title:
Universal spectrum for DNA base CG frequency distribution in Takifugu
  rubripes (Puffer fish) genome

abstract:
  The frequency distribution of DNA bases A, C, G, T exhibit fractal
fluctuations ubiquitous to dynamical systems in nature. The power spectra of
fractal fluctuations exhibit inverse power law form signifying long-range
correlations between local (small-scale) and global (large-scale)
perturbations. The author has developed a general systems theory based on
classical statistical physics for fractal fluctuations which predicts that the
probability distribution of eddy amplitudes and the variance (square of eddy
amplitude)spectrum of fractal fluctuations follow the universal Boltzmann
inverse power law expressed as a function of the golden mean. The model
predicted distribution is very close to statistical normal distribution for
fluctuations within two standard deviations from the mean and exhibits a fat
long tail. In this paper it is shown that DNA base CG frequency distribution in
Takifugu rubripes (Puffer fish) Genome Release 4 exhibit universal inverse
power law form consistent with model prediction. The observed long-range
correlations in the DNA bases implies that the non-coding 'junk' or 'selfish'
DNA which appear to be redundant, may also contribute to the efficient
functioning of the protein coding DNA, a result supported by recent studies.


title:
Uncovering the Internal Structure of the Indian Financial Market:
  Cross-correlation behavior in the NSE

abstract:
  The cross-correlations between price fluctuations of 201 frequently traded
stocks in the National Stock Exchange (NSE) of India are analyzed in this
paper. We use daily closing prices for the period 1996-2006, which coincides
with the period of rapid transformation of the market following liberalization.
The eigenvalue distribution of the cross-correlation matrix, $\mathbf{C}$, of
NSE is found to be similar to that of developed markets, such as the New York
Stock Exchange (NYSE): the majority of eigenvalues fall within the bounds
expected for a random matrix constructed from mutually uncorrelated time
series. Of the few largest eigenvalues that deviate from the bulk, the largest
is identified with market-wide movements. The intermediate eigenvalues that
occur between the largest and the bulk have been associated in NYSE with
specific business sectors with strong intra-group interactions. However, in the
Indian market, these deviating eigenvalues are comparatively very few and lie
much closer to the bulk. We propose that this is because of the relative lack
of distinct sector identity in the market, with the movement of stocks
dominantly influenced by the overall market trend. This is shown by explicit
construction of the interaction network in the market, first by generating the
minimum spanning tree from the unfiltered correlation matrix, and later, using
an improved method of generating the graph after filtering out the market mode
and random effects from the data. Both methods show, compared to developed
markets, the relative absence of clusters of co-moving stocks that belong to
the same business sector. This is consistent with the general belief that
emerging markets tend to be more correlated than developed markets.

categories: q-fin.ST cond-mat.other physics.data-an physics.soc-ph


title: Ferromagnetic quantum critical point in URhGe doped with Ru

abstract:
  We have investigated the thermal, transport and magnetic properties of
URh$_{1-x}$Ru$_x$Ge alloys near the critical concentration $x_{cr} = 0.38$ for
the suppression of ferromagnetic order. The Curie temperature vanishes linearly
with $x$ and the ordered moment $m_0$ is suppressed in a continuous way. At
$x_{cr}$ the specific heat varies as $c \sim TlnT$, the $\gamma$-value
$c/T|_{0.5K}$ is maximum and the temperature exponent of the resistivity $\rho
\sim T^n$ attains a minimum value $n=1.2$. These observations provide evidence
for a ferromagnetic quantum phase transition. Interestingly, the coefficient of
thermal expansion and the Gr\"uneisen parameter $\Gamma$ remain finite at
$x_{cr}$ (down to $T = 1$ K), which is at odds with recent scaling results for
a metallic quantum critical point.


title:
Quasienergy anholonomy and its application to adiabatic quantum state
  manipulation

abstract:
  The parametric dependence of a quantum map under the influence of a rank-1
perturbation is investigated. While the Floquet operator of the map and its
spectrum have a common period with respect to the perturbation strength
$\lambda$, we show an example in which none of the quasienergies nor the
eigenvectors obey the same period: After a periodic increment of $\lambda$, the
quasienergy arrives at the nearest higher one, instead of the initial one,
exhibiting an anholonomy, which governs another anholonomy of the eigenvectors.
An application to quantum state manipulations is outlined.


title: Effect of non-linear interface kinetics on coarsening phenomena

abstract:
  Coarsening kinetics is usually described using a linear gradient
approximation for the underlying interface migration (IM) rates, wherein the
migration fluxes at the interfaces vary linearly with the driving force. Recent
experimental studies have shown that coarsening of nanocrystalline interface
microstructures is unexpectedly stable compared to conventional parabolic
coarsening kinetics. Here, we show that during early stage coarsening of these
microstructures, IM rates can develop a non-linear dependence on the driving
force, the mean interface curvature. We derive the modified mean field law for
coarsening kinetics. Molecular dynamics simulations of individual grain
boundaries reveal a sub-linear curvature dependence of IM rates, suggesting an
intrinsic origin for the slow coarsening kinetics observed in polycrystalline
metals.


title: Conformal Structures in Noncommutative Geometry

abstract:
  It is well-known that a compact Riemannian spin manifold can be reconstructed
from its canonical spectral triple which consists of the algebra of smooth
functions, the Hilbert space of square integrable spinors and the Dirac
operator. It seems to be a folklore fact that the metric can be reconstructed
up to conformal equivalence if one replaces the Dirac operator D by sign(D). We
give a precise formulation and proof of this fact.


title:
Near-IR Spectra of Red Supergiants and Giants. I- Models with Solar and
  with Mixing-Induced Surface Abundance Ratios

abstract:
  We provide a grid of PHOENIX spectra of red giant and supergiant stars, that
extend through optical and near-IR wavelengths. For the first time, models are
also provided with modified surface abundances of C, N and O, as a step towards
accounting for the changes known to occur due to convective dredge-up (and to
be enhanced in the case of rotation). The aims are (i) to assess how well
current models reproduce observed spectra, (ii) to quantify the effects of the
abundance changes on the spectra, and (iii) to determine how these changes
affect estimates of fundamental stellar parameters.
  Observed giant star spectra can be fitted very well at solar metallicity down
to about 3400K. Modified surface abundances are preferred in only a minority of
cases for luminosity class II, possibly indicating mixing in excess of standard
first dredge-up.
  Supergiant stars show a larger variety of near-IR spectra, and good fits are
currently obtained for about one third of the observations only. Modified
surface abundances help reproducing strong CN bands, but do not suffice to
resolve all the difficulties. The effect of the abundance changes on the
estimated Teff depends on the wavelength range of observation and can amount
several 100K. Reasons for the remaining discrepancies are discussed.


title:
Justification of the coupled-mode approximation for a nonlinear elliptic
  problem with a periodic potential

abstract:
  Coupled-mode systems are used in physical literature to simplify the
nonlinear Maxwell and Gross-Pitaevskii equations with a small periodic
potential and to approximate localized solutions called gap solitons by
analytical expressions involving hyperbolic functions. We justify the use of
the one-dimensional stationary coupled-mode system for a relevant elliptic
problem by employing the method of Lyapunov--Schmidt reductions in Fourier
space. In particular, existence of periodic/anti-periodic and decaying
solutions is proved and the error terms are controlled in suitable norms. The
use of multi-dimensional stationary coupled-mode systems is justified for
analysis of bifurcations of periodic/anti-periodic solutions in a small
multi-dimensional periodic potential.


title: Nonadditive quantum error-correcting code

abstract:
  We report the first nonadditive quantum error-correcting code, namely, a
$((9,12,3))$ code which is a 12-dimensional subspace within a 9-qubit Hilbert
space, that outperforms the optimal stabilizer code of the same length by
encoding more levels while correcting arbitrary single-qubit errors.


title: Moving gap solitons in periodic potentials

abstract:
  We address existence of moving gap solitons (traveling localized solutions)
in the Gross-Pitaevskii equation with a small periodic potential. Moving gap
solitons are approximated by the explicit localized solutions of the
coupled-mode system. We show however that exponentially decaying traveling
solutions of the Gross-Pitaevskii equation do not generally exist in the
presence of a periodic potential due to bounded oscillatory tails ahead and
behind the moving solitary waves. The oscillatory tails are not accounted in
the coupled-mode formalism and are estimated by using techniques of spatial
dynamics and local center-stable manifold reductions. Existence of bounded
traveling solutions of the Gross--Pitaevskii equation with a single bump
surrounded by oscillatory tails on a finite large interval of the spatial scale
is proven by using these technique. We also show generality of oscillatory
tails in other nonlinear equations with a periodic potential.


title: The BFKL Pomeron Calculus in the dipole approach

abstract:
  In this paper we continue to pursue a goal of finding an effective theory for
high energy interaction in QCD based on the colour dipole approach, for which
the BFKL Pomeron Calculus gives a low energy limit. The key problem, that we
try to solve in this paper is the probabilistic interpretation of the BFKL
Pomeron Calculus in terms of the colourless dipoles and their interactions. We
demonstrate that the BFKL Pomeron Calculus has two equivalent descriptions :
(i) one is the generating functional which gives a clear probabilistic
interpretation of the processes of high energy scattering and also provides a
Hamiltonian-like description of the system of interacting dipoles; (ii) the
second is the Langevin equation with a specific noise term which is rather
complicated. We found that at high energies this Langevin equation can be
reduced to the Langevin equation for directed percolation in the momentum space
if the impact parameter is large, namely, $b>> 1/k$, where $k$ is the
transverse momentum of a dipole. Unfortunately, this simplified form of
Langevin equation is not applicable for summation of Pomeron loops, where one
integrates over all possible values of impact parameter. We show that the BFKL
Pomeron calculus with two vertices (splitting $P\to P+P$ and merging $P+P\to P$
of Pomerons) can be interpreted as a system of colourless dipoles with two
processes: the decay of one dipole into two and the merging of two dipoles into
one dipole. However, a number of assumptions we have to make on the way to
simplify the noise term in the Langevin equation and/or to apply the
probabilistic interpretation, therefore, we can consider both of these
approaches in the present form only as the QCD motivated models.


title: Calculation of critical exponents by self-similar factor approximants

abstract:
  The method of self-similar factor approximants is applied to calculating the
critical exponents of the O(N)-symmetric phi^4 theory and of the Ising glass.
It is demonstrated that this method, being much simpler than other known
techniques of series summation in calculating the critical exponents, at the
same time, yields the results that are in very good agreement with those of
other rather complicated numerical methods. The principal advantage of the
method of self-similar factor approximants is the combination of its
extraordinary simplicity and high accuracy.


