title: Main-Seqence Fitting Distance to the sigma Ori Cluster

abstract:
  The sigma Ori cluster is an unbound aggregate of a few hundred young,
low-mass stars centered on the multiple system sigma Ori. This cluster is of
great interest because it is at an age when roughly half of the stars have lost
their protoplanetary disks, and the cluster has a very large population of
brown dwarfs. One of the largest sources of uncertainty in the properties of
the cluster is that the distance is not well known. The directly measured
Hipparcos distance to sigma Ori AB is 350 (+120,-90) pc. On the other hand, the
distance to the Orion OB1b subgroup (of which sigma Ori is thought to be a
member), 473+/-40 pc, is far better determined, but it is an indirect estimate
of the cluster's distance. Also, Orion OB1b may have a depth of 40 pc along our
line of sight. We use main sequence fitting to 9 main sequence cluster members
to estimate a best fit distance of 420+/-30 pc, assuming a metallicity of
-0.16+/-0.11 or 444 pc assuming solar metallicity. A distance as close as 350
pc is inconsistent with the observed brightnesses of the cluster members. At
the best fit distance, the age of the cluster is 2-3 Myrs.


title: Embeddings of hyperbolic Kac-Moody algebras into $\mathbf{E_{10}}$}

abstract:
  We show that the rank 10 hyperbolic Kac-Moody algebra $E_{10}$ contains every
simply laced hyperbolic Kac-Moody algebra as a Lie subalgebra. Our method is
based on an extension of earlier work of Feingold and Nicolai.


title:
The effectiveness of position- and composition-specific gap costs for
  protein similarity searches

abstract:
  The flexibility in gap cost enjoyed by Hidden Markov Models (HMMs) is
expected to afford them better retrieval accuracy than position-specific
scoring matrices (PSSMs). We attempt to quantify the effect of more general gap
parameters by separately examining the influence of position- and
composition-specific gap scores, as well as by comparing the retrieval accuracy
of the PSSMs constructed using an iterative procedure to that of the HMMs
provided by Pfam and SUPERFAMILY, curated ensembles of multiple alignments.
  We found that position-specific gap penalties have an advantage over uniform
gap costs. We did not explore optimizing distinct uniform gap costs for each
query. For Pfam, PSSMs iteratively constructed from seeds based on HMM
consensus sequences perform equivalently to HMMs that were adjusted to have
constant gap transition probabilities, albeit with much greater variance. We
observed no effect of composition-specific gap costs on retrieval performance.


title: Coding and Decoding for the Dynamic Decode and Forward Relay Protocol

abstract:
  We study the Dynamic Decode and Forward (DDF) protocol for a single
half-duplex relay, single-antenna channel with quasi-static fading. The DDF
protocol is well-known and has been analyzed in terms of the
Diversity-Multiplexing Tradeoff (DMT) in the infinite block length limit. We
characterize the finite block length DMT and give new explicit code
constructions. The finite block length analysis illuminates a few key aspects
that have been neglected in the previous literature: 1) we show that one
dominating cause of degradation with respect to the infinite block length
regime is the event of decoding error at the relay; 2) we explicitly take into
account the fact that the destination does not generally know a priori the
relay decision time at which the relay switches from listening to transmit
mode. Both the above problems can be tackled by a careful design of the
decoding algorithm. In particular, we introduce a decision rejection criterion
at the relay based on Forney's decision rule (a variant of the Neyman-Pearson
rule), such that the relay triggers transmission only when its decision is
reliable. Also, we show that a receiver based on the Generalized Likelihood
Ratio Test rule that jointly decodes the relay decision time and the
information message achieves the optimal DMT. Our results show that no cyclic
redundancy check (CRC) for error detection or additional protocol overhead to
communicate the decision time are needed for DDF. Finally, we investigate the
use of minimum mean squared error generalized decision feedback equalizer
(MMSE-GDFE) lattice decoding at both the relay and the destination, and show
that it provides near optimal performance at moderate complexity.


title:
Precision timing of PSR J0437-4715: an accurate pulsar distance, a high
  pulsar mass and a limit on the variation of Newton's gravitational constant

abstract:
  Analysis of ten years of high-precision timing data on the millisecond pulsar
PSR J0437-4715 has resulted in a model-independent kinematic distance based on
an apparent orbital period derivative, Pbdot, determined at the 1.5% level of
precision (Dk = 157.0 +/- 2.4 pc), making it one of the most accurate stellar
distance estimates published to date. The discrepancy between this measurement
and a previously published parallax distance estimate is attributed to errors
in the DE200 Solar System ephemerides. The precise measurement of Pbdot allows
a limit on the variation of Newton's gravitational constant, |Gdot/G| < 23 x
10^{-12} 1/yr. We also constrain any anomalous acceleration along the line of
sight to the pulsar to |a(Sun)/c| < 1.5 x 10^{-18} 1/s at 95% confidence, and
derive a pulsar mass, m(psr) = 1.76 +/- 0.20 M, one of the highest estimates so
far obtained.


title:
Lyapunov exponents, bifurcation currents and laminations in bifurcation
  loci

abstract:
  Bifurcation loci in the moduli space of degree $d$ rational maps are shaped
by the hypersurfaces defined by the existence of a cycle of period $n$ and
multiplier 0 or $e^{i\theta}$. Using potential-theoretic arguments, we
establish two equidistribution properties for these hypersurfaces with respect
to the bifurcation current. To this purpose we first establish approximation
formulas for the Lyapunov function. In degree $d=2$, this allows us to build
holomorphic motions and show that the bifurcation locus has a lamination
structure in the regions where an attracting basin of fixed period exists.


title:
Characterizing the Orbital Eccentricities of Transiting Extrasolar
  Planets with Photometric Observations

abstract:
  The discovery of over 200 extrasolar planets with the radial velocity (RV)
technique has revealed that many giant planets have large eccentricities, in
striking contrast with most of the planets in the solar system and prior
theories of planet formation. The realization that many giant planets have
large eccentricities raises a fundamental question: ``Do terrestrial-size
planets of other stars typically have significantly eccentric orbits or nearly
circular orbits like the Earth?'' Here, we demonstrate that photometric
observations of transiting planets could be used to characterize the orbital
eccentricities for individual transiting planets, as well the eccentricity
distribution for various populations of transiting planets (e.g., those with a
certain range of orbital periods or physical sizes). Such characterizations can
provide valuable constraints on theories for the excitation of eccentricities
and tidal dissipation. We outline the future prospects of the technique given
the exciting prospects for future transit searches, such as those to be carried
out by the CoRoT and Kepler missions.


title:
Spin polarized current generation from quantum dots without magnetic
  fields

abstract:
  An unpolarized charge current passing through a chaotic quantum dot with
spin-orbit coupling can produce a spin polarized exit current without magnetic
fields or ferromagnets. We use random matrix theory to estimate the typical
spin polarization as a function of the number of channels in each lead in the
limit of large spin-orbit coupling. We find rms spin polarizations up to 45%
with one input channel and two output channels. Finite temperature and
dephasing both suppress the effect, and we include dephasing effects using a
new variation of the third lead model. If there is only one channel in the
output lead, no spin polarization can be produced, but we show that dephasing
lifts this restriction.


title:
Time-separated oscillatory fields for high-precision mass measurements
  on short-lived Al and Ca nuclides

abstract:
  High-precision Penning trap mass measurements on the stable nuclide 27Al as
well as on the short-lived radionuclides 26Al and 38,39Ca have been performed
by use of radiofrequency excitation with time-separated oscillatory fields,
i.e. Ramsey's method, as recently introduced for the excitation of the ion
motion in a Penning trap, was applied. A comparison with the conventional
method of a single continuous excitation demonstrates its advantage of up to
ten times shorter measurements. The new mass values of 26,27Al clarify
conflicting data in this specific mass region. In addition, the resulting mass
values of the superallowed beta-emitter 38Ca as well as of the groundstate of
the beta-emitter 26Al m confirm previous measurements and corresponding
theoretical corrections of the ft-values.


title:
A First Estimate Of The X-Ray Binary Frequency As A Function Of Star
  Cluster Mass In A Single Galactic System

abstract:
  We use the previously-identified 15 infrared star-cluster counterparts to
X-ray point sources in the interacting galaxies NGC 4038/4039 (the Antennae) to
study the relationship between total cluster mass and X-ray binary number. This
significant population of X-Ray/IR associations allows us to perform, for the
first time, a statistical study of X-ray point sources and their environments.
We define a quantity, \eta, relating the fraction of X-ray sources per unit
mass as a function of cluster mass in the Antennae. We compute cluster mass by
fitting spectral evolutionary models to K_s luminosity. Considering that this
method depends on cluster age, we use four different age distributions to
explore the effects of cluster age on the value of \eta and find it varies by
less than a factor of four. We find a mean value of \eta for these different
distributions of \eta = 1.7 x 10^-8 M_\sun^-1 with \sigma_\eta = 1.2 x 10^-8
M_\sun^-1. Performing a \chi^2 test, we demonstrate \eta could exhibit a
positive slope, but that it depends on the assumed distribution in cluster
ages. While the estimated uncertainties in \eta are factors of a few, we
believe this is the first estimate made of this quantity to ``order of
magnitude'' accuracy. We also compare our findings to theoretical models of
open and globular cluster evolution, incorporating the X-ray binary fraction
per cluster.


title: The SCUBA Legacy Catalogue: Continuum Objects Detected by SCUBA

abstract:
  We present the SCUBA Legacy Catalogues, two comprehensive sets of continuum
maps (and catalogues) using data at 850 microns and 450 microns of the various
astronomical objects obtained with the Submillimetre Common User Bolometer
Array (SCUBA). The Fundamental Map Dataset contains data only where superior
atmospheric opacity calibration data were available. The Extended Map Dataset
is comprised of data regardless of the quality of the opacity calibration. Each
Dataset contains 1.2 degree x 1.2 degree maps at locations where data existed
in the JCMT archive, imaged using the matrix inversion method. The Fundamental
Dataset is comprised of 1423 maps at 850 microns and 1357 maps at 450 microns.
The Extended Dataset is comprised of 1547 maps at 850 microns. Neither Dataset
includes high sensitivity, single chop SCUBA maps of "cosmological fields" nor
solar system objects. Each Dataset was used to determine a respective Object
Catalogue, consisting of objects identified within the respective 850 micron
maps using an automated identification algorithm. The Fundamental and Extended
Map Object Catalogues contain 5061 and 6118 objects respectively. Objects are
named based on their respective J2000 position of peak 850 micron intensity.
The Catalogues provide for each object the respective maximum 850 micron
intensity, estimates of total 850 micron flux and size, and tentative
identifications from the SIMBAD Database. Where possible, the Catalogues als
provide for each object its maximum 450 micron intensity and total 450 micron
flux, and flux ratios. Data products, machine-readable tables and a full
version of the paper can be retrieved at
http://www.cadc.hia.nrc.gc.ca/community/scubalegacy .


