an
algorithm to construct a homogeneous basis for the module.


title: Higgs Physics as a Window Beyond the MSSM (BMSSM)

abstract:
  We interpret the current experimental limit on the lightest Higgs boson mass
to suggest that if nature is supersymmetric, there are additional interactions
beyond those of the MSSM coming from new degrees of freedom around the TeV
scale. Within an effective field theory analysis, the leading order corrections
to the MSSM are described in terms of only two operators. This provides a
highly constrained description of Beyond MSSM (BMSSM) physics. The scalar Higgs
spectrum as well as the chargino and neutralino spectrum and couplings are
modified in a distinctive way. These operators can be generated by a variety of
microscopic mechanisms.


title:
Spectroscopic Analysis of H I Absorption Line Systems in 40 HIRES
  Quasars

abstract:
  We list and analyze H I absorption lines at redshifts 2 < z < 4 with column
density (12 < log(N_HI) < 19) in 40 high-resolutional (FWHM = 8.0 km/s) quasar
spectra obtained with the Keck+HIRES. We de-blend and fit all H I lines within
1,000 km/s of 86 strong H I lines whose column densities are log(N_HI/[cm^-2])
> 15. Unlike most prior studies, we use not only Lya but also all visible
higher Lyman series lines to improve the fitting accuracy. This reveals
components near to higher column density systems that can not be seen in Lya.
We list the Voigt profile fits to the 1339 H I components that we found. We
examined physical properties of H I lines after separating them into several
sub-samples according to their velocity separation from the quasars, their
redshift, column density and the S/N ratio of the spectrum. We found two
interesting trends for lines with 12 < log(N_HI) < 15 which are within 200-1000
km/s of systems with log(N_HI) > 15. First, their column density distribution
becomes steeper, meaning relatively fewer high column density lines, at z <
2.9. Second, their column density distribution also becomes steeper and their
line width becomes broader by about 2-3 km/s when they are within 5,000 km/s of
their quasar.


title:
Meta-Stable Dynamical Supersymmetry Breaking Near Points of Enhanced
  Symmetry

abstract:
  We show that metastable supersymmetry breaking is generic near certain
enhanced symmetry points of gauge theory moduli spaces. Our model consists of
two sectors coupled by a singlet and combines dynamical supersymmetry breaking
with an O'Raifeartaigh mechanism in terms of confined variables. All relevant
mass parameters, including the supersymmetry breaking scale, are generated
dynamically. The metastable vacua appear as a result of a balance between
non-perturbative and perturbative quantum effects along a pseudo-runaway
direction.


title: Reliable Final Computational Results from Faulty Quantum Computation

abstract:
  In this paper we extend both standard fault tolerance theory and Kitaev's
model for quantum computation, combining them so as to yield quantitative
results that reveal the interplay between the two. Our analysis establishes a
methodology that allows us to quantitatively determine design parameters for a
quantum computer, the values of which ensure that an overall computation of
interest yields a correct *final result* with some prescribed probability of
success, as opposed to merely ensuring that the desired *final quantum state*
is obtained. As a specific example of the practical application of our
approach, we explicitly calculate the number of levels of error correction
concatenation needed to achieve a correct final result for the overall
computation with some prescribed success probability. Since our methodology
allows one to determine parameters required in order to achieve the correct
final result for the overall quantum computation, as opposed to merely ensuring
that the desired final quantum state is produced, our method enables the
determination of complete quantum computational resource requirements
associated to the actual solution of practical problems.


title: Invariant weighted algebras $L_p^w(G)$

abstract:
  The paper deals with weighted spaces $L_p^w(G)$ on a locally compact group G.
If w is a positive measurable function on G then we define the space
$L_p^w(G)$, $p\ge1$, as $L_p^w(G)=\{f:fw\in L_p(G)\}$. We consider weights such
that these weighted spaces are algebras with respect to usual convolution. It
is shown that for p>1 such weights exists on any sigma-compact group. We prove
also a criterion known earlier in special cases: $L_1^w(G)$ is an algebra if
and only if w is submultiplicative. It is proved that invariant algebras
$L_p^w(G)$, $p>1$, have approximate units of standard form, but this may not be
true for a non-invariant algebra.


title: Equation-of-state model for shock compression of hot dense matter

abstract:
  A quantum equation-of-state model is presented and applied to the calculation
of high-pressure shock Hugoniot curves beyond the asymptotic fourfold density,
close to the maximum compression where quantum effects play a role. An
analytical estimate for the maximum attainable compression is proposed. It
gives a good agreement with the equation-of-state model.


title:
Calculating the probability of detecting radio signals from alien
  civilizations

abstract:
  Although it might not be self-evident, it is in fact entirely possible to
calculate the probability of detecting alien radio signals by understanding
what types of extraterrestrial radio emissions can be expected and what
properties these emissions can have. Using the Drake equation as the obvious
starting point, and logically identifying and enumerating constraints of
interstellar radio communications can yield the probability of detecting a
genuine alien radio signal.


title: Electron operator at the edge of the 1/3 fractional quantum Hall liquid

abstract:
  This study builds upon the work of Palacios and MacDonald (Phys. Rev. Lett.
{\bf 76}, 118 (1996)), wherein they identify the bosonic excitations of Wen's
approach for the edge of the 1/3 fractional quantum Hall state with certain
operators introduced by Stone. Using a quantum Monte Carlo method, we extend to
larger systems containing up to 40 electrons and obtain more accurate
thermodynamic limits for various matrix elements for a short range interaction.
The results are in agreement with those of Palacios and MacDonald for small
systems, but offer further insight into the detailed approach to the
thermodynamic limit. For the short range interaction, the results are
consistent with the chiral Luttinger liquid predictions.We also study
excitations using the Coulomb ground state for up to nine electrons to
ascertain the effect of interactions on the results; in this case our tests of
the chiral Luttinger liquid approach are inconclusive.


title: Shell-structure effects on high-pressure Rankine-Hugoniot shock adiabats

abstract:
  Rankine-Hugoniot shock adiabats are calculated in the pressure range 1
Mbar-10 Gbar with two atomic-structure models: the atom in a spherical cell and
the atom in a jellium of charges. These quantum self-consistent-field models
include shell effects, which have a strong impact on pressure and shock
velocity along the shock adiabat. Comparisons with experimental data are
presented and quantum effects are interpreted in terms of electronic specific
heat. A simple analytical estimate for the maximum compression is proposed,
depending on initial density, atomic weight and atomic number.


title: Testing Gluino Spin with Three-Body Decays

abstract:
  We examine the possibility of distinguishing a supersymmetric gluino from a
Kaluza-Klein gluon of universal extra dimensions (UED) at the Large Hadron
Collider (LHC). We focus on the case when all kinematically allowed tree-level
decays of this particle are 3-body decays into two jets and a massive daughter
(typically weak gaugino or Kaluza-Klein weak gauge boson). We show that the
shapes of the dijet invariant mass distributions differ significantly in the
two models, as long as the mass of the decaying particle mA is substantially
larger than the mass of the massive daughter mB. We present a simple analysis
estimating the number of events needed to distinguish between the two models
under idealized conditions. For example, for mA/mB=10, we find the required
number of events to be of order several thousand, which should be available at
the LHC within a few years. This conclusion is confirmed by a parton level
Monte Carlo study which includes the effects of experimental cuts and the
combinatoric background.


title:
Investigations in Two-Dimensional Quantum Field Theory by the Bootstrap
  and TCSA Methods

abstract:
  This thesis contains three main parts, which are largely independent. In the
first part we deal with the boundary bootstrap in supersymmetric factorized
scattering theory. We give a description of supersymmetry in the case when the
space is a half-line and present rules for the determination of the
representations in which higher level boundary bound states transform, and for
the determination of the supersymmetric one-particle reflection matrix factors
for the higher level boundary bound states. These rules apply under the
condition that the bulk particles transform in the kink or in the boson-fermion
representation. Examples for the application of these rules to specific models
are also given. In the second part we investigate the problem whether the TCSA
spectrum can be approximated by the spectrum of the original Hamiltonian
operator in which the coefficients of the terms are suitably changed. The
investigation is done in the case of the critical Ising model on a strip with
an external magnetic field on one of the boundaries. Another truncation method
that preserves the solvability of the model is also considered. The results of
perturbative and numerical calculations show that the above approximation is
possible and that the qualitative behaviour of the truncated spectrum as a
function of the coupling constant depends on the truncation method. In the
third part we investigate the phase structure of the two- and three-frequency
sine-Gordon models using the TCSA. In the case of the three-frequency model the
tricritical point, several points of the critical line and a few points of the
line of first order transition are found.


title: Abstract polymer models with general pair interactions

abstract:
  A convergence criterion of cluster expansion is presented in the case of an
abstract polymer system with general pair interactions (i.e. not necessarily
hard core or repulsive). As a concrete example, the low temperature disordered
phase of the BEG model with infinite range interactions, decaying polynomially
as $1/r^{d+\lambda}$ with $\lambda>0$, is studied.


title:
A Morse type uniqueness theorem for non-parametric minimizing
  hypersurfaces

abstract:
  A classical result about minimal geodesics on R^2 with Z^2 periodic metric
that goes back to H.M. Morse asserts that a minimal geodesic that is asymptotic
to a periodic minimal geodesic cannot intersect any periodic minimal geodesic
of the same period. This paper treats a similar theorem for nonparametric
minimizing hypersurfaces without selfintersections -- as were studied by J.
Moser, V. Bangert, P.H. Rabinowitz, E. Stredulinsky and others.


title: AC susceptibility and $^{51}$V NMR study of MnV$_2$O$_4$

abstract:
  We report $^{51}$V zero-field NMR of manganese vanadate spinel of
MnV$_2$O$_4$, together with both ac and dc magnetization measurements. The
field and temperature dependence of ac susceptibilities show a
reentrant-spin-glass-like behavior below the ferrimagnetic(FEM) ordering
temperature. The zero-field NMR spectrum consists of multiple lines ranging
from 240 MHz to 320 MHz. Its temperature dependence reveals that the ground
state is given by the simultaneous formation of a long-range FEM order and a
short-range order component. We attribute the spin-glass-like anomalies to
freezing and fluctuations of the short-range ordered state caused by the
competition between spin and orbital ordering of the V site.


