title:
Diversity among other worlds: characterization of exoplanets by direct
  detection

abstract:
  The physical characterization of exoplanets will require to take spectra at
several orbital positions. For that purpose, a direct imaging capability is
necessary. Direct imaging requires an efficient stellar suppression mechanism,
associated with an ultrasmooth telescope. We show that before future large
space missions (interferometer, 4-8 m class coronograph, external occulter or
Fresnel imager), direct imaging of giant planets and close-by super-Earth are
at the cross-road of a high scientific interest and a reasonable feasibility.
The scientific interest lies in the fact that super-Earths share common
geophysical attributes with Earths. They already begin to be detected by radial
velocity (RV) and, together with giant planets, they have a larger area than
Earths, making them detectable with a 1.5-2 m class telescope in reflected
light. We propose such a (space) telescope be a first step before large direct
imaging missions.


title: Computing voting power in easy weighted voting games

abstract:
  Weighted voting games are ubiquitous mathematical models which are used in
economics, political science, neuroscience, threshold logic, reliability theory
and distributed systems. They model situations where agents with variable
voting weight vote in favour of or against a decision. A coalition of agents is
winning if and only if the sum of weights of the coalition exceeds or equals a
specified quota. The Banzhaf index is a measure of voting power of an agent in
a weighted voting game. It depends on the number of coalitions in which the
agent is the difference in the coalition winning or losing. It is well known
that computing Banzhaf indices in a weighted voting game is NP-hard. We give a
comprehensive classification of weighted voting games which can be solved in
polynomial time. Among other results, we provide a polynomial
($O(k{(\frac{n}{k})}^k)$) algorithm to compute the Banzhaf indices in weighted
voting games in which the number of weight values is bounded by $k$.


title:
Dots, clumps and filaments: the intermittent images of synchrotron
  emission in random magnetic fields of young supernova remnants

abstract:
  Non-thermal X-ray emission in some supernova remnants originates from
synchrotron radiation of ultra-relativistic particles in turbulent magnetic
fields. We address the effect of a random magnetic field on synchrotron
emission images and spectra. A random magnetic field is simulated to construct
synchrotron emission maps of a source with a steady distribution of
ultra-relativistic electrons. Non-steady localized structures (dots, clumps and
filaments), in which the magnetic field reaches exceptionally high values,
typically arise in the random field sample. These magnetic field concentrations
dominate the synchrotron emission (integrated along the line of sight) from the
highest energy electrons in the cut-off regime of the distribution, resulting
in an evolving, intermittent, clumpy appearance. The simulated structures
resemble those observed in X-ray images of some young supernova remnants. The
lifetime of X-ray clumps can be short enough to be consistent with that
observed even in the case of a steady particle distribution. The efficiency of
synchrotron radiation from the cut-off regime in the electron spectrum is
strongly enhanced in a turbulent field compared to emission from a uniform
field of the same magnitude.


title:
A mixed problem for a Boussinesq hyperbolic equation with integral
  condition

abstract:
  A hyperbolic problem wich combines a classical(Dirichlet) and a non-local
contraint is considered.The existence and uniqueness of strong solutions are
proved,we use a functionnal analysis method based on a priori estimate and on
the density of the range of the operator generated by the considered problem.


title:
Picosecond laser structuration under high pressures: observation of
  boron nitride nanorods

abstract:
  We report on picosecond UV-laser processing of hexagonal boron nitride (hBN)
at moderately high pressures above 500 bar. The main effect is specific to the
ambient gas and laser pulse duration in the ablation regime: when samples are
irradiated by 5 ps or 0.45 ps laser pulses in nitrogen gas environment,
multiple nucleation of a new crystalline product - BN nanorods - takes place.
This process is triggered on structural defects, which number density strongly
decreases upon recrystallization. Non-linear photon absorption by adsorbed
nitrogen molecules is suggested to mediate the nucleation-growth. High pressure
is responsible for the confinement and strong backscattering of ablation
products. A strong surface structuring also appears at longer 150-ps laser
irradiation in similar experimental conditions. However, the transformed
product in this case is amorphous strongly contaminated by boron suboxides
BxOy.


title: A statistical framework for differential privacy

abstract:
  One goal of statistical privacy research is to construct a data release
mechanism that protects individual privacy while preserving information
content. An example is a {\em random mechanism} that takes an input database
$X$ and outputs a random database $Z$ according to a distribution
$Q_n(\cdot|X)$. {\em Differential privacy} is a particular privacy requirement
developed by computer scientists in which $Q_n(\cdot |X)$ is required to be
insensitive to changes in one data point in $X$. This makes it difficult to
infer from $Z$ whether a given individual is in the original database $X$. We
consider differential privacy from a statistical perspective. We consider
several data release mechanisms that satisfy the differential privacy
requirement. We show that it is useful to compare these schemes by computing
the rate of convergence of distributions and densities constructed from the
released data. We study a general privacy method, called the exponential
mechanism, introduced by McSherry and Talwar (2007). We show that the accuracy
of this method is intimately linked to the rate at which the probability that
the empirical distribution concentrates in a small ball around the true
distribution.


title: Fifteen years of microcavity polaritons

abstract:
  We present an overview of the advances in the physics of polaritons in
semiconductor microcavities, starting from their first discovery in 1992. After
summarizing the research during the early years, when the basic optical
properties were investigated, we describe the important results related to the
phenomenon of parametric polariton scattering, highlighting its link to
non-classical polariton physics. We conclude with a perspective view of the
future research in the domain, focusing on the exciting developments in the
direction of polariton quantum collective phenomena and quantum nanodevices


title:
Modeling of Charge Transfer Inefficiency in a CCD with High Speed Column
  Parallel Readout

abstract:
  Charge Coupled Devices (CCDs) have been successfully used in several high
energy physics experiments over the past two decades. Their high spatial
resolution and thin sensitive layers make them an excellent tool for studying
short-lived particles. The Linear Collider Flavour Identification (LCFI)
collaboration is developing Column-Parallel CCDs (CPCCDs) for the vertex
detector of a future Linear Collider. The CPCCDs can be read out many times
faster than standard CCDs, significantly increasing their operating speed. An
Analytic Model has been developed for the determination of the charge transfer
inefficiency (CTI) of a CPCCD. The CTI values determined with the Analytic
Model agree largely with those from a full TCAD simulation. The Analytic Model
allows efficient study of the variation of the CTI on parameters like readout
frequency, operating temperature and occupancy.


title: The Cauchy problem for a short-wave equation

abstract:
  We prove an existence and uniqueness of solution for the Cauchy problem of
the simplest nonlinear short-wave equation, $u_{tx}=u-3u^{2}$, with periodic
boundary condition.


title:
Mackey-functor structure on the Brauer groups of a finite Galois
  covering of schemes

abstract:
  Past studies of the Brauer group of a scheme tells us the importance of the
interrelationship among Brauer groups of its finite \'etale coverings. In this
paper, we consider these groups simultaneously, and construct an integrated
object "Brauer-Mackey functor".
  We realize this as a {\it cohomological Mackey functor} on the Galois
category of finite \'etale coverings. For any finite \'etale covering of
schemes, we can associate two homomorphisms for Brauer groups, namely the
pull-back and the norm map. These homomorphisms make Brauer groups into a
bivariant functor ($=$ Mackey functor) on the Galois category.
  As a corollary, Restricting to a finite Galois covering of schemes, we obtain
a cohomological Mackey functor on its Galois group. This is a generalization of
the result for rings by Ford. Moreover, applying Bley and Boltje's theorem, we
can derive certain isomorphisms for the Brauer groups of intermediate
coverings.


title:
Lithium abundances of halo dwarfs based on excitation temperature. I.
  LTE

abstract:
  The discovery of the Spite plateau in the abundances of 7Li for metal-poor
stars led to the determination of an observationally deduced primordial lithium
abundance. However, after the success of the Wilkinson Microwave Anisotropy
Probe (WMAP) in determining the baryon density, OmegaBh^2, there was a
discrepancy between observationally determined and theoretically determined
abundances in the case of 7Li. One of the most important uncertain factors in
the calculation of the stellar 7Li abundance is the effective temperature,
Teff. We use sixteen metal-poor halo dwarfs to calculate new Teff values using
the excitation energy method. With this temperature scale we then calculate new
Li abundances for this group of stars in an attempt to resolve the 7Li
discrepancy. Using high signal-to-noise (S/N ~ 100) spectra of 16 metal-poor
halo dwarfs, obtained with the UCLES spectrograph on the AAT, measurements of
equivalent widths from a set of unblended FeI lines are made. These equivalent
widths are then used to calculate new Teff values with the use of the single
line radiative transfer program WIDTH6, where we have constrained the gravity
using either theoretical isochrones or the Hipparcos parallax, rather than the
ionization balance. The lithium abundances of the stars are calculated with
these temperatures. The physical parameters are derived for the 16 programme
stars, and two standards. These include Teff, log g, [Fe/H], microturbulence
and 7Li abundances. A comparison between the temperature scale of this work and
those adopted by others has been undertaken. We find good consistency with the
temperatures derived from the Halpha line by Asplund et al. (2006), but not
with the hotter scale of Melendez & Ramirez (2004).


title: Cohomology of Substitution Tiling Spaces

abstract:
  Anderson and Putnam showed that the cohomology of a substitution tiling space
may be computed by collaring tiles to obtain a substitution which "forces its
border." One can then represent the tiling space as an inverse limit of an
inflation and substitution map on a cellular complex formed from the collared
tiles; the cohomology of the tiling space is computed as the direct limit of
the homomorphism induced by inflation and substitution on the cohomology of the
complex. In earlier work, Barge and Diamond described a modification of the
Anderson-Putnam complex on collared tiles for one-dimensional substitution
tiling spaces that allows for easier computation and provides a means of
identifying certain special features of the tiling space with particular
elements of the cohomology. In this paper, we extend this modified construction
to higher dimensions. We also examine the action of the rotation group on
cohomology and compute the cohomology of the pinwheel tiling space.


title: Brown Dwarfs as Galactic Chronometers

abstract:
  Brown dwarfs are natural clocks, cooling and dimming over time due to
insufficient core fusion. They are also numerous and present in nearly all
Galactic environments, making them potentially useful chronometers for a
variety of Galactic studies. For this potential to be realized, however,
precise and accurate ages for individual sources are required, a prospect made
difficult by the complex atmospheres and spectra of low-temperature brown
dwarfs; degeneracy between mass, age and luminosity; and the lack of useful age
trends in magnetic activity and rotation. In this contribution, I review five
ways in which ages for brown dwarfs are uniquely determined, discuss their
applicability and limitations, and give current empirical precisions.