title:
Exclusive $B \to VV $ Decays and CP Violation in the General
  two-Higgs-doublet Model

abstract:
  Using the general factorization approach, we present a detailed investigation
for the branching ratios, CP asymmetries and longitudinal polarization
fractions in all charmless hadronic $B \to VV$ decays (except for the pure
annihilation processes) within the most general two-Higgs-doublet model with
spontaneous CP violation. It is seen that such a new physics model only has
very small contributions to the branching ratios and longitudinal polarization
fractions. However, as the model has rich CP-violating sources, it can lead to
significant effects on the CP asymmetries, especially on those of
penguin-dominated decay modes, which provides good signals for probing new
physics beyond the SM in the future B-physics experiments.


title: Enumerating (multiplex) juggling sequences

abstract:
  We consider the problem of enumerating periodic $\sigma$-juggling sequences
of length $n$ for multiplex juggling, where $\sigma$ is the initial state (or
{\em landing schedule}) of the balls. We first show that this problem is
equivalent to choosing 1's in a specified matrix to guarantee certain column
and row sums, and then using this matrix, derive a recursion. This work is a
generalization of earlier work of Fan Chung and Ron Graham.


title:
Is the anti-correlation between the X-ray variability amplitude and
  black hole mass of AGNs intrinsic?

abstract:
  Aims. Both the black hole mass and the X-ray luminosity of AGNs have been
found to be anti-correlated with the normalized excess variance ($\sigma_{\rm
rms}^2 $) of the X-ray light curves. We investigate which correlation with
$\sigma_{\rm rms}^2 $ is the intrinsic one.
  Methods. We divide a full sample of 33 AGNs (O' Neill et al. 2005) into two
sub-samples. The black hole masses of 17 objects in sub-sample 1 were
determined by the reverberation mapping or the stellar velocity dispersion. The
black hole masses of the remaining 16 objects were estimated from the
relationship between broad line region radius and optical luminosity
(sub-sample 2). Then partial correlation analysis, ordinary least squares
regression and K-S tests are performed on the full sample and the sub-samples,
respectively.
  Results. We find that $\sigma_{\rm rms}^2 $ seems to be intrinsically
correlated with the black hole mass in the full sample. However, this seems to
be caused by including the sub-sample 2 into the analysis, which introduces an
extra correlation between the black hole mass and the luminosity and
strengthens any correlation with the black hole mass artificially. Therefore,
the results from the full sample may be misleading. The results from the
sub-sample 1 show that the correlation between $\sigma_{\rm rms}^2 $ and the
X-ray luminosity may be the intrinsic one and therefore the anti-correlation
between $\sigma_{\rm rms}^2 $ and the black hole mass is doubtful.


title:
Derived categories of sheaves on singular schemes with an application to
  reconstruction

abstract:
  We prove that the bounded derived category of coherent sheaves with proper
support is equivalent to the category of locally-finite, cohomological functors
on the perfect derived category of a quasi-projective scheme over a field. We
introduce the notions of pseudo-adjoints and Rouquier functors and study them.
As an application of these ideas and results, we extend the reconstruction
result of Bondal and Orlov to Gorenstein projective varieties.


title:
Some thoughts on the asymptotics of the deconvolution kernel density
  estimator

abstract:
  Via a simulation study we compare the finite sample performance of the
deconvolution kernel density estimator in the supersmooth deconvolution problem
to its asymptotic behaviour predicted by two asymptotic normality theorems. Our
results indicate that for lower noise levels and moderate sample sizes the
match between the asymptotic theory and the finite sample performance of the
estimator is not satisfactory. On the other hand we show that the two
approaches produce reasonably close results for higher noise levels. These
observations in turn provide additional motivation for the study of
deconvolution problems under the assumption that the error term variance
$\sigma^2\to 0$ as the sample size $n\to\infty.$


title: Classification of Harish-Chandra modules over the $W$-algebra W(2,2)

abstract:
  In this paper, we classify all irreducible weight modules with finite
dimensional weight spaces over the $W$-algebra $W(2, 2)$. Meanwhile, all
indecomposable modules with one dimensional weight spaces over the $W$-algebra
$W(2, 2)$ are also determined.


title: Pulsar Wind Nebulae in the Chandra Era

abstract:
  Pulsar winds shocked in the ambient medium produce spectacular nebulae
observable from the radio through gamma-rays. The shape and the spectrum of a
pulsar wind nebula (PWN) depend on the angular distribution, magnetization and
energy spectrum of the wind streaming from the pulsar magnetosphere, as well as
on the pulsar velocity and the properties of the ambient medium. The advent of
Chandra, with its unprecedented angular resolution and high sensitivity, has
allowed us not only to detect many new PWNe, but also study their spatial and
spectral structure and dynamics, which has significantly advanced our
understanding of these objects. Here we overview recent observational results
on PWNe, with emphasis on Chandra observations.


title: Classification of irreducible weight modules over $W$-algebra W(2,2)

abstract:
  We show that the support of an irreducible weight module over the $W$-algebra
$W(2, 2)$, which has an infinite dimensional weight space, coincides with the
weight lattice and that all nontrivial weight spaces of such a module are
infinite dimensional. As a corollary, we obtain that every irreducible weight
module over the the $W$-algebra $W(2, 2)$, having a nontrivial finite
dimensional weight space, is a Harish-Chandra module (and hence is either an
irreducible highest or lowest weight module or an irreducible module of the
intermediate series).


title: Effect of the equilibrium pair separation on cluster structures

abstract:
  A simple pair potential, which equilibrium pair separation can be varied
under a fixed interaction range, has been proposed. The new potential can make
both face-centered-cubic(fcc) and body-centered-cubic(bcc) structure stable by
simply changing one parameter. To investigate the general effect of the
potential shape on cluster structures, the evolution of cluster structures is
calculated for different equilibrium pair separations. The small size
clusters($N<25$), which adopt the polytetrahedra, are almost independent on the
details of the potential. For the large size clusters($25<N<150$), the
potential with large equilibrium pair separation trends to stable decahedra and
close-packed structure, disordered clusters appear for the potential with small
equilibrium pair separation, while for the middle range of equilibrium pair
separation, the icosahedra are dominated.


title:
Ricci flow unstable cell centered at an Einstein metric on the twistor
  space of positive quaternion K\"ahler manifolds of dimension $\geq 8$

abstract:
  We show that a 1-parameter family Ricci flow ancient solutions arises from
the natural collapsings of the twistor space of positive quaternion K\"ahler
manifolds. We use these ancient solutions to show that a positive quaternion
K\"ahler manifold is isometric to one of the Wolf spaces.


title: Telecom-Band Entanglement Generation for Chipscale Quantum Processing

abstract:
  We demonstrate polarization-entanglement for non-degenerate and degenerate
photon-pairs generated through Kerr-nonlinearity in a nano-scale
silicon-on-insulator(SOI) waveguide. We use a compact counter propagating
configuration to create two-photon polarization-entangled state, |H>|H> +
|V>|V>. We observe two-photon interference with visibility > 91% and > 80% for
non-degenerate and degenerate photon-pairs, respectively. The experimental
structure can be implemented on optical chips as an integrated source of
entangled photons for future quantum computer and communication applications.


title:
Electrochemical synthesis and properties of CoO2, the x = 0 phase of the
  AxCoO2 systems (A = Li, Na)

abstract:
  Single-phase bulk samples of the "exotic" CoO2, the x = 0 phase of the AxCoO2
systems (A = Li, Na), were successfully synthesized through electrochemical
de-intercalation of Li from pristine LiCoO2 samples. The samples of pure CoO2
were found to be essentially oxygen stoichiometric and possess a hexagonal
structure consisting of stacked triangular-lattice CoO2 layers only. The
magnetism of CoO2 is featured with a temperature-independent susceptibility of
the magnitude of 10-3 emu/mol Oe, being essentially identical to that of a
Li-doped phase, Li0.12CoO2. It is most likely that the CoO2 phase is a
Pauli-paramagnetic metal with itinerant electrons.


title: An upper bound on quantum fault tolerant thresholds

abstract:
  In this paper we calculate upper bounds on fault tolerance, without
restrictions on the overhead involved. Optimally adaptive recovery operators
are used, and the Shannon entropy is used to estimate the thresholds. By
allowing for unrealistically high levels of overhead, we find a quantum fault
tolerant threshold of 6.88% for the depolarizing noise used by Knill, which
compares well to "above 3%" evidenced by Knill. We conjecture that the optimal
threshold is 6.90%, based upon the hashing rate. We also perform threshold
calculations for types of noise other than that discussed by Knill.


title: The Combinatorial Norm of a Morphism of Schemes

abstract:
  In this paper we will prove that there exists a covariant functor from the
category of schemes to the category of graphs. This functor provides a
combination between algebraic varieties and combinatorial graphs so that the
invariants defined on graphs can be introduced to algebraic varieties in a
natural manner. By the functor, we will define the combinatorial norm of a
morphism of schemes. Then we will obtain some properties of morphisms of norm
not great than one. The topics discussed here can be applied to study the
discrete Morse theory on arithmetic schemes and Kontsevich's theory of graph
homology.


title: On the evolution of differentiated multicellularity

abstract:
  Most conspicuous organisms are multicellular and most multicellular organisms
develop somatic cells to perform specific, non-reproductive tasks. The ubiquity
of this division of labor suggests that it is highly advantageous. In this
paper, I present a model to study the evolution of specialized cells. The model
allows for unicellular and multicellular organisms that may contain somatic
(terminally differentiated) cells. Cells contribute additively to a
quantitative trait. The fitness of the organism depends on this quantitative
trait (via a benefit function), the size of the organism, and the number of
somatic cells. This model allows one to determine when somatic cells are
advantageous and to calculate the optimum number (or fraction) of reproductive
cells. I show that the fraction of reproductive cells is always surprisingly
high. If somatic cells are very small they can outnumber reproductive cells but
their biomass is still less than the biomass of reproductive cells. Only for
convex benefit functions can the biomass of somatic cell exceed the biomass of
reproductive cells. I discuss the biology of primitive multicellular organisms
with respect to the model predictions. I find good agreement and outline how
this work can be used to guide further quantitative studies of
multicellularity.


title: General isotropic flags are general (for Grassmannian Schubert calculus)

abstract:
  We show that general isotropic flags for odd-orthogonal and symplectic groups
are general for Schubert calculus on the classical Grassmannian in that
Schubert cells defined by such flags meet transversally. This strengthens a
result of Belkale and Kumar in arXiv:0708.0398.