title: Probing the Dust and Gas in the Transitional Disk of CS Cha with Spitzer

abstract:
  Here we present the Spitzer IRS spectrum of CS Cha, a member of the ~2 Myr
old Chamaeleon star-forming region, which reveals an optically thick
circumstellar disk truncated at ~43 AU, the largest hole modeled in a
transitional disk to date. Within this inner hole, ~5x10^-5 lunar masses of
dust are located in a small optically thin inner region which extends from 0.1
to 1 AU. In addition, the disk of CS Cha has bigger grain sizes and more
settling than the previously modeled transitional disks DM Tau, GM Aur, and
CoKu Tau/4, suggesting that CS Cha is in a more advanced state of dust
evolution. The Spitzer IRS spectrum also shows [Ne II] 12.81 micron
fine-structure emission with a luminosity of 1.3x10^29 ergs s^-1, indicating
that optically thin gas is present in this ~43 AU hole, in agreement with
H_alpha measurements and a UV excess which indicate that CS Cha is still
accreting 1.2x10^-8 M_sun yr^-1. We do not find a correlation of the [Ne II]
flux with L_X, however, there is a possible correlation with mass accretion
rate, which if confirmed would suggest that EUV fluxes due to accretion are the
main agent for formation of the [Ne II] line.


title:
Minimal Seesaw as an Ultraviolet Insensitive Cure for the Problems of
  Anomaly Mediation

abstract:
  We show that an intermediate scale supersymmetric left-right seesaw scenario
with automatic R-parity conservation can cure the problem of tachyonic slepton
masses that arises when supersymmetry is broken by anomaly mediation, while
preserving ultraviolet insensitivity. The reason for this is the existence of
light B - L = 2 higgses with yukawa couplings to the charged leptons. We find
these theories to have distinct predictions compared to the usual mSUGRA and
gauge mediated models as well as the minimal AMSB models. Such predictions
include a condensed gaugino mass spectrum and possibly a correspondingly
condensed sfermion spectrum.


title: Towards Fault Tolerant Adiabatic Quantum Computation

abstract:
  I show how to protect adiabatic quantum computation (AQC) against decoherence
and certain control errors, using a hybrid methodology involving dynamical
decoupling, subsystem and stabilizer codes, and energy gaps. Corresponding
error bounds are derived. As an example I show how to perform
decoherence-protected AQC against local noise using at most two-body
interactions.


title: Lagrangian Mechanics and Variational Integrators on Two-Spheres

abstract:
  Euler-Lagrange equations and variational integrators are developed for
Lagrangian mechanical systems evolving on a product of two-spheres. The
geometric structure of a product of two-spheres is carefully considered in
order to obtain global equations of motion. Both continuous equations of motion
and variational integrators completely avoid the singularities and complexities
introduced by local parameterizations or explicit constraints. We derive global
expressions for the Euler-Lagrange equations on two-spheres which are more
compact than existing equations written in terms of angles. Since the
variational integrators are derived from Hamilton's principle, they preserve
the geometric features of the dynamics such as symplecticity, momentum maps, or
total energy, as well as the structure of the configuration manifold.
Computational properties of the variational integrators are illustrated for
several mechanical systems.


title: pi N to Multi-pi N Scattering in the 1/N_c Expansion

abstract:
  We extend the 1/N_c meson-baryon scattering formalism to pi N to multi-pi N
case. We first show that the leading-order large N_c processes proceed through
resonant intermediate states (e.g., rho N or pi Delta). We find that the pole
structure of baryon resonances can be uniquely identified by their
(non)appearance in eta N or mixed partial-wave pi Delta final states.


title:
An Extensive Collection of Stellar Wind X-ray Source Region Emission
  Line Parameters,Temperatures, Velocities, and Their Radial Distributions as
  Obtained from Chandra Observations of 17 OB Stars

abstract:
  Chandra high energy resolution observations have now been obtained from
numerous non-peculiar O and early B stars. The observed X-ray emission line
properties differ from pre-launch predictions, and the interpretations are
still problematic. We present a straightforward analysis of a broad collection
of OB stellar line profile data to search for morphological trends. X-ray line
emission parameters and the spatial distributions of derived quantities are
examined with respect to luminosity class. The X-ray source locations and their
corresponding temperatures are extracted by using the He-like f/i line ratios
and the H-like to He-like line ratios respectively. Our luminosity class study
reveals line widths increasing with luminosity. Although the majority of the OB
emission lines are found to be symmetric, with little central line
displacement, there is evidence for small, but finite, blue-ward line-shifts
that also increase with luminosity. The spatial X-ray temperature distributions
indicate that the highest temperatures occur near the star and steadily
decrease outward. This trend is most pronounced in the OB supergiants. For the
lower density wind stars, both high and low X-ray source temperatures exist
near the star. However, we find no evidence of any high temperature X-ray
emission in the outer wind regions for any OB star. Since the temperature
distributions are counter to basic shock model predictions, we call this the
"near-star high-ion problem" for OB stars. By invoking the traditional OB
stellar mass loss rates, we find a good correlation between the fir-inferred
radii and their associated X-ray continuum optical depth unity radii. We
conclude by presenting some possible explanations to the X-ray source problems
that have been revealed by this study.


title: On quantization of massive non-Abelian gauge fields

abstract:
  A simpler method of quantization is given for massive gauge theories. This
method gives the same results as those of the conventional massive gauge theory
with ghost and Higgs fields under the Higgs mass. Besides, we point out
physical importance of helicity zero states in non-Abelian gauge theories even
in massless case. Furthermore, forms of mass terms that were impossible before,
e.g. symmetric mass, are possible now. Applying our method to SU(2)xU(1)
symmetry has no particular difficulty, and gives a variant of the standard
model without the Higgs boson.


title:
Introducing a Probabilistic Structure on Sequential Dynamical Systems,
  Simulation and Reduction of Probabilistic Sequential Networks

abstract:
  A probabilistic structure on sequential dynamical systems is introduced here,
the new model will be called Probabilistic Sequential Network, PSN. The
morphisms of Probabilistic Sequential Networks are defined using two algebraic
conditions. It is proved here that two homomorphic Probabilistic Sequential
Networks have the same equilibrium or steady state probabilities if the
morphism is either an epimorphism or a monomorphism. Additionally, the proof of
the set of PSN with its morphisms form the category PSN, having the category of
sequential dynamical systems SDS, as a full subcategory is given. Several
examples of morphisms, subsystems and simulations are given.


title: The Boltzmann-Hamel Equations for Optimal Control

abstract:
  We extend the Boltzmann-Hamel equations to the optimal control setting,
producing a set of equations for both kinematic and dynamic nonholonomic
optimal control problems. In particular, we will show the dynamic optimal
control problem can be written as a minimal set of 4n-2m first order
differential equations of motion.


title:
The spectral energy distribution of quiescent black hole X-ray binaries:
  new constraints from Spitzer

abstract:
  (Abridged) Among the various issues that remain open in the field of
accretion onto black hole X-ray binaries (BHBs) is the way the gas accretes at
very low Eddington ratios, in the so-called quiescent regime. While there is
general agreement that the X-rays are produced by a population of high-energy
electrons near to the BH, the controversy comes about in modeling the
contribution from inflowing vs. outflowing particles, and their relative energy
budget. Recent Spitzer observations of three quiescent BHBs have shown evidence
for excess emission with respect to the tail of the companion star between 8-24
micron. We suggest that synchrotron emission from a partially self-absorbed
outflow might be responsible for the observed mid-IR excess, in place of, or in
addition to, thermal emission from circumbinary material. If so, then the jet
synchrotron luminosity exceeds the measured 2-10 keV luminosity by a factor of
a few in these systems. In turn, the mechanical power stored in the jet exceeds
the bolometric X-ray luminosity at least by 4 orders of magnitude. We then
compile the broadband spectral energy distribution (SED) of A0620-00, the
lowest Eddington-ratio stellar mass BH with a known radio counterpart, by means
of simultaneous radio, optical and X-ray observations, and the archival Spitzer
data. We are able to fit the SED of A0620-00 with a `maximally jet-dominated'
model in which the radio through the soft X-rays are dominated by synchrotron
emission, while the hard X-rays are dominated by inverse Compton at the jet
base. The fitted parameters land in a range of values that is reminiscent of
the Galactic Center super-massive BH Sgr A*. Most notably, the inferred ratio
of the jet acceleration rate to local cooling rates is two orders of magnitude
weaker with respect to higher luminosity, hard state sources.


title:
Zooming into the coexisting regime of ferromagnetism and
  superconductivity in ErRh4B4 single crystals

abstract:
  High resolution measurements of the dynamic magnetic susceptibility are
reported for ferromagnetic re-entrant superconductor, ErRh$_{4}$B$_{4}$.
Detailed investigation of the coexisting regime reveals unusual
temperature-asymmetric and magnetically anisotropic behavior. The
superconducting phase appears via a series of discontinuous steps upon warming
from the ferromagnetic normal phase, whereas the ferromagnetic phase develops
via a gradual transition. A model based on local field inhomogeneity is
proposed to explain the observations.


title: Mass Determination in SUSY-like Events with Missing Energy

abstract:
  We describe a kinematic method which is capable of determining the overall
mass scale in SUSY-like events at a hadron collider with two missing (dark
matter) particles. We focus on the kinematic topology in which a pair of
identical particles is produced with each decaying to two leptons and an
invisible particle (schematically, $pp\to YY+jets$ followed by each $Y$
decaying via $Y\to \ell X\to \ell\ell'N$ where $N$ is invisible). This topology
arises in many SUSY processes such as squark and gluino production and decay,
not to mention $t\anti t$ di-lepton decays. In the example where the final
state leptons are all muons, our errors on the masses of the particles $Y$, $X$
and $N$ in the decay chain range from 4 GeV for 2000 events after cuts to 13
GeV for 400 events after cuts. Errors for mass differences are much smaller.
Our ability to determine masses comes from considering all the kinematic
information in the event, including the missing momentum, in conjunction with
the quadratic constraints that arise from the $Y$, $X$ and $N$ mass-shell
conditions. Realistic missing momentum and lepton momenta uncertainties are
included in the analysis.


title: Some Observations for Mean-Field Spin Glass Models

abstract:
  We obtain bounds to show that the pressure of a two-body, mean-field spin
glass is a Lipschitz function of the underlying distribution of the random
coupling constants, with respect to a particular semi-norm. This allows us to
re-derive a result of Carmona and Hu, on the universality of the SK model, by a
different proof, and to generalize this result to the Viana-Bray model. We also
prove another bound, suitable when the coupling constants are not independent,
which is what is necessary if one wants to consider ``canonical'' instead of
``grand canonical'' versions of the SK and Viana-Bray models. Finally, we
review Viana-Bray type models, using the language of L\'evy processes, which is
natural in this context.


