title: Exploring the Virgo Stellar Stream with SEKBO Survey RR Lyrae Stars

abstract:
  A subset of the RR Lyrae (RRL) candidates identified from the Southern
Edgeworth-Kuiper Belt Object (SEKBO) survey data has been followed up
photometrically (n=106) and spectroscopically (n=51). Period and light curve
fitting reveals a 24 +/_ 7% contamination of SEKBO survey data by non-RRLs.
This paper focuses on the region of the Virgo Stellar Stream (VSS),
particularly on its extension to the South of the declination limits of the
SDSS and of the QUEST RRL survey. The distribution of radial velocities in the
Galactic standard of rest frame (V_GSR) for the 11 RRLs observed in the VSS
region has two apparent peaks. The larger peak coincides with the four RRLs
having <V_GSR>=127 +/_ 10 kms-1 and dispersion sigma=27 kms-1, marginally
larger than that expected from the errors alone. The two type ab RRLs in this
group have <[Fe/H]>=-1.95 +/_ 0.1. Both the radial velocities and metal
abundances are consistent with membership in the VSS. The second velocity peak,
which occurs at <V_GSR>=-175 +/_ 10 kms-1 may indicate the presence of stars
from the Sgr leading tidal tail, which is expected to have large negative
velocities in this region. We explore the extent of the VSS by constructing
luminosity functions from the SEKBO data and comparing them to data synthesized
with the Besancon Galactic model. Analysis of the excess over the model
predictions reveals the VSS as a large (~760 deg^2) overdensity centered at
roughly (RA, Dec) ~ (186deg, -4deg), spanning a length of ~15 kpc in
projection, assuming a heliocentric distance of 19kpc. The data reveal for the
first time the more southern regions of the stream and trace it to Dec ~ -15deg
and Galactic latitudes as low as b ~ 45deg.


title: Lax forms of the $q$-Painlev\'e equations

abstract:
  All $q$-Painlev\'e equations which are obtained from the $q$-analog of the
sixth Painlev\'e equation are expressed in a Lax formalism. They are
characterized by the data of the associated linear $q$-difference equations.
The degeneration pattern from the $q$-Painlev\'e equation of type $A_2$ is also
presented.


title: Eigenvalue inequalities for Klein-Gordon Operators

abstract:
  We consider the pseudodifferential operators $H_{m,\Omega}$ associated by the
prescriptions of quantum mechanics to the Klein-Gordon Hamiltonian $\sqrt{|{\bf
P}|^2+m^2}$ when restricted to a compact domain $\Omega$ in ${\mathbb R}^d$.
When the mass $m$ is 0 the operator $H_{0,\Omega}$ coincides with the generator
of the Cauchy stochastic process with a killing condition on $\partial \Omega$.
(The operator $H_{0,\Omega}$ is sometimes called the {\it fractional Laplacian}
with power 1/2, cf. \cite{Gie}.) We prove several universal inequalities for
the eigenvalues $0 < \beta_1 < \beta_2 \le >...$ of $H_{m,\Omega}$ and their
means $\overline{\beta_k} := \frac{1}{k} \sum_{\ell=1}^k{\beta_\ell}$.
  Among the inequalities proved are: {\overline{\beta_k}} \ge {\rm cst.}
(\frac{k}{|\Omega|})^{1/d} for an explicit, optimal "semiclassical" constant,
and, for any dimension $d \ge 2$ and any $k$: \beta_{k+1} \le \frac{d+1}{d-1}
\overline{\beta_k}. Furthermore, when $d \ge 2$ and $k \ge 2j$,
\frac{\overline{\beta}_{k}}{\overline{\beta}_{j}} \leq
\frac{d}{2^{1/d}(d-1)}(\frac{k}{j})^{\frac{1}{d}}.
  Finally, we present some analogous estimates allowing for an external
potential energy field, i.e, $H_{m,\Omega}+ V(\bf x)$, for $V(\bf x)$ in
certain function classes.


title:
Invariants, Kronecker Products, and Combinatorics of Some Remarkable
  Diophantine Systems (Extended Version)

abstract:
  This work lies across three areas (in the title) of investigation that are by
themselves of independent interest. A problem that arose in quantum computing
led us to a link that tied these areas together. This link consists of a single
formal power series with a multifaced interpretation. The deeper exploration of
this link yielded results as well as methods for solving some numerical
problems in each of these separate areas.


title: Rotation and Activity in Late-type M Dwarfs

abstract:
  We have examined the relationship between rotation and activity in 14
late-type (M6-M7) M dwarfs, using high resolution spectra taken at the Keck
Observatory and flux-calibrated spectra from the Sloan Digital Sky Survey. Most
are inactive at a spectral type where H-alpha emission has previously seen to
be very common. We used the cross-correlation technique to quantify the
rotational broadening; six of the stars in our sample have vsini>3.5 km/s.
Three of these stars do not exhibit H-alpha emission, despite rotating at
velocities where previous work has observed strong levels of magnetic field and
stellar activity. Our results suggest that rotation and activity in late-type M
dwarfs may not always be linked, and open several additional possibilities
including a rotation dependant activity threshold, or a Maunder-minimum
phenomenon in fully convective stars.


title:
Fourier transforms of spherical distributions on compact symmetric
  spaces

abstract:
  In our previous articles "A local Paley-Wiener theorem for compact symmetric
spaces", Adv. Math. 218 (2008), 202--215, and "Fourier series on compact
symmetric spaces" (submitted) we studied Fourier series on a compact symmetric
space M=U/K. In particular, we proved a Paley-Wiener type theorem for the
smooth functions on M, which have sufficiently small support and are
K-invariant, respectively K-finite. In this article we extend those results to
K-invariant distributions on M. We show that the Fourier transform of a
distribution, which is supported in a sufficiently small ball around the base
point, extends to a holomorphic function of exponential type. We describe the
image of the Fourier transform in the space of holomorphic functions. We
characterize the singular support of a distribution in terms of its Fourier
transform. Finally, we use the Paley-Wiener theorem to characterize the
distributions of small support, which are in the range of a given invariant
differential operator.


title: Quark number Susceptibility and Phase Transition in hQCD Models

abstract:
  We study the quark number susceptibility, an indicator of QCD phase
transition, in the hard wall and soft wall models of hQCD. We find that the
susceptibilities in both models are the same, jumping up at the deconfinement
phase transition temperature. We also find that the diffusion constant in the
soft wall model is enhanced compared to the one in the hard wall model.


title:
Quantum mechanics and gravity as preclusion principles of four
  dimensional geometries

abstract:
  The goal of this paper is to employ a "preclusion principle" originally
suggested by Rafael Sorkin in order to come up with a relativistically
covariant model of quantum mechanics and gravity. Space-time is viewed as
geometry as opposed to dynamics, and "unwanted" histories in that geometry are
precluded.


title: Influence of velocity curl on conservation laws

abstract:
  The paper discusses impact of the velocity curl on some conservation laws in
the gravitational field and electromagnetic field, by means of the
characteristics of quaternions. When the velocity curl can not be neglected, it
will cause the predictions to departure slightly from the conservation laws,
which include mass continuity equation, charge continuity equation, and
conservation of spin, etc. And the scalar potential of gravitational field has
an effect on the speed of light, the conservation of mass, and conservation of
charge, etc. The results explain how the velocity curl influences some
conservation laws in the gravitational field and electromagnetic field.


title:
Lie algebroid structures on double vector bundles and representation
  theory of Lie algebroids

abstract:
  A VB-algebroid is essentially defined as a Lie algebroid object in the
category of vector bundles. There is a one-to-one correspondence between
VB-algebroids and certain flat Lie algebroid superconnections, up to a natural
notion of equivalence. In this setting, we are able to construct characteristic
classes, which in special cases reproduce characteristic classes constructed by
Crainic and Fernandes. We give a complete classification of regular
VB-algebroids, and in the process we obtain another characteristic class of Lie
algebroids that does not appear in the ordinary representation theory of Lie
algebroids.


title: Moduli of bundles on exotic del Pezzo orders

abstract:
  Maximal orders of rank 4 on the projective plane, ramified on a smooth plane
quartic are examples of exotic del Pezzo orders. We compute the possible Chern
classes for line bundles on such orders and show the moduli space of line
bundles with minimal second Chern class is either a point or a smooth genus two
curve.


title:
On the Index Coding Problem and its Relation to Network Coding and
  Matroid Theory

abstract:
  The \emph{index coding} problem has recently attracted a significant
attention from the research community due to its theoretical significance and
applications in wireless ad-hoc networks. An instance of the index coding
problem includes a sender that holds a set of information messages
$X=\{x_1,...,x_k\}$ and a set of receivers $R$. Each receiver $\rho=(x,H)\in R$
needs to obtain a message $x\in X$ and has prior \emph{side information}
comprising a subset $H$ of $X$. The sender uses a noiseless communication
channel to broadcast encoding of messages in $X$ to all clients. The objective
is to find an encoding scheme that minimizes the number of transmissions
required to satisfy the receivers' demands with \emph{zero error}.
  In this paper, we analyze the relation between the index coding problem, the
more general network coding problem and the problem of finding a linear
representation of a matroid. In particular, we show that any instance of the
network coding and matroid representation problems can be efficiently reduced
to an instance of the index coding problem. Our reduction implies that many
important properties of the network coding and matroid representation problems
carry over to the index coding problem. Specifically, we show that \emph{vector
linear codes} outperform scalar linear codes and that vector linear codes are
insufficient for achieving the optimum number of transmissions.


title: The Cyclotomic Birman-Murakami-Wenzl Algebras

abstract:
  -----
  Please see the pdf file for the actual abstract and important remarks, which
could not be put here due to the arXiv length restrictions.
  -----
  This thesis presents a study of the cyclotomic BMW (Birman-Murakami-Wenzl)
algebras, introduced by Haring-Oldenburg as a generalization of the BMW
algebras associated with the cyclotomic Hecke algebras of type G(k,1,n) (also
known as Ariki-Koike algebras) and type B knot theory involving
affine/cylindrical tangles.
  They are shown to be free of rank k^n (2n-1)!! and to have a topological
realization as a certain cylindrical analogue of the Kauffman Tangle algebra.
  Furthermore, the cyclotomic BMW algebras are proven to be cellular, in the
sense of Graham and Lehrer.
  This Ph.D. thesis, completed at the University of Sydney, was submitted
September 2007 and passed December 2007.


title: Artificial Rydberg Atom

abstract:
  We analyze bound states of an electron in the field of a positively charged
nanoshell. We find that the binding and excitation energies of the system
decrease when the radius of the nanoshell increases. We also show that the
ground and the first excited states of this system have remarkably the same
properties of the highly excited Rydberg states of a hydrogen-like atom i.e. a
high sensitivity to the external perturbations and long radiative lifetimes.