title:
Overcharging and charge reversal in the electrical double layer near the
  point of zero charge

abstract:
  The ionic adsorption around a weakly charged spherical colloid, immersed in
size-asymmetric 1:1 and 2:2 salts, is studied. We use the primitive model of an
electrolyte to perform Monte Carlo simulations as well as theoretical
calculations by means of the hypernetted chain/mean spherical approximation
(HNC/MSA) and the unequal-radius modified Gouy-Chapman (URMGC) integral
equations. Structural quantities such as the radial distribution functions, the
integrated charge, and the mean electrostatic potential are reported. Our Monte
Carlo "experiments" evidence that near the point of zero charge the smallest
ionic species is preferentially adsorbed onto the macroparticle, independently
of the sign of the charge carried by this tiniest electrolytic component,
giving rise to the appearance of the phenomena of charge reversal and
overcharging. Accordingly, charge reversal is observed when the macroion is
slightly charged and the coions are larger than the counterions. In the
opposite situation, i.e. if the counterions are larger than the coions,
overcharging occurs. In other words, in this paper we present the first
simulational data on overcharging, showing that this novel effect surges close
to the point of zero charge as a consequence of the ionic size asymmetry.
Further, it is seen that the inclusion of hard-core correlations in HNC/MSA
leads to spatial regions near the macroion's surface in which the integrated
charge and/or the mean electrostatic potential can decrease when the colloidal
charge is augmented and vice versa. These observations aware about the
interpretation of electrophoretic mobility measurements using the standard
Poisson-Boltzmann approximation beyond its validity region.


title:
Searching for dust in the intracluster medium from reddening of
  background galaxies

abstract:
  We report a search for the presence of dust in the intra-cluster medium based
on the study of statistical reddening of background galaxies. Armed with the
Red Sequence Cluster survey data, from which we extracted (i) a catalog of 458
clusters with z_clust < 0.5 and (ii) a catalog of ~90,000 galaxies with
photometric redshift 0.5 < z_ph < 0.8 and photometric redshift uncertainty
delta z_ph / (1+z_ph) < 0.06, we have constructed several samples of galaxies
according to their projected distances to the cluster centers. No significant
color differences [<E(B-R_c)> = 0.005 pm 0.008, and <E(V-z')> = 0.000 pm 0.008]
were found for galaxies background to the clusters, compared to the references.
Assuming a Galactic extinction law, we derive an average visual extinction of
<A_V> = 0.004 pm 0.010 towards the inner 1x R_200 of clusters.


title:
Observation of the n(3He,t)p Reaction by Detection of Far-Ultraviolet
  Radiation

abstract:
  We have detected Lyman alpha radiation as a product of the n(3He,t)p nuclear
reaction occurring in a cell of 3He gas. The predominant source of this
radiation appears to be decay of the 2p state of tritium produced by charge
transfer and excitation collisions with the background 3He gas. Under the
experimental conditions reported here we find yields of tens of Lyman alpha
photons for every neutron reaction. These results suggest a method of cold
neutron detection that is complementary to existing technologies that use
proportional counters. In particular, this approach may provide single neutron
sensitivity with wide dynamic range capability, and a class of neutron
detectors that are compact and operate at relatively low voltages.


title:
Tidal Interactions of Red Giants with Environment Stars in Globular
  Clusters

abstract:
  We investigate the tidal interactions of a red giant with a main sequence in
the dense stellar core of globular clusters by Smoothed Particle Hydrodynamics
method. Two models of $0.8 \msun$ red giant with the surface radii 20 and $85
R_\sun$ are used with 0.6 or $0.8M_\sun$ main sequence star treated as a point
mass. We demonstrate that even for the wide encounters that two stars fly
apart, the angular momentum of orbital motion can be deposited into the red
giant envelope to such an extent as to trigger rotational mixing and to explain
the fast rotation observed for the horizontal branch stars, and also that
sufficient mass can be accreted on the main sequence stars to disguise their
surface convective zone with the matter from the red giant envelope. On the
basis of the present results, we discuss the parameter dependence of these
transfer characteristics with non-linear effects taken into account, and derive
fitting formulae to give the amounts of energy and angular momentum deposited
into the red giant and of mass accreted onto the perturber as functions of
stellar parameters and the impact parameter of encounter. These formulae are
applicable to the encounters not only of the red giants but also of the main
sequence stars, and useful in the study of the evolution of stellar systems
with the star-star interactions taken into account.


title: Probing the Nature of EROs through ASTRO-F/AKARI observations

abstract:
  We present a preliminary analysis of ASTRO-F data of a complete sample of
~150 EROs (R-K>5) down to K(Vega)<19, for which reliable photometric redshifts
are available, in the range 0.8<z<2, selected over two fields (S7 and S2) of
the MUNICS survey. The area covered is about 420 arcmin^2. We have imaged this
area with AKARI telescope in N3 (3.4 micron), N60 (65 micron) and WL (150
micron) down to 12 microJy in the N3 filter, in order to detect the rest frame
H or K-band emission, thus providing an excellent sampling of the SED of our
EROs. From a first analysis we have an identification rate of ~63% in the N3
filter over the S7 field. These data allow us to distinguish starburst from
passive early type phenomena, to meseaure the SFR of the starburst component
and to constrain the mass assembly of early type galaxies.


title:
The pseudogap and doping dependent magnetic properties of
  La2-xSrxCu1-yZnyO4

abstract:
  The effects of planar hole content, p (= x), on the static magnetic
susceptibility, chi(T), of polycrystalline La2-xSrxCu1-yZnyO4 compounds were
investigated over a wide range of Sr (x) and Zn (y) contents. The magnetic
behavior caused by Zn was found to depend strongly on the hole content. The
apparent magnetic moment induced by Zn was larger in underdoped
La2-xSrxCu1-yZnyO4, decreased quite sharply around p ~ 0.19, and did not change
much for further overdoping. This is interpreted in terms of the effect of the
pseudogap on the Zn-induced magnetic behavior, as there is growing evidence
that the pseudogap vanishes quite abruptly at p ~ 0.19 +/- 0.01. From a
detailed analysis of chi(T) data the Zn-induced magnetic contribution was found
to be rather complex and showed non-Curie-like features over a wide range of
temperature. The observed behavior was scrutinized in terms of two scenarios
(a) that of independent localized-moments and (b) low energy quasiparticle
resonances associated with each Zn atom. Our study points towards the latter
scenario and more generally suggests that there is a re-distribution of
quasiparticle spectral weight due to Zn substitution, the features of which are
greatly influenced by the presence and magnitude of the pseudogap.


title: Survey of Technologies for Web Application Development

abstract:
  Web-based application developers face a dizzying array of platforms,
languages, frameworks and technical artifacts to choose from. We survey,
classify, and compare technologies supporting Web application development. The
classification is based on (1) foundational technologies; (2)integration with
other information sources; and (3) dynamic content generation. We further
survey and classify software engineering techniques and tools that have been
adopted from traditional programming into Web programming. We conclude that,
although the infrastructure problems of the Web have largely been solved, the
cacophony of technologies for Web-based applications reflects the lack of a
solid model tailored for this domain.


title:
Density-density propagator for one-dimensional interacting spinless
  fermions with non-linear dispersion and calculation of the Coulomb drag
  resistivity

abstract:
  Using bosonization-fermionization transformation we map the
Tomonaga-Luttinger model of spinless fermions with non-linear dispersion on the
model of fermionic quasiparticles whose interaction is irrelevant in the
renormalization group sense. Such mapping allows us to set up an expansion for
the density-density propagator of the original Tomonaga-Luttinger Hamiltonian
in orders of the (irrelevant) quasiparticle interaction. The lowest order term
in such an expansion is proportional to the propagator for free fermions. The
next term is also evaluated. The propagator found is used for calculation of
the Coulomb drug resistivity $r$ in a system of two capacitively coupled
one-dimensional conductors. It is shown that $r$ is proportional to $T^2$ for
both free and interacting fermions. The marginal repulsive in-chain interaction
acts to reduce $r$ as compared to the non-interacting result. The correction to
$r$ due to the quasiparticle interaction is found as well. It scales as $T^4$
at low temperature.


title:
Edgeworth Expansion of the Largest Eigenvalue Distribution Function of
  GOE

abstract:
  In this paper we focus on the large n probability distribution function of
the largest eigenvalue in the Gaussian Orthogonal Ensemble of n by n matrices
(GOEn). We prove an Edgeworth type Theorem for the largest eigenvalue
probability distribution function of GOEn. The correction terms to the limiting
probability distribution are expressed in terms of the same Painleve II
functions appearing in the Tracy-Widom distribution. We conclude with a brief
discussion of the GSEn case.


title:
The effect of the three-spin interaction and the next-nearest neighbor
  interaction on the quenching dynamics of a transverse Ising model

abstract:
  We study the zero temperature quenching dynamics of various extensions of the
transverse Ising model (TIM) when the transverse field is linearly quenched
from $-\infty$ to $+\infty$ (or zero) at a finite and uniform rate. The rate of
quenching is dictated by a characteristic scale given by $\tau$. The density of
kinks produced in these extended models while crossing the quantum critical
points during the quenching process is calculated using a many body
generalization of the Landau-Zener transition theory. The density of kinks in
the final state is found to decay as $\tau^{-1/2}$. In the first model
considered here, the transverse Ising Hamiltonian includes an additional
ferromagnetic three spin interaction term of strength $J_3$. For $J_3<0.5$, the
kink density is found to increase monotonically with $J_3$ whereas it decreases
with $J_3$ for $J_3>0.5$. The point $J_3=0.5$ and the transverse field
$h=-0.5$is multicritical where the density shows a slower decay given by
$\tau^{-1/6}$. We also study the effect of ferromagnetic or antiferromagnetic
next nearest neighbor (NNN) interactions on the dynamics of TIM under the same
quenching scheme. In a mean field approximation, the transverse Ising
Hamiltonians with NNN interactions are identical to the three spin Hamiltonian.
The NNN interactions non-trivially modifies the dynamical behavior, for example
an antiferromagnetic NNN interactions results to a larger number of kinks in
the final state in comparison to the case when the NNN interaction is
ferromagnetic.


title:
Semiclassical gravitational effects around global monopole in
  Brans-Dicke theory

abstract:
  In recent past, W.A.Hiscock [ Class.Quan.Grav. (1990) 7,6235 ] studied the
semi classical gravitational effects around global monopole. He obtained the
vacuum expectation value of the stress-energy tensor of an arbitrary collection
of conformal mass less free quantum fields (scalar, spinor and vectors) in the
space time of a global monopole. With this stress-energy tensor, we study the
semi classical gravitational effects of a global monopole in the context of
Brans-Dicke theory of gravity.


