title:
Non-equilibrium of Ionization and the Detection of Hot Plasma in
  Nanoflare-heated Coronal Loops

abstract:
  Impulsive nanoflares are expected to transiently heat the plasma confined in
coronal loops to temperatures of the order of 10 MK. Such hot plasma is hardly
detected in quiet and active regions, outside flares. During rapid and short
heat pulses in rarified loops the plasma can be highly out of equilibrium of
ionization. Here we investigate the effects of the non-equilibrium of
ionization (NEI) on the detection of hot plasma in coronal loops.
Time-dependent loop hydrodynamic simulations are specifically devoted to this
task, including saturated thermal conduction, and coupled to the detailed
solution of the equations of ionization rate for several abundant elements. In
our simulations, initially cool and rarified magnetic flux tubes are heated to
10 MK by nanoflares deposited either at the footpoints or at the loop apex. We
test for different pulse durations, and find that, due to NEI effects, the loop
plasma may never be detected at temperatures above ~5 MK for heat pulses
shorter than about 1 min. We discuss some implications in the framework of
multi-stranded nanoflare-heated coronal loops.


title:
Extremely Non-symmetric, Non-multiplicative, Non-commutative Operator
  Spaces

abstract:
  Motivated by importance of operator spaces contained in the set of all scalar
multiples of isometries ($MI$-spaces) in a separable Hilbert space for
$C^*$-algebras and E-semigroups we exhibit more properties of such spaces. For
example, if an $MI$-space contains an isometry with shift part of finite
multiplicity, then it is one-dimensional. We propose a simple model of a
unilateral shift of arbitrary multiplicity and show that each separable
subspace of a Hilbert space is the range of a shift. Also, we show that
$MI$-spaces are non-symmetric, very unfriendly to multiplication, and prove a
Commutator Identity which elucidates the extreme non-commutativity of these
spaces.


title:
Comparison of Statistical Multifragmentation Model simulations with
  Canonical Thermodynamical Model results: a few representative cases

abstract:
  The statistical multifragmentation model (SMM) has been widely used to
explain experimental data of intermediate energy heavy ion collisions. A later
entrant in the field is the canonical thermodynamic model (CTM) which is also
being used to fit experimental data. The basic physics of both the models is
the same, namely that fragments are produced according to their statistical
weights in the available phase space. However, they are based on different
statistical ensembles, and the methods of calculation are different: while the
SMM uses Monte-Carlo simulations, the CTM solves recursion relations. In this
paper we compare the predictions of the two models for a few representative
cases.


title:
Universal structure of subleading infrared poles in gauge theory
  amplitudes

abstract:
  We study the origin of subleading soft and collinear poles of form factors
and amplitudes in dimensionally-regulated massless gauge theories. In the case
of form factors of fundamental fields, these poles originate from a single
function of the coupling, denoted G(alpha_s), depending on both the spin and
gauge quantum numbers of the field. We relate G(alpha_s) to gauge-theory matrix
elements involving the gluon field strength. We then show that G(alpha_s) is
the sum of three terms: a universal eikonal anomalous dimension, a universal
non-eikonal contribution, given by the coefficient B_delta (alpha_s) of delta(1
- z) in the collinear evolution kernel, and a process-dependent short-distance
coefficient function, which does not contribute to infrared poles. Using
general results on the factorization of soft and collinear singularities in
fixed-angle massless gauge theory amplitudes, we conclude that all such
singularities are captured by the eikonal approximation, supplemented only by
the knowledge of B_delta (alpha_s). We explore the consequences of our results
for conformal gauge theories, where in particular we find a simple exact
relation between the form factor and the cusp anomalous dimension.


title: Linear Statistics of Point Processes via Orthogonal Polynomials

abstract:
  For arbitrary $\beta > 0$, we use the orthogonal polynomials techniques
developed by R. Killip and I. Nenciu to study certain linear statistics
associated with the circular and Jacobi $\beta$ ensembles. We identify the
distribution of these statistics then prove a joint central limit theorem. In
the circular case, similar statements have been proved using different methods
by a number of authors. In the Jacobi case these results are new.


title:
On the dual equivalence between self-dual and Maxwell-Chern-Simons
  models with Lorentz symmetry breaking

abstract:
  In this paper, we use gauge embedding procedure and master action approach to
establish the equivalence between the self-dual and Maxwell-Chern-Simons models
with Lorentz symmetry breaking. As a result, new kinds of Lorentz-breaking
terms arise.


title: Logic programming with social features

abstract:
  In everyday life it happens that a person has to reason about what other
people think and how they behave, in order to achieve his goals. In other
words, an individual may be required to adapt his behaviour by reasoning about
the others' mental state. In this paper we focus on a knowledge representation
language derived from logic programming which both supports the representation
of mental states of individual communities and provides each with the
capability of reasoning about others' mental states and acting accordingly. The
proposed semantics is shown to be translatable into stable model semantics of
logic programs with aggregates.


title:
Observation of a 2D Bose-gas: from thermal to quasi-condensate to
  superfluid

abstract:
  We present experimental results on a Bose gas in a quasi-2D geometry near the
Berezinskii, Kosterlitz and Thouless (BKT) transition temperature. By measuring
the density profile, \textit{in situ} and after time of flight, and the
coherence length, we identify different states of the gas. In particular, we
observe that the gas develops a bimodal distribution without long range order.
In this state, the gas presents a longer coherence length than the thermal
cloud; it is quasi-condensed but is not superfluid. Experimental evidence
indicates that we observe the superfluid transition (BKT transition).


title:
Long time Anderson localization for nonlinear random Schroedinger
  equation

abstract:
  We prove long time Anderson localization for nonlinear random Schroedinger
equation in $\ell^2$ by making a Birkoff normal form type transform to creat an
energy barrier where there is essentially no mode propagation. One of the new
features is that this transform is in a small neighborhood enabling us to treat
"rough" data, where there are no moment conditions. The formulation of the
present result is inspired by the RAGE theorem.


title: Towards applied theories based on computability logic

abstract:
  Computability logic (CL) (see http://www.cis.upenn.edu/~giorgi/cl.html) is a
recently launched program for redeveloping logic as a formal theory of
computability, as opposed to the formal theory of truth that logic has more
traditionally been. Formulas in it represent computational problems, "truth"
means existence of an algorithmic solution, and proofs encode such solutions.
Within the line of research devoted to finding axiomatizations for ever more
expressive fragments of CL, the present paper introduces a new deductive system
CL12 and proves its soundness and completeness with respect to the semantics of
CL. Conservatively extending classical predicate calculus and offering
considerable additional expressive and deductive power, CL12 presents a
reasonable, computationally meaningful, constructive alternative to classical
logic as a basis for applied theories. To obtain a model example of such
theories, this paper rebuilds the traditional, classical-logic-based Peano
arithmetic into a computability-logic-based counterpart. Among the purposes of
the present contribution is to provide a starting point for what, as the author
wishes to hope, might become a new line of research with a potential of
interesting findings -- an exploration of the presumably quite unusual
metatheory of CL-based arithmetic and other CL-based applied systems.


title: Hyper-atoms and the critical pair Theory

abstract:
  We introduce the notion of a hyper-atom. One of the main results of this
paper is the $\frac{2|G|}3$--Theorem:
  Let $S$ be a finite generating subset of an abelian group $G$ of order $\ge
2$. Let $T$ be a finite subset of $G$ such that $2\le |S|\le |T|$, $S+T$ is
aperiodic, $0\in S\cap T$ and $$ \frac{2|G|+2}3\ge |S+T|= |S|+|T|-1.$$ Let $H$
be a hyper-atom of $S$. Then $S$ and $T$ are $H$--quasi-periodic. Moreover
$\phi(S)$ and $\phi(T)$ are arithmetic progressions with the same difference,
where $\phi :G\mapsto G/H$ denotes the canonical morphism. This result implies
easily the traditional critical pair Theory and its basic stone: Kemperman's
Structure Theorem.


title: Reliability of Layered Neural Oscillator Networks

abstract:
  We study the reliability of large networks of coupled neural oscillators in
response to fluctuating stimuli. Reliability means that a stimulus elicits
essentially identical responses upon repeated presentations. We view the
problem on two scales: neuronal reliability, which concerns the repeatability
of spike times of individual neurons embedded within a network, and
pooled-response reliability, which addresses the repeatability of the total
synaptic output from the network. We find that individual embedded neurons can
be reliable or unreliable depending on network conditions, whereas pooled
responses of sufficiently large networks are mostly reliable. We study also the
effects of noise, and find that some types affect reliability more seriously
than others.


title: Long's Equation in Terrain Following Coordinates

abstract:
  Long's equation describes two dimensional stratified atmospheric flow over
terrain which is represented by the geometry of the domain. The solutions of
this equation over simple topography were investigated analytically and
numerically by many authors. In this paper we derive a new terrain following
formulation of this equation which incorporates the terrain as part of the
differential equation rather than the geometry of the domain. This leads to new
analytic insights about the solutions of this equation and enable us to compute
steady state gravity wave patterns over complex topography.


title: Orbital analogue of quantum anomalous Hall effect in $p$-band systems

abstract:
  We investigate the topological insulating states of the $p$-band systems in
optical lattices induced by the onsite orbital angular momentum polarization,
which exhibit gapless edge modes in the absence of Landau levels. This effect
arises from the energy level splitting between the onsite $p_x+ip_y$ and
$p_x-ip_y$ orbitals by rotating each optical lattice site around its own
center. At large rotation angular velocities, this model naturally reduces to
two copies of Haldane's quantum Hall model without Landau levels. The
distribution of Berry curvature in the momentum space and the quantized Chern
numbers are calculated. The experimental realization is also discussed.


title:
Fluctuating Stripes in Strongly Correlated Electron Systems and the
  Nematic-Smectic Quantum Phase Transition

abstract:
  We discuss the quantum phase transition between a quantum nematic metallic
state to an electron metallic smectic state in terms of an order-parameter
theory coupled to fermionic quasiparticles. Both commensurate and
incommensurate smectic (or stripe) cases are studied. Close to the quantum
critical point (QCP), the spectrum of fluctuations of the nematic phase has
low-energy ``fluctuating stripes''. We study the quantum critical behavior and
find evidence that, contrary to the classical case, the gauge-type of coupling
between the nematic and smectic is irrelevant at this QCP. The collective modes
of the electron smectic (or stripe) phase are also investigated. The effects of
the low-energy bosonic modes on the fermionic quasiparticles are studied
perturbatively, for both a model with full rotational symmetry and for a system
with an underlying lattice, which has a discrete point group symmetry. We find
that at the nematic-smectic critical point, due to the critical smectic
fluctuations, the dynamics of the fermionic quasiparticles near several points
on the Fermi surface, around which it is reconstructed, are not governed by a
Landau Fermi liquid theory. On the other hand, the quasiparticles in the
smectic phase exhibit Fermi liquid behavior. We also present a detailed
analysis of the dynamical susceptibilities in the electron nematic phase close
to this QCP (the fluctuating stripe regime) and in the electronic smectic
phase.