title:
Multipartite entanglement purification with quantum nondemolition
  detectors

abstract:
  We present a scheme for multipartite entanglement purification of quantum
systems in a Greenberger-Horne-Zeilinger state with quantum nondemolition
detectors (QNDs). This scheme does not require the controlled-not gates which
cannot be implemented perfectly with linear optical elements at present, but
QNDs based on cross-Kerr nonlinearities. It works with two steps, i.e., the
bit-flipping error correction and the phase-flipping error correction. These
two steps can be iterated perfectly with parity checks and simple single-photon
measurements. This scheme does not require the parties to possess sophisticated
single photon detectors. These features maybe make this scheme more efficient
and feasible than others in practical applications.


title: Rigid motion revisited: rigid quasilocal frames

abstract:
  We introduce the notion of a rigid quasilocal frame (RQF) as a geometrically
natural way to define a "system" in general relativity. An RQF is defined as a
two-parameter family of timelike worldlines comprising the worldtube boundary
of the history of a finite spatial volume, with the rigidity conditions that
the congruence of worldlines is expansion-free (constant size) and shear-free
(constant shape). This definition of a system is anticipated to yield simple,
exact geometrical insights into the problem of motion in general relativity. It
begins by answering the questions what is in motion (a rigid two-dimensional
system boundary), and what motions of this rigid boundary are possible. Nearly
a century ago Herglotz and Noether showed that a three-parameter family of
timelike worldlines in Minkowski space satisfying Born's 1909 rigidity
conditions has only three degrees of freedom instead of the six we are familiar
with from Newtonian mechanics. We argue that in fact we can implement Born's
notion of rigid motion in both flat spacetime (this paper) and arbitrary curved
spacetimes containing sources (subsequent papers) - with precisely the expected
three translational and three rotational degrees of freedom - provided the
system is defined quasilocally as the two-dimensional set of points comprising
the boundary of a finite spatial volume, rather than the three-dimensional set
of points within the volume.


title:
Virtual Resonant States in Two-Photon Decay Processes: Lower-Order
  Terms, Subtractions, and Physical Interpretations

abstract:
  We investigate the two-photon decay rate of a highly excited atomic state
which can decay to bound states of lower energy via cascade processes. We show
that a naive treatment of the process, based on the introduction of
phenomenological decay rates for the intermediate, resonant states, leads to
lower-order terms which need to be subtracted in order to obtain the coherent
two-photon correction to the decay rate. The sum of the lower-order terms is
exactly equal to the one-photon decay rate of the initial state, provided the
naive two-photon decay rates are summed over all available two-photon channels.
A quantum electrodynamics (QED) treatment of the problem leads to an
"automatic" subtraction of the lower-order terms.


title:
Reanalysis of the process of the cascade gamma decay of compound state
  of $^{198}$Au

abstract:
  To further study the "pygmy" resonance phenomena in the photon strength
function, we reanalyzed the two-step cascade data for the target nucleus
$^{197}$Au using the Dubna group approach.
  The range of obtained values allows for meaningful conclusions: the level
density at low excitation energy shows a step-like behavior; the electric
dipole photon strength function has a broad maximum around $E_{\gamma}=5$ MeV
and is not typical of a "pygmy" resonance; the level density below $B_{n}$ also
demonstrates step-like behavior.


title: Acerca del Algoritmo de Dijkstra

abstract:
  In this paper we prove the correctness of Dijkstra's algorithm. We also
discuss it and at the end we show an application.


title: Kergin Approximation in Banach Spaces

abstract:
  We explore the convergence of Kergin interpolation polynomials of holomorphic
functions in Banach spaces, which need not be of bounded type. We also
investigate a case where the Kergin series diverges.


title:
Multi-frequency investigation of the parsec- and kilo-parsec-scale radio
  structures in high-redshift quasar PKS 1402+044

abstract:
  We investigate the frequency-dependent radio properties of the jet of the
luminous high-redshift (z = 3.2) radio quasar PKS 1402+044 (J1405+0415) by
means of radio interferometric observations. The observational data were
obtained with the VLBI Space Observatory Programme (VSOP) at 1.6 and 5 GHz,
supplemented by other multi-frequency observations with the Very Long Baseline
Array (VLBA; 2.3, 8.4, and 15 GHz) and the Very Large Array (VLA; 1.4, 5, 15,
and 43 GHz). The observations span a period of 7 years. We find that the
luminous high-redshift quasar PKS 1402+044 has a pronounced "core-jet"
morphology from the parsec to the kilo-parsec scales. The jet shows a steeper
spectral index and lower brightness temperature with increasing distance from
the jet core. The variation of brightness temperature agrees well with the
shock-in-jet model. Assuming that the jet is collimated by the ambient magnetic
field, we estimate the mass of the central object as ~10^9 M_sun. The upper
limit of the jet proper motion of PKS 1402+044 is 0.03 mas/yr (~3c) in the
east-west direction.


title: Regular black hole in three dimensions

abstract:
  We find a new black hole in three dimensional anti-de Sitter space by
introducing an anisotropic perfect fluid inspired by the noncommutative black
hole. This is a regular black hole with two horizons. We compare thermodynamics
of this black hole with that of non-rotating BTZ black hole. The first-law of
thermodynamics is not compatible with the Bekenstein-Hawking entropy.


title: Return of the quantum cosmic censor

abstract:
  The influential theorems of Hawking and Penrose demonstrate that spacetime
singularities are ubiquitous features of general relativity, Einstein's theory
of gravity. The utility of classical general relativity in describing
gravitational phenomena is maintained by the cosmic censorship principle. This
conjecture, whose validity is still one of the most important open questions in
general relativity, asserts that the undesirable spacetime singularities are
always hidden inside of black holes. In this Letter we reanalyze extreme
situations which have been considered as counterexamples to the cosmic
censorship hypothesis. In particular, we consider the absorption of fermion
particles by a spinning black hole. Ignoring quantum effects may lead one to
conclude that an incident fermion wave may over spin the black hole, thereby
exposing its inner singularity to distant observers. However, we show that when
quantum effects are properly taken into account, the integrity of the
black-hole event horizon is irrefutable. This observation suggests that the
cosmic censorship principle is intrinsically a quantum phenomena.


title: Models and Observations of Sunspot Penumbrae

abstract:
  The mysteries of sunspot penumbrae have been under an intense scrutiny for
the past 10 years. During this time, some models have been proposed and
refuted, while the surviving ones had to be modified, adapted and evolved to
explain the ever-increasing array of observational constraints. In this
contribution I will review two of the present models, emphasizing their
contributions to this field, but also pinpointing some of their inadequacies to
explain a number of recent observations at very high spatial resolution. To
help explaining these new observations I propose some modifications to each of
them. These modifications bring those two seemingly opposite models closer
together into a general picture that agrees well with recent 3D
magneto-hydrodynamic simulations.


title: How Does Quantum Vacuum Energy Accelerate?

abstract:
  We show that Casimir energy for a configuration of parallel plates gravitates
according to the equivalence principle both for the finite and divergent parts.
This shows that the latter can be absorbed by a process of renormalization.


title:
Uniqueness for the vortex-wave system when the vorticity is constant
  near the point vortex

abstract:
  We prove uniqueness for the vortex-wave system with a single point vortex
introduced by Marchioro and Pulvirenti in the case where the vorticity is
initially constant near the point vortex. Our method relies on the Eulerian
approach for this problem and in particular on the formulation in terms of the
velocity.


title: Comment on "Uncertainty Relations for Positive Operator Valued Measures"

abstract:
  The principal aim of this Comment is to correct those entropic uncertainty
relations that are presented in a paper by Massar [arXiv:quant-ph/0703036v2
(current version)], concerning two approaches to a study of the noise produced
by POVM's. It is next emphasized that the first of the entropic bounds for POVM
obtained by the above author has been already presented in Ref. [8]. Some
exposition obscurity with equation (14) of the commented paper is elucidated.
Finally, some more specific remarks on the paper content are given.


title: The half-twist for U_q(g) representations

abstract:
  We introduce the notion of a half-ribbon Hopf algebra, which is a ribbon Hopf
algebra along with a distinguished element $t$ corresponding to twisting a
ribbon by 180 degrees (the half-twist). We show that U_q(g) is a (topological)
half-ribbon Hopf algebra, but only if one uses a modified ribbon element. We
then discuss some consequences of using this modified ribbon element.


title:
Topological susceptibility in (2+1)-flavor lattice QCD with overlap
  fermion

abstract:
  We determine the topological susceptibility \chi_t in the
topologically-trivial sector generated by lattice simulations of N_f = 2+1 QCD
with overlap Dirac fermion, on a 16^3 x 48 lattice with lattice spacing ~ 0.11
fm, for five sea quark masses m_q ranging from m_s/6 to m_s (where m_s is the
physical strange quark mass). The \chi_t is extracted from the plateau (at
large time separation) of the 2-point and 4-point time-correlation functions of
the flavor-singlet pseudoscalar meson \eta', which arises from the finite size
effect due to fixed topology. In the small m_q regime, our result of \chi_t
agrees with the chiral effective theory. Using the formula \chi_t =
\Sigma(m_u^{-1} + m_d^{-1} + m_s^{-1})^{-1} by Leutwyler-Smilga, we obtain the
chiral condensate \Sigma^{MSbar}(2 GeV) = [249(4)(2) MeV]^3.


title:
Using global invariant manifolds to understand metastability in Burgers
  equation with small viscosity

abstract:
  The large-time behavior of solutions to Burgers equation with small viscosity
is described using invariant manifolds. In particular, a geometric explanation
is provided for a phenomenon known as metastability, which in the present
context means that solutions spend a very long time near the family of
solutions known as diffusive N-waves before finally converging to a stable
self-similar diffusion wave. More precisely, it is shown that in terms of
similarity, or scaling, variables in an algebraically weighted $L^2$ space, the
self-similar diffusion waves correspond to a one-dimensional global center
manifold of stationary solutions. Through each of these fixed points there
exists a one-dimensional, global, attractive, invariant manifold corresponding
to the diffusive N-waves. Thus, metastability corresponds to a fast transient
in which solutions approach this "metastable" manifold of diffusive N-waves,
followed by a slow decay along this manifold, and, finally, convergence to the
self-similar diffusion wave.


title: Why do cosmological perturbations look classical to us?

abstract:
  According to the inflationary scenario of cosmology, all structure in the
Universe can be traced back to primordial fluctuations during an accelerated
(inflationary) phase of the very early Universe. A conceptual problem arises
due to the fact that the primordial fluctuations are quantum, while the
standard scenario of structure formation deals with classical fluctuations. In
this essay we present a concise summary of the physics describing the
quantum-to-classical transition. We first discuss the observational
indistinguishability between classical and quantum correlation functions in the
closed system approach (pragmatic view). We then present the open system
approach with environment-induced decoherence. We finally discuss the question
of the fluctuations' entropy for which, in principle, the concrete mechanism
leading to decoherence possesses observational relevance.


