title: Simulation of traffic flow at a signalised intersection

abstract:
  We have developed a Nagel-Schreckenberg cellular automata model for
describing of vehicular traffic flow at a single intersection. A set of traffic
lights operating either in fixed-time or traffic adaptive scheme controls the
traffic flow. Closed boundary condition is applied to the streets each of which
conduct a uni-directional flow. Extensive Monte Carlo simulations are carried
out to find the model characteristics. In particular, we investigate the
dependence of the flows on the signalisation parameters.


title: Phenomenological model of the weak interaction

abstract:
  We use the informations known so far about elementary particles in order to
construct a simple model. We find a reason for the gyromagnetic factor of 2 for
leptons and a vivid imagination for the weak interaction. By this, we
understand, why the elementary particles with lowest mass are stable and all
other unstable.


title: Magnetic Braking and Protostellar Disk Formation: Ambipolar Diffusion

abstract:
  It is established that the formation of rotationally supported disks during
the main accretion phase of star formation is suppressed by a moderately strong
magnetic field in the ideal MHD limit. Non-ideal MHD effects are expected to
weaken the magnetic braking, perhaps allowing the disk to reappear. We
concentrate on one such effect, ambipolar diffusion, which enables the field
lines to slip relative to the bulk neutral matter. We find that the slippage
does not sufficiently weaken the braking to allow rotationally supported disks
to form for realistic levels of cloud magnetization and cosmic ray ionization
rate; in some cases, the magnetic braking is even enhanced. Only in dense cores
with both exceptionally weak fields and unreasonably low ionization rate do
such disks start to form in our simulations. We conclude that additional
processes, such as Ohmic dissipation or Hall effect, are needed to enable disk
formation. Alternatively, the disk may form at late times when the massive
envelope that anchors the magnetic brake is dissipated, perhaps by a
protostellar wind.


title: Lepton flavor violating Higgs decays and unparticle physics

abstract:
  We predict the branching ratios of the lepton flavor violating Higgs decays
H^0->e^{\pm} \mu^{\pm}, H^0-> e^{\pm} \tau^{\pm} and H^0->\mu^{\pm} \tau^{\pm}
in the case that the lepton flavor violation is carried by the scalar
unparticle mediation. We observe that their branching ratios are strongly
sensitive to the unparticle scaling dimension and they can reach to the values
of the order of $10^{-4}$, for the heavy lepton flavor case and for the small
values of the scaling dimension.


title: Controlling End User Computing Applications - a case study

abstract:
  We report the results of a project to control the use of end user computing
tools for business critical applications in a banking environment. Several
workstreams were employed in order to bring about a cultural change within the
bank towards the use of spreadsheets and other end-user tools, covering policy
development, awareness and skills training, inventory monitoring, user
licensing, key risk metrics and mitigation approaches. The outcomes of these
activities are discussed, and conclusions are drawn as to the need for
appropriate organisational models to guide the use of these tools.


title: Observables and cohomology classes for classical gravitational field

abstract:
  Some of the most outstanding questions in the field of gravitation and
geometry remain unsolved as a result of our limited understanding of the global
structure of the spacetime geometry and the role played by global spacetime
diffeomorphism group in quantum gravity. Some insight into these important
questions may be gained by looking at certain aspects of general covariance and
observables in classical gravitational theory.
  In this paper I shall define as set of classical geometric observables of the
gravitational field by which I mean Diff(M)-gauge invariant cohomology classes
defined on a Lorentzian structure. They represent global characteristics of the
physical gravitational phenomena, are linked to the topology of the spacetime,
and can be used in constructing new Lagrangians.
  The problem of finding a complete set of data out of observables is related
perhaps to the fact that at present moment, manifolds in dimension 4 and above
cannot be effectively classified. One could interpret this result as a pointer
to the possibility that there might be spacetimes with different topologies
(i.e., different global characteristics) which have indistinguishable local
spacetime geometry.


title: Spreadsheets: Aiming the Accountant's Hammer to Hit the Nail on the Head

abstract:
  Accounting and Finance (A&F) Professionals are arguably the most loyal and
concentrated population of spreadsheet users. The work that they perform in
spreadsheets has the most significant impact on financial data and business
processes within global organizations today. Spreadsheets offer the flexibility
and ease of use of a desktop application, combined with the power to perform
complex data analysis. They are also the lowest cost business IT tool when
stacked up against other functional tools. As a result, spreadsheets are used
to support critical business processes in most organizations. In fact, research
indicates that over half of financial management reporting is performed with
spreadsheets by an accounting and finance professional. A disparity exists in
the business world between the importance of spreadsheets on financial data
(created by A&F Professionals) and the resources devoted to: The development
and oversight of global spreadsheet standards; A recognized and accredited
certification in spreadsheet proficiency; Corporate sponsored and required
training; Awareness of emerging technologies as it relates to spreadsheet use.
This management paper focuses on the current topics relevant to the largest
user group (A&F Professionals) of the most widely used financial software
application, spreadsheets, also known as the accountant's hammer.


title:
The Structure of the Nonlinear Elastic Zone near the Tip of a Rapid
  Brittle Crack

abstract:
  This paper has been withdrawn by the authors due to new available results. A
revised version, that incorporates the new results, will be submitted later.


title:
A Young Planet Search in Visible and IR Light: DN Tau, V836 Tau, and
  V827 Tau

abstract:
  In searches for low-mass companions to late-type stars, correlation between
radial velocity variations and line bisector slope changes indicates
contamination by large starspots. Two young stars demonstrate that this test is
not sufficient to rule out starspots as a cause of radial velocity variations.
As part of our survey for substellar companions to T Tauri stars, we identified
the ~2 Myr old planet host candidates DN Tau and V836 Tau. In both cases,
visible light radial velocity modulation appears periodic and is uncorrelated
with line bisector span variations, suggesting close companions of several
M_Jup in these systems. However, high-resolution, infrared spectroscopy shows
that starspots cause the radial velocity variations. We also report unambiguous
results for V827 Tau, identified as a spotted star on the basis of both visible
light and infrared spectroscopy. Our results suggest that infrared follow up
observations are critical for determining the source of radial velocity
modulation in young, spotted stars.