title:
Deformation-obstruction theory for complexes via Atiyah and
  Kodaira--Spencer classes

abstract:
  We give a universal approach to the deformation-obstruction theory of objects
of the derived category of coherent sheaves over a smooth projective family. We
recover and generalise the obstruction class of Lowen and Lieblich, and prove
that it is a product of Atiyah and Kodaira--Spencer classes. This allows us to
obtain deformation-invariant virtual cycles on moduli spaces of objects of the
derived category on threefolds.


title: Coding Theory and Projective Spaces

abstract:
  The projective space of order $n$ over a finite field $\F_q$ is a set of all
subspaces of the vector space $\F_q^{n}$. In this work, we consider
error-correcting codes in the projective space, focusing mainly on constant
dimension codes. We start with the different representations of subspaces in
the projective space. These representations involve matrices in reduced row
echelon form, associated binary vectors, and Ferrers diagrams. Based on these
representations, we provide a new formula for the computation of the distance
between any two subspaces in the projective space. We examine lifted maximum
rank distance (MRD) codes, which are nearly optimal constant dimension codes.
We prove that a lifted MRD code can be represented in such a way that it forms
a block design known as a transversal design. The incidence matrix of the
transversal design derived from a lifted MRD code can be viewed as a
parity-check matrix of a linear code in the Hamming space. We find the
properties of these codes which can be viewed also as LDPC codes. We present
new bounds and constructions for constant dimension codes. First, we present a
multilevel construction for constant dimension codes, which can be viewed as a
generalization of a lifted MRD codes construction. This construction is based
on a new type of rank-metric codes, called Ferrers diagram rank-metric codes.
Then we derive upper bounds on the size of constant dimension codes which
contain the lifted MRD code, and provide a construction for two families of
codes, that attain these upper bounds. We generalize the well-known concept of
a punctured code for a code in the projective space to obtain large codes which
are not constant dimension. We present efficient enumerative encoding and
decoding techniques for the Grassmannian. Finally we describe a search method
for constant dimension lexicodes.


title: New cubature formulae and hyperinterpolation in three variables

abstract:
  A new algebraic cubature formula of degree $2n+1$ for the product Chebyshev
measure in the $d$-cube with $\approx n^d/2^{d-1}$ nodes is established. The
new formula is then applied to polynomial hyperinterpolation of degree $n$ in
three variables, in which coefficients of the product Chebyshev orthonormal
basis are computed by a fast algorithm based on the 3-dimensional FFT.
Moreover, integration of the hyperinterpolant provides a new Clenshaw-Curtis
type cubature formula in the 3-cube.


title: Comment on "Molecular Transport Junctions: Clearing Mists"

abstract:
  This is a comment to a review article by Lindsay and Ratner titled "Molecular
Transport Junctions: Clearing Mists".


title: CMB and 21-cm Signals for Dark Matter with a Long-Lived Excited State

abstract:
  Motivated by the eXciting Dark Matter (XDM) model of Finkbeiner & Weiner,
hypothesized to explain the 511 keV signal in the center of the Milky Way, we
consider the CMB and 21-cm signatures of models of dark matter with collisional
long-lived excited states. We compute the relic excitation fraction from the
early universe for a variety of assumptions about the collisional de-excitation
cross-section and thermal decoupling. The relic excitation fraction can be as
high as 1% for natural regions of parameter space, but could be orders of
magnitude smaller. Since the lifetime of the excited state is naturally greater
than 10^13s, we discuss the signatures of such relic excitation on cosmic
microwave background (CMB) and high-z 21-cm observations. Such models have
potentially richer astrophysical signals than the traditional WIMP
annihilations and decays, and may have observable consequences for future
generations of experiments.


title: ExoFit: Orbital Parameters of Extra-solar Planets from Radial Velocities

abstract:
  Retrieval of orbital parameters of extrasolar planets poses considerable
statistical challenges.Due to sparse sampling, measurement errors, parameters
degeneracy and modelling limitations, there are no unique values of basic
parameters, such as period and eccentricity. Here, we estimate the orbital
parameters from radial velocity data in a Bayesian framework by utilizing
Markov Chain Monte Carlo (MCMC) simulations with the Metropolis-Hastings
algorithm. We follow a methodology recently proposed by Gregory and Ford. Our
implementation of MCMC is based on the object-oriented approach outlined by
Graves. We make our resulting code, ExoFit, publicly available with this paper.
It can search for either one or two planets as illustrated on mock data. As an
example we re-analysed the orbital solution of companions to HD 187085 and HD
159868 from the published radial velocity data. We confirm the degeneracy
reported for orbital parameters of the companion to HD 187085, and show that a
low-eccentricity orbit is more probable for this planet. For HD 159868, we
obtained slightly different orbital solution and a relatively high 'noise'
factor indicating the presence of an unaccounted signal in the radial velocity
data. ExoFit is designed in such a way that it can be extended for a variety of
probability models, including different Bayesian priors.


title: Dissipation and Extra Light in Galactic Nuclei: II. 'Cusp' Ellipticals

abstract:
  We study the origin and properties of 'extra' or 'excess' central light in
the surface brightness profiles of cusp or power-law ellipticals. Dissipational
mergers give rise to two-component profiles: an outer profile established by
violent relaxation acting on stars present in the progenitors prior to the
final merger, and an inner stellar population comprising the extra light,
formed in a compact starburst. Combining a large set of hydrodynamical
simulations with data that span a broad range of profiles and masses, we show
that this picture is borne out -- cusp ellipticals are indeed 'extra light'
ellipticals -- and examine how the properties of this component scale with
global galaxy properties. We show how to robustly separate the 'extra' light,
and demonstrate that observed cusps are reliable tracers of the degree of
dissipation in the spheroid-forming merger. We show that the typical degree of
dissipation is a strong function of stellar mass, tracing observed disk gas
fractions at each mass. We demonstrate a correlation between extra light
content and effective radius at fixed mass: systems with more dissipation are
more compact. The outer shape of the light profile does not depend on mass,
with a mean outer Sersic index ~2.5. We explore how this relates to shapes,
kinematics, and stellar population gradients. Simulations with the gas content
needed to match observed profiles also reproduce observed age, metallicity, and
color gradients, and we show how these can be used as tracers of the degree of
dissipation in spheroid formation.


title: Binary Evolutionary Models

abstract:
  In this talk, we present the general principles of binary evolution and give
two examples. The first example is the formation of subdwarf B stars (sdBs) and
their application to the long-standing problem of ultraviolet excess (also
known as UV-upturn) in elliptical galaxies. The second is for the progenitors
of type Ia supernovae (SNe Ia). We discuss the main binary interactions, i.e.,
stable Roche lobe overflow (RLOF) and common envelope (CE) evolution, and show
evolutionary channels leading to the formation of various binary-related
objects. In the first example, we show that the binary model of sdB stars of
Han et al. (2002, 2003) can reproduce field sdB stars and their counterparts,
extreme horizontal branch (EHB) stars, in globular clusters. By applying the
binary model to the study of evolutionary population synthesis, we have
obtained an ``a priori'' model for the UV-upturn of elliptical galaxies and
showed that the UV-upturn is most likely resulted from binary interactions.
This has major implications for understanding the evolution of the UV excess
and elliptical galaxies in general. In the second example, we introduce the
single degenerate channel and the double degenerate channel for the progenitors
of SNe Ia. We give the birth rates and delay time distributions for each
channel and the distributions of companion stars at the moment of SN explosion
for the single degenerate channel, which would help to search for the remnant
companion stars observationally.


title: Nodal Spin Density Wave and band topology of the FeAs based materials

abstract:
  The recently discovered FeAs-based materials exhibit a $(\pi,0)$ Spin Density
Wave (SDW) in the undoped state, which gives way to superconductivity upon
doping. Here we show that due to an interesting topological feature of the band
structure, the SDW state cannot acquire a full gap. This is demonstrated within
the SDW mean-field theory of both a simplified two band model and a more
realistic 5-band model. The positions of the nodes are different in the two
models and can be used to detected the validity of each model.


title: Neutrino Masses and the LHC: Testing Type II Seesaw

abstract:
  We demonstrate how to systematically test a well-motivated mechanism for
neutrino mass generation (Type-II seesaw) at the LHC, in which a Higgs triplet
is introduced. In the optimistic scenarios with a small Higgs triplet vacuum
expectation value vd < 10^{-4} GeV, one can look for clean signals of lepton
number violation in the decays of doubly charged and singly charged Higgs
bosons to distinguish the Normal Hierarchy (NH), the Inverted Hierarchy (IH)
and the Quasi-Degenerate (QD) spectrum for the light neutrino masses. The
observation of either H+ --> tau+ nubar or H+ --> e+ nubar will be particularly
robust for the spectrum test since they are independent of the unknown Majorana
phases. The H++ decays moderately depend on a Majorana phase Phi2 in the NH,
but sensitively depend on Phi1 in the IH. In a less favorable scenario vd > 2
10^{-4} GeV, when the leptonic channels are suppressed, one needs to observe
the decays H+ --> W+ H_1 and H+ --> t bbar to confirm the triplet-doublet
mixing which in turn implies the existence of the same gauge-invariant
interaction between the lepton doublet and the Higgs triplet responsible for
the neutrino mass generation. In the most optimistic situation, vd approx
10^{-4} GeV, both channels of the lepton pairs and gauge boson pairs may be
available simultaneously. The determination of their relative branching
fractions would give a measurement for the value of vd.


title: Public Discourse in the Web Does Not Exhibit Group Polarization

abstract:
  We performed a massive study of the dynamics of group deliberation among
several websites containing millions of opinions on topics ranging from books
to media. Contrary to the common phenomenon of group polarization observed
offline, we measured a strong tendency towards moderate views in the course of
time. This phenomenon possibly operates through a self-selection bias whereby
previous comments and ratings elicit contrarian views that soften the previous
opinions.


title: Covert Channels in SIP for VoIP signalling

abstract:
  In this paper, we evaluate available steganographic techniques for SIP
(Session Initiation Protocol) that can be used for creating covert channels
during signaling phase of VoIP (Voice over IP) call. Apart from characterizing
existing steganographic methods we provide new insights by introducing new
techniques. We also estimate amount of data that can be transferred in
signalling messages for typical IP telephony call.


title: Non-Isothermal Model for Nematic Spherulite Growth

abstract:
  A computational study of the growth of two-dimensional nematic spherulites in
an isotropic phase was performed using a Landau-de Gennes type quadrupolar
ensor order parameter model for the first-order isotropic/nematic transition of
5CB (pentyl-cyanobiphenyl). An energy balance, taking anisotropy into account,
was derived and incorporated into the time-dependent model. Growth laws were
determined for two different spherulite morphologies of the form tn, with and
without the inclusion of thermal effects. Results show that incorporation of
the thermal energy balance correctly predicts the transition of the growth law
exponent from the volume driven regime (n=1) to the thermally limited regime
(approaching n=0.5), agreeing well with experimental observations. An
interfacial nemato-dynamic model is used to gain insight into the interactions
that result in the progression of different spherulite growth regimes.