title:
A half-twist type formula for the R-matrix of a symmetrizable Kac-Moody
  algebra

abstract:
  Kirillov-Reshetikhin and Levendorskii-Soibelman developed a formula for the
universal R-matrix of the form R=(X^{-1} \otimes X^{-1}) \Delta(X). The action
of X on a representation V permutes weight spaces according to the longest
element in the Weyl group, so is only defined in finite type. We give a similar
formula which is valid for the quantized universal enveloping algebra of any
symmetrizable Kac-Moody algebra. This is done by replacing the action of X on V
with an endomorphism that preserves weight spaces, but which is bar-linear
instead of linear.


title:
Real Time Electron Tunneling and Pulse Spectroscopy in Carbon Nanotube
  Quantum Dots

abstract:
  We investigate a Quantum Dot (QD) in a Carbon Nanotube (CNT) in the regime
where the QD is nearly isolated from the leads. An aluminum single electron
transistor (SET) serves as a charge detector for the QD. We precisely measure
and tune the tunnel rates into the QD in the range between 1 kHz and 1 Hz,
using both pulse spectroscopy and real - time charge detection and measure the
excitation spectrum of the isolated QD.


title: Lattice disorder and Ferromagnetism in La0.67Ca0.33MnO3 nanoparticle

abstract:
  We study the ferromagnetism of La0.67Ca0.33MnO3 in bulk polycrystalline,
nanocrystalline and amorphous phase. The structural change from crystalline
phase to amorphous phase exhibited a systematic decrease of TC(paramagnetic to
ferromagnetic transition temperature) and spontaneous magnetization (MS). The
experimental results suggested few more features, e.g., appearance of large
magnetic irreversibility in the temperature dependence of magnetization, lack
of magnetic saturation at high magnetic field, blocking of magnetization below
TB, and enhancement of coercivity. In addition, the magnetic phase transition
near to TC has changed from first order character in bulk sample to second
order character in nanocrystalline and amorphous samples. We understand the
observed magnetic features as the effects of decreasing particle size and
increasing magnetic (spin- lattice) disorder. We noted that magnetic dynamics
of amorphous samples is distinctly different from the nanocrystalline samples.
The ferromagnetism of amorphous samples are comparable with the properties of
reported amorphous ferromagnetic nanoparticles. We also demonstrate the effect
of disorder shell in controlling the dynamics of ferromagnetic cores.


title: Bundles on non-proper schemes: representability

abstract:
  Let X be a proper scheme over a field k which satisfies Serre's condition S2
and G a reductive group over k. We prove that the functor of principal
G-bundles defined away from a non-fixed closed subset in X of codimension at
least 3, is an algebraic stack in the sense of Artin.


title: On the pre-image of a point under an isogeny

abstract:
  Given a rational point on a curve in a rational isogeny class, a natural
question concerns the field of definition of its pre-images. The multiplication
by m endomorphism is a powerful and much-used tool. The pre-images for this map
are found by factorizing a monic polynomial of degree m^2. For m = 2, Everest
and King gave examples where the existence of a quadratic factor coincided with
the existence of a rational pre-image via a 2-isogeny. Nelson Stephens asked if
this always happens and the question is answered in the affirmative. It is also
shown that the analogue for m = 3 can only be false when there exists a
rational point of order three and a small number of counterexamples are found.
The results are proven over any field with characteristic not two or three.


title: A Ring Isomorphism and corresponding Pseudoinverses

abstract:
  This paper studies the set of $n\times n$ matrices for which all row and
column sums equal zero. By representing these matrices in a lower dimensional
space, it is shown that this set is closed under addition and multiplication,
and furthermore is isomorphic to the set of arbitrary $(n-1)\times (n-1)$
matrices. The Moore-Penrose pseudoinverse corresponds with the true inverse,
(when it exists), in this lower dimension and an explicit representation of
this pseudoinverse in terms of the lower dimensional space is given. This
analysis is then extended to non-square matrices with all row or all column
sums equal to zero.


title:
Gamma ray emission from SNR RX J1713.7-3946 and the origin of galactic
  cosmic rays

abstract:
  We calculate the flux of non-thermal radiations from the supernova remnant RX
J1713.7-3946 in the context of the non-linear theory of particle acceleration
at shocks, which allows us to take into account self-consistently the dynamical
reaction of the accelerated particles, the generation of magnetic fields in the
shock proximity and the dynamical reaction of the magnetic field on the plasma.
When the fraction of particles which get accelerated is of order $\sim
10^{-4}$, we find that the strength of the magnetic field obtained as a result
of streaming instability induced by cosmic rays is compatible with the
interpretation of the X-ray emitting filaments being produced by strong
synchrotron losses in $\sim 100 \mu G$ magnetic fields. If the X-ray filaments
are explained in alternative ways, the constraint on the magnetic field
downstream of the shock disappears and the HESS data can be marginally fit with
ICS of relativistic electrons off a complex population of photons, tailored to
comprise CMB and ambient IR/Optical photons. The fit, typically poor at the
highest energies, requires a large density of target photons within the
remnant; only a fraction of order $\sim 10^{-6}$ of the background particles
gets accelerated; the local magnetic field is of order $\sim 20\mu G$ and the
maximum energy of protons is much lower than the knee energy. Current HESS
gamma ray observations combined with recent X-ray observations by Suzaku do not
allow as yet to draw a definitive conclusion on whether RX J1713.7-3946 is an
efficient cosmic ray accelerator, although at the present time a hadronic
interpretation of HESS data seems more likely. We discuss the implications of
our results for the GLAST gamma ray telescope, which should be able to
discriminate the two scenarios discussed above.


title:
Modeling the creative process of the mind by prime numbers and a simple
  proof of the Riemann Hypothesis

abstract:
  Numbers (positive integers) are the most fundamental creatures of the human
mind and the foundation to the scientific understanding of nature. Some
mathematicians have suspected a link between prime numbers and secrets of
creation. Understanding creativity may help resolve the deepest mysteries of
primes. The algorithm that programs the mind and makes the mind creative must
be sufficient for the mind to create primes. I found that primes are directly
linked to the creation algorithm of the mind. The essence of primes is the
duality of uniqueness and uniformity together with the creation algorithm of
the mind. The creative process of the mind is lawfully determined but the
outcome is unpredictable. The mathematical equivalent or model of this process
is the creation of primes. Primes have the inherent property of
unpredictability but can be generated by the creation algorithm of the mind,
termed the Prime Law, via a fully deterministic lawful process. This new
understanding of the essence of primes can deduce some of the best-known
properties of primes, including the Riemann Hypothesis (RH). Understanding
human creativity is obviously the most fundamental of all scientific enquiries.
That this understanding can directly lead to a solution to the RH, widely
considered the most important unsolved problem in mathematics, shows a deep
connection between creativity and mathematics.


title: C*-Algebras over Topological Spaces: Filtrated K-Theory

abstract:
  We define the filtrated K-theory of a C*-algebra over a finite topological
space X and explain how to construct a spectral sequence that computes the
bivariant Kasparov theory over X in terms of filtrated K-theory. For finite
spaces with totally ordered lattice of open subsets, this spectral sequence
becomes an exact sequence as in the Universal Coefficient Theorem, with the
same consequences for classification. We also exhibit an example where
filtrated K-theory is not yet a complete invariant. We describe a space with
four points and two C*-algebras over this space in the bootstrap class that
have isomorphic filtrated K-theory but are not KK(X)-equivalent. For this
particular space, we enrich filtrated K-theory by another K-theory functor, so
that there is again a Universal Coefficient Theorem. Thus the enriched
filtrated K-theory is a complete invariant for purely infinite, stable
C*-algebras with this particular spectrum and belonging to the appropriate
bootstrap class.


title: Concentration inequalities for Markov processes via coupling

abstract:
  We obtain moment and Gaussian bounds for general Lipschitz functions
evaluated along the sample path of a Markov chain. We treat Markov chains on
general (possibly unbounded) state spaces via a coupling method. If the first
moment of the coupling time exists, then we obtain a variance inequality. If a
moment of order 1+epsilon of the coupling time exists, then depending on the
behavior of the stationary distribution, we obtain higher moment bounds. This
immediately implies polynomial concentration inequalities. In the case that a
moment of order 1+epsilon is finite uniformly in the starting point of the
coupling, we obtain a Gaussian bound. We illustrate the general results with
house of cards processes, in which both uniform and non-uniform behavior of
moments of the coupling time can occur.


title: Lipschitz behavior of the robust regularization

abstract:
  To minimize or upper-bound the value of a function "robustly", we might
instead minimize or upper-bound the "epsilon-robust regularization", defined as
the map from a point to the maximum value of the function within an
epsilon-radius. This regularization may be easy to compute: convex quadratics
lead to semidefinite-representable regularizations, for example, and the
spectral radius of a matrix leads to pseudospectral computations. For favorable
classes of functions, we show that the robust regularization is Lipschitz
around any given point, for all small epsilon > 0, even if the original
function is nonlipschitz (like the spectral radius). One such favorable class
consists of the semi-algebraic functions. Such functions have graphs that are
finite unions of sets defined by finitely-many polynomial inequalities, and are
commonly encountered in applications.


title: Binarity at the L/T brown dwarf transition

abstract:
  Current atmospheric models cannot reproduce some of the characteristics of
the transition between the L dwarfs with cloudy atmospheres and the T dwarfs
with dust-depleted photospheres. It has been proposed that a majority of the
L/T transition brown dwarfs could actually be a combinaison of a cloudy L dwarf
and a clear T dwarf. Indeed binarity seems to occur more frequently among L/T
transition brown dwarfs.
  We aim to refine the statistical significance of the seemingly higher
frequency of binaries. Co-eval binaries would also be interesting test-beds for
evolutionary models. We obtained high-resolution imaging for six mid-L to
late-T dwarfs, with photometric distances between 8 and 33pc, using the
adaptive optics systems NACO at the VLT, and the Lick system, both with the
laser guide star.
  We resolve none of our targets. Combining our data with published results, we
obtain a frequency of resolved L/T transition brown dwarfs of (31+21-15)%,
compared to (21+10-7)% and (14+14-7)% for mid-L and T dwarfs (90% of confidence
level). These fractions do not significantly support, nor contradict, the
hypothesis of a larger binary fraction in the L/T transition. None of our
targets has companions with effective temperatures as low as 360-1000K at
separations larger than 0.5".


title: On the large spin limit of twist operators in N=4 SYM

abstract:
  The long range Bethe Ansatz solution of the mixing problem in N=4 SYM allows
to compute in a very efficient way multiloop anomalous dimensions of various
composite operators. In the case of sl(2) twist operators it is important to
obtain closed expressions for the anomalous dimensions in terms of the Lorentz
spin. Conjectures are available altough analytical proofs are missing beyond
one-loop. In this paper, we will present a method to expand at large spin the
solution of the long range Baxter equation in twist 2 and 3. We will also
propose sum rules for special singlet states at higher twist.


