title:
Some Aspects of Measurement Error in Linear Regression of Astronomical
  Data

abstract:
  I describe a Bayesian method to account for measurement errors in linear
regression of astronomical data. The method allows for heteroscedastic and
possibly correlated measurement errors, and intrinsic scatter in the regression
relationship. The method is based on deriving a likelihood function for the
measured data, and I focus on the case when the intrinsic distribution of the
independent variables can be approximated using a mixture of Gaussians. I
generalize the method to incorporate multiple independent variables,
non-detections, and selection effects (e.g., Malmquist bias). A Gibbs sampler
is described for simulating random draws from the probability distribution of
the parameters, given the observed data. I use simulation to compare the method
with other common estimators. The simulations illustrate that the Gaussian
mixture model outperforms other common estimators and can effectively give
constraints on the regression parameters, even when the measurement errors
dominate the observed scatter, source detection fraction is low, or the
intrinsic distribution of the independent variables is not a mixture of
Gaussians. I conclude by using this method to fit the X-ray spectral slope as a
function of Eddington ratio using a sample of 39 z < 0.8 radio-quiet quasars. I
confirm the correlation seen by other authors between the radio-quiet quasar
X-ray spectral slope and the Eddington ratio, where the X-ray spectral slope
softens as the Eddington ratio increases.


title:
Exact analytical expression for the electromagnetic field in a focused
  laser beam or pulse

abstract:
  We present a new class of exact nonsingular solutions for the Maxwell
equations in vacuum, which describe the electromagnetic field of the
counterpropagating focused laser beams and the subperiod focused laser pulse.
These solutions are derived by the use of a modification of the "complex source
method", investigated and visualized.


title:
Determination of \Omega_\Lambda and H_0 from photometric data of radio
  galaxies

abstract:
  From photometric observations of elliptical galaxies, among which are both
radio galaxies and radio-quiet objects, an investigation was carried out of the
relationship `redshift -- age of the stellar system' $(\Delta z/\Delta t)$. By
means of this relationship cosmological parameters $H(z)$ and $\Omega_\Lambda$
are estimated. Ages of stellar systems are determined within the framework of
evolution models of synthetic spectra PEGASE and GISSEL. This approach can be
considered as time study of objects of the early Universe independent of other
cosmological models. Construction of a pooled sample is described, containing
220 objects from different populations of elliptical galaxies, for which an
analysis of the upper limit of the age of formation of a stellar system was
performed. These data were used to estimate the boundaries of determination of
the cosmological parameters $H_0$ and $\Lambda$--term: $H_0=72\pm10$ and
$\Omega_\Lambda=0.8\pm0.1$ in the model GISSEL and $H_0=53\pm10$, and
$\Omega_\Lambda=0.8\pm0.1$ in the model PEGASE.


title:
The return of the membrane paradigm? Black holes and strings in the
  water tap

abstract:
  Several general arguments indicate that the event horizon behaves as a
stretched membrane. We propose using this relation to understand gravity and
dynamics of black objects in higher dimensions. We provide evidence that (i)
the gravitational Gregory-Laflamme instability has a classical counterpart in
the Rayleigh-Plateau instability of fluids. Each known feature of the
gravitational instability can be accounted for in the fluid model. These
features include threshold mode, dispersion relation, time evolution and
critical dimension of certain phase transitions. Thus, we argue that black
strings break in much the same way as water from a faucet breaks up into small
droplets. (ii) General rotating black holes can also be understood with this
analogy. In particular, instability and bifurcation diagrams for black objects
can easily be inferred. This correspondence can and should be used as a guiding
tool to understand and explore physics of gravity in higher dimensions.


title: The return of the four- and five-dimensional preons

abstract:
  We prove the existence of 3/4-BPS preons in four- and five-dimensional gauged
supergravities by explicitly constructing them as smooth quotients of the AdS_4
and AdS_5 maximally supersymmetric backgrounds, respectively. This result
illustrates how the spacetime topology resurrects a fraction of supersymmetry
previously ruled out by the local analysis of the Killing spinor equations.


title:
A sharper view of the outer Galaxy at 1420 and 408 MHz from the Canadian
  Galactic Plane Survey II: The catalogue of extended radio sources

abstract:
  A new catalogue of extended radio sources has been prepared based on
arcminute-resolution 1420 MHz images from the Canadian Galactic Plane Survey
(CGPS). The new catalogue provides both 1420 MHz and 408 MHz flux density
measurements on sources found near the Galactic plane in the second quadrant of
our Galaxy. In addition cross-identifications are made with other major radio
catalogues and information is provided to facilitate the recovery of CGPS image
data associated with each catalogued source. Numerous new radio sources are
identified and the catalogue provides a comprehensive summary of both newly
discovered and previously known HII regions and supernova remnants in the outer
Galaxy. The catalogue should be of use both for synoptic studies of Galactic
structure and for placing higher resolution observations, at radio and other
wavelengths, in context.


title:
Determining the Magnetic Field Orientation of Coronal Mass Ejections
  from Faraday Rotation

abstract:
  We describe a method to measure the magnetic field orientation of coronal
mass ejections (CMEs) using Faraday rotation (FR). Two basic FR profiles,
Gaussian-shaped with a single polarity or "N"-like with polarity reversals, are
produced by a radio source occulted by a moving flux rope depending on its
orientation. These curves are consistent with the Helios observations,
providing evidence for the flux-rope geometry of CMEs. Many background radio
sources can map CMEs in FR onto the sky. We demonstrate with a simple flux rope
that the magnetic field orientation and helicity of the flux rope can be
determined 2-3 days before it reaches Earth, which is of crucial importance for
space weather forecasting. An FR calculation based on global
magnetohydrodynamic (MHD) simulations of CMEs in a background heliosphere shows
that FR mapping can also resolve a CME geometry curved back to the Sun. We
discuss implementation of the method using data from the Mileura Widefield
Array (MWA).


title:
Role of Dynamical Research in the Detection and Characterization of
  Exoplanets

abstract:
  (Abridged) The discovery of extrasolar planetary systems revealed an
unexpected diversity of planetary systems that has revolutionized planet
formation theory. A strong program of theoretical research is essential to
maximize both the discovery potential and the scientific returns of future
observational programs, so as to achieve a deeper understanding of the
formation and evolution of planetary systems. We outline three broad categories
of theoretical research: detailed studies of specific planetary systems,
testing planet formation models by comparing their predictions to the observed
exoplanet population, and detailed modeling of specific physical processes. We
describe how such theoretical research plays an important role in analyzing
observations for a wide range detection methods and contributes to
understanding the Earth's place in the universe and the potential for
Earth-like life beyond our solar system. In this white paper, we suggest how to
maximize the scientific return of future exoplanet observations. Our
recommendations include a strong theory program, support for multiple
observational programs that will study a diverse set of planets and stars,
significant observing time devoted to follow-up observations, and healthy
collaboration between observers and theorists.


title:
Observation of a quenched moment of inertia in a rotating strongly
  interacting Fermi gas

abstract:
  We make a model-independent measurement of the moment of inertia of a
rotating, expanding strongly-interacting Fermi gas. Quenching of the moment of
inertia is observed for energies both below and above the superfluid
transition. This shows that a strongly interacting Fermi gas with angular
momentum can support irrotational flow in both the superfluid and collisional
normal fluid regimes.


title:
Revisiting the slow dynamics of a silica melt using Monte Carlo
  simulations

abstract:
  We implement a standard Monte Carlo algorithm to study the slow, equilibrium
dynamics of a silica melt in a wide temperature regime, from 6100 K down to
2750 K. We find that the average dynamical behaviour of the system is in
quantitative agreement with results obtained from molecular dynamics
simulations, at least in the long-time regime corresponding to the
alpha-relaxation. By contrast, the strong thermal vibrations related to the
Boson peak present at short times in molecular dynamics are efficiently
suppressed by the Monte Carlo algorithm. This allows us to reconsider silica
dynamics in the context of mode-coupling theory, because several shortcomings
of the theory were previously attributed to thermal vibrations. A mode-coupling
theory analysis of our data is qualitatively correct, but quantitative tests of
the theory fail, raising doubts about the very existence of an avoided
singularity in this system. We discuss the emergence of dynamic heterogeneity
and report detailed measurements of a decoupling between translational
diffusion and structural relaxation, and of a growing four-point dynamic
susceptibility. Dynamic heterogeneity appears to be less pronounced than in
more fragile glass-forming models, but not of a qualitatively different nature.


title: Quantum algorithms for hidden nonlinear structures

abstract:
  Attempts to find new quantum algorithms that outperform classical computation
have focused primarily on the nonabelian hidden subgroup problem, which
generalizes the central problem solved by Shor's factoring algorithm. We
suggest an alternative generalization, namely to problems of finding hidden
nonlinear structures over finite fields. We give examples of two such problems
that can be solved efficiently by a quantum computer, but not by a classical
computer. We also give some positive results on the quantum query complexity of
finding hidden nonlinear structures.


title: Evidence for D0-D0bar Mixing at Babar

abstract:
  We present evidence for D0-D0bar mixing in $D^0 \to K^{+}\pi^{-}$ decays from
384 fb^{-1} of e+e- colliding-beam data recorded near sqrt(s)=10.6 GeV with the
Babar detector at the PEP-II storage rings at SLAC. We find the mixing
parameters ${x^{\prime}}^2 = [-0.22 \pm 0.30 (stat.) \pm 0.21 (syst.)] \times
10^{-3}$ and $y^{\prime} = [9.7 \pm 4.4 (stat.) \pm 3.1 (syst.)] \times
10^{-3}$, and a correlation between them of -0.94. This result is inconsistent
with the no-mixing hypothesis with a significance of 3.9 standard deviations.
We measure $R_{\rm D}$, the ratio of doubly Cabibbo-suppressed to
Cabibbo-favored decay rates, to be $[0.303 \pm 0.016 (stat.) \pm 0.010 (syst.)]
%$. We find no evidence for CP violation.


title: Virtualization: A double-edged sword

abstract:
  Virtualization became recently a hot topic once again, after being dormant
for more than twenty years. In the meantime, it has been almost forgotten, that
virtual machines are not so perfect isolating environments as it seems, when
looking at the principles. These lessons were already learnt earlier when the
first virtualized systems have been exposed to real life usage.
  Contemporary virtualization software enables instant creation and destruction
of virtual machines on a host, live migration from one host to another,
execution history manipulation, etc. These features are very useful in
practice, but also causing headaches among security specialists, especially in
current hostile network environments.
  In the present contribution we discuss the principles, potential benefits and
risks of virtualization in a deja vu perspective, related to previous
experiences with virtualization in the mainframe era.