title:
Dark Matter Densities during the Formation of the First Stars and in
  Dark Stars

abstract:
  The first stars in the universe form inside $\sim 10^6 M_\odot$ dark matter
(DM) haloes whose initial density profiles are laid down by gravitational
collapse in hierarchical structure formation scenarios. During the formation of
the first stars in the universe, the baryonic infall compresses the dark matter
further. The resultant dark matter density is presented here, using an
algorithm originally developed by Young to calculate changes to the profile as
the result of adiabatic infall in a spherical halo model; the Young
prescription takes into account the non-circular motions of halo particles. The
density profiles obtained in this way are found to be within a factor of two of
those obtained using the simple adiabatic contraction prescription of
Blumenthal et al. Our results hold regardless of the nature of the dark matter
or its interactions and rely merely on gravity. If the dark matter consists of
weakly interacting massive particles, which are their own antiparticles, their
densities are high enough that their annihilation in the first protostars can
indeed provide an important heat source and prevent the collapse all the way to
fusion. In short, a ``Dark Star'' phase of stellar evolution, powered by DM
annihilation, may indeed describe the first stars in the universe.


title: Poisson Geometry of Directed Networks in a Disk

abstract:
  We investigate Poisson properties of Postnikov's map from the space of edge
weights of a planar directed network into the Grassmannian. We show that this
map is Poisson if the space of edge weights is equipped with a representative
of a 6-parameter family of universal quadratic Poisson brackets and the
Grasmannian is viewed as a Poisson homogeneous space of the general linear
group equipped with an appropriately chosen R-matrix Poisson-Lie structure. We
also prove that Poisson brackets on the Grassmannian arising in this way are
compatible with the natural cluster algebra structure.


title: Entanglement of Valence-Bond-Solid on an Arbitrary Graph

abstract:
  The Affleck-Kennedy-Lieb-Tasaki (AKLT) spin interacting model can be defined
on an arbitrary graph. We explain the construction of the AKLT Hamiltonian.
Given certain conditions, the ground state is unique and known as the
Valence-Bond-Solid (VBS) state. It can be used in measurement-based quantum
computation as a resource state instead of the cluster state. We study the VBS
ground state on an arbitrary connected graph. The graph is cut into two
disconnected parts: the block and the environment. We study the entanglement
between these two parts and prove that many eigenvalues of the density matrix
of the block are zero. We describe a subspace of eigenvectors of the density
matrix corresponding to non-zero eigenvalues. The subspace is the degenerate
ground states of some Hamiltonian which we call the block Hamiltonian.

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


title:
Random Hierarchical Matrices: Spectral Properties and Relation to
  Polymers on Disordered Trees

abstract:
  We study the statistical and dynamic properties of the systems characterized
by an ultrametric space of states and translationary non-invariant symmetric
transition matrices of the Parisi type subjected to "locally constant"
randomization. Using the explicit expression for eigenvalues of such matrices,
we compute the spectral density for the Gaussian distribution of matrix
elements. We also compute the averaged "survival probability" (SP) having sense
of the probability to find a system in the initial state by time $t$. Using the
similarity between the averaged SP for locally constant randomized Parisi
matrices and the partition function of directed polymers on disordered trees,
we show that for times $t>t_{\rm cr}$ (where $t_{\rm cr}$ is some critical
time) a "lacunary" structure of the ultrametric space occurs with the
probability $1-{\rm const}/t$. This means that the escape from some bounded
areas of the ultrametric space of states is locked and the kinetics is confined
in these areas for infinitely long time.


title:
The cardiac Ca-sensitive regulatory switch, a system in dynamic
  equilibrium

abstract:
  The Ca-sensitive regulatory switch of cardiac muscle is a paradigmatic
example of protein assemblies that communicate ligand binding through
allosteric change. The switch is a dimeric complex of troponin C (TnC), an
allosteric sensor for Ca, and troponin I (TnI), an allosteric reporter.
Time-resolved equilibrium FRET measurements suggest that the switch activates
in two steps: a TnI-independent Ca-priming step followed by TnI-dependent
opening. To resolve the mechanistic role of TnI in activation we performed
stopped-flow FRET measurements of activation following rapid addition of a
lacking component (Ca or TnI) and deactivation following rapid chelation of Ca.
The time-resolved measurements, stopped-flow measurements, and Ca-titration
measurements were globally analyzed in terms of a new quantitative dynamic
model of TnC-TnI allostery. The analysis provided a mesoscopic parameterization
of distance changes, free energy changes, and transition rates among the
accessible coarse-grained states of the system. The results reveal (i) the
Ca-induced priming step, which precedes opening, is the rate limiting step in
activation, (ii) closing is the rate limiting step in deactivation, (iii) TnI
induces opening, (iv) an incompletely deactivated population when regulatory Ca
is not bound, which generates an accessory pathway of activation, and (v)
incomplete activation by Ca--when regulatory Ca is bound, a 3:2 mixture of
dynamically inter-converting open (active) and primed-closed (partially active)
conformers is observed (15 C). Temperature-dependent stopped-flow FRET
experiments provide a near complete thermo-kinetic parametrization of opening.
<Abstract Truncated>


title:
Comparative study of a solid film dewetting in an attractive substrate
  potentials with the exponential and the algebraic decay

abstract:
  We compare dewetting characteristics of a thin nonwetting solid film in the
absence of stress, for two models of a wetting potential: the exponential and
the algebraic. The exponential model is a one-parameter (r) model, and the
algebraic model is a two-parameter (r,m) model, where r is the ratio of the
characteristic wetting length to the height of the unperturbed film, and m is
the exponent of h (film height) in a smooth function that interpolates the
system's surface energy above and below the film-substrate interface at z=0.
The exponential model gives monotonically decreasing (with h) wetting chemical
potential, while this dependence is monotonic only for the m=1 case of the
algebraic model. Linear stability analysis of the planar equilibrium surface is
performed. Simulations of the surface dynamics in the strongly nonlinear regime
(large deviations from the planar equilibrium) and for large surface energy
anisotropies demonstrate that for any m the film is less prone to dewetting
when it is governed by the algebraic model. Quasiequilibrium states similar to
the one found in the exponential model (M. Khenner, Phys. Rev. B 77, 245445
(2008)) exist in the algebraic model as well, and the film morphologies are
similar.


title:
The IceCube Cosmological Connection: Status and prospects of the polar
  neutrino observatory

abstract:
  We report on the current construction status of the IceCube high energy
neutrino observatory and possible future construction plans. With the
completion of the fourth construction season in Feb. 2008, the observatory is
now instrumenting half a cubic kilometer of ice, greatly increasing the horizon
for high energy neutrino detection. We briefly describe physics topics related
to cosmology, such as indirect searches for supersymmetric cold dark matter,
for slow and relativistic magnetic monopoles, GZK neutrinos and violation of
Lorentz invariance or Equivalence Principle. It is anticipated that upon
completion the new detector will vastly increase the sensitivity and extend the
reach of AMANDA to higher energies.


title:
A high efficiency, low background detector for measuring pair-decay
  branches in nuclear decay

abstract:
  We describe a high efficiency detector for measuring electron-positron pair
transitions in nuclei. The device was built to be insensitive to gamma rays and
to accommodate high overall event rates. The design was optimized for total
pair kinetic energies up to about 7 MeV.


title: Weighted Vogan diagrams associated to real nilpotent orbits

abstract:
  We associate to each nilpotent orbit of a real semisimple Lie algebra $g_o$ a
weighted Vogan diagram, that is a Dynkin diagram with an involution of the
diagram, a subset of painted nodes and a weight for each node. Every nilpotent
element of $g_o$ is noticed in some subalgebra of $g_o$. In this paper we
characterize the weighted Vogan diagrams associated to orbits of noticed
nilpotent elements.


title: Anthropic prediction for a large multi-jump landscape

abstract:
  The assumption of a flat prior distribution plays a critical role in the
anthropic prediction of the cosmological constant. In a previous paper we
analytically calculated the distribution for the cosmological constant,
including the prior and anthropic selection effects, in a large toy
``single-jump'' landscape model. We showed that it is possible for the fractal
prior distribution we found to behave as an effectively flat distribution in a
wide class of landscapes, but only if the single jump size is large enough. We
extend this work here by investigating a large ($N \sim 10^{500}$) toy
``multi-jump'' landscape model. The jump sizes range over three orders of
magnitude and an overall free parameter $c$ determines the absolute size of the
jumps. We will show that for ``large'' $c$ the distribution of probabilities of
vacua in the anthropic range is effectively flat, and thus the successful
anthropic prediction is validated. However, we argue that for small $c$, the
distribution may not be smooth.


title:
Slave spin cluster mean field theory away from half-filling: Application
  to the Hubbard and the extended Hubbard Model

abstract:
  A new slave-spin representation of fermion operators has recently been
proposed for the half-filled Hubbard model. We show that with the addition of a
gauge variable, the formalism can be extended to finite doping. The resulting
spin problem can be solved using the cluster mean-field approximation. This
approximation takes short-range correlations into account by exact
diagonalization on the cluster, whereas long-range correlations beyond the size
of clusters are treated at the mean-field level. In the limit where the cluster
has only one site and the interaction strength $U$ is infinite, this approach
reduces to the Gutzwiller approximation. There are some qualitative differences
when the size of the cluster is finite. We first compute the critical $U$ for
the Mott transition as a function of a frustrating second-neighbor interaction
on lattices relevant for various correlated systems, namely the cobaltites, the
layered organic superconductors and the high-temperature superconductors. For
the triangular lattice, we also study the extended Hubbard model with
nearest-neighbor repulsion. In additionto a uniform metallic state, we find a
$\sqrt(3) \times \sqrt(3)$ charge density wave in a broad doping regime,
including commensurate ones. We find that in the large $U$ limit, intersite
Coulomb repulsion $V$ strongly suppresses the single-particle weight of the
metallic state.