title:
Explicit Heegner Points: Kolyvagin's Conjecture and Non-trivial Elements
  in the Shafarevich-Tate Group

abstract:
  Kolyvagin used Heegner points to associate a system of cohomology classes to
an elliptic curve over $\Q$ and conjectured that the system contains a
non-trivial class. His conjecture has profound implications on the structure of
Selmer groups. We provide new computational and theoretical evidence for
Kolyvagin's conjecture. More precisely, we explicitly compute Heegner points
over ring class fields and use these points to verify the conjecture for
specific elliptic curves of rank two. We explain how Kolyvagin's conjecture
implies that if the analytic rank of an elliptic curve is at least two then the
$\Z_p$-corank of the corresponding Selmer group is at least two as well. We
also use explicitly computed Heegner points to produce non-trivial classes in
the Shafarevich-Tate group.


title: The Existence of Type II Singularities for the Ricci Flow on $S^{n+1}$

abstract:
  In this paper we prove the existence of Type II singularities for the Ricci
flow on $S^{n+1}$ for all $n\geq 2$.


title: Manifolds with Pointwise Ricci Pinched Curvature

abstract:
  In this paper, we proved a compactness result about Riemannian manifolds with
an arbitrary pointwisely pinched Ricci curvature tensor.


title: A Simple Proof for the Generalized Frankel Conjecture

abstract:
  In this short paper, we will give a simple and transcendental proof for Mok's
theorem of the generalized Frankel conjecture. This work is based on the
maximum principle in \cite{BS2} proposed by Brendle and Schoen.


title: Analysis of Bell inequality violation in superconducting qubits

abstract:
  We analyze conditions for violation of the Bell inequality in the
Clauser-Horne-Shimony-Holt form, focusing on the Josephson phase qubits. We
start the analysis with maximum violation in the ideal case, and then take into
account the effects of the local measurement errors and decoherence. A special
attention is paid to configurations of the qubit measurement directions in the
pseudospin space lying within either horizontal or vertical planes; these
configurations are optimal in certain cases. Besides local measurement errors
and decoherence, we also discuss the effect of measurement crosstalk, which
affects both the classical inequality and the quantum result. In particular, we
propose a version of the Bell inequality which is insensitive to the crosstalk.


title: Optical Rankine Vortex

abstract:
  Rankine vortex charateristics of a partially coherent optical vortex are
explored using classical and physical optics. Unlike a perfectly coherent
vortex mode, the circulation is not quantized. Excess circulation is predicted
owing to the wave nature of the composite vortex fields. Based on these
findings we propose a vortex stellar interferometer.


title: Cluster-tilted algebras and slices

abstract:
  We give a criterion allowing to verify whether or not two tilted algebras
have the same relation-extension (thus correspond to the same cluster-tilted
algebra). This criterion is in terms of a combinatorial configuration in the
Auslander-Reiten quiver of the cluster-tilted algebra, which we call local
slice.


title: AKARI Far-Infrared Source Counts in the Lockman Hole

abstract:
  We report initial results of far-infrared observations of the Lockman hole
with Far-Infrared Surveyor (FIS) onboard the AKARI infrared satellite. On the
basis of slow scan observations of a 0.6 deg x 1.2 deg contiguous area, we
obtained source number counts at 65, 90 and 140 um down to 77, 26 and 194 mJy
(3 sigma), respectively. The counts at 65 and 140 um show good agreement with
the Spitzer results. However, our 90 um counts are clearly lower than the
predicted counts by recent evolutionary models that fit the Spitzer counts in
all the MIPS bands. Our 90 um counts above 26 mJy account for about 7% of the
cosmic background. These results provide strong constraints on the evolutionary
scenario and suggest that the current models may require modifications.


title:
Explanation for Anomalous Shock Temperatures Measured by Neutron
  Resonance Spectroscopy

abstract:
  Neutron resonance spectrometry (NRS) has been used to measure the temperature
inside Mo samples during shock loading. The temperatures obtained were
significantly higher than predicted assuming ideal hydrodynamic loading. The
effect of plastic flow and non-ideal projectile behavior were assessed. Plastic
flow was calculated self-consistently with the shock jump conditions: this is
necessary for a rigorous estimate of the locus of shock states accessible.
Plastic flow was estimated to contribute a temperature rise of 53K compared
with hydrodynamic flow. Simulations were performed of the operation of the
explosively-driven projectile system used to induce the shock in the Mo sample.
The simulations predicted that the projectile was significantly curved on
impact, and still accelerating. The resulting spatial variations in load,
including radial components of velocity, were predicted to increase the
apparent temperature that would be deduced from the width of the neutron
resonance by 160K. These corrections are sufficient to reconcile the apparent
temperatures deduced using NRS with the accepted properties of Mo, in
particular its equation of state.


title: Classical bifurcations and entanglement in smooth Hamiltonian system

abstract:
  We study entanglement in two coupled quartic oscillators. It is shown that
the entanglement, as measured by the von Neumann entropy, increases with the
classical chaos parameter for generic chaotic eigenstates. We consider certain
isolated periodic orbits whose bifurcation sequence affects a class of quantum
eigenstates, called the channel localized states. For these states, the
entanglement is a local minima in the vicinity of a pitchfork bifurcation but
is a local maxima near a anti-pitchfork bifurcation. We place these results in
the context of the close connections that may exist between entanglement
measures and conventional measures of localization that have been much studied
in quantum chaos and elsewhere. We also point to an interesting near-degeneracy
that arises in the spectrum of reduced density matrices of certain states as an
interplay of localization and symmetry.


title: Self force of a static electric charge near a Schwarzschild Star

abstract:
  When a charge is held static near a constant density spherical star, it
experiences a self-force which is significantly different from the force it
would experience when placed near a black hole of the same mass. In this paper,
an expression for the self-force (as measured by a locally inertial observer)
is given %explicitly calculated for an insulating Schwarzschild star, and the
result is explicitly computed for the extreme density case, which has a
singularity at its center. The force is found to be repulsive. A similar
calculation of the self-force is also performed for a conducting star. This
calculation is valid for any static, spherically conducting star, since the
result is independent of the interior metric. When the charge is placed very
close to the conducting star, the force is found to be attractive but when the
charge is placed beyond a certain distance (2.95M for a conducting star of
radius 2.25M), the force is found to be repulsive. When the charge is placed
very far from the star (be it conducting or insulating), the charge experiences
the same repulsive force it would experience when placed in the spacetime of a
black hole with the same mass as the star.


title: Modified A-hypergeometric Systems

abstract:
  We will introduce a modified system of A-hypergeometric system (GKZ system)
by applying a change of variables for Groebner deformations and study its
Groebner basis and the indicial polynomials along the "exceptional
hypersurface".


title: Application of Geometric Phase in Quantum Computations

abstract:
  Geometric phase that manifests itself in number of optic and nuclear
experiments is shown to be a useful tool for realization of quantum
computations in so called holonomic quantum computer model (HQCM). This model
is considered as an externally driven quantum system with adiabatic evolution
law and finite number of the energy levels. The corresponding evolution
operators represent quantum gates of HQCM. The explicit expression for the
gates is derived both for one-qubit and for multi-qubit quantum gates as
Abelian and non-Abelian geometric phases provided the energy levels to be
time-independent or in other words for rotational adiabatic evolution of the
system. Application of non-adiabatic geometric-like phases in quantum
computations is also discussed for a Caldeira-Legett-type model (one-qubit
gates) and for the spin 3/2 quadrupole NMR model (two-qubit gates). Generic
quantum gates for these two models are derived. The possibility of construction
of the universal quantum gates in both cases is shown.


title:
The linear and non linear Rayleigh-Taylor instability for the quasi
  isobaric profile

abstract:
  We study the stability of the system of the Euler equation in the
neighborhood of a stationary profile associated with the quasi isobaric model
in a gravity field. This stationary profile is not bounded below, hence the
operator is not coercive. We use this linear result to deduce a nonlinear
result


title: Smooth K-Theory

abstract:
  We construct an analytic multiplicative model of smooth K-theory. We further
introduce the notion of a smooth K-orientation of a proper submersion and
define the associated push-forward which satisfies functoriality, compatibility
with pull-back diagrams, and projection and bordism formulas. We construct a
multiplicative lift of the Chern character from smooth K-theory to smooth
rational cohomology and verify that the cohomological version of the
Atiyah-Singer index theorem for families lifts to smooth cohomology.


title:
Asymptotic Expansion of the One-Loop Approximation of the Chern-Simons
  Integral in an Abstract Wiener Space Setting

abstract:
  In an abstract Wiener space setting, we constract a rigorous mathematical
model of the one-loop approximation of the perturbative Chern-Simons integral,
and derive its explicit asymptotic expansion for stochastic Wilson lines.


title:
The Series Product and Its Application to Quantum Feedforward and
  Feedback Networks

abstract:
  The purpose of this paper is to present simple and general algebraic methods
for describing series connections in quantum networks. These methods build on
and generalize existing methods for series (or cascade) connections by allowing
for more general interfaces, and by introducing an efficient algebraic tool,
the series product. We also introduce another product, which we call the
concatenation product, that is useful for assembling and representing systems
without necessarily having connections. We show how the concatenation and
series products can be used to describe feedforward and feedback networks. A
selection of examples from the quantum control literature are analyzed to
illustrate the utility of our network modeling methodology.


title: Molecular coupling of light with plasmonic waveguides

abstract:
  We use molecules to couple light into and out of microscale plasmonic
waveguides. Energy transfer, mediated by surface plasmons, from donor molecules
to acceptor molecules over ten micrometer distances is demonstrated. Also
surface plasmon coupled emission from the donor molecules is observed at
similar distances away from the excitation spot. The lithographic fabrication
method we use for positioning the dye molecules allows scaling to nanometer
dimensions. The use of molecules as couplers between far-field and near-field
light offers the advantages that no special excitation geometry is needed, any
light source can be used to excite plasmons and the excitation can be localized
below the diffraction limit. Moreover, the use of molecules has the potential
for integration with molecular electronics and for the use of molecular
self-assembly in fabrication. Our results constitute a proof-of-principle
demonstration of a plasmonic waveguide where signal in- and outcoupling is done
by molecules.