title: Worst-Case Background Knowledge for Privacy-Preserving Data Publishing

abstract:
  Recent work has shown the necessity of considering an attacker's background
knowledge when reasoning about privacy in data publishing. However, in
practice, the data publisher does not know what background knowledge the
attacker possesses. Thus, it is important to consider the worst-case. In this
paper, we initiate a formal study of worst-case background knowledge. We
propose a language that can express any background knowledge about the data. We
provide a polynomial time algorithm to measure the amount of disclosure of
sensitive information in the worst case, given that the attacker has at most a
specified number of pieces of information in this language. We also provide a
method to efficiently sanitize the data so that the amount of disclosure in the
worst case is less than a specified threshold.


title:
Measurement of the ttbar production cross section in ppbar collisions at
  sqrt{s} = 1.96 TeV using kinematic characteristics of lepton + jets events

abstract:
  We present a measurement of the top quark pair production cross section in
ppbar collisions at sqrt(s)=1.96 TeV utilizing 425 pb-1 of data collected with
the D0 detector at the Fermilab Tevatron Collider. We consider the final state
of the top quark pair containing one high-pT electron or muon and at least four
jets. We exploit specific kinematic features of ttbar events to extract the
cross section. For a top quark mass of 175 GeV, we measure sigma_ttbar = 6.4
+1.3-1.2(stat} +/- 0.7(syst)+/- 0.4(lum) pb in good agreement with the standard
model prediction.


title: Euclidean resonance in a magnetic field

abstract:
  An analogy between Wigner resonant tunneling and tunneling across a static
potential barrier in a static magnetic field is found. Whereas in the process
of Wigner tunneling an electron encounters a classically allowed regions, where
a discrete energy level coincides with its energy, in the magnetic field a
potential barrier is a constant in the direction of tunneling. Along the
tunneling path the certain regions are formed, where, in the classical
language, the kinetic energy of the motion perpendicular to tunneling is
negative. These regions play a role of potential wells, where a discrete energy
level can coincide with the electron energy. Such phenomenon, which occurs at
the certain magnetic field, is called Euclidean resonance and substantially
depends on a shape of potential forces in the direction perpendicular to
tunneling. Under conditions of Euclidean resonance a long distance underbarrier
motion is possible.


title: Log-periodic drift oscillations in self-similar billiards

abstract:
  We study a particle moving at unit speed in a self-similar Lorentz billiard
channel; the latter consists of an infinite sequence of cells which are
identical in shape but growing exponentially in size, from left to right. We
present numerical computation of the drift term in this system and establish
the logarithmic periodicity of the corrections to the average drift.


title:
Global analysis for determining fragmentation functions and their
  uncertainties in light hadrons

abstract:
  Fragmentation functions are determined for the pion, kaon, and proton by
analyzing charged-hadron production data in electron-positron annihilation. It
is important that uncertainties of the determined fragmentation functions are
estimated in this analysis. Analysis results indicate that gluon and
light-quark functions have large uncertainties especially at small Q^2. We find
that next-to-leading-order (NLO) uncertainties are significantly reduced in
comparison with leading-order (LO) ones in the pion and kaon. The fragmentation
functions are very different in various analysis groups. However, all the
recent functions are roughly within the estimated uncertainties, which
indicates that they are consistent with each other. We provide a code for
calculating the fragmentation functions and their uncertainties at a given
kinematical point of z and Q^2 by a user.


title:
The Nature of Linearly Polarized Millimeter and Sub-millimeter Emission
  in Sagittarius A*

abstract:
  The linearly polarized millimeter and sub-millimeter emission in Sagittarius
A* is produced within 10 Schwarzschild radii of the supermassive black hole at
the Galactic Center and may originate from a hot magnetized accretion disk,
where electrons are heated efficiently by turbulent plasma waves. In such a
scenario, the flux density and polarization are very sensitive to the electron
heating rate and the inclination angle of disk, respectively, and the major
axis of the sub-millimeter intrinsic polarization, which is aligned with the
rotation axis of the disk, is perpendicular to the major axis of the polarized
near-infrared emission. In combination with MHD simulations, which study the
properties of the magnetic field and viscous stresses, the current spectral and
polarization measurements give tight constraints on the model parameters.
Simultaneous observations will be able to test the model.


title: Abstract Convexity and Cone-Vexing Abstractions

abstract:
  This talk is a write-up on some origins of abstract convexity and afew vexing
limitations on the range of abstraction in convexity.


title: Relaxation Phenomena in a System of Two Harmonic Oscillators

abstract:
  We study the process by which quantum correlations are created when an
interaction Hamiltonian is repeatedly applied to a system of two harmonic
oscillators for some characteristic time interval. We show that, for the case
where the oscillator frequencies are equal, the initial Maxwell-Boltzmann
distributions of the uncoupled parts evolve to a new equilibrium
Maxwell-Boltzmann distribution through a series of transient Maxwell-Boltzmann
distributions. Further, we discuss why the equilibrium reached when the two
oscillator frequencies are unequal, is not a thermal one. All the calculations
are exact and the results are obtained through an iterative process, without
using perturbation theory.


title:
The comparison of theoretical predictions with measuring data of stellar
  parameters

abstract:
  The Euler equation has been accepted as the basic postulate of stellar
physics long before the plasma physics was developed. The existence of
electrical interaction between particles of interstellar plasma poses the
question, how this interaction must be accounted for. We argue that the right
way is in formulation of a new postulate. On the base of the new postulate, the
theory of a hot star interior is developed. Using this theory we obtain the
distribution of stars over their masses and mass-radius, mass-temperature and
mass-luminosity dependencies. The theory of the apsidal rotation of binary
stars and the spectrum of solar oscillation is considered. All these
theoretical predictions are in a good agreement with the known measurement
data, which confirms the validity of this consideration.


title: Recent Results on non$-D\bar D$ decays of $\psi(3770)$ from BES

abstract:
  BES Collaboration measured the $R$ values at 3.650, 3.6648 and 3.773 GeV, the
$R$ values at 68 energy points in the energy region between 3.650 and 3.872
GeV, the resonance parameters of $\psi(3686)$ and $\psi(3770)$, the branching
fractions for $\psi(3770)\to D^0\bar D^0, D^+D^-, D\bar D$ and non-$D\bar D$,
and the observed cross sections for some exclusive light hadron final states at
3.773 and 3.650 GeV. These measurements are made by analyzing the data sets
collected with the BESII detector at the BEPC collider.


title: Beauty mesons in lattice QCD with exact chiral symmetry

abstract:
  We present the first study of treating b, c, and s quarks as Dirac fermions
in lattice QCD with exact chiral symmetry. For 100 gauge configurations
generated with single-plaquette action at beta = 7.2 on the 32^3 x 60 lattice,
we compute point-to-point quark propagators for 33 quark masses in the range
0.01 < m_q a < 0.85, and measure the time-correlation function of
(pseudo-)scalar, (pseudo-)vector, and tensor mesons, for symmetric and
asymmetric quark masses respectively. The lowest-lying mass spectra of mesons
with quark contents b_bbar, c_bbar, s_bbar, and c_cbar are determined, together
with the pseudoscalar decay constants. Our results are sumarized in Tables 1-5.
Furthermore, we also determine the b and c quark masses in the MS_bar scheme,
m_b = 4.65(5) GeV, and m_c = 1.16(4) GeV.


title: A perturbative approach to a class of Fokker-Planck equations

abstract:
  In this paper we present a direct perturbative method to solving certain
Fokker-Planck equations, which have constant diffusion coefficients and some
small parameters in the drift coefficients. The method makes use of the
connection between the Fokker-Planck and Schr\"odinger equations. Two examples
are used to illustrate the method. In the first example the drift coefficient
depends only on time but not on space. In the second example we consider the
Uhlenbeck-Ornstein process with a small drift coefficient. These examples show
that the such perturbative approach can be a useful tool to obtain approximate
solutions of Fokker-Planck equations with constant diffusion coefficients.


title: Wild ramification and the characteristic cycle of an l-adic sheaf

abstract:
  We propose a geometric method to measure the wild ramification of a smooth
etale sheaf along the boundary. Using the method, we study the graded quotients
of the logarithmic ramification groups of a local field of positive
characteristic with arbitrary residue field. We also define the characteristic
cycle of an l-adic sheaf, satisfying certain conditions, as a cycle on the
logarithmic cotangent bundle and prove that the intersection with the 0-section
computes the characteristic class, and hence the Euler number.
  Definition 2.1.1 is corrected in v2.


title:
Maximal hypoellipticity and Dolbeault cohomology representations for
  U(p,q)

abstract:
  Let Y=G/L be a flag manifold for a reductive G and K a maximal compact
subgroup of G. We define an equivariant differential operator on G/(L cap K)
playing the role of an equivariant Dolbeault Laplacian when restricted to the
complex manifold G/L, using a distribution transverse to the fibers and
satisfying the Hormander condition. We prove here that this operator is not
maximal hypoelliptic when G=U(p,q).


title:
The ATLAS discovery potential for MSSM neutral Higgs bosons decaying to
  a mu+mu- pair in the mass range up to 130 GeV

abstract:
  Results are presented on the discovery potential for MSSM neutral Higgs
bosons in the Mh-{max}scenario. The region of large tan beta, between 15 and
50, and mass between ~ 95 and 130 GeV is considered in the framework of the
ATLAS experiment at the Large Hadron Collider (LHC), for a centre-of-mass
energy = 14 TeV. This parameter region is not fully covered by the present data
either from LEP or from Tevatron. The h/A bosons, supposed to be very close in
mass in that region, are studied in the channel h/A -> mu+mu- accompanied by
two b-jets. The study includes a method to control the most copious background,
Zo -> mu+mu- accompanied by two b-jets. A possible contribution of the H boson
to the signal is also considered.


title: On Asymptotics of $q$-Gamma Functions

abstract:
  In this paper we derive some asymptotic formulas for the $q$-Gamma function
$\Gamma_{q}(z)$ for $q$ tending to 1.


title:
Simulation of Single Reed Instruments Oscillations Based on Modal
  Decomposition of Bore and Reed Dynamics

abstract:
  This paper investigates the sound production in a system made of a bore
coupled with a reed valve. Extending previous work (Debut, 2004), the input
impedance of the bore is projected on the modes of the air column. The acoustic
pressure is therefore calculated as the sum of modal components. The
airrrﬂow blown into the bore is modulated by reed motion, assuming
the reed to be a single degree of freedom oscillator. Calculation of
self-sustained oscillations controlled by time-varying mouth pressure and
player's embouchure parameter is performed using ODE solvers. Results emphasize
the par ticipation of the whole set of components in the mode locking process.
Another impor tant feature is the mutual innnﬂuence of reed and
bore resonance during growing blowing pressure transients, oscillation
threshold being altered by the reed natural frequency and the reed damping.
Steady-state oscillations are also investigated and compared with results given
by harmonic balance method and by digital sound synthesis.