title:
Analysis of Biomedical Signals by Flicker-Noise Spectroscopy:
  Identification of Photosensitive Epilepsy using Magnetoencephalograms

abstract:
  The flicker-noise spectroscopy (FNS) approach is used to determine the
dynamic characteristics of neuromagnetic responses by analyzing the
magnetoencephalographic (MEG) signals recorded as the response of a group of
control human subjects and a patient with photosensitive epilepsy (PSE) to
equiluminant flickering stimuli of different color combinations. Parameters
characterizing the analyzed stochastic biomedical signals for different
frequency bands are identified. It is shown that the classification of the
parameters of analyzed MEG responses with respect to different frequency bands
makes it possible to separate the contribution of the chaotic component from
the overall complex dynamics of the signals. It is demonstrated that the
chaotic component can be adequately described by the anomalous diffusion
approximation in the case of control subjects. On the other hand, the chaotic
component for the patient is characterized by a large number of high-frequency
resonances. This implies that healthy organisms can suppress the perturbations
brought about by the flickering stimuli and reorganize themselves. The
organisms affected by photosensitive epilepsy no longer have this ability. This
result also gives a way to simulate the separate stages of the brain cortex
activity in vivo. The examples illustrating the use of the "FNS device" for
identifying even the slightest individual differences in the activity of human
brains using their responses to external standard stimuli show a unique
possibility to develop the "individual medicine" of the future.


title: Geometry and Symmetry Structures in 2T Gravity

abstract:
  2T-gravity in d+2 dimensions predicts 1T General Relativity (GR) in d
dimensions, augmented with a local scale symmetry known as the Weyl symmetry in
1T field theory. The emerging GR comes with a number of constraints,
particularly on scalar fields and their interactions in 1T field theory. These
constraints, detailed in this paper, are footprints of 2T-gravity and could be
a basis for testing 2T-physics. Some of the conceptually interesting
consequences of the "accidental" Weyl symmetry include that the gravitational
constant emerges from vacuum values of the dilaton and other Higgs-type scalars
and that it changes after every cosmic phase transition (inflation, grand
unification, electroweak phase transition, etc.). We show that this
consequential Weyl symmetry in d dimensions originates from coordinate
reparametrization, not from scale transformations, in the d+2 spacetime of
2T-gravity. To recognize this structure we develop in detail the geometrical
structures, curvatures, symmetries, etc. of the d+2 spacetime which is
restricted by a homothety condition derived from the action of 2T-gravity.
Observers that live in d dimensions perceive GR and all degrees of freedom as
shadows of their counterparts in d+2 dimensions. Kaluza-Klein (KK) type modes
are removed by gauge symmetries and constraints that follow from the 2T-gravity
action. However some analogs to KK modes, which we call "prolongations" of the
shadows into the higher dimensions, remain but they are completely determined,
up to gauge freedom, by the shadows in d dimensions.


title:
Theory of Inelastic Electron Tunneling from a Localized Spin in the
  Impulsive Approximation

abstract:
  A simple expression for the conductance steps in the inelastic electron
tunneling from spin excitations in a single magnetic atom adsorbed on a
non-magnetic metal surfaces is derived. The inelastic coupling between the
tunneling electron and the spin is via the exchange coupling and is treated in
an impulsive approximation using the Tersoff-Hamann approximation for the
tunneling between the tip and the sample. Our results for conductance steps
justify the analysis carried out by Hirjebedin et al. [Science 317, 1199
(2007)] of observed step-like conductances by inelastic electron tunneling from
spin excitations in a single magnetic adatom using a simple spin matrix
element. In addition, our result gives a simple expression for the magnitudes
of conductance steps and their lateral spatial variation with respect to the
tip position, which can be calculated directly from spin-polarized wave
functions at the Fermi level of the sample.


title:
Inclusive Search for Squark and Gluino Production in ppbar Collisions at
  sqrt{s} = 1.96 TeV

abstract:
  We report on a search for inclusive production of squarks and gluinos in
ppbar collisions at sqrt{s}=1.96 TeV, in events with large missing transverse
energy and multiple jets of hadrons in the final state. The study uses a CDF
Run II data sample corresponding to 2 fb-1 of integrated luminosity. The data
are in good agreement with the standard model predictions, giving no evidence
for any squark or gluino component. In an R-parity conserving minimal
supergravity scenario with A_0 = 0, mu < 0 and tanbeta = 5, 95% C.L. upper
limits on the production cross sections in the range between 0.1 pb and 1 pb
are obtained, depending on the squark and gluino masses considered. For gluino
masses below 280 GeV/c2, arbitrarily large squark masses are excluded at the
95%C.L., while for mass degenerate gluinos and squarks, masses below 392 GeV/c2
are excluded at the 95% C.L.


title:
Impedance matching and emission properties of optical antennas in a
  nanophotonic circuit

abstract:
  An experimentally realizable prototype nanophotonic circuit consisting of a
receiving and an emitting nano antenna connected by a two-wire optical
transmission line is studied using finite-difference time- and frequency-domain
simulations. To optimize the coupling between nanophotonic circuit elements we
apply impedance matching concepts in analogy to radio frequency technology. We
show that the degree of impedance matching, and in particular the impedance of
the transmitting nano antenna, can be inferred from the experimentally
accessible standing wave pattern on the transmission line. We demonstrate the
possibility of matching the nano antenna impedance to the transmission line
characteristic impedance by variations of the antenna length and width
realizable by modern microfabrication techniques. The radiation efficiency of
the transmitting antenna also depends on its geometry but is independent of the
degree of impedance matching. Our systems approach to nanophotonics provides
the basis for realizing general nanophotonic circuits and a large variety of
derived novel devices.


title: Algebro-geometric Feynman rules

abstract:
  We give a general procedure to construct algebro-geometric Feynman rules,
that is, characters of the Connes-Kreimer Hopf algebra of Feynman graphs that
factor through a Grothendieck ring of immersed conical varieties, via the class
of the complement of the affine graph hypersurface. In particular, this maps to
the usual Grothendieck ring of varieties, defining motivic Feynman rules. We
also construct an algebro-geometric Feynman rule with values in a polynomial
ring, which does not factor through the usual Grothendieck ring, and which is
defined in terms of characteristic classes of singular varieties. This
invariant recovers, as a special value, the Euler characteristic of the
projective graph hypersurface complement. The main result underlying the
construction of this invariant is a formula for the characteristic classes of
the join of two projective varieties. We discuss the BPHZ renormalization
procedure in this algebro-geometric context and some motivic zeta functions
arising from the partition functions associated to motivic Feynman rules.


title: Pentacene islands grown on ultra-thin SiO2

abstract:
  Ultra-thin oxide (UTO) films were grown on Si(111) in ultrahigh vacuum at
room temperature and characterized by scanning tunneling microscopy. The
ultra-thin oxide films were then used as substrates for room temperature growth
of pentacene. The apparent height of the first layer is 1.57 +/- 0.05 nm,
indicating standing up pentacene grains in the thin-film phase were formed.
Pentacene is molecularly resolved in the second and subsequent molecular
layers. The measured in-plane unit cell for the pentacene (001) plane (ab
plane) is a=0.76+/-0.01 nm, b=0.59+/-0.01 nm, and gamma=87.5+/-0.4 degrees. The
films are unperturbed by the UTO's short-range spatial variation in tunneling
probability, and reduce its corresponding effective roughness and correlation
exponent with increasing thickness. The pentacene surface morphology follows
that of the UTO substrate, preserving step structure, the long range surface
rms roughness of ~0.1 nm, and the structural correlation exponent of ~1.


title: Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures

abstract:
  The role of operational quantum mechanics, quantum axiomatics and quantum
structures in general is presented as a contribution to a compendium on quantum
physics, its history and philosophy.


title: Some consequences of the Karpenko-Merkurjev theorem

abstract:
  We use a recent theorem of N. A. Karpenko and A. S. Merkurjev to settle
several questions in the theory of essential dimension.


title: Gaussian Belief Propagation: Theory and Aplication

abstract:
  The canonical problem of solving a system of linear equations arises in
numerous contexts in information theory, communication theory, and related
fields. In this contribution, we develop a solution based upon Gaussian belief
propagation (GaBP) that does not involve direct matrix inversion. The iterative
nature of our approach allows for a distributed message-passing implementation
of the solution algorithm. In the first part of this thesis, we address the
properties of the GaBP solver. We characterize the rate of convergence, enhance
its message-passing efficiency by introducing a broadcast version, discuss its
relation to classical solution methods including numerical examples. We present
a new method for forcing the GaBP algorithm to converge to the correct solution
for arbitrary column dependent matrices.
  In the second part we give five applications to illustrate the applicability
of the GaBP algorithm to very large computer networks: Peer-to-Peer rating,
linear detection, distributed computation of support vector regression,
efficient computation of Kalman filter and distributed linear programming.
Using extensive simulations on up to 1,024 CPUs in parallel using IBM Bluegene
supercomputer we demonstrate the attractiveness and applicability of the GaBP
algorithm, using real network topologies with up to millions of nodes and
hundreds of millions of communication links. We further relate to several other
algorithms and explore their connection to the GaBP algorithm.


title:
Origins of Modern Data Analysis Linked to the Beginnings and Early
  Development of Computer Science and Information Engineering

abstract:
  The history of data analysis that is addressed here is underpinned by two
themes, -- those of tabular data analysis, and the analysis of collected
heterogeneous data. "Exploratory data analysis" is taken as the heuristic
approach that begins with data and information and seeks underlying explanation
for what is observed or measured. I also cover some of the evolving context of
research and applications, including scholarly publishing, technology transfer
and the economic relationship of the university to society.


title: AURA - A radio frequency extension to IceCube

abstract:
  The excellent radio frequency transparency of cold polar ice, combined with
the coherent Cherenkov emission produced by neutrino-induced showers when
viewed at wavelengths longer than a few centimeters, has spurred considerable
interest in a large-scale radio-wave neutrino detector array.
  The AURA (Askaryan Under-ice Radio Array) experimental effort, within the
IceCube collaboration, seeks to take advantage of the opportunity presented by
IceCube drilling through 2010 to establish the radio frequency technology
needed to achieve 100-1000 km^3 effective volumes.
  In the 2006-2007 Austral summer 3 deep in-ice radio frequency (RF) clusters
were deployed at depths of 1300m and 300m on top of the IceCube strings.
Additional 3 clusters will be deployed in the Austral summer of 2008-2009.
Verification and calibration results from the current deployed clusters are
presented, and the detector design and performances are discussed. Augmentation
of IceCube with large-scale 1000km^3sr radio and acoustic arrays would extend
the physics reach of IceCube into the EeV-ZeV regime and offer substantial
technological redundancy.