title: Non-atomic Games for Multi-User Systems

abstract:
  In this contribution, the performance of a multi-user system is analyzed in
the context of frequency selective fading channels. Using game theoretic tools,
a useful framework is provided in order to determine the optimal power
allocation when users know only their own channel (while perfect channel state
information is assumed at the base station). We consider the realistic case of
frequency selective channels for uplink CDMA. This scenario illustrates the
case of decentralized schemes, where limited information on the network is
available at the terminal. Various receivers are considered, namely the Matched
filter, the MMSE filter and the optimum filter. The goal of this paper is to
derive simple expressions for the non-cooperative Nash equilibrium as the
number of mobiles becomes large and the spreading length increases. To that end
two asymptotic methodologies are combined. The first is asymptotic random
matrix theory which allows us to obtain explicit expressions of the impact of
all other mobiles on any given tagged mobile. The second is the theory of
non-atomic games which computes good approximations of the Nash equilibrium as
the number of mobiles grows.


title:
Q^2-evolution of nucleon-to-resonance transition form factors in a
  QCD-inspired vector-meson-dominance model

abstract:
  We adopt the vector-meson-dominance approach to investigate Q^2-evolution of
N-R transition form factors (N denotes nucleon and R an excited resonance) in
the first and second resonance regions. The developed model is based upon
conventional NR\gamma-interaction Lagrangians, introducing three form factors
for spin-3/2 resonances and two form factors for spin-1/2 nucleon excitations.
Lagrangian form factors are expressed as dispersionlike expansions with four or
five poles corresponding to the lowest excitations of the mesons \rho(770) and
\omega(782). Correct high-Q^2 form factor behavior predicted by perturbative
QCD is due to phenomenological logarithmic renormalization of electromagnetic
coupling constants and linear superconvergence relations between the parameters
of the meson spectrum. The model is found to be in good agreement with all the
experimental data on Q^2-dependence of the transitions N-\Delta(1232),
N-N(1440), N-N(1520), N-N(1535). We present fit results and model predictions
for high-energy experiments proposed by JLab. Besides, we make special emphasis
on the transition to perturbative domain of N-\Delta(1232) form factors.


title:
Thermodynamics of theories with sixteen supercharges in non-trivial
  vacua

abstract:
  We study the thermodynamics of maximally supersymmetric U(N) Yang-Mills
theory on $\mathds{R}\times S^2$ at large $N$. The model arises as a consistent
truncation of ${\cal N}=4$ super Yang-Mills on $\mathds{R}\times S^3$ and as
the continuum limit of the plane-wave matrix model expanded around the $N$
spherical membrane vacuum. The theory has an infinite number of classical BPS
vacua, labeled by a set of monopole numbers, described by dual supergravity
solutions. We first derive the Lagrangian and its supersymmetry transformations
as a deformation of the usual dimensional reduction of ${\cal N}=1$ gauge
theory in ten dimensions. Then we compute the partition function in the zero 't
Hooft coupling limit in different monopole backgrounds and with chemical
potentials for the $R$-charges. In the trivial vacuum we observe a first-order
Hagedorn transition separating a phase in which the Polyakov loop has vanishing
expectation value from a regime in which this order parameter is non-zero, in
analogy with the four-dimensional case. The picture changes in the monopole
vacua due to the structure of the fermionic effective action. Depending on the
regularization procedure used in the path integral, we obtain two completely
different behaviors, triggered by the absence or the appearance of a
Chern-Simons term. In the first case we still observe a first-order phase
transition, with Hagedorn temperature depending on the monopole charges. In the
latter the large $N$ behavior is obtained by solving a unitary multi-matrix
model with a peculiar logarithmic potential, the system does not present a
phase transition and it always appears in a ``deconfined'' phase.


title: Particle Motion Around Tachyon Monopole

abstract:
  Recently, Li and Liu have studied global monoole of tachyon in a four
dimensional static space-time. We analyze the motion of massless and massive
particles around tachyon monopole. Interestingly, for the bending of light rays
due to tachyon monopole instead of getting angle of deficit we find angle of
surplus. Also we find that the tachyon monopole exerts an attractive
gravitational force towards matter.


title: Mach Cones at central LHC Collisions via MACE

abstract:
  The shape of Mach Cones in central lead on lead collisions at $\sqrt{s_{NN}}
= 5.5$ TeV are calculated and discussed using MACE.


title:
The interface free energy: Comparison of accurate Monte Carlo results
  for the 3D Ising model with effective interface models

abstract:
  We provide accurate Monte Carlo results for the free energy of interfaces
with periodic boundary conditions in the 3D Ising model. We study a large range
of inverse temperatures, allowing to control corrections to scaling. In
addition to square interfaces, we study rectangular interfaces for a large
range of aspect ratios u=L_1/L_2. Our numerical results are compared with
predictions of effective interface models. This comparison verifies clearly the
effective Nambu-Goto model up to two-loop order. Our data also allow us to
obtain the estimates T_c sigma^-1/2=1.235(2), m_0++ sigma^-1/2=3.037(16) and
R_+=f_+^2 sigma_0 =0.387(2), which are more precise than previous ones.


title: The equation of state of solid nickel aluminide

abstract:
  The pressure-volume-temperature equation of state of the intermetallic
compound NiAl was calculated theoretically, and compared with experimental
measurements. Electron ground states were calculated for NiAl in the CsCl
structure, using density functional theory, and were used to predict the cold
compression curve and the density of phonon states. The Rose form of
compression curve was found to reproduce the ab initio calculations well in
compression but exhibited significant deviations in expansion. A
thermodynamically-complete equation of state was constructed for NiAl. Shock
waves were induced in crystals of NiAl by the impact of laser-launched Cu
flyers and by launching NiAl flyers into transparent windows of known
properties. The TRIDENT laser was used to accelerate the flyers to speeds
between 100 and 600m/s. Point and line-imaging laser Doppler velocimetry was
used to measure the acceleration of the flyer and the surface velocity history
of the target. The velocity histories were used to deduce the stress state, and
hence states on the principal Hugoniot and the flow stress. Flyers and targets
were recovered from most experiments. The effect of elasticity and plastic flow
in the sample and window was assessed. The ambient isotherm reproduced static
compression data very well, and the predicted Hugoniot was consistent with
shock compression data.


title: Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8

abstract:
  We report the observation of quantum oscillations in the underdoped cuprate
superconductor YBa2Cu4O8 using a tunnel-diode oscillator technique in pulsed
magnetic fields up to 85T. There is a clear signal, periodic in inverse field,
with frequency 660+/-15T and possible evidence for the presence of two
components of slightly different frequency. The quasiparticle mass is
m*=3.0+/-0.3m_e. In conjunction with the results of Doiron-Leyraud et al. for
YBa2Cu3O6.5, the present measurements suggest that Fermi surface pockets are a
general feature of underdoped copper oxide planes and provide information about
the doping dependence of the Fermi surface.


title: What is Special About the Planck Mass?

abstract:
  Planck introduced his famous units of mass, length and time a hundred years
ago. The many interesting facets of the Planck mass and length are explored.
The Planck mass ubiquitously occurs in astrophysics, cosmology, quantum
gravity, string theory, etc. Current aspects of its implications for
unification of fundamental interactions, energy dependence of coupling
constants, dark energy, etc. are discussed.


title: The squeezed generalized amplitude damping channel

abstract:
  Squeezing of a thermal bath introduces new features absent in an open quantum
system interacting with an uncorrelated (zero squeezing) thermal bath. The
resulting dynamics, governed by a Lindblad-type evolution, extends the concept
of a generalized amplitude damping channel, which corresponds to a dissipative
interaction with a purely thermal bath. Here we present the Kraus
representation of this map, which we call the squeezed generalized amplitude
damping channel. As an application of this channel to quantum information, we
study the classical capacity of this channel.


title: Global reanalysis of nPDFs

abstract:
  In this talk, we present the results from our recent global reanalysis of
nuclear parton distribution functions (nPDFs), where the DGLAP-evolving nPDFs
are constrained by nuclear hard process data from deep inelastic $l+A$
scattering (DIS) and the Drell-Yan (DY) process in $p+A$ collisions, and by sum
rules. The main improvements over our earlier work {\em EKS98} are the
automated $\chi^2$ minimization, better controllable fit functions and
possibility for error estimates. The obtained 16-parameter fit to N=514
datapoints is good, $\chi^2/{\rm d.o.f}=0.82$. Fit quality comparison and the
error estimates obtained show that the old {\em EKS98} parametrization is fully
consistent with the present automated reanalysis. Comparison with other global
nPDF analyses is presented as well. Within the DGLAP framework we also discuss
the possibility of incorporating a clearly stronger gluon shadowing, which is
suggested by the RHIC BRAHMS data from d+Au collisions.


title:
How to create and detect N-dimensional entangled photons with an active
  phase hologram

abstract:
  The experimental realization of multidimensional quantum states may lead to
unexplored and interesting physics, as well as advanced quantum communication
protocols. The orbital angular momentum of photons is a well suitable discrete
degree of freedom for implementing high-dimensional quantum systems. The
standard method to generate and manipulate such photon modes is to use bulk and
fixed optics. Here the authors demonstrate the utilization of a spatial light
modulator to manipulate the orbital angular momentum of entangled photons
generated in spontaneous parametric downconversion. They show that their setup
allows them to realize photonic entanglement of up to 21 dimensions, which in
principle can be extended to even larger dimensions.


title:
Magnetic Single-Electron Transistor as a Tunable Model System for
  Kondo-Destroying Quantum Criticality

abstract:
  Single-electron transistors attached to ferromagnetic leads can undergo a
continuous quantum phase transition as their gate voltage is tuned. The
corresponding quantum critical point separates a Fermi liquid phase from a
non-Fermi liquid one. Here, we expound on the physical idea proposed earlier.
The key physics is the critical destruction of the Kondo effect, which
underlies a new class of quantum criticality that has been argued to apply to
heavy fermion metals. Its manifestation in the transport properties is studied
through an effective Bose-Fermi Kondo model; the bosonic bath, corresponding to
the spin waves of the ferromagnetic leads, describes a particular type of
sub-Ohmic dissipation. We also present results for general forms of sub-Ohmic
dissipative bath, and consider in some detail the case with critical paramagons
replacing spin waves. Finally, we discuss some delicate aspects in the
theoretical treatment of the effect of a local magnetic field, particularly in
connection with the frequently employed Non-Crossing Approximation.