title: Discovery of a massive variable star with Z=Zo/36 in the galaxy DDO 68

abstract:
  The Local Volume dwarf galaxy DDO 68, from the spectroscopy of its two
brightest HII regions (Knots 1 and 2) was designated as the second most
metal-poor star-forming galaxy [12+log(O/H)=7.14]. In the repeated spectral
observations in 2008 January with the 6-m telescope (BTA) of the HII region
Knot 3 [having 12+log(O/H)=7.10+-0.06], we find a strong evidence of a
transient event related to a massive star evolution. From the follow-up
observation with the higher spectral resolution in 2008 February, we confirm
this phenomenon, and give parameters of its emission-line spectrum comprising
of Balmer HI and HeI lines. The luminosities of the strongest transient lines
(Ha, Hb) are of a few 10^36 erg s^-1. We also detected an additional continuum
component in the new spectrum of Knot 3, which displays the spectral energy
distribution raising to ultraviolet. The estimate of the flux of this continuum
leads us to its absolute V-band magnitude of ~-7.1. Based on the spectral
properties of this transient component, we suggest that it is related to an
evolved massive star of luminous blue variable type with Z=Zo/36. We briefly
discuss observational constraints on parameters of this unique (in the aspect
of the record low metallicity of the progenitor massive star) event and propose
several lines of its study.


title:
Groups of volume-preserving diffeomorphisms of noncompact manifolds and
  mass flow toward ends

abstract:
  Suppose M is a noncompact connected oriented C^infty n-manifold and omega is
a positive volume form on M. Let D^+(M) denote the group of orientation
preserving diffeomorphisms of M endowed with the compact-open C^infty topology
and D(M; omega) denote the subgroup of omega-preserving diffeomorphisms of M.
In this paper we propose a unified approach for realization of mass transfer
toward ends by diffeomorphisms of M. This argument together with Moser's
theorem enables us to deduce two selection theorems for the groups D^+(M) and
D(M; omega). The first one is the extension of Moser's theorem to noncompact
manifolds, that is, the existence of sections for the orbit maps under the
action of D^+(M) on the space of volume forms. This implies that D(M; omega) is
a strong deformation retract of the group D^+(M; E^omega_M) consisting of h in
D^+(M) which preserves the set E^omega_M of omega-finite ends of M. The second
one is related to the mass flow toward ends under volume-preserving
diffeomorphisms of M. Let D_{E_M}(M; omega) denote the subgroup consisting of
all h in D(M; omega) which fix the ends E_M of M. S.R.Alpern and V.S.Prasad
introduced the topological vector space S(M; omega) of end charges of M and the
end charge homomorphism c^omega : D_{E_M}(M; omega) to S(M; omega), which
measures the mass flow toward ends induced by each h in D_{E_M}(M; omega). We
show that the homomorphism c^omega has a continuous section. This induces the
factorization D_{E_M}(M; omega) cong ker c^omega times S(M; omega) and it
implies that ker c^omega is a strong deformation retract of D_{E_M}(M; omega).


title: Teleportation in General Probabilistic Theories

abstract:
  In a previous paper, we showed that many important quantum
information-theoretic phenomena, including the no-cloning and no-broadcasting
theorems, are in fact generic in all non-classical probabilistic theories. An
exception is teleportation, which most such theories do not support. In this
paper, we investigate which probabilistic theories, and more particularly,
which composite systems, {\em do} support a teleportation protocol. We isolate
a natural class of composite systems that we term {\em regular}, and establish
necessary and sufficient conditions for a regular tripartite system to support
a conclusive, or post-selected, teleportation protocol. We also establish a
sufficient condition for deterministic teleportation that yields a large supply
of theories, neither classical nor quantum, that support such a protocol.


title:
Time evolution of the scattering data for a fourth-order linear
  differential operator

abstract:
  The time evolution of the scattering and spectral data is obtained for the
differential operator $\displaystyle\frac{d^4}{dx^4} +\displaystyle\frac{d}{dx}
u(x,t)\displaystyle\frac{d}{dx}+v(x,t),$ where $u(x,t)$ and $v(x,t)$ are
real-valued potentials decaying exponentially as $x\to\pm\infty$ at each fixed
$t.$ The result is relevant in a crucial step of the inverse scattering
transform method that is used in solving the initial-value problem for a pair
of coupled nonlinear partial differential equations satisfied by $u(x,t)$ and
$v(x,t).$


title:
The Araucaria Project: the Local Group Galaxy WLM--Distance and
  metallicity from quantitative spectroscopy of blue Supergiants

abstract:
  The quantitative analysis of low resolution spectra of A and B supergiants is
used to determine a distance modulus of 24.99 +/- 0.10 mag (995 +/- 46 Kpc) to
the Local Group galaxy WLM. The analysis yields stellar effective temperatures
and gravities, which provide a distance through the Flux weighted
Gravity--Luminosity Relationship (FGLR). Our distance is 0.07 mag larger than
the most recent results based on Cepheids and the tip of the RGB. This
difference is within the 1-sigma overlap of the typical uncertainties quoted in
these photometric investigations. In addition, non-LTE spectral synthesis of
the rich metal line spectra (mostly iron, chromium and titanium) of the A
supergiants is carried out, which allows the determination of stellar
metallicities. An average metallicity of -0.87 +/- 0.06 dex with respect to
solar metallicity is found.


title:
Search for neutral Higgs bosons in multi-$b$-jet events in $p\bar{p}$
  collisions at $\sqrt{s} = 1.96$ TeV

abstract:
  Data recorded by the D0 experiment at the Fermilab Tevatron Collider are
analyzed to search for neutral Higgs bosons produced in association with $b$
quarks. This production mode can be enhanced in the minimal supersymmetric
standard model (MSSM). The search is performed in the three $b$ quark channel
using multijet triggered events corresponding to an integrated luminosity of $1
\mathrm{fb}^{-1}$. No statistically significant excess of events with respect
to the predicted background is observed and limits are set in the MSSM
parameter space.


title:
Andreev reflection versus Coulomb blockade in hybrid semiconductor
  nanowire devices

abstract:
  Semiconductor nanowires provide promising low-dimensional systems for the
study of quantum transport phenomena in combination with superconductivity.
Here we investigate the competition between the Coulomb blockade effect,
Andreev reflection, and quantum interference, in InAs and InP nanowires
connected to aluminum-based superconducting electrodes. We compare three
limiting cases depending on the tunnel coupling strength and the characteristic
Coulomb interaction energy. For weak coupling and large charging energy,
negative differential conductance is observed as a direct consequence of the
BCS density of states in the leads. For intermediate coupling and charging
energy smaller than the superconducting gap, the current-voltage characteristic
is dominated by Andreev reflection and Coulomb blockade produces an effect only
near zero bias. For almost ideal contact transparencies and negligible charging
energy, we observe universal conductance fluctuations whose amplitude is
enhanced due to Andreev reflection at the contacts.


title: Some considerations on the Mac Dowell-Mansouri action

abstract:
  A precise relation is established between the Stelle-West formulation of the
Mac Dowell-Mansouri approach to a gauge theory of gravity and the approach
based on a gauged Wess-Zumino-Witten term. In particular, it is shown that a
consistent truncation of the latter correspond to the former. A brief review of
the Lovelock-Chern-Simons motivation behind the gauged WZW ones is also done.


title: Generalized improper integral definition for infinite limit

abstract:
  A generalization of the definition of a one-dimensional improper integral
with an infinite limit is presented. The new definition extends the range of
valid integrals to include integrals which were previously considered to not be
integrable. This definition is shown to preserve linearity and uniqueness.
Integrals which are valid under the conventional definition have the same value
under the new definition. Criteria for interchanging the order of integration
and differentiation, and for interchanging the order of integration with a
second integration, are determined. Examples are provided. A restriction on
changing the variable of integration using integration by substitution with the
new definition is demonstrated.


title: Combined fit to BaBar and Belle data on e+e- to pi+pi- psi(2S)

abstract:
  A combined fit is performed to the BaBar and Belle measurements of the e+e-
to pi+pi-psi(2S) cross sections for center-of-mass energy between threshold and
5.5 GeV. The resonant parameters of the Y(4360) and Y(4660) are determined. The
mass is 4355^{+9}_{-10}\pm 9 MeV/c^2 and the width is 103^{+17}_{-15}\pm 11
MeV/c^2 for the Y(4360), and the mass is 4661^{+9}_{-8}\pm 6 MeV/c^2 and the
width is 42^{+17}_{-12}\pm 6 MeV/c^2 for the Y(4660). The production of the
Y(4260) in pi+pi-psi(2S) mode is found to be at 2\sigma level, and B(Y(4260) to
pi+pi-psi(2S))\Gamma_{e+e-} is found to be less than 4.3 eV/c^2 at the 90%
confidence level, or equal to 7.4^{+2.1}_{-1.7} eV/c^2 depending on it
interferes with the Y(4360) constructively or destructively. These information
will shed light on the understanding of the nature of the Y states observed in
initial state radiation processes.


title: Homology rigidity of Grassmannians

abstract:
  Applying the theory of Gr\"{o}bner basis to the Schubert presentation of the
cohomology of Grassmannians, we extend the homology rigidity results known for
the classical Grassmannians to the exceptional cases.


title: Numerical study of t2g orbital system with ferromagnetic polarization

abstract:
  Finite temperature orbital state in a ferromagnetic Mott insulator with
triply-degenerate $t_{2g}$ orbital is investigated numerically. We employ the
quantum Monte Carlo simulation with the loop algorithm. Indications for
conventional staggered-type orbital order are not remarkable down to the lowest
temperature to which the present simulation can get access. Physical parameters
monitoring the off-diagonal orbital order, which is characterized by a linear
combination of the $(d_{yz}, d_{zx}, d_{xy})$ orbital-wave functions with equal
weights, are not conspicuous. It is found that a orbital gap-like behavior
appears in the uniform orbital susceptibility. This is supported by a threshold
behavior in the staggered correlation function in a calculation with the
additional Ising-type interaction. Some rigorous remarks for the long-range
orbital order are also presented.


title: Quantum Effects on Tachyon Dynamics

abstract:
  We investigate the relevance of quantum effects in the study of bulk tachyon
dynamics. We analyze the behavior of a system which consists of a tachyon, the
graviton and the dilaton through the use of the Wheeler-DeWitt equation in the
mini-superspace approximation, The singular behavior of the classical solution
for the system is modified so that the quantum behavior seems to be regular.


title: Statistical equilibrium of silicon in the solar atmosphere

abstract:
  The statistical equilibrium of neutral and ionised silicon in the solar
photosphere is investigated. Line formation is discussed and the solar silicon
abundance determined. High-resolution solar spectra were used to determine
solar $\log gf\epsilon_{\rm Si}$ values by comparison with Si line synthesis
based on LTE and NLTE level populations. The results will be used in a
forthcoming paper for differential abundance analyses of metal-poor stars. A
detailed analysis of silicon line spectra leads to setting up realistic model
atoms, which are exposed to interactions in plane-parallel solar atmospheric
models. The resulting departure coefficients are entered into a line-by-line
analysis of the visible and near-infrared solar silicon spectrum. The
statistical equilibrium of \ion{Si}{i} turns out to depend marginally on
bound-free interaction processes, both radiative and collisional. Bound-bound
interaction processes do not play a significant role either, except for
hydrogen collisions, which have to be chosen adequately for fitting the cores
of the near-infrared lines. Except for some near-infrared lines, the NLTE
influence on the abundances is weak. Taking the deviations from LTE in silicon
into account, it is possible to calculate the ionisation equilibrium from
neutral and ionised lines. The solar abundance based on the experimental
$f$-values of Garz corrected for the Becker et al.'s measurement is $7.52 \pm
0.05$. Combined with an extended line sample with selected NIST $f$-values, the
solar abundance is $7.52 \pm 0.06$, with a nearly perfect ionisation
equilibrium of $\Delta\log\epsilon_\odot(\ion{Si}{ii}/\ion{Si}{i}) = -0.01$.