title: Strange stars and the cosmological constant problem

abstract:
  The cosmological constant problem represents an evident tension between our
present description of gravity and particle physics. Many solutions have been
proposed, but experimental tests are always difficult or impossible to perform
and present phenomenological investigations focus only on possible relations
with the dark energy, that is with the accelerating expansion rate of the
contemporary universe. Here I suggest that strange stars, if they exist, could
represent an interesting laboratory to investigate this puzzle, since their
equilibrium configuration is partially determined by the QCD vacuum energy
density.


title: Geometric Invariant Theory and Generalized Eigenvalue Problem

abstract:
  Let $H$ be a connected reductive subgroup of a complex connected reductive
group $G$. Fix maximal tori and Borel subgroups of $H$ and $G$. Consider the
pairs $(V,V')$ of irreducible representations of $H$ and $G$ such that $V$ is a
submodule of $V'$. We are interested in the cone $LR(G,H)$ generated by the
pairs of dominant weights of such a pair of representations. Our main result
gives a minimal set of inequalities describing $LR(G,H)$ as a part of the
dominant chamber. In way, we obtain results about the faces of the
Dolgachev-Hu's $G$-ample cone and variations of this cone.


title: Graphene bilayer with a twist: electronic structure

abstract:
  Electronic properties of bilayer and multilayer graphene have generally been
interpreted in terms of AB or Bernal stacking. However, it is known that many
types of stacking defects can occur in natural and synthetic graphite; rotation
of the top layer is often seen in scanning tunneling microscopy (STM) studies
of graphite. In this paper we consider a graphene bilayer with a relative small
angle rotation between the layers and calculate the electronic structure near
zero energy in a continuum approximation. Contrary to what happens in a AB
stacked bilayer and in accord with observations in epitaxial graphene we find:
(a) the low energy dispersion is linear, as in a single layer, but the Fermi
velocity can be significantly smaller than the single layer value; (b) an
external electric field, perpendicular to the layers, does not open an
electronic gap


title: Velocity selection problem in the presence of the triple junction

abstract:
  Melting of a bicrystal along the grain boundary is discussed. A triple
junction plays a crucial role in the velocity selection problem in this case.
In some range of the parameters an entirely analytical solution of this problem
is given. This allows to present a transparent picture of the structure of the
selection theory. We also discuss the selection problem in the case of the
growth of a ``eutectoid dendrite'' where a triple junction is present because
three phases are involved in the eutectoid reaction.


title: Vortices in Quantum R\"ontgen Effect

abstract:
  By the application of $\phi$-mapping topological theory, the properties of
vortices in quantum R\"ontgen effect is thoroughly studied. The explicit
expression of the vorticity is obtained, wherein which the $\delta$ function
indicates that the vortices can only stem from the zero points of $\phi$ and
the magnetic flux of the consequent monopoles is quantized in terms of the Hopf
indices and Brouwer degrees. The evolution of vortex lines is discussed. The
reduced dynamic equation and a conserved dynamic quantity on stable vortex
lines are obtained.


title: Radio Lobes of Pictor A: an X-ray spatially resolved Study

abstract:
  A new XMM observation has made possible a detailed study of both lobes of the
radio galaxy Pictor A. Their X-ray emission is of non thermal origin and due to
Inverse Compton scattering of the microwave background photons by relativistic
electrons in the lobes, as previously found. In both lobes, the equipartition
magnetic field (Beq) is bigger than the Inverse Compton value (Bic), calculated
from the radio and X-ray flux ratio. The Beq/Bic ratio never gets below 2, in
spite of the large number of reasonable assumptions tested to calculate Beq,
suggesting a lobe energetic dominated by particles. The X-ray data quality is
good enough to allow a spatially resolved analysis. Our study shows that Bic
varies through the lobes. It appears to increase behind the hot spots. On the
contrary, a rather uniform distribution of the particles is observed. As a
consequence, the radio flux density variation along the lobes appears to be
mainly driven by magnetic field changes.


title:
A quantitative study on the growth variability of tumour cell clones in
  vitro

abstract:
  Objectives: In this study, we quantify the growth variability of tumour cell
clones from a human leukemia cell line. Materials and methods: We have used
microplate spectrophotometry to measure the growth kinetics of hundreds of
individual cell clones from the Molt3 cell line. The growth rate of each clonal
population has been estimated by fitting experimental data with the logistic
equation. Results: The growth rates were observed to vary among different
clones. Up to six clones with a growth rate above or below the mean growth rate
of the parent population were further cloned and the growth rates of their
offsprings were measured. The distribution of the growth rates of the subclones
did not significantly differ from that of the parent population thus suggesting
that growth variability has an epigenetic origin. To explain the observed
distributions of clonal growth rates we have developed a probabilistic model
assuming that the fluctuations in the number of mitochondria through successive
cell cycles are the leading cause of growth variability. For fitting purposes,
we have estimated experimentally by flow cytometry the maximum average number
of mitochondria in Molt3 cells. The model fits nicely the observed
distributions of growth rates, however, cells in which the mitochondria were
rendered non functional (rho-0 cells) showed only a 30% reduction in the clonal
growth variability with respect to normal cells. Conclusions: A tumor cell
population is a dynamic ensemble of clones with highly variable growth rate. At
least part of this variability is due to fluctuations in the number of
mitochondria.


title: Adiabatic Pair Creation

abstract:
  We give here the proof that pair creation in a time dependent potentials is
possible. It happens with probability one if the potential changes
adiabatically in time and becomes overcritical, that is when an eigenvalue
enters the upper spectral continuum. The potential may be assumed to be zero at
large negative and positive times. The rigorous treatment of this effect has
been lacking since the pioneering work of Beck, Steinwedel and Suessmann in
1963 and Gershtein and Zeldovich in 1970.


title: XMMU J174716.1-281048: a "quasi-persistent" very faint X-ray transient?

abstract:
  The X-ray transient XMMU J174716.1-281048 was serendipitously discovered with
XMM-Newton in 2003. It lies about 0.9 degrees off the Galactic Centre and its
spectrum shows a high absorption (~8 x 10E22 cm^(-2)). Previous X-ray
observations of the source field performed in 2000 and 2001 did not detect the
source, indicative of a quiescent emission at least two orders of magnitude
fainter. The low luminosity during the outburst (~5 x 10E34 erg/s at 8 kpc)
indicates that the source is a member of the ``very faint X-ray transients''
class. On 2005 March 22nd the INTEGRAL satellite caught a possible type-I X-ray
burst from the new INTEGRAL source IGR J17464-2811, classified as fast X-ray
transient. This source was soon found to be positionally coincident, within the
uncertainties, with XMMU J174716.1-281048. Here we report data analysis of the
X-ray burst observed with the IBIS and JEM-X telescopes and confirm the type-I
burst nature. We also re-analysed XMM-Newton and Chandra archival observations
of the source field. We discuss the implications of these new findings,
particularly related to the source distance as well as the source
classification.


title:
Relativistic interaction of a high intensity photon beam with a plasma:
  a possible GRB emission mechanism

abstract:
  A long duration photon beam can induce macroscopic coherent effects on a
plasma by single photon electron scattering if the probability of the
interaction approaches 1 in a volume of unit surface and length equal to the
plasma typical wavelength, and the induced electron oscillations become
relativistic in few plasma cycles. A fraction of the plasma electrons is
accelerated through the Wakefield mechanism by the cavities created by the
photon-electron interactions and radiates through boosted betraton emission in
the same cavities. The resulting emission in this framework is very similar to
the typical GRB radiation. Several comparisons with GRB light curves and
spectral-energy correlations will be presented.


title:
The colour selection of distant galaxies in the UKIDSS Ultra-Deep Survey
  Early Data Release

abstract:
  We investigate colour selection techniques for high redshift galaxies in the
UKIDSS Ultra Deep Survey Early Data Release (UDS EDR). Combined with very deep
Subaru optical photometry, the depth (K_AB = 22.5) and area (0.62 deg^2) of the
UDS EDR allows us to investigate optical/near-IR selection using a large sample
of over 30,000 objects. By using the B-z, z-K colour-colour diagram (the BzK
technique) we identify over 7500 candidate galaxies at z > 1.4, which can be
further separated into passive and starforming systems (pBzK and sBzK
respectively). Our unique sample allows us to identify a new feature not
previously seen in BzK diagrams, consistent with the passively evolving track
of early type galaxies at z < 1.4. We also compare the BzK technique with the
R-K colour selection of Extremely Red Objects (EROs) and the J-K selection of
Distant Red Galaxies (DRGs), and quantify the overlap between these
populations. We find that the majority of DRGs, at these relatively bright
magnitudes are also EROs. Since previous studies have found that DRGs at these
magnitudes have redshifts of z ~ 1 we determine that these DRG/ERO galaxies
have SEDs consistent with being dusty star-forming galaxies or AGN at z < 2.
Finally we observe a flattening in the number counts of pBzK galaxies, similar
to other studies, which may indicate that we are sampling the luminosity
function of passive z > 1 galaxies over a narrow redshift range.


title: L-theory of groups with unstable derived series

abstract:
  In this short note we prove that the Farrell-Jones Fibered Isomorphism
Conjecture in L-theory, after inverting 2, is true for a group whose some
derived subgroup is free.


title: Semi-classical buckling of stiff polymers

abstract:
  A quantitative theory of the buckling of a worm like chain based on a
semi-classical approximation of the partition function is presented. The
contribution of thermal fluctuations to the force-extension relation that
allows to go beyond the classical Euler buckling is derived in the linear and
non-linear regime as well. It is shown that the thermal fluctuations in the
nonlinear buckling regime increase the end-to-end distance of the semiflexible
rod if it is confined to 2 dimensions as opposed to the 3 dimensional case. Our
approach allows a complete physical understanding of buckling in D=2 and in D=3
below and above the Euler transition.


title: Why only few are so successful ?

abstract:
  In many professons employees are rewarded according to their relative
performance. Corresponding economy can be modeled by taking $N$ independent
agents who gain from the market with a rate which depends on their current
gain. We argue that this simple realistic rate generates a scale free
distribution even though intrinsic ability of agents are marginally different
from each other. As an evidence we provide distribution of scores for two
different systems (a) the global stock game where players invest in real stock
market and (b) the international cricket.