title: Conformal Deformation on Manifolds with Boundary

abstract:
  We consider natural conformal invariants arising from the Gauss-Bonnet
formulas on manifolds with boundary, and study conformal deformation problems
associated to them. The key technique we used is to derive boundary C^2
estimates directly from C^0 estimates for fully nonlinear equations. The main
result has appeared in the author's thesis.


title: On the classification of toric singularities

abstract:
  For a toric log variety with standard coefficients, we show that the minimal
log discrepancy at a closed invariant point bounds the Cartier index of a
neighbourhood.


title:
Renormalized behavior and proximity to a magnetic quantum critical point
  in BaCo$_2$As$_2$

abstract:
  We report synthesis and single crystal measurements of magnetic, transport
and thermal properties of single crystalline BaCo$_2$As$_2$ as well as first
principles calculations of the electronic structure and magnetic behavior.
These results show that BaCo$_2$As$_2$ is a highly renormalized paramagnet in
proximity to a quantum critical point, presumably of ferromagnetic character
and that BaFeNiAs$_2$ behaves similarly. These results are discussed in
relation to the properties of Ba(Fe,Co)$_2$As$_2$ and Ba(Fe,Ni)$_2$As$_2$,
which are superconducting for low Co and Ni concentrations.


title: Geometric description of BTZ black holes thermodynamics

abstract:
  We study the properties of the space of thermodynamic equilibrium states of
the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole in (2+1)-gravity. We use the
formalism of geometrothermodynamics to introduce in the space of equilibrium
states a $2-$dimensional thermodynamic metric whose curvature is non-vanishing,
indicating the presence of thermodynamic interaction, and free of
singularities, indicating the absence of phase transitions. Similar results are
obtained for generalizations of the BTZ black hole which include a Chern-Simons
term and a dilatonic field. Small logarithmic corrections of the entropy turn
out to be represented by small corrections of the thermodynamic curvature,
reinforcing the idea that thermodynamic curvature is a measure of thermodynamic
interaction.


title:
Amendment to "Performance Analysis of the V-BLAST Algorithm: An
  Analytical Approach." [1]

abstract:
  An analytical technique for the outage and BER analysis of the nx2 V-BLAST
algorithm with the optimal ordering has been presented in [1], including
closed-form exact expressions for average BER and outage probabilities, and
simple high-SNR approximations. The analysis in [1] is based on the following
essential approximations: 1. The SNR was defined in terms of total
after-projection signal and noise powers, and the BER was analyzed based on
their ratio. This corresponds to a non-coherent (power-wise) equal-gain
combining of both the signal and the noise, and it is not optimum since it does
not provide the maximum output SNR. 2. The definition of the total
after-projection noise power at each step ignored the fact that the
after-projection noise vector had correlated components. 3. The after-combining
noises at different steps (and hence the errors) were implicitly assumed to be
independent of each other. Under non-coherent equal-gain combining, that is not
the case. It turns out that the results in [1] hold also true without these
approximations, subject to minor modifications only. The purpose of this note
is to show this and also to extend the average BER results in [1] to the case
of BPSK-modulated V-BLAST with more than two Rx antennas (eq. 18-20).
Additionally, we emphasize that the block error rate is dominated by the first
step BER at the high-SNR mode (eq. 14 and 21).


title: Representation of State Property Systems

abstract:
  A 'state property system' is the mathematical structure which models an
arbitrary physical system by means of its set of states, its set of properties,
and a relation of 'actuality of a certain property for a certain state'. We
work out a new axiomatization for standard quantum mechanics, starting with the
basic notion of state property system, and making use of a generalization of
the standard quantum mechanical notion of 'superposition' for state property
systems.


title:
Non-adiabacity and large flucutations in a many particle Landau Zener
  problem

abstract:
  We consider the behavior of an interacting many particle system under slow
external driving -- a many body generalization of the Landau-Zener paradigm. We
find that a conspiracy of interactions and driving leads to physics profoundly
different from that of the single particle limit: for practically all values of
the driving rate the particle distributions in Hilbert space are very broad, a
phenomenon caused by a strong amplification of quantum fluctuations in the
driving process. These fluctuations are 'non-adiabatic' in that even at very
slow driving it is exceedingly difficult to push the center of the distribution
towards the limit of full ground state occupancy. We obtain these results by a
number of complementary theoretical approaches, including diagrammatic
perturbation theory, semiclassical analysis, and exact diagonalization.


title: Quantum restrictions on transfer of matrix elements

abstract:
  We discuss restrictions imposed by quantum mechanics on the process of matrix
elements transfer from the one system to another. This is relevant for various
processes of partial state transfer (quantum communication, indirect
measurement, polarization transfer, {\it etc}). Given two systems A and B with
initial density operators $\lambda$ and $r$, respectively, we consider most
general interactions, which lead to transferring certain matrix elements of
unknown $\lambda$ into those of the final state ${\widetilde r}$ of B. We find
that this process leads to eliminating the memory on the transferred (or
certain other) matrix elements from the final state of A. If one diagonal
matrix element is transferred: ${\widetilde r}_{aa}=\lambda_{aa}$, the memory
on each non-diagonal element $\lambda_{a\not=b}$ is completely eliminated from
the final density operator of A. The transfer of a non-diagonal element:
${\widetilde r}_{ab}=\lambda_{ab}$ eliminates the memory on the diagonal
elements $\lambda_{aa}$ and $\lambda_{bb}$, while the memory about their sum
$\lambda_{aa}+\lambda_{bb}$ is kept. Moreover, the memory about $\lambda_{ab}$
itself is completely eliminated from the final state of A. Generalization of
these set-ups to non-ideal transfer brings in a trade-off between the quality
of the transfer and the amount of preserved memory. This trade-off is expressed
via system-independent uncertainty relations.


title: Mass and Machian General Relativity

abstract:
  Mach's Principle is usually taken to mean that the mass of a particle as
measured locally is determined in some way by the other matter in the universe.
This is difficult to formalize in 4D,but is feasible in 5D if the scalar
potential of non-compactified Kaluza-Klein theory is interpreted as an inertial
field. We therefore review 5D space-time-matter theory, but take the local
particle mass to be defined by the integral of a global scalar field. This
approach smoothly embeds general relativity, and leads to several new effects
which can be tested.


title:
Multi-Particle Anderson Localisation: Induction on the Number of
  Particles

abstract:
  This paper is a follow-up of our recent papers \cite{CS08} and \cite{CS09}
covering the two-particle Anderson model. Here we establish the phenomenon of
Anderson localisation for a quantum $N$-particle system on a lattice $\Z^d$
with short-range interaction and in presence of an IID external potential with
sufficiently regular marginal cumulative distribution function (CDF). Our main
method is an adaptation of the multi-scale analysis (MSA; cf. \cite{FS},
\cite{FMSS}, \cite{DK}) to multi-particle systems, in combination with an
induction on the number of particles, as was proposed in our earlier manuscript
\cite{CS07}. Similar results have been recently obtained in an independent work
by Aizenman and Warzel \cite{AW08}: they proposed an extension of the
Fractional-Moment Method (FMM) developed earlier for single-particle models in
\cite{AM93} and \cite{ASFH01} (see also references therein) which is also
combined with an induction on the number of particles.
  An important role in our proof is played by a variant of Stollmann's
eigenvalue concentration bound (cf. \cite{St00}). This result, as was proved
earlier in \cite{C08}, admits a straightforward extension covering the case of
multi-particle systems with correlated external random potentials: a subject of
our future work. We also stress that the scheme of our proof is \textit{not}
specific to lattice systems, since our main method, the MSA, admits a
continuous version. A proof of multi-particle Anderson localization in
continuous interacting systems with various types of external random potentials
will be published in a separate papers.


title: Thermodynamics of adiabatic feedback control

abstract:
  We study adaptive control of classical ergodic Hamiltonian systems, where the
controlling parameter varies slowly in time and is influenced by system's state
(feedback). An effective adiabatic description is obtained for slow variables
of the system. A general limit on the feedback induced negative entropy
production is uncovered. It relates the quickest negentropy production to
fluctuations of the control Hamiltonian. The method deals efficiently with the
entropy-information trade off.


title:
Arecibo Pulsar Survey Using ALFA: Probing Radio Pulsar Intermittency and
  Transients

abstract:
  We present radio transient search algorithms, results, and statistics from
the ongoing Arecibo Pulsar ALFA (PALFA) Survey of the Galactic plane. We have
discovered seven objects by detecting isolated dispersed pulses and one of the
new discoveries has a duty cycle of 0.01%, the smallest known. The impact of
selection effects on the detectability and classification of intermittent
sources is discussed, and the relative efficiencies of periodicity vs. single
pulse searches are compared for various pulsar classes. We find that
scintillation, off-axis detection and few rotation periods within an
observation may misrepresent normal periodic pulsars as intermittent sources.
Finally, we derive constraints on transient pulse rate and flux density from
the PALFA survey parameters and results.


title:
The Cepheid Period-Luminosity Relation at Mid-Infrared Wavelengths: II.
  Second-Epoch LMC Data

abstract:
  We present revised and improved mid-infrared Period-Luminosity (PL) relations
for Large Magellanic Cloud (LMC) Cepheids based on double-epoch data of 70
Cepheids observed by Spitzer at 3.6, 4.5, 5.8 and 8.0um. The observed scatter
at all wavelengths is found to decrease from +/-0.17 mag to +/-0.14 mag, which
is fully consistent with the prediction that the total scatter is made up of
roughly equal contributions from random sampling of the light curve and
nearly-uniform samplings of stars across the instability strip. It is
calculated that the Cepheids in this sample have a full amplitude of about 0.4
mag and that their fully-sampled, time-averaged magnitudes should eventually
reveal mid-infrared PL relations that each have intrinsic scatter at most at
the +/-0.12 mag level, and as low as +/-0.08 mag after correcting for the tilt
of the LMC.