title: QCD-like properties for anomalous dimensions in N=4 SYM

abstract:
  In this contribution it is shown how closed formulas for anomalous dimensions
of two classes of operators in N=4 SYM can be derived, either by investigating
the numerics or on the basis of QCD-inspired assumptions. We discuss the case
of twist three "gauge" operators in which a complete proof of reciprocity can
be carried out.


title: Distributions that are both log-symmetric and R-symmetric

abstract:
  Two concepts of symmetry for the distributions of positive random variables
$Y$ are log-symmetry (symmetry of the distribution of $\log Y$) and R-symmetry
[7]. In this paper, we characterise the distributions that have both
properties, which we call doubly symmetric. It turns out that doubly symmetric
distributions constitute a subset of those distributions that are
moment-equivalent to the lognormal distribution. They include the lognormal,
some members of the Berg/Askey class of distributions, and a number of others
for which we give an explicit construction (based on work of A.J. Pakes) and
note some properties; Stieltjes classes, however, are not doubly symmetric.


title:
Hydrodynamic limit of zero range processes among random conductances on
  the supercritical percolation cluster

abstract:
  We consider i.i.d. random variables {\omega (b):b \in E_d} parameterized by
the family of bonds in Z^d, d>1. The random variable \omega(b) is thought of as
the conductance of bond b and it ranges in a finite interval [0,c_0]. Assuming
the probability m of the event {\omega(b)>0} to be supercritical and denoting
by C(\omega) the unique infinite cluster associated to the bonds with positive
conductance, we study the zero range process on C(\omega) with
\omega(b)-proportional probability rate of jumps along bond b. For almost all
realizations of the environment we prove that the hydrodynamic behavior of the
zero range process is governed by the nonlinear heat equation $\partial_t \rho=
m \nabla \cdot (D \nabla\phi(\rho/m))$, where the matrix D and the function
\phi are \omega--independent. We do not require any ellipticity condition.


title:
The gravitational wave background from super-inflation in Loop Quantum
  Cosmology

abstract:
  We investigate the behaviour of tensor fluctuations in Loop Quantum
Cosmology, focusing on a class of scaling solutions which admit a near
scale-invariant scalar field power spectrum. We obtain the spectral index of
the gravitational field perturbations, and find a strong blue tilt in the power
spectrum with $n_t \approx 2$. The amplitude of tensor modes are, therefore,
suppressed by many orders of magnitude on large scales compared to those
predicted by the standard inflationary scenario where $n_t \approx 0$.


title: Degenerating curves and surfaces: first results

abstract:
  Let $\mathcal S\to\mathbb A^1$ be a smooth family of surfaces whose general
fibre is a smooth surface of $\mathbb P^3$ and whose special fibre has two
smooth components, intersecting transversally along a smooth curve $R$. We
consider the Universal Severi-Enriques variety $\mathcal V$ on $\mathcal
S\to\mathbb A^1$. The general fibre of $\mathcal V$ is the variety of curves on
$\mathcal S_t$ in the linear system $|\mathcal O_{\mathcal S_t}(n)|$ with $k$
cusps and $\delta$ nodes as singularities. Our problem is to find all
irreducible components of the special fibre of $\mathcal V$. In this paper, we
consider only the cases $(k,\delta)=(0,1)$ and $(k,\delta)=(1,0)$. In
particular, we determine all singular curves on the special fibre of $\mathcal
S$ which, counted with the right multiplicity, are a limit of 1-cuspidal curves
on the general fibre of $\mathcal S$.


title: Modular differential equations for torus one-point functions

abstract:
  It is shown that in a rational conformal field theory every torus one-point
function of a given highest weight state satisfies a modular differential
equation. We derive and solve these differential equations explicitly for some
Virasoro minimal models. In general, however, the resulting amplitudes do not
seem to be expressible in terms of standard transcendental functions.


title:
Tuning of tunneling current noise spectra singularities by localized
  states charging

abstract:
  We report the results of theoretical investigations of tunneling current
noise spectra in a wide range of applied bias voltage. Localized states of
individual impurity atoms play an important role in tunneling current noise
formation. It was found that switching "on" and "off" of Coulomb interaction of
conduction electrons with two charged localized states results in power law
singularity of low-frequency tunneling current noise spectrum ($1/f^{\alpha}$)
and also results on high frequency component of tunneling current spectra
(singular peaks appear).


title:
A Global Energetic Model for Microquasars (GEMM): A rich and consistent
  disk+jet solution

abstract:
  Based on a dynamical model describing how stationary, powerful and
self-collimated jets are being launched from a magnetized disk, we build a
consistent disk+jet microquasar picture. Our disk is a new type of disk
solution called the Jet Emitting Disk (JED), and whose characteristics are
directly constrained by the presence of a jet. We assume a one-temperature
plasma with thermal particles only. By solving the radiative equilibrium of the
disk, we obtain three branches of solutions, a hot and a cold ones (both
thermally stable), and an intermediate one, thermally unstable. The hot
solution possess the global observed characteristics of what has been often
called a "corona" located above the inner disk region. We present this new disk
solution, and how the radiative equilibrium is computed. We discuss the
richness of the solution, and show the ability of the model to reproduce an
observed spectral energy distribution of XTE J1118+480 with reasonable
parameters. We finally outline some perspectives of the model.


title: Proximity-induced superconductivity in graphene

abstract:
  We propose a way of making graphene superconductive by putting on it small
superconductive islands which cover a tiny fraction of graphene area. We show
that the critical temperature, T_c, can reach several Kelvins at the
experimentally accessible range of parameters. At low temperatures, T<<T_c, and
zero magnetic field, the density of states is characterized by a small gap
E_g<T_c resulting from the collective proximity effect. Transverse magnetic
field H_g(T) E_g is expected to destroy the spectral gap driving graphene layer
to a kind of a superconductive glass state. Melting of the glass state into a
metal occurs at a higher field H_{g2}(T).


title: Field induced spin ice like orders in spin liquid Tb$_2$Ti$_2$O$_7$

abstract:
  We have studied the field induced magnetic structures in the spin liquid
Tb$_2$Ti$_2$O$_7$, in a wide temperature (0.3$<$$T$$<$270 K) and field
(0$<$$H$$<$7 T) range, by single crystal neutron diffraction with $\bf{H}$ //
[110] axis. We combined unpolarized neutron data with polarized ones, analyzed
within the local susceptibility model. A ferromagnetic-like structure with
$\bf{k}$ = 0 propagation vector is induced, whose local order at low field and
low temperature is akin to spin ice. The four Tb ions separate in $\alpha$ and
$\beta$ chains having different values of the magnetic moments, which is
quantitatively explained by taking the crystal field anisotropy into account.
Above 2 T and below 2 K, an antiferromagnetic-like structure with $\bf{k}$ =
(0,0,1) is induced besides the $\bf{k}$ = 0 structure. It shows a reentrant
behavior and extends over a finite length scale. It occurs together with a
broadening of the nuclear peaks, which suggests a field induced distortion and
magnetostriction effect.


title: Principal noncommutative torus bundles

abstract:
  In this paper we study continuous bundles of C*-algebras which are
non-commutative analogues of principal torus bundles. We show that all such
bundles, although in general being very far away from being locally trivial
bundles, are at least locally trivial with respect to a suitable bundle version
of bivariant K-theory (denoted RKK-theory) due to Kasparov. Using earlier
results of Echterhoff and Williams, we shall give a complete classification of
principal non-commutative torus bundles up to equivariant Morita equivalence.
We then study these bundles as topological fibrations (forgetting the group
action) and give necessary and sufficient conditions for any non-commutative
principal torus bundle being RKK-equivalent to a commutative one. As an
application of our methods we shall also give a K-theoretic characterization of
those principal torus-bundles with H-flux, as studied by Mathai and Rosenberg
which possess "classical" T-duals.


title: Leading Baryons and sigma-total(gamma-p) at HERA

abstract:
  Leading baryon measurements from the H1 and ZEUS collaborations are reported
and compared to production models. A new study of the energy dependence of the
photon-proton total cross section is also reported.


title: Geometric Scaling at RHIC and LHC

abstract:
  We demonstrate that the RHIC data for hadron production in d-Au collisions
for all available rapidities are compatible with geometric scaling. In order to
establish the presence of scaling violations expected from small-x evolution a
much larger range in transverse momentum and rapidity needs to be probed. We
show that the fall-off of the transverse momentum distribution of produced
hadrons at LHC is a sensitive probe of small-x evolution.


title: Lie antialgebras: cohomology and representations

abstract:
  We describe the main algebraic and geometric properties of the class of
algebras introduced in [arXiv:0705.1629]. We discuss their origins in
symplectic geometry and associative algebra, and the notions of cohomology and
representations. We formulate classification theorems and give a number of
examples.


title: On doubling inequalities for elliptic systems

abstract:
  We prove doubling inequalities for solutions of elliptic systems with an
iterated Laplacian as diagonal principal part and for solutions of the Lame'
system of isotropic linearized elasticity. These inequalities depend on global
properties of the solutions.


title: Excitation of trapped oscillations in discs around black holes

abstract:
  High-frequency quasi-periodic oscillations detected in the light curves of
black hole candidates can, according to one model, be identified with
hydrodynamic oscillations of the accretion disc. We describe a non-linear
coupling mechanism, suggested by Kato, through which inertial waves trapped in
the inner regions of accretion discs around black holes are excited. Global
warping and/or eccentricity of the disc have a fundamental role in this
coupling: they combine with trapped modes, generating negative energy waves,
that are damped as they approach the inner edge of the disc or their corotation
resonance. As a result of this damping, inertial oscillations are amplified. We
calculate the resulting eigenfunctions and their growth rates.


title: Compactification de varietes de Siegel aux places de mauvaise reduction

abstract:
  We construct arithmetic toroidal compactifications of the moduli stack of
principally polarized abelian varieties with parahoric level structure. To this
end, we extend the methods of Faltings and Chai to a case of bad reduction.
  -----
  Nous construisons des compactifications toroidales arithm\'etiques du champ
de modules des vari\'et\'es ab\'eliennes principalement polaris\'ees munies
d'une structure de niveau parahorique. Pour ce faire, nous \'etendons la
m\'ethode de Faltings et Chai \`a un cas de mauvaise r\'eduction.


title: Fibrations with noncommutative fibers

abstract:
  We study an analogue of fibrations of topological spaces with the homotopy
lifting property in the setting of C*-algebra bundles. We then derive an
analogue of the Leray-Serre spectral sequence to compute the K-theory of the
fibration in terms of the cohomology of the base and the K-theory of the
fibres. We present many examples which show that fibrations with noncommutative
fibres appear in abundance in nature.