title:
A Global Uniqueness for Formally Determined Inverse Electromagnetic
  Obstacle Scattering

abstract:
  It is proved that a general polyhedral perfect conducting obstacle in
$\mathbb{R}^3$, possibly consisting of finitely many solid polyhedra, is
uniquely determined by the far-field pattern corresponding to a single incident
wave. This improves earlier results in the literature to the formally
determined case.


title:
Least squares type estimation of the transition density of a particular
  hidden Markov chain

abstract:
  In this paper, we study the following model of hidden Markov chain:
$Y_i=X_i+\epsilon_i$, $i=1,...,n+1$ with $(X_i)$ a real-valued stationary
Markov chain and $(\epsilon_i)_{1\leq i\leq n+1}$ a noise having a known
distribution and independent of the sequence $(X_i)$. We present an estimator
of the transition density obtained by minimization of an original contrast that
takes advantage of the regressive aspect of the problem. It is selected among a
collection of projection estimators with a model selection method. The
$L^2$-risk and its rate of convergence are evaluated for ordinary smooth noise
and some simulations illustrate the method. We obtain uniform risk bounds over
classes of Besov balls. In addition our estimation procedure requires no prior
knowledge of the regularity of the true transition. Finally, our estimator
permits to avoid the drawbacks of quotient estimators.


title: Total-variation cutoff in birth-and-death chains

abstract:
  The cutoff phenomenon describes a case where a Markov chain exhibits a sharp
transition in its convergence to stationarity. In 1996, Diaconis surveyed this
phenomenon, and asked how one could recognize its occurrence in families of
finite ergodic Markov chains. In 2004, the third author noted that a necessary
condition for cutoff in a family of reversible chains is that the product of
the mixing-time and spectral-gap tends to infinity, and conjectured that in
many settings, this condition should also be sufficient. Diaconis and
Saloff-Coste (2006) verified this conjecture for continuous-time
birth-and-death chains, started at an endpoint, with convergence measured in
separation. It is natural to ask whether the conjecture holds for these chains
in the more widely used total-variation distance.
  In this work, we confirm the above conjecture for all continuous-time or lazy
discrete-time birth-and-death chains, with convergence measured via
total-variation distance. Namely, if the product of the mixing-time and
spectral-gap tends to infinity, the chains exhibit cutoff at the maximal
hitting time of the stationary distribution median, with a window of at most
the geometric mean between the relaxation-time and mixing-time.
  In addition, we show that for any lazy (or continuous-time) birth-and-death
chain with stationary distribution $\pi$, the separation $1 - p^t(x,y)/\pi(y)$
is maximized when $x,y$ are the endpoints. Together with the above results,
this implies that total-variation cutoff is equivalent to separation cutoff in
any family of such chains.


title:
Over-populated Tails for conservative-in-the-mean Inelastic Maxwell
  Models

abstract:
  We introduce and discuss spatially homogeneous Maxwell-type models of the
nonlinear Boltzmann equation undergoing binary collisions with a random
component. The random contribution to collisions is such that the usual
collisional invariants of mass, momentum and energy do not hold pointwise, even
if they all hold in the mean. Under this assumption it is shown that, while the
Boltzmann equation has the usual conserved quantities, it possesses a steady
state with power-like tails for certain random variables. A similar situation
occurs in kinetic models of economy recently considered by two of the authors
[24], which are conservative in the mean but possess a steady distribution with
Pareto tails. The convolution-like gain operator is subsequently shown to have
good contraction/expansion properties with respect to different metrics in the
set of probability measures. Existence and regularity of isotropic stationary
states is shown directly by constructing converging iteration sequences as done
in [8]. Uniqueness, asymptotic stability and estimates of overpopulated high
energy tails of the steady profile are derived from the basic property of
contraction/expansion of metrics. For general initial conditions the solutions
of the Boltzmann equation are then proved to converge with computable rate as t
goes to infinity to the steady solution in these distances, which metricizes
the weak convergence of measures. These results show that power-like tails in
Maxwell models are obtained when the point-wise conservation of momentum and/or
energy holds only globally.


title: On the skeleton method and an application to a quantum scissor

abstract:
  In the spectral analysis of few one dimensional quantum particles interacting
through delta potentials it is well known that one can recast the problem into
the spectral analysis of an integral operator (the skeleton) living on the
submanifold which supports the delta interactions. We shall present several
tools which allow direct insight into the spectral structure of this skeleton.
We shall illustrate the method on a model of a two dimensional quantum particle
interacting with two infinitely long straight wires which cross one another at
a certain angle : the quantum scissor.


title: Unusual upper critical field of the ferromagnetic superconductor UCoGe

abstract:
  We report upper critical field $B_{c2}(T)$ measurements on a
single-crystalline sample of the ferromagnetic superconductor UCoGe.
$B_{c2}(0)$ obtained for fields applied along the orthorhombic axes exceeds the
Pauli limit for $B \parallel a,b$ and shows a strong anisotropy $B_{c2}^{a}
\simeq B_{c2}^{b} \gg B_{c2} ^{c}$. This provide evidence for an equal spin
pairing state and a superconducting gap function of axial symmetry with point
nodes along the c axis, which is also the direction of the uniaxial
ferromagnetic moment $m_0 = 0.07 \mu_{B}$. An unusual curvature or kink is
observed in the temperature variation of $B_{c2}$, which possibly indicates
UCoGe is a two-band ferromagnetic superconductor.


title: Anomalous thermoelectric power of Mg1-xAlxB2 system with x = 0.0 to 1.0

abstract:
  Thermoelectric power, S(T) of the Mg1-xAlxB2 system has been measured for x =
0.0, 0.1, 0.2, 0.4, 0.6, 0.8 and 1.0. XRD, resistivity and magnetization
measurements are also presented. It has been found that the thermoelectric
power is positive for x = 0.4 and is negative for x = 0.6 over the entire
temperature range studied up to 300 K. The thermoelectric power of x = 0.4
samples vanishes discontinuously below a certain temperature, implying
existence of superconductivity. In general, the magnitude of the thermoelectric
power increases with temperature up to a certain temperature, and then it
starts to decrease towards zero base line. In order to explain the observed
behavior of the thermoelectric power, we have used a model in which both
diffusion and phonon drag processes are combined by using a phenomenological
interpolation between the low and high temperature behaviors of the
thermoelectric power. The considered model provides an excellent fit to the
observed data. It is further found that Al doping enhances the Debye
temperature.


title: Kinematical superalgebras and Lie algebras of order 3

abstract:
  We study and classify kinematical algebras which appear in the framework of
Lie superalgebras or Lie algebras of order three. All these algebras are
related through generalised Inon\"u-Wigner contractions from either the
orthosymplectic superalgebra or the de Sitter Lie algebra of order three.


title:
Self-enrichment by AGB stars in Globular Clusters: comparison between
  intermediate and high metallicities

abstract:
  We present theoretical evolutionary sequences of intermediate mass stars
(M=3-6.5 solar masses) with metallicity Z=0.004. Our goal is to test whether
the self-enrichment scenario by massive Asymptotic Giant Branch stars may work
for the high metallicity Globular Clusters, after previous works by the same
group showed that the theoretical yields by this class of objects can reproduce
the observed trends among the abundances of some elements, namely the O-Al and
O-Na anticorrelations, at intermediate metallicities, i.e [Fe/H]=-1.3. We find
that the increase in the metallicity favours only a modest decrease of the
luminosity and the temperature at the bottom of the envelope for the same core
mass, and also the efficiency of the third dredge-up is scarcely altered. On
the contrary, differences are found in the yields, due to the different impact
that processes with the same efficiency have on the overall abundance of
envelopes with different metallicities. We expect the same qualitative patterns
as in the intermediate metallicity case, but the slopes of some of the
relationships among the abundances of some elements are different. We compare
the sodium-oxygen anticorrelation for clusters of intermediate metallicity
(Z~0.001) and clusters of metallicity large as in these new models. Although
the observational data are still too scarce, the models are consistent with the
observed trends, provided that only stars of M>5 solar masses contribute to
self-enrichment.


title: Stanley Depth of Multigraded Modules

abstract:
  The Stanley's Conjecture on Cohen-Macaulay multigraded modules is studied
especially in dimension 2. In codimension 2 similar results were obtained by
Herzog, Soleyman-Jahan and Yassemi. As a consequence of our results Stanley's
Conjecture holds in 5 variables.


title:
$\eta \to \pi^0 \gamma \gamma$ decay within a chiral unitary approach
  revisited

abstract:
  In view of the recent experimental developments on the experimental side in
the $\eta \to \pi^0 \gamma \gamma$ decay, and the fact that the Particle Data
Group in the on line edition of 2007 reports sizable changes of the radiative
decay widths of vector mesons used as input in the theoretical calculations of
\cite{eta}, a reevaluation of the decay width of the $\eta$ in this channel has
been done, reducing its uncertainty by almost a factor of two. The new input of
the PDG is used and invariant mass distributions and total widths are compared
with the most recent results from AGS, MAMI and preliminary ones of KLOE. The
agreement of the theory with the AGS and MAMI data is very good, both for the
total rates as well as for the invariant mass distributions of the two photons.


title: Bandstructure meets many-body theory: The LDA+DMFT method

abstract:
  Ab initio calculation of the electronic properties of materials is a major
challenge for solid state theory. Whereas the experience of forty years has
proven density functional theory (DFT) in a suitable, e.g. local approximation
(LDA) to give a satisfactory description in case electronic correlations are
weak, materials with strongly correlated, say d- or f-electrons remain a
challenge. Such materials often exhibit colossal responses to small changes of
external parameters such as pressure, temperature, and magnetic field, and are
therefore most interesting for technical applications.
  Encouraged by the success of dynamical mean field theory (DMFT) in dealing
with model Hamiltonians for strongly correlated electron systems, physicists
from the bandstructure and many-body communities have joined forces and have
developed a combined LDA+DMFT method for treating materials with strongly
correlated electrons ab initio. As a function of increasing Coulomb
correlations, this new approach yields a weakly correlated metal, a strongly
correlated metal, or a Mott insulator.
  In this paper, we introduce the LDA+DMFT by means of an example, LaMnO_3 .
Results for this material, including the colossal magnetoresistance of doped
manganites are presented. We also discuss advantages and disadvantages of the
LDA+DMFT approach.


title: iGUT: Grand Unified Theory on Interval

abstract:
  We investigate a construction of five-dimensional (5D) grand unified theories
(GUTs) on an interval, which we call iGUTs. We analyze supersymmetric SO(10)
iGUT as an example, where the gauge multiplet is spread over the 5D bulk. The
SO(10) is directly reduced to the standard model gauge symmetry through the
interval boundary conditions. Notice that this rank reduction is impossible in
case of GUTs on orbifolds. Four scenarios are possible according to locations
(bulk or brane) of Higgs and matter fields. We investigate the gauge-coupling
unification, the proton decay, the SO(10) GUT features such as t-b-tau
unification and so on in each scenario. We also comment on the flavor
phenomenology.