title: On the Capacity Improvement of Multicast Traffic with Network Coding

abstract:
  In this paper, we study the contribution of network coding (NC) in improving
the multicast capacity of random wireless ad hoc networks when nodes are
endowed with multi-packet transmission (MPT) and multi-packet reception (MPR)
capabilities. We show that a per session throughput capacity of
$\Theta(nT^{3}(n))$, where $n$ is the total number of nodes and T(n) is the
communication range, can be achieved as a tight bound when each session
contains a constant number of sinks. Surprisingly, an identical order capacity
can be achieved when nodes have only MPR and MPT capabilities. This result
proves that NC does not contribute to the order capacity of multicast traffic
in wireless ad hoc networks when MPR and MPT are used in the network. The
result is in sharp contrast to the general belief (conjecture) that NC improves
the order capacity of multicast. Furthermore, if the communication range is
selected to guarantee the connectivity in the network, i.e., $T(n)\ge
\Theta(\sqrt{\log n/n})$, then the combination of MPR and MPT achieves a
throughput capacity of $\Theta(\frac{\log^{{3/2}} n}{\sqrt{n}})$ which provides
an order capacity gain of $\Theta(\log^2 n)$ compared to the point-to-point
multicast capacity with the same number of destinations.


title:
The Centrality Dependence of the Parton Bubble Model for high energy
  heavy ion collisions and fireball surface substructure at RHIC

abstract:
  In an earlier paper we developed a QCD inspired theoretical parton bubble
model (PBM) for RHIC/LHC. The PBM quantitatively agreed with the strong charged
particle pair correlations observed by the STAR collaboration at RHIC in the
highest energy Au + Au central collisions, and also agreed with the Hanbury
Brown and Twiss (HBT) observed small final state source size approximately 2f
radii in the transverse momentum range above 0.8 GeV/c. The model assumed a
substructure of a ring of localized adjoining 2f radius bubbles(gluonic hot
spots) perpendicular to the collider beam direction, centered on the beam, at
mid-rapidity and located on the expanding fireball surface of the Au + Au
collisions. In this paper we extend the model (PBME) to include the changing
development of bubbles with centrality from the most central region where
bubbles are very important to the most peripheral where the bubbles are gone.
Energy density is found to be related to bubble formation and as centrality
decreases the maximum energy density and bubbles shift from symmetry around the
beam axis to the reaction plane region causing a strong correlation of bubble
formation with elliptic flow. We obtained reasonably quantitative agreement
(within a few percent of the total correlations) with a new precision RHIC
experiment which extended the centrality region investigated to the range 0-80%
(most central to most peripheral). The characteristics and behavior of the
bubbles imply they represent a significant substructure formed on the surface
of the fireball at kinetic freezeout


title: On projectively equivalent metrics near points of bifurcation

abstract:
  Let Riemannian metrics $g$ and $\bar g$ on a connected manifold
  $M^n$ have the same geodesics (considered as unparameterized curves). Suppose
the eigenvalues of one metric with respect to the other are all different at a
point. Then, by the famous Levi-Civita's Theorem, the metrics have a certain
standard form near the point. Our main result is a generalization of
Levi-Civita's Theorem for the points where the eigenvalues of one metric with
respect to the other bifurcate.


title: Winds and Accretion in Young Stars

abstract:
  Establishing the origin of accretion powered winds from forming stars is
critical for understanding angular momentum evolution in the star-disk
interaction region. Here, the high velocity component of accretion powered
winds is launched and accreting stars are spun down, in defiance of the
expected spin-up during magnetospheric accretion. T Tauri stars in the final
stage of disk accretion offer a unique opportunity to study the connection
between accretion and winds and their relation to stellar spindown. Although
spectroscopic indicators of high velocity T Tauri winds have been known for
decades, the line of He I 10830 offers a promising new diagnostic to probe the
magnetically controlled star-disk interaction and wind-launching region. The
high opacity and resonance scattering properties of this line offer a powerful
probe of the geometry of both the funnel flow and the inner wind that, together
with other atomic and molecular spectral lines covering a wide range of
excitation and ionization states, suggests that the magnetic interaction
between the star and disk, and the subsequent launching of the inner high
velocity wind, is sensitive to the disk accretion rate.


title: Stochastic Resonance in the Fermi-Pasta-Ulam Chain

abstract:
  We consider a damped $\beta$-Fermi-Pasta-Ulam chain, driven at one boundary
subjected to stochastic noise. It is shown that, for a fixed driving amplitude
and frequency, increasing the noise intensity, the system's energy resonantly
responds to the modulating frequency of the forcing signal. Multiple peaks
appear in the signal to noise ratio, signalling the phenomenon of stochastic
resonance. The presence of multiple peaks is explained by the existence of many
stable and metastable states that are found when solving this boundary value
problem for a semi-continuum approximation of the model. Stochastic resonance
is shown to be generated by transitions between these states.

categories: nlin.PS cond-mat.stat-mech nlin.CD physics.class-ph


title: Inclusive Diffraction at HERA

abstract:
  The H1 and Zeus collaborations have measured the inclusive diffractive DIS
cross section ep -> eXp and these measurements are in good agreement within a
normalisation uncertainty. Diffractive parton density functions (DPDFs) have
been extracted from NLO QCD fits to inclusive measurements of diffractive DIS
and the predictions of these DPDFs are compared with measurements of
diffractive dijets in DIS, testing the validity of the factorisation
approximations used in their extraction. H1 then use these diffractive dijets
in DIS data to provide further constraints in a combined QCD fit, resulting in
the next generation of DPDFs which have constrained the diffractive gluon at
large momentum fractions. Finally, the predictions of DPDFs are compared to
diffractive dijets in photoproduction where the issue of survival probability
in a hadron-hadron environment can be studied.