title:
The STIRAP-based unitary decelerating and accelerating processes of a
  single free atom

abstract:
  A STIRAP-based unitary decelerating (accelerating) process consists of a
train of the standard three-state STIRAP pulse sequences which may act as the
basic unitary decelerating (accelerating) sequences. The present work is
focused on investigating analytically and quantitatively how the momentum
distribution of a momentum superposition state such as a momentum Gaussian
wave-packet state of a single freely moving atom affects the STIRAP state
transfer in these decelerating and accelerating processes. The complete STIRAP
state transfer and the unitarity of these processes are stressed highly in the
investigation. It has been shown that the momentum distribution has an
important influence upon the STIRAP state-transfer efficiency. In the ideal
adiabatic condition these unitary decelerating and accelerating processes for a
freely moving atom are studied in detail, and it is shown that they can be used
to manipulate and control in time and space the center-of-mass position and
momentum of a Gaussian wave-packet motional state of a free atom. Two general
(strict and accurate) adiabatic conditions for the basic STIRAP decelerating
and accelerating processes are derived analytically. With the help of the
STIRAP theory and the unitary quantum dynamics it confirms theoretically that
the time- and space-compressing processes of the quantum control process
(quant-ph/0607144) can be realized almost perfectly by the STIRAP-based unitary
decelerating and accelerating processes in the ideal or nearly ideal adiabatic
condition.


title: Causal Propagation of Spin-Cascades

abstract:
  We gauge the direct product of the Proca with the Dirac equation that
describes the coupling to the electromagnetic field of the spin-cascade
(1/2,3/2) residing in the four-vector spinor and analyze propagation of its
wave fronts in terms of the Courant-Hilbert criteria. We show that the
differential equation under consideration is unconditionally hyperbolic and the
propagation of its wave fronts unconditionally causal. In this way we proof
that the irreducible spin-cascade embedded within four-vector is free from the
Velo-Zwanziger problem that plagues the Rarita-Schwinger description of
spin-3/2. The proof extends also to the direct product of two Proca equations
and implies causal propagation of the spin-cascade (0,1,2) within an
electromagnetic environment.


title:
Superconducting-normal interface propagation speed in superconducting
  thin films

abstract:
  In this paper a new approach to obtain the interface propagation speed in
superconductors by means of a variationalme thod is introduced. The results of
the approach proposed coincide with the numerical simulations. The hyperbolic
differential equations are introduced as an extension of the modelin order to
take into account delay effects in the front propagation due to the pinning.


title:
First detection of galaxy-galaxy-galaxy lensing in RCS. A new tool for
  studying the matter environment of galaxy pairs

abstract:
  The weak gravitational lensing effect, small coherent distortions of galaxy
images by means of a gravitational tidal field, can be used to study the
relation between the matter and galaxy distribution. In this context, weak
lensing has so far only been used for considering a second-order correlation
function that relates the matter density and galaxy number density as a
function of separation. We implement two new, third-order correlation functions
that have recently been suggested in the literature, and apply them to the
Red-Sequence Cluster Survey. We demonstrate that it is possible, even with
already existing data, to make significant measurements of third-order lensing
correlations. We develop an optimised computer code for the correlation
functions. To test its reliability a set of tests are performed. The
correlation functions are transformed to aperture statistics, which allow easy
tests for remaining systematics in the data. In order to further verify the
robustness of our measurement, the signal is shown to vanish when randomising
the source ellipticities. Finally, the lensing signal is compared to crude
predictions based on the halo-model. On angular scales between roughly 1 arcmin
and 11 arcmin a significant third-order correlation between two lens positions
and one source ellipticity is found. We discuss this correlation function as a
novel tool to study the average matter environment of pairs of galaxies.
Correlating two source ellipticities and one lens position yields a less
significant but nevertheless detectable signal on a scale of 4 arcmin. Both
signals lie roughly within the range expected by theory which supports their
cosmological origin.[ABRIDGED]


title: Multiparticle Production at High Multiplicities

abstract:
  Theoretical and experimental studies of high multiplicity events are
analyzed. Some interesting phenomena can be revealed at high multiplicities.
Preliminary results of project "Thermalization" are reported.


title: Hot Massive Stars: The Impact of HST

abstract:
  We review the contribution of Hubble Space Telescope to the study of hot,
luminous stars. Optical and IR imaging have permitted spatially resolved
observations of young, massive clusters within Local Group galaxies, such as
R136, NGC 3603 and Arches, revealing unprecedented concentrations of very
massive O stars. UV spectroscopy of field OB stars in the Magellanic Clouds
have provided suitable templates for interpretation of metal-poor star-forming
galaxies at high-redshift. Spectacular imaging provides the detailed structure
of ejecta nebulae from individual stars, including the Homunculus associated
with eta Carinae and M1-67, associated with a Wolf-Rayet star. HST has
permitted individual massive stars to be spatially resolved in giant HII
regions located beyond the Local Group, such as NGC 604, plus individual
clusters, dominated by the light of massive stars within starburst galaxies at
larger distances, such as NGC 3125. UV spectroscopy of young, massive clusters
in the extremely metal-poor HII galaxy I Zw 18 include signatures of large
numbers of Wolf-Rayet stars.


title:
Vibrational spectra of C60C8H8 and C70C8H8 in the rotor-stator and
  polymer phases

abstract:
  C60-C8H8 and C70-C8H8 are prototypes of rotor-stator cocrystals. We present
infrared and Raman spectra of these materials and show how the rotor-stator
nature is reflected in their vibrational properties. We measured the
vibrational spectra of the polymer phases poly(C60C8H8) and poly(C70C8H8)
resulting from a solid state reaction occurring on heating. Based on the
spectra we propose a connection pattern for the fullerene in poly(C60C8H8),
where the symmetry of the C60 is D2h. On illuminating the C60-C8H8 cocrystal
with green or blue light a photochemical reaction was observed leading to a
similar product to that of the thermal polymerization.


title: Quantum subgroups of a simple quantum group at roots of 1

abstract:
  Let G be a connected, simply connected, simple complex algebraic group and
let e be a primitive l-th root of 1, with l odd and 3 does not divide l if G is
of type G_{2}. We determine all Hopf algebra quotients of the quantized
coordinate algebra of G at e.


title:
2+1 Flavor QCD simulated in the epsilon-regime in different topological
  sectors

abstract:
  We generated configurations with the parametrized fixed-point Dirac operator
D_{FP} on a (1.6 fm)^4 box at a lattice spacing a=0.13 fm. We compare the
distributions of the three lowest k=1,2,3 eigenvalues in the nu= 0,1,2
topological sectors with that of the Random Matrix Theory predictions. The
ratios of expectation values of the lowest eigenvalues and the cumulative
eigenvalue distributions are studied for all combinations of k and nu. After
including the finite size correction from one-loop chiral perturbation theory
we obtained for the chiral condensate in the MSbar scheme
Sigma(2GeV)^{1/3}=0.239(11) GeV, where the error is statistical only.


title: Language simulation after a conquest

abstract:
  When a region is conquered by people speaking another language, we assume
within the Schulze model that at each iteration each person with probability s
shifts to the conquering language. The time needed for the conquering language
to become dominating is about 2/s for directed Barabasi-Albert networks, but
diverges on the square lattice for decreasing s at some critical value sc


title: The Percolation Signature of the Spin Glass Transition

abstract:
  Magnetic ordering at low temperature for Ising ferromagnets manifests itself
within the associated Fortuin-Kasteleyn (FK) random cluster representation as
the occurrence of a single positive density percolating network. In this paper
we investigate the percolation signature for Ising spin glass ordering -- both
in short-range (EA) and infinite-range (SK) models -- within a two-replica FK
representation and also within the different Chayes-Machta-Redner two-replica
graphical representation. Based on numerical studies of the $\pm J$ EA model in
three dimensions and on rigorous results for the SK model, we conclude that the
spin glass transition corresponds to the appearance of {\it two} percolating
clusters of {\it unequal} densities.


title: On the epistemic view of quantum states

abstract:
  We investigate the strengths and limitations of the Spekkens toy model, which
is a local hidden variable model that replicates many important properties of
quantum dynamics. First, we present a set of five axioms that fully encapsulate
Spekkens' toy model. We then test whether these axioms can be extended to
capture more quantum phenomena, by allowing operations on epistemic as well as
ontic states. We discover that the resulting group of operations is isomorphic
to the projective extended Clifford Group for two qubits. This larger group of
operations results in a physically unreasonable model; consequently, we claim
that a relaxed definition of valid operations in Spekkens' toy model cannot
produce an equivalence with the Clifford Group for two qubits. However, the new
operations do serve as tests for correlation in a two toy bit model, analogous
to the well known Horodecki criterion for the separability of quantum states.


title: Herman's Theory Revisited

abstract:
  We prove that a $C^{2+\alpha}$-smooth orientation-preserving circle
diffeomorphism with rotation number in Diophantine class $D_\delta$,
$0<\delta<\alpha\le1$, is $C^{1+\alpha-\delta}$-smoothly conjugate to a rigid
rotation. We also derive the most precise version of Denjoy's inequality for
such diffeomorphisms.


title:
Collision of high-energy closed strings: Formation of a ring-like
  apparent horizon

abstract:
  We study collisions of two high-energy closed strings in the framework of
$D$-dimensional general relativity. The model of a high-energy closed string is
introduced as a {/it pp}-wave generated by a ring-shaped source with the radius
$R$. At the instant of the collision, the positions of two strings are assumed
to coincide precisely. In this setup, we study the formation of two kinds of
apparent horizons (AHs): the AH of topology $S^{D-2}$ (the black hole AH) and
the AH of topology $S^1/times S^{D-3}$ (the black ring AH). These two AHs are
solved numerically and the conditions for the formation of the two AHs are
clarified in terms of the ring radius $R$. Specifically, we demonstrate that
the black ring AH forms for sufficiently large $R$. The effects of an impact
parameter and the relative orientation of incoming strings in more general
cases are briefly discussed.


title: Finite Sections of Weighted Carleman's Inequality

abstract:
  We study finite sections of weighted Carleman's inequality following the
approach of De Bruijn. Similar to the unweighted case, we obtain an asymptotic
expression for the optimal constant.


title: Herman's Theory Revisited (Extension)

abstract:
  We prove that a $C^{3+\beta}$-smooth orientation-preserving circle
diffeomorphism with rotation number in Diophantine class $D_\delta$,
$0<\beta<\delta<1$, is $C^{2+\beta-\delta}$-smoothly conjugate to a rigid
rotation.


title: Five-quark picture of Lambda(1405) in anisotropic lattice QCD

abstract:
  Five-quark (5Q) picture of Lambda(1405) is studied using quenched lattice QCD
with an exotic 5Q operator of N\bar{K} type. To discreminate mere N\bar{K} and
\Sigma\pi scattering states, Hybrid Boundary Condition (HBC), a
flavor-dependent boundary condition, is imposed on the quark fields along
spatial direction. 5Q mass m_{5Q}\simeq 1.89 GeV is obtained after the chiral
extrapolation to the physical quark mass region, which is too heavy to be
identified with Lambda(1405). Then, Lambda(1405) seems neither a pure 3Q state
nor a pure 5Q state, and therefore we present an interesting possibility that
Lambda(1405) is a mixed state of 3Q and 5Q states.