title: Gas and dust spectra of the D' type symbiotic star HD330036

abstract:
  We present a comprehensive and self-consistent modelling of the D' type
symbiotic star (SS) HD330036 from radio to UV. Within a colliding-wind
scenario, we analyse the continuum, line and dust spectra by means of SUMA, a
code that simulates the physical conditions of an emitting gaseous cloud under
the coupled effect of ionization from an external radiation source and shocks.
We find that the UV lines are emitted from high density gas between the stars
downstream of the reverse shock, while the optical lines are emitted downstream
of the shock propagating outwards the system. As regards with the continuum
SED, three shells are identified in the IR, at 850K, 320 K and 200 K with radii
r = 2.8 10^13 cm, 4 10^14$ cm, and 10^15 cm, respectively, adopting a distance
to Earth d=2.3 kpc: interestingly, all these shells appear to be circumbinary.
The analysis of the unexploited ISO-SWS spectrum reveals that both PAHs and
crystalline silicates coexist in HD330036, with PAHs associated to the internal
shell at 850 K, and crystalline silicates stored into the cool shells at 320 K
and 200 K. Strong evidence that crystalline silicates are shaped in a disk-like
structure is derived on the basis of the relative band strengths. Finally, we
suggest that shocks can be a reliable mechanism in activating the annealing and
the consequent crystallization processes. We show that a consistent
interpretation of gas and dust spectra emitted by SS can be obtained by models
which accounts for the coupled effect of the photoionizing flux and of shocks.
The VLTI/MIDI proposal recently accepted by ESO aims to verify and better
constrain some of our results by means of IR interferometric observations.


title:
Observation of room-temperature ferroelectricity in tetragonal strontium
  titanate thin films on SrTiO3 (001) substrates

abstract:
  We investigated the ferroelectric properties of strontium titanate (STO) thin
films deposited on SrTiO3 (001) substrate with SrRuO3 electrodes. The STO layer
was grown coherently on the SrTiO3 substrate without in-plane lattice
relaxation, but its out-of-plane lattice constant increased with a decrease in
the oxygen pressure during deposition. Using piezoresponse force microscopy and
P-V measurements, we showed that our tetragonal STO films possess
room-temperature ferroelectricity. We discuss the possible origins of the
observed ferroelectricity.


title: Polarization observations of SNR G156.2+5.7 at lambda 6cm

abstract:
  G156.2+5.7 is a large supernova remnant (SNR) first discovered in the ROSAT
X-ray survey but radio observations are rare because of its low surface
brightness and large size. Radio continuum and polarization images of the SNR
G156.2+5.7 at lambda 6 cm are presented for the first time to be discussed in
the context with available data to investigate its physical properties. We
obtained an integrated flux density for G156.2+5.7 of S6cm= 2.5+-0.5Jy. The
spectral index of the integrated emission is alpha=-0.48+-0.08 between lambda
74 cm and 6 cm excluding compact radio sources. We also obtained a spectral
index map, which shows little variation between the shells and the central area
of the SNR. This is consistent with the constant integrated flux density
spectrum. Highly polarized radio emission has been detected from the SNR shell,
but also from a central patch, which probably originates in the front part of
the spherical SNR shell. We derived the distribution of rotation measure from
polarization data at 11 cm and 6 cm and found RM gradients of opposite
direction in the SNR shell. The SNR G156.2+5.7 is unusual by its exceptionally
high X-ray brightness and very low surface-brightness in the radio range. The
magnetic field is very well ordered along the shell periphery as expected for a
compressed ambient magnetic field. A toroidal magnetic field component is
indicated by the RM distribution. (abridged)


title:
The poset metrics that allow binary codes of codimension m to be m-,
  (m-1)-, or (m-2)-perfect

abstract:
  A binary poset code of codimension M (of cardinality 2^{N-M}, where N is the
code length) can correct maximum M errors. All possible poset metrics that
allow codes of codimension M to be M-, (M-1)- or (M-2)-perfect are described.
Some general conditions on a poset which guarantee the nonexistence of perfect
poset codes are derived; as examples, we prove the nonexistence of R-perfect
poset codes for some R in the case of the crown poset and in the case of the
union of disjoin chains. Index terms: perfect codes, poset codes


title:
The symbiotic star H1-36. A composite model of line and continuum
  spectra from radio to ultraviolet

abstract:
  In this paper we analyse the spectra of D-type SS H1-36 within a
colliding-wind scenario. We aim to analyse the properties of this object taking
into account the observational data along the whole electromagnetic spectrum,
in order to derive a self-consistent picture able to interpret the nature of
the system as a whole. After constraining the relative physical conditions by
modelling more than 40 emission lines from radio to UV, we are able to explain
the continuum spectral energy distribution by taking into account all the
emitting contributions arising from both the stars, the dust shells and the
gaseous nebulae. A comprehensive model of the radio spectra allows to reproduce
the different slopes of the radio profile and the turnover frequency, as well
as the different size of the observed shocked envelope at different frequencies
in the light of the different contributions from the expanding and reverse
nebulae. The IR continuum unveils the presence of two dust shells with
different radii and temperatures, which might be a distinctive feature of
D-type symbiotic systems as a class of objects. The broad profiles of IR lines
direct us to investigate whether an X-ray jet may be present. This insight
leads us to indicate H1-36 as a promising X-ray target and to encourage
observations and studies which consistently take into account the complex
nature of symbiotic stars throughout the whole electromagnetic spectrum.


title: Thresholds for the Dust Driven Mass Loss from C-rich AGB Stars

abstract:
  It is well established that mass loss from AGB stars due to dust driven winds
cannot be arbitrarily low. We model the mass loss from carbon rich AGB stars
using detailed frequency-dependent radiation hydrodynamics including dust
formation. We present a study of the thresholds for the mass loss rate as a
function of stellar parameters based on a subset of a larger grid of such
models and compare these results to previous observational and theoretical
work. Furthermore, we demonstrate the impact of the pulsation mechanism and
dust formation for the creation of a stellar wind and how it affects these
thresholds and briefly discuss the consequences for stellar evolution.


title: Global Schauder estimates for a class of degenerate Kolmogorov equations

abstract:
  We consider a class of possibly degenerate second order elliptic operators
$\cal
  A$ on $\R^n$. This class includes hypoelliptic
  Ornstein-Uhlenbeck type operators having an additional first order term with
unbounded coefficients. We establish global Schauder estimates in H\"older
spaces both for elliptic equations and for parabolic Cauchy problems involving
${\cal A}$. The H\"older function spaces are defined with respect to a
non-euclidean metric related to the operator $\cal A$.


title: Stability of the splay state in pulse--coupled networks

abstract:
  The stability of the dynamical states characterized by a uniform firing rate
({\it splay states}) is analyzed in a network of globally coupled leaky
integrate-and-fire neurons. This is done by reducing the set of differential
equations to a map that is investigated in the limit of large network size. We
show that the stability of the splay state depends crucially on the ratio
between the pulse--width and the inter-spike interval. More precisely, the
spectrum of Floquet exponents turns out to consist of three components: (i) one
that coincides with the predictions of the mean-field analysis [Abbott-van
Vreesvijk, 1993]; (ii) a component measuring the instability of
"finite-frequency" modes; (iii) a number of "isolated" eigenvalues that are
connected to the characteristics of the single pulse and may give rise to
strong instabilities (the Floquet exponent being proportional to the network
size). Finally, as a side result, we find that the splay state can be stable
even for inhibitory coupling.


title:
The role of hydrostatic stress in determining the bandgap of InN
  epilayers

abstract:
  We establish a correlation between the internal stress in InN epilayers and
their optical properties such as the measured absorption band edge and
photoluminescence emission wavelength. By a careful evaluation of the lattice
constants of InN epilayers grown on c-plane sapphire substrates under various
conditions by metalorganic vapor phase epitaxy we find that the films are under
primarily hydrostatic stress. This results in a shift in the band edge to
higher energy. The effect is significant, and may be responsible for some of
the variations in InN bandgap reported in the literature.


title:
Theory of anomalous diffusive reaction rates on realistic self-affine
  fractals

abstract:
  In this letter, a theoretical method for the analysis of diffusive
flux/current to limited scale self-affine random fractals is presented and
compared with experimentally measured electrochemical current for such
roughness. The theory explains the several experimental findings of the
temporal scale invariance as well as deviation from this of current transients
in terms of three dominant fractal parameters for the limited-length scales of
roughness. This theoretical method is based on limited scale power-law
characterization of the interfacial roughness spectrum and the solution of
diffusion equation under the diffusion-limited boundary conditions on rough
interfaces. More broadly, these calculations challenges the earlier belief that
the anomalous behavior is solely dependent on fractal dimension of roughness
and highlight the potential to apply this equation for the scale invariant
roughness determination. Finally, the validity of theoretical result is tested
with extensive experimental data.


title: A self-sustaining nonlinear dynamo process in Keplerian shear flows

abstract:
  A three-dimensional nonlinear dynamo process is identified in rotating plane
Couette flow in the Keplerian regime. It is analogous to the hydrodynamic
self-sustaining process in non-rotating shear flows and relies on the
magneto-rotational instability of a toroidal magnetic field. Steady nonlinear
solutions are computed numerically for a wide range of magnetic Reynolds
numbers but are restricted to low Reynolds numbers. This process may be
important to explain the sustenance of coherent fields and turbulent motions in
Keplerian accretion disks, where all its basic ingredients are present.


title: Random-phase reservoir and a quantum resistor: The Lloyd model

abstract:
  We introduce phase disorder in a 1D quantum resistor through the formal
device of `fake channels' distributed uniformly over its length such that the
out-coupled wave amplitude is re-injected back into the system, but with a
phase which is random. The associated scattering problem is treated via
invariant imbedding in the continuum limit, and the resulting transport
equation is found to correspond exactly to the Lloyd model. The latter has been
a subject of much interest in recent years. This conversion of the random phase
into the random Cauchy potential is a notable feature of our work. It is
further argued that our phase-randomizing reservoir, as distinct from the well
known phase-breaking reservoirs, induces no decoherence, but essentially
destroys all interference effects other than the coherent back scattering.


title: Viable flux distribution in metabolic networks

abstract:
  The metabolic networks are very well characterized for a large set of
organisms, a unique case in within the large-scale biological networks. For
this reason they provide a a very interesting framework for the construction of
analytically tractable statistical mechanics models.
  In this paper we introduce a solvable model for the distribution of fluxes in
the metabolic network. We show that the effect of the topology on the
distribution of fluxes is to allow for large fluctuations of their values, a
fact that should have implications on the robustness of the system.