title: Warped and eccentric discs around black holes

abstract:
  Accretion discs around black holes in X-ray binary stars are warped if the
spin axis of the black hole is not perpendicular to the binary orbital plane.
They can also become eccentric through an instability involving a resonance
with the binary orbit. Depending on the thickness of the disc and the
efficiency of dissipative processes, these global deformations may be able to
propagate into the innermost part of the disc in the form of stationary bending
or density waves. We describe the solutions in the linear regime and discuss
the conditions under which a warp or eccentricity is likely to produce
significant activity in the inner region, which may include the excitation of
quasi-periodic oscillations.


title: The thermodynamics and roughening of solid-solid interfaces

abstract:
  The dynamics of sharp interfaces separating two non-hydrostatically stressed
solids is analyzed using the idea that the rate of mass transport across the
interface is proportional to the thermodynamic potential difference across the
interface. The solids are allowed to exchange mass by transforming one solid
into the other, thermodynamic relations for the transformation of a mass
element are derived and a linear stability analysis of the interface is carried
out. The stability is shown to depend on the order of the phase transition
occurring at the interface. Numerical simulations are performed in the
non-linear regime to investigate the evolution and roughening of the interface.
It is shown that even small contrasts in the referential densities of the
solids may lead to the formation of finger like structures aligned with the
principal direction of the far field stress.


title: Modelling tri-bimaximal neutrino mixing

abstract:
  We model tri-bimaximal lepton mixing from first principles in a way that
avoids the problem of the vacuum alignment characteristic of such models. This
is achieved by using a softly broken A4 symmetry realized with an isotriplet
fermion, also triplet under A4. No scalar A4-triplet is introduced. This
represents one possible realization of general schemes characterized by the
minimal set of either three or five physical parameters. In the three parameter
versions mee vanishes, while in the five parameter schemes the absolute scale
of neutrino mass, although not predicted, is related to the two Majorana
phases. The model realization we discuss is potentially testable at the LHC
through the peculiar leptonic decay patterns of the fermionic and scalar
triplets.


title: On the energy of bound states for magnetic Schr\"odinger operators

abstract:
  We provide a leading order semiclassical asymptotics of the energy of bound
states for magnetic Neumann Schr\"odinger operators in two dimensional
(exterior) domains with smooth boundaries. The asymptotics is valid all the way
up to the bottom of the essential spectrum. When the spectral parameter is
varied near the value where bound states become allowed in the interior of the
domain, we show that the energy has a boundary and a bulk component. The
estimates rely on coherent states, in particular on the construction of
`boundary coherent states', and magnetic Lieb-Thirring estimates.


title: Anomalous behavior of the Debye temperature in Fe-rich Fe-Cr alloys

abstract:
  Debye temperature, $\Theta_D$, of Fe-rich Fe$_{100-x}$Cr$_x$ disordered
alloys with $0\le x \le 22.3$ was determined from the temperature dependence of
the central shift of M\"ossbauer spectra recorded in the temperature range of
60 -- 300 K. Its compositional dependence shows a maximum at $x \approx 5$ with
a relative increase of $\sim 30$% compared to a pure iron. The composition at
which the effect occurs correlates well with that at which several other
quantities, e. g. the Curie temperature and the spin-wave stiffness
coefficient, $D_0$, show their maxima, but the enhancement of $\Theta_D$ is
significantly greater and comparable with the enhancement of the hyperfine
field (spin-density of itinerant $s$-like electrons) in the studied system. The
results suggest that the electron-phonon interaction is important in this alloy
system.


title:
Extinction of coherent backscattering by a disordered photonic crystal
  with a Dirac spectrum

abstract:
  Photonic crystals with a two-dimensional triangular lattice have a conical
singularity in the spectrum. Close to this so-called Dirac point, Maxwell's
equations reduce to the Dirac equation for an ultrarelativistic spin-1/2
particle. Here we show that the half-integer spin and the associated Berry
phase remain observable in the presence of disorder in the crystal. While
constructive interference of a scalar (spin-zero) wave produces a coherent
backscattering peak, consisting of a doubling of the disorder-averaged
reflected photon flux, the destructive interference caused by the Berry phase
suppresses the reflected intensity at an angle which is related to the angle of
incidence by time-reversal symmetry. We demonstrate this extinction of coherent
backscattering by a numerical solution of Maxwell's equations and compare with
analytical predictions from the Dirac equation.


title:
Carbon Dioxide Production Responsibility on the Basis of comparing in
  Situ and mean CO2 Atmosphere Concentration Data

abstract:
  The method is proposed for estimation of regional CO2 and other greenhouses
and pollutants production responcibility. The comparison of CO2 local emissions
reduction data with world CO2 atmosphere data will permit easy to judge for
overall effect in curbing not only global warming but also chemical polution.


title:
Finite size effect of harmonic measure estimation in a DLA model:
  Variable size of probe particles

abstract:
  A finite size effect in the probing of the harmonic measure in simulation of
diffusion-limited aggregation (DLA) growth is investigated. We introduce a
variable size of probe particles, to estimate harmonic measure and extract the
fractal dimension of DLA clusters taking two limits, of vanishingly small probe
particle size and of infinitely large size of a DLA cluster. We generate 1000
DLA clusters consisting of 50 million particles each, using an off-lattice
killing-free algorithm developed in the early work. The introduced method leads
to unprecedented accuracy in the estimation of the fractal dimension. We
discuss the variation of the probability distribution function with the size of
probing particles.


title:
Higher neutrino mass allowed if Cold Dark Matter and Dark Energy are
  coupled

abstract:
  Cosmological limits on neutrino masses are softened, by more than a factor 2,
if Cold Dark Matter (CDM) and Dark Energy (DE) are coupled. In turn, a neutrino
mass yielding $\Omega_\nu$ up to $\sim0.20$ allows coupling levels $\beta
\simeq 0.15, $ or more, already easing the coincidence problem. The coupling,
in fact, displaces both $P(k)$ and $C_l$ spectra in a fashion opposite to
neutrino mass. Estimates are obtained through a Fisher--matrix technique.


title: On the possibility of tunable-gap bilayer graphene FET

abstract:
  We explore the device potential of tunable-gap bilayer graphene FET
exploiting the possibility of opening a bandgap in bilayer graphene by applying
a vertical electric field via independent gate operation. We evaluate device
behavior using atomistic simulations based on the self-consistent solution of
the Poisson and Schroedinger equations within the NEGF formalism. We show that
the concept works, but bandgap opening is not strong enough to suppress
band-to-band tunneling in order to obtain a sufficiently large Ion/Ioff ratio
for CMOS device operation.


title: Varieties swept out by grassmannians of lines

abstract:
  We classify complex projective varieties of dimension $2r \geq 8$ swept out
by a family of codimension two grassmannians of lines $\mathbb{G}(1,r)$. They
are either fibrations onto normal surfaces such that the general fibers are
isomorphic to $\G(1,r)$ or the grassmannian $\mathbb{G}(1,r+1)$. The cases
$r=2$ and $r=3$ are also considered in the more general context of varieties
swept out by codimension two linear spaces or quadrics.


title: Dynamical stability of strange quark stars

abstract:
  We show that the mass-radius
  $(M-R)$ relation corresponding to the MIT bag models of strange quark matter
(SQM) and the models obtained by Day et al (1998) do not provide the necessary
and sufficient condition for dynamical stability for the equilibrium
configurations, since such configurations can not even fulfill the necessary
condition of hydrostatic equilibrium provided by the exterior Schwarzschild
solution. These findings will remain unaltered and can be extended to any other
sequence of pure SQM. This study explicitly show that although the strange
quark matter might exist in the state of zero pressure and temperature, but the
models of pure strange quark `stars' can not exist in the state of hydrostatic
equilibrium on the basis of General Relativity Theory. This study can affect
the results which are claiming that various objects like - RX J1856.5-3754, SAX
J1808.4-3658, 4U 1728-34, PSR 0943+10 etc. might be strange stars.


title: $B\to K\eta,K\eta^{\prime}$ Decays

abstract:
  The nonet symmetry scheme seems to describe rather well the masses and
$\eta-\eta^{\prime}$ mixing angle of the ground state pseudo-scalar mesons and
is thus expected to be also a good approximation for the matrix elements of the
pseudo-scalar density operators which play an important role in charmless
two-body B decays with $\eta$ or $\eta^{\prime}$ in the final state. In this
talk, I would like to report on a recent work on the $B^{-}\to K^{-}\eta,
K^{-}\eta^{\prime}$ decay using nonet symmetry for the matrix elements of
pseudo-scalar density operators. We find that the branching ratio $B\to PP$,
with an $\eta$ meson in the final state agrees well with data, while those with
an $\eta^{\prime}$ meson are underestimated by $20-30%$. This could be
considered as a more or less successful prediction for QCDF, considering the
theoretical uncertainties involved. This could also indicate that an additional
power-suppressed terms could bring the branching ratio close to experiment, as
with the $B\to K^{*}\pi$ and $B\to K^{*}\eta$ decay for which the measured
branching ratios are much bigger than the QCDF predictions.


title:
Neutron Scattering Facility for Characterization of CRESST and EURECA
  Detectors at mK Temperatures

abstract:
  CRESST (Cryogenic Rare Event Search with Superconducting Thermometers) is an
experiment located at the Gran Sasso underground laboratory and aimed at the
direct detection of dark matter in the form of WIMPs. The setup has just
completed a one year commissioning run in 2007 and is presently starting a
physics run with an increased target mass. Scintillating $\mathrm{CaWO_4}$
single crystals, operated at temperatures of a few millikelvin, are used as
target to detect the tiny nuclear recoil induced by a WIMP. The powerful
background identification and rejection of $\alpha$, e$^{-}$ and $\gamma$
events is realized via the simultaneous measurement of a phonon and a
scintillation signal generated in the $\mathrm{CaWO_4}$ crystal. However,
neutrons could still be misidentified as a WIMP signature. Therefore, a
detailed understanding of the individual recoil behaviour in terms of phonon
generation and scintillation light emission due to scattering on Ca, O or W
nuclei, respectively, is mandatory. The only setup which allows to perform such
measurements at the operating temperature of the CRESST detectors has been
installed at the Maier-Leibnitz-Accelerator Laboratory in Garching and is
presently being commissioned. The design of this neutron scattering facility is
such that it can also be used for other target materials, e.g.
$\mathrm{ZnWO_4}$, $\mathrm{PbWO_4}$ and others as foreseen in the framework of
the future multitarget tonne-scale experiment EURECA (European Underground Rare
Event Calorimeter Array).