title: Tuned Finite-Difference Diffusion Operators

abstract:
  Finite-difference simulations of fluid dynamics and magnetohydrodynamics
generally require an explicit diffusion operator, either to maintain stability
by attenuating grid-scale structure, or to implement physical diffusivities
such as viscosity or resistivity. If the goal is stability only, the diffusion
must act at the grid scale, but should affect structure at larger scales as
little as possible. For physical diffusivities the diffusion scale depends on
the problem, and diffusion may act at larger scales as well. Diffusivity
undesirably limits the computational timestep in both cases. We construct tuned
finite-difference diffusion operators that minimally limit the timestep while
acting as desired near the diffusion scale. Such operators reach peak values at
the diffusion scale rather than at the grid scale, but behave as standard
operators at larger scales. We focus on the specific applications of
hyperdiffusivity for numerical stabilization, and high Schmidt and high Prandtl
number simulations where the diffusion scale greatly exceeds the grid scale.


title:
A Transformation--Based Approach for the Design of Parallel/Distributed
  Scientific Software: the FFT

abstract:
  We describe a methodology for designing efficient parallel and distributed
scientific software. This methodology utilizes sequences of mechanizable
algebra--based optimizing transformations. In this study, we apply our
methodology to the FFT, starting from a high--level algebraic algorithm
description. Abstract multiprocessor plans are developed and refined to specify
which computations are to be done by each processor. Templates are then created
that specify the locations of computations and data on the processors, as well
as data flow among processors. Templates are developed in both the MPI and
OpenMP programming styles.
  Preliminary experiments comparing code constructed using our methodology with
code from several standard scientific libraries show that our code is often
competitive and sometimes performs better. Interestingly, our code handled a
larger range of problem sizes on one target architecture.


title: Waves and Solitons in the Calogero Model - Revisited

abstract:
  The Calogero model bears, in the continuum limit, collective excitations in
the form of density waves and solitary modulations of the density of particles.
This sector of the spectrum of the model was investigated, mostly within the
framework of collective field theory, by several authors, over the past fifteen
years or so. In this work we shall concentrate on periodic solutions of the
collective BPS-equation (also known as "finite amplitude density waves"), as
well as on periodic solutions of the full static variational equations which
vanish periodically (also known as "large amplitude density waves"). While
these solutions are not new, we feel that our analysis and presentation add to
the existing literature, as we explain in the text. In addition, we show that
these solutions also occur in a certain two-family generalization of the
Calogero model, at special points in parameter space. A compendium of useful
identities associated with Hilbert transforms, including our own proofs of
these identities, appears in Appendix A. In Appendix B we also elucidate in the
present paper some fine points having to do with manipulating Hilbert
transforms, which appear ubiquitously in the collective field formalism.
Finally, in order to make this paper self-contained, we briefly summarize in
Appendix C basic facts about the collective field formulation of the Calogero
model.


title:
Probing non-universal gaugino masses via Higgs boson production under
  SUSY cascades at the LHC: A detailed study

abstract:
  Cascade decays of Supersymmetric (SUSY) particles are likely to be prolific
sources of Higgs bosons at the Large Hadron Collider (LHC). In this work, we
explore, with the help of detailed simulation, the role of non-universal
gaugino masses in the production of the Higgs bosons under SUSY cascades. The
analysis is carried out by choosing an appropriate set of benchmark points with
non-universal gaugino masses in the relevant SUSY parameter space and then
contrasting the resulting observations with the corresponding cases having
universal relationship among the same. It is shown that even of data at an
early phase of the LHC-run with 10 fb$^{-1}$ one would be able to see, under
favourable situations, the imprint of non-universal gaugino masses by
reconstructing various Higgs boson resonances and comparing their rates. With
increased accumulated luminosities, the indications would naturally become
distinct over a larger region of the parameter space.


title:
Nonlinear phase mixing and phase-space cascade of entropy in gyrokinetic
  plasma turbulence

abstract:
  Electrostatic turbulence in weakly collisional, magnetized plasma can be
interpreted as a cascade of entropy in phase space, which is proposed as a
universal mechanism for dissipation of energy in magnetized plasma turbulence.
When the nonlinear decorrelation time at the scale of the thermal Larmor radius
is shorter than the collision time, a broad spectrum of fluctuations at
sub-Larmor scales is numerically found in velocity and position space, with
theoretically predicted scalings. The results are important because they
identify what is probably a universal Kolmogorov-like regime for kinetic
turbulence; and because any physical process that produces fluctuations of the
gyrophase-independent part of the distribution function may, via the entropy
cascade, result in turbulent heating at a rate that increases with the
fluctuation amplitude, but is independent of the collision frequency.


title: R-parity violating U(1)'-extended supersymmetric standard model

abstract:
  Supersymmetry is one of the best motivated new physics scenarios. To build a
realistic supersymmetric standard model, however, a companion symmetry is
necessary to address various issues. While R-parity is a popular candidate that
can address the proton and dark matter issues simultaneously, it is not the
only option for such a property. We review how a TeV scale U(1)' gauge symmetry
can replace the R-parity. Discrete symmetries of the U(1)' can make the model
still viable and attractive with distinguishable phenomenology. For instance,
with a residual discrete symmetry of the U(1)', Z6 = B3 x U2, the proton can be
protected by the baryon triality (B3) and a hidden sector dark matter candidate
can be protected by the U-parity (U2).


title: Hybrid Goldstone modes in multiferroics

abstract:
  By using polarized inelastic neutron scattering measurements, we show that
the spin-lattice quantum entanglement in mutliferroics results in hybrid
elementary excitations, involving spin and lattice degrees of freedom. These
excitations can be considered as multiferroic Godstone modes. We argue that the
Dzyaloshinskii-Moriya interaction could be at the origin of this hybridization.


title: Yet another solution to the Burnside problem for matrix semigroups

abstract:
  We use the kernel category to give a finiteness condition for semigroups. As
a consequence we provide yet another proof that finitely generated periodic
semigroups of matrices are finite.


title: On a result of Gelfand, Kapranov, and Zelevinsky

abstract:
  In this paper I give new elementary proofs of basic results of Gelfand,
Kapranov and Zelevinskywhich express discriminants and resultants in terms of
determinants of direct images of Cayley-Koszul complexes of sheaves.


title: A Non-Renormalized Field Theoretic Treatment of Photon Scattering

abstract:
  In this paper we have presented a generalized treatment of a photon
scattering by a harmonic oscillator initially at ground state. We have
predicted the scattering cross-section of the oscillator and showed how the
treatment invariably requires the formalisms of renormalization. As a special
case of our treatment, we discussed about Rayleigh and Thomson Scattering and
computed the total cross-section in order to be consistent with experimental
results. Two approximations are adopted in order to simplify the problem but
without any digression from our goal. A second order perturbation theory is
employed where the first excited state of the harmonic oscillator is considered
to be the only intermediate state and A dipole approximation is utilized.
Throughout this paper we have used Gaussian units.


title: Projective duality and K-energy asymptotics

abstract:
  Let X be a smooth, linearly normal n dimensional complex projective variety.
Assume that the projective dual of X has codimension one with defining
polynomial D(X). In this paper the log of the norm of
  D(X) is expressed as the restriction to the Bergman metrics of an energy
functional on X. We show how, for smooth plane curves, this energy functional
reduces to the standard action functionals of Kahler geometry.


title: Expanding Measures

abstract:
  We prove that any C^{1+} transformation, possibly with a (non-flat) critical
or singular region, admits an invariant probability measure absolutely
continuous with respect to any expanding measure whose Jacobian satisfies a
mild distortion condition. This is an extension to arbitrary dimension of a
famous theorem of Keller for maps of the interval with negative Schwarzian
derivative.
  We also show how to construct an induced Markov map F such that every
expanding probability of the initial transformation lifts to an invariant
probability of F. The induced time is bounded at each point by the
corresponding first hyperbolic time (the first time the dynamics exhibits
hyperbolic behavior). In particular, F may be used to study decay of
correlations and others statistical properties of the initial map, relative to
any expanding probability.


title: Phase transition for Local Search on planted SAT

abstract:
  The Local Search algorithm (or Hill Climbing, or Iterative Improvement) is
one of the simplest heuristics to solve the Satisfiability and
Max-Satisfiability problems. It is a part of many satisfiability and
max-satisfiability solvers, where it is used to find a good starting point for
a more sophisticated heuristics, and to improve a candidate solution. In this
paper we give an analysis of Local Search on random planted 3-CNF formulas. We
show that if there is k<7/6 such that the clause-to-variable ratio is less than
k ln(n) (n is the number of variables in a CNF) then Local Search whp does not
find a satisfying assignment, and if there is k>7/6 such that the
clause-to-variable ratio is greater than k ln(n)$ then the local search whp
finds a satisfying assignment. As a byproduct we also show that for any
constant r there is g such that Local Search applied to a random (not
necessarily planted) 3-CNF with clause-to-variable ratio r produces an
assignment that satisfies at least gn clauses less than the maximal number of
satisfiable clauses.


title:
The Yang-Mills String as the A-Model on the Twistor Space of the Complex
  Two-Dimensional Projective Space with Fluxes and Wilson Loops: the Beta
  Function

abstract:
  We argue that the string theory dual to a certain sector of the
four-dimensional Yang-Mills theory at large-N is the A-model wrapping
N-Lagrangian D-branes on the twistor space of the complex two-dimensional
projective space, with certain fluxes and Wilson loops, by finding that the
target-space beta function of this A-model coincides with the large-N beta
function of the Yang-Mills theory


title:
Hyperdiscriminant polytopes, Chow polytopes, and Mabuchi energy
  asymptotics

abstract:
  Let X be a smooth, linearly normal algebraic variety. It is shown that the
Mabuchi energy of X restricted to the Bergman metrics is completely determined
by the X-hyperdiscriminant of format (n-1) and the Chow form of X. As a
corollary it is shown that the Mabuchi energy is bounded from below for all
degenerations in G if and only if the hyperdiscriminant polytope dominates the
Chow polytope for all maximal algebraic tori H of G .


title: Superconductivity and single crystal growth of Ni0:05TaS2

abstract:
  Superconductivity was discovered in a Ni0:05TaS2 single crystal. A Ni0:05TaS2
single crystal was successfully grown via the NaCl/KCl flux method. The
obtained lattice constant c of Ni0:05TaS2 is 1.1999 nm, which is significantly
smaller than that of 2H-TaS2 (1.208 nm). Electrical resistivity and
magnetization measurements reveal that the superconductivity transition
temperature of Ni0:05TaS2 is enhanced from 0.8 K (2H-TaS2) to 3.9 K. The
charge-density-wave transition of the matrix compound 2H-TaS2 is suppressed in
Ni0:05TaS2. The success of Ni0:05TaS2 single crystal growth via a NaCl/KCl flux
demonstrates that NaCl/KCl flux method will be a feasible method for single
crystal growth of the layered transition metal dichalcogenides.