title:
The Millennium Galaxy Catalogue: the B-band attenuation of bulge and
  disc light and the implied cosmic dust and stellar mass densities

abstract:
  Based on our sample of 10095 galaxies with bulge-disc decompositions we
derive the empirical B-band internal attenuation--inclination relation for
galaxy discs and their associated central bulges. Our results agree well with
the independently derived dust models of Tuffs et al., leading to a direct
constraint on the mean opacity of spiral discs of Tau_B^f = 3.8 +/- 0.7
(central face-on B-band opacity). Depending on inclination, the B-band
attenuation correction varies from 0.2 -- 1.1 mag for discs and from 0.8 -- 2.6
mag for bulges. We find that, overall, 37 per cent of all B-band photons
produced in discs in the nearby universe are absorbed by dust, a figure that
rises to 71 per cent for bulge photons. The severity of internal dust
extinction is such that one must incorporate internal dust corrections in all
optical studies of large galaxy samples. This is particularly pertinent for
optical HST comparative evolutionary studies as the dust properties will also
be evolving. We use the new results to revise our recent estimates of the
spheroid and disc luminosity functions. From our best fitting dust models we
derive a redshift zero cosmic dust density of rho_{dust} ~ (5.3 +/- 1.7) x
10^5, h M_{odot} Mpc^-3. This implies that (0.0083 +/- 0.0027), h per cent of
the baryons in the Universe are in the form of dust and (11.9 +/- 1.7), h per
cent (Salpeter-`lite' IMF) are in the form of stars (~58 per cent reside in
galaxy discs, ~10 per cent in red elliptical galaxies, ~29 per cent in
classical galaxy bulges and the remainder in low luminosity blue spheroid
systems/components). [Abridged]


title:
Differentially rotating force-free magnetosphere of an aligned rotator:
  analytical solutions in split-monopole approximation

abstract:
  In this paper we consider stationary force-free magnetosphere of an aligned
rotator when plasma in the open field line region rotates differentially due to
presence of a zone with the accelerating electric field in the polar cap of
pulsar. We study the impact of differential rotation on the current density
distribution in the magnetosphere. Using split-monopole approximation we obtain
analytical expressions for physical parameters of differentially rotating
magnetosphere. We find the range of admitted current density distributions
under the requirement that the potential drop in the polar cap is less than the
vacuum potential drop. We show that the current density distribution could
deviate significantly from the ``classical'' Michel distribution and could be
made almost constant over the polar cap even when the potential drop in the
accelerating zone is of the order of 10 per cents of the vacuum potential drop.
We argue that differential rotation of the open magnetic field lines could play
an important role in adjusting between the magnetosphere and the polar cap
cascade zone and could affect the value of pulsar breaking index.


title: Critical Behavior of Sandpile Models with Sticky Grains

abstract:
  We revisit the question whether the critical behavior of sandpile models with
sticky grains is in the directed percolation universality class. Our earlier
theoretical arguments in favor, supported by evidence from numerical
simulations [ Phys. Rev. Lett., {\bf 89} (2002) 104303], have been disputed by
Bonachela et al. [Phys. Rev. E {\bf 74} (2004) 050102] for sandpiles with no
preferred direction. We discuss possible reasons for the discrepancy. Our new
results of longer simulations of the one-dimensional undirected model fully
support our earlier conclusions.


title: Absorption features of high redshift galactic winds

abstract:
  The environment of high-redshift galaxies is characterized by both
wind-driven outflowing gas and gravitationally infalling streams. To
investigate such galaxy-IGM interplay we have generated synthetic optical
absorption line spectra piercing the volume surrounding a starbursting analog
of a Lyman Break Galaxy selected in a $z \approx 3$ output from a SPH
simulation, including a detailed treatment of mechanical feedback from winds.
Distributions for several observable species (HI, CIII, CIV, SiII, SiIII, SiIV,
OVI, OVII, and OVIII) have been derived by post-processing the simulation
outputs. The hot wind material is characterized by the presence of
high-ionization species such as OVI, OVII, and OVIII (the latter two observable
only in X-ray bands); the colder ($T<10^{5.5}$ K) infalling streams can be
instead identified by the combined presence of SiII, SiIII, and CIII optical
absorption together with OVI that surrounds the cooler gas clumps. However,
both line profile and Pixel Optical Depth analysis of the synthetic spectra
show that the intergalactic filament in which the wind-blowing galaxy is
embedded produces absorption signatures that closely mimic those of the wind
environment. We conclude that may be difficult to clearly identify wind-blowing
galaxies and their complex gaseous environment at high redshift in optical QSO
absorption-line spectra based solely on the observed ion absorption patterns.


title:
An algebraic proof of Gabrielov's theorem about analytic homomorphisms
  in any characteristic

abstract: The proof of proposition 3.6 is not correct


title: Planets around active stars

abstract:
  We present the results of radial velocity measurements of two samples of
active stars. The first sample contains field G and K giants across the Red
Giant Branch, whereas the second sample consists of nearby young stars (d < 150
pc) with ages between 10 - 300 Myrs. The radial velocity monitoring program has
been carried out with FEROS at 1.52 m ESO telescope (1999 - 2002) and continued
since 2003 at 2.2 m MPG/ESO telescope. We observed stellar radial velocity
variations which originate either from the stellar activity or the presence of
stellar/substellar companions. By means of a bisector technique we are able to
distinguish the sources of the radial velocity variation. Among them we found
few candidates of planetary companions, both of young stars and G-K giants
sample.


title: Homogeneous edge-disjoint $K_{2s}$ and $T_{st,t}$ unions

abstract:
  Let $r>2$ and $\sigma\in(0,r-1)$ be integers. We require $t<2s$, where
$t=2^{\sigma+1}-1$ and $s=2^{r-\sigma-1}$. Generalizing a known
$\{K_4,T_{6,3}\}$-ultrahomogenous graph $G_3^1$, we find that a finite,
connected, undirected, arc-transitive graph $G_r^\sigma$ exists each of whose
edges is shared by just two maximal subgraphs, namely a clique $X_0=K_{2s}$ and
a $t$-partite regular-Tur\'an graph $X_1=T_{st,t}$ on $s$ vertices per part.
Each copy $Y$ of $X_i$ ($i=0,1$) in $G_r^\sigma$ shares each edge with just one
copy of $X_{1-i}$ and all such copies of $X_{1-i}$ are pairwise distinct.
Moreover, $G_r^\sigma$ is an edge-disjoint union of copies of $X_i$, for
$i=0,1$. We prove that $G_r^\sigma$ is $\{K_{2s},T_{st,t}\}$-homogeneous if
$t<2s$, and just $\{T_{st,t}\}$-homogeneous otherwise, meaning that there is an
automorphism of $G_r^\sigma$ between any two such copies of $X_i$ relating two
preselected arcs.


title:
A simultaneous center-of-mass correction of nucleon density and momentum
  distributions in nuclei

abstract:
  The approach exposed in the recent paper (A. Shebeko, P. Papakonstantinou, E.
Mavrommatis, Eur. Phys. J. A 27, 143 (2006)) has been applied in studying
center-of-mass motion effects on the nucleon density and momentum distributions
in nuclei. We are focused upon effects due to the center-of-mass and
short-range nucleon correlations embedded in translationally invariant
ground-state wavefunctions. The latter are constructed in the so-called fixed
center-of-mass approximation, starting with a Slater determinant wave function
modified by some correlator (e.g., after Jastrow or Villars). It is shown how
one can simplify evaluation of the corresponding expectation values that
determine the distributions. The analytic expressions derived here involve the
own "Tassie-Barker" factors for each distribution. As an illustration,
numerical calculations have been carried out for the nucleus ^{4}He with the
Slater determinant to describe the nucleon (1s)^4 configuration composed of
single-particle orbitals which differ from harmonic oscillator ones at small
distances. Such orbitals simulate somewhat short-range repulsion between
nucleons. Special attention is paid to a simultaneous shrinking of the
center--of--mass corrected density and momentum distributions compared to the
purely (1s)^4 shell nontranslationally invariant ones.


title: Continuous Capillary Condensation

abstract:
  We show that condensation in a capped capillary slit is a continuous
interfacial critical phenomenon, related intimately to several other surface
phase transitions. In three dimensions (3d), the adsorption and desorption
branches correspond to the unbinding of the meniscus from the cap and opening,
respectively and are equivalent to 2d-like complete-wetting transitions. For
dispersion forces, the singularities on the two branches are distinct, owing to
the different interplay of geometry and intermolecular forces. In 2d we
establish precise connection, or covariance, with 2d critical-wetting and
wedge-filling transitions, i.e. we establish that certain interfacial
properties in very different geometries are identical. Our predictions of
universal scaling and covariance in finite capillaries are supported by
extensive Ising model simulation studies in 2d and 3d.


title: On action of the Virasoro algebra on the space of univalent functions

abstract:
  We obtain explicit expressions for differential operators defining the action
of the Virasoro algebra on the space of univalent functions. We also obtain an
explicit Taylor decomposition for Schwarzian derivative and a formula for the
Grunsky coefficients.


abstract:
  Comment on "Liquids on Topologically Nanopatterned Surfaces" by O. Gang et
al, Phys. Rev. Lett. 95, 217801 (2005).
  See also an erratum published by O. Gang et al (Phys Rev Lett, to appear)


title:
Spectroscopy of atomic rubidium at 500 bar buffer gas pressure:
  approaching the thermal equilibrium of dressed atom-light states

abstract:
  We have recorded fluorescence spectra of the atomic rubidium D-lines in the
presence of several hundreds of bars buffer gas pressure. With additional
saturation broadening a spectral linewidth comparable to the thermal energy of
the atoms in the heated gas cell is achieved. An intensity-dependent blue
asymmetry of the spectra is observed, which becomes increasingly pronounced
when extrapolating to infinitely high light intensity. We interpret our results
as evidence for the dressed (coupled atom-light) states to approach thermal
equilibrium.


title: (2+1)-Einstein spacetimes of finite type

abstract:
  The aim of this survey is to give an overview on the geometry of Einstein
maximal globally hyperbolic 2+1 spacetimes of arbitrary curvature, conatining a
complete Cauchy surface of finite type. In particular a specialization to the
finite type case of the canonicla Wick rotation-rescaling theory, previously
developed by the authors, is provided. This includes, for arbitrary curvatures,
parameterizations in terms of suitable measured geodesic laminations on open
hyperbolic surfaces of finite type. The same geometric objects also
parameterize complex projective structures on the surfaces. The coincidence of
such parameter space is explained by means of geometric correlations between
spacetimes of different curvatures and projective surfaces realized via
canonical WR-rescaling along the cosmological times. We also specialize on AdS
case mostly referring to recent results achieved by other authors. In
particular we describe maximal causal extensions of AdS globally hyperbolic
spacetimes and an AdS approach to the theory of earthquakes for hyperbolic
surfaces of finite type. A general earthquake theorem is proved for the so
called enhanced Teichmuller space. The case of spacetimes with conical timelike
singularities is also treated.


title: Free pre-Lie algebras are free as Lie algebras

abstract:
  We prove that free pre-Lie algebras, when considered as Lie algebras, are
free. Working in the category of S-modules, we define a natural filtration on
the space of generators. We also relate the symmetric group action on
generators with the structure of the anticyclic PreLie operad.