title:
Time dependent correlations in a supercooled liquid from nonlinear
  fluctuating hydrodynamics

abstract:
  We solve numerically the equations of nonlinear fluctuating hydrodynamics
(NFH) for the supercooled liquid. The time correlation of the density
fluctuations in equilibrium obtained here shows quantitative agreement with
molecular dynamics(MD) simulation data. We demonstrate numerically that the
1/rho nonlinearity in the NFH equations of motion is essential in restoring the
ergodic behavior in the liquid. Under nonequilibrium conditions the time
correlation functions relax in a manner similar to that observed in the
molecular dynamics simulations in binary mixtures. The waiting time t_w
dependence of the non-equilibrium response function follows a Modified
Kohlrausch-Williams-Watts(MKWW) form similar to the behavior seen in dielectric
relaxation data.


title: Structured jets and VHE emission of blazars and radiogalaxies

abstract:
  Recent observations in the TeV band challenge the simplest models developed
to describe the overall emission of blazars and radiogalaxies. In particular,
the observation of variable TeV emission from M87 and the fast variability
shown by PKS 2155-304 challenge the standard framework. We discuss how the
existence of a radial structure in the sub-pc scale jet, with faster a
component ("spine" or "needles") embedded in a slower layer can explain the
basic phenomenology of these sources.


title:
Occupancy distributions of homogeneous queueing systems under
  opportunistic scheduling

abstract:
  We analyze opportunistic schemes for transmission scheduling from one of $n$
homogeneous queues whose channel states fluctuate independently. Considered
schemes consist of the LCQ policy, which transmits from a longest connected
queue in the entire system, and its low-complexity variants that transmit from
a longest queue within a randomly chosen subset of connected queues. A
Markovian model is studied where mean packet transmission time is $n^{-1}$ and
packet arrival rate is $\lambda<1$ per queue. Transient and equilibrium
distributions of queue occupancies are obtained in the limit as the system size
$n$ tends to infinity.


title:
A High Statistics Study of Flavour-Singlet Mesons with Staggered
  Fermions

abstract:
  We present some early results from a high statistics study of the scalar and
pseudoscalar singlet sectors of lattice QCD using 2+1 flavours of Asqtad
improved staggered fermions. The use of the Asqtad action has allowed us to
generate an unprecedented number of configurations at 2 lattice spacings which
on completion we hope will give us a significantly improved view of both the
scalar and pseudoscalar singlet sectors.


title:
Specific Angular Momentum of Disc Merger Remnants and the
  $\lambda_R$-Parameter

abstract:
  We use two-dimensional kinematic maps of simulated binary disc mergers to
investigate the $\lambda_R$-parameter, which is a luminosity weighted measure
of projected angular momentum per unit mass. This parameter was introduced to
subdivide the SAURON sample of early type galaxies in so called fast $\lambda_R
> 0.1$ and slow rotators $\lambda_R < 0.1$. Tests on merger remnants reveal
that $\lambda_R$ is a robust indicator of the true angular momentum content in
elliptical galaxies. We find the same range of $\lambda_R$ values in our merger
remnants as in the SAURON galaxies. The merger mass ratio is decisive in
creating a slow or a fast rotator in a single binary merger, the former being
created mostly in an equal mass merger. Slow rotators have a $\lambda_R$ which
does not vary with projection. The confusion rate with face-on fast rotators is
very small. Merger with low gas fractions form slow rotators with smaller
ellipticities and are in much better agreement with the SAURON slow rotators.
Remergers of merger remnants are slow rotators but tend to have too high
ellipticities. Fast rotators maintain the angular momentum content from the
progenitor disc galaxy if merger mass ratio is high. Some SAURON galaxies have
values of $\lambda_R$ as high as our progenitor disc galaxies.


title: An evolving hot spot orbiting around Sgr A*

abstract:
  Here we report on recent near-infrared observations of the Sgr A* counterpart
associated with the super-massive ~ 4x10^6 M_sun black hole at the Galactic
Center. We find that the May 2007 flare shows the highest sub-flare contrast
observed until now, as well as evidence for variations in the profile of
consecutive sub-flares. We modeled the flare profile variations according to
the elongation and change of the shape of a spot due to differential rotation
within the accretion disk.


title:
Determining the Unithood of Word Sequences using a Probabilistic
  Approach

abstract:
  Most research related to unithood were conducted as part of a larger effort
for the determination of termhood. Consequently, novelties are rare in this
small sub-field of term extraction. In addition, existing work were mostly
empirically motivated and derived. We propose a new probabilistically-derived
measure, independent of any influences of termhood, that provides dedicated
measures to gather linguistic evidence from parsed text and statistical
evidence from Google search engine for the measurement of unithood. Our
comparative study using 1,825 test cases against an existing
empirically-derived function revealed an improvement in terms of precision,
recall and accuracy.


title: Magnetic Order Beyond RKKY in the Classical Kondo Lattice

abstract:
  We study the Kondo lattice model of band electrons coupled to classical
spins, in three dimensions, using a combination of variational calculation and
Monte Carlo. We use the weak coupling `RKKY' window and the strong coupling
regime as benchmarks, but focus on the physically relevant intermediate
coupling regime. Even for modest electron-spin coupling the phase boundaries
move away from the RKKY results, the non interacting Fermi surface no longer
dictates magnetic order, and weak coupling `spiral' phases give way to
collinear order. We use these results to revisit the classic problem of 4f
magnetism and demonstrate how both electronic structure and coupling effects
beyond RKKY control the magnetism in these materials.


title: Smoothing nodal Calabi-Yau n-folds

abstract:
  Let X be an n-dimensional Calabi-Yau with ordinary double points, where n is
odd. Friedman showed that for n=3 the existence of a smoothing of X implies a
specific type of relation between homology classes on a resolution of X. (The
converse is also true, due to work of Friedman, Kawamata and Tian.)
  We sketch a more topological proof of this result, and then extend it to
higher dimensions. For n>3 the "Yukawa product" on the middle dimensional
(co)homology plays an unexpected role. We also discuss a converse, proving it
for nodal Calabi-Yau hypersurfaces in projective space.


title:
Nonlinear dynamics at the interface of two-layer stratified flows over
  pronounced obstacles

abstract:
  The flow of a two--layer stratified fluid over an abrupt topographic
obstacle, simulating relevant situations in oceanographic problems, is
investigated numerically and experimentally in a simplified two--dimensional
situation. Experimental results and numerical simulations are presented at low
Froude numbers in a two-layer stratified flow and for two abrupt obstacles,
semi--cylindrical and prismatic. We find four different regimes of the flow
immediately past the obstacles: sub-critical (I), internal hydraulic jump (II),
Kelvin-Helmholtz at the interface (III) and shedding of billows (IV). The
critical condition for delimiting the experiments is obtained using the
hydraulic theory. Moreover, the dependence of the critical Froude number on the
geometry of the obstacle are investigated. The transition from regime III to
regime IV is explained with a theoretical stability analysis. The results from
the stability analysis are confirmed with the DPIV measurements. In regime
(IV), when the velocity upstream is large enough, we find that Kelvin-Helmhotz
instability of the jet produces shedding of billows. Important differences with
flows like Von Karman's street are explained. Remarkable agreement between the
experimental results and numerical simulations are obtained.


title: VLBI observations of nearby radio loud Active Galactic Nuclei

abstract:
  We present an update of the parsec scale properties of the Bologna Complete
Sample consisting of 95 radio sources from the B2 Catalog of Radio Sources and
the Third Cambridge Revised Catalog (3CR), with z < 0.1. Thanks to recent new
data we have now parsec scale images for 76 sources of the sample. Most of them
show a one-sided jet structure but we find a higher fraction of two-sided
sources in comparison with previous flux-limited VLBI surveys. A few peculiar
sources are presented and discussed in more detail.


title:
Spectrum of 4d N=1 SYM on the lattice with light dynamical Wilson
  gluinos

abstract:
  We perform Monte Carlo investigations of the 4d ${\cal N}=1$ supersymmetric
Yang-Mills (SYM) theory on the lattice with dynamical gluinos in the adjoint
representation of the SU(2) gauge group. Our aim is to determine the mass
spectrum of the low-lying bound states which is expected to be organised in
supermultiplets in the infinite volume continuum limit. For this purpose we
perform simulations on large lattices, up to an extension $L/r_0 \simeq 6$
where $r_0 \simeq 0.5 \rm fm$ is the Sommer scale parameter. We apply improved
lattice actions: tree-level improved Symanzik (tlSym) gauge action and in the
later runs a Stout-smeared Wilson fermion action. The gauge configuration
samples are prepared by the Two-Step Polynomial Hybrid Monte Carlo (TS-PHMC)
update algorithm.


title: Testing the blazar spectral sequence: X-ray selected blazars

abstract:
  We present simultaneous optical and X-ray data from Swift for a sample of
FSRQs selected from the EMSS survey. We present also a complete analysis of
Swift and INTEGRAL data on 4 blazars recently discussed as possibly challenging
the trends of the "blazar spectral sequence". The SEDs of all these objects are
modelled in terms of a general theoretical scheme leading to an estimate of the
jets' physical parameters. Our results show that, in the case of the EMSS broad
line blazars, X-ray selection does not lead to find sources with synchrotron
peaks in the UV/X-ray range, as was the case for X-ray selected BL Lacs.
Instead, for a wide range of radio powers all the sources with broad emission
lines show similar SEDs, with synchrotron components peaking below the
optical/UV range. Of the remaining 4 "anomalous" blazars, two highly luminous
sources with broad lines, claimed to possibly emit synchrotron X-rays, are
shown to be better described with IC models for their X-ray emission. For one
source with weak emission lines (a BL Lac object) a synchrotron peak in the
soft X-ray range is confirmed, while for the fourth source, exhibiting lines
typical of NLSy1s, no evidence of X-ray emission from a relativistic jet is
found. We reexamine the original "blazar spectral sequence" and suggest that
the photon ambient, in which the particle acceleration and emission occur, is
likely the main factor determining the shape of the blazar SED.


title: Sequential resonant tunneling in quantum cascade lasers

abstract:
  A model of sequential resonant tunneling transport between two-dimensional
subbands that takes into account explicitly elastic scattering is investigated.
It is compared to transport measurements performed on quantum cascade lasers
where resonant tunneling processes are known to be dominating. Excellent
agreement is found between experiment and theory over a large range of current,
temperature and device structures.


title:
Changing the mechanical unfolding pathway of FnIII10 by tuning the
  pulling strength

abstract:
  We investigate the mechanical unfolding of the tenth type III domain from
fibronectin, FnIII10, both at constant force and at constant pulling velocity,
by all-atom Monte Carlo simulations. We observe both apparent two-state
unfolding and several unfolding pathways involving one of three major, mutually
exclusive intermediate states. All the three major intermediates lack two of
seven native beta-strands, and share a quite similar extension. The unfolding
behavior is found to depend strongly on the pulling conditions. In particular,
we observe large variations in the relative frequencies of occurrence for the
intermediates. At low constant force or low constant velocity, all the three
major intermediates occur with a significant frequency. At high constant force
or high constant velocity, one of them, with the N- and C-terminal beta-strands
detached, dominates over the other two. Using the extended Jarzynski equality,
we also estimate the equilibrium free-energy landscape, calculated as a
function of chain extension. The application of a constant pulling force leads
to a free-energy profile with three major local minima. Two of these correspond
to the native and fully unfolded states, respectively, whereas the third one
can be associated with the major unfolding intermediates.