abstract:
  The rotation rate of the solar radiative zone is an important diagnostic for
angular-momentum transport in the tachocline and below. In this paper we study
the contribution of viscous and magnetic stresses to the global
angular-momentum balance. By considering a simple linearized toy model, we
discuss the effects of field geometry and applied boundary conditions on the
predicted rotation profile and rotation rate of the radiative interior. We
compare these analytical predictions with fully nonlinear simulations of the
dynamics of the radiative interior, as well as with observations. We discuss
the implications of these results as constraints on models of the solar
interior.


title: Modeling Cultural Dynamics

abstract:
  EVOC (for EVOlution of Culture) is a computer model of culture that enables
us to investigate how various factors such as barriers to cultural diffusion,
the presence and choice of leaders, or changes in the ratio of innovation to
imitation affect the diversity and effectiveness of ideas. It consists of
neural network based agents that invent ideas for actions, and imitate
neighbors' actions. The model is based on a theory of culture according to
which what evolves through culture is not memes or artifacts, but the internal
models of the world that give rise to them, and they evolve not through a
Darwinian process of competitive exclusion but a Lamarckian process involving
exchange of innovation protocols. EVOC shows an increase in mean fitness of
actions over time, and an increase and then decrease in the diversity of
actions. Diversity of actions is positively correlated with population size and
density, and with barriers between populations. Slowly eroding borders increase
fitness without sacrificing diversity by fostering specialization followed by
sharing of fit actions. Introducing a leader that broadcasts its actions
throughout the population increases the fitness of actions but reduces
diversity of actions. Increasing the number of leaders reduces this effect.
Efforts are underway to simulate the conditions under which an agent
immigrating from one culture to another contributes new ideas while still
fitting in.


title: On Camassa-Holm equation with self-consistent sources and its solutions

abstract:
  Regarded as the integrable generalization of Camassa-Holm (CH) equation, the
CH equation with self-consistent sources (CHESCS) is derived. The Lax
representation of the CHESCS is presented. The conservation laws for CHESCS are
constructed. The peakon solution, N-soliton, N-cuspon, N-positon and N-negaton
solutions of CHESCS are obtained by using Darboux transformation and the method
of variation of constants.


title: A spectroscopic study of the blue stragglers in M67

abstract:
  Based on spectrophotometric observations from the Guillermo Haro Observatory
(Cananea, Mexico), a study of the spectral properties of the complete sample of
24 blue straggler stars (BSs) in the old Galactic open cluster M67 (NGC 2682)
is presented. All spectra, calibrated using spectral standards, were
recalibrated by means of photometric magnitudes in the
Beijing-Arizona-Taipei-Connecticut system, which includes fluxes in 11 bands
covering ~3500-10000 A. The set of parameters was obtained using two
complementary approaches that rely on a comparison of the spectra with (i) an
empirical sample of stars with well-established spectral types and (ii) a
theoretical grid of optical spectra computed at both low and high resolution.
The overall results indicate that the BSs in M67 span a wide range in Teff(~
5600 -12600 K) and surface gravities that are fully compatible with those
expected for main-sequence objects (log g = 3.5 -5.0 dex).


title:
The Absence of Superconductivity in Single Phase CaFe2As2 under
  Hydrostatic Pressure

abstract:
  Recent high-pressure studies found that superconductivity can be achieved
under very low pressure in the parent iron arsenide compound CaFe2As2, although
details of the sharpness and temperature of transitions vary between liquid
medium and gas medium measurements. To better understand this issue, we
performed high-pressure susceptibility and transport studies on CaFe2As2, using
helium as the pressure medium. The signatures of the transitions to the
low-temperature orthorhombic and collapsed tetragonal phase remained
exceptionally sharp and no signature of bulk superconductivity was found under
our hydrostatic conditions. Our results suggest that phase separation and
superconductivity in CaFe2As2 are induced by non-hydrostatic conditions
associated with the frozen liquid media.


title:
Solution of Partial Differential Equations by Method of Hyperholomorphic
  functions

abstract:
  It is well known that the real and imaginary parts of any holomorphic
function are harmonic functions of two variables. In this paper we generalize
this property to finite-dimensional commutative algebras. We prove that if some
basis of a subspace of a commutative algebra satisfies a polynomial equation
then components of a hyperholomorphic function on the subspace are solutions of
the respective partial differential equation.


title:
Gauge-singlet dark matter in a left-right symmetric model with
  spontaneous CP violation

abstract:
  We propose a dark matter (DM) scenario in an extension of a left-right
symmetric model with a gauge-singlet scalar field. The gauge-singlet scalar can
automatically become a DM candidate, provided that both P and CP symmetries are
only broken spontaneously. Thus no extra discrete symmetries are needed to make
the DM candidate stable. After constraining the model parameters from the
observed relic DM density we make predictions for direct detection experiments.
We show that for some parameter range, the predicted WIMP-nucleon elastic
scattering cross section can reach the current experimental upper bound, which
can be tested by the experiments in the near future.


title:
Testing for Majorana Zero Modes in a Px+iPy Superconductor at High
  Temperature by Tunneling Spectroscopy

abstract:
  Directly observing a zero energy Majorana state in the vortex core of a
chiral superconductor by tunneling spectroscopy requires energy resolution
better than the spacing between core states $\Delta^2/eF$. We show that
nevertheless, its existence can be decisively tested by comparing the
temperature broadened tunneling conductance of a vortex with that of an
antivortex even at temperatures $T >> \Delta^2/eF$.


title: Passage of radiation through wormholes and formation of black holes

abstract:
  This paper has been withdrawn by the authors due to overlap with other
papers.


title:
An alternative fit to Belle mass spectra for DD, D*D* and Lambda_C
  Lambda_c

abstract:
  Peaks observed by Belle in DD at 3.878 GeV and in D*D* at 4.156 GeV may be
fitted by phase space multiplied by a form factor with an RMS radius of
interaction 0.63 fm. The peak observed in Lambda_C Lambda_C at 4.63 GeV may be
explained by Y(4660), multiplied by a corresponding form factor with RMS radius
0.94 fm.


title:
Some characteristics of three exact solutions of Einstein equations
  minimally coupled to a Quintessence field

abstract:
  We show some characteristics of three exact solutions to the Einstein's
gravity minimally coupled to a Quintessence field. Besides eternal inflation,
several other interesting inflationary processes, such as transitory inflation,
are attained in these solutions. Singularity is avoided in some special cases.


title: Memory effects in turbulent transport

abstract:
  In the mean-field theory of magnetic fields, turbulent transport, i.e. the
turbulent electromotive force, is described by a combination of the alpha
effect and turbulent magnetic diffusion, which are usually assumed to be
proportional respectively to the mean field and its spatial derivatives. For a
passive scalar there is just turbulent diffusion, where the mean flux of
concentration depends on the gradient of the mean concentration. However, these
proportionalities are approximations that are valid only if the mean field or
the mean concentration vary slowly in time. Examples are presented where
turbulent transport possesses memory, i.e. where it depends crucially on the
past history of the mean field. Such effects are captured by replacing
turbulent transport coefficients with time integral kernels, resulting in
transport coefficients that depend effectively on the frequency or the growth
rate of the mean field itself. In this paper we perform numerical experiments
to find the characteristic timescale (or memory length) of this effect as well
as simple analytical models of the integral kernels in the case of passive
scalar concentrations and kinematic dynamos. The integral kernels can then be
used to find self-consistent growth or decay rates of the mean fields. In
mean-field dynamos the growth rates and cycle periods based on steady state
values of alpha effect and turbulent diffusivity can be quite different from
the actual values.


title: Application of graph combinatorics to rational identities of type A

abstract:
  To a word $w$, we associate the rational function $\Psi_w = \prod (x_{w_i} -
x_{w_{i+1}})^{-1}$. The main object, introduced by C. Greene to generalize
identities linked to Murnaghan-Nakayama rule, is a sum of its images by certain
permutations of the variables. The sets of permutations that we consider are
the linear extensions of oriented graphs. We explain how to compute this
rational function, using the combinatorics of the graph $G$. We also establish
a link between an algebraic property of the rational function (the
factorization of the numerator) and a combinatorial property of the graph (the
existence of a disconnecting chain).


title: Decentralized Overlay for Federation of Enterprise Clouds

abstract:
  This chapter describes Aneka-Federation, a decentralized and distributed
system that combines enterprise Clouds, overlay networking, and structured
peer-to-peer techniques to create scalable wide-area networking of compute
nodes for high-throughput computing. The Aneka-Federation integrates numerous
small scale Aneka Enterprise Cloud services and nodes that are distributed over
multiple control and enterprise domains as parts of a single coordinated
resource leasing abstraction. The system is designed with the aim of making
distributed enterprise Cloud resource integration and application programming
flexible, efficient, and scalable. The system is engineered such that it:
enables seamless integration of existing Aneka Enterprise Clouds as part of
single wide-area resource leasing federation; self-organizes the system
components based on a structured peer-to-peer routing methodology; and presents
end-users with a distributed application composition environment that can
support variety of programming and execution models. This chapter describes the
design and implementation of a novel, extensible and decentralized peer-to-peer
technique that helps to discover, connect and provision the services of Aneka
Enterprise Clouds among the users who can use different programming models to
compose their applications. Evaluations of the system with applications that
are programmed using the Task and Thread execution models on top of an overlay
of Aneka Enterprise Clouds have been described here.


title:
The First and Second Variation of the Total Energy of Closed Duplex DNA
  in Planar Case

abstract:
  DNA's shape mostly lies on its total energy $F$. Its corresponding
equilibrium shape equations can be got by classical variation method: letting
the first energy variation $\delta^{(1)}F=0$. Here we not only provide the
first variation $\delta^{(1)}F$ but also give the second variation
$\delta^{(2)}F$ in planar case. Moreover, the general shape equations of DNA
are obtained and a mistake in [Zhang, \emph{et al}. {\it Phys. Rev. E} {\bf 70}
051902 (2004)] is pointed out.