title:
Photonic molecules made of matched and mismatched microcavities: new
  functionalities of microlasers and optoelectronic components

abstract:
  Photonic molecules, named by analogy with chemical molecules, are clusters of
closely located electromagnetically interacting microcavities or "photonic
atoms". As two or several microcavities are brought close together, their
optical modes interact, and a rich spectrum of photonic molecule supermodes
emerges, which depends both on geometrical and material properties of
individual cavities and on their mutual interactions. Here, we discuss ways of
controllable manipulation of photonic molecule supermodes, which improve or add
new functionalities to microcavity-based optical components. We present several
optimally-tuned photonic molecule designs for lowering thresholds of
semiconductor microlasers, producing directional light emission, enhancing
sensitivity of microcavity-based bio(chemical)sensors, and optimizing
electromagnetic energy transfer around bends of coupled-cavity waveguides.
Photonic molecules composed of identical microcavities as well as of
microcavities with various degrees of size or material detuning are discussed.
Microwave experiments on scaled photonic molecule structures are currently
under way to confirm our theoretical predictions.


title: Atom-molecule Rabi oscillations in a Mott insulator

abstract:
  We observe large-amplitude Rabi oscillations between an atomic and a
molecular state near a Feshbach resonance. The experiment uses 87Rb in an
optical lattice and a Feshbach resonance near 414 G. The frequency and
amplitude of the oscillations depend on magnetic field in a way that is well
described by a two-level model. The observed density dependence of the
oscillation frequency agrees with the theoretical expectation. We confirmed
that the state produced after a half-cycle contains exactly one molecule at
each lattice site. In addition, we show that for energies in a gap of the
lattice band structure, the molecules cannot dissociate.


title:
First study of the gluon-quark-antiquark static potential in SU(3)
  Lattice QCD

abstract:
  We study the long distance interaction for hybrid hadrons, with a static
gluon, a quark and an antiquark with lattice QCD techniques. A Wilson loop
adequate to the static hybrid three-body system is developed and, using a 24^3
x 48 periodic lattice with beta=6.2 and a ~ 0.075 fm, two different geometries
for the gluon-quark segment and the gluon-antiquark segment are investigated.
When these segments are perpendicular, the static potential is compatible with
confinement realized with a pair of fundamental strings, one linking the gluon
to the quark and another linking the same gluon to the antiquark. When the
segments are parallel and superposed, the total string tension is larger and
agrees with the Casimir Scaling measured by Bali. This can be interpreted with
a type-II superconductor analogy for the confinement in QCD, with repulsion of
the fundamental strings and with the string tension of the first topological
excitation of the string (the adjoint string) larger than the double of the
fundamental string tension.


title:
Maximum Entropy for Gravitational Wave Data Analysis: Inferring the
  Physical Parameters of Core-Collapse Supernovae

abstract:
  The gravitational wave signal arising from the collapsing iron core of a Type
II supernova progenitor star carries with it the imprint of the progenitor's
mass, rotation rate, degree of differential rotation, and the bounce depth.
Here, we show how to infer the gravitational radiation waveform of a core
collapse event from noisy observations in a network of two or more LIGO-like
gravitational wave detectors and, from the recovered signal, constrain these
source properties. Using these techniques, predictions from recent core
collapse modeling efforts, and the LIGO performance during its S4 science run,
we also show that gravitational wave observations by LIGO might have been
sufficient to provide reasonable estimates of the progenitor mass, angular
momentum and differential angular momentum, and depth of the core at bounce,
for a rotating core collapse event at a distance of a few kpc.


title: Photon-jet correlations in $pp$ and $p \bar p$ collisions

abstract:
  We compare results of the $k_t$-factorization approach and the
next-to-leading order collinear-factorization approach for photon-jet
correlations in $pp$ and $p \bar p$ collisions at RHIC and Tevatron energies.
We discuss correlations in the azimuthal angle as well as in the
two-dimensional space of transverse momentum of photon and jet. Different
unintegrated parton distributions (UPDF) are included in the
$k_t$-factorization approach. The results depend on UPDFs used. The standard
collinear approach gives cross section comparable to the $k_t$-factorization
approach. For correlations of the photon and any jet the NLO contributions
dominate at relatively small azimuthal angles as well as for asymmetric
transverse momenta. For correlations of the photon with the leading jet (the
one having the biggest transverse momentum) the NLO approach gives zero
contribution at $\phi_{-} < \pi/2$ which opens a possibility to study
higher-order terms and/or UPDFs in this region.


title:
Accretion Disk Illumination in Schwarzschild and Kerr Geometries:
  Fitting Formulae

abstract:
  We describe the methodology and compute the illumination of geometrically
thin accretion disks around black holes of arbitrary spin parameter $a$ exposed
to the radiation of a point-like, isotropic source at arbitrary height above
the disk on its symmetry axis. We then provide analytic fitting formulae for
the illumination as a function of the source height $h$ and the black hole
angular momentum $a$. We find that for a source on the disk symmetry axis and
$h/M > 3$, the main effect of the parameter $a$ is allowing the disk to extend
to smaller radii (approaching $r/M \to 1$ as $a/M \to 1$) and thus allow the
illumination of regions of much higher rotational velocity and redshift. We
also compute the illumination profiles for anisotropic emission associated with
the motion of the source relative to the accretion disk and present the
fractions of photons absorbed by the black hole, intercepted by the disk or
escaping to infinity for both isotropic and anisotropic emission for $a/M=0$
and $a/M=0.99$. As the anisotropy (of a source approaching the disk) increases
the illumination profile reduces (approximately) to a single power-law, whose
index, $q$, because of absorption of the beamed photons by the black hole,
saturates to a value no higher than $q \gtrsim 3$. Finally, we compute the
fluorescence Fe line profiles associated with the specific illumination and
compare them among various cases.


title: Characterization of Instrumental Phase Stability

abstract:
  Atmospheric water vapor causes significant undesired phase fluctuations for
the Submillimeter Array (SMA) interferometer, particularly in its highest
frequency observing band of 690 GHz. One proposed solution to this atmospheric
effect is to observe simultaneously at two separate frequency bands of 230 and
690 GHz. Although the phase fluctuations have a smaller magnitude at the lower
frequency, they can be measured more accurately and on shorter timescales due
to the greater sensitivity of the array to celestial point source calibrators
at this frequency. In theory, we can measure the atmospheric phase fluctuations
in the 230 GHz band, scale them appropriately with frequency, and apply them to
the data in 690 band during the post-observation calibration process. The
ultimate limit to this atmospheric phase calibration scheme will be set by the
instrumental phase stability of the IF and LO systems. We describe the
methodology and initial results of the phase stability characterization of the
IF and LO systems.


title: Localization of injective modules over arithmetical rings

abstract:
  It is proved that localizations of injective $R$-modules of finite Goldie
dimension are injective if $R$ is an arithmetical ring satisfying the following
condition: for every maximal ideal $P$, $R_P$ is either coherent or not
semicoherent. If, in addition, each finitely generated $R$-module has finite
Goldie dimension, then localizations of finitely injective $R$-modules are
finitely injective too. Moreover, if $R$ is a Pr\"ufer domain of finite
character, localizations of injective $R$-modules are injective.


title: Modified Coulomb Law in a Strongly Magnetized Vacuum

abstract:
  We study electric potential of a charge placed in a strong magnetic field
B>>4.4x10^{13}G, as modified by the vacuum polarization. In such field the
electron Larmour radius is much less than its Compton length. At the Larmour
distances a scaling law occurs, with the potential determined by a
magnetic-field-independent function. The scaling regime implies short-range
interaction, expressed by Yukawa law. The electromagnetic interaction regains
its long-range character at distances larger than the Compton length, the
potential decreasing across the magnetic field faster than along. Correction to
the nonrelativistic ground-state energy of a hydrogenlike atom is found. In the
infinite-magnetic-field limit the modified potential becomes the Dirac
delta-function plus a regular background. With this potential the ground-state
energy is finite - the best pronounced effect of the vacuum polarization.


title:
Social networks and labour productivity in Europe: An empirical
  investigation

abstract:
  This paper uses firm-level data recorded in the AMADEUS database to
investigate the distribution of labour productivity in different European
countries. We find that the upper tail of the empirical productivity
distributions follows a decaying power-law, whose exponent $\alpha$ is obtained
by a semi-parametric estimation technique recently developed by Clementi et al.
(2006). The emergence of "fat tails" in productivity distribution has already
been detected in Di Matteo et al. (2005) and explained by means of a model of
social network. Here we show that this model is tested on a broader sample of
countries having different patterns of social network structure. These
different social attitudes, measured using a social capital indicator, reflect
in the power-law exponent estimates, verifying in this way the existence of
linkages among firms' productivity performance and social network.


title: Charmed Meson Production in Deep Inelastic Scattering

abstract:
  Charmed meson production in semi-inclusive deep inelastic scattering is
investigated in the color dipole formalism. The transverse momentum
distributions are calculated. We find good agreement with the H1 data using a
hard fragmentation function.


title: CP violation in unpolarized e^+ e^- to charginos at one loop level

abstract:
  We study CP violation in e^+ e^- to \tilde\chi_i^+\tilde\chi_j^- in the
framework of the MSSM. Though the cross section of this process is CP-even at
the tree level even for polarized electron-positron beams, we show that it
contains a CP-odd part at the one loop order and there are CP-odd observables
that can in principle be measured even using unpolarized electron-positron
beams. The relevant diagram calculations are briefly discussed and the results
of selected (box) diagram computations are shown.


title:
Water vapor and silicon monoxide maser observations in the
  protoplanetary nebula OH 231.8+4

abstract:
  OH 231.8+4.2 is a well studied preplanetary nebula (pPN) around a binary
stellar system that shows a remarkable bipolar outflow. To study the structure
and kinematics of the inner 10-80 AU nebular regions we performed
high-resolution observations of the H$_2$O 6$_{1,6}$--5$_{2,3}$ and $^{28}$SiO
$v$=2, $J$=1--0 maser emissions with the Very Long Baseline Array. The absolute
position of both emission distributions were recovered using the phase
referencing technique, and accurately registered in HST optical images. H$_2$O
maser clumps are found to be distributed in two areas of 20 mas in size
spatially displaced by $\sim$60 milli-arcseconds along an axis oriented nearly
north-south. SiO masers are tentatively found to be placed between the two
H$_2$O maser emitting regions, probably indicating the position of the Mira
component of the system. The SiO maser emission traces an inner equatorial
component with a diameter of 12 AU, probably a disk rotating around the M-type
star. Outwards, we detect in the H$_2$O data a pair of polar caps, separated by
80 AU. We believe that the inner regions of the nebula probably have been
altered by the presence of the companion, leading to an equator-to-pole density
contrast that may explain the lack of H$_2$O masers and strong SiO maser
emission in the denser, equatorial regions.