title: Decoding of scroll codes

abstract:
  We define and study a class of codes obtained from scrolls over curves of any
genus over finite fields. These codes generalize Goppa codes in a natural way,
and the orthogonal complements of these codes belong to the same class. We show
how syndromes of error vectors correspond to certain vector bundle extensions,
and how decoding is associated to finding destabilizing subbundles.


title: Quantum Theory of Flicker Noise in Metal Films

abstract:
  Flicker (1/f^gamma) voltage noise spectrum is derived from finite-temperature
quantum electromagnetic fluctuations produced by elementary charge carriers in
external electric field. It is suggested that deviations of the frequency
exponent \gamma from unity, observed in thin metal films, can be attributed to
quantum backreaction of the conducting medium on the fluctuating field of the
charge carrier. This backreaction is described phenomenologically in terms of
the effective momentum space dimensionality, D. Using the dimensional
continuation technique, it is shown that the combined action of the photon heat
bath and external field results in a 1/f^gamma-contribution to the spectral
density of the two-point correlation function of electromagnetic field. The
frequency exponent is found to be equal to 1 + delta, where delta = 3 - D is a
reduction of the momentum space dimensionality. This result is applied to the
case of a biased conducting sample, and a general expression for the voltage
power spectrum is obtained which possesses all characteristic properties of
observed flicker noise spectra. The range of validity of this expression covers
well the whole measured frequency band. Gauge independence of the power
spectrum is proved. It is shown that the obtained results naturally resolve the
problem of divergence of the total noise power. A detailed comparison with the
experimental data on flicker noise measurements in metal films is given.


title: An Autonomous Distributed Admission Control Scheme for IEEE 802.11 DCF

abstract:
  Admission control as a mechanism for providing QoS requires an accurate
description of the requested flow as well as already admitted flows. Since
802.11 WLAN capacity is shared between flows belonging to all stations,
admission control requires knowledge of all flows in the WLAN. Further,
estimation of the load-dependent WLAN capacity through analytical model
requires inputs about channel data rate, payload size and the number of
stations. These factors combined point to a centralized admission control
whereas for 802.11 DCF it is ideally performed in a distributed manner. The use
of measurements from the channel avoids explicit inputs about the state of the
channel described above. BUFFET, a model based measurement-assisted distributed
admission control scheme for DCF proposed in this paper relies on measurements
to derive model inputs and predict WLAN saturation, thereby maintaining average
delay within acceptable limits. Being measurement based, it adapts to a
combination of data rates and payload sizes, making it completely autonomous
and distributed. Performance analysis using OPNET simulations suggests that
BUFFET is able to ensure average delay under 7ms at a near-optimal throughput.


title:
Entropy Oriented Trading: A Trading Strategy Based on the Second Law of
  Thermodynamics

abstract:
  The author proposes a finance trading strategy named Entropy Oriented Trading
and apply thermodynamics on the strategy. The state variables are chosen so
that the strategy satisfies the second law of thermodynamics. Using the law,
the author proves that the rate of investment (ROI) of the strategy is equal to
or more than the rate of price change.


title: Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8

abstract:
  A spinel related oxide, Na4Ir3O8, was found to have a three dimensional
network of corner shared Ir4+ (t2g^5) triangles. This gives rise to an
antiferromagnetically coupled S = 1/2 spin system formed on a geometrically
frustrated hyperkagome lattice. Magnetization M and magnetic specific heat Cm
data showed the absence of long range magnetic ordering at least down to 2 K.
The large Cm at low temperatures is independent of applied magnetic field up to
12 T, in striking parallel to the behavior seen in triangular and kagome
antiferromagnets reported to have a spin-liquid ground state. These results
strongly suggest that the ground state of Na4Ir3O8 is a three dimensional
manifestation of a spin liquid.


title:
Homogenized spectral problems for exactly solvable operators:
  asymptotics of polynomial eigenfunctions

abstract:
  Consider a homogenized spectral pencil of exactly solvable linear
differential operators $T_{\la}=\sum_{i=0}^k Q_{i}(z)\la^{k-i}\frac
{d^i}{dz^i}$, where each $Q_{i}(z)$ is a polynomial of degree at most $i$ and
$\la$ is the spectral parameter. We show that under mild nondegeneracy
assumptions for all sufficiently large positive integers $n$ there exist
exactly $k$ distinct values $\la_{n,j}$, $1\le j\le k$, of the spectral
parameter $\la$ such that the operator $T_{\la}$ has a polynomial eigenfunction
$p_{n,j}(z)$ of degree $n$. These eigenfunctions split into $k$ different
families according to the asymptotic behavior of their eigenvalues. We
conjecture and prove sequential versions of three fundamental properties: the
limits $\Psi_{j}(z)=\lim_{n\to\infty} \frac{p_{n,j}'(z)}{\la_{n,j}p_{n,j}(z)}$
exist, are analytic and satisfy the algebraic equation $\sum_{i=0}^k Q_{i}(z)
\Psi_{j}^i(z)=0$ almost everywhere in $\bCP$. As a consequence we obtain a
class of algebraic functions possessing a branch near $\infty\in \bCP$ which is
representable as the Cauchy transform of a compactly supported probability
measure.


title: Cohomology of affine Artin groups and applications

abstract:
  The result of this paper is the determination of the cohomology of Artin
groups of type A_n, B_n and \tilde{A}_{n} with non-trivial local coefficients.
The main result is an explicit computation of the cohomology of the Artin group
of type B_n with coefficients over the module \Q[q^{\pm 1},t^{\pm 1}]. Here the
first (n-1) standard generators of the group act by (-q)-multiplication, while
the last one acts by (-t)-multiplication. The proof uses some technical results
from previous papers plus computations over a suitable spectral sequence. The
remaining cases follow from an application of Shapiro's lemma, by considering
some well-known inclusions: we obtain the rational cohomology of the Artin
group of affine type \tilde{A}_{n} as well as the cohomology of the classical
braid group {Br}_{n} with coefficients in the n-dimensional representation
presented in \cite{tong}. The topological counterpart is the explicit
construction of finite CW-complexes endowed with a free action of the Artin
groups, which are known to be K(\pi,1) spaces in some cases (including finite
type groups). Particularly simple formulas for the Euler-characteristic of
these orbit spaces are derived.


title:
Sinc Approximation of the Heat Distribution on the Boundary of a
  Two-Dimensional Finite Slab

abstract:
  We consider the two-dimensional problem of recovering globally in time the
heat distribution on the surface of a layer inside of a heat conducting body
from two interior temperature measurements. The problem is ill-posed. The
approximation function is represented by a two-dimensional Sinc series and the
error estimate is given.


title:
Laguerre polynomials and the inverse Laplace transform using discrete
  data

abstract:
  We consider the problem of finding a function defined on $(0,\infty)$ from a
countable set of values of its Laplace transform. The problem is severely
ill-posed. We shall use the expansion of the function in a series of Laguerre
polynomials to convert the problem in an analytic interpolation problem. Then,
using the coefficients of Lagrange polynomials we shall construct a stable
approximation solution.


title: Granular instability in a vibrated U tube

abstract:
  We study experimentally the collective motion of grains inside a U shaped
tube undergoing vertical oscillations, and we develop a very simple
quantitative model that captures relevant features of the observed behaviour.
The height difference between the granular columns grows with time when the
system is shaken at sufficiently low frequencies. The system exhibits two types
of growth: exponentially divergent (type I) and exponentially saturating (type
II), depending on the size of the grains. The type I growth can be quenched by
removing the air whereas the type II behavior can occur in the absence of air.
There is a good agreement between the model proposed and our experimental
results.


title: Bond breaking with auxiliary-field quantum Monte Carlo

abstract:
  Bond stretching mimics different levels of electron correlation and provides
a challenging testbed for approximate many-body computational methods. Using
the recently developed phaseless auxiliary-field quantum Monte Carlo (AF QMC)
method, we examine bond stretching in the well-studied molecules BH and N$_2$,
and in the H$_{50}$ chain. To control the sign/phase problem, the phaseless AF
QMC method constrains the paths in the auxiliary-field path integrals with an
approximate phase condition that depends on a trial wave function. With single
Slater determinants from unrestricted Hartree-Fock (UHF) as trial wave
function, the phaseless AF QMC method generally gives better overall accuracy
and a more uniform behavior than the coupled cluster CCSD(T) method in mapping
the potential-energy curve. In both BH and N$_2$, we also study the use of
multiple-determinant trial wave functions from multi-configuration
self-consistent-field (MCSCF) calculations. The increase in computational cost
versus the gain in statistical and systematic accuracy are examined. With such
trial wave functions, excellent results are obtained across the entire region
between equilibrium and the dissociation limit.


title: The contact invariant in sutured Floer homology

abstract:
  We describe an invariant of a contact 3-manifold with convex boundary as an
element of Juh\'asz's sutured Floer homology. Our invariant generalizes the
contact invariant in Heegaard Floer homology in the closed case, due to
Ozsv\'ath and Szab\'o.
  This version has some clarifications and new figures.


title:
Integrable discrete Schrodinger equations and a characterization of Prym
  varieties by a pair of quadrisecants

abstract:
  We prove that Prym varieties are characterized geometrically by the existence
of a symmetric pair of quadrisecant planes of the associated Kummer variety. We
also show that Prym varieties are characterized by certain (new)
theta-functional equations. For this purpose we construct and study a
difference-differential analog of the Novikov-Veselov hierarchy.


title:
The K(\pi, 1) problem for the affine Artin group of type \widetilde{B}_n
  and its cohomology

abstract:
  In this paper we prove that the complement to the affine complex arrangement
of type \widetilde{B}_n is a K(\pi, 1) space. We also compute the cohomology of
the affine Artin group G of type \widetilde{B}_n with coefficients over several
interesting local systems. In particular, we consider the module Q[q^{\pm 1},
t^{\pm 1}], where the first n-standard generators of G act by
(-q)-multiplication while the last generator acts by (-t)-multiplication. Such
representation generalizes the analog 1-parameter representation related to the
bundle structure over the complement to the discriminant hypersurface, endowed
with the monodromy action of the associated Milnor fibre. The cohomology of G
with trivial coefficients is derived from the previous one.