title:
Inclination- and dust-corrected galaxy parameters: Bulge-to-disc ratios
  and size-luminosity relations

abstract:
  While galactic bulges may contain no significant dust of their own, the dust
within galaxy discs can strongly attenuate the light from their embedded
bulges. Furthermore, such dust inhibits the ability of
observationally-determined inclination corrections to recover intrinsic (i.e.
dust free) galaxy parameters. Using the sophisticated 3D radiative transfer
model of Popescu et al. and Tuffs et al., together with Driver et al.'s recent
determination of the average face-on opacity in nearby disc galaxies, we
provide simple equations to correct (observed) disc central surface
brightnesses and scalelengths for the effects of both inclination and dust in
the B, V, I, J and K passband. We then collate and homogenise various
literature data sets and determine the typical intrinsic scalelengths, central
surface brightnesses and magnitudes of galaxy discs as a function of
morphological type. All galaxies have been carefully modelled in their
respective papers with a Sersic bulge plus an exponential disc. Using the bulge
magnitude corrections from Driver et al., we additionally derive the average,
dust-corrected, bulge-to-disc flux ratio as a function of galaxy type. With
values typically less than 1/3, this places somewhat uncomfortable constraints
on some current semi-analytic simulations. Typical bulge sizes, profile shapes,
surface brightnesses and deprojected densities are provided. Finally, given the
two-component nature of disc galaxies, we present luminosity-size and (surface
brightness)-size diagrams for discs and bulges. We also show that the
distribution of elliptical galaxies in the luminosity-size diagram is not
linear but strongly curved.


title:
Non-hysteretic branches inside the hysteresis loop in VO2 films for
  focal plane array imaging bolometers

abstract:
  In the resistive phase transition in VO2, temperature excursions from points
on the major hysteresis loop produce minor loops. We have found that for
sufficiently small excursions these minor loops degenerate into single-valued,
non-hysteretic branches (NHBs) having essentially the same or even higher
temperature coefficient of resistance (TCR) as the semiconducting phase at room
temperature. We explain this behavior and discuss the opportunities it presents
for infrared imaging technology based on resistive microbolometers. It is
possible to choose a NHB with 100 to 1000 times smaller resistivity than in a
pure semiconducting phase, thus providing a microbolometer with low tunable
resistivity and high TCR.


title: Sequential tunneling and inelastic cotunneling in nanoparticle arrays

abstract:
  We investigate transport in weakly-coupled metal nanoparticle arrays,
focusing on the regime where tunneling is competing with strong single electron
charging effects. This competition gives rise to an interplay between two types
of charge transport. In sequential tunneling, transport is dominated by
independent electron hops from a particle to its nearest neighbor along the
current path. In inelastic cotunneling, transport is dominated by cooperative,
multi-electron hops that each go to the nearest neighbor but are synchronized
to move charge over distances of several particles. In order to test how the
temperature-dependent cotunnel distance affects the current-voltage ($I-V$)
characteristics we perform a series of systematic experiments on
highly-ordered, close-packed nanoparticle arrays. The arrays consist of $\sim
5.5$nm diameter gold nanocrystals with tight size dispersion, spaced $\sim
1.7$nm apart by interdigitating shells of dodecanethiol ligands. We present
$I-V$ data for mono-, bi-, tri- and tetralayer arrays. For stacks 2-4 layers
thick we compare in-plane measurements with data for vertical transport,
perpendicular to the array plane. Our results support a picture whereby
transport inside the Coulomb blockade regime occurs by inelastic cotunneling,
while sequential tunneling takes over at large bias above the global Coulomb
blockade threshold $V_t(T)$, and at high temperatures.


title: Nucleon Tensor Charge from Exclusive $\pi^o$ Electroproduction

abstract:
  Exclusive $\pi^o$ electroproduction from nucleons is suggested for extracting
the tensor charge and other quantities related to transversity from
experimental data. This process isolates C-parity odd and chiral odd
combinations of t-channel exchange quantum numbers. In a hadronic picture it
connects the meson production amplitudes to C-odd Regge exchanges with final
state interactions. In a description based on partonic degrees of freedom, the
helicity structure for this C-odd process relates to the quark helicity flip,
or chiral odd generalized parton distributions. This differs markedly from
deeply virtual Compton scattering, and both vector meson and charged $\pi$
electroproduction, where the axial charge can enter the amplitudes. Contrarily
the tensor charge enters the $\pi^o$ process. The connection through the
helicity description of the process to both the partonic and hadronic
perspectives is studied and exploited in model calculations to indicate how the
tensor charge and other transversity parameters can be related to cross section
and spin asymmetry measurements over a broad range of kinematics.


title:
Joint Cooperation and Multi-Hopping Increase the Capacity of Wireless
  Networks

abstract:
  The problem of communication among nodes in an \emph{extended network} is
considered, where radio power decay and interference are limiting factors. It
has been shown previously that, with simple multi-hopping, the achievable total
communication rate in such a network is at most $\Theta(\sqrt{N})$. In this
work, we study the benefit of node cooperation in conjunction with
multi-hopping on the network capacity. We propose a multi-phase communication
scheme, combining distributed MIMO transmission with multi-hop forwarding among
clusters of nodes. We derive the network throughput of this communication
scheme and determine the optimal cluster size. This provides a constructive
lower bound on the network capacity. We first show that in \textit{regular
networks} a rate of $\omega(N^{{2/3}})$ can be achieved with transmission power
scaling of $\Theta(N^{\frac{\alpha}{6}-{1/3}})$, where $\alpha>2$ is the signal
path-loss exponent. We further extend this result to \textit{random networks},
where we show a rate of $\omega (N^{2/3}(\log{N})^{(2-\alpha)/6})$ can be
achieved with transmission power scaling of
$\Theta(N^{\alpha/6-1/3}(\log{N})^{-(\alpha-2)^2/6})$ in a random network with
unit node density. In particular, as $\alpha$ approaches 2, only constant
transmission power is required. Finally, we study a random network with density
$\lambda=\Omega(\log{N})$ and show that a rate of $\omega((\lambda N)^{2/3})$
is achieved and the required power scales as
$\Theta(N^{\alpha/6-1/3}/\lambda^{\alpha/3-2/3})$.


title:
Stochastic Backgrounds of Gravitational Waves from Cosmological Sources:
  Techniques and Applications to Preheating

abstract:
  Several mechanisms exist for generating a stochastic background of
gravitational waves in the period following inflation. These mechanisms are
generally classical in nature, with the gravitational waves being produced from
inhomogeneities in the fields that populate the early universe and not quantum
fluctuations. The resulting stochastic background could be accessible to next
generation gravitational wave detectors. We develop a framework for computing
such a background analytically and computationally. As an application of our
framework, we consider the stochastic background of gravitational waves
generated in a simple model of preheating.


title: Contribution Of Blackhole Entropy Towards Acceleration Of The Universe

abstract:
  In a recent model Choudhury proposed that a collapsing matter generates an
adiabatic pressure which can be used to explain the acceleration of the
physical universe under certain approximation. In this work we superimpose the
core pressure generated through the entropy of the blackhole. We have ignored
the blackhole internal energy change during this process. We have then
calculated both Hubble parameter and the deacceleration parameter. We have
shown that the Hubble parameter is positive and the deacceleration parameter
fluctuates with time, meaning for certain period the universe accelerates and
decelerates for other time.


title: Nonextensive/dissipative correspondence in relativistic hydrodynamics

abstract:
  We argue that there is profound correspondence (the nonextensive/dissipative
correspondence - NexDC) between the perfect nonextensive hydrodynamics and the
usual dissipative hydrodynamics which leads to simple expression for
dissipative entropy current.


title:
Averages of ratios of characteristic polynomials in circular
  beta-ensembles and super-Jack polynomials

abstract:
  We study the averages of ratios of characteristic polynomials over circular
$\beta$-ensembles, where $\beta$ is a positive real number. Using Jack
polynomial theory, we obtain three expressions for ratio averages. Two of them
are given as sums of super-Jack polynomials and another one is given by a
hyperdeterminant. As applications, we give dual relations for ratio averages
between $\beta$ and $4/\beta$.


title: Two loop Kahler potential in beta-deformed N=4 SYM theory

abstract:
  In N=2 superconformal field theories the Kahler potential is known to be tree
level exact. The beta-deformation of N=4 SU(N) SYM reduces the amount of
supersymmetry to N=1, allowing for non-trivial, superconformal loop corrections
to the Kahler potential. We analyse the two-loop corrections on the Coulomb
branch for a complex deformation. For an arbitrary chiral field in the Cartan
subalgebra we reduce the problem of computing the two-loop Kahler potential to
that of diagonalising the mass matrix, we then present the result in a
manifestly superconformal form. The mass matrix diagonalisation is performed
for the case of the chiral background that induces the breaking pattern SU(N)
-> SU(N-2)*U(1)^2. Then, for the gauge group SU(3), the Kahler potential is
explicitly computed to the two-loop order.


title: The Lovelock Black Holes

abstract:
  Lovelock theory is a natural extension of Einstein theory of gravity to
higher dimensions, and it is of great interest in theoretical physics as it
describes a wide class of models. In particular, it describes string theory
inspired ultraviolet corrections to Einstein-Hilbert action, while admits the
Einstein general relativiy and the so called Chern-Simons theories of gravity
as particular cases. Recently, five-dimensional Lovelock theory has been
considered in the literature as a working example to illustrate the effects of
including higher-curvature terms in the context of AdS/CFT correspondence.
  Here, we give an introduction to the black hole solutions of Lovelock theory
and analyze their most important properties. These solutions can be regarded as
generalizations of the Boulware-Deser solution of Einstein-Gauss-Bonnet
gravity, which we discuss in detail here. We briefly discuss some recent
progress in understading these and other solutions, like topological black
holes that represent black branes of the theory, and vacuum thin-shell
wormhole-like geometries that connect two different asymptotically de-Sitter
spaces. We also make some comments on solutions with time-like naked
singularities.


title:
Entanglement sudden birth of two trapped ions interacting with a
  time-dependent laser field

abstract:
  We explore and develop the mathematics of the two multi-level ions. In
particular, we describe some new features of quantum entanglement in two
three-level trapped ions confined in a one-dimensional harmonic potential,
allowing the instantaneous position of the center-of-mass motion of the ions to
be explicitly time-dependent. By solving the exact dynamics of the system, we
show how survivability of the quantum entanglement is determined by a specific
choice of the initial state settings.