title:
On the Computational Complexity of MCMC-based Estimators in Large
  Samples

abstract:
  In this paper we examine the implications of the statistical large sample
theory for the computational complexity of Bayesian and quasi-Bayesian
estimation carried out using Metropolis random walks. Our analysis is motivated
by the Laplace-Bernstein-Von Mises central limit theorem, which states that in
large samples the posterior or quasi-posterior approaches a normal density.
Using the conditions required for the central limit theorem to hold, we
establish polynomial bounds on the computational complexity of general
Metropolis random walks methods in large samples. Our analysis covers cases
where the underlying log-likelihood or extremum criterion function is possibly
non-concave, discontinuous, and with increasing parameter dimension. However,
the central limit theorem restricts the deviations from continuity and
log-concavity of the log-likelihood or extremum criterion function in a very
specific manner.
  Under minimal assumptions required for the central limit theorem to hold
under the increasing parameter dimension, we show that the Metropolis algorithm
is theoretically efficient even for the canonical Gaussian walk which is
studied in detail. Specifically, we show that the running time of the algorithm
in large samples is bounded in probability by a polynomial in the parameter
dimension $d$, and, in particular, is of stochastic order $d^2$ in the leading
cases after the burn-in period. We then give applications to exponential
families, curved exponential families, and Z-estimation of increasing
dimension.


title: Energetics of positron states trapped at vacancies in solids

abstract:
  We report a computational first-principles study of positron trapping at
vacancy defects in metals and semiconductors. The main emphasis is on the
energetics of the trapping process including the interplay between the positron
state and the defect's ionic structure and on the ensuing annihilation
characteristics of the trapped state. For vacancies in covalent semiconductors
the ion relaxation is a crucial part of the positron trapping process enabling
the localization of the positron state. However, positron trapping does not
strongly affect the characteristic features of the electronic structure, e.g.,
the ionization levels change only moderately. Also in the case of metal
vacancies the positron-induced ion relaxation has a noticeable effect on the
calculated positron lifetime and momentum distribution of annihilating
electron-positron pairs.


title: An exact sequence for contact- and symplectic homology

abstract:
  A symplectic manifold $W$ with contact type boundary $M = \partial W$ induces
a linearization of the contact homology of $M$ with corresponding linearized
contact homology $HC(M)$. We establish a Gysin-type exact sequence in which the
symplectic homology $SH(W)$ of $W$ maps to $HC(M)$, which in turn maps to
$HC(M)$, by a map of degree -2, which then maps to $SH(W)$. Furthermore, we
give a description of the degree -2 map in terms of rational holomorphic curves
with constrained asymptotic markers, in the symplectization of $M$.


title: CeRuPO: A rare example of a Ferromagnetic Kondo lattice

abstract:
  We have determined the physical ground state properties of the compounds
CeRuPO and CeOsPO by means of magnetic susceptibility chi(T), specific heat
C(T), electrical resistivity rho(T), and thermopower S(T) measurements. chi(T)
reveals a trivalent 4f1 cerium state in both compounds. For CeRuPO a pronounced
decrease of rho(T) below 50K indicates the onset of coherent Kondo scattering
which is confirmed by enhanced S(T). The temperature and magnetic field
dependence of chi(T) and C(T) evidence ferromagnetic (FM) order at TC=15K.
Thus, CeRuPO seems to be one of the rare example of a FM Kondo lattice. In
contrast, CeOsPO shows antiferromagnetic order at TN=4.4K despite only minor
changes in lattice parameters and electronic configuration. Additional 31P NMR
results support these scenarios. LSDA+U calculations evidence a quasi two
dimensional electronic band structure, reflecting a strong covalent bonding
within the CeO and RuP layers and a weak ionic like bonding between the layers.


title:
Fluctuation-induced interactions between dielectrics in general
  geometries

abstract:
  We study thermal Casimir and quantum non-retarded Lifshitz interactions
between dielectrics in general geometries. We map the calculation of the
classical partition function onto a determinant which we discretize and
evaluate with the help of Cholesky factorization. The quantum partition
function is treated by path integral quantization of a set of interacting
dipoles and reduces to a product of determinants. We compare the approximations
of pairwise additivity and proximity force with our numerical methods. We
propose a ``factorization approximation'' which gives rather good numerical
results in the geometries that we study.

categories: cond-mat.stat-mech cond-mat.soft physics.comp-ph quant-ph


title: Electroweak Chiral Lagrangian for Left-right Symmetric Models

abstract:
  The complete list of electroweak chiral Lagrangian up to order of p4 for
left-right symmetric models with a neutral light higgs is provided. The
connection of these operators to left and right gauge boson mixings and masses
is made and their contribution to conventional generalized electroweak chiral
Lagrangian with a neutral light higgs included in is estimated.


title: Speckle reduction in ocular wave-front sensing

abstract:
  An acousto-optic cell was used to reduce the speckle noise that reduces the
quality of Hartmann-Shack and other wave-front sensors measuring ocular
aberrations. In the method presented here, a laser beam traverses an
acousto-optic cell, interacting with standing acoustic waves. Speckle reduction
takes place as the incoming beam is diffractively spread across the cornea. The
increased size and the wider angular spread of the incoming beam average out
the speckles, producing a more uniform response of the wave-front sensor.


title:
Good News for MOS, MXU & Co. - The New Spectroscopic Pipeline for the
  FORSes

abstract:
  Since October 1, 2006, spectroscopic data from the two FORS instruments have
been reduced with a new pipeline, which is based on a bottom-up calibration
approach. I give a short description of the pipeline and discuss first
experiences with automatic data reduction using this software, which has
significantly increased the percentage of processed data for both instruments.
I will also describe possible new options for Quality Control.


title: Statistical properties of dust far-infrared emission

abstract:
  The description of the statistical properties of dust emission gives
important constraints on the physics of the interstellar medium but it is also
a useful way to estimate the contamination of diffuse interstellar emission in
the cases where it is considered a nuisance. The main goals of this analysis of
the power spectrum and non-Gaussian properties of 100 micron dust emission are
1) to estimate the power spectrum of interstellar matter density in three
dimensions, 2) to review and extend previous estimates of the cirrus noise due
to dust emission and 3) to produce simulated dust emission maps that reproduce
the observed statistical properties. The main results are the following. 1) The
cirrus noise level as a function of brightness has been previously
overestimated. It is found to be proportional to <I> instead of <I>^1.5, where
<I> is the local average brightness at 100 micron. This scaling is in
accordance with the fact that the brightness fluctuation level observed at a
given angular scale on the sky is the sum of fluctuations of increasing
amplitude with distance on the line of sight. 2) The spectral index of dust
emission at scales between 5 arcmin and 12.5 degrees is <gamma>=-2.9 on average
but shows significant variations over the sky. Bright regions have
systematically steeper power spectra than diffuse regions. 3) The skewness and
kurtosis of brightness fluctuations is high, indicative of strong
non-Gaussianity. 4) Based on our characterization of the 100 micron power
spectrum we provide a prescription of the cirrus confusion noise as a function
of wavelength and scale. 5) Finally we present a method based on a modification
of Gaussian random fields to produce simulations of dust maps which reproduce
the power spectrum and non-Gaussian properties of interstellar dust emission.


title:
Theoretical treatments of fusion processes in collisions of weakly bound
  nuclei

abstract:
  We review the theoretical methods to evaluate fusion cross sections in
collisions of weakly bound nuclei. We piont out that in such collisions the
coupling to the breakup channel leads to the appearance of different fusion
processes. The extentsion of the coupled-channel method to coupling with the
continuum is the most successful treatment for these collisions. However,
evaluating separate cross section for each fusion process remains a very hard
task.


title:
Unravelling the morphologies of Luminous Compact Galaxies using the
  HST/ACS GOODS survey

abstract:
  (Abridged) Luminous Compact Galaxies (LCGs) (M_B < -20, R_{1/2} < 4.5kpc and
EW_{0}(OII) >15\AA) constitute one of the most rapidly evolving galaxy
populations over the last ~8 Gyr history of the universe. Due to their
inherently compact sizes, any detailed quantitative analysis of their
morphologies has proved to be difficult in the past. In this work we use the
high angular resolution imaging data, from the HST/ACS GOODS survey, to study
the quantitative morphology of a complete sample of LCGs in the redshift range
0.5 < z < 1.2. We have derived structural parameters for a representative
sample of 39 LCGs selected from the GOODS-S field, using full 2-dimensional
surface brightness profile fitting of the galaxy images in each of the four
filters available. B-z color maps are used as an aid in the morphological
classification. We then use the rest frame B band bulge flux fraction (B/T) to
determine the morphological class of the galaxies. Mergers were essentially
identified visually by the presence of multiple maxima of comparable intensity
in the rest frame B band images, aided by the color maps to distinguish them
from HII regions. We derive the following morphological mix for our sample of
intermediate redshift LCGs: Mergers: ~36%, Disk dominated: ~22%, S0: ~20%,
Early types: ~7%, Irr/tadpole: ~15%. We establish that our sample LCGs are
intermediate mass objects with a median stellar mass of Log(M/M_{\odot})=10.32.
We also derive dust enshrouded SFR values ranging from a few to ~65
$M_{\odot}$/year using Spitzer 24$\mu m$ data. We estimate a factor ~11 fall in
the comoving number density of blue LCGs from redshifts 0.5 < z < 1.2 to the
current epoch. We finally discuss the evolutionary scenario of these LCGs which
might give us some clues regarding their descendants in the local universe.


title: High-Energy Calibration of a BGO detector of the GLAST Burst Monitor

abstract:
  The understanding of the instrumental response of the GLAST Burst Monitor BGO
detectors at energies above the energy range which is accessible by common
laboratory radiation sources (< 4.43 MeV), is important, especially for the
later cross-calibration with the LAT response in the overlap region between ~
20 MeV to 30 MeV. In November 2006 the high-energy calibration of the GBM-BGO
spare detector was performed at the small Van-de-Graaff accelerator at SLAC.
High-energy gamma-rays from excited 8Be* (14.6 MeV and 17.5 MeV) and 16O* (6.1
MeV) were generated through (p,gamma)-reactions by irradiating a LiF-target.
For the calibration at lower energies radioactive sources were used. The
results, including spectra, the energy/channel-relation and the dependence of
energy resolution are presented.