title: How the $\mu$-deformed Segal-Bargmann space gets two measures

abstract:
  This note explains how the two measures used to define the $\mu$-deformed
Segal-Bargmann space are natural and essentially unique structures. As is well
known, the density with respect to Lebesgue measure of each of these measures
involves a Macdonald function. Our primary result is that these densities are
the solution of a system of ordinary differential equations which is naturally
associated with this theory. We then solve this system and find the known
densities as well as a "spurious" solution which only leads to a trivial
holomorphic Hilbert space. This explains how the Macdonald functions arise in
this theory. Also we comment on why it is plausible that only one measure will
not work. We follow Bargmann's approach by imposing a condition sufficient for
the $\mu$-deformed creation and annihilation operators to be adjoints of each
other. While this note uses elementary techniques, it reveals in a new way
basic aspects of the structure of the $\mu$-deformed Segal-Bargmann space.


title: Versatile Digital GHz Phase Lock for External Cavity Diode Lasers

abstract:
  We present a versatile, inexpensive and simple optical phase lock for
applications in atomic physics experiments. Thanks to all-digital phase
detection and implementation of beat frequency pre-scaling, the apparatus
requires no microwave-range reference input, and permits phase locking at
frequency differences ranging from sub-MHz to 7 GHz (and with minor extension,
to 12 GHz). The locking range thus covers ground state hyperfine splittings of
all alkali metals, which makes this system a universal tool for many
experiments on coherent interaction between light and atoms.


title: Isothermic hypersurfaces in R^{n+1}

abstract:
  A diagonal metric sum_{i=1}^n g_{ii} dx_i^2 is termed Guichard_k if
sum_{i=1}^{n-k}g_{ii}-sum_{i=n-k+1}^n g_{ii}=0. A hypersurface in R^{n+1} is
isothermic_k if it admits line of curvature co-ordinates such that its induced
metric is Guichard_k. Isothermic_1 surfaces in R^3 are the classical isothermic
surfaces in R^3. Both isothermic_k hypersurfaces in R^{n+1} and Guichard_k
orthogonal co-ordinate systems on R^n are invariant under conformal
transformations. A sequence of n isothermic_k hypersurfaces in R^{n+1}
(Guichard_k orthogonal co-ordinate systems on R^n resp.) is called a Combescure
sequence if the consecutive hypersurfaces (orthogonal co-ordinate systems
resp.) are related by Combescure transformations. We give a correspondence
between Combescure sequences of Guichard_k orthogonal co-ordinate systems on
R^n and solutions of the O(2n-k,k)/O(n)xO(n-k,k)-system, and a correspondence
between Combescure sequences of isothermic_k hypersurfaces in R^{n+1} and
solutions of the O(2n+1-k,k)/O(n+1)xO(n-k,k)-system, both being integrable
systems. Methods from soliton theory can therefore be used to construct
Christoffel, Ribaucour, and Lie transforms, and to describe the moduli spaces
of these geometric objects and their loop group symmetries.


title: Information and Data Quality in Spreadsheets

abstract:
  The quality of the data in spreadsheets is less discussed than the structural
integrity of the formulas. Yet it is an area of great interest to the owners
and users of the spreadsheet. This paper provides an overview of Information
Quality (IQ) and Data Quality (DQ) with specific reference to how data is
sourced, structured, and presented in spreadsheets.


title: Theory and computation of directional nematic phase ordering

abstract:
  A computational study of morphological instabilities of a two-dimensional
nematic front under directional growth was performed using a Landau-de Gennes
type quadrupolar tensor order parameter model for the first-order
isotropic/nematic transition of 5CB (pentyl-cyanobiphenyl). A previously
derived energy balance, taking anisotropy into account, was utilized to account
for latent heat and an imposed morphological gradient in the time-dependent
model. Simulations were performed using an initially homeotropic
isotropic/nematic interface. Thermal instabilities in both the linear and
non-linear regimes were observed and compared to past experimental and
theoretical observations. A sharp-interface model for the study of linear
morphological instabilities, taking into account additional complexity
resulting from liquid crystalline order, was derived. Results from the
sharp-interface model were compared to those from full two-dimensional
simulation identifying the specific limitations of simplified sharp-interface
models for this liquid crystal system. In the nonlinear regime, secondary
instabilities were observed to result in the formation of defects, interfacial
heterogeneities, and bulk texture dynamics.


title: The classical point-electron in the sequence algebra (C^infinity)^I

abstract:
  In arXiv:0806.4682 the self-energy and self-angular momentum (i.e.,
electromagnetic mass and spin) of a classical point-electron were calculated in
a Colombeau algebra. In the present paper these quantities are calculated in
the better known framework of `regularized distributions,' i.e., the customary
setting used in field-theory to manipulate diverging integrals, distributions,
and their products. The purpose is to compare these two frameworks, and to
highlight the reasons why the Colombeau theory of nonlinear generalized
functions could be the physically preferred setting for making these
calculations. In particular, it is shown that, in the Colombeau algebra, the
point-electron's mass and spin are {exact} integrals of squares of
delta-functions, whereas this is only an approximation in the customary
framework.


title: Overview and main results of the DidaTab project

abstract:
  The DidaTab project (Didactics of Spreadsheet, teaching and learning
spreadsheets) is a three year project (2005-2007) funded by the French Ministry
of Research and dedicated to the study of personal and classroom uses of
spreadsheets in the French context, focussing on the processes of appropriation
and uses by secondary school students. In this paper, we present an overview of
the project, briefly report the studies performed in the framework of the
DidaTab project, and give the main results we obtained. We then explore the new
research tracks we intend to develop, more in connection with EuSpRIG. Our main
result is that the use of spreadsheet during secondary education (grade 6 to
12) is rather sparse for school work (and even more seldom at home) and that
student competencies are weak. Curricula have to be reviewed to include more
training of dynamics tabular tools (including databases queries) in order to
ensure sufficient mastery of computer tools that have became necessary in many
educational activities.