title:
Multiwavelength study of massive galaxies at z~2. I. Star formation and
  galaxy growth

abstract:
  Examining a sample of massive galaxies at 1.4<z<2.5 with K_{Vega}<22 from the
Great Observatories Origins Deep Survey, we compare photometry from Spitzer at
mid- and far-IR, to submillimeter, radio and rest-frame ultraviolet
wavelengths, to test the agreement between different tracers of star formation
rates (SFRs) and to explore the implications for galaxy assembly. For z~2
galaxies with moderate luminosities(L_{8um}<10^{11}L_sun), we find that the SFR
can be estimated consistently from the multiwavelength data based on local
luminosity correlations. However,20--30% of massive galaxies, and nearly all
those with L_{8um}>10^{11}L_sun, show a mid-IR excess which is likely due to
the presence of obscured active nuclei, as shown in a companion paper. There is
a tight and roughly linear correlation between stellar mass and SFR for
24um-detected galaxies. For a given mass, the SFR at z=2 was larger by a factor
of ~4 and ~30 relative to that in star forming galaxies at z=1 and z=0,
respectively. Typical ultraluminous infrared galaxies (ULIRGs) at z=2 are
relatively 'transparent' to ultraviolet light, and their activity is long lived
(~400 Myr), unlike that in local ULIRGs and high redshift
submillimeter-selected galaxies. ULIRGs are the common mode of star formation
in massive galaxies at z=2, and the high duty cycle suggests that major mergers
are not the dominant trigger for this activity.Current galaxy formation models
underpredict the normalization of the mass-SFR correlation by about a factor of
4, and the space density of ULIRGs by an orderof magnitude, but give better
agreement for z>1.4 quiescent galaxies.


title:
Multiwavelength study of massive galaxies at z~2. II. Widespread Compton
  thick AGN and the concurrent growth of black holes and bulges

abstract:
  Approximately 20-30% of 1.4<z<2.5 galaxies with K<22 (Vega) detected with
Spitzer MIPS at 24um show excess mid-IR emission relative to that expected
based on the rates of star formation measured from other multiwavelength
data.These galaxies also display some near-IR excess in Spitzer IRAC data, with
a spectral energy distribution peaking longward of 1.6um in the rest frame,
indicating the presence of warm-dust emission usually absent in star forming
galaxies. Stacking Chandra data for the mid-IR excess galaxies yields a
significant hard X-ray detection at rest-frame energies >6.2 keV. The stacked
X-ray spectrum rises steeply at >10 keV, suggesting that these sources host
Compton-thick Active Galactic Nuclei (AGNs) with column densities N_H~10^{24}
cm^-2 and an average, unobscured X-ray luminosity L_{2-8 keV}~(1-4)x10^43
erg/s. Their sky density(~3200 deg^-2) and space density (~2.6x10^-4 Mpc^-3)
are twice those of X-ray detected AGNs at z~2, and much larger than those of
previously-known Compton thick sources at similar redshifts. The mid-IR excess
galaxies are part of the long sought-after population of distant heavily
obscured AGNs predicted by synthesis models of the X-ray background. The
fraction of mid-IR excess objects increases with galaxy mass, reaching ~50-60%
for M~10^11 M_sun, an effect likely connected with downsizing in galaxy
formation. The ratio of theinferred black hole growth rate from these
Compton-thick sources to the global star formation rate at z=2 is similar to
the mass ratio of black holes to stars inlocal spheroids, implying concurrent
growth of both within the precursors oftoday's massive galaxies.


title: Optical Solitons in an Anisotropic Medium with Arbitrary Dipole Moments

abstract:
  We find the Lax pair for a system of reduced Maxwell-Bloch equations that
describes the propagation of two-component extremely short electromagnetic
pulses through the medium containing two-level quantum particles with arbitrary
dipole moments.


title:
Dual Field Theories In (d-1)+1 Emergent Spacetimes From A Unifying Field
  Theory In d+2 Spacetime

abstract:
  According to Two-Time Physics, there is more to space-time than can be
garnered with the ordinary formulation of physics. Two-Time Physics has shown
that the Standard Model of Particles and Forces is successfully reproduced by a
two-time field theory in 4 space and 2 time dimensions projected as a
holographic image on an emergent spacetime in 3+1 dimensions. Among the
successes of this approach is the resolution of the strong CP problem of QCD as
an outcome of the restrictions imposed by the higher symmetry structures in 4+2
dimensions. In this paper we launch a program to construct the duals of the
Standard Model as other holographic images of the same 4+2 dimensional theory
on a variety of emergent spacetimes in 3+1 dimensions. These dual field
theories are obtained as a family of gauge choices in the master 4+2 field
theory. In the present paper we deal with some of the simpler gauge choices
which lead to interacting Klein-Gordon field theories for the conformal scalar
with a predicted SO(d,2) symmetry in a variety of interesting curved spacetimes
in (d-1)+1 dimensions. More challenging and more interesting gauge choices
(including some that relate to mass) which are left to future work are also
outlined. Through this approach we discover a new realm of previously
unexplored dualities and hidden symmetries that exist both in the macroscopic
and microscopic worlds, at the classical and quantum levels. Such phenomena
predicted by 2T-physics can in principle be confirmed both by theory and
experiment. 1T-physics can be used to analyze the predictions but in most
instances gives no clue that the predicted phenomena exist in the first place.
This point of view suggests a new paradigm for the construction of a
fundamental theory that is likely to impact on the quest for unification.


title:
Voronoi Diagram of Polygonal Chains under the Discrete Fr\'echet
  Distance

abstract:
  Polygonal chains are fundamental objects in many applications like pattern
recognition and protein structure alignment. A well-known measure to
characterize the similarity of two polygonal chains is the famous Fr\`{e}chet
distance. In this paper, for the first time, we consider the Voronoi diagram of
polygonal chains in $d$-dimension ($d=2,3$) under the discrete Fr\`{e}chet
distance. Given $n$ polygonal chains ${\cal C}$ in $d$-dimension ($d=2,3$),
each with at most $k$ vertices, we prove fundamental properties of such a
Voronoi diagram {\em VD}$_F({\cal C})$ by presenting the first known upper and
lower bounds for {\em VD}$_F({\cal C})$.


title: Atmospheric dynamics of Pegasi planets

abstract:
  We present three-dimensional numerical simulations of the atmospheric
dynamics of close-orbiting planets such as HD209458b. Our simulations show that
winds of several km/sec and day-night temperature differences reaching 500-1000
K are possible at and above the photosphere. The circulation takes the form of
a broad superrotating (eastward) equatorial jet. At 0.1-1 bar, the
superrotation blows the hottest regions of the atmosphere downwind by 60
degrees of longitude, but at lower pressures the temperature pattern tracks the
stellar illumination. We predict factors of several variation in the infrared
flux received at Earth throughout an orbital cycle; if the photosphere is deep
enough (>50-100 mbar pressure), the peak infrared emission should lead the time
of secondary eclipse by 10 hours or more. Dynamics plays a key role in shaping
the spectrum, clouds, chemistry, and long-term planetary evolution.


title:
Beats of the Magnetocapacitance Oscillations in Lateral Semiconductor
  Superlattices

abstract:
  We present calculations on the magnetocapacitance of the two-dimensional
electron gas in a lateral semiconductor superlattice under two-dimensional weak
periodic potential modulation in the presence of a perpendicular magnetic
field. Adopting a Gaussian broadening of magnetic-field-dependent width in the
density of states, we present explicit and simple expressions for the
magnetocapacitance, valid for the relevant weak magnetic fields and modulation
strengths. As the modulation strength in both directions increase, beats of the
magnetocapacitance oscillations are observed, in the low magnetic field range
(Weiss-oscillations regime), which are absent in the one-dimensional weak
modulation case.


title: Coexistence of Weak and Strong Wave Turbulence in a Swell Propagation

abstract:
  By performing two parallel numerical experiments -- solving the dynamical
Hamiltonian equations and solving the Hasselmann kinetic equation -- we
examined the applicability of the theory of weak turbulence to the description
of the time evolution of an ensemble of free surface waves (a swell) on deep
water. We observed qualitative coincidence of the results.
  To achieve quantitative coincidence, we augmented the kinetic equation by an
empirical dissipation term modelling the strongly nonlinear process of
white-capping. Fitting the two experiments, we determined the dissipation
function due to wave breaking and found that it depends very sharply on the
parameter of nonlinearity (the surface steepness). The onset of white-capping
can be compared to a second-order phase transition. This result corroborates
with experimental observations by Banner, Babanin, Young.


title:
Three-dimensional instability of two nonlinearly coupled electromagnetic
  waves in a plasma

abstract:
  The three-dimensional instability of two coupled electromagnetic waves in an
unmagnetized plasma is investigated theoretically and numerically. In the
regime of two-plasmon decay, where one pump wave frequency is approximately
twice the electron plasma frequency, we find that the coupled pump waves give
rise to enhanced instability with wave vectors between those of the two beams.
In the case of ion parametric decay instability, where the pump wave decays
into one Langmuir wave and one ion acoustic wave, the instability regions are
added with no distinct amplification. Our investigation can be useful in
interpreting laser-plasma as well as ionospheric heating experiments.


title: Dependence of hillslope moisture content on downhill saturation

abstract:
  We derive steady equilibria for lateral downslope moisture flow in an
idealized thin closed layer as a solution to the 1D Richards' Equation. The
equilibria are determined by two free parameters: the downslope flux and a
boundary condition. Solutions exhibit a constant downslope flow speed and
moisture content for the constant equilibrium flux, which is the product of the
two. However where an isolated zone of fixed saturation degree exists
representing a boundary condition, the flow speed immediately upslope is
reduced and the moisture content correspondingly increased to preserve the
constant equilibrium flux. The capillary head jump at the saturated zone
produces a blockage that gives a high moisture content back upslope through a
pooling distance determined by the equilibrium condition that the downslope
flux is constant. In our numerical integrations, the vertically projected
pooling height is more than 10 km for a fully saturated zone in mixed silty or
clay soils, but decreases by about an order of magnitude with every 10%
decrease in the boundary-zone saturation degree. The drying of downhill
saturated zones with the increased speed of mountain moisture outflow and
corresponding decreased mountain moisture content gives a viable explanation
for the mysterious ~69% unaccounted drop seen in the spring outflow in the La
Luz / Fresnal Watershed at Alamogordo's upstream spring-box diversions in the
semiarid southeastern New Mexico USA.


title: Husimi-Wigner representation of chaotic eigenstates

abstract:
  Just as a coherent state may be considered as a quantum point, its
restriction to a factor space of the full Hilbert space can be interpreted as a
quantum plane. The overlap of such a factor coherent state with a full pure
state is akin to a quantum section. It defines a reduced pure state in the
cofactor Hilbert space. The collection of all the Wigner functions
corresponding to a full set of parallel quantum sections defines the
Husimi-Wigner reresentation. It occupies an intermediate ground between drastic
suppression of nonclassical features, characteristic of Husimi functions, and
the daunting complexity of higher dimensional Wigner functions. After analysing
these features for simpler states, we exploit this new representation as a
probe of numerically computed eigenstates of chaotic Hamiltonians. The
individual two-dimensional Wigner functions resemble those of semiclassically
quantized states, but the regular ring pattern is broken by dislocations.