title:
Spitzer spectral line mapping of supernova remnants: I. Basic data and
  principal component analysis

abstract:
  We report the results of spectroscopic mapping observations carried out
toward small (1 x 1 arcmin) regions within the supernova remnants W44, W28,
IC443, and 3C391 using the Infrared Spectrograph of the Spitzer Space
Telescope. These observations, covering the 5.2 - 37 micron spectral region,
have led to the detection of a total of 15 fine structure transitions of Ne+,
Ne++, Si+, P+, S, S++, Cl+, Fe+, and Fe++; the S(0) - S(7) pure rotational
lines of molecular hydrogen; and the R(3) and R(4) transitions of hydrogen
deuteride. In addition to these 25 spectral lines, the 6.2, 7.7, 8.6, 11.3 and
12.6 micron PAH emission bands were also observed. Most of the detected line
transitions have proven strong enough to map in several sources, providing a
comprehensive picture of the relative distribution of the various line
emissions observable in the Spitzer/IRS bandpass. A principal component
analysis of the spectral line maps reveals that the observed emission lines
fall into five distinct groups, each of which may exhibit a distinct spatial
distribution: (1) lines of S and H2 (J > 2); (2) the H2 S(0) line; (3) lines of
ions with appearance potentials less than 13.6 eV; (4) lines of ions with
appearance potentials greater than 13.6 eV, not including S++; (5) lines of
S++. Lines of group (1) likely originate in molecular material subject to a
slow, nondissociative shock that is driven by the overpressure within the
supernova remnant, and lines in groups (3) - (5) are associated primarily with
dissociative shock fronts with a range of (larger) shock velocities. The H2
S(0) line shows a low-density diffuse emission component, and - in some sources
- a shock-excited component.


title: Single photoeffect on helium-like ions in the non-relativistic region

abstract:
  We present a generalization of the pioneering results obtained for single
K-shell photoionization of H-like ions by M. Stobbe [Ann. Phys. 7 (1930) 661]
to the case of the helium isoelectronic sequence. The total cross section of
the process is calculated, taking into account the correlation corrections to
first order of the perturbation theory with respect to the electron-electron
interaction. Predictions are made for the entire non-relativistic energy
domain. The phenomenon of dynamical suppression of correlation effects in the
ionization cross section is discussed.


title:
DMRG study of the Bond Alternating \textbf{S}=1/2 Heisenberg ladder with
  Ferro-Antiferromagnetic couplings

abstract:
  We obtain the phase diagram in the parameter space $(J'/J, \gamma)$ and an
accurate estimate of the critical line separating the different phases. We show
several measuments of the magnetization, dimerization, nearest neighbours
correlation, and density of energy in the different zones of the phase diagram,
as well as a measurement of the string order parameter proposed as the non
vanishing phase order parameter characterizing Haldane phases. All these
results will be compared in the limit $J'/J\gg 1$ with the behaviour of the
$\textbf{S}=1$ Bond Alternated Heisenberg Chain (BAHC). The analysis of our
data supports the existence of a dimer phase separated by a critical line from
a Haldane one, which has exactly the same nature as the Haldane phase in the
$\textbf{S}=1$ BAHC.


title: Metal and molecule cooling in simulations of structure formation

abstract:
  Cooling is the main process leading to the condensation of gas in the dark
matter potential wells and consequently to star and structure formation. In a
metal-free environment, the main available coolants are H, He, H$_2$ and HD;
once the gas is enriched with metals, these also become important in defining
the cooling properties of the gas. We discuss the implementation in Gadget-2 of
molecular and metal cooling at temperatures lower that $\rm10^4 K$, following
the time dependent properties of the gas and pollution from stellar evolution.
We have checked the validity of our scheme comparing the results of some test
runs with previous calculations of cosmic abundance evolution and structure
formation, finding excellent agreement. We have also investigated the relevance
of molecule and metal cooling in some specific cases, finding that inclusion of
HD cooling results in a higher clumping factor of the gas at high redshifts,
while metal cooling at low temperatures can have a significant impact on the
formation and evolution of cold objects.


title: Stability in random Boolean cellular automata on the integer lattice

abstract:
  We consider random boolean cellular automata on the integer lattice, i.e.,
the cells are identified with the integers from 1 to $N$. The behaviour of the
automaton is mainly determined by the support of the random variable that
selects one of the sixteen possible Boolean rules, independently for each cell.
A cell is said to stabilize if it will not change its state anymore after some
time. We classify the random boolean automata according to the positivity of
their probability of stabilization. Here is an example of a consequence of our
results: if the support contains at least 5 rules, then asymptotically as $N$
tends to infinity the probability of stabilization is positive, whereas there
exist random boolean cellular automata with 4 rules in their support for which
this probability tends to 0.


title: Calibration of the GLAST Burst Monitor detectors

abstract:
  The GLAST Burst Monitor (GBM) will augment the capabilities of GLAST for the
detection of cosmic gamma-ray bursts by extending the energy range (20 MeV to >
300 GeV) of the Large Area Telescope (LAT) towards lower energies by 2
BGO-detectors (150 keV to 30 MeV) and 12 NaI(Tl) detectors (10 keV to 1 MeV).
The physical detector response of the GBM instrument for GRBs is determined
with the help of Monte Carlo simulations, which are supported and verified by
on-ground calibration measurements, performed extensively with the individual
detectors at the MPE in 2005. All flight and spare detectors were irradiated
with calibrated radioactive sources in the laboratory (from 14 keV to 4.43
MeV). The energy/channel-relations, the dependences of energy resolution and
effective areas on the energy and the angular responses were measured. Due to
the low number of emission lines of radioactive sources below 100 keV,
calibration measurements in the energy range from 10 keV to 60 keV were
performed with the X-ray radiometry working group of the
Physikalisch-Technische Bundesanstalt (PTB) at the BESSY synchrotron radiation
facility, Berlin.


title: Dispersion relations and subtractions in hard exclusive processes

abstract:
  We study analytical properties of the hard exclusive processes amplitudes. We
found that QCD factorization for deeply virtual Compton scattering and hard
exclusive vector meson production results in the subtracted dispersion relation
with the subtraction constant determined by the Polyakov-Weiss $D$-term. The
relation of this constant to the fixed pole contribution found by Brodsky,
Close and Gunion and defined by parton distributions is proved, while its
manifestation is spoiled by the small $x$ divergence. The continuation to the
real photons limit is considered and the numerical correspondence between
lattice simulations of $D$-term and low energy Thomson amplitude is found.


abstract:
  This submission has been withdrawn by arXiv administrators because it is a
duplicate of 0704.2182.


title:
Light curves and colours of the faint Uranian irregular satellites
  Sycorax, Prospero, Stephano, Setebos and Trinculo

abstract:
  After the work of Gladman et al. (1998), it is now assessed that many
irregular satellites are orbiting around Uranus. Despite many studies have been
performed in past years, very few is know for the light-curves of these objects
and inconsistencies are present between colours derived by different authors.
This situation motivated our effort to improve both the knowledge of colours
and light curves. We present and discuss time series observations of Sycorax,
Prospero, Stephano, Setebos and Trinculo, five faint irregular satellites of
Uranus, carried out at VLT, ESO Paranal (Chile) in the nights between 29 and 30
July, 2005 and 25 and 30 November, 2005. We derive light curves for Sycorax and
Prospero and colours for all of these these bodies. For Sycorax we obtain
colours B-V =0.839 +/- 0.014, V-R = 0.531 +/- 0.005 and a light curve which is
suggestive of a periodical variation with period about 3.6 hours and amplitude
about 0.067 +/- 0.004 mag. The periods and colours we derive for Sycorax are in
agreement with our previous determination in 1999 using NTT. We derive also a
light-curve for Prospero which suggests an amplitude of about 0.2 mag and a
periodicity of about 4 hours. However, the sparseness of our data, prevents a
more precise characterization of the light-curves, and we can not determine
wether they are one-peaked or two-peaked. Hence, these periods and amplitudes
have to be considered preliminary estimates. As for Setebos, Stephano and
Trinculo the present data do not allow to derive any unambiguous periodicity,
despite Setebos displays a significant variability with amplitude about as
large as that of Prospero. Colours for Prospero, Setebos, Stephano and Trinculo
are in marginal agreement with the literature.


title:
Route to Room-Temperature Superconductivity from a Practical Point of
  View

abstract:
  To synthesize a new superconductor which has a critical temperature, Tc,
exceeding the room temperature, one needs to know what chemical components to
start with. This chapter presents analysis of experimental data which allow one
to draw a conclusion about components and the structure of a potential
room-temperature superconductor. The two essential components of a room
temperature superconductor are large organic molecules (polymers, tissues) and
atoms/molecules which are magnetic in the intercalated state. This conclusion
is fully based on experimental facts known today, and does not require any
assumptions about the mechanism of room-temperature superconductivity. This,
however, does not mean that to synthesize a room-temperature superconductor is
an easy task.


title: Selection effects shaping the Gamma Ray Burst redshift distributions

abstract:
  Long Gamma Ray Bursts hold the promise of probing star-formation and metal
enrichment up to very high redshifts. The present GRB samples with redshift
determination are largely incomplete and therefore a careful analysis of
selection effects is mandatory before any conclusion can be drawn from the
observed GRB redshift distribution. We study and compare three well defined
samples of long GRBs detected by Swift, HETE2 and BeppoSAX. We find that Swift
GRBs are slighly fainter and harder than BeppoSAX and HETE2 GRBs, as expected
due to the higher energy range in which Swift GRBs are detected and localized,
compared to BeppoSAX and HETE2. Gas and dust obscuration plays a role in
shaping the GRB samples and the present samples of GRBs with redshift. We argue
that the majority of the bright Swift GRBs without redshift might actually be
z<~2 events therefore the present Swift GRB sample with redshift is biased
against low-z GRBs. On the other hand, the detection of bright UV rest-frame
afterglows from high-z GRBs, and even from those with large X-ray obscuration,
implies a dust amount lower than in nearby GRBs,and/or a different dust
composition. If this is the case, the Swift sample of GRBs with redshifts is
probably a fair sample of the real high-z GRB population. The absence of high-z
GRBs in the BeppoSAX and HETE2 samples of GRBs with redshifts is probably due
to the fact at the time of BeppoSAX and HETE2 follow-up faint afterglows of
high redshift GRBs will have weaken below the spectroscopic capabilities of
even 10m class telescopes. The redshift distribution of a subsample of Swift
GRBs with distributions of peak-fluxes, X-ray obscuration and optical magnitude
at a fixed observing time similar to those of the BeppoSAX and HETE2 samples,
is roughly consistent with BeppoSAX+HETE2 redshift distribution.


title:
Theoretical study of the accuracy limits for the optical resonance
  frequency measurements

abstract:
  The principal limits for the accuracy of the resonance frequency measurements
set by the asymmetry of the natural resonance line shape are studied and
applied to the recent accurate frequency measurements in the two-photon 1s-2s
resonance and in the one-photon 1s-2p resonance in hydrogen atom. This limit
for 1s-2s resonance is found to be $\sim 10^{-5}$ Hz compared to the accuracy
achieved in experiment $\pm 46$ Hz. In case of deuterium atom the limit is
essentially larger: $10^{-2}$ Hz. For 1s-2p resonance the accuracy limit is
0.17 MHz while the uncertainty of the recent frequency measurement is about 6
MHz.