title: Revisiting the Panko-Halverson Taxonomy of Spreadsheet Errors

abstract:
  The purpose of this paper is to revisit the Panko-Halverson taxonomy of
spreadsheet errors and suggest revisions. There are several reasons for doing
so: First, the taxonomy has been widely used. Therefore, it should have
scrutiny; Second, the taxonomy has not been widely available in its original
form and most users refer to secondary sources. Consequently, they often equate
the taxonomy with the simplified extracts used in particular experiments or
field studies; Third, perhaps as a consequence, most users use only a fraction
of the taxonomy. In particular, they tend not to use the taxonomy's life-cycle
dimension; Fourth, the taxonomy has been tested against spreadsheets in
experiments and spreadsheets in operational use. It is time to review how it
has fared in these tests; Fifth, the taxonomy was based on the types of
spreadsheet errors that were known to the authors in the mid-1990s. Subsequent
experience has shown that the taxonomy needs to be extended for situations
beyond those original experiences; Sixth, the omission category in the taxonomy
has proven to be too narrow. Although this paper will focus on the
Panko-Halverson taxonomy, this does not mean that that it is the only possible
error taxonomy or even the best error taxonomy.


title:
Improved Monotone Circuit Depth Upper Bound for Directed Graph
  Reachability

abstract:
  We prove that the directed graph reachability problem (transitive closure)
can be solved by monotone fan-in 2 boolean circuits of depth (1/2+o(1))(log
n)^2, where n is the number of nodes. This improves the previous known upper
bound (1+o(1))(log n)^2. The proof is non-constructive, but we give a
constructive proof of the upper bound (7/8+o(1))(log n)^2.


title:
The initial value problem for linearized gravitational perturbations of
  the Schwarzschild naked singularity

abstract:
  The coupled equations for the scalar modes of the linearized Einstein
equations around Schwarzschild's spacetime were reduced by Zerilli to a 1+1
wave equation with a potential $V$, on a field $\Psi_z$. For smooth metric
perturbations $\Psi_z$ is singular at $r_s=-6M/(\ell-1)(\ell+2)$, $\ell$ the
mode harmonic number, and $V$ has a second order pole at $r_s$. This is
irrelevant to the black hole exterior stability problem, where $r>2M>0$, and
$r_s <0$, but it introduces a non trivial problem in the naked singular case
where $M<0$, then $r_s>0$, and the singularity appears in the relevant range of
$r$. We solve this problem by developing a new approach to the evolution of the
even mode, based on a {\em new gauge invariant function}, $\hat \Psi$ -related
to $\Psi_z$ by an intertwiner operator- that is a regular function of the
metric perturbation {\em for any value of $M$}. This allows to address the
issue of evolution of gravitational perturbations in this non globally
hyperbolic background, and to complete the proof of the linear instability of
the Schwarzschild naked singularity, by showing that a previously found
unstable mode is excitable by generic initial data. This is further illustrated
by numerically solving the linearized equations for suitably chosen initial
data.


title:
Dynamical transition in translational and rotational dynamics of water
  in the grooves of DNA duplex at low temperature

abstract:
  We have simulated structure and dynamics of water in the grooves of a DNA
duplex using moleculear dynamics simulations. We find signatures of a dynamical
transition in both translational and orientational dynamics of water molecules
in both the major and the minor grooves of a DNA duplex. The transition occurs
at a slightly higher temperature ($T_{GL} \approx $ 255 K) than the temperature
($T_L\approx$ 247 K) where the bulk water is conjectured to undergo a dynamical
transition. Groove water, however, exhibits markedly different temperature
dependence of its properties from the bulk. Entropy calculations reveal that
the minor groove water is ordered even at room temperature and the transition
at $T \approx$ 255 K can be characterized as a {\em strong-to-strong} dynamical
transition. The low temperature water is characterized by pronounced
tetrahedral order, as manifested in the sharp rise near $109^{\circ}$ in the
O-O-O angle distribution. We find that Adams-Gibbs relation between
configurational entropy and translational diffusion holds quite well when the
two quantities are plotted together in a master plot for different region of
aqueous DNA duplex (bulk, major and minor grooves) at different temperatures.
The activation energy for the transfer of water molecules between different
regions of DNA is found to be independent of temperature.


title: A Short Working Distance Multiple Crystal X-ray Spectrometer

abstract:
  For x-ray spot sizes of a few tens of microns or smaller, a mm-sized flat
analyzer crystal placed ~ 1 cm from the sample will exhibit high energy
resolution while subtending a collection solid angle comparable to that of a
typical spherically bent crystal analyzer (SBCA) at much larger working
distances. Based on this observation and a non-focusing geometry for the
analyzer optic, we have constructed and tested a short working distance (SWD)
multicrystal x-ray spectrometer. This prototype instrument has a maximum
effective collection solid angle of 0.14 sr, comparable to that of 17 SBCA at 1
meter working distance. We find good agreement with prior work for measurements
of the Mn K_beta x-ray emission and resonant inelastic x-ray scattering (RIXS)
for MnO and also for measurements of the x-ray absorption near-edge structure
for Dy metal using Lalpha2 partial-fluorescence yield detection. We discuss
future applications at third- and fourth-generation light sources. For
concentrated samples, the extremely large collection angle of SWD spectrometers
will permit collection of high-resolution x-ray emission spectra with a single
pulse of the Linac Coherent Light Source.


title:
Robust Near-Isometric Matching via Structured Learning of Graphical
  Models

abstract:
  Models for near-rigid shape matching are typically based on distance-related
features, in order to infer matches that are consistent with the isometric
assumption. However, real shapes from image datasets, even when expected to be
related by "almost isometric" transformations, are actually subject not only to
noise but also, to some limited degree, to variations in appearance and scale.
In this paper, we introduce a graphical model that parameterises appearance,
distance, and angle features and we learn all of the involved parameters via
structured prediction. The outcome is a model for near-rigid shape matching
which is robust in the sense that it is able to capture the possibly limited
but still important scale and appearance variations. Our experimental results
reveal substantial improvements upon recent successful models, while
maintaining similar running times.