title: Quantum search by parallel eigenvalue adiabatic passage

abstract:
  We propose a strategy to achieve the Grover search algorithm by adiabatic
passage in a very efficient way. An adiabatic process can be characterized by
the instantaneous eigenvalues of the pertaining Hamiltonian, some of which form
a gap. The key to the efficiency is based on the use of parallel eigenvalues.
This allows us to obtain non-adiabatic losses which are exponentially small,
independently of the number of items in the database in which the search is
performed.


title:
Bounds on the volume entropy and simplicial volume in Ricci curvature
  $L^p$ bounded from below

abstract:
  Let $(M,g)$ be a compact manifold with Ricci curvature almost bounded from
below and $\pi:\bar{M}\to M$ be a normal, Riemannian cover. We show that, for
any nonnegative function $f$ on $M$, the means of $f\o\pi$ on the geodesic
balls of $\bar{M}$ are comparable to the mean of $f$ on $M$. Combined with
logarithmic volume estimates, this implies bounds on several topological
invariants (volume entropy, simplicial volume, first Betti number and
presentations of the fundamental group) in Ricci curvature $L^p$-bounded from
below.


title: Coronal properties of the EQ Peg binary system

abstract:
  The activity indicators of M dwarfs are distinctly different for early and
late types. The coronae of early M dwarfs display high X-ray luminosities and
temperatures, a pronounced inverse FIP effect, and frequent flaring to the
extent that no quiescent level can be defined in many cases. For late M dwarfs,
fewer but more violent flares have been observed, and the quiescent X-ray
luminosity is much lower. To probe the relationship between coronal properties
with spectral type of active M dwarfs, we analyze the M3.5 and M4.5 components
of the EQ Peg binary system in comparison with other active M dwarfs of
spectral types M0.5 to M5.5. We investigate the timing behavior of both
components of the EQ Peg system, reconstruct their differential emission
measure, and investigate the coronal abundance ratios based on emission-measure
independent line ratios from their Chandra HETGS spectra. Finally we test for
density variations in different states of activity. The X-ray luminosity of EQ
Peg A (M3.5) is by a factor of 6-10 brighter than that of EQ Peg B (M4.5). Like
most other active M dwarfs, the EQ Peg system shows an inverse FIP effect. The
abundances of both components are consistent within the errors; however, there
seems to be a tendency toward the inverse FIP effect being less pronounced in
the less active EQ Peg B when comparing the quiescent state of the two stars.
This trend is supported by our comparison with other M dwarfs. As the X-ray
luminosity decreases with later spectral type, so do coronal temperatures and
flare rate. The amplitude of the observed abundance anomalies, i.e. the inverse
FIP effect, declines; however, clear deviations from solar abundances remain.


title: Infinitesimal Variations of Hodge Structure at Infinity

abstract:
  By analyzing the local and infinitesimal behavior of degenerating polarized
variations of Hodge structure the notion of infinitesimal variation of Hodge
structure at infinity is introduced. It is shown that all such structures can
be integrated to polarized variations of Hodge structure and that, conversely,
all are limits of infinitesimal variations of Hodge structure (IVHS) at finite
points. As an illustration of the rich information encoded in this new
structure, some instances of the maximal dimension problem for this type of
infinitesimal variation are presented and contrasted with the "classical" case
of IVHS at finite points.


title:
The origin of $^{60}$Fe and other short-lived radionuclides in the early
  solar system

abstract:
  Establishing the origin of short-lived radionuclides (SLRs) with half-lives
$\leq$ 100 Myr has important implications for the astrophysical context of our
Sun's birth place. We review here the different origins proposed for the
variety of SLRs present in the solar accretion disk 4.57 Ga ago. Special
emphasis is given to an enhanced Galactic background origin for $^{60}$Fe which
was inherited from several supernovae belonging to previous episodes of star
formation, rather than from a nearby, contemporaneous supernova.


title:
Expanding Space: The Root of Conceptual Problems of the Cosmological
  Physics

abstract:
  The space expansion physics contains several paradoxes which were clearly
demonstrated by Edward Harrison (1981, 1995, 2000), who emphasized that the
cooling of homogeneous hot gas (including photon gas of CBR) in the standard
cosmological model based on the violation of energy conservation by the
expanding space. In modern version of SCM the term "space expansion" actually
means continuous creation of vacuum, something that leads to conceptual
problems. Recent discussion by Francis, Barnes, James, and Lewis (2007) on the
physical sense of the increasing distance to a receding galaxy without motion
of the galaxy is just a particular consequence of the arising paradoxes. Here
we present an analysis of the following conceptual problems of the SCM: the
violation of energy conservation for local comoving volumes, the exact
Newtonian form of the Friedmann equation, the absence of an upper limit on the
receding velocity of galaxies which can be greater than the speed of light, and
the presence of the linear Hubble law deeply inside inhomogeneous galaxy
distribution. The common cause of these paradoxes is the geometrical
description of gravity, where there is no a well defined concept of the
energy-momentum tensor for the gravitational field, no energy quanta -
gravitons, and no energy-momentum conservation for matter plus gravity because
gravity is not a material field.


title:
Optimization of sequences in CDMA systems: a statistical-mechanics
  approach

abstract:
  Statistical mechanics approach is useful not only in analyzing macroscopic
system performance of wireless communication systems, but also in discussing
design problems of wireless communication systems. In this paper, we discuss a
design problem of spreading sequences in code-division multiple-access (CDMA)
systems, as an example demonstrating the usefulness of statistical mechanics
approach. We analyze, via replica method, the average mutual information
between inputs and outputs of a randomly-spread CDMA channel, and discuss the
optimization problem with the average mutual information as a measure of
optimization. It has been shown that the average mutual information is
maximized by orthogonally-invariant random Welch bound equality (WBE) spreading
sequences.


title: Whipping Instabilities in Electrified Liquid Jets

abstract:
  A liquid jet may develop different types of instabilities, like the so-called
Rayleigh-Plateau instability, which breaks the jet into droplets. However,
another type of instabilities may appear when we electrify a liquid jet and
induce some charge at his surface. Among them, the most common is the so-called
Whipping Instability, which is characterized by violent and fast lashes of the
jet. In the submitted fluid dynamic video(see
http://hdl.handle.net/1813/11422), we will show an unstable charged glycerine
jet in a dielectric liquid bath, which permits an enhanced visualization of the
instability. For this reason, it is probably the first time that these
phenomena are visualized with enough clarity to analyze features as the effect
of the feeding liquid flow rate through the jet or as the surprising
spontaneous stabilization at some critical distance to the ground electrode.


title:
Determining the Unithood of Word Sequences using Mutual Information and
  Independence Measure

abstract:
  Most works related to unithood were conducted as part of a larger effort for
the determination of termhood. Consequently, the number of independent research
that study the notion of unithood and produce dedicated techniques for
measuring unithood is extremely small. We propose a new approach, independent
of any influences of termhood, that provides dedicated measures to gather
linguistic evidence from parsed text and statistical evidence from Google
search engine for the measurement of unithood. Our evaluations revealed a
precision and recall of 98.68% and 91.82% respectively with an accuracy at
95.42% in measuring the unithood of 1005 test cases.


title: Supernova Nucleosynthesis and Extremely Metal-Poor Stars

abstract:
  We investigate hydrodynamical and nucleosynthetic properties of the
jet-induced explosion of a population III $40M_\odot$ star and compare the
abundance patterns of the yields with those of the metal-poor stars. We
conclude that (1) the ejection of Fe-peak products and the fallback of
unprocessed materials can account for the abundance patterns of the extremely
metal-poor (EMP) stars and that (2) the jet-induced explosion with different
energy deposition rates can explain the diversity of the abundance patterns of
the metal-poor stars. Furthermore, the abundance distribution after the
explosion and the angular dependence of the yield are shown for the models with
high and low energy deposition rates $\dot{E}_{\rm dep}=120\times10^{51} {\rm
ergs s^{-1}}$ and $1.5\times10^{51} {\rm ergs s^{-1}}$. We also find that the
peculiar abundance pattern of a Si-deficient metal-poor star HE 1424--0241 can
be reproduced by the angle-delimited yield for $\theta=30^\circ-35^\circ$ of
the model with $\dot{E}_{\rm dep}=120\times10^{51} {\rm ergs s^{-1}}$.


title: Optimal Modification Factor and Convergence of the Wang-Landau Algorithm

abstract:
  We propose a strategy to achieve the fastest convergence in the Wang-Landau
algorithm with varying modification factors. With this strategy, the
convergence of a simulation is at least as good as the conventional Monte Carlo
algorithm, i.e. the statistical error vanishes as $1/\sqrt{t}$, where $t$ is a
normalized time of the simulation. However, we also prove that the error cannot
vanish faster than $1/t$. Our findings are consistent with the $1/t$
Wang-Landau algorithm discovered recently, and we argue that one needs external
information in the simulation to beat the conventional Monte Carlo algorithm.


title: A Primer for Electro-Weak Induced Low Energy Nuclear Reactions

abstract:
  In a series of papers, cited in the main body of the paper below, detailed
calculations have been presented which show that electromagnetic and weak
interactions can induce low energy nuclear reactions to occur with observable
rates for a variety of processes. A common element in all these applications is
that the electromagnetic energy stored in many relatively slow moving electrons
can -under appropriate circumstances- be collectively transferred into fewer,
much faster electrons with energies sufficient for the latter to combine with
protons (or deuterons, if present) to produce neutrons via weak interactions.
The produced neutrons can then initiate low energy nuclear reactions through
further nuclear transmutations. The aim of this paper is to extend and enlarge
upon various examples analyzed previously, present simplified order of
magnitude estimates for each and to illuminate a common unifying theme amongst
all of them.


title: Lepton flavour violation in constrained MSSM-seesaw models

abstract:
  We calculate the predictions for lepton flavour violating (LFV) tau and muon
decays, $l_j \to l_i \gamma$, $l_j \to 3 l_i$, $\mu-e$ conversion in nuclei and
LFV semileptonic tau decays $\tau \to \mu PP$ with $PP= \pi^+\pi^-, \pi^0\pi^0,
K^+K^-, K^0 {\bar K}^0$ $\tau \to \mu P$ with $P=\pi^0, \eta, \eta'$ and $\tau
\to \mu V$ with $V = \rho^0, \phi$, performing the hadronisation of quark
bilinears within the chiral framework. We work within a SUSY-seesaw context
where the particle content of the Minimal Supersymmetric Standard Model is
extended by three right-handed neutrinos plus their corresponding SUSY
partners, and where a seesaw mechanism for neutrino mass generation is
implemented. Two different scenarios with either universal or non-universal
soft supersymmetry breaking Higgs masses at the gauge coupling unification
scale are considered. After comparing the predictions with present experimental
bounds and future sensitivities, the most promising processes are particularly
emphasised.