title: Mismatch Repair Error Implies Chargaff's Second Parity Rule

abstract:
  Chargaff's second parity rule holds empirically for most types of DNA that
along single strands of DNA the base contents are equal for complimentary
bases, A = T, G = C. A Markov chain model is constructed to track the evolution
of any single base position along single strands of genomes whose organisms are
equipped with replication mismatch repair. Under the key assumptions that
mismatch error rates primarily depend the number of hydrogen bonds of
nucleotides and that the mismatch repairing process itself makes strand
recognition error, the model shows that the steady state probabilities for any
base position to take on one of the 4 nucleotide bases are equal for
complimentary bases. As a result, Chargaff's second parity rule is the
manifestation of the Law of Large Number acting on the steady state
probabilities. More importantly, because the model pinpoints mismatch repair as
a basis of the rule, it is suitable for experimental verification.


title: Comptonization and the Spectra of Accretion-Powered X-Ray Pulsars

abstract:
  Accretion-powered X-ray pulsars are among the most luminous X-ray sources in
the Galaxy. However, despite decades of theoretical and observational work
since their discovery, no satisfactory model for the formation of the observed
X-ray spectra has emerged. In this paper, we report on a self-consistent
calculation of the spectrum emerging from a pulsar accretion column that
includes an explicit treatment of the bulk and thermal Comptonization occurring
in the radiation-dominated shocks that form in the accretion flows. Using a
rigorous eigenfunction expansion method, we obtain a closed-form expression for
the Green's function describing the upscattering of monochromatic radiation
injected into the column. The Green's function is convolved with
bremsstrahlung, cyclotron, and blackbody source terms to calculate the emergent
photon spectrum. We show that energization of photons in the shock naturally
produces an X-ray spectrum with a relatively flat continuum and a high-energy
exponential cutoff. Finally, we demonstrate that our model yields good
agreement with the spectra of the bright pulsar Her X-1 and the low luminosity
pulsar X Per.


title:
Liquid Drop Stability of a Superdeformed Prolate Semi-Spheroidal Atomic
  Cluster

abstract:
  Analytical relationships for the surface and curvature energies of oblate and
prolate semi-spheroidal atomic clusters have been obtained. By modifying the
cluster shape from a spheroid to a semi-spheroid the most stable shape was
changed from a sphere to a superdeformed prolate semi-spheroid (including the
flat surface of the end cap). Potential energy surfaces vs. deformation and the
number of atoms, N, illustrate this property independent of N.


title: Casimir Friction I: Friction of a vacuum on a spinning dielectric

abstract:
  We introduce the concept of Casimir friction, i.e. friction due to quantum
fluctuations. In this first article we describe the calculation of a constant
torque, arising from the scattering of quantum fluctuations, on a dielectric
rotating in an electromagnetic vacuum.


title:
Absolute Calibration and Characterization of the Multiband Imaging
  Photometer for Spitzer. I. The Stellar Calibrator Sample and the 24 micron
  Calibration

abstract:
  We present the stellar calibrator sample and the conversion from instrumental
to physical units for the 24 micron channel of the Multiband Imaging Photometer
for Spitzer (MIPS). The primary calibrators are A stars, and the calibration
factor based on those stars is 4.54*10^{-2} MJy sr^{-1} (DN/s)^{-1}, with a
nominal uncertainty of 2%. We discuss the data-reduction procedures required to
attain this accuracy; without these procdures, the calibration factor obtained
using the automated pipeline at the Spitzer Science Center is 1.6% +/- 0.6%
lower. We extend this work to predict 24 micron flux densities for a sample of
238 stars which covers a larger range of flux densities and spectral types. We
present a total of 348 measurements of 141 stars at 24 micron. This sample
covers a factor of ~460 in 24 micron flux density, from 8.6 mJy up to 4.0 Jy.
We show that the calibration is linear over that range with respect to target
flux and background level. The calibration is based on observations made using
3-second exposures; a preliminary analysis shows that the calibration factor
may be 1% and 2% lower for 10- and 30-second exposures, respectively. We also
demonstrate that the calibration is very stable: over the course of the
mission, repeated measurements of our routine calibrator, HD 159330, show a
root-mean-square scatter of only 0.4%. Finally, we show that the point spread
function (PSF) is well measured and allows us to calibrate extended sources
accurately; Infrared Astronomy Satellite (IRAS) and MIPS measurements of a
sample of nearby galaxies are identical within the uncertainties.


title:
Absolute Calibration and Characterization of the Multiband Imaging
  Photometer for Spitzer. II. 70 micron Imaging

abstract:
  The absolute calibration and characterization of the Multiband Imaging
Photometer for Spitzer (MIPS) 70 micron coarse- and fine-scale imaging modes
are presented based on over 2.5 years of observations. Accurate photometry
(especially for faint sources) requires two simple processing steps beyond the
standard data reduction to remove long-term detector transients. Point spread
function (PSF) fitting photometry is found to give more accurate flux densities
than aperture photometry. Based on the PSF fitting photometry, the calibration
factor shows no strong trend with flux density, background, spectral type,
exposure time, or time since anneals. The coarse-scale calibration sample
includes observations of stars with flux densities from 22 mJy to 17 Jy, on
backgrounds from 4 to 26 MJy sr^-1, and with spectral types from B to M. The
coarse-scale calibration is 702 +/- 35 MJy sr^-1 MIPS70^-1 (5% uncertainty) and
is based on measurements of 66 stars. The instrumental units of the MIPS 70
micron coarse- and fine-scale imaging modes are called MIPS70 and MIPS70F,
respectively. The photometric repeatability is calculated to be 4.5% from two
stars measured during every MIPS campaign and includes variations on all time
scales probed. The preliminary fine-scale calibration factor is 2894 +/- 294
MJy sr^-1 MIPS70F^-1 (10% uncertainty) based on 10 stars. The uncertainty in
the coarse- and fine-scale calibration factors are dominated by the 4.5%
photometric repeatability and the small sample size, respectively. The 5-sigma,
500 s sensitivity of the coarse-scale observations is 6-8 mJy. This work shows
that the MIPS 70 micron array produces accurate, well calibrated photometry and
validates the MIPS 70 micron operating strategy, especially the use of frequent
stimulator flashes to track the changing responsivities of the Ge:Ga detectors.


title: Excited states of the helium-antihydrogen system

abstract:
  Potential energy curves for excited leptonic states of the
helium-antihydrogen system are calculated within Ritz' variational approach. An
explicitly correlated ansatz for the leptonic wave function is employed
describing accurately the motion of the leptons (two electrons and positron) in
the field of the helium nucleus and of the antiproton with arbitrary orbital
angular momentum projection $\Lambda$ onto the internuclear axis. Results for
$\Lambda$=0, 1 and 30 are presented. For quasibound states with large values of
$\Lambda$ and rotational quantum numbers $J>\Lambda$ no annihilation and
rearrangement decay channels occur, i. e. they are metastable.


title: Braneworld Cosmology

abstract:
  A brief review of the field of braneworld cosmology, from its inception with
the large extra dimension scenario, to aspects of cosmology in warped extra
dimensions, including the RS-I and RS-II models, braneworld inflation, the
Goldberger-Wise mechanism, mirage cosmology, the radion-induced phase
transition in RS-I, possible gravity wave signals, and the DGP model.


title: Equilibrium states for interval maps: the potential $-t\log |Df|$

abstract:
  Let $f:I \to I$ be a $C^2$ multimodal interval map satisfying polynomial
growth of the derivatives along critical orbits. We prove the existence and
uniqueness of equilibrium states for the potential $\phi_t:x\mapsto
-t\log|Df(x)|$ for $t$ close to 1, and also that the pressure function $t
\mapsto P(\phi_t)$ is analytic on an appropriate interval near $t = 1$.


title: Boolean network model predicts cell cycle sequence of fission yeast

abstract:
  A Boolean network model of the cell-cycle regulatory network of fission yeast
(Schizosaccharomyces Pombe) is constructed solely on the basis of the known
biochemical interaction topology. Simulating the model in the computer,
faithfully reproduces the known sequence of regulatory activity patterns along
the cell cycle of the living cell. Contrary to existing differential equation
models, no parameters enter the model except the structure of the regulatory
circuitry. The dynamical properties of the model indicate that the biological
dynamical sequence is robustly implemented in the regulatory network, with the
biological stationary state G1 corresponding to the dominant attractor in state
space, and with the biological regulatory sequence being a strongly attractive
trajectory. Comparing the fission yeast cell-cycle model to a similar model of
the corresponding network in S. cerevisiae, a remarkable difference in
circuitry, as well as dynamics is observed. While the latter operates in a
strongly damped mode, driven by external excitation, the S. pombe network
represents an auto-excited system with external damping.


title: Arabic Speech Recognition System using CMU-Sphinx4

abstract:
  In this paper we present the creation of an Arabic version of Automated
Speech Recognition System (ASR). This system is based on the open source
Sphinx-4, from the Carnegie Mellon University. Which is a speech recognition
system based on discrete hidden Markov models (HMMs). We investigate the
changes that must be made to the model to adapt Arabic voice recognition.
  Keywords: Speech recognition, Acoustic model, Arabic language, HMMs,
CMUSphinx-4, Artificial intelligence.


title:
Non-adiabatic Effects in the Dissociation of Oxygen Molecules at the
  Al(111) Surface

abstract:
  The measured low initial sticking probability of oxygen molecules at the
Al(111) surface that had puzzled the field for many years was recently
explained in a non-adiabatic picture invoking spin-selection rules [J. Behler
et al., Phys. Rev. Lett. 94, 036104 (2005)]. These selection rules tend to
conserve the initial spin-triplet character of the free O2 molecule during the
molecule's approach to the surface. A new locally-constrained
density-functional theory approach gave access to the corresponding
potential-energy surface (PES) seen by such an impinging spin-triplet molecule
and indicated barriers to dissociation which reduce the sticking probability.
Here, we further substantiate this non-adiabatic picture by providing a
detailed account of the employed approach. Building on the previous work, we
focus in particular on inaccuracies in present-day exchange-correlation
functionals. Our analysis shows that small quantitative differences in the
spin-triplet constrained PES obtained with different gradient-corrected
functionals have a noticeable effect on the lowest kinetic energy part of the
resulting sticking curve.


title:
On Abelian Difference Sets with Parameters of 3-dimensional Projective
  Geometries

abstract:
  A difference set is said to have classical parameters if $ (v,k, \lambda) =
(\frac{q^d-1}{q-1}, \frac{q^{d-1}-1}{q-1}, \frac{q^{d-2}-1}{q-1}).$ The case
$d=3$ corresponds to planar difference sets. We focus here on the family of
abelian difference sets with $d=4$. The only known examples of such difference
sets correspond to the projective geometries $PG(3,q)$. We consider an
arbitrary difference set with the parameters of $PG(3,q)$ in an abelian group
and establish constraints on its structure. In particular, we discern embedded
substructures.