title:
Determination of the 3He+alpha\to 7Be asymp. normalization coefficients
  (nucl. vertex constants) and their application for extrapolation of the
  3He(alpha,gamma)7Be astroph. S-factors to the solar energy region

abstract:
  A new analysis of the precise experimental astrophysical $S$-factors for the
direct capture $^3He(\alpha,\gamma)^7{\rm {Be}}$ reaction [B.S. Nara Singh et
al., Phys.Rev.Lett. {\bf 93} (2004) 262503; D. Bemmerer et al., Phys.Rev.Lett.
{\bf 97} (2006) 122502; F.Confortola et al., Phys.Rev. {\bf C 75} (2007) 065803
and T.A.D.Brown et al., Phys.Rev. {\bf C 76} (2007) 055801] populating to the
ground and first excited states of $^7{\rm Be}$ is carried out based on the
modified two - body potential approach in which the direct astrophysical
$S$-factor, $S_{34}(E)$, is expressed in terms of the asymptotic normalization
constants for $^3{\rm {He}}+\alpha\to ^7{\rm {Be}}$ and two additional
conditions are involved to verify the peripheral character of the reaction
under consideration. The Woods--Saxon potential form is used for the bound
($\alpha+^3{\rm {He}}$)- state and the $^3{\rm {He}}\alpha$- scattering wave
functions. New estimates are obtained for the "indirectly measured", values of
the asymptotic normalization constants (the nuclear vertex constants) for
$^3{\rm {He}}+\alpha\to^7{\rm {Be}}(g.s.)$ and $^3{\rm {He}}+\alpha\to^7{\rm
{Be}}(0.429 MeV)$ as well as the astrophysical $S$-factors $S_{34}(E)$ at
E$\le$ 90 keV, including $E$=0. The values of asymptotic normalization
constants have been used for getting information about the $\alpha$-particle
spectroscopic factors for the mirror ($^7Li^7{\rm {Be}}$)-pair.


title: Macro- and Microscopic Self-Similarity in Neuro- and Psycho-Dynamics

abstract:
  The unique Hamiltonian description of neuro- and psycho-dynamics at the
macroscopic, classical, inter-neuronal level of brain's neural networks, and
microscopic, quantum, intra-neuronal level of brain's microtubules, is
presented in the form of open Liouville equations. This implies the arrow of
time in both neuro- and psycho-dynamic processes and shows the existence of the
formal neuro-biological space-time self-similarity.
  Keywords: Neuro- and psycho-dynamics, Brain microtubules, Hamiltonian and
Liouville dynamics, Neuro-biological self-similarity


title: AdS-CFT and the RHIC fireball

abstract:
  In this talk I will review my work on the description of high energy
scattering in QCD, in particular the fireball observed at RHIC, as well as
predictions for the LHC. The aim is to see how much we can learn about actual
QCD (nonsupersymmetric, $N_c=3$), without knowing the details of the gravity
dual of QCD. Experimental predictions are consistent with data, and important
consequences are obtained for the LHC, in particular for the $pp$ collisions.
The RHIC and LHC correspond to the regime of Froissart bound saturation, in the
Heisenberg model. Asymptotically, the RHIC fireball is mapped to a dual black
hole in the IR of the dual. A simple (and unique) scalar field theory model for
the RHIC fireball indeed exhibits the properties of the dual black hole: a
thermal horizon and aparent information loss.


title:
Constraints on local primordial non-Gaussianity from large scale
  structure

abstract:
  Recent work has shown that the local non-Gaussianity parameter f_NL induces a
scale-dependent bias, whose amplitude is growing with scale. Here we first
rederive this result within the context of peak-background split formalism and
show that it only depends on the assumption of universality of mass function,
assuming halo bias only depends on mass. We then use extended Press-Schechter
formalism to argue that this assumption may be violated and the scale dependent
bias will depend on other properties, such as merging history of halos. In
particular, in the limit of recent mergers we find the effect is suppressed.
Next we use these predictions in conjunction with a compendium of large scale
data to put a limit on the value of f_NL. When combining all data assuming that
halo occupation depends only on halo mass, we get a limit of -29 ~ (-65)< f_NL
< +70 ~(+93) at 95% (99.7%) confidence. While we use a wide range of datasets,
our combined result is dominated by the signal from the SDSS photometric quasar
sample. If the latter are modeled as recent mergers then the limits weaken to
-31 ~(-96) < f_NL < +70 ~ (+96) . These limits are comparable to the strongest
current limits from the WMAP 5 year analysis, with no evidence of a positive
signal in f_NL. While the method needs to be thoroughly tested against large
scale structure simulations with realistic quasar and galaxy formation models,
our results indicate that this is a competitive method relative to CMB and
should be further pursued both observationally and theoretically.


title:
Embedding property of $J$-holomorphic curves in Calabi-Yau manifolds for
  generic $J$

abstract:
  In this paper, we prove that for a generic choice of tame (or compatible)
almost complex structures $J$ on a symplectic manifold $(M^{2n},\omega)$ with
$n \geq 3$ and with its first Chern class $c_1(M,\omega) = 0$, all somewhere
injective $J$-holomorphic maps from any closed smooth Riemann surface into $M$
are \emph{embedded}. We derive this result as a consequence of the general
optimal 1-jet evaluation transversality result of $J$-holomorphic maps in
general symplectic manifolds that we also prove in this paper.


title:
Constraint of Non-thermal X-ray Emission from the On-going Merger
  Cluster Abell 3376 with Suzaku

abstract:
  Clusters of galaxies are among the best candidates for particle acceleration
sources in the universe, a signature of which is non-thermal hard X-ray
emission from the accelerated relativistic particles. We present early results
on Suzaku observations of non-thermal emission from Abell 3376, which is a
nearby on-going merger cluster. Suzaku observed the cluster twice, focusing on
the cluster center containing the diffuse radio emission to the east, and
cluster peripheral region to the west. For both observations, we detect no
excess hard X-ray emission above the thermal cluster emission. An upper limit
on the non-thermal X-ray flux of $2.1\times10^{-11}$ erg cm$^{-2}$ s$^{-1}$
(15--50 keV) at the 3$\sigma$ level from a $34\times34$ arcmin$^2$ region,
derived with the Hard X-ray Detector (HXD), is similar to that obtained with
the BeppoSAX/PDS. Using the X-ray Imaging Spectrometer (XIS) data, the upper
limit on the non-thermal emission from the West Relic is independently
constrained to be $<1.1\times10^{-12}$ erg s$^{-1}$ cm$^{-2}$ (4$-$8 keV) at
the 3$\sigma$ level from a 122 arcmin$^2$ region. Assuming Compton scattering
between relativistic particles and the cosmic microwave background (CMB)
photons, the intracluster magnetic field $B$ is limited to be $>0.03\mu$G (HXD)
and $>0.10\mu$G (XIS).


title: New Mechanics of Traumatic Brain Injury

abstract:
  The prediction and prevention of traumatic brain injury is a very important
aspect of preventive medical science. This paper proposes a new coupled
loading-rate hypothesis for the traumatic brain injury (TBI), which states that
the main cause of the TBI is an external Euclidean jolt, or SE(3)-jolt, an
impulsive loading that strikes the head in several coupled degrees-of-freedom
simultaneously. To show this, based on the previously defined covariant force
law, we formulate the coupled Newton-Euler dynamics of brain's micro-motions
within the cerebrospinal fluid and derive from it the coupled SE(3)-jolt
dynamics. The SE(3)-jolt is a cause of the TBI in two forms of brain's rapid
discontinuous deformations: translational dislocations and rotational
disclinations. Brain's dislocations and disclinations, caused by the
SE(3)-jolt, are described using the Cosserat multipolar viscoelastic continuum
brain model.
  Keywords: Traumatic brain injuries, coupled loading-rate hypothesis,
Euclidean jolt, coupled Newton-Euler dynamics, brain's dislocations and
disclinations


title: On adaptive Bayesian inference

abstract:
  We study the rate of Bayesian consistency for hierarchical priors consisting
of prior weights on a model index set and a prior on a density model for each
choice of model index. Ghosal, Lember and Van der Vaart [2] have obtained
general in-probability theorems on the rate of convergence of the resulting
posterior distributions. We extend their results to almost sure assertions. As
an application we study log spline densities with a finite number of models and
obtain that the Bayes procedure achieves the optimal minimax rate
$n^{-\gamma/(2\gamma+1)}$ of convergence if the true density of the
observations belongs to the H\"{o}lder space $C^{\gamma}[0,1]$. This
strengthens a result in [1; 2]. We also study consistency of posterior
distributions of the model index and give conditions ensuring that the
posterior distributions concentrate their masses near the index of the best
model.


title: Semiclassical Mechanism for the Quantum Decay in Open Chaotic Systems

abstract:
  We address the decay in open chaotic quantum systems and calculate
semiclassical corrections to the classical exponential decay. We confirm random
matrix predictions and, going beyond, calculate Ehrenfest time effects. To
support our results we perform extensive numerical simulations. Within our
approach we show that certain (previously unnoticed) pairs of interfering,
correlated classical trajectories are of vital importance. They also provide
the dynamical mechanism for related phenomena such as photo-ionization and
-dissociation, for which we compute cross section correlations. Moreover, these
orbits allow us to establish a semiclassical version of the continuity
equation.


title: Zero-energy vortex bound states in noncentrosymmetric superconductors

abstract:
  We consider bound states at the vortex core of a non-centrosymmetric
superconductor. We show that, despite the mixing of singlet and triplet order
parameters, zero energy states survive within certain parameter space as in
vortices of some chiral p-wave states.


title: Explicit error bounds for lazy reversible Markov Chain Monte Carlo

abstract:
  We prove explicit, i.e., non-asymptotic, error bounds for Markov Chain Monte
Carlo methods, such as the Metropolis algorithm. The problem is to compute the
expectation (or integral) of f with respect to a measure which can be given by
a density with respect to another measure. A straight simulation of the desired
distribution by a random number generator is in general not possible. Thus it
is reasonable to use Markov chain sampling with a burn-in. We study such an
algorithm and extend the analysis of Lovasz and Simonovits (1993) to obtain an
explicit error bound.