title: Operators with Corener-degenerate Symbols

abstract:
  We establish elements of a new approch to ellipticity and parametrices within
operator algebras on a manifold with higher singularities, only based on some
general axiomatic requirements on parameter-dependent operators in suitable
scales of spaces. The idea is to model an iterative process with new
generations of parameter-dependent operator theories, together with new scales
of spaces that satisfy analogous requirements as the original ones, now on a
corresponding higher level.
  The "full" calculus is voluminous; so we content ourselves here with some
typical aspects such as symbols in terms of order reducing families, classes of
relevant examples, and operators near a corner point.


title: Polarized polariton condensates and coupled XY models

abstract:
  Microcavity polaritons, which at low temperatures can condense to a
macroscopic coherent state, possess a polarization degree of freedom. This
article discusses the phase diagram of such a system, showing the boundaries
between differently polarized condensates. The Bogoliubov approximation is
shown to have problems in describing the transition between differently
polarized phases; the Hartree-Fock-Popov approximation performs better, and
compares well to exact results that can be used in the limit where the left-
and right-circular polarization states decouple. The effect on the phase
boundary of various symmetry breaking terms present in real microcavities are
also considered.


title: Premi\`ere valeur propre du laplacien, volume conforme et chirurgies

abstract:
  We define a new differential invariant a compact manifold by $V_{\mathcal
M}(M)=\inf_g V_c(M,[g])$, where $V_c(M,[g])$ is the conformal volume of $M$ for
the conformal class $[g]$, and prove that it is uniformly bounded above. The
main motivation is that this bound provides a upper bound of the
Friedlander-Nadirashvili invariant defined by $\inf_g\sup_{\tilde
g\in[g]}\lambda_1(M,\tilde g)\Vol(M,\tilde g)^{\frac 2n}$.
  The proof relies on the study of the behaviour of $V_{\mathcal M}(M)$ when
one performs surgeries on $M$.


title: Thermodynamics meets Special Relativity -- or what is real in Physics?

abstract:
  In this paper we carefully reexamine the various framworks existing in the
field of relativistic thermodynamics. We scrutinize in particular the different
conceptual foundations of notions like the relativistic work, heat force,
moving heat and relativistic temperature. As to the latter notion we argue
that, as in ordinary thermodynamics, relativistic absolute temperature should
be introduced operationally via relativistic Carnot processes. We exhibit the
more implicit or even hidden tacit preassumptions being made and point to a
couple of gaps, errors and inconclusive statements in some of the existing
literature. We show in particular that there is a wide-spread habit to draw
general conclusions from the analysis of too restricted and special
thermodynamic processes, e.g. processes with constant pressure, which is
dangerous and sometimes leads to wrong results. Furthermore, we give a detailed
analysis of the so-called zeroth law of relativistic thermodynamics with the
help of a relativistic Carnot process. We rigorously show that, contrary to
certain statements in the literature, thermodynamic systems at different
relativistic temperatures, moving relative to each other, can thermally stably
coexist provided that their respective temperatures obey a certain functional
relation (given by the Lorentz factor). This implies however that their
respective rest temperatures are the same.


title:
Two-component repulsive Fermi gases with population imbalance in
  elongated harmonic traps

abstract:
  We study the two-component repulsive Fermi gas with imbalanced populations in
one dimension. Starting from the Bethe Ansatz solution we calculate
analytically the phase diagram for the homogeneous system. We show that three
phases appear: the balanced phase, the fully polarised phase and the partially
polarised phase. By means of the local density approximation and the equation
of state for the homogeneous system we calculate the density profile for the
harmonically confined case. We show that a two-shell structure appears: at the
center of the cloud we find the partially polarised phase and at the edges the
fully polarised one. The radii of the inner and outer shells are calculated for
different values of the polarisation and the coupling strength. We calculate
the dependence of the magnetisation on the polarisation for different values of
the coupling strength and we show that the susceptibility is always finite.


title: Multi-graviton theory in vierbein formalism

abstract:
  Recently, multi-graviton theory on a simple closed circuit graph
corresponding to the $S^1$ compactification of the Kaluza-Klein (KK) theory has
been considered. In the present paper, we extend this theory to that on a
general graph and study what modes of particles are included. Furthermore, we
generalize it in a possible non-linear theory based on the vierbein formalism
and study cosmological solutions.


title:
Determination of $\eta\to\pi^+\pi^-\pi^0$ Dalitz plot slopes and
  asymmetries with the KLOE detector

abstract:
  We have studied, with the KLOE detector at the DA$\Phi$NE $\Phi$-Factory, the
dynamics of the decay $\eta\to\pi^+\pi^-\pi^0$ using $\eta$ mesons from the
decay $\phi\to\eta\gamma$ for an integrated luminosity ${\mathcal L}$ = 450
pb$^{-1}$. From a fit to the Dalitz plot density distribution we obtain a
precise measurement of the slope parameters. An alternative parametrization
relates the $\pi^+\pi^-\pi^0$ slopes to that for $\eta\to 3\pi^0$ showing the
consistency of KLOE results for both channels. We also obtain the best
confirmation of the $C$-invariance in the $\eta\to\pi^+\pi^-\pi^0$ decay.


title:
Probing neutrino magnetic moment and unparticle interactions with
  Borexino

abstract:
  We discuss the limits on the neutrino magnetic moment and hypothetical
interactions with a hidden unparticle sector, coming from the first neutrino
data release of the Borexino experiment. The observed spectrum in Borexino
depends weakly on the solar model used in the analysis, since most of the
signal comes from the mono-energetic 7Be neutrinos. This fact allows us to
calibrate the nu-e scattering cross section through the spectral shape. In this
way, we have derived a limit on the magnetic moment for the neutrinos coming
from the Sun (in which a nu_mu and nu_tau component is present): mu_nu<8.4E-11
mu_B (90%CL) which is comparable with those obtained from low energy reactor
experiments. Moreover, we improve the previous upper limit on magnetic moment
of the nu_tau by three orders of magnitude and the limit on the coupling
constant of the neutrino with a hidden unparticle sector.


title: Embedding properties of endomorphism semigroups

abstract:
  Denote by PSelf(X) (resp., Self(X)) the partial (resp., full) transformation
monoid over a set X, and by Sub(V) (resp., End(V)) the collection of all
subspaces (resp., endomorphisms) of a vector space V. We prove various results
that imply the following: (1) If X has at least two elements, then Self(X) has
a semigroup embedding into the dual of Self(Y) iff card(Y) >= 2^card(X). In
particular, if X has at least two elements, then there exists no semigroup
embedding from Self(X) into the dual of PSelf(X). (2) If V is
infinite-dimensional, then there are no embedding from (Sub(V),+) into
(Sub(V),\cap) and no semigroup embedding from End(V) into its dual. (3) Let F
be an algebra freely generated by an infinite subset X. If F has less than
2^card(X) operations, then End(F) has no semigroup embedding into its dual. The
cardinality bound 2^card(X) is optimal. (4) Let F be a free left module over a
left aleph one - noetherian ring (i.e., a ring without strictly increasing
chains, of length aleph one, of left ideals). Then End(F) has no semigroup
embedding into its dual. (1) and (2) above solve questions proposed by B. M.
Schein and G. M. Bergman. We also formalize our results in the settings of
algebras endowed with a notion of independence (in particular independence
algebras).


title:
To better understand the formation of short-chain acids in combustion
  systems

abstract:
  Our study aims at a better control and understanding of the transfer of a
complex [DNA supercoiled plasmid - dodecyltrimethylammonium surfactant] layer
from a liquid-vapour water interface onto a silicon surface without any
additional cross-linker. The production of the complexed layer and its transfer
from the aqueous subphase to the substrate is achieved with a Langmuir-Blodgett
device. The substrate consists of a reconstructed boron doped silicon substrate
with a nanometer-scale roughness. Using X-ray photoelectron spectroscopy and
atomic force microscopy measurements, it is shown that the DNA complexes are
stretched in a disorderly manner throughout a 2-4 nm high net-like structure.
The mechanism of transfer of this layer onto the planar surface of the
semi-conductor and the parameters of the process are analysed and illustrated
by atomic force microscopy snapshots. The molecular layer exhibits the typical
characteristics of a spinodal decomposition pattern or dewetting features.
Plasmid molecules appear like long flattened fibers covering the surface,
forming holes of various shapes and areas. The cluster-cluster aggregation of
the complex structure gets very much denser on the substrate edge. The
supercoiled DNA plasmids undergo conformational changes and a high degree of
condensation and aggregation is observed.


title: Three flavours of Hybrid or $\pi$ exhange: which is more attractive?

abstract:
  This review summarises issues that have arisen since the appearance of
"Rumsfeld Hadrons". We show that signals $\phi(2175)$; Y(4260) and
$\Upsilon(10890)$ in the \ssbar, \cc and \bb share features that point to the
possible role of $\pi$ exchange forces between flavoured mesons generating
effects that can mimic hybrid mesons. The flavour dependence of these phenomena
may help to resolve this question.


title: Two-loop electroweak Sudakov logarithms for massive fermion scattering

abstract:
  We study the asymptotic behaviour of two-loop electroweak corrections at
energies Q >> M_W, where logarithms of the type ln(Q/M_W) become dominant. The
calculation of the leading and next-to-leading logarithmic terms for massless
and massive fermion-scattering processes is summarized. The derivations are
performed diagrammatically within the spontaneously broken electroweak theory.
We find that the soft and collinear singularities resulting from photons can be
factorized into a QED-like term and that, up to logarithms of the Z-W mass
ratio, the effects of symmetry breaking cancel. This result supports
resummation prescriptions that are based on a symmetric SU(2)xU(1) theory
matched with QED at the electroweak scale.


title: Modulated Inflation

abstract:
  We have studied modulated inflation that generates curvature perturbation
from light-field fluctuation. As discussed in previous works, even if the
fluctuation of the inflaton itself does not generate the curvature perturbation
at the horizon crossing, fluctuation of a light field may induce fluctuation
for the end-line of inflation and this may lead to generation of cosmological
perturbation ``at the end of the inflation''. Our scenario is different from
those that are based on the fluctuations of the boundary of the inflaton
trajectory, as clearly explained in this paper by using the $\delta N$
formalism. In this paper, we will consider the perturbation of the inflaton
velocity that can be induced by a light field other than the inflaton. We also
explain the crucial difference from the standard multi-field inflation model.
We show concrete examples of the modulated inflation scenario in which
non-gaussianity can be generated. We also discuss the running of the
non-gaussianity parameter.