title: Hadron spectrum of QCD with one quark flavor

abstract:
  The latest results of an ongoing project for the lattice simulation of QCD
with a single quark flavor are presented. The Symanzik tree-level-improved
Wilson action is adopted in the gauge sector and the (unimproved) Wilson action
for the fermion. Results from new simulations with one step of Stout-smearing
(rho=0.15) in the fermion action are discussed. The one-flavor theory is
simulated by a polynomial hybrid Monte Carlo algorithm (PHMC) at beta=4.0
corresponding to a = 0.13fm, on 16^3x32 and 24^3x48 lattices; the box-size is L
= 2.1fm and L = 3.1fm, respectively. At the lightest simulated quark mass the
(partially quenched) pion mass is ~300 MeV. The masses of the lightest bound
states are computed, including the flavor singlet scalar and pseudoscalar
mesons sigma_s and eta_s, the scalar glueball 0^++, and the Delta^++ baryon.
Relics of SUSY in the mass spectrum, expected from a large N_c orientifold
equivalence with the N=1 supersymmetric Yang-Mills theory, are discussed.


title:
Field Fractal Cosmological Model As an Example of Practical Cosmology
  Approach

abstract:
  The idea of the global gravitational effect as the source of cosmological
redshift was considered by de Sitter (1916, 1917), Eddington (1923), Tolman
(1929) and Bondi (1947). Also Hubble (1929) called the discovered
distance-redshift relation as "De Sitter effect". For homogeneous matter
distribution cosmological gravitational redshift is proportional to square of
distance: z_grav ~ r^2. However for a fractal matter distribution having the
fractal dimension D=2 the global gravitational redshift is the linear function
of distance: z_grav ~ r, which gives possibility for interpretation of the
Hubble law without the space expansion. Here the field gravity fractal
cosmological model (FGF) is presented, which based on two initial principles.
The first assumption is that the Feynman's field gravity approach describes the
gravitational interaction, which delivers a natural basis for the conceptual
unity of all fundamental physical interactions within the framework of the
relativistic and quantum fields in Minkowski space. The second hypothesis is
that the spatial distribution of gravitating matter is a fractal at all scales
up to the Hubble radius. The fractal dimension of matter distribution is
assumed to be D = 2, which implies that the global gravitational redshift is
the explanation of the observed linear Hubble law. In the frame of the FGF all
three phenomena - the cosmic background radiation, the fractal large scale
structure, and the Hubble law, - could be the consequence of a unique large
scale structure evolution process of the initially homogeneous ordinary matter
without nonbaryonic matter and dark energy.


title:
LFV in semileptonic $\tau$ decays and $\mu-e$ conversion in nuclei in
  SUSY-seesaw

abstract:
  Here we review the main results of LFV in the semileptonic tau decays $\tau
\to \mu PP$ ($PP = \pi^+ \pi^-, \pi^0 \pi^0, K^+ K^-, K^0 \bar{K}^0$), $\tau
\to \mu P$ ($P = \pi, \eta, \eta^{\prime}$), and $\tau \to \mu V$ ($V = \rho,
\phi$) as well as in $\mu-e$ conversion in nuclei within SUSY-seesaw scenarios,
and compare our predictions with the present experimental bounds


title: The Hermitian Laplace Operator on Nearly K\"ahler Manifolds

abstract:
  The moduli space NK of infinitesimal deformations of a nearly K\"ahler
structure on a compact 6-dimensional manifold is described by a certain
eigenspace of the Laplace operator acting on co-closed primitive (1,1) forms.
Using the Hermitian Laplace operator and some representation theory, we compute
the space NK on all 6-dimensional homogeneous nearly K\"ahler manifolds. It
turns out that the nearly K\"ahler structure is rigid except for the flag
manifold F(1,2)=SU_3/T^2, which carries an 8-dimensional moduli space of
infinitesimal nearly K\"ahler deformations, modeled on the Lie algebra su_3 of
the isometry group.


title: Friction at Atomic-Scale Surface Steps: Experiment and Theory

abstract:
  Experiments performed by friction force microscopy at atomic-scale surface
steps on graphite, MoS$_2$, and NaCl in ambient conditions are presented. Both
step-down and step-up scans exhibit higher frictional forces at the edge, but
distinguish in their load dependence: While the additional frictional force due
to the step edge increases linearly with load if the tip has to jump a step up,
it remains constant for downward jumps. This phenomena represents a universal
effect that can be explained in terms of a modified Prandtl-Tomlinson model
featuring a Schoebel-Ehrlich barrier at steps.


title: Pulsating B and Be stars in the Magellanic Clouds

abstract:
  Stellar pulsations in main-sequence B-type stars are driven by the
$\kappa$-mechanism due to the Fe-group opacity bump. The current models do not
predict the presence of instability strips in the B spectral domain at very low
metallicities. As the metallicity of the Magellanic Clouds (MC) has been
measured to be around $Z=0.002$ for the Small Magellanic Cloud (SMC) and
$Z=0.007$ for the Large Magellanic Cloud (LMC), they constitute a very suitable
objects to test these predictions.
  The aim of this work is to investigate the existence of B-type pulsators at
low metallicities, searching for short-term periodic variability in a large
sample of B and Be stars from the MC with accurately determined fundamental
astrophysical parameters.


title: Orbifold SUSY GUT from the Heterotic String

abstract:
  From the string partition function, we discuss the mass-shell and GSO
projection conditions valid for Kaluza-Klein (KK) as well as massless states in
the heterotic string theory compactified on a nonprime orbifold. Based on the
obtained conditions we construct a 4D string standard model, which is embedded
in a 6D SUSY GUT by including KK states above the compactification scale. We
discuss the stringy threshold corrections to gauge couplings, including the
Wilson line effects.


title: Coordinated multi-wavelength observations of Sgr A*

abstract:
  We report on recent near-infrared (NIR) and X-ray observations of Sagittarius
A* (Sgr A*), the electromagnetic manifestation of the ~4x10^6 solar masses
super-massive black hole (SMBH) at the Galactic Center. The goal of these
coordinated multi-wavelength observations is to investigate the variable
emission from Sgr A* in order to obtain a better understanding of the
underlying physical processes in the accretion flow/outflow. The observations
have been carried out using the NACO adaptive optics (AO) instrument at the
European Southern Observatory's Very Large Telescope (July 2005, May 2007) and
the ACIS-I instrument aboard the Chandra X-ray Observatory (July 2005). We
report on a polarized NIR flare synchronous to a 8x1033 erg/s X-ray flare in
July 2005, and a further flare in May 2007 that shows the highest sub-flare to
flare contrast observed until now. The observations can be interpreted in the
framework of a model involving a temporary disk with a short jet. In the disk
component flux density variations can be explained due to hot spots on
relativistic orbits around the central SMBH. The variations of the
sub-structures of the May 2007 flare are interpreted as a variation of the hot
spot structure due to differential rotation within the disk.


title:
Qualitative explanation of the temperature behaviors of the transport
  properties and magnetic susceptibility of high-temperature superconductors in
  the normal state

abstract:
  A model based on the alternating structure of the imbedded conduction layers
(the Cu-O2 planes) with the charge-transfer-insulator (CTI) layers is proposed.
There are three kinds of carriers, each with a different behavior:
conduction-like holes in the Cu-O2 layers and electrons and normal holes in the
CTI matrix between the Cu-O2 layers. This structure explains the strong
anisotropies. The relationship is obtained between the concentration nq of
conduction-like holes in the Cu-O2 layers and the temperature T. The anomalous
temperature behavior of the resistivity as well as the Hall constant also
follows. We give the hole density in ab plane a definite physical meaning, and
also define explicitly optimal doping, overdoping and underdoping. Our model
gives the correct temperature dependence of the resistivity and the hole
constant on optimal doping, overdoping and underdoping, and it predicts the
temperature behavior of the cotangent of the Hall angle quite well. Based on
this model, we can also understand that the HiTc materials become "Fermi
Liquids" in the extremely overdoped region, and the dR/dT becomes negative
below some temperature T<1.211T0 in the underdoped case. Based on this model,
the thermal behaviors of the magnetic susceptibility in different doping can
also be easily explained. The resistivity along c-axis is discussed.


title: Communication Through a Quantum Link

abstract:
  A chain of interacting spin behaves like a quantum mediator (quantum link)
which allows two distant parties that control the ends of the chain to exchange
quantum messages. We show that over repeated uses without resetting the study
of a quantum link can be connected to correlated quantum channels with finite
dimensional environment (finite memory quantum channel). Then, using coding
arguments for such kind of channels and results on mixing channels we present a
protocol that allows us to achieve perfect information transmission through a
quantum link.


title:
Incoherent Cooper pair tunneling and energy band dynamics in small
  Josephson junctions - A study of the Bloch Oscillating Transistor

abstract:
  We discuss the properties of devices of small Josephson junctions in the
light of the phase fluctuation theory and the energy band structure, which
arises from the delocalization of the phase variable. The theory is applied in
the realization of a mesoscopic amplifier, the Bloch oscillating transistor.
The device characteristics and comparison with theory and simulations are
discussed. The current gain of the device in a stable operating mode has been
measured to be as high as 30. Measurements on input impedance and the power
gain show that the BOT is an amplifier designed for middle-range impedances,
ranging from 100 k$\Omega$ - 10 M$\Omega$.


title: Photon-Echo Quantum Memory

abstract:
  The future of long-distance quantum communication relies on the availability
of quantum memory, i.e. devices that allow temporal storage of quantum
information. We review research related to quantum state storage based on a
photon-echo approach in rare earth ion doped crystals and glasses.


title:
Maximal totally complex submanifolds of $\mathbb{H}\mathbb{P}^n$:
  homogeneity and normal holonomy

abstract:
  We prove that a maximal totally complex submanifold $N^{2n}$ of the
quaternionic projective space $\mathbb{H}\mathbb{P}^n$ ($n\geq 2$) is a
parallel submanifold, provided one of the following conditions is satisfied:
(1) $N$ is the orbit of a compact Lie group of isometries, (2) the restricted
normal holonomy is a proper subgroup of ${\rm U}(n)$.


title: Euler characteristic and quadrilaterals of normal surfaces

abstract:
  Let $M$ be a compact 3-manifold with a triangulation $\tau$. We give an
inequality relating the Euler characteristic of a surface $F$ normally embedded
in $M$ with the number of normal quadrilaterals in $F$. This gives a relation
between a topological invariant of the surface and a quantity derived from its
combinatorial description. Secondly, we obtain an inequality relating the
number of normal triangles and normal quadrilaterals of $F$, that depends on
the maximum number of tetrahedrons that share a vertex in $\tau$.