title: Human-Robot Biodynamics

abstract:
  This paper presents the scientific body of knowledge behind the Human
Biodynamics Engine (HBE), a human motion simulator developed on the concept of
Euclidean motion group SE(3), with 270 active degrees of freedom,
force-velocity-time muscular mechanics and two-level neural control -
formulated in the fashion of nonlinear humanoid robotics. The following aspects
of the HBE development are described: geometrical, dynamical, control,
physiological, AI, behavioral and complexity, together with several simulation
examples.
  Keywords: Human Biodynamics Engine, Euclidean SE(3)-group,
Lagrangian/Hamiltonian biodynamics, Lie-derivative control, muscular mechanics,
fuzzy-topological coordination, biodynamical complexity, validation,
application


title: Magnetism in Gallium doped CeFe_2: The martensitic scenario

abstract:
  Ce(Fe_{1-x}Ga_x)_2 compounds with x = 0, 0.01, 0.025 and 0.05 have been
investigated to unravel the effect of Ga on the magnetic state of CeFe_2. For
the first time, we find that the dynamic antiferromagnetic phase present in
CeFe_2 gets stabilized with Ga substitution. The hysteresis loops show that
while the compounds with x = 0 and 0.01 show normal behavior, the other two
show multiple magnetization steps across the antiferromagnetic-ferromagnetic
transition region. The virgin curve is found to lie outside the envelope curve
in these two compounds, similar to the observations made in Ru and Re
substituted CeFe_2 compounds. Temperature, sweep rate and time dependences of
the magnetization show that the compounds with x >=0.025 possess glassy
behavior at low temperatures. Various results obtained reveal that these two
compounds belong to the martensite family.


title:
Next-to-Leading Order perturbative QCD corrections to baryon correlators
  in matter

abstract:
  We compute the next-to-leading order perturbative QCD corrections to the
correlators of nucleon interpolating currents in relativistic nuclear matter.
The main new result is the calculation of the O(alpha_s) perturbative
corrections to the coefficient functions of the vector quark condensate in
matter. This condensate appears in matter due to the violation of Lorentz
invariance. The NLO perturbative QCD corrections turn out to be large which
implies that the NLO corrections must be included in a sum rule analysis of the
properties of both bound nucleons and relativistic nuclear matter.


title: Computationally Efficient Nonparametric Importance Sampling

abstract:
  The variance reduction established by importance sampling strongly depends on
the choice of the importance sampling distribution. A good choice is often hard
to achieve especially for high-dimensional integration problems. Nonparametric
estimation of the optimal importance sampling distribution (known as
nonparametric importance sampling) is a reasonable alternative to parametric
approaches.In this article nonparametric variants of both the self-normalized
and the unnormalized importance sampling estimator are proposed and
investigated. A common critique on nonparametric importance sampling is the
increased computational burden compared to parametric methods. We solve this
problem to a large degree by utilizing the linear blend frequency polygon
estimator instead of a kernel estimator. Mean square error convergence
properties are investigated leading to recommendations for the efficient
application of nonparametric importance sampling. Particularly, we show that
nonparametric importance sampling asymptotically attains optimal importance
sampling variance. The efficiency of nonparametric importance sampling
algorithms heavily relies on the computational efficiency of the employed
nonparametric estimator. The linear blend frequency polygon outperforms kernel
estimators in terms of certain criteria such as efficient sampling and
evaluation. Furthermore, it is compatible with the inversion method for sample
generation. This allows to combine our algorithms with other variance reduction
techniques such as stratified sampling. Empirical evidence for the usefulness
of the suggested algorithms is obtained by means of three benchmark integration
problems. As an application we estimate the distribution of the queue length of
a spam filter queueing system based on real data.


title: Deterministic optical quantum computer using photonic modules

abstract:
  The optical quantum computer is one of the few experimental systems to have
demonstrated small scale quantum information processing. Making use of cavity
quantum electrodynamics approaches to operator measurements, we detail an
optical network for the deterministic preparation of arbitrarily large
two-dimensional cluster states. We show that this network can form the basis of
a large scale deterministic optical quantum computer that can be fabricated
entirely on chip.


title:
On the probability distribution of stock returns in the Mike-Farmer
  model

abstract:
  Recently, Mike and Farmer have constructed a very powerful and realistic
behavioral model to mimick the dynamic process of stock price formation based
on the empirical regularities of order placement and cancelation in a purely
order-driven market, which can successfully reproduce the whole distribution of
returns, not only the well-known power-law tails, together with several other
important stylized facts. There are three key ingredients in the Mike-Farmer
(MF) model: the long memory of order signs characterized by the Hurst index
$H_s$, the distribution of relative order prices $x$ in reference to the same
best price described by a Student distribution (or Tsallis' $q$-Gaussian), and
the dynamics of order cancelation. They showed that different values of the
Hurst index $H_s$ and the freedom degree $\alpha_x$ of the Student distribution
can always produce power-law tails in the return distribution $f(r)$ with
different tail exponent $\alpha_r$. In this paper, we study the origin of the
power-law tails of the return distribution $f(r)$ in the MF model, based on
extensive simulations with different combinations of the left part $f_L(x)$ for
$x<0$ and the right part $f_R(x)$ for $x>0$ of $f(x)$. We find that power-law
tails appear only when $f_L(x)$ has a power-law tail, no matter $f_R(x)$ has a
power-law tail or not. In addition, we find that the distributions of returns
in the MF model at different timescales can be well modeled by the Student
distributions, whose tail exponents are close to the well-known cubic law and
increase with the timescale.


title:
A Numerical Study of Gluon Scattering Amplitudes in N=4 Super Yang-Mills
  Theory at Strong Coupling

abstract:
  We study gluon scattering amplitudes in N=4 super Yang-Mills theory at strong
coupling via the AdS/CFT correspondence. We solve numerically the discretized
Euler-Lagrange equations on the square worldsheet for the minimal surface with
light-like boundaries in AdS spacetime. We evaluate the area of the surface for
the 4, 6 and 8-point amplitudes using worldsheet and radial cut-off
regularizations. Their infrared singularities in the cut-off regularization are
found to agree with the analytical results near the cusp less than 5% at
520x520 lattice points.


title:
Estimating Entropy of Liquids from Atom-Atom Radial Distribution
  Functions: Silica, Beryllium Fluoride and Water

abstract:
  Molecular dynamics simulations of water, liquid beryllium fluoride and silica
melt are used to study the accuracy with which the entropy of ionic and
molecular liquids can be estimated from atom-atom radial distribution function
data. All three systems are known to display similar liquid-state thermodynamic
and kinetic anomalies due to a region of anomalous excess entropy behaviour
where entropy rises on isothermal compression. The pair correlation entropy is
demonstrated to be sufficiently accurate that the density-temperature regime of
anomalous behaviour as well as the strength of the entropy anomaly can be
predicted reliably for both ionic melts as well as different rigid-body pair
potentials for water. Errors in the total thermodynamic entropy for ionic melts
due to the pair correlation approximation are of the order of 10% or less for
most state points but can be significantly larger in the anomalous regime at
very low temperatures. In the case of water, as expected given the rigid-body
constraints for a molecular liquids, the pair correlation approximation causes
significantly larger errors, between 20 and 30%, for most state points.
Comparison of the excess entropy, Se, of ionic melts with the pair correlation
entropy, S2, shows that the temperature dependence of Se is well described by T
??2=5 scaling across both the normal and anomalous regimes, unlike in the case
of S2. As a function of density, the Se(rho) curves shows only a single maximum
while the S2(rho) curves show both a maximum and a minimum. These differences
in the behaviour of S2 and Se are due to the fact that the residual
multiparticle entropy, delta(S) = Se - S2, shows a strong negative correlation
with tetrahedral order in the anomalous regime.


title: Dynamical estimates of chaotic systems from Poincar\'e recurrences

abstract:
  We show that the probability distribution function that best fits the
distribution of return times between two consecutive visits of a chaotic
trajectory to finite size regions in phase space deviates from the exponential
statistics by a small power-law term, a term that represents the deterministic
manifestation of the dynamics, which can be easily experimentally detected and
theoretically estimated. We also provide simpler and faster ways to calculate
the positive Lyapunov exponents and the short-term correlation function by
either realizing observations of higher probable returns or by calculating the
eigenvalues of only one very especial unstable periodic orbit of low-period.
Finally, we discuss how our approaches can be used to treat data coming from
complex systems.


title: Jet-induced gauge field instabilities in the quark-gluon plasma

abstract:
  We discuss the properties of the collective modes of a system composed by a
thermalized quark-gluon plasma traversed by a relativistic jet of partons. The
transport equations obeyed by the components of the plasma and of the jet are
studied in the Vlasov approximation. Assuming that the partons in the jet can
be described with a tsunami-like distribution function we derive the
expressions of the dispersion law of the collective modes. Then the behavior of
the unstable gauge modes of the system is analyzed for various values of the
velocity of the jet, of the momentum of the collective modes and of the angle
between these two quantities. We find that the most unstable modes are those
with momentum orthogonal to the velocity of the jet, and the effect is stronger
for ultrarelativistic jet velocities. Our results suggest a new possible
collective mechanism for the description of the jet quenching phenomena in
heavy ion collisions.


title:
Gene profiling for determining pluripotent genes in a time course
  microarray experiment

abstract:
  In microarray experiments, it is often of interest to identify genes which
have a pre-specified gene expression profile with respect to time. Methods
available in the literature are, however, typically not stringent enough in
identifying such genes, particularly when the profile requires equivalence of
gene expression levels at certain time points. In this paper, the authors
introduce a new methodology, called gene profiling, that uses simultaneous
differential and equivalent gene expression level testing to rank genes
according to a pre-specified gene expression profile. Gene profiling treats the
vector of true gene expression levels as a linear combination of appropriate
vectors, i.e., vectors that give the required criteria for the profile. This
gene-profile model is fitted to the data and the resultant parameter estimates
are summarized in a single test statistic that is then used to rank the genes.
The theoretical underpinnings of gene profiling (equivalence testing,
intersection-union tests) are discussed in this paper, and the gene profiling
methodology is applied to our motivating stem cell experiment.


title: Neutron spin rotation in \vec{n}-d scattering

abstract:
  The neutron spin rotation induced by parity-violating (PV) components in the
nucleon-nucleon potential is studied in \vec{n}-d scattering at zero energy.
Results are obtained corresponding to the Argonne v_{18} two-nucleon and
Urbana-IX three-nucleon strong-interaction potentials in combination with
either the DDH or pionless EFT model for the weak-interaction potential. We
find that this observable is dominated by the contribution of the long-range
part of the PV potential associated with pion exchange. Thus its measurement
could provide a further constraint, complementary to that coming from
measurements of the photon asymmetry in \vec{n}-p radiative capture, on the
strength of this component of the hadronic weak interaction.


title:
Visualization of membrane loss during the shrinkage of giant vesicles
  under electropulsation

abstract:
  We study the effect of permeabilizing electric fields applied to two
different types of giant unilamellar vesicles, the first formed from EggPC
lipids and the second formed from DOPC lipids. Experiments on vesicles of both
lipid types show a decrease in vesicle radius which is interpreted as being due
to lipid loss during the permeabilization process. We show that the decrease in
size can be qualitatively explained as a loss of lipid area which is
proportional to the area of the vesicle which is permeabilized. Three possible
mechanisms responsible for lipid loss were directly observed: pore formation,
vesicle formation and tubule formation.