title: The design of a very high-Q superconductor electromechanical clock

abstract:
  We discuss theoretically the properties of an electromechanical oscillator
whose operation is based upon the cyclic, quasi-conservative conversion between
gravitational potential, kinetic, and magnetic energies. The system consists of
a strong-pinning type-II superconductor square loop subjected to a constant
external force and to magnetic fields. The loop oscillates in the upright
position at a frequency that can be tuned in the range 10-1000 Hz, and has
induced in it a rectified electrical current. The emphasis of this paper is on
the evaluation of the major remaining source of losses in the oscillations. We
argue that such losses should be associated with the viscous vibration of
pinned flux lines in the superconductor Nb-Ti wire, provided the oscillator is
kept close to zero Kelvin, under high-vacuum, and the magnetic field is
sufficiently uniform. We discuss how other different sources of loss would
become negligible for such operational conditions, so that a very high quality
factor Q exceeding 10^(10) might in principle be reached by the oscillator. The
prospective utilization of such oscillator as a low-frequency high-Q clock is
analyzed.Since publication the ideas in this paper have been explored both by
the author and elsewhere, in applications covering Metrology, quantum systems,
and gravimetry.


title: Realism violates quantum mechanics

abstract:
  Recently, [{arXiv:0810.3134}] is accepted and published. We show that local
realistic theories violate separability of $N$-qubit quantum states by a factor
of $3^N$. Thus we have a violation factor of 3 when N=1. Realistic theories
violate a proposition of a single qubit (a state with two-dimensional space)
system, the Bloch sphere machinery of quantum mechanics. Our method uses the
ratio of each of the scalar products. The maximal possible value of the scalar
product in local realistic theories grows exponentially larger than one in
$N$-qubit separable states when the number of qubits increases. We find the
violation factor $3^N$ when the measurement setup is entire range of settings
for each of the local observers.


title: A review of integrable deformations in AdS/CFT

abstract:
  Marginal beta deformations of N=4 super-Yang-Mills theory are known to
correspond to a certain class of deformations of the S^5 background subspace of
type IIB string theory in AdS_5 x S^5. An analogous set of deformations of the
AdS_5 subspace is reviewed here. String energy spectra computed in the
near-pp-wave limit of these backgrounds match predictions encoded by discrete,
asymptotic Bethe equations, suggesting that the twisted string theory is
classically integrable in this regime. These Bethe equations can be derived
algorithmically by relying on the existence of Lax representations, and on the
Riemann-Hilbert interpretation of the thermodynamic Bethe ansatz. This letter
is a review of a seminar given at the Institute for Advanced Study, based on
research completed in collaboration with McLoughlin.


title:
Micropillar resonator in a magnetic field: Zero and Finite temperature
  cases

abstract:
  In this work, we present a theoretical study of a quantum dot-microcavity
system which includes a constant magnetic field in the growth direction of the
micropillar. First, we study the zero temperature case by means of a
selfconsistent procedure with a trial function composed by a coherent photon
field and a BCS function for the electron-hole pairs. The dependence of the
ground-state energy on the magnetic field and the number of polaritons is
found. We show that the magnetic field can be used as a control parameter of
the photon number, and we make explicit the scaling of the total energy with
the number of polaritons. Next, we study this problem at finite temperatures
and obtain the scaling of the critical temperature with the number of
polaritons.


title: Dynamical 3-Space: Alternative Explanation of the `Dark Matter Ring'

abstract:
  NASA has claimed the discovery of a `Ring of Dark Matter' in the galaxy
cluster CL 0024+17, see Jee M.J. et al. arXiv:0705.2171, based upon
gravitational lensing data. Here we show that the lensing can be given an
alternative explanation that does not involve `dark matter'. This explanation
comes from the new dynamics of 3-space. This dynamics involves two constant G
and alpha - the fine structure constant. This dynamics has explained the bore
hole anomaly, spiral galaxy flat rotation speeds, the masses of black holes in
spherical galaxies, gravitational light bending and lensing, all without
invoking `dark matter', and also the supernova redshift data without the need
for `dark energy'.


title: Capacity of Sparse Multipath Channels in the Ultra-Wideband Regime

abstract:
  This paper studies the ergodic capacity of time- and frequency-selective
multipath fading channels in the ultrawideband (UWB) regime when training
signals are used for channel estimation at the receiver. Motivated by recent
measurement results on UWB channels, we propose a model for sparse multipath
channels. A key implication of sparsity is that the independent degrees of
freedom (DoF) in the channel scale sub-linearly with the signal space dimension
(product of signaling duration and bandwidth). Sparsity is captured by the
number of resolvable paths in delay and Doppler. Our analysis is based on a
training and communication scheme that employs signaling over orthogonal
short-time Fourier (STF) basis functions. STF signaling naturally relates
sparsity in delay-Doppler to coherence in time-frequency. We study the impact
of multipath sparsity on two fundamental metrics of spectral efficiency in the
wideband/low-SNR limit introduced by Verdu: first- and second-order optimality
conditions. Recent results by Zheng et. al. have underscored the large gap in
spectral efficiency between coherent and non-coherent extremes and the
importance of channel learning in bridging the gap. Building on these results,
our results lead to the following implications of multipath sparsity: 1) The
coherence requirements are shared in both time and frequency, thereby
significantly relaxing the required scaling in coherence time with SNR; 2)
Sparse multipath channels are asymptotically coherent -- for a given but large
bandwidth, the channel can be learned perfectly and the coherence requirements
for first- and second-order optimality met through sufficiently large signaling
duration; and 3) The requirement of peaky signals in attaining capacity is
eliminated or relaxed in sparse environments.


title:
Non-Coherent Capacity and Reliability of Sparse Multipath Channels in
  the Wideband Regime

abstract:
  In contrast to the prevalent assumption of rich multipath in information
theoretic analysis of wireless channels, physical channels exhibit sparse
multipath, especially at large bandwidths. We propose a model for sparse
multipath fading channels and present results on the impact of sparsity on
non-coherent capacity and reliability in the wideband regime. A key implication
of sparsity is that the statistically independent degrees of freedom in the
channel, that represent the delay-Doppler diversity afforded by multipath,
scale at a sub-linear rate with the signal space dimension (time-bandwidth
product). Our analysis is based on a training-based communication scheme that
uses short-time Fourier (STF) signaling waveforms. Sparsity in delay-Doppler
manifests itself as time-frequency coherence in the STF domain. From a capacity
perspective, sparse channels are asymptotically coherent: the gap between
coherent and non-coherent extremes vanishes in the limit of large signal space
dimension without the need for peaky signaling. From a reliability viewpoint,
there is a fundamental tradeoff between channel diversity and learnability that
can be optimized to maximize the error exponent at any rate by appropriately
choosing the signaling duration as a function of bandwidth.


title:
Local Existence for Nonlinear Wave Equation with Radial Data in 2+1
  Dimensions

abstract:
  We get a local existence result in $H^s$ with $s>3/2$ for second order
quasilinear wave equation with radial initial data in 2+1 dimensions, based on
an improvement of Strichartz estimate in the radial case. Moreover, we get the
corresponding local well-posed result for semilinear wave equation. The
required index of regularity here is 1/4 less than the index 7/4, which is
essentially sharp in general.


title: Boltzmann Entropy : Probability and Information

abstract:
  We have presented first an axiomatic derivation of Boltzmann entropy on the
basis of two axioms consistent with two basic properties of thermodynamic
entropy. We have then studied the relationship between Boltzmann entropy and
information along with its physical significance.


title:
Effective Search Templates for a Primordial Stochastic Gravitational
  Wave Background

abstract:
  We calculate the signal-to-noise ratio (SNR) of the stochastic
gravitational-wave background in an extreme case that its spectrum has a sharp
falloff with its amplitude close to the detection threshold. Such a spectral
feature is a characteristic imprint of the change in the number of relativistic
degrees of freedom on the stochastic background generated during inflation in
the early Universe. We find that, although SNR is maximal with the correct
template which is proportional to the assumed real spectrum, its sensitivity to
the shape of template is fairly weak indicating that a simple power-law
template is sufficient to detect the signature.


title:
Global polarization of QGP in non-central heavy ion collisions at high
  energies

abstract:
  Due to the presence of a large orbital angular momentum of the parton system
produced at the early stage of non-central heavy-ion collisions, quarks and
anti-quarks are shown to be polarized in the direction opposite to the reaction
plane which is determined by the impact-parameter and the beam momentum. The
global quark polarization via elastic scattering was first calculated in an
effective static potential model, then using QCD at finite temperature with the
hard-thermal-loop re-summed gluon propagator. The measurable consequences are
discussed. Global hyperon polarization from the hadronization of polarized
quarks are predicted independent of the hadronization scenarios. It has also
been shown that the global polarization of quarks and anti-quarks leads also to
spin alignment of vector mesons. Dedicated measurements at RHIC are underway
and some of the preliminary results are obtained. In this presentation, the
basic idea and main results of global quark polarization are presented. The
direct consequences such as global hyperon polarization and spin alignment are
summarized.


title: Cosmological Constraints on Isocurvature and Tensor Perturbations

abstract:
  We investigate cosmological constraints on primordial isocurvature and tensor
perturbations, using recent observations of the cosmic microwave background and
the large scale structure. We find that present observations are consistent
with purely adiabatic initial conditions for the structure formation under any
priors on correlations of isocurvature modes, and upper limits on the
contribution of isocurvature and tensor perturbations are presented. We also
apply the obtained constraints to some specific theoretical models, axion
isocurvature perturbation models and curvaton models, and give some
implications for theoretical models.


title:
Scanning and Sequential Decision Making for Multi-Dimensional Data -
  Part II: the Noisy Case

abstract:
  We consider the problem of sequential decision making on random fields
corrupted by noise. In this scenario, the decision maker observes a noisy
version of the data, yet judged with respect to the clean data. In particular,
we first consider the problem of sequentially scanning and filtering noisy
random fields. In this case, the sequential filter is given the freedom to
choose the path over which it traverses the random field (e.g., noisy image or
video sequence), thus it is natural to ask what is the best achievable
performance and how sensitive this performance is to the choice of the scan. We
formally define the problem of scanning and filtering, derive a bound on the
best achievable performance and quantify the excess loss occurring when
non-optimal scanners are used, compared to optimal scanning and filtering.
  We then discuss the problem of sequential scanning and prediction of noisy
random fields. This setting is a natural model for applications such as
restoration and coding of noisy images. We formally define the problem of
scanning and prediction of a noisy multidimensional array and relate the
optimal performance to the clean scandictability defined by Merhav and
Weissman. Moreover, bounds on the excess loss due to sub-optimal scans are
derived, and a universal prediction algorithm is suggested.
  This paper is the second part of a two-part paper. The first paper dealt with
sequential decision making on noiseless data arrays, namely, when the decision
maker is judged with respect to the same data array it observes.