title: Extinction curves flattened by reverse shocks in supernovae

abstract:
  We investigate the extinction curves of young galaxies in which dust is
supplied from Type II supernovae (SNe II) and/or pair instability supernovae
(PISNe). Since at high redshift (z>5), low-mass stars cannot be dominant
sources for dust grains, SNe II and PISNe, whose progenitors are massive stars
with short lifetimes, should govern the dust production. Here, we theoretically
investigate the extinction curves of dust produced by SNe II and PISNe, taking
into account reverse shock destruction induced by collision with ambient
interstellar medium. We find that the extinction curve is sensitive to the
ambient gas density around a SN, since the efficiency of reverse shock
destruction strongly depends on it. The destruction is particularly efficient
for small-sized grains, leading to a flat extinction curve in the optical and
ultraviolet wavelengths. Such a large ambient density as n_H > 1 cm^{-3}
produces too flat an extinction curve to be consistent with the observed
extinction curve for SDSS J104845.05+463718.3 at z=6.2. Although the extinction
curve is highly sensitive to the ambient density, the hypothesis that the dust
is predominantly formed by SNe at z~6 is still allowed by the current
observational constraints. For further quantification, the ambient density
should be obtained by some other methods. Finally we also discuss the
importance of our results for observations of high-z galaxies, stressing a
possibility of flat extinction curves.


title: Equivalence relations for two variable real analytic function germs

abstract:
  For two variable real analytic function germs we compare the blow-analytic
equivalence in the sense of Kuo to the other natural equivalence relations. Our
main theorem states that $C^1$ equivalent germs are blow-analytically
equivalent. This gives a negative answer to a conjecture of Kuo. In the proof
we show that the Puiseux pairs of real Newton-Puiseux roots are preserved by
the $C^1$ equivalence of function germs. The proof is achieved, being based on
a combinatorial characterisation of blow-analytic equivalence in terms of the
real tree model.
  We also give several examples of bi-Lipschitz equivalent germs that are not
blow-analytically equivalent.


title: Towards the theory of ferrimagnetism

abstract:
  Two-sublattice ferrimagnet, with spin-$s_1$ operators $\bf{S_{1i}}$ at the
sublattice $A$ site and spin-$s_2$ operators $\bf{S_{2i}}$ at the sublattice
$B$ site, is considered. The magnon of the system, the transversal fluctuation
of the total magnetization, is a complicate mixture of the transversal
fluctuations of the sublattice $A$ and $B$ spins. As a result, the magnons'
fluctuations suppress in a different way the magnetic orders of the $A$ and $B$
sublattices and one obtains two phases. At low temperature $(0,T^*)$ the
magnetic orders of the $A$ and $B$ spins contribute to the magnetization of the
system, while at the high temperature $(T^*,T_N)$, the magnetic order of the
spins with a weaker intra-sublattice exchange is suppressed by magnon
fluctuations, and only the spins with stronger intra-sublattice exchange has
non-zero spontaneous magnetization. The $T^*$ transition is a transition
between two spin-ordered phases in contrast to the transition from spin-ordered
state to disordered state ($T_N$-transition). There is no additional symmetry
breaking, and the Goldstone boson has a ferromagnetic dispersion in both
phases. A modified spin-wave theory is developed to describe the two phases.
All known Neel's anomalous $M(T)$ curves are reproduced, in particular that
with "compensation point". The theoretical curves are compared with
experimental ones for sulpho-spinel $MnCr2S_{4-x}Se_{x}$ and rare earth iron
garnets.


title:
The distance to the Galactic Centre based on Population-II Cepheids and
  RR Lyrae stars

abstract:
  Context: The distance to the Galactic Centre (GC) is of importance for the
distance scale in the Universe. The value derived by Eisenhauer et al. (2005)
of 7.62 +- 0.32 kpc based on the orbit of one star around the central black
hole is shorter than most other distance estimates based on a variety of
different methods. Aim: To establish an independent distance to the GC with
high accuracy. To this end Population-II Cepheids are used that have been
discovered in the OGLE-II and III surveys. Method: Thirty-nine Pop-II Cepheids
have been monitored on 4 nights spanning 14 days. Light curves have been fitted
using the known periods from the OGLE data to determine the mean K-band
magnitude. It so happens that 37 RR Lyrae stars are in the field-of-views and
mean K-band magnitudes are derived for this sample as well. Results: The
period-luminosity relation of Pop-II Cepheids in the K-band is determined, and
the derived slope of -2.24 +- 0.14 is consistent with the value derived by
Matsunaga et al. (2006). Fixing the slope to their more accurate value results
in a zero point, and implies a distance modulus to the GC of 14.51 +- 0.12,
with an additional systematic uncertainty of 0.07 mag. Similarly, from the RR
Lyrae K-band PL-relation we derive a value of 14.48 +- 0.17 (random) +- 0.07
(syst.). The two independent determinations are averaged to find 14.50 +- 0.10
(random) +- 0.07 (syst.), or 7.94 +- 0.37 +- 0.26 kpc.


title: Quantum Noise in the Collective Abstraction Reaction A+B $_2\to$ AB+B

abstract:
  We demonstrate theoretically that the collective abstraction reaction A+B$_2
\to$ AB+B can be realized efficiently with degenerate bosonic or fermionic
matter waves. We show that this is dominated by quantum fluctuations, which are
critical in triggering its initial stages with the appearance of macroscopic
non-classical correlations of the atomic and molecular fields as a result. This
study opens up a promising new regime of quantum degenerate matter-wave
chemistry.


title: On a Crucial Problem in Probabilities and Solution

abstract:
  First the crucial but very confidential fact is brought into evidence that,
as Kolmogorov himself repeatedly claimed, there exists no abstract theory of
probabilities, simply because the factual concept of probability is itself
unachieved: it is nowhere specified how to construct the factual probability
law to be asserted on a given physical random phenomenon. Then an algorithm of
semantic integration is built that permits to identify this factual probability
law.


title: Global and exponential attractors for the Penrose-Fife system

abstract:
  The Penrose-Fife system for phase transitions is addressed. Dirichlet
boundary conditions for the temperature are assumed. Existence of global and
exponential attractors is proved. Differently from preceding contributions,
here the energy balance equation is both singular at 0 and degenerate at
infinity. For this reason, the dissipativity of the associated dynamical
process is not trivial and has to be proved rather carefully.


title: Dynamo Transition in Low-dimensional Models

abstract:
  Two low-dimensional magnetohydrodynamic models containing three velocity and
three magnetic modes are described. One of them (nonhelical model) has zero
kinetic and current helicity, while the other model (helical) has nonzero
kinetic and current helicity. The velocity modes are forced in both these
models. These low-dimensional models exhibit a dynamo transition at a critical
forcing amplitude that depends on the Prandtl number. In the nonhelical model,
dynamo exists only for magnetic Prandtl number beyond 1, while the helical
model exhibits dynamo for all magnetic Prandtl number. Although the model is
far from reproducing all the possible features of dynamo mechanisms, its
simplicity allows a very detailed study and the observed dynamo transition is
shown to bear similarities with recent numerical and experimental results.

categories: nlin.CD astro-ph nlin.SI physics.plasm-ph


title: Modelling the dynamical evolution of the Bootes dwarf spheroidal galaxy

abstract:
  We investigate a wide range of possible evolutionary histories for the
recently discovered Bootes dwarf spheroidal galaxy, a Milky Way satellite. By
means of N-body simulations we follow the evolution of possible progenitor
galaxies of Bootes for a variety of orbits in the gravitational potential of
the Milky Way. The progenitors considered cover the range from dark-matter-free
star clusters to massive, dark-matter dominated outcomes of cosmological
simulations. For each type of progenitor and orbit we compare the observable
properties of the remnant after 10 Gyr with those of Bootes observed today. Our
study suggests that the progenitor of Bootes must have been, and remains now,
dark matter dominated. In general our models are unable to reproduce the
observed high velocity dispersion in Bootes without dark matter. Our models do
not support time-dependent tidal effects as a mechanism able to inflate
significantly the internal velocity dispersion. As none of our initially
spherical models is able to reproduce the elongation of Bootes, our results
suggest that the progenitor of Bootes may have had some intrinsic flattening.
Although the focus of the present paper is the Bootes dwarf spheroidal, these
models may be of general relevance to understanding the structure, stability
and dark matter content of all dwarf spheroidal galaxies.


title: Long time convergence for a class of variational phase field models

abstract:
  In this paper we analyze a class of phase field models for the dynamics of
phase transitions which extend the well-known Caginalp and Penrose-Fife models.
Existence and uniqueness of the solution to the related initial boundary value
problem are shown. Further regularity of the solution is deduced by exploiting
the so-called regularizing effect. Then, the large time behavior of such a
solution is studied and several convergence properties of the trajectory as
time tends to infinity are discussed.


title: The catalog of short periods stars from the ''Pi of the Sky'' data

abstract:
  Based on the data from the ''Pi of the Sky'' project we made a catalog of the
variable stars with periods from 0.1 to 10 days. We used data collected during
a period of two years (2004 and 2005) and classified 725 variable stars. Most
of the stars in our catalog are eclipsing binaries - 464 (about 64%), while the
number of pulsating stars is 125 (about 17%). Our classification is based on
the shape of the light curve, as in the GCVS catalog. However, some stars in
our catalog were classified as of different type than in the GCVS catalog. We
have found periods for 15 stars present in the GCVS catalog with previously
unknown period.


title:
Cluster formation in asymmetric nuclear matter: semi-classical and
  quantal approaches

abstract:
  The nuclear-matter liquid-gas phase transition induces instabilities against
finite-size density fluctuations. This has implications for both
heavy-ion-collision and compact-star physics. In this paper, we study the
clusterization properties of nuclear matter in a scenario of spinodal
decomposition, comparing three different approaches: the quantal RPA, its
semi-classical limit (Vlasov method), and a hydrodynamical framework. The
predictions related to clusterization are qualitatively in good agreement
varying the approach and the nuclear interaction. Nevertheless, it is shown
that i) the quantum effects reduce the instability zone, and disfavor
short-wavelength fluctuations; ii) large differences appear bewteen the two
semi-classical approaches, which correspond respectively to a collisionless
(Vlasov) and local equilibrium description (hydrodynamics); iii) the
isospin-distillation effect is stronger in the local equilibrium framework; iv)
important variations between the predicted time-scales of cluster formation
appear near the borders of the instability region.