title: The Differential Rotation of Kappa1 Ceti as Observed by MOST

abstract:
  We first reported evidence for differential rotation of Kappa1 Ceti in Paper
I. In this paper we demonstrate that the differential rotation pattern closely
matches that for the Sun. This result is based on additional MOST
(Microvariability & Oscillations of STars) observations in 2004 and 2005, to
complement the 2003 observations discussed in Paper I. Using StarSpotz, a
program developed specifically to analyze MOST photometry, we have solved for
k, the differential rotation coefficient, and P_{EQ}, the equatorial rotation
period using the light curves from all three years. The spots range in latitude
from 10 to 75 degrees and k = 0.090^{+0.006}_{-0.005} -- less than the solar
value but consistent with the younger age of the star. k is also well
constrained by the independent spectroscopic estimate of vsini. We demonstrate
independently that the pattern of differential rotation with latitude in fact
conforms to solar.
  Details are given of the parallel tempering formalism used in finding the
most robust solution which gives P_{EQ} = 8.77^{+0.03}_{-0.04} days -- smaller
than that usually adopted, implying an age < 750 My. Our values of P_{EQ} and k
can explain the range of rotation periods determined by others by spots or
activity at a variety of latitudes. Historically, Ca II activity seems to occur
consistently between latitudes 50 and 60 degrees which might indicate a
permanent magnetic feature. Knowledge of k and P_{EQ} are key to understanding
the dynamo mechanism and rotation structure in the convective zone as well
assessing age for solar-type stars. We recently published values of k and
P_{EQ} for epsilon Eri based on MOST photometry and expect to analyze MOST
light curves for several more spotted, solar-type stars.


title: Vector mesons from AdS/TC to the LHC

abstract:
  With the use of the AdS/CFT dictionary, a five-dimensional effective
description of dynamical electro-weak symmetry breaking with walking behavior
is constructed. The minimal model contains only two new parameters, the
confinement scale and the effective coupling of the new strong sector. This
parameter space is restricted by the precision electro-weak constraints and by
the requirement that the five-dimensional coupling be perturbative
(corresponding to the large-N regime in four-dimensional language). The
lightest observable new states are a set of four nearly degenerate spin-1
states with the same quantum numbers as the standard-model electro-weak gauge
bosons, and masses in the few TeV range. Their decay rate is dominated by
two-fermion final states. The number of pp -> mu mu and pp -> mu nu events is
studied as a function of the LHC integrated luminosity and of the two free
parameters. Discovery at the LHC is possible over a significant part of the
allowed parameter space up to masses of 4 TeV already with 10/fm of integrated
luminosity.


title: Motives for perfect PAC fields with pro-cyclic Galois group

abstract:
  Denef and Loeser defined a map from the Grothendieck ring of sets definable
in pseudo-finite fields to the Grothendieck ring of Chow motives, thus enabling
to apply any cohomological invariant to these sets. We generalize this to
perfect, pseudo algebraically closed fields with pro-cyclic Galois group. In
addition, we define some maps between different Grothendieck rings of definable
sets which provide additional information, not contained in the associated
motive. In particular we infer that the map of Denef-Loeser is not injective.


title: Adjoint Functors and Heteromorphisms

abstract:
  Category theory has foundational importance because it provides conceptual
lenses to characterize what is important in mathematics. Originally the main
lenses were universal mapping properties and natural transformations. In recent
decades, the notion of adjoint functors has moved to center-stage as category
theory's primary tool to characterize what is important in mathematics. Our
focus here is to present a theory of adjoint functors. The basis for the theory
is laid by first showing that the object-to-object "heteromorphisms" between
the objects of different categories (e.g., insertion of generators as a set to
group map) can be rigorously treated within category theory. The heteromorphic
theory shows that all adjunctions arise from the birepresentations of the
heteromorphisms between the objects of different categories.


title: Factor Analysis and Alternating Minimization

abstract:
  In this paper we make a first attempt at understanding how to build an
optimal approximate normal factor analysis model. The criterion we have chosen
to evaluate the distance between different models is the I-divergence between
the corresponding normal laws. The algorithm that we propose for the
construction of the best approximation is of an the alternating minimization
kind.


title:
Rotational Widths for Use in the Tully-Fisher Relation. II. The Impact
  of Surface Brightness

abstract:
  Using a large sample of spiral galaxies for which 21 cm single-dish and/or
long-slit optical spectra are available, we make a detailed comparison between
various estimates of rotational widths. Different optical width estimators are
considered and their limitations discussed, with emphasis on biases associated
with rotation curve properties (shape and extent) and disk central surface
brightness. The best match with HI rotational velocities is obtained with
Polyex widths, which are measured at the optical radius (encompassing a fixed
fraction of the total light of the galaxy) from a model fit to the rotation
curve. In contrast with Polyex widths, optical rotational velocities measured
at 2.15 disk scale lengths r_d deviate from HI widths by an amount that
correlates with the central surface brightness of the disk. This bias occurs
because the rotation curves of galaxies are in general still rising at 2.15
r_d, and the fraction of total mass contained within this radius decreases with
increasing disk surface brightness. Statistical corrections, parameterized by
the radial extent of the observed rotation curve, are provided to reduce Polyex
and HI width measurements into a homogeneous system. This yields a single
robust estimate of rotational velocity to be used for applications of disk
scaling relations.


title: First Constraints on Source Counts at 350 Microns

abstract:
  We have imaged a $\sim$6 arcminute$^2$ region in the Bo\"otes Deep Field
using the 350 $\mu$m-optimised second generation Submillimeter High Angular
Resolution Camera (SHARC II), achieving a peak 1$\sigma$ sensitivity of $\sim$5
mJy. We detect three sources above 3$\sigma$, and determine a spurious source
detection rate of 1.09 in our maps. In the absence of $5\sigma$ detections, we
rely on deep 24 $\mu$m and 20 cm imaging to deduce which sources are most
likely to be genuine, giving two real sources. From this we derive an integral
source count of 0.84$^{+1.39}_{-0.61}$ sources arcmin$^{-2}$ at $S>13$ mJy,
which is consistent with 350 $\mu$m source count models that have an
IR-luminous galaxy population evolving with redshift. We use these constraints
to consider the future for ground-based short-submillimetre surveys.


title:
Electronic Transport in the Oxygen Deficient Ferromagnetic
  Semiconducting TiO$_{2-\delta}$

abstract:
  TiO$_{2-\delta}$ films were deposited on (100) Lanthanum aluminates
LaAlO$_{3}$ substrates at a very low oxygen chamber pressure $P\approx 0.3$
mtorr employing a pulsed laser ablation deposition technique. In previous work,
it was established that the oxygen deficiency in these films induced
ferromagnetism. In this work it is demonstrated that this same oxygen
deficiency also gives rise to semiconductor titanium ion impurity donor energy
levels. Transport resistivity measurements in thin films of TiO$_{2-\delta}$
are presented as a function of temperature and magnetic field. Magneto- and
Hall- resistivity is explained in terms of electronic excitations from the
titanium ion donor levels into the conduction band.


title:
Minimax State Observation in Linear One Dimensional 2-Point Boundary
  Value Problems

abstract:
  In this paper we study observation problem for linear 2-point BVP Dx=Bf
assuming that information about system input f and random noise \eta in system
state observation model y=Hx+\eta$ is incomplete (f and M\eta\eta' are some
arbitrary elements of given sets). A criterion of guaranteed (minimax)
estimation error finiteness is proposed. Representations of minimax estimations
are obtained in terms of 2-point BVP solutions. It is proved that in general
case we can only estimate a projection of system state onto some linear
manifold $F$. In particular, $F=L_2$ if $dim N(D H) = 0$. Also we propose a
procedure which decides if given linear functional belongs to $F$.


title: From Lie Theory to Deformation Theory and Quantization

abstract:
  Deformation Theory is a natural generalization of Lie Theory, from Lie groups
and their linearization, Lie algebras, to differential graded Lie algebras and
their higher order deformations, quantum groups.
  The article focuses on two basic constructions of deformation theory: the
universal solution of Maurer-Cartan Equation (MCE), which plays the role of the
exponential of Lie Theory, and its inverse, the Kuranishi functor, as the
logarithm.
  The deformation functor is the gauge reduction of MCE, corresponding to a
Hodge decomposition associated to the strong deformation retract data.
  The above comparison with Lie Theory leads to a better understanding of
Deformation Theory and its applications, e.g. the relation between quantization
and Connes-Kreimer renormalization, quantum doubles and Birkhoff decomposition.


title: The Picard group of $M_{1,1}$

abstract:
  We compute the Picard group of the moduli stack of elliptic curves and its
canonical compactification over general base schemes.


title: Impact of spin-orbit coupling on quantum Hall nematic phases

abstract:
  Anisotropic charge transport is observed in a two-dimensional (2D) hole
system in a perpendicular magnetic field at filling factors nu=7/2, nu=11/2,
and nu=13/2 at low temperature. In stark contrast, the transport at nu=9/2 is
isotropic for all temperatures. Isotropic hole transport at nu=7/2 is restored
for sufficiently low 2D densities or an asymmetric confining potential. The
density and symmetry dependences of the observed anisotropies suggest that
strong spin-orbit coupling in the hole system contributes to the unusual
transport behavior.


title: Maximally Sparse Polynomials have Solid Amoebas

abstract:
  Let $f$ be an ordinary polynomial in $\mathbb{C}[z_1,..., z_n]$ with no
negative exponents and with no factor of the form $z_1^{\alpha_1}...
z_n^{\alpha_n}$ where $\alpha_i$ are non zero natural integer. If we assume in
addicting that $f$ is maximally sparse polynomial (that its support is equal to
the set of vertices of its Newton polytope), then a complement component of the
amoeba $\mathscr{A}_f$ in $\mathbb{R}^n$ of the algebraic hypersurface
$V_f\subset (\mathbb{C}^*)^n$ defined by $f$, has order lying in the support of
$f$, which means that $\mathscr{A}_f$ is solid. This gives an affirmative
answer to Passare and Rullg\aa rd question in [PR2-01].


title: Analysis of the Effect of a Mean Velocity Field on Mean Field Dynamo

abstract:
  We study semi-analytically and in a consistent manner, the generation of a
mean velocity field $\bar{\mathbf{U}}$ by helical MHD turbulence, and the
effect that this field can have on a Mean Field Dynamo. Assuming a prescribed,
maximally helical small scale velocity field, we show that large scale flows
can be generated in MHD turbulent flows, via small scale Lorentz force. These
flows back-react on the mean electromotive force of a Mean Field Dynamo through
new terms, leaving the original $\alpha $ and $\beta $ terms explicitly
unmodified. Cross-helicity plays the key role in interconnecting all the
effects. In the minimal $\tau$ closure that we chose to work with, the effects
are stronger for large relaxation times.