title:
3D Lyman-alpha radiation transfer. III. Constraints on gas and stellar
  properties of z~3 Lyman break galaxies (LBG) and implications for high-z LBGs
  and Lyman-alpha emitters(LAEs)

abstract:
  The Aim of our study is to understand the variety of observed Lyman-alpha
(Lya) line profiles and strengths in Lyman Break Galaxies (LBGs) and Lya
emitters (LAEs), the physical parameters governing them, and hence deriving
constraints on the gas and dust content and stellar populations of these
objects.
  Using our 3D Lya radiation transfer code including gas and dust (Verhamme et
al. 2006), we fit 11 LBGs from the FORS Deep Field with redshifts between 2.8
and 5 observed by Tapken et al. (2007). A simple geometry of a spherically
expanding shell of HI is adopted.
  RESULTS : The variety of observed Lya profiles is successfully reproduced.
Most objects show outflow velocities of 150-200 km/s; two objects are most
likely quasi-static. The radial HI column density ranges from NH=2.10^{19} to
7.10^{20} cm^{-2}. Our Lya profile fits yield values of E(B-V)~0.05-0.2 for the
gas extinction. We find indications for a dust-to-gas ratio higher than the
Galactic value, and for a substantial scatter. The escape fraction of Lya
photons is found to be determined primarily by the extinction, and a simple fit
formula is proposed. Intrinsic EW(Lya)~50-100 Angstroms are found for 8/11
objects, as expected for stellar populations forming constantly over long
periods (> 10-100 Myr). In three cases we found indications for younger
populations. Correlations between the observed EW(Lya) and other observables
such as FWHM(Lya), E(B-V),SFR(UV) etc, are reproduced. We also show that there
is a clear overlap between LBGs and LAEs. Radiation transfer and dust effects
explain the increase of the LAE/LBG ratio, and a higher percentage of LBGs with
strong Lya emission with increasing redshift. [shortened]


title: Marginal Likelihood Integrals for Mixtures of Independence Models

abstract:
  Inference in Bayesian statistics involves the evaluation of marginal
likelihood integrals. We present algebraic algorithms for computing such
integrals exactly for discrete data of small sample size. Our methods apply to
both uniform priors and Dirichlet priors. The underlying statistical models are
mixtures of independent distributions, or, in geometric language, secant
varieties of Segre-Veronese varieties.


title:
Exploring the disc/jet interaction in the radio-loud quasar 4C +74.26
  with Suzaku

abstract:
  We report on a 90 ks Suzaku observation of the radio-loud quasar 4C +74.26.
The source was observed in its highest flux state to date, and we find that it
brightened by about 20 per cent during the observation. We see evidence of
spectral hardening as the count rate increases and also find that the rms
variability increases with energy up to about 4 keV. We clearly detect a
broadened Fe line but conclude that it does not require any emission from
inside about 50 r_g, although a much smaller inner radius cannot be ruled out.
The large inner radius of our best fit implies that the inner disc is either
missing or not strongly illuminated. We suggest that the latter scenario may
occur if the power-law source is located high above the disc, or if the
emission is beamed away from the disc.


title:
Frustration Induced Quantum Phases in Mixed Spin Chain with Frustrated
  Side Chains

abstract:
  A mixed Heisenberg spin chain with frustrated side chains is investigated by
numerical and perturbational calculations. A frustration-induced quantum
partially polarized ferrimagnetic phase and a nonmagnetic spin quadrupolar
phase are found adjacent to the conventional Lieb-Mattis type ferrimagnetic
phase or the nonmagnetic singlet cluster solid phases. The partially polarized
ferrimagnetic phase has an incommensurate spin structure. Similar structures
are commonly found in other frustration-induced partially polarized
ferrimagnetic phases. Numerical results also suggest a series of almost
critical nonmagnetic ground states in a highly frustrated regime if the side
chain spins weakly couple to the main chain.


title:
Success Exponent of Wiretapper: A Tradeoff between Secrecy and
  Reliability

abstract:
  Equivocation rate has been widely used as an information-theoretic measure of
security after Shannon[10]. It simplifies problems by removing the effect of
atypical behavior from the system. In [9], however, Merhav and Arikan
considered the alternative of using guessing exponent to analyze the Shannon's
cipher system. Because guessing exponent captures the atypical behavior, the
strongest expressible notion of secrecy requires the more stringent condition
that the size of the key, instead of its entropy rate, to be equal to the size
of the message. The relationship between equivocation and guessing exponent are
also investigated in [6][7] but it is unclear which is a better measure, and
whether there is a unifying measure of security.
  Instead of using equivocation rate or guessing exponent, we study the wiretap
channel in [2] using the success exponent, defined as the exponent of a
wiretapper successfully learn the secret after making an exponential number of
guesses to a sequential verifier that gives yes/no answer to each guess. By
extending the coding scheme in [2][5] and the converse proof in [4] with the
new Overlap Lemma 5.2, we obtain a tradeoff between secrecy and reliability
expressed in terms of lower bounds on the error and success exponents of
authorized and respectively unauthorized decoding of the transmitted messages.
  From this, we obtain an inner bound to the region of strongly achievable
public, private and guessing rate triples for which the exponents are strictly
positive. The closure of this region is equivalent to the closure of the region
in Theorem 1 of [2] when we treat equivocation rate as the guessing rate.
However, it is unclear if the inner bound is tight.


title:
Optimal Langevin modelling of out-of-equilibrium molecular dynamics
  simulations

abstract:
  We introduce a scheme for deriving an optimally-parametrised Langevin
dynamics of few collective variables from data generated in molecular dynamics
simulations. The drift and the position-dependent diffusion profiles governing
the Langevin dynamics are expressed as explicit averages over the input
trajectories. The proposed strategy is applicable to cases when the input
trajectories are generated by subjecting the system to a external
time-dependent force (as opposed to canonically-equilibrated trajectories).
Secondly, it provides an explicit control on the statistical uncertainty of the
drift and diffusion profiles. These features lend to the possibility of
designing the external force driving the system so to maximize the accuracy of
the drift and diffusions profile throughout the phase space of interest.
Quantitative criteria are also provided to assess a posteriori the
satisfiability of the requisites for applying the method, namely the Markovian
character of the stochastic dynamics of the collective variables.


title:
Sources of uncertainties in the s-process in massive stars: convection
  and reaction rates

abstract:
  Current models of s-nucleosynthesis in massive stars ($M\sim15 M_{\odot}$ to
$\sim 30 M_{\odot}$) are able to reproduce some main features of the abundance
distributions of heavy isotopes in the solar system, at least in the $A\sim
60-90$ mass range. The efficiency of the process and the above specified mass
range for the s-nuclei are still heavily uncertain due to both nuclear reaction
rates and stellar models uncertainties. A series of s-process simulations with
stellar models in the $15-30 M_{\odot}$ (mass at ZAMS) and metallicity $Z=0.02$
mass have been performed to analyse the impact of the overshooting model used
on the s-process yields. As in a previous exploratory work performed with
stellar models having $M_{ZAMS}=25 M_{\odot}$ and $Z=0.02$, enhancements
factors in the range 2-5 are found in the final s-process efficiency when
overshooting is inserted in the models.


title:
Discoveries of 3 K-shell Lines of Iron and a Coherent Pulsation of
  593-sec from SAX J1748.2-2808

abstract:
  SAX J1748.2$-$2808 is a unique X-ray object with a flat spectrum and strong
emission lines at 6.4--7.0 keV. The Suzaku satellite resolved the emission
lines into 3 K-shell lines from neutral and highly ionized irons. A clear
coherent pulsation with a period of 593-sec was found from the Suzaku and
XMM-Newton archives. These facts favor that SAX J1748.2$-$2808 isan
intermediate polar, a subclass of magnetized white dwarf binary (cataclysmic
variable: CV). This paper reports on details of the findings and discusses the
origin of this source.


title: AC and DC Conductivity Anisotropies in Lightly Doped La(2-x)Sr(x)CuO(4)

abstract:
  The AC and DC conductivity anisotropies in the low temperature orthorhombic
phase of lightly doped La(2-x)Sr(x)CuO(4) are ascribed to the rotational
symmetry broken, localized impurity states resulting from the trapping of doped
holes by Sr ions. The two lowest-energy p-wave-like states are split by
orthorhombicity and partially filled with holes. This leaves a unique imprint
in AC conductivity, which shows two distinct infrared continuum absorption
energies. Furthermore, the existence of two independent channels for hopping
conductivity, associated to the two orthorhombic directions, explains
quantitatively the observed low temperature anisotropies in DC conductivity.


title: Magnetic properties of single atoms of Fe and Co on Ir(111) and Pt(111)

abstract:
  In using the fully relativistic versions of the Embedded Cluster and Screened
Korringa-Kohn-Rostoker methods for semi-infinite systems the magnetic
properties of single adatoms of Fe and Co on Ir(111) and Pt(111) are studied.
It is found that for Pt(111) Fe and Co adatoms are strongly perpendicularly
oriented, while on Ir(111) the orientation of the magnetization is only
out-of-plane for a Co adatom, for an Fe adatom it is in-plane. For comparison
also the so-called band energy parts of the anisotropy energy of a single layer
of Fe and Co on these two substrates are shown. The obtained results are
compared to recent experimental studies using e.g. the spin-polarized STM
technique.


title: Super-AGB stars: evolution and associated nucleosynthesis

abstract:
  Based on evolutionary computations of 90 stellar models, we have analysed the
impact of initial composition and core overshooting on the post-He-burning
evolution and the associated nucleosynthesis of Super-AGB stars, pointing
particular attention on the C-burning phase. Moreover the possible link between
the transition masses $M_{up}$, $M_{N}$ and $M_{mas}$ (defined as the critical
initial mass above which C-burning ignites, the minimum initial mass for an
electron-capture supernova and the minimum initial mass for the completion of
all the nuclear burning phases respectively) and the properties of the core
during the core He-burning phase is also briefly discussed.


title: Fluctuations of Particle Yield Ratios in Heavy-Ion Collisions

abstract:
  We study the dynamical fluctuations of various particle yield ratios at
different incident energies. Assuming that the particle production yields in
the hydronic final state are due to equilibrium chemical processes
($\gamma=1$), the experimental results available so far are compared with the
hadron resonance gas model (HRG) taking into account the limited momentum
acceptance in heavy-ion collisions experiments. Degenerated light and conserved
strange quarks are presumed at all incident energies. At the SPS energies, the
HRG with $\gamma=1$ provides a good description for the measured dynamical
fluctuations in $(K^++K^-)/(\pi^++\pi^-)$. To reproduce the RHIC results,
$\gamma$ should be larger than one. We also studied the dynamical fluctuations
of $(p+\bar{p})/(\pi^++\pi^-)$. It is obvious that the energy-dependence of
these dynamical fluctuations is non-monotonic.