title: Hypertriton Electric Polarizability

abstract:
  A rigorous formalism for determining the electric dipole polarizability of a
three-hadron bound complex in the case that the system has only one bound
(ground) state has been elaborated. On its basis, by applying a model wave
function that takes into account specific features of the structure of the
lightest hypernucleus and using the known low-energy experimental data for the
p-n and lambda-d systems as input data, we have calculated the value of the
electric dipole polarizability of the lambda hypertriton. It follows from our
study that the polarizability of the lambda hypertriton is close to 3 fm^3
exceeding the polarizabilities of the ordinary three-nucleon nuclei by an order
of magnitude.


title:
Modelling atmospheric chemistry and long-range transport of emerging
  Asian pollutants

abstract:
  Modeling is a very important tool for scientific processes, requiring
long-term dedication, desire, and continuous reflection. In this work, we
discuss several aspects of modeling, and the reasons for doing it. We discuss
two major modeling systems that have been built by us over the last 10 years.
It is a long and arduous process but the reward of understanding can be
enormous, as demonstrated in the examples shown in this work. We found that
long-range transport of emerging Asian pollutants can be interpreted using a
Lagrangian framework for wind analysis. More detailed processes still need to
be modeled but an accurate representation of the wind structure is the most
important thing above all others. Our long-term chemistry integrations reveal
the capability of the IMS model in simulating tropospheric chemistry on a
climate scale. These long-term integrations also show ways for further model
development. Modeling is a quantitative process, and the understanding can be
sustained only when theories are vigorously tested in the models and compared
with high quality measurements. We should also not over look the importance of
data visualization techniques. Humans feel more confident when they see things.
Hence, modeling is an incredible journey, combining data collection,
theoretical formulation, detailed computer coding and harnessing computer
power. The best is yet to come.


title:
Evidence for Local Moment by Electron Spin Resonance Study on
  Polycrystalline LaFeAsO$_{1-x}$F$_x$ (x=0 and 0.13)

abstract:
  The temperature dependence of electron spin resonance (ESR) was studied in
the oxypnictide superconductors LaFeAsO$_{1-x}$F$_x$ (x = 0.0 and 0.13). In the
samples, the ESR signal indicates that the g factor and peak-to-peak linewidth
strongly depend on temperature, especially at low temperatures. It indicates a
strong coupling picture with existence of local moment. The dependence
mentioned above gradually attenuates, and tends to saturation around
room-temperature. This behavior could be ascribed to "bottleneck" effect due to
coupling of local moment and itinerant electron. In addition, a Curie-Weiss
like behavior is also observed in temperature dependent integral intensity for
the two samples. Our results strongly support the existence of local moments in
these materials while its origin is still unclear. The results also indicate
strong magnetic frustration in this system, and magnetic fluctuation mechanism
for superconductivity is suggested.


title: Short-time motion of Brownian particles in a shear flow

abstract:
  The short-time motion of Brownian particles in an incompressible Newtonian
fluid under shear, in which the fluid inertia becomes important, was
investigated by direct numerical simulation of particulate flows.
Three-dimensional simulations were performed, wherein external forces were
introduced to approximately form Couette flows throughout the entire system
with periodic boundary conditions. In order to examine the validity of the
method, the mean square displacement of a single spherical particle in a simple
shear flow was calculated, and these results were compared with a hydrodynamic
analytical solution that includes the effects of the fluid inertia. Finally,
the dynamical behavior of a monodisperse dispersion composed of repulsive
spherical particles was examined on short time scales, and the shear-induced
diffusion coefficients were measured for several volume fractions up to 0.50.


title:
Transport properties and superconductivity in
  K$_{1-x}$Ln$_{x}$Fe$_2$As$_2$ (Ln=Sm, Nd and La) system

abstract:
  We prepared the samples K$_{1-x}$Ln$_{x}$Fe$_2$As$_2$ (Ln=Sm, Nd and La) with
ThCr$_2$Si$_2$-type structure. These samples were characterized by X-ray
diffraction, resistivity, susceptibility and thermoelectric power (TEP).
Substitution of Ln (Ln=La, Nd and Sm) for K in K$_{1-x}$Ln$_{x}$Fe$_2$As$_2$
system raises the superconducting transition temperature to 34-36 K. The TEP
measurements indicate that the TEP of K$_{1-x}$Ln$_{x}$Fe$_2$As$_2$ is
positive, being similar to the case of the Ba$_{1-x}$K$_{x}$Fe$_2$As$_2$ system
with p-type carrier. In the K$_{1-x}$Ln$_{x}$Fe$_2$As$_2$ system, the
superconducting $KFe_2As_2$ with $T_c\sim 3$ K is the parent compound, and no
structural and spin-density wave instabilities exist in this system.


title:
Magnetic-field tunable photonic stop band in the three-dimensional array
  of conducting spheres

abstract:
  We explore possibility of tuning photonic crystal properties via
order-disorder transition. We fabricated a photonic bandgap material consisting
of a three-dimensional array of conducting magnetizable spheres. The spheres
self-assemble into ordered state under external magnetic field, in such a way
that the crystalline order can be continuously controlled. We study mm-wave
transmission through the array as a function of magnetic field, i.e. for
different degrees of order. This was done for the regular crystal, as well for
the crystal with the planar defect which demonstrates resonance transmission at
a certain frequency. We observe that in the ordered, "crystalline" state there
is a well-defined stopband, while in the completely disordered, glassy or
"amorphous" state, the stopband nearly disappears. We relate the disappearance
of the stopband in the disordered state to the fluctuations in the particle
area density. We develop a model which predicts how these fluctuations depend
on magnetic field and how they affect electrodynamic properties of the whole
sample. The model describes our results fairly well.


title:
Phase sensitive amplification in a superconducting stripline resonator
  integrated with a dc-SQUID

abstract:
  We utilize a superconducting stripline resonator containing a dc-SQUID as a
strong intermodulation amplifier exhibiting a signal gain of 25 dB and a phase
modulation of 30 dB. Studying the system response in the time domain near the
intermodulation amplification threshold reveals a unique noise-induced spikes
behavior. We account for this response qualitatively via solving numerically
the equations of motion for the integrated system. Furthermore, employing this
device as a parametric amplifier yields a gain of 38 dB in the generated
side-band signal.


title: An Efficient Algorithm for Partial Order Production

abstract:
  We consider the problem of partial order production: arrange the elements of
an unknown totally ordered set T into a target partially ordered set S, by
comparing a minimum number of pairs in T. Special cases include sorting by
comparisons, selection, multiple selection, and heap construction.
  We give an algorithm performing ITLB + o(ITLB) + O(n) comparisons in the
worst case. Here, n denotes the size of the ground sets, and ITLB denotes a
natural information-theoretic lower bound on the number of comparisons needed
to produce the target partial order.
  Our approach is to replace the target partial order by a weak order (that is,
a partial order with a layered structure) extending it, without increasing the
information theoretic lower bound too much. We then solve the problem by
applying an efficient multiple selection algorithm. The overall complexity of
our algorithm is polynomial. This answers a question of Yao (SIAM J. Comput.
18, 1989).
  We base our analysis on the entropy of the target partial order, a quantity
that can be efficiently computed and provides a good estimate of the
information-theoretic lower bound.


title:
The properties of cuspy triaxial systems formed due to the radial-orbit
  instability

abstract:
  Context. We have investigated the structure and kinematics of triaxial final
models formed due to radial-orbit instability from a set of equilibrium
anisotropic spherical systems of the Osipkov-Merritt type. Aims. We show that
the instability is a natural way to build nonspherical systems and thus can be
considered as a new technique for constructing equilibrium $N$-body models.
Methods. The dynamical evolution of the models was followed numerically by
means of the Dehnen's public code gyrfacON. Results. We found that the shape of
the density profiles for various initial spherical models didn't change despite
of the systems were drastically rearranged into triaxial configurations and had
got the new scale lengths. The cusp was found to be an invariant feature of
such a rearranging. Starting from a certain unstable spherical $\gamma$-model
we obtain a triaxial system with the same cusp. The end-products are
anisotropic at large radii and have anisotropy profiles of the Osipkov-Merrit
type. The size of the isotropic core once rescaled corresponds to the value of
marginally stable $\gamma$-progenitors and is almost independent of the
unstable starting point. Conclusions. We conclude that the end-products reach a
new steady state and have quite predictable properties. They can be used as
equilibrium models to describe the elliptical galaxies and bulges. They also
can be incorporated in $N$-body simulations deal with multicomponent systems.


title: Three flow regimes of viscous jet falling onto a moving surface

abstract:
  A stationary viscous jet falling from an oriented nozzle onto a moving
surface is studied, both theoretically and experimentally. We distinguish three
flow regimes and classify them by the convexity of the jet shape (concave,
vertical and convex). The fluid is modeled as a Newtonian fluid, and the model
for the flow includes viscous effects, inertia and gravity. By studying the
characteristics of the conservation of momentum for a dynamic jet, the boundary
conditions for each flow regime are derived, and the flow regimes are
characterized in terms of the process and material parameters. The model is
solved by a transformation into an algebraic equation. We make a comparison
between the model and experiments, and obtain qualitative agreement.


title:
On the quark component in prompt photon and electroweak gauge boson
  production at high energies

abstract:
  In the framework of the kt-factorization approach, we study the production of
prompt photons and electroweak gauge bosons in high energy proton-(anti)proton
collisions at modern colliders. Our consideration is based on the amplitude for
the production of a single photon or W/Z boson associated with a quark pair in
the fusion of two off-shell gluons. The quark component is taken into account
separately using the quark-gluon scaterring and quark-antiquark annihilation
QCD subprocesses. Special attention is put on the contributions from the quarks
involved into the earlier steps of the evolution cascade. Using the
Kimber-Martin-Ryskin formalism, we simulate this component and demonstrate that
it plays an important role at both the Tevatron and LHC energies. Our
theoretical results are compared with recent experimental data taken by the D0
and CDF collaborations at the Tevatron.


title:
Quantum teleportation and state sharing using a genuinely entangled six
  qubit state

abstract:
  The usefulness of the genuinely entangled six qubit state that was recently
introduced by Borras et al. is investigated for the quantum teleportation of an
arbitrary three qubit state and for quantum state sharing (QSTS) of an
arbitrary two qubit state. For QSTS, we explicitly devise two protocols and
construct sixteen orthogonal measurement basis which can lock an arbitrary two
qubit information between two parties.