title: Searches for non-Standard-Model Higgs Bosons at the Tevatron

abstract:
  Search for non-Standard-Model Higgs bosons is one of the major goals of the
ongoing Fermilab Tevatron run. Large data sets accumulated by the CDF and D0
experiments break new grounds in sensitivity. We review recent Tevatron results
on searches for Higgs bosons in Minimal Supersymmetric Model in the multi b-jet
and tau-tau final states, as well as a search for fermiophobic Higgs in the
multiphoton final state.


title:
The Transfer Matrix of Superintegrable Chiral Potts Model as the
  Q-operator of Root-of-unity XXZ Chain with Cyclic Representation of
  $U_q(sl_2)$

abstract:
  We demonstrate that the transfer matrix of the inhomogeneous $N$-state chiral
Potts model with two vertical superintegrable rapidities serves as the
$Q$-operator of XXZ chain model for a cyclic representation of $U_{\sf
q}(sl_2)$ with $N$th root-of-unity ${\sf q}$ and representation-parameter for
odd $N$. The symmetry problem of XXZ chain with a general cyclic $U_{\sf
q}(sl_2)$-representation is mapped onto the problem of studying $Q$-operator of
some special one-parameter family of generalized $\tau^{(2)}$-models. In
particular, the spin-$\frac{N-1}{2}$ XXZ chain model with ${\sf q}^N=1$ and the
homogeneous $N$-state chiral Potts model at a specific superintegrable point
are unified as one physical theory. By Baxter's method developed for producing
$Q_{72}$-operator of the root-of-unity eight-vertex model, we construct the
$Q_R, Q_L$- and $Q$-operators of a superintegrable $\tau^{(2)}$-model, then
identify them with transfer matrices of the $N$-state chiral Potts model for a
positive integer $N$. We thus obtain a new method of producing the
superintegrable $N$-state chiral Potts transfer matrix from the
$\tau^{(2)}$-model by constructing its $Q$-operator.

categories: cond-mat.stat-mech hep-th math-ph math.MP math.QA nlin.SI


title: Multi-point Distribution Function for the Continuous Time Random Walk

abstract:
  We derive an explicit expression for the Fourier-Laplace transform of the
two-point distribution function $p(x_1,t_1;x_2,t_2)$ of a continuous time
random walk (CTRW), thus generalizing the result of Montroll and Weiss for the
single point distribution function $p(x_1,t_1)$. The multi-point distribution
function has a structure of a convolution of the Montroll-Weiss CTRW and the
aging CTRW single point distribution functions. The correlation function
$<x(t_1) x(t_2) >$ for the biased CTRW process is found. The random walk
foundation of the multi-time-space fractional diffusion equation [Baule and
Friedrich [{\em Europhysics Letters} {\bf 77} 10002 (2007)] is investigated
using the unbiased CTRW in the continuum limit.


title:
Note About Integrability and Gauge Fixing for Bosonic String on
  AdS(5)xS(5)

abstract:
  This short note is devoted to the study of the integrability of the bosonic
string on AdS(5)xS(5) in the uniform light-cone gauge. We construct Lax
connection for gauge fixed theory and we argue that it is flat.


title: Augmented Teichmuller Spaces and Orbifolds

abstract:
  We study complex-analytic properties of the augmented Teichmuller spaces ATS
introduced by Lipman Bers. These spaces are obtained by adding to the classical
Teichmuller space TS the points corresponding to nodal Riemann surfaces. Unlike
TS, the space ATS is not a complex manifold (it is not even locally compact).
We prove however that the quotient of ATS by any finite index subgroup of the
Teichmuller modular group has a canonical structure of a complex orbifold.
Using this structure we construct natural maps from ATS to stacks of admissible
coverings of stable Riemann surfaces. This result is important for
understanding the cup-product in stringy orbifold cohomology. We also establish
some new technical results from the general theory of orbifolds which may be of
independent interest.


title:
Luminosity function of binary X-ray sources calculated using the
  Scenario Machine

abstract:
  Using the ``Scenario Machine'' we have carried out a population synthesis of
X-ray binaries for the purpose of modelling of X-ray luminosity functions
(XLFs) in different types of galaxies: star burst, spiral, and elliptical. This
computer code allows to calculate, by using Monte Carlo simulations, the
evolution of a large ensemble of binary systems, with proper accounting for the
spin evolution of magnetized neutron stars.
  We show that the XLF has no universal type. It depends on the star formation
rate in the galaxy. Also it is of importance to take into account the evolution
of binary systems and life times of X-ray stages in theoretical models of such
functions. We have calculated cumulative and differential XLFs for the galaxy
with the constant star formation rate. Also we have calculated cumulative
luminosity functions for different intervals of time after the star formation
burst in the galaxy and curves depicting the evolution of the X-ray luminosity
after the star formation burst in the galaxy.


title:
Secondary B-mode polarization from Faraday rotation in clusters and
  galaxies

abstract:
  We revisit the polarisation induced by Faraday rotation when Cosmic Microwave
Background photons traverse magnetised plasma. We compute the secondary B-mode
angular power spectrum from Faraday rotation due to magnetic fields in galaxies
and galaxy clusters with masses ranging from $10^{11}$ to $10^{16.5} M_\odot$.
We investigate its dependence on the electron and the magnetic field profiles.
Namely, we consider both the beta-profile of electron density as well as an
electron density distribution based on the Navarro-Frenk-White dark matter
profile. We model the magnetic field structure in galaxies and clusters
motivated by recent observations. We further account for its redshift evolution
and we examine the importance of its coherence length. We find that the B-mode
polarisation from Faraday rotation depends on the normalisation parameter
$C_l\propto \sigma_8^{5-6}$. At 30 GHz for $\sigma_8=0.8$, the B-modes from
Faraday rotation range between $0.01 {\mu \rm K}^2$ and $4 \times 10^{-3} {\mu
\rm K}^2$ at $l=10^4$ in the case of a maximally coherent fields. For smaller
coherence lengths, those amplitudes are smaller and they peak at higher
multipoles.


title:
Cryptanalysis of group-based key agreement protocols using subgroup
  distance functions

abstract:
  We introduce a new approach for cryptanalysis of key agreement protocols
based on noncommutative groups. This approach uses functions that estimate the
distance of a group element to a given subgroup. We test it against the
Shpilrain-Ushakov protocol, which is based on Thompson's group F.


title:
On the reproducing kernel Hilbert spaces associated with the fractional
  and bi-fractional Brownian motions

abstract:
  We present decompositions of various positive kernels as integrals or sums of
positive kernels. Within this framework we study the reproducing kernel Hilbert
spaces associated with the fractional and bi-fractional Brownian motions. As a
tool, we define a new function of two complex variables, which is a natural
generalization of the classical Gamma function for the setting we consider


title: Unveiling obscured accretion in the Chandra Deep Field South

abstract:
  A large population of heavily obscured, Compton Thick AGNs is predicted by
models of galaxy formation, models of Cosmic X-ray Background and by the
``relic'' super-massive black-hole mass function measured from local bulges.
However, so far only a handful of Compton thick AGNs have been possibly
detected using even the deepest Chandra and XMM surveys. Compton-thick AGNs can
be recovered thanks to the reprocessing of the AGN UV emission in the infrared
by selecting sources with AGN luminosity's in the mid-infrared and faint
near-infrared and optical emission. To this purpose, we make use of deep HST,
VLT, Spitzer and Chandra data on the Chandra Deep Field South to constrain the
number of Compton thick AGN in this field. We show that sources with high
24$\mu$m to optical flux ratios and red colors form a distinct source
population, and that their infrared luminosity is dominated by AGN emission.
Analysis of the X-ray properties of these extreme sources shows that most of
them (80$\pm15%$) are indeed likely to be highly obscured, Compton thick AGNs.
The number of infrared selected, Compton thick AGNs with 5.8$\mu$m luminosity
higher than $10^{44.2}$ erg s$^{-1}$ turns out to be similar to that of X-ray
selected, unobscured and moderately obscured AGNs with 2-10 keV luminosity
higher than $10^{43}$ erg s$^{-1}$ in the redshift bin 1.2-2.6. This ``factor
of 2'' source population is exactly what it is needed to solve the
discrepancies between model predictions and X-ray AGN selection.


title: Measurement of Transverse Spin Effects at COMPASS

abstract:
  By measuring transverse single spin asymmetries one has access to the
transversity distribution function $\Delta_T q(x)$ and the transverse momentum
dependent Sivers function $q_0^T(x,\vec{k}_T)$. New measurements from
identified hadrons and hadron pairs, produced in deep inelastic scattering of a
transversely polarized $^6LiD$ target are presented. The data were taken in
2003 and 2004 by the COMPASS collaboration using the muon beam of the CERN SPS
at 160 GeV/c, resulting in small asymmetries.


title:
Electromagnetic wave propagation in an almost circular bundle of closely
  packed, metallic, carbon nanotubes

abstract:
  An equivalent-multishell approach for the approximate calculation of the
characteristics of electromagnetic waves propagating in almost circular
(azimuthally symmetric), closely packed bundles of parallel, identical, and
metallic carbon nanotubes (CNTs) yields results in reasonably good agreement
with a many-body technique, for infinitely long bundles when the number of CNTs
is moderately high. The slow-wave coefficients for azimunthally symmetric
guided waves increase with the number of metallic CNTs in the bundle, tending
for thick bundles to unity, which is characteristic of macroscopic metallic
wires. The existence of an azimuthally nonsymmetric guided wave at low
frequencies in a bundle of a large number of finite-length CNTs stands in
contrast to the characteristics of guided-wave propagation in a single CNT. The
equivalent-multishell approach yields the polarizability scalar and the antenna
efficiency of a bundle of finite-length CNTs in the long-wavelength regime over
a wide frequency range spanning the terahertz and the near-infrared regimes.
Edge effects give rise to geometric resonances in such bundles.
  The antenna efficiency of a CNT bundle at the first resonance can exceed that
of a single CNT by four orders of magnitude, which is promising for the design
and development of CNT-bundle antennas and composite materials containing
CNT-bundles as inclusions.


title: Continuous selections and sigma-spaces

abstract:
  Assume that X is a metrizable separable space, and each clopen-valued lower
semicontinuous multivalued map Phi from X to Q has a continuous selection. Our
main result is that in this case, X is a sigma-space. We also derive a partial
converse implication, and present a reformulation of the Scheepers Conjecture
in the language of continuous selections.