title: Generalized MacMahon G(q) as q-deformed CFT Correlation Function

abstract:
  Using $\Gamma_{\pm}(z) $ vertex operators of the $c=1$ two dimensional
conformal field theory, we give a 2d-quantum field theoretical derivation of
the conjectured d- dimensional MacMahon function G$_{d}(q) $. We interpret this
function G$_{d}(q) $ as a $(d+1) $- point correlation function
$\mathcal{G}_{d+1}(z_{0},...,z_{d}) $ of some local vertex operators
$\mathcal{O}%_{j}(z_{j}) $. We determine these operators and show that they are
particular composites of q-deformed hierarchical vertex operators $% \Gamma
_{\pm}^{(p)}$, with a positive integer p. In agreement with literature's
results, we find that G$_{d}(q) $, $d\geq 4$, cannot be the generating
functional of all \textit{d- dimensional} generalized Young diagrams .


title: Regular sequences of symmetric polynomials

abstract:
  Denote by p_k the k-th power sum symmetric polynomial n variables. The
interpretation of the q-analogue of the binomial coefficient as Hilbert
function leads us to discover that n consecutive power sums in n variables form
a regular sequence. We consider then the following problem: describe the
subsets n powersums forming a regular sequence. A necessary condition is that
n! divides the product of the degrees of the elements. To find an easily
verifiable sufficient condition turns out to be surprisingly difficult already
in 3 variables. Given positive integers a<b<c with GCD(a,b,c)=1, we conjecture
that p_a, p_b, p_c is a regular sequence for n=3 if and only if 6 divides abc.
We provide evidence for the conjecture by proving it in several special
instances.


title: Hamiltonian structure of the complex Monge-Amp\`ere equation

abstract:
  We discover Hamiltonian structure of the complex Monge-Amp`ere equation when
written in a first order two-component form. We present Lagrangian and
Hamiltonian functions, a symplectic form and the Hamiltonian operator that
determines the Poisson bracket.

categories: physics.class-ph math-ph math.MP physics.gen-ph


title: On the derived category of an algebra over an operad

abstract:
  We present a general construction of the derived category of an algebra over
an operad and establish its invariance properties. A central role is played by
the enveloping operad of an algebra over an operad.


title: Simple Modules for Groups with Abelian Sylow 2-Subgroups are Algebraic

abstract:
  Let G be a finite group and let p be a prime. A module for G over a field of
characteristic p is called algebraic if it satisfies a polynomial, with
addition and multiplication given by direct sum and tensor product. In some
sense, having this property is equivalent to the tensor structure being 'nice'
for that module.
  In this paper we prove that if G is a group with abelian Sylow 2-subgroups,
and p=2, then all simple modules for G are algebraic. We include the conjecture
that this result holds for all abelian 2-blocks.


title: MRI/TRUS data fusion for prostate brachytherapy. Preliminary results

abstract:
  Prostate brachytherapy involves implanting radioactive seeds (I125 for
instance) permanently in the gland for the treatment of localized prostate
cancers, e.g., cT1c-T2a N0 M0 with good prognostic factors. Treatment planning
and seed implanting are most often based on the intensive use of transrectal
ultrasound (TRUS) imaging. This is not easy because prostate visualization is
difficult in this imaging modality particularly as regards the apex of the
gland and from an intra- and interobserver variability standpoint. Radioactive
seeds are implanted inside open interventional MR machines in some centers.
Since MRI was shown to be sensitive and specific for prostate imaging whilst
open MR is prohibitive for most centers and makes surgical procedures very
complex, this work suggests bringing the MR virtually in the operating room
with MRI/TRUS data fusion. This involves providing the physician with
bi-modality images (TRUS plus MRI) intended to improve treatment planning from
the data registration stage. The paper describes the method developed and
implemented in the PROCUR system. Results are reported for a phantom and first
series of patients. Phantom experiments helped characterize the accuracy of the
process. Patient experiments have shown that using MRI data linked with TRUS
data improves TRUS image segmentation especially regarding the apex and base of
the prostate. This may significantly modify prostate volume definition and have
an impact on treatment planning.


title: Poisson suspensions and infinite ergodic theory

abstract:
  We investigate ergodic theory of Poisson suspensions. In the process, we
establish close connections between finite and infinite measure preserving
ergodic theory. Poisson suspensions thus provide a new approach to infinite
measure preserving ergodic theory. Fields investigated here are mixing
properties, spectral theory, joinings. We also compare Poisson suspensions to
the apparently similar looking Gaussian dynamical systems.


title: Poincare Inequality on the Path Space of Poisson Point Processes

abstract:
  The quasi-invariance is proved for the distributions of Poisson point
processes under a random shift map on the path space. This leads to a natural
Dirichlet form of jump type on the path space. Differently from the O-U
Dirichlet form on the Wiener space satisfying the log-Sobolev inequality, this
Dirichlet form merely satisfies the Poincare inequality but not the log-Sobolev
one.


title:
Transport in anisotropic model systems analyzed by a correlated
  projection superoperator technique

abstract:
  By using a correlated projection operator, the time-convolutionless (TCL)
method to derive a quantum master equation can be utilized to investigate the
transport behavior of quantum systems as well. Here, we analyze a
three-dimensional anisotropic quantum model system according to this technique.
The system consists of Heisenberg coupled two-level systems in one direction
and weak random interactions in all other ones. Depending on the partition
chosen, we obtain ballistic behavior along the chains and normal transport in
the perpendicular direction. These results are perfectly confirmed by the
numerical solution of the full time-dependent Schr\"odinger equation.


title:
Metal-insulator transition in an aperiodic ladder network: an exact
  result

abstract:
  We show, in a completely analytical way, that a tight binding ladder network
composed of atomic sites with on-site potentials distributed according to the
quasiperiodic Aubry model can exhibit a metal-insulator transition at multiple
values of the Fermi energy. For specific values of the first and second
neighbor electron hopping, the result is obtained exactly. With a more general
model, we calculate the two-terminal conductance numerically. The numerical
results corroborate the analytical findings and yield a richer variety of
spectrum showing multiple mobility edges.


title: A Note on Non-compact Cauchy surface

abstract:
  It is shown that if a space-time has non-compact Cauchy surface, then its
topological, differentiable, and causal structure are completely determined by
a class of compact subsets of its Cauchy surface. Since causal structure
determines its topological, differentiable, and conformal structure of
space-time, this gives a natural way to encode the corresponding structures
into its Cauchy surface.


title:
ARPES Study of the Evolution of Band Structure and Charge Density Wave
  Properties in RTe3 for R = Y, La, Ce, Sm, Gd, Tb and Dy

abstract:
  We present a detailed ARPES investigation of the RTe3 family, which sets this
system as an ideal "textbook" example for the formation of a nesting driven
Charge Density Wave (CDW). This family indeed exhibits the full range of
phenomena that can be associated to CDW instabilities, from the opening of
large gaps on the best nested parts of Fermi Surface (FS) (up to 0.4eV), to the
existence of residual metallic pockets. ARPES is the best suited technique to
characterize these features, thanks to its unique ability to resolve the
electronic structure in k-space. An additional advantage of RTe3 is that the
band structure can be very accurately described by a simple 2D tight-binding
(TB) model, which allows one to understand and easily reproduce many
characteristics of the CDW. In this paper, we first establish the main features
of the electronic structure, by comparing our ARPES measurements with Linear
Muffin-Tin Orbital band calculations. We use this to define the validity and
limits of the TB model. We then present a complete description of the CDW
properties and, for the first time, of their strong evolution as a function of
R. Using simple models, we are able to reproduce perfectly the evolution of
gaps in k-space, the evolution of the CDW wave vector with R and the shape of
the residual metallic pockets. Finally, we give an estimation of the CDW
interaction parameters and find that the change in the electronic density of
states n(Ef), due to lattice expansion when different R ions are inserted, has
the correct order of magnitude to explain the evolution of the CDW properties.


title: Cosmological particle production in emergent rainbow spacetimes

abstract:
  We investigate cosmological particle production in spacetimes where Lorentz
invariance emerges in the infrared limit, but is explicitly broken in the
ultraviolet regime. Our specific model focuses on the boost subgroup that
supports CPT invariance and results in a momentum-dependent dispersion
relation. Motivated by previous studies on spacetimes emerging from a
microscopic substrate, we show how these modifications naturally lead to
momentum-dependent rainbow metrics. Firstly, we investigate the possibility of
reproducing cosmological particle production in spacetimes emerging from real
Bose gases. We have studied the influence of non-perturbative ultraviolet
corrections in time-dependent analogue spacetimes, leading to
momentum-dependent emergent rainbow spacetimes. Within certain limits the
analogy is sufficiently good to simulate relativistic quantum field theory in
time-dependent classical backgrounds, and the quantum effects are approximately
robust against the model-dependent modifications. Secondly, we analyze how
significantly the particle production process deviates from the common picture.
While very low-energy modes do not see the difference at all, some modes
"re-enter the Hubble horizon" during the inflationary epoch, and extreme
ultraviolet modes are completely insensitive to the expansion.


title: Binary populations and stellar dynamics in young clusters

abstract:
  We first summarize work that has been done on the effects of binaries on
theoretical population synthesis of stars and stellar phenomena. Next, we
highlight the influence of stellar dynamics in young clusters by discussing a
few candidate UFOs (unconventionally formed objects) like intermediate mass
black holes, Eta Carinae, Zeta Puppis, Gamma Velorum and WR 140.


title: Angular Momentum of a Photon and Phase Conjugation

abstract:
  Using the concept of an ideal phase-conjugating mirror we demonstrate that
regardless of internal physical mechanism the phase-conjugation of a singular
laser beam is accompanied by excitation within the mirror of internal waves
which carry doubled angular momentum in order to match angular momentum
conservation. For a Brillouin hypersound wavefront-reversal mirror this means
that each elementary optical vortex belonging to a speckle pattern emits an
acoustical vortex wave with doubled topological charge. The exact spatial
profiles of light intensity and the intensity of hypersound in the vicinity of
the phase singularity are obtained. These spiral profiles have a form of double
helix which rotates with the frequency of sound. An optoacoustic experiment is
proposed for visualization of the wavefront reversal of twisted optical beams
and tunable twisted sound generation.

categories: nlin.PS cond-mat.soft physics.flu-dyn physics.optics quant-ph


title:
What determines the mass of the most massive star cluster in a galaxy:
  statistics, physics or disruption?

abstract:
  In many different galactic environments the cluster initial mass function
(CIMF) is well described by a power-law with index -2. This implies a linear
relation between the mass of the most massive cluster (M_max) and the number of
clusters. Assuming a constant cluster formation rate and no disruption of the
most massive clusters it also means that M_max increases linearly with age when
determining M_max in logarithmic age bins. We observe this increase in five out
of the seven galaxies in our sample, suggesting that M_max is determined by the
size of the sample. It also means that massive clusters are very stable against
disruption, in disagreement with the mass independent disruption (MID) model
presented at this conference. For the clusters in M51 and the Antennae galaxies
the size-of-sample prediction breaks down around 10^6 M_sun, suggesting that
this is a physical upper limit to the masses of star clusters in these
galaxies. In this method there is a degeneracy between MID and a CIMF
truncation. We show how the cluster luminosity function can serve as a tool to
distinguish between the two.