title: Growth mechanism for epitaxial graphene on vicinal 6H-SiC(0001) surfaces

abstract:
  The inability to grow large well ordered graphene with a specific number of
layers on SiC(0001) is well known. The growth involves several competing
processes (Si desorption, carbon diffusion, island nucleation etc.), and
because of the high temperatures, it has not been possible to identify the
growth mechanism. Using Scanning tunneling microscopy and an initially vicinal
6H-SiC(0001) sample, we determine the sequence of microscopic processes that
result in the formation of bilayer graphene. Adjacent steps retract with
different speeds and the carbon released produces characteristic "fingers" when
a step of higher speed catches up with a slower moving step. These processes
are based on different rates of Si desorption from steps and can be avoided if
faster heating rates are used. We also show that faster rates lead to single
layer graphene films extending over many microns.


title:
Spectral hardness evolution characteristics of tracking Gamma-ray Burst
  pulses

abstract:
  Employing a sample presented by Kaneko et al. (2006) and Kocevski et al.
(2003), we select 42 individual tracking pulses (here we defined tracking as
the cases in which the hardness follows the same pattern as the flux or count
rate time profile) within 36 Gamma-ray Bursts (GRBs) containing 527
time-resolved spectra and investigate the spectral hardness, $E_{peak}$ (where
$E_{peak}$ is the maximum of the $\nu F_{\nu}$ spectrum), evolutionary
characteristics. The evolution of these pulses follow soft-to-hard-to-soft (the
phase of soft-to-hard and hard-to-soft are denoted by rise phase and decay
phase, respectively) with time. It is found that the overall characteristics of
$E_{peak}$ of our selected sample are: 1) the $E_{peak}$ evolution in the rise
phase always start on the high state (the values of $E_{peak}$ are always
higher than 50 keV); 2) the spectra of rise phase clearly start at higher
energy (the median of $E_{peak}$ are about 300 keV), whereas the spectra of
decay phase end at much lower energy (the median of $E_{peak}$ are about 200
keV); 3) the spectra of rise phase are harder than that of the decay phase and
the duration of rise phase are much shorter than that of decay phase as well.
In other words, for a complete pulse the initial $E_{peak}$ is higher than the
final $E_{peak}$ and the duration of initial phase (rise phase) are much
shorter than the final phase (decay phase). This results are in good agreement
with the predictions of Lu et al. (2007) and current popular view on the
production of GRBs. We argue that the spectral evolution of tracking pulses may
be relate to both of kinematic and dynamic process even if we currently can not
provide further evidences to distinguish which one is dominant. Moreover, our
statistical results give some witnesses to constrain the current GRB model.


title: Symplectic Reconstruction of Data for Heat and Wave Equations

abstract:
  This report concerns the inverse problem of estimating a spacially dependent
coefficient of a partial differential equation from observations of the
solution at the boundary. Such a problem can be formulated as an optimal
control problem with the coefficient as the control variable and the solution
as state variable. The heat or the wave equation is here considered as state
equation. It is well known that such inverse problems are ill-posed and need to
be regularized. The powerful Hamilton-Jacobi theory is used to construct a
simple and general method where the first step is to analytically regularize
the Hamiltonian; next its Hamiltonian system, a system of nonlinear partial
differential equations, is solved with the Newton method and a sparse Jacobian.


title:
On congruences mod ${\mathfrak p}^m$ between eigenforms and their
  attached Galois representations

abstract:
  Given a prime $p$ and cusp forms $f_1$ and $f_2$ on some $\Gamma_1(N)$ that
are eigenforms outside $Np$ and have coefficients in the ring of integers of
some number field $K$, we consider the problem of deciding whether $f_1$ and
$f_2$ have the same eigenvalues mod ${\mathfrak p}^m$ (where ${\mathfrak p}$ is
a fixed prime of $K$ over $p$) for Hecke operators $T_{\ell}$ at all primes
$\ell\nmid Np$.
  When the weights of the forms are equal the problem is easily solved via an
easy generalization of a theorem of Sturm. Thus, the main challenge in the
analysis is the case where the forms have different weights. Here, we prove a
number of necessary and sufficient conditions for the existence of congruences
mod ${\mathfrak p}^m$ in the above sense.
  The prime motivation for this study is the connection to modular mod
${\mathfrak p}^m$ Galois representations, and we also explain this connection.


title: Birth of the Universe from the Multiverse

abstract:
  It is fair to say that the deepest mystery in our understanding of nature is
the birth of our universe. Much of the dilemma over the last decades comes from
the extraordinarily small probability that the universe started with the high
energy Big Bang as compared to the chance of nucleating any other event. How
can Big Bang cosmology be $10^{10^{123}}$ times less likely than nucleating the
present cold universe, while accumulating such exquisite agreement with
astrophysical data? Why don't we see the other nucleations that, if left to
chance, seem to overwhelmingly outnumber us? Here I discuss the point of view
that the selection of the initial conditions can be meaningfully addressed only
within the framework of the multiverse and that the reason why Big Bang
inflation was preferred over other events lies in the quantum dynamics of the
landscape of the initial patches. The out-of-equilibrium dynamics selected the
'survivor' universes be born at high energies and the 'terminal' universes at
low energies. I briefly review the testable predictions of this theory, in
particular the giant void observed in 2007. The second part focuses on the
extended framework, in particular a set of postulates needed for defining the
multiverse.


title:
Handlebody-preserving finite group actions on Haken manifolds with
  Heegaard genus two

abstract:
  Let $M$ be a closed orientable 3-manifold with a genus two Heegaard splitting
$(V_1, V_2; F)$ and a non-trivial JSJ-decomposition, where all components of
the intersection of the JSJ-tori and $V_i$ are not $\partial$-parallel in $V_i$
for $i=1,2$. If $G$ is a finite group of orientation-preserving diffeomorphisms
acting on $M$ which preserves each handlebody of the Heegaard splitting and
each piece of the JSJ-decomposition of $M$, then $G\cong \mathbb{Z}_2$ or
$\mathbb{D}_2$ if $V_j\cap(\cup T_i)$ consists of at most two disks or at most
two annuli.