title: Pseudoscalar glueball mass from $\eta$-$\eta'$-$G$ mixing

abstract:
  We deduce the mass of the pseudoscalar glueball $G$ from an
$\eta$-$\eta'$-$G$ mixing formalism based on the anomalous Ward identity for
transition matrix elements. With the inputs from the recent KLOE experiment, we
find a solution for the pseudoscalar glueball mass around $(1.4\pm 0.1)$ GeV,
which is fairly insensitive to a range of inputs with or without
Okubo-Zweig-Iizuka-rule violating effects. This affirms that $\eta(1405)$,
having a large production rate in the radiative $J/\Psi$ decay and not seen in
$\gamma\gamma$ reactions, is indeed a leading candidate for the pseudoscalar
glueball. Other relevant quantities including the anomaly and pseudoscalar
density matrix elements are obtained. The decay widths for $G\to \gamma\gamma$,
$\ell^+\ell^-$ are also predicted.


title: Encapsulation theory: the configuration efficiency limit

abstract:
  This paper shows how maximum possible configuration efficiency of an
indefinitely large software system is constrained by chosing a fixed upper
limit to the number of program units per subsystem. It is then shown how the
configuration efficiency of an indefinitely large software system depends on
the ratio of the total number of informaiton hiding violational software units
divided by the total number of program units.


title:
Statistics of surface gravity wave turbulence in the space and time
  domains

abstract:
  We present experimental results on simultaneous space-time measurements for
the gravity wave turbulence in a large laboratory flume. We compare these
results with predictions of the weak turbulence theory (WTT) based on random
waves, as well as with predictions based on the coherent singular wave crests.
We see that both wavenumber and the frequency spectra are not universal and
dependent on the wave strength, with some evidence in favor of WTT at larger
wave intensities when the finite flume effects are minimal. We present further
theoretical analysis of the role of the random and coherent waves in the wave
probability density function (PDF) and the structure functions (SFs). Analyzing
our experimental data we found that the random waves and the coherent
structures/breaks coexist: the former show themselves in a quasi-gaussian PDF
core and in the low-order SFs, and the latter - in the PDF tails and the
high-order SF's. It appears that the x-space signal is more intermittent than
the t-space signal, and the x-space SFs capture more singular coherent
structures than do the t-space SFs. We outline an approach treating the
interactions of these random and coherent components as a turbulence cycle
characterized by the turbulence fluxes in both the wavenumber and the amplitude
spaces.


title: The fundamental category of a stratified space

abstract:
  The fundamental groupoid of a locally 0 and 1-connected space classifies
covering spaces, or equivalently local systems. When the space is topologically
stratified Treumann, based on unpublished ideas of MacPherson, constructed an
`exit category' (in the terminology of this paper, the `fundamental category')
which classifies constructible sheaves, equivalently stratified etale covers.
This paper generalises this construction to homotopically stratified sets, in
addition showing that the fundamental category dually classifies constructible
cosheaves, equivalently stratified branched covers.
  The more general setting has several advantages. It allows us to remove a
technical `tameness' condition which appears in Treumann's work; to show that
the fundamental groupoid can be recovered by inverting all morphisms and,
perhaps most importantly, to reduce computations to the two stratum case. This
provides an approach to computing the fundamental category in terms of homotopy
groups of strata and homotopy links. We apply these techniques to compute the
fundamental category of symmetric products of R^2, stratified by collisions.
  Two appendices explain the close relations respectively between filtered and
pre-ordered spaces and between cosheaves and branched covers (technically
locally-connected uniquely-complete spreads).


title: On the Structure of Complex Homogeneous Supermanifolds

abstract:
  For a Lie group $G$ and a closed Lie subgroup $H\subset G$, it is well known
that the coset space $G/H$ can be equipped with the structure of a manifold
homogeneous under $G$ and that any $G$-homogeneous manifold is isomorphic to
one of this kind. An interesting problem is to find an analogue of this result
in the case of supermanifolds.
  In the classical setting, $G$ is a real or a complex Lie group and $G/H$ is a
real and, respectively, a complex manifold. Now, if $G$ is a real Lie
supergroup and $H\subset G$ is a closed Lie subsupergroup, there is a natural
way to consider $G/H$ as a supermanfold. Furthermore, any $G$-homogeneous real
supermanifold can be obtained in this way, see \cite{Kostant}. The goal of this
paper is to give a proof of this result in the complex case.


title: A closer look at the uncertainty relation of position and momentum

abstract:
  We consider particles prepared by the von Neumann-L\"uders projection. For
those particles the standard deviation of the momentum is discussed. We show
that infinite standard deviations are not exceptions but rather typical. A
necessary and sufficient condition for finite standard deviations is given.
Finally, a new uncertainty relation is derived and it is shown that the latter
cannot be improved.


title:
Shifted small deviations and Chung LIL for symmetric alpha-stable
  processes

abstract:
  Consider a symmetric $\alpha$-stable L\'evy process with $\alpha\in (1,2)$.
We study shifted small ball probabilities for these processes in the uniform
topology, when the shift function is an arbitrary continuous function which
starts at 0. We obtain the exact rate of decrease for these probabilities
including constants.
  Using these small ball estimates, we obtain a functional LIL for
$\alpha$-stable L\'evy process with attracting functions that are continuous.
It occurs that the limit set for the family of renormalized $\alpha$-stable
L\'evy processes is equal to the set of all continuous functions on $[0,1]$
which start at 0, under certain choice of normalizing functions.


title:
Soliton dynamics for the nonlinear Schr\"odinger equation with magnetic
  field

abstract:
  The semiclassical limit of a nonlinear focusing Schr\"odinger equation in
presence of nonconstant electric and magnetic potentials V,A is studied by
taking as initial datum the ground state solution of an associated autonomous
elliptic equation. The concentration curve of the solutions is a
parameterization of the solutions of a Newton ODE involving the electric force
as well as the magnetic force via the Lorenz law of electrodynamics.


title: Trapping of a microsphere pendulum resonator in an optical potential

abstract:
  We propose a method to spatially confine or corral the movements of a
micropendulum via the optical forces produced by two simultaneously excited
optical modes of a photonic molecule comprising two microspherical cavities. We
discuss how the cavity enhanced optical force generated in the photonic
molecule can create an optomechanical potential of about 10 eV deep and 30 pm
wide, which can be used to trap the pendulum at any given equilibrium position
by a simple choice of laser frequencies. This result presents opportunities for
very precise all-optical self-alignment of microsystems.


title: On models of a nondeterministic computation

abstract:
  In this paper we consider a nondeterministic computation by deterministic
multi-head 2-way automata having a read-only access to an auxiliary memory. The
memory contains additional data (a guess) and computation is successful iff it
is successful for some memory content. Also we consider the case of restricted
guesses in which a guess should satisfy some constraint. We show that the
standard complexity classes such as L, NL, P, NP, PSPACE can be characterized
in terms of these models of nondeterministic computation. These
characterizations differ from the well-known ones by absence of alternation.


title:
Group classification via mapping between classes: an example of
  semilinear reaction-diffusion equations with exponential nonlinearity

abstract:
  The group classification of a class of semilinear reaction-diffusion
equations with exponential nonlinearity is carried out using the technique of
mapping between classes, which was recently proposed in [O.O. Vaneeva, R.O.
Popovych and C. Sophocleous, Acta Appl. Math., doi:10.1007/s10440-008-9280-9,
arXiv:0708.3457].


title:
Period Doubling in Area-Preserving Maps: An Associated One Dimensional
  Problem

abstract:
  It has been observed that the famous Feigenbaum-Coullet-Tresser period
doubling universality has a counterpart for area-preserving maps of
$\field{R}^2$. A renormalization approach has been used in a computer-assisted
proof of existence of an area-preserving map with orbits of all binary periods
by J.-P. Eckmann, H. Koch and P. Wittwer (1982 and 1984). As it is the case
with all non-trivial universality problems in non-dissipative systems in
dimensions more than one, no analytic proof of this period doubling
universality exists to date.
  We argue that the period doubling renormalization fixed point for
area-preserving maps is almost one dimensional, in the sense that it is close
to the following Henon-like map: $$H^*(x,u)=(\phi(x)-u,x-\phi(\phi(x)-u)),$$
where $\phi$ solves $$\phi(x)={2 \over \lambda} \phi(\phi(\lambda x))-x.$$
  We then give a ``proof'' of existence of solutions of small analytic
perturbations of this one dimensional problem, and describe some of the
properties of this solution.
  The ``proof'' consists of an analytic argument for factorized inverse
branches of $\phi$ together with verification of several inequalities and
inclusions of subsets of $\field{C}$ numerically.
  Finally, we suggest an analytic approach to the full period doubling problem
for area-preserving maps based on its proximity to the one dimensional. In this
respect, the paper is an exploration of a possible analytic machinery for a
non-trivial renormalization problem in a conservative two-dimensional system.


title: Comment on "Two-photon decay of the sigma meson"

abstract:
  We comment on a recent paper by Giacosa, Gutsche, and Lyobovitskij, in which
it is argued that a quarkonium interpretation of the $\sigma$ meson should give
rise to a much smaller two-photon decay width than commonly assumed. The reason
for this claimed discrepancy is a term in the transition amplitude, necessary
for gauge invariance, which allegedly is often omitted in the literature,
including the work of the present authors. Here we show their claims to be
incorrect by demonstrating, in the context of the Quark-Level Linear $\sigma$
Model, that the recently extracted experimental value
$\Gamma_{\sigma\to2\gamma}=(4.1\pm0.3)$ keV is compatible with a $q\bar{q}$
assignment for the $\sigma$, provided that meson loops are taken into account
as well.


title: The Center of the Nilcoxeter and 0-Hecke Algebras

abstract:
  We compute the dimension of the center of the 0-Hecke algebra $\mathcal{H}_n$
and of the Nilcoxeter algebra $\mathcal{NC}_n$ using a calculus of diagrams on
the M\"{o}bius band. In the case of the Nilcoxeter algebra, this calculus is
shown to produce a basis for $Z(\mathcal{NC}_n)$ and the table of
multiplication in this basis is shown to be trivial. We conjecture that a basis
for $Z(\mathcal{H}_n)$ can also be obtained in a specific way from this
topological calculus.


title: Wegner estimate and level repulsion for Wigner random matrices

abstract:
  We consider $N\times N$ Hermitian random matrices with independent
identically distributed entries (Wigner matrices). The matrices are normalized
so that the average spacing between consecutive eigenvalues is of order $1/N$.
Under suitable assumptions on the distribution of the single matrix element, we
first prove that, away from the spectral edges, the empirical density of
eigenvalues concentrates around the Wigner semicircle law on energy scales
$\eta \gg N^{-1}$. This result establishes the semicircle law on the optimal
scale and it removes a logarithmic factor from our previous result \cite{ESY2}.
We then show a
  Wegner estimate, i.e. that the averaged density of states is bounded.
Finally, we prove that the eigenvalues of a Wigner matrix repel each other, in
agreement with the universality conjecture.