title:
Non-Hermitian oscillator Hamiltonian and su(1,1): a way towards
  generalizations

abstract:
  The family of metric operators, constructed by Musumbu {\sl et al} (2007 {\sl
J. Phys. A: Math. Theor.} {\bf 40} F75), for a harmonic oscillator Hamiltonian
augmented by a non-Hermitian $\cal PT$-symmetric part, is re-examined in the
light of an su(1,1) approach. An alternative derivation, only relying on
properties of su(1,1) generators, is proposed. Being independent of the
realization considered for the latter, it opens the way towards the
construction of generalized non-Hermitian (not necessarily $\cal PT$-symmetric)
oscillator Hamiltonians related by similarity to Hermitian ones. Some examples
of them are reviewed.


title: Electroweak Symmetry Breaking without a Higgs Boson at the LHC

abstract:
  We present two studies into strong symmetry breaking scenarios at the LHC.
The first case is a study into vector boson scattering at ATLAS. This uses the
framework of the Electroweak Chiral Lagrangian with Pade unitarisation to
generate possible signal scenarios. Signals could be observed with an
integrated luminosity of 30 fb^{-1}. Secondly a search for the technirho,
rho_{TC}, at CMS is presented, within the Technicolour ``Straw Man'' model. 5
sigma discovery is possible starting from 4 fb^{-1}.


title:
Anisotropy and magnetization reversal with chains of submicron-sized Co
  hollow spheres

abstract:
  Magnetic properties with chains of hcp Co hollow spheres have been studied.
The diameter of the spheres ranges from 500 to 800 nm, with a typical shell
thickness of about 60 nm. The shell is polycrystalline with an average
crystallite size of 20 to 35 nm. The blocking temperature determined by the
zero-field-cooling MZFC(T) measurement at H = 90 Oe is about 325 K. The
corresponding effective anisotropy is determined as, Keff = 4.6*10^4 J/m^3. In
addition, the blocking temperature and the effective anisotropy determined by
the analysis on HC(T) are 395 K and 5.7*10^4 J/m^3, respectively. The
experimentally determined anisotropy is smaller by one order of magnitude than
the magnetocrystalline anisotropy of the bulk hcp Co, which is about 3 to
5*10^5 J/m^3. A further analysis on HC(T) shows that the magnetization reversal
follows a nucleation rotational mode with an effective switching volume, V* =
2.3*10^3 nm^3. The corresponding effective diameter is calculated as 16.4 nm.
It is slightly larger than the coherence length of Co, about 15 nm. The
possible reason for the much reduced magnetic anisotropy is discussed briefly.


title:
On spectral properties of translationally invariant magnetic
  Schr\"odinger operators

abstract:
  We consider a class of translationally invariant magnetic fields such that
the corresponding potential has a constant direction.
  Our goal is to study basic spectral properties of the Schr\"odinger operator
${\bf H}$ with such a potential. In particular, we show that the spectrum of
${\bf H}$ is absolutely continuous and we find its location. Then we study the
long-time behaviour of solutions $\exp(-i {\bf H} t)f$ of the time dependent
Schr\"odinger equation. It turnes out that a quantum particle remains localized
in the plane orthogonal to the direction of the potential. Its propagation in
this direction is determined by group velocities. It is to a some extent
similar to a evolution of a one-dimensional free particle but "exits" to
$+\infty$ and $-\infty$ might be essentially different.


title:
Cosmological Coincidence and Dark Mass Problems in Einstein Universe and
  Friedman Dust Universe with Einstein's Lambda Quantum Cosmology Dark Energy
  Schroedinger Wave Motion

abstract:
  In this paper, it is shown that the cosmological model that was introduced in
a sequence of three earlier papers under the title, A Dust Universe Solution to
the Dark Energy Problem can be used to analyse and solve the Cosmological
Coincidence Problem. The generic coincidence problem that appears in the
original Einstein universe model is shown to arise from a misunderstanding
about the magnitude of dark energy density and the epoch time governing the
appearance of the integer relation between dark energy and normal energy
density. The solution to the generic case then clearly points to the source of
the time coincidence integer problem in the Friedman dust universe model. It is
then possible to eliminate this coincidence by removing a degeneracy between
different measurement epoch times. In this paper's first appendix, a
fundamental time dependent relation between dark mass and dark energy is
derived with suggestions how this relation could explain cosmological voids and
the clumping of dark mass to become visible matter. In this paper's second
appendix, it is shown that that dark energy is a conserved with time substance
that is everywhere and for all time permeable to the dark mass and visible mass
of which the contracting or expanding universe is composed. The last two
appendices involve detailed studies of cosmology, quantum dark energy related
issues. There are more detailed abstracts given with all four appendices.


title: A simple extension of Stollmann's lemma to correlated potentials

abstract:
  We propose a fairly simple and natural extension of Stollmann's lemma to
correlated random variables. This extension allows (just as the original
Stollmann's lemma does) to obtain Wegner-type estimates even in some problems
of spectral analysis of random operators where the Wegner's lemma is
inapplicable (e.g. for multi-particle Hamiltonians).


title: Combinatorial Morse theory and minimality of hyperplane arrangements

abstract:
  We find an explicit combinatorial gradient vector field on the well known
complex S (Salvetti complex) which models the complement to an arrangement of
complexified hyperplanes. The argument uses a total ordering on the facets of
the stratification of R^n associated to the arrangement, which is induced by a
generic system of polar coordinates. We give a combinatorial description of the
singular facets, finding also an algebraic complex which computes local
homology. We also give a precise construction in the case of the braid
arrangement.


title:
Prediction of Macrobending and Splice Losses for Photonic Crystal Fibers
  based on the Effective Index Method

abstract:
  An index-guiding photonic crystal fiber (PCF) with an array of air holes
surrounding the silica core region has special characteristics compared to
conventional single-mode fibers (SMFs). Using the effective index method and
the Gaussian beam propagation theory, the macro-bending and splice losses for
PCFs are investigated. The wavelength dependence of the cladding index of the
PCF has been taken properly into account. We obtain the effective spot size for
different configurations of PCFs, which is used for computing the splice
losses. The Gaussian approximation for the fundamental modal field leads to
simple closed-form expressions for the splice losses produced by transverse,
longitudinal and angular offsets. Calculations of macro-bending losses are
based on antenna theory for bend standard fibers.


title:
An online algorithm for generating fractal hash chains applied to
  digital chains of custody

abstract:
  This paper gives an online algorithm for generating Jakobsson's fractal hash
chains. Our new algorithm compliments Jakobsson's fractal hash chain algorithm
for preimage traversal since his algorithm assumes the entire hash chain is
precomputed and a particular list of Ceiling(log n) hash elements or pebbles
are saved. Our online algorithm for hash chain traversal incrementally
generates a hash chain of n hash elements without knowledge of n before it
starts. For any n, our algorithm stores only the Ceiling(log n) pebbles which
are precisely the inputs for Jakobsson's amortized hash chain preimage
traversal algorithm. This compact representation is useful to generate,
traverse, and store a number of large digital hash chains on a small and
constrained device. We also give an application using both Jakobsson's and our
new algorithm applied to digital chains of custody for validating dynamically
changing forensics data.


title: Origin of which-way information and generalization of the Born rule

abstract:
  The possibility to recover the which-way information, for example in the two
slit experiment, is based on a natural but implicit assumption about the
position of a particle {\it before} a position measurement is performed on it.
This assumption cannot be deduced from the standard postulates of quantum
mechanics. In the present paper this assumption is made explicit and formally
postulated as a new rule, the {\it quantum typicality rule}. This rule
correlates the positions of the particles at two different times, thus defining
their trajectories. Unexpectedly, this rule is also equivalent to the Born rule
with regard to the explanation of the results of statistical experiments. For
this reason it can be considered a generalization of the Born rule. The
existence of the quantum typicality rule strongly suggests the possibility of a
new trajectory-based formulation of quantum mechanics. According to this new
formulation, a closed quantum system is represented as a {\it quantum process},
which corresponds to a canonical stochastic process in which the probability
measure is replaced by the wave function and the usual frequentist
interpretation of probability is replaced by the quantum typicality rule.


title: Asymmetric potentials and motor effect: a large deviation approach

abstract:
  We provide a mathematical analysis of appearance of the concentrations (as
Dirac masses) of the solution to a Fokker-Planck system with asymmetric
potentials. This problem has been proposed as a model to describe motor
proteins moving along molecular filaments. The components of the system
describe the densities of the different conformations of the proteins. Our
results are based on the study of a Hamilton-Jacobi equation arising, at the
zero diffusion limit, after an exponential transformation change of the phase
function that rises a Hamilton-Jacobi equation. We consider different classes
of conformation transitions coefficients (bounded, unbounded and locally
vanishing).


title: Bernstein polynomials, Bergman kernels and toric K\"ahler varieties

abstract:
  It does not seem to have been observed previously that the classical
Bernstein polynomials $B_N(f)(x)$ are closely related to the Bergman-Szego
kernels $\Pi_N$ for the Fubini-Study metric on $\CP^1$: $B_N(f)(x)$ is the
Berezin symbol of the Toeplitz operator $\Pi_N f(N^{-1} D_{\theta})$. The
relation suggests a generalization of Bernstein polynomials to any toric Kahler
variety and Delzant polytope $P$. When $f$ is smooth, $B_N(f)(x)$ admits a
complete asymptotic expansion. Integrating it over $P$ gives a complete
asymptotic expansion for Dedekind-Riemann sums of smooth functions over lattice
points in $N P$ related to Euler-MacLaurin sum formulae of Guillemin-Sternberg
and others.


title: Instability of the massive Klein-Gordon field on the Kerr spacetime

abstract:
  We investigate the instability of the massive scalar field in the vicinity of
a rotating black hole. The instability arises from amplification caused by the
classical superradiance effect. The instability affects bound states: solutions
to the massive Klein-Gordon equation which tend to zero at infinity. We
calculate the spectrum of bound state frequencies on the Kerr background using
a continued fraction method, adapted from studies of quasinormal modes. We
demonstrate that the instability is most significant for the $l = 1$, $m = 1$
state, for $M \mu \lesssim 0.5$. For a fast rotating hole ($a = 0.99$) we find
a maximum growth rate of $\tau^{-1} \approx 1.5 \times 10^{-7} (GM/c^3)^{-1}$,
at $M \mu \approx 0.42$. The physical implications are discussed.


title:
Wind instability of a foam layer sandwiched between the atmosphere and
  the ocean

abstract:
  Wind shortwave instability of a foam layer between the atmosphere and the
ocean is examined in order to reach greater understanding of the recent
findings of the decrease in momentum transfer from hurricane winds to sea
waves. The three-fluid configuration with the high contrasts in densities of
the air, foam and water provides for an effective mechanism to stabilize the
water surface.