title: Recent Topics on Very High Energy Gamma-ray Astronomy

abstract:
  With the advent of imaging atmospheric Cherenkov telescopes in late 1980's,
ground-based observation of TeV gamma-rays came into reality after struggling
trials by pioneers for twenty years, and the number of gamma-ray sources
detected at TeV energies has increased to be over seventy now. In this review,
recent findings from ground-based very-high-energy gamma-ray observations are
summarized (as of 2008 March), and up-to-date problems in this research field
are presented.


title: Banach Spaces of Bounded Szlenk Index II

abstract:
  For every $\alpha<\omega_1$ we establish the existence of a separable Banach
space whose Szlenk index is $\omega^{\alpha\omega+1}$ and which is universal
for all separable Banach spaces whose Szlenk-index does not exceed
$\omega^{\alpha\omega}$. In order to prove that result we provide an intrinsic
characterization of which Banach spaces embed into a space admitting an FDD
with upper estimates.


title: Alleviation of Cosmic Age Problem In Interacting Dark Energy Model

abstract:
  We investigate the cosmic age problem associated with the old high-$z$ quasar
APM 08279 + 5255 and the oldest globular cluster M 107, both being difficult to
accommodate in $\Lambda$CDM model. By evaluating the age of the Universe in a
model that has an extremely phantom like form of dark energy (DE), we show that
simply introducing the dark energy alone does not remove the problem, and the
interaction between dark matter (DM) and DE need to be taken into account.
Next, as examples, we consider two interacting DE models. It is found that both
these two interacting DE Models can predict a cosmic age much greater than that
of $\Lambda$CDM model at any redshift, and thus substantially alleviate the
cosmic age problem. Therefore, the interaction between DM and DE is the crucial
factor required to make the predicted cosmic ages consistent with observations.


title:
Fidelity, fidelity susceptibility and von Neumann entropy to
  characterize the phase diagram of an extended Harper model

abstract:
  For an extended Harper model, the fidelity for two lowest band edge states
corresponding to different model parameters, the fidelity susceptibility and
the von Neumann entropy of the lowest band edge states, and the
spectrum-averaged von Neumann entropy are studied numerically, respectively.
The fidelity is near one when parameters are in the same phase or same phase
boundary; otherwise it is close to zero. There are drastic changes in fidelity
when one parameter is at phase boundaries. For fidelity susceptibility the
finite scaling analysis performed, the critical exponents $\alpha$, $\beta$,
and $\nu$ depend on system sizes for the metal-metal phase transition, while
not for the metal-insulator phase transition. For both phase transitions
$\nu/\alpha\approx2$. The von Neumann entropy is near one for the metallic
phase, while small for the insulating phase. There are sharp changes in von
Neumann entropy at phase boundaries. According to the variation of the
fidelity, fidelity susceptibility, and von Neumann entropy with model
parameters, the phase diagram, which including two metallic phases and one
insulating phase separated by three critical lines with one bicritical point,
can be completely characterized, respectively. These numerical results indicate
that the three quantities are suited for revealing all the critical phenomena
in the model.


title: Quantum Repeater with Encoding

abstract:
  We propose a new approach to implement quantum repeaters for long distance
quantum communication. Our protocol generates a backbone of encoded Bell pairs
and uses the procedure of classical error correction during simultaneous
entanglement connection. We illustrate that the repeater protocol with simple
Calderbank-Shor-Steane (CSS) encoding can significantly extend the
communication distance, while still maintaining a fast key generation rate.


title: W-algebras related to parafermion algebras

abstract:
  We study a W-algebra of central charge 2(k-1)/(k+2) with k a positive integer
greater than 1


title:
A dispersive bound for three-dimensional Schroedinger operators with
  zero energy eigenvalues

abstract:
  We prove a dispersive estimate for the evolution of Schroedinger operators $H
= -\Delta + V(x)$ in ${\mathbb R}^3$. The potential is allowed to be a
complex-valued function belonging to $L^p(\R^3)\cap L^q(\R^3)$, $p < \frac32 <
q$, so that $H$ need not be self-adjoint or even symmetric. Some additional
spectral conditions are imposed, namely that no resonances of $H$ exist
anywhere within the interval $[0,\infty)$ and that eigenfunctions at zero
(including generalized eigenfunctions) decay rapidly enough to be integrable.


title: Damping in 2D and 3D dilute Bose gases

abstract:
  Damping in 2D and 3D dilute gases is investigated using both the
hydrodynamical approach and the Hartree-Fock-Bogoliubov (HFB) approximation .
We found that the both methods are good for the Beliaev damping at zero
temperature and Landau damping at very low temperature, however, at high
temperature, the hydrodynamical approach overestimates the Landau damping and
the HFB gives a better approximation. This result shows that the comparison of
the theoretical calculation using the hydrodynamical approach and the
experimental data for high temperature done by Vincent Liu (PRL {\bf21} 4056
(1997)) is not proper. For two-dimensional systems, we show that the Beliaev
damping rate is proportional to $k^3$ and the Landau damping rate is
proportional to $ T^2$ for low temperature and to $T$ for high temperature. We
also show that in two dimensions the hydrodynamical approach gives the same
result for zero temperature and for low temperature as HFB, but overestimates
the Landau damping for high temperature.