title:
Bound electron states in the monolayer graphene with short-range
  impurities

abstract:
  Bound electron states in impure graphene are considered. Short-range
perturbations for defect and impurities of the types "local chemical potential"
and "local gap" are taken into account.


title: Statistical approach for supernova matter

abstract:
  We formulate a statistical model for description of nuclear composition and
equation of state of stellar matter at subnuclear densities and temperature up
to 20 MeV, which are expected during the collapse and explosion of massive
stars. The model includes nuclear, electromagnetic and weak interactions
between all kinds of particles, under condition of statistical equilibrium. We
emphasize importance of realistic description of the nuclear composition for
understanding stellar dynamics and nucleosynthesis. It is demonstrated that the
experience accumulated in studies of nuclear multifragmentation reactions can
be used for better modelling properties of stellar medium.


title:
Polynomial operators and local smoothness classes on the unit interval,
  II

abstract:
  We prove the existence of quadrature formulas exact for integrating high
degree polynomials with respect to Jacobi weights based on scattered data on
the unit interval. We also obtain a characterization of local Besov spaces
using the coefficients of a tight frame expansion.


title:
Distributed Stochastic Subgradient Projection Algorithms for Convex
  Optimization

abstract:
  We consider a distributed multi-agent network system where the goal is to
minimize a sum of convex objective functions of the agents subject to a common
convex constraint set. Each agent maintains an iterate sequence and
communicates the iterates to its neighbors. Then, each agent combines weighted
averages of the received iterates with its own iterate, and adjusts the iterate
by using subgradient information (known with stochastic errors) of its own
function and by projecting onto the constraint set.
  The goal of this paper is to explore the effects of stochastic subgradient
errors on the convergence of the algorithm. We first consider the behavior of
the algorithm in mean, and then the convergence with probability 1 and in mean
square. We consider general stochastic errors that have uniformly bounded
second moments and obtain bounds on the limiting performance of the algorithm
in mean for diminishing and non-diminishing stepsizes. When the means of the
errors diminish, we prove that there is mean consensus between the agents and
mean convergence to the optimum function value for diminishing stepsizes. When
the mean errors diminish sufficiently fast, we strengthen the results to
consensus and convergence of the iterates to an optimal solution with
probability 1 and in mean square.


title:
An Enhanced Mathematical Model for Performance Evaluation of Optical
  Burst Switched Networks

abstract: This paper has been withdrawn by the authors.


title: Efficient Quantum Tensor Product Expanders and k-designs

abstract:
  Quantum expanders are a quantum analogue of expanders, and k-tensor product
expanders are a generalisation to graphs that randomise k correlated walkers.
Here we give an efficient construction of constant-degree, constant-gap quantum
k-tensor product expanders. The key ingredients are an efficient classical
tensor product expander and the quantum Fourier transform. Our construction
works whenever k=O(n/log n), where n is the number of qubits. An immediate
corollary of this result is an efficient construction of an approximate unitary
k-design, which is a quantum analogue of an approximate k-wise independent
function, on n qubits for any k=O(n/log n). Previously, no efficient
constructions were known for k>2, while state designs, of which unitary designs
are a generalisation, were constructed efficiently in [Ambainis, Emerson 2007].


title: Minimal Magnetic Energy Theorem

abstract:
  Thomson's theorem states that static charge distributions in conductors only
exist at the conducting surfaces in an equipotential configuration, yielding a
minimal electrostatic energy. In this work we present a proof for this theorem
based on the variational principle. Furthermore, an analogue statement for
magnetic systems is also introduced and proven: the stored magnetic field
energy reaches the minimum value for superficial current distributions so that
the magnetic vector potential points in the same direction as the surface
current. This is the counterpart of Thomson's theorem for the magnetic field.
The result agrees with the fact that currents in superconductors are confined
near the surface and indicates that the distinction between superconductors and
hypothetical perfect conductors is fictitious.


title: Spin-dependent interactions in quarkonia

abstract:
  The spin-dependent interactions in mesons are considered in detail in the
framework of the Field Correlator Method. Analytic expressions for the
spin-dependent potentials in heavy and light quarkonia are derived with the QCD
string moment of inertia taken into account. Recent lattice data are analysed
using these formulae and the data are shown to be consistent with very small
values of the gluonic correlation length, <0.1 fm. The Field Correlator and the
Eichten-Feinberg definitions of the spin-dependent potentials in the lowest,
Gaussian approximation for the QCD vacuum are compared to one another and the
two approaches are shown to be equivalent in the limit of a vanishing vacuum
correlation length, whereas for finite values of the latter the difference
between these two approaches can be explained by the contribution of the
higher-order field corelators, starting from the quartic one.


title: A Unified Framework for Photometric Redshifts

abstract:
  We present a rigorous mathematical solution to photometric redshift
estimation and the more general inversion problem. The challenge we address is
to meaningfully constrain unknown properties of astronomical sources based on
given observables, usually multicolor photometry, with the help of a training
set that provides an empirical relation between the measurements and the
desired quantities. We establish a formalism that blurs the boundary between
the traditional empirical and template-fitting algorithms, as both are just
special cases that are discussed in detail to put them in context. The new
approach enables the development of more sophisticated methods that go beyond
the classic techniques to combine their advantages. We look at the directions
for further improvement in the methodology, and examine the technical aspects
of practical implementations. We show how training sets are to be constructed
and used consistently for reliable estimation.


title:
Beltrami forms, affine surfaces and the Schwarz-Christoffel formula: a
  worked out example of straightening

abstract:
  Consider the straightening phi of a Beltrami form that is constant on a
square, with the corresponding ellipses having a vertical major axis, and null
outside. A generalized Schwarz-Christoffel formula is used to express the
inverse of phi. The formula is found by introducing an affine Riemann surface.
This formula is used to draw on a computer the image of the square by phi, and
practical aspects are discussed. The resulting shapes are shown for different
values of the constant dilatation ratio of the ellipses (=major axis/minor
axis). The limit when this ratio tends to infinity is surprising. A model of
this limit is proposed, produced by an affine surface uniformization.


title:
Anisotropy in spatial order-disorder transformations and the vortex
  lattice symmetry transition in $YNi_2B_2C$ and $LuNi_2B_2C$

abstract:
  Explorations of the order-disorder transformation in vortex matter in single
crystals of tetragonal structured (c/a $\sim$3) borocarbide superconductors,
$YNi_2B_2C$ and $LuNi_2B_2C$, reveal that vortex arrays experience different
effective pinning in different crystallographic directions. We surmise that
correlation exists between the large anisotropy in effective pinning/disorder
and the differences in the (local) symmetry transition from rhombohedral to
(quasi) square vortex lattice(VL). For field along high symmetry directions,
like, c-axis and ab-basal plane, the VL symmetry is close to square and the
ordered state spans a large field interval. When the field is turned away from
the c-axis towards ab-plane, at intermediate angles, the region of ordered
state shrinks, in response to enhancement in effective pinning. At such
intermediate angles the symmetry of the VL would be far from ideal triangular
or square.


title: Approaches to Open Access in Scientific Publishing

abstract:
  Approaches to scientific journal publishing that provide free access to all
readers are challenging the standard subscription-based model. But in domains
that have a well-functioning system of publicly accessible preprint
repositories like arXiv, Open Access is already effectively available. In
physics, such repositories have long coexisted constructively with refereed,
subscription based journals. Trying to replace this by a system based on
journals whose revenue is derived primarily from fees charged to authors is
unlikely to provide a better guarantee of Open Access, and may be in conflict
with the maintenance of high quality standards.


title:
Flux jumps, Second Magnetization Peak anomaly and the Peak Effect
  phenomenon in single crystals of $YNi_2B_2C$ and $LuNi_2B_2C$

abstract:
  We present magnetization measurements in single crystals of the tetragonal
$YNi_2B_2C$ compound, which exhibit the phenomenon of peak effect as well as
the second magnetization peak anomaly for H $>$ 0.5T (H $||$ c). At the lower
field (50mT $<$ H $<$ 200mT), we have observed the presence of flux jumps,
which seem to relate to a structural change in the local symmetry of the flux
line lattice (a first order re-orientation transition across a local field in
some parts of the sample, in the range of 100mT to 150mT). These flux jumps are
also observed in a single crystal of $LuNi_2B_2C$ for H $||$ c in the field
region from 2 mT to 25 mT, which are compatible with the occurrence of a
re-orientation transition at a lower field in a cleaner crystal of this
compound, as compared to those of $YNi_2B_2C$. Vortex phase diagrams drawn for
H $||$ c in $LuNi_2B_2C$ and $YNi_2B_2C$ show that the ordered elastic glass
phase spans a larger part of (H, T) space in the former as compared to latter,
thereby, reaffirming the difference in the relative purity of the two samples.


title:
Bi-orthogonal systems on the unit circle, regular semi-classical weights
  and the discrete Garnier equations

abstract:
  We demonstrate that a system of bi-orthogonal polynomials and their
associated functions corresponding to a regular semi-classical weight on the
unit circle constitute a class of general classical solutions to the Garnier
systems by explicitly constructing its Hamiltonian formulation and showing that
it coincides with that of a Garnier system. Such systems can also be
characterised by recurrence relations of the discrete Painlev\'e type, for
example in the case with one free deformation variable the system was found to
be characterised by a solution to the discrete fifth Painlev\'e equation. Here
we derive the canonical forms of the multi-variable generalisation of the
discrete fifth Painlev\'e equation to the Garnier systems, i.e. for arbitrary
numbers of deformation variables.


title: Direct Imaging of Multiple Planets Orbiting the Star HR 8799

abstract:
  Direct imaging of exoplanetary systems is a powerful technique that can
reveal Jupiter-like planets in wide orbits, can enable detailed
characterization of planetary atmospheres, and is a key step towards imaging
Earth-like planets. Imaging detections are challenging due to the combined
effect of small angular separation and large luminosity contrast between a
planet and its host star. High-contrast observations with the Keck and Gemini
telescopes have revealed three planets orbiting the star HR 8799, with
projected separations of 24, 38, and 68 astronomical units. Multi-epoch data
show counter-clockwise orbital motion for all three imaged planets. The low
luminosity of the companions and the estimated age of the system imply
planetary masses between 5 and 13 times that of Jupiter. This system resembles
a scaled-up version of the outer portion of our Solar System.