title: Component sizes in networks with arbitrary degree distributions

abstract:
  We give an exact solution for the complete distribution of component sizes in
random networks with arbitrary degree distributions. The solution tells us the
probability that a randomly chosen node belongs to a component of size s, for
any s. We apply our results to networks with the three most commonly studied
degree distributions -- Poisson, exponential, and power-law -- as well as to
the calculation of cluster sizes for bond percolation on networks, which
correspond to the sizes of outbreaks of SIR epidemic processes on the same
networks. For the particular case of the power-law degree distribution, we show
that the component size distribution itself follows a power law everywhere
below the phase transition at which a giant component forms, but takes an
exponential form when a giant component is present.


title: Higher Derivative Corrections in Holographic QCD

abstract:
  We consider the effect of the R^4 term in type IIA string theory on the
supergravity background dual to N_c D4 branes compactified on a circle with
supersymmetry breaking boundary conditions. We study the dynamics of D8 branes
in this perturbed geometry in the probe approximation. This leads to an
analysis of higher derivative corrections in holographic QCD beyond the
supergravity approximation. We make a rough estimate of the corrections to the
masses of some of the lightest (axial) vector mesons. The corrections are
suppressed by a factor of (g_{YM}^2 N_c)^{-3} compared to their supergravity
values. We find that the masses of these mesons increase from their
supergravity values.


title:
Minimax Robust Function Reconstruction in Reproducing Kernel Hilbert
  Spaces

abstract:
  In this paper, we present a unified approach to function approximation in
reproducing kernel Hilbert spaces (RKHS) that establishes a previously
unrecognized optimality property for several well-known function approximation
techniques, such as minimum-norm interpolation, smoothing splines, and
pseudo-inverses. We consider the problem of approximating a function belonging
to an arbitrary real-valued RKHS on R^d based on approximate observations of
the function. The observations are approximate in the sense that the actual
observations (i.e., the true function values) are known only to belong to a
convex set of admissible observations. We seek a minimax optimal approximation
for the function that minimizes the supremum of the RKHS norm on the error
between the true function and the chosen approximation subject only to the
conditions that the true function belongs to a uniformly bounded uncertainty
set of functions that satisfy the constraints on the observations and that the
approximation is a member of the RKHS. We refer to such a solution as a minimax
robust reconstruction. We characterize the solution to the minimax robust
reconstruction problem and show that it is equivalent to solving a
straightforward convex optimization problem. We demonstrate that a minimax
robust reconstruction will generally be more stable than an approximation based
on interpolation through a nominal set of observations and that, subject to
some mild regularity conditions on the convex set of admissible observations,
the minimax robust reconstruction is unconditionally stable. We motivate our
results by characterizing the minimax robust reconstruction for several
specific convex observational models and discuss relationships with other
approaches to function approximation.


title: On Sound Reflection in Superfluid

abstract:
  We consider reflection of the first and the second sound waves by a rigid
flat wall in superfluid. Nontrivial dependence of the reflection coefficients
on the angle of incidence is obtained. Sound conversion is predicted at slanted
incidence.


title: Gallai Multigraphs

abstract:
  A complete edge-colored graph or multigraph is called Gallai if it lacks
rainbow triangles. We give a construction of all finite Gallai multigraphs.


title: First Measurement of the W Boson Mass in Run II of the Tevatron

abstract:
  We present a measurement of the W boson mass using 200/pb of data collected
in pbar p collisions at sqrt(s) = 1.96 TeV by the CDF II detector at Run II of
the Fermilab Tevatron. With a sample of 63964 W -> e nu candidates and 51128 W
-> mu nu candidates, we measure M_W = (80413 +- 34 (stat) +- 34 (syst) = 80413
+- 48) MeV/c^2. This is the most precise single measurement of the W boson mass
to date.


title:
Exploiting Nonlinear Recurrence and Fractal Scaling Properties for Voice
  Disorder Detection

abstract:
  Voice disorders affect patients profoundly, and acoustic tools can
potentially measure voice function objectively. Nonetheless, existing tools are
limited to analysing voices displaying near periodicity, and do not account for
inherent biophysical nonlinearity and non-Gaussian randomness. They do not
directly measure complex nonlinear aperiodicity, and turbulent, aeroacoustic,
non-Gaussian randomness. Often these tools have limited clinical usefulness.
This paper introduces two new tools to speech analysis: recurrence and fractal
scaling, which overcome the range limitations of existing tools by addressing
directly these two symptoms of disorder, and a simple bootstrapped classifier
distinguishes normal from disordered voices to 91.8% overall accuracy on a
large database of subjects with a wide variety of voice disorders. They are
widely applicable to the whole range of disordered voice phenomena by design.
These new measures could therefore be used for a variety of practical clinical
purposes.


title: Orthogonal Systems in Finite Graphs

abstract:
  Given a finite graph G there is a corresponding group given by the
presentation with generators the vertices of G and a relation [x,y]=1 for
generators x and y precisely when (x,y) is an edge of G. Such groups are known
as partially commutative groups (or right-angled Artin groups). In this paper
we construct orthogonality theory for graphs with the study of partially
commutative groups in mind. The theory developed here provides tools for the
study of the structure of the centraliser lattice of partially commutative
groups and for their automorphism groups.


title:
Perverse coherent sheaves and the geometry of special pieces in the
  unipotent variety

abstract:
  Let X be a scheme of finite type over a Noetherian base scheme S admitting a
dualizing complex, and let U be an open subset whose complement has codimension
at least 2. We extend the Deligne-Bezrukavnikov theory of perverse coherent
sheaves by showing that a coherent middle extension (or intersection
cohomology) functor from perverse sheaves on U to perverse sheaves on X may be
defined for a much broader class of perversities than has previously been
known. We also introduce a derived category version of the coherent middle
extension functor.
  Under suitable hypotheses, we introduce a construction (called
"S2-extension") in terms of perverse coherent sheaves of algebras on X that
takes a finite morphism to U and extends it in a canonical way to a finite
morphism to X. In particular, this construction gives a canonical
"S2-ification" of appropriate X. The construction also has applications to the
"Macaulayfication" problem, and it is particularly well-behaved when X is
Gorenstein.
  Our main goal, however, is to address a conjecture of Lusztig on the geometry
of special pieces (certain subvarieties of the unipotent variety of a reductive
algebraic group). The conjecture asserts in part that each special piece is the
quotient of some variety (previously unknown in the exceptional groups and in
positive characteristic) by the action of a certain finite group. We use
S2-extension to give a uniform construction of the desired variety.


title:
Bayesian estimates of free energies from nonequilibrium work data in the
  presence of instrument noise

abstract:
  The Jarzynski equality and the fluctuation theorem relate equilibrium free
energy differences to non-equilibrium measurements of the work. These relations
extend to single-molecule experiments that have probed the finite-time
thermodynamics of proteins and nucleic acids. The effects of experimental error
and instrument noise have not previously been considered. Here, we present a
Bayesian formalism for estimating free-energy changes from non-equilibrium work
measurements that compensates for instrument noise and combines data from
multiple driving protocols. We reanalyze a recent set of experiments in which a
single RNA hairpin is unfolded and refolded using optical tweezers at three
different rates. Interestingly, the fastest and farthest-from-equilibrium
measurements contain the least instrumental noise, and therefore provide a more
accurate estimate of the free energies than a few slow, more noisy,
near-equilibrium measurements. The methods we propose here will extend the
scope of single-molecule experiments; they can be used in the analysis of data
from measurements with AFM, optical, and magnetic tweezers.


title: Calculation of local Fourier transforms for formal connections

abstract:
  We calculate the local Fourier transforms for formal connections. In
particular, we verify an analogous conjecture suggested in Laumon's paper:
"Transformation de Fourier, constantes d'equations fonctionnelles et conjecture
de Weil, 2.6.3".


title:
Unheeded pseudo solution of Dirac-Coulomb equations with an indirect
  transformation of functions

abstract:
  We open out one of incorrect solutions of the Driac equation in the Coulomb
field given in a published paper. By introducing a transformation of function,
the paper transformed the original radial first-order Dirac-Coulomb equation
into two second-order Dirac-Coulomb equation. However, each of the second-order
differential equations has differential energy eigenvalues set. The original
paper wrote the two differential equations into one of forms, and then gave the
distinguished energy eigenvalues. The mathematical procedure is not correct.
For the same quantum system, introducing a transformation of function yields
two different energy eigenvaluse, the result violates the uniqueness of
solution. It actually shows that the given second-order differential equations
have no solution. On the other hand, the given formal solutions of the
second-order Dirac-Coulomb equations violate the conditions for determining
solution. Consequently, the solutions given by the author are pseudo solution,
and the corresponding energy eigenvalues set is also a pseudo eigenvalues set.


title: More Meta-Stable Brane Configurations without D6-Branes

abstract:
  We describe the intersecting brane configurations, consisting of NS-branes,
D4-branes(and anti-D4-branes), in type IIA string theory corresponding to the
meta-stable nonsupersymmetric vacua of N=1 SU(N_c) x SU(N_c') x SU(N_c'') gauge
theory with bifundamentals. By adding the orientifold 4-plane to these brane
configurations, we also discuss the meta-stable brane configurations for other
gauge theory with bifundamentals. Furthermore, we study the intersecting brane
configurations corresponding to the nonsupersymmetric meta-stable vacua of
other gauge theory with bifundamentals, by adding the orientifold 6-plane.


title: Maximum overhang

abstract:
  How far can a stack of $n$ identical blocks be made to hang over the edge of
a table? The question dates back to at least the middle of the 19th century and
the answer to it was widely believed to be of order $\log n$. Recently,
Paterson and Zwick constructed $n$-block stacks with overhangs of order
$n^{1/3}$, exponentially better than previously thought possible. We show here
that order $n^{1/3}$ is indeed best possible, resolving the long-standing
overhang problem up to a constant factor.