title: Super Fuzzy Matrices and Super Fuzzy Models for Social Scientists

abstract:
  This book introduces the concept of fuzzy super matrices and operations on
them. This book will be highly useful to social scientists who wish to work
with multi-expert models. Super fuzzy models using Fuzzy Cognitive Maps, Fuzzy
Relational Maps, Bidirectional Associative Memories and Fuzzy Associative
Memories are defined here. The authors introduce 13 multi-expert models using
the notion of fuzzy supermatrices. These models are described with illustrative
examples. This book has three chapters. In the first chaper, the basic concepts
about super matrices and fuzzy super matrices are recalled. Chapter two
introduces the notion of fuzzy super matrices adn their properties. The final
chapter introduces many super fuzzy multi expert models.


title: On asymptotic stability in 3D of kinks for the $\phi ^4$ model

abstract:
  We add to a kink, which is a 1 dimensional structure, two transversal
directions. We then check its asymptotic stability with respect to compactly
supported perturbations in 3D and a time evolution under a Nonlinear Wave
Equation (NLW). The problem is inspired by work by Jack Xin on asymptotic
stability in dimension larger than 1 of fronts for reaction diffusion
equations. The proof involves a separation of variables. The transversal
variables are treated as in work on Nonlinear Klein Gordon Equation (NLKG)
originating from Klainerman and from Shatah in a particular elaboration due to
Delort and others. The longitudinal variable is treated by means of a result by
Weder on dispersion for Schroedinger operators in 1D.


title: Heavy Quarkonium Spectroscopy

abstract:
  This paper reviews the experimental status of the Heavy Quarkonium
Spectroscopy and highlights the measurements that hint at the existence of a
new form of quark and gluon aggregation beyond the mesons and the baryons.


title: Event shapes in $e^+e^-$ annhilation at NNLO

abstract:
  We report first results on the calculation of NNLO corrections to event shape
distributions in electron-positron annhilation. The corrections are sizeable
for all variables, however their magnitude is substantially different for
different observables. We observe that inclusion of the NNLO corrections yields
a considerably better agreement between theory and experimental data both in
shape and normalisation of the event shape distributions.


title: New Classes of Codes for Cryptologists and Computer Scientists

abstract:
  In this book, we have introduced several new classes of codes to aid
cryptologists and computer scientists. We have explained these codes very
non-technically so that a strong mathematical foundation is not needed to
understand them. This book also provides an easy method to detect and correct
errors that occur during transmission. Further, some of the codes are
constructed so as to mislead an intruder/ hacker. False n-codes, whole n-codes
can serve this pupose. These codes can be used to ensure security in networks
and safe transmission of identity. We have named a few new classes of codes
after Periyar, the south-Indian social leader, to mark his services to
humanity. This book is divided into three chapters. Chapter one is introductory
in nature. The notion of bicodes and their generalization, and n-codes are
introduced in the second chapter. Periyar linear codes are introduced in the
third chapter. We have used two methods, viz. pseudo best n-approximations and
n-coset leader properties to detect and correct errors.


title: QCD radiation effects on the H->WW->l nu l nu signal at the LHC

abstract:
  The discovery of a Standard Model Higgs boson is possible when experimental
cuts are applied which increase the ratio of signal and background
cross-sections. In this paper we study the pp->H->WW signal cross-section at
the LHC which requires a selection of Higgs bosons with small transverse
momentum. We compare predictions for the efficiency of the experimental cuts
from a NNLO QCD calculation, a calculation of the resummation of logarithms in
the transverse momentum of the Higgs boson at NNLL, and the event generator
MC@NLO. We also investigate the impact of various jet-algorithms, the
underlying event and hadronization on the signal cross-section.


title:
Microscopic structure of electrowetting-driven transitions on
  superhydrophobic surfaces

abstract:
  We investigate directly at the microscale the morphology of the
electrowetting induced transition between the Cassie-Baxter and Wenzel states
for a water droplet on a superhydrophobic surface. Our experiments demonstrate
that the transition originates in a very narrow annular region near the
macroscopic contact line, which is first invaded by water and causes a thin
film of air to be entrapped below. At high applied voltages, a growing fraction
of microscopic air-pockets collapse, resulting in a partialWenzel state.
Modulations in the intensity of the light reflected from individual
micro-menisci clarify that the local contact angles near the filling transition
are close to the usual advancing values for contact lines on smooth surfaces.


title: Asteroid occultations today and tomorrow: toward the GAIA era

abstract:
  Context: Observation of star occultations is a powerful tool to determine
shapes and sizes of asteroids. This is key information necessary for studying
the evolution of the asteroid belt and to calibrate indirect methods of size
determination, such as the models used to analyze thermal infrared
observations. Up to now, the observation of asteroid occultations is an
activity essentially secured by amateur astronomers equipped with small,
portable equipments. However, the accuracy of the available ephemeris prevents
accurate predictions of the occultation events for objects smaller than ~100
km. Aims: We investigate current limits in predictability and observability of
asteroid occultations, and we study their possible evolution in the future,
when high accuracy asteroid orbits and star positions (such as those expected
from the mission Gaia of the European Space Agency) will be available. Methods:
We use a simple model for asteroid ephemeris uncertainties and numerical
algorithms for estimating the limits imposed by the instruments, assuming
realistic CCD performances and asteroid size distribution, to estimate the
expected occultation rate under different conditions. Results: We show that
high accuracy ephemerides which will be available in the future will extend
toward much smaller asteroids the possibility of observing asteroid
occultations, greatly increasing the number of events and objects involved. A
complete set of size measurements down to ~10 km main belt asteroids could be
obtained in a few years, provided that a small network of ground-based 1m
telescopes are devoted to occultation studies.


title:
Formes d'ast\'ero\"ides et formation de satellites : r\^ole de la
  r\'eaccumulation gravitationnelle

abstract:
  Asteroid shapes and satellites: role of gravitational reaccumulation.
Following current evidences, it is widely accepted that many asteroids would be
"gravitational aggregates", i.e. bodies lacking internal cohesion. They could
mainly be originated during the catastrophic disruption of some parent bodies,
through the gravitational reaccumulation of the resulting fragments. The same
events produced the dynamical families that we observe. In this work we address
the problem of the origin of shapes of gravitational aggregates, that could
contain signatures of their origin. We use a N-body code to simulate the
collapse of a cloud of fragments, with a variety of initial velocity
distributions and total angular momentum. The fragments are treated as
inhelastic spheres, that rapidly accumulate to form rotating aggregates. The
resulting shapes and rotational properties are compared with theoretical
predictions. The results show that only a precise category of shapes (flattened
spheroids) are created via this mechanism. This may provide interesting
constraints on the evolution of asteroid shapes, in particular for those with
one or more satellites.


title: Crypto-Hermiticity of nonanticommutative theories

abstract:
  We note that, though nonanticommutative deformations of Minkowski
supersymmetric theories do not respect the reality condition and seem to lead
to non-Hermitian Hamiltonians H, the latter belong to the class of
crypto-Hermitian (or quasi-Hermitian) Hamiltonians having attracted recently a
considerable attention.
  They can be made manifestly Hermitian via the similarity transformation H ->
e^R H e^{-R} with a properly chosen R. The deformed model enjoys the same
supersymmetry algebra as the undeformed one though it is difficult in some
cases to write explicit expressions for a half of supercharges. The deformed
SQM models make perfect sense. It is not clear whether it is also the case for
NAC Minkowski field theories -- the conventionally defined S--matrix is not
unitary there.


title: Improved measurement of the head-tail effect in nuclear recoils

abstract:
  We present new results with a prototype detector that is being developed by
the DMTPC collaboration for the measurement of the direction tag (head-tail) of
dark matter wind. We use neutrons from a Cf-252 source to create low-momentum
nuclear recoils in elastic scattering with the residual gas nuclei. The recoil
track is imaged in low-pressure time-projection chamber with optical readout.
We measure the ionization rate along the recoil trajectory, which allows us to
determine the direction tag of the incoming neutrons.


title:
The generalized second law of thermodynamics in generalized gravity
  theories

abstract:
  We investigate the generalized second law of thermodynamics (GSL) in
generalized theories of gravity. We examine the total entropy evolution with
time including the horizon entropy, the non-equilibrium entropy production, and
the entropy of all matter, field and energy components. We derive a universal
condition to protect the generalized second law and study its validity in
different gravity theories. In Einstein gravity, (even in the phantom-dominated
universe with a Schwarzschild black hole), Lovelock gravity, and braneworld
gravity, we show that the condition to keep the GSL can always be satisfied. In
$f(R)$ gravity and scalar-tensor gravity, the condition to protect the GSL can
also hold because the gravity is always attractive and the effective Newton
constant should be approximate constant satisfying the experimental bounds.


title: Breaking chirality in nonequilibrium systems on the lattice

abstract:
  We study the dynamics of fronts in parametrically forced oscillating
lattices. Using as a prototypical example the discrete Ginzburg-Landau
equation, we show that much information about front bifurcations can be
extracted by projecting onto a cylindrical phase space. Starting from a normal
form that describes the nonequilibrium Ising-Bloch bifurcation in the continuum
and using symmetry arguments, we derive a simple dynamical system that captures
the dynamics of fronts in the lattice. We can expect our approach to be
extended to other pattern-forming problems on lattices.


title: Control Theorems for Abelian Varieties over Function Fields

abstract: We prove control theorems for abelian varieties over function fields.


title:
On the observability of resonant structures in planetesimal disks due to
  planetary migration

abstract:
  We present a thorough study of the impact of a migrating planet on a
planetesimal disk, by exploring a broad range of masses and eccentricities for
the planet. We discuss the sensitivity of the structures generated in debris
disks to the basic planet parameters. We perform many N-body numerical
simulations, using the symplectic integrator SWIFT, taking into account the
gravitational influence of the star and the planet on massless test particles.
A constant migration rate is assumed for the planet. The effect of planetary
migration on the trapping of particles in mean motion resonances is found to be
very sensitive to the initial eccentricity of the planet and of the
planetesimals. A planetary eccentricity as low as 0.05 is enough to smear out
all the resonant structures, except for the most massive planets. The
planetesimals also initially have to be on orbits with a mean eccentricity of
less than than 0.1 in order to keep the resonant clumps visible. This numerical
work extends previous analytical studies and provides a collection of disk
images that may help in interpreting the observations of structures in debris
disks. Overall, it shows that stringent conditions must be fulfilled to obtain
observable resonant structures in debris disks. Theoretical models of the
origin of planetary migration will therefore have to explain how planetary
systems remain in a suitable configuration to reproduce the observed
structures.