title: Theory of Timeon

abstract:
  It is proposed that $T$ violation in hadronic physics, as well as the masses
of $u, d$ quarks, arise from a pseudoscalar interaction with a new spin 0 field
$\tau(x)$, odd in $P$ and $T$, but even in $C$. This interaction contains a
factor $i\gamma_5$ in the quark Dirac algebra, so that the full Hamiltonian is
$P$, $T$ conserving; but by spontaneous symmetry breaking, the new field
$\tau(x)$ has a nonzero expectation value $<\tau>=\tau_0$ that breaks $P$ and
$T$ symmetry.
  Oscillations of $\tau(x)$ about its expectation value $\tau_0$ produce a new
particle, the "timeon", whose mass is independent of any known quantities. If
the timeon mass is within the range of present accelerators, observation of the
particle can be helped with a search of $T$-violating events.}


title:
Polynomial two-parameter eigenvalue problems and matrix pencil methods
  for stability of delay-differential equations

abstract:
  Several recent methods used to analyze asymptotic stability of
delay-differential equations (DDEs) involve determining the eigenvalues of a
matrix, a matrix pencil or a matrix polynomial constructed by Kronecker
products. Despite some similarities between the different types of these
so-called matrix pencil methods, the general ideas used as well as the proofs
differ considerably. Moreover, the available theory hardly reveals the
relations between the different methods.
  In this work, a different derivation of various matrix pencil methods is
presented using a unifying framework of a new type of eigenvalue problem: the
polynomial two-parameter eigenvalue problem, of which the quadratic
two-parameter eigenvalue problem is a special case. This framework makes it
possible to establish relations between various seemingly different methods and
provides further insight in the theory of matrix pencil methods.
  We also recognize a few new matrix pencil variants to determine DDE
stability.
  Finally, the recognition of the new types of eigenvalue problem opens a door
to efficient computation of DDE stability.


title: Measuring the internal clock of the electron

abstract:
  The existence of an internal frequency associated to any elementary particle
conjectured by de Broglie is compared with a classical description of the
electron, where this internal structure corresponds to the motion of the centre
of charge around the centre of mass of the particle. This internal motion has a
frequency twice de Broglie's frequency, which corresponds to the frequency
found by Dirac when analysing the electron structure. To get evidence of this
internal electron clock a kind of experiment as the one performed by Gouan\'ere
et al. \cite{Gouanere} will show a discrete set of momenta at which a resonant
scattering effect, appears. The resonant momenta of the electron beam are given
by $p_k=161.748/k$ MeV$/c$, $k=1,2,3,...$, where only, the corresponding to
$k=2$, was within the range of Gouan\'ere et al. experiment. The extension of
the experiment to other values of $p_k$, would show the existence of this
phenomenon.


title:
Mapping functions and critical behavior of percolation on rectangular
  domains

abstract:
  The existence probability $E_p$ and the percolation probability $P$ of the
bond percolation on rectangular domains with different aspect ratios $R$ are
studied via the mapping functions between systems with different aspect ratios.
The superscaling behavior of $E_p$ and $P$ for such systems with exponents $a$
and $b$, respectively, found by Watanabe, Yukawa, Ito, and Hu in [Phys. Rev.
Lett. \textbf{93}, 190601 (2004)] can be understood from the lower order
approximation of the mapping functions $f_R$ and $g_R$ for $E_p$ and $P$,
respectively; the exponents $a$ and $b$ can be obtained from numerically
determined mapping functions $f_R$ and $g_R$, respectively.


title: Interfacial charge transfer in nanoscale polymer transistors

abstract:
  Interfacial charge transfer plays an essential role in establishing the
relative alignment of the metal Fermi level and the energy bands of organic
semiconductors. While the details remain elusive in many systems, this charge
transfer has been inferred in a number of photoemission experiments. We present
electronic transport measurements in very short channel ($L < 100$ nm)
transistors made from poly(3-hexylthiophene) (P3HT). As channel length is
reduced, the evolution of the contact resistance and the zero-gate-voltage
conductance are consistent with such charge transfer. Short channel conduction
in devices with Pt contacts is greatly enhanced compared to analogous devices
with Au contacts, consistent with charge transfer expectations. Alternating
current scanning tunneling microscopy (ACSTM) provides further evidence that
holes are transferred from Pt into P3HT, while much less charge transfer takes
place at the Au/P3HT interface.


title:
Tailoring the Magnetic Anisotropy in CoRh Nanoalloys: Experiment and
  Theory

abstract:
  The magnetic moments and magnetic anisotropy energy (MAE) of CoRh alloy
nanoparticles are determined experimentally and theoretically. Non-trivial
correlations between chemical order, magnetic order and MAE are revealed. A
remarkable non-monotonous dependence of the MAE as a function of composition
and chemical order is observed that opens novel possibilities of tuning the
magnetic properties of nanoalloys. The observations are successfully compared
and analyzed with our electronic calculations. In this way we clearly
demonstrate that the induced 4d moments and the 3d-4d interfaces are the key
parameters controlling the magneto-anisotropic behavior.


title:
$\infty-$Dimensional Cerebellar Controller for Realistic Human
  Biodynamics

abstract:
  In this paper we propose an $\infty-$dimensional cerebellar model of neural
controller for realistic human biodynamics. The model is developed using
Feynman's action-amplitude (partition function) formalism. The cerebellum
controller is acting as a supervisor for an autogenetic servo control of human
musculo-skeletal dynamics, which is presented in (dissipative, driven)
Hamiltonian form. The $\infty-$dimensional cerebellar controller is closely
related to entropic motor control.
  Keywords: realistic human biodynamics, cerebellum motion control,
$\infty-$dimensional neural network


title:
Elementary transitions and magnetic correlations in two-dimensional
  disordered nanoparticle ensembles

abstract:
  The magnetic relaxation processes in disordered two-dimensional ensembles of
dipole-coupled magnetic nanoparticles are theoretically investigated by
performing numerical simulations. The energy landscape of the system is
explored by determining saddle points, adjacent local minima, energy barriers,
and the associated minimum energy paths (MEPs) as functions of the structural
disorder and particle density. The changes in the magnetic order of the
nanostructure along the MEPs connecting adjacent minima are analyzed from a
local perspective. In particular, we determine the extension of the correlated
region where the directions of the particle magnetic moments vary
significantly. It is shown that with increasing degree of disorder the magnetic
correlation range decreases, i.e., the elementary relaxation processes become
more localized. The distribution of the energy barriers, and their relation to
the changes in the magnetic configurations are quantified. Finally, some
implications for the long-time magnetic relaxation dynamics of nanostructures
are discussed.