title:
Study of the linear ablation growth rate for the quasi isobaric model of
  Euler equations with thermal conductivity

abstract:
  In this paper, we study a linear system related to the 2d system of Euler
equations with thermal conduction in the quasi-isobaric approximation of
Kull-Anisimov [14]. This model is used for the study of the ablation front
instability, which appears in the problem of inertial confinement fusion. This
physical system contains a mixing region, in which the density of the gaz
varies quickly, and one denotes by L0 an associated characteristic length. The
system of equations is linearized around a stationary solution, and each
perturbed quantity is written using the normal modes method. The resulting
linear system is not self-adjoint, of order 5, with coefficients depending on x
and on physical parameters $\alpha, \beta$. We calculate Evans function
associated with this linear system, using rigorous constructions of decreasing
at $\pm \infty$ solutions of systems of ODE. We prove that for $\alpha$ small,
there is no bounded solution of the linearized system.


title:
On Bernoulli Decompositions for Random Variables, Concentration Bounds,
  and Spectral Localization

abstract:
  As was noted already by A. N. Kolmogorov, any random variable has a Bernoulli
component. This observation provides a tool for the extension of results which
are known for Bernoulli random variables to arbitrary distributions. Two
applications are provided here: i. an anti-concentration bound for a class of
functions of independent random variables, where probabilistic bounds are
extracted from combinatorial results, and ii. a proof, based on the Bernoulli
case, of spectral localization for random Schroedinger operators with arbitrary
probability distributions for the single site coupling constants. For a general
random variable, the Bernoulli component may be defined so that its conditional
variance is uniformly positive. The natural maximization problem is an optimal
transport question which is also addressed here.


title:
Coherent optical phase transfer over a 32-km fiber with 1-s instability
  at $10^{-17}$

abstract:
  The phase coherence of an ultrastable optical frequency reference is fully
maintained over actively stabilized fiber networks of lengths exceeding 30 km.
For a 7-km link installed in an urban environment, the transfer instability is
$6 \times 10^{-18}$ at 1-s. The excess phase noise of 0.15 rad, integrated from
8 mHz to 25 MHz, yields a total timing jitter of 0.085 fs. A 32-km link
achieves similar performance. Using frequency combs at each end of the
coherent-transfer fiber link, a heterodyne beat between two independent
ultrastable lasers, separated by 3.5 km and 163 THz, achieves a 1-Hz linewidth.


title:
Metal-less Metamaterial for Surface Plasmon Polariton guiding and
  amplification

abstract:
  We propose a novel metamaterial for Surface Plasmon Polarition guiding,
amplification and modulation. Specific example of AlN/GaN Quantum Cascade
Amplifier and its dispersion engineering are studied in details. The general
original concept of metamaterials based on inclusions of low-dimensional
quantum structures (artificial atoms) is discussed.


title: A multi-dimensional Markov chain and the Meixner ensemble

abstract:
  We show that the transition probability of the Markoc chain
$(G(j,1),...,G(j,n))_{j\ge 1}$, where the $G(i,j)'s$ are certain directed
last-passage times, is given by a determinant of a special form. An analogous
formula has recently been obtained by Warren in a Brownian motion model.
Furthermore we demonstrate that this formula leads to the Meixner ensemble when
we compute the distribution function for $G(m,n)$. We also obtain the Fredholm
determinant representation of this distribution, where the kernel has a double
contour integral representation.


title: Energy distributions from three-body decaying many-body resonances

abstract:
  We compute energy distributions of three particles emerging from decaying
many-body resonances. We reproduce the measured energy distributions from
decays of two archetypal states chosen as the lowest $0^{+}$ and
$1^{+}$-resonances in $^{12}$C populated in $\beta$-decays. These states are
dominated by sequential, through the $^{8}$Be ground state, and direct decays,
respectively. These decay mechanisms are reflected in the ``dynamic'' evolution
from small, cluster or shell-model states, to large distances, where the
coordinate or momentum space continuum wavefunctions are accurately computed.


title: On the One-Dimensional Optimal Switching Problem

abstract:
  We explicitly solve the optimal switching problem for one-dimensional
diffusions by directly employing the dynamic programming principle and the
excessive characterization of the value function. The shape of the value
function and the smooth fit principle then can be proved using the properties
of concave functions.


title: Sakai-Sugimoto Brane System at High Density

abstract:
  The D4-D8 brane system of Sakai-Sugimoto model at high quark density is
studied in the weak coupling regime. We show that the color superconducting
phase (for Nc~3) or the chiral density wave (for Nc->infinity) disappears at
very large chemical potential, or equivalently at very large compactified
dimension that the model possesses. We also comment on the prospects in the
strong coupling regime along with the QCD phase diagram.


title: Markov type of Alexandrov spaces of nonnegative curvature

abstract:
  We prove that Alexandrov spaces $X$ of nonnegative curvature have Markov type
2 in the sense of Ball. As a corollary, any Lipschitz continuous map from a
subset of $X$ into a 2-uniformly convex Banach space is extended as a Lipschitz
continuous map on the entire space $X$.


title: Simulation of the Polarized Fermion Decay

abstract:
  In this paper the modification of the method conventionally used for the
modeling of the massive fermions production and decays is proposed. The step by
step algorithm is presented. Under the strict conditions the proposed method of
modeling allow distinctly raise the efficiency of the computations.


title:
Giant Anisotropy of Magnetoresistance and "Spin Valve" effect in
  Antiferromagnetic $Nd_{2-x}Ce_xCuO_{4}$

abstract:
  We have studied anisotropic magnetoresistance (MR) and magnetization with
rotating magnetic field (B) within $CuO_2$ plane in lightly doped AF
$Nd_{2-x}Ce_xCuO_{4}$. \emph{A giant anisotropy} in MR is observed at low
temperature below 5 K. The c-axis resistivity can be tuned about one order of
magnitude just by changing B direction within $CuO_2$ plane and a scaling
behavior between out-of-plane and in-plane MR is found. A "Spin valve" effect
is proposed to understand the giant anisotropy of out-of-plane MR and the
evolution of scaling parameters with the external field. It is found that the
field-induced spin-flop transition of Nd$^{3+}$ layer under high magnetic field
is the key to understand the giant anisotropy. These results suggest that a
novel entanglement between charge and spin dominates the underlying physics.


title:
Moduli Stabilization, Large-Volume dS Minimum Without anti-D3-Branes,
  (Non-)Supersymmetric Black Hole Attractors and Two-Parameter Swiss Cheese
  Calabi-Yau's

abstract:
  We consider issues of moduli stabilization and "area codes" for type II flux
compactifications, and the "Inverse Problem" and "Fake Superpotentials" for
extremal (non)supersymmetric black holes in type II compactifications on
(orientifold of) a compact two-parameter Calabi-Yau expressed as a degree-18
hypersurface in WCP^4[1,1,1,6,9] which has multiple singular loci in its moduli
space. We argue the existence of extended "area codes" [1] wherein for the same
set of large NS-NS and RR fluxes, one can stabilize all the complex structure
moduli and the axion-dilaton modulus (to different sets of values) for points
in the moduli space away as well as near the different singular conifold loci
leading to the existence of domain walls. Using techniques of [3] we explicitly
show that given a set of moduli and choice of a gauge(the superpotential)
corresponding to an extremal black hole, one can actually work out the
corresponding charges (of the extremal black hole) - the so-called "inverse
problem". We also show the existence of "fake superpotentials" [4]
corresponding to non-BPS extremal black-hole solutions corresponding to the
aforementioned Calabi-Yau three-fold. By including non-perturbative alpha' and
instanton corrections in the Kaehler potential and superpotential [2], we show
the possibility of getting a large-volume non-supersymmetric (A)dS minimum - a
dS minimum without the addition of anti-D3 branes a la KKLT. The chosen
Calabi-Yau has been of relevance also from the point of other studies of
stabilization of the Kaehler moduli via nonperturbative instanton contributions
[5] and the possibility of getting non-supersymmetric AdS vacua (and their
subsequent dS-uplifts) using (alpha')^3 corrections to the Kaehler potential
[6,7,8].


title: The evolution of density perturbations in f(R) gravity

abstract:
  We give a rigorous and mathematically well defined presentation of the
Covariant and Gauge Invariant theory of scalar perturbations of a
Friedmann-Lemaitre-Robertson-Walker universe for Fourth Order Gravity, where
the matter is described by a perfect fluid with a barotropic equation of state.
The general perturbations equations are applied to a simple background solution
of R^n gravity. We obtain exact solutions of the perturbations equations for
scales much bigger than the Hubble radius. These solutions have a number of
interesting features. In particular, we find that for all values of n there is
always a growing mode for the density contrast, even if the universe undergoes
an accelerated expansion. Such a behaviour does not occur in standard General
Relativity, where as soon as Dark Energy dominates, the density contrast
experiences an unrelenting decay. This peculiarity is sufficiently novel to
warrant further investigation on fourth order gravity models.


title: Flexoelectric blue phases

abstract:
  We describe the occurence and properties of liquid crystal phases showing two
dimensional splay and bend distortions which are stabilised by flexoelectric
interactions. These phases are characterised by regions of locally double
splayed order separated by topological defects and are thus highly analogous to
the blue phases of cholesteric liquid crystals. We present a mean field
analysis based upon the Landau--de Gennes Q-tensor theory and construct a phase
diagram for flexoelectric structures using analytic and numerical results. We
stress the similarities and discrepancies between the cholesteric and
flexoelectric cases.


title: Width and finite extinction time of Ricci flow

abstract:
  This is an expository article with complete proofs intended for a general
non-specialist audience. The results are two-fold. First, we discuss a
geometric invariant, that we call the width, of a manifold and show how it can
be realized as the sum of areas of minimal 2-spheres. For instance, when $M$ is
a homotopy 3-sphere, the width is loosely speaking the area of the smallest
2-sphere needed to ``pull over'' $M$. Second, we use this to conclude that
Hamilton's Ricci flow becomes extinct in finite time on any homotopy 3-sphere.
We have chosen to write this since the results and ideas given here are quite
useful and seem to be of interest to a wide audience.


title:
Optically Unseen HI Detections towards the Virgo Cluster detected in the
  Arecibo Legacy Fast ALFA Survey

abstract:
  We report the discovery by the Arecibo Legacy Fast ALFA (ALFALFA) survey of
eight HI features not coincident with stellar counterparts in the Virgo Cluster
region. All of the HI clouds have cz < 3000 km/s and, if at the Virgo distance,
HI masses between 1.9 x 10**7 and 1.1 x 10**9 solar masses. Four of the eight
objects were reported or hinted at by previous studies and "rediscovered" by
ALFALFA. While some clouds appear to be associated with optical galaxies in
their vicinity, others show no clear association with a stellar counterpart.
Two of them are embedded in relatively dense regions of the cluster and are
associated with M49 and M86; they were previously known. The others are mostly
located in peripheral regions of the cluster. Especially notable are a
concentration of objects towards the so-called M cloud, 3 to 5 degrees to the
NW of M87, and a complex of several clouds projected roughly halfway between
M87 and M49. The object referred to as VIRGOHI21 and proposed to be a "dark
galaxy" is also detected and shown to be a tidal feature associated with NGC
4254.


title: The static spherically symmetric body in relativistic elasticity

abstract:
  In this paper is discussed a class of static spherically symmetric solutions
of the general relativistic elasticity equations. The main point of discussion
is the comparison of two matter models given in terms of their stored energy
functionals, i.e., the rule which gives the amount of energy stored in the
system when it is deformed. Both functionals mimic (and for small deformations
approximate) the classical Kirchhoff-St.Venant materials but differ in the
strain variable used. We discuss the behavior of the systems for large
deformations.


title: Canonical volume forms on compact K\"{a}hler manifolds

abstract:
  We construct a canonical singular hermitian metric with semipositive
curvature current on the canonical line bundle of a compact K\"{a}hler manifold
with pseudoeffective canonical bundle.


title: Holomorphy conditions of Fuji-Suzuki coupled Painlev\'e VI system

abstract:
  In this note, we give some holomorphy conditions of Fuji-Suzuki coupled
Painlev\'e VI system. We also give two translation operators acting on the
constant parameter $\eta$. We note a confluence process from the Fuji-Suzuki
system to the Noumi-Yamada system of type $A_5^{(1)}$.


title:
NGC 4254: An Act of Harassment Uncovered by the Arecibo Legacy Fast ALFA
  Survey

abstract:
  We present an HI map constructed from the Arecibo Legacy Fast ALFA (ALFALFA)
survey of the surroundings of the strongly asymmetric Virgo cluster Sc galaxy
NGC 4254. Noted previously for its lopsided appearance, rich interstellar
medium, and extradisk HI emission, NGC 4254 is believed to be entering the
Virgo environment for the first time and at high speed. The ALFALFA map clearly
shows a long HI tail extending ~250 kpc northward from the galaxy. Embedded as
one condensation within this HI structure is the object previously identified
as a "dark galaxy": Virgo HI21 (Davies et al. 2004). A body of evidence
including its location within and velocity with respect to the cluster and the
appearance and kinematics of its strong spiral pattern, extra-disk HI and
lengthy HI tail is consistent with a picture of "galaxy harassment" as proposed
by Moore et al. (1996a,b; 1998). The smoothly varying radial velocity field
along the tail as it emerges from NGC 4254 can be used as a timing tool, if
interpreted as resulting from the coupling of the rotation of the disk and the
collective gravitational forces associated with the harassment mechanism.


title: Viral population estimation using pyrosequencing

abstract:
  The diversity of virus populations within single infected hosts presents a
major difficulty for the natural immune response as well as for vaccine design
and antiviral drug therapy. Recently developed pyrophosphate based sequencing
technologies (pyrosequencing) can be used for quantifying this diversity by
ultra-deep sequencing of virus samples. We present computational methods for
the analysis of such sequence data and apply these techniques to pyrosequencing
data obtained from HIV populations within patients harboring drug resistant
virus strains. Our main result is the estimation of the population structure of
the sample from the pyrosequencing reads. This inference is based on a
statistical approach to error correction, followed by a combinatorial algorithm
for constructing a minimal set of haplotypes that explain the data. Using this
set of explaining haplotypes, we apply a statistical model to infer the
frequencies of the haplotypes in the population via an EM algorithm. We
demonstrate that pyrosequencing reads allow for effective population
reconstruction by extensive simulations and by comparison to 165 sequences
obtained directly from clonal sequencing of four independent, diverse HIV
populations. Thus, pyrosequencing can be used for cost-effective estimation of
the structure of virus populations, promising new insights into viral
evolutionary dynamics and disease control strategies.


title:
Higher derivatives and the inverse derivative of a tensor-valued
  function of a tensor

abstract:
  The n-th derivative of a tensor valued function of a tensor is defined by a
finite number of coefficients each with closed form expression.


title:
Non-Oberbeck-Boussinesq effects in two-dimensional Rayleigh-Benard
  convection in glycerol

abstract:
  We numerically analyze Non-Oberbeck-Boussinesq (NOB) effects in
two-dimensional Rayleigh-Benard flow in glycerol, which shows a dramatic change
in the viscosity with temperature. The results are presented both as functions
of the Rayleigh number (Ra) up to $10^8$ (for fixed temperature difference
between the top and bottom plates) and as functions of
"non-Oberbeck-Boussinesqness'' or "NOBness'' ($\Delta$) up to 50 K (for fixed
Ra). For this large NOBness the center temperature $T_c$ is more than 5 K
larger than the arithmetic mean temperature $T_m$ between top and bottom plate
and only weakly depends on Ra. To physically account for the NOB deviations of
the Nusselt numbers from its Oberbeck-Boussinesq values, we apply the
decomposition of $Nu_{NOB}/Nu_{OB}$ into the product of two effects, namely
first the change in the sum of the top and bottom thermal BL thicknesses, and
second the shift of the center temperature $T_c$ as compared to $T_m$. While
for water the origin of the $Nu$ deviation is totally dominated by the second
effect (cf. Ahlers et al., J. Fluid Mech. 569, pp. 409 (2006)) for glycerol the
first effect is dominating, in spite of the large increase of $T_c$ as compared
to $T_m$.


title: Complex trajectory method in time-dependent WKB

abstract:
  We present a significant improvement to a time-dependent WKB (TDWKB)
formulation developed by Boiron and Lombardi [JCP {\bf108}, 3431 (1998)] in
which the TDWKB equations are solved along classical trajectories that
propagate in the complex plane. Boiron and Lombardi showed that the method
gives very good agreement with the exact quantum mechanical result as long as
the wavefunction does not exhibit interference effects such as oscillations and
nodes. In this paper we show that this limitation can be overcome by
superposing the contributions of crossing trajectories. We also demonstrate
that the approximation improves when incorporating higher order terms in the
expansion. These improvements could make the TDWKB formulation a competitive
alternative to current time-dependent semiclassical methods.


title: Proton Structure Functions at High $Q^{2}$ and High x at HERA

abstract:
  Neutral and charged current deep inelastic scattering cross sections and
structure functions are presented. The review also discusses improvements to
the parton density measurements using jet cross section data and recent high
$Q^{2}$ inclusive cross section measurements. The projected parton density
uncertainties using the entire HERA data set are also presented.


title:
TOF-Brho Mass Measurements of Very Exotic Nuclides for Astrophysical
  Calculations at the NSCL

abstract:
  Atomic masses play a crucial role in many nuclear astrophysics calculations.
The lack of experimental values for relevant exotic nuclides triggered a rapid
development of new mass measurement devices around the world. The
Time-of-Flight (TOF) mass measurements offer a complementary technique to the
most precise one, Penning trap measurements, the latter being limited by the
rate and half-lives of the ions of interest. The NSCL facility provides a
well-suited infrastructure for TOF mass measurements of very exotic nuclei. At
this facility, we have recently implemented a TOF-Brho technique and performed
mass measurements of neutron-rich nuclides in the Fe region, important for
r-process calculations and for calculations of processes occurring in the crust
of accreting neutron stars.


title:
Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop
  Expansion

abstract:
  We derive an eikonal approximation to high energy interactions in Anti-de
Sitter spacetime, by generalizing a position space derivation of the eikonal
amplitude in flat space. We are able to resum, in terms of a generalized phase
shift, ladder and cross ladder graphs associated to the exchange of a spin j
field, to all orders in the coupling constant. Using the AdS/CFT
correspondence, the resulting amplitude determines the behavior of the dual
conformal field theory four point function < O_1 O_2 O_1 O_2 > for small values
of the cross ratios, in a Lorentzian regime. Finally we show that the phase
shift is dominated by graviton exchange and computes, in the dual CFT, the
anomalous dimension of the double trace primary operators O_1 \partial ...
\partial O_2 of large dimension and spin, corresponding to the relative motion
of the two interacting particles. The results are valid at strong t'Hooft
coupling and are exact in the 1/N expansion.


title:
Generation of primordial cosmological density inhomogeneities with scale
  invariant power spectrum during the standard radiation dominated expansion of
  the universe

abstract:
  The most distinctive feature of the primordial density inhomogeneities that
existed in the cosmic plasma at the instant of decoupling is their scale
invariant power spectrum ${\cal P}(k) \sim k$ over the range $k \ll H_{eq}$ of
modes with cosmologically large comoving wavelength. We characterize this
feature in real space, in terms of their correlation function at two points. We
show that over cosmologically large comoving distances $r \gg H^{-1}_{eq}$ the
primordial inhomogeneities were (anti)correlated as $f(r) \sim - r^{-4}$. We
revisit the so-called {\it origin of structures problem} of the standard
cosmology at the light of this observation. Our conclusions contradict the
current wisdom on this issue.


title: Jet confinement by magneto-torsional oscillations

abstract:
  Many quasars and active galactic nuclei (AGN) appear in radio, optical, and
X-ray maps, as a bright nuclear sources from which emerge single or double
long, thin jets. When observed with high angular resolution these jets show
structure with bright knots separated by relatively dark regions. Nonthermal
nature of a jet radiation is well explained as the synchrotron radiation of the
relativistic electrons in an ordered magnetic field. We consider magnetic
collimation, connected with torsional oscillations of a cylinder with elongated
magnetic field, and periodically distributed initial rotation around the
cylinder axis. The stabilizing azimuthal magnetic field is created here by
torsional oscillations, where charge separation is not necessary. Approximate
simplified model is developed. Ordinary differential equation is derived, and
solved numerically, what gives a possibility to estimate quantitatively the
range of parameters where jets may be stabilized by torsional oscillations.


title:
Identified particle measurements at large transverse momenta in Cu+Cu
  collisions at RHIC

abstract:
  Differential measurements of various particle species over an extended
momentum range provide a sensitive experimental tool for investigation of
energy loss mechanisms in the medium created in nucleus-nucleus collisions at
RHIC. In these proceedings, a systematic study of transverse momentum spectra
for charged pions, protons and antiprotons from Cu+Cu data at
$\sqrt{s_{NN}}=200$GeV as a function of collision centrality will be presented.
Such systematic studies provide additional insights into the interplay between
fragmentation and non-fragmentation contributions to the particle production.
To investigate system size effects on energy loss, a comparison of top energy
results for Cu+Cu and Au+Au collision systems are made.