title: Painlev\'e V and a Pollaczek-Jacobi type orthogonal polynomials

abstract:
  We study a sequence of polynomials orthogonal with respect to a one parameter
family of weights $$ w(x):=w(x,t)=\rex^{-t/x}\:x^{\al}(1-x)^{\bt},\quad t\geq
0, $$ defined for $x\in[0,1].$ If $t=0,$ this reduces to a shifted Jacobi
weight. Our ladder operator formalism and the associated compatibility
conditions give an easy determination of the recurrence coefficients.
  For $t>0,$ the factor $\rex^{-t/x}$ induces an infinitely strong zero at
$x=0.$ With the aid of the compatibility conditions, the recurrence
coefficients are expressed in terms of a set of auxiliary quantities that
satisfy a system of difference equations. These, when suitably combined with a
pair of Toda-like equations derived from the orthogonality principle, show that
the auxiliary quantities are a particular Painlev\'e V and/or allied functions.
  It is also shown that the logarithmic derivative of the Hankel determinant,
$$ D_n(t):=\det(\int_{0}^{1} x^{i+j}
\:\rex^{-t/x}\:x^{\al}(1-x)^{\bt}dx)_{i,j=0}^{n-1}, $$ satisfies the
Jimbo-Miwa-Okamoto $\sigma-$form of the Painlev\'e V and that the same quantity
satisfies a second order non-linear difference equation which we believe to be
new.


title: IGRJ16479-4514: the first eclipsing supergiant fast X-ray transient?

abstract:
  Supergiant fast X-ray transients are a new class of high mass X-ray binaries
recently discovered with INTEGRAL. Hours long outbursts from these sources have
been observed on numerous occasions at luminosities of ~1E36-1E37 erg/s,
whereas their low level activity at ~1E32-1E34 erg/s has not been deeply
investigated yet due to the paucity of long pointed observations with high
sensitivity X-ray telescopes. Here we report on the first long (~32 ks) pointed
XMM-Newton observation of IGR J16479-4514, a member of this new class. This
observation was carried out in March 2008, shortly after an outburst from this
source, with the main goal of investigating its low level emission and physical
mechanisms that drive the source activity. Results from the timing, spectral
and spatial analysis of the EPIC-PN XMM-Newton observation show that the X-ray
source IGRJ16479-4514 underwent an episode of sudden obscuration, possibly an
X-ray eclipse by the supergiant companion. We also found evidence for a soft
X-ray extended halo around the source that is most readily interpreted as due
to scattering by dust along the line of sight to IGRJ16479-4514. We discuss
this result in the context of the gated accretion scenarios that have been
proposed to interpret the behaviour of supergiant fast X-ray transient.


title: Some extensions of the class of $k$-convex bodies

abstract:
  We study relations of some classes of $k$-convex, $k$-visible bodies in
Euclidean spaces. We introduce and study \textrm{circular projections} in
normed linear spaces and classes of bodies related with families of such maps,
in particular, \textrm{$k$-circular convex} and \textrm{$k$-circular visible}
ones.
  Investigation of these bodies more general than $k$-convex and $k$-visible
ones allows us to generalize some classical results of geometric tomography and
find their new applications.


title: The group of isometries of a Banach space and duality

abstract:
  We construct an example of a real Banach space whose group of surjective
isometries has no uniformly continuous one-parameter semigroups, but the group
of surjective isometries of its dual contains infinitely many of them. Other
examples concerning numerical index, hermitian operators and dissipative
operators are also shown.


title:
Resonant-tunnelling-assisted crossing for subwavelength plasmonic slot
  waveguides

abstract:
  We theoretically investigate the properties of crossing for two perpendicular
subwavelength plasmonic slot waveguides. We show that, when encountering nano
intersection, the crosstalk for the direct crossing is around 25%, almost same
as throughout. In terms of symmetry considerations and resonant-tunnelling
effect, we design compact cavity-based structures. Our results show that the
crosstalk is eliminated and the throughput reaches the unity on resonance.
Simulations results are in agreement with those from the coupled-model theory.
When taking into account of the material loss, due to the unchanged symmetry
properties of the modes, the crosstalk is still suppressed. Our results may
open a way to construct nanoscale crossings for high-density nanoplasmonic
integration circuits.


title: Approximating acyclicity parameters of sparse hypergraphs

abstract:
  The notions of hypertree width and generalized hypertree width were
introduced by Gottlob, Leone, and Scarcello in order to extend the concept of
hypergraph acyclicity. These notions were further generalized by Grohe and
Marx, who introduced the fractional hypertree width of a hypergraph. All these
width parameters on hypergraphs are useful for extending tractability of many
problems in database theory and artificial intelligence. In this paper, we
study the approximability of (generalized, fractional) hyper treewidth of
sparse hypergraphs where the criterion of sparsity reflects the sparsity of
their incidence graphs. Our first step is to prove that the (generalized,
fractional) hypertree width of a hypergraph H is constant-factor sandwiched by
the treewidth of its incidence graph, when the incidence graph belongs to some
apex-minor-free graph class. This determines the combinatorial borderline above
which the notion of (generalized, fractional) hypertree width becomes
essentially more general than treewidth, justifying that way its functionality
as a hypergraph acyclicity measure. While for more general sparse families of
hypergraphs treewidth of incidence graphs and all hypertree width parameters
may differ arbitrarily, there are sparse families where a constant factor
approximation algorithm is possible. In particular, we give a constant factor
approximation polynomial time algorithm for (generalized, fractional) hypertree
width on hypergraphs whose incidence graphs belong to some H-minor-free graph
class.


title:
A Jacobi algorithm for distributed model predictive control of
  dynamically coupled systems

abstract:
  In this paper we introduce an iterative Jacobi algorithm for solving
distributed model predictive control (DMPC) problems, with linear coupled
dynamics and convex coupled constraints. The algorithm guarantees stability and
persistent feasibility, and we provide a localized procedure for constructing
an initial feasible solution by constraint tightening. Moreover, we show that
the solution of the iterative process converges to the centralized MPC
solution. The proposed iterative approach involves solving local optimization
problems consisting of only few subsystems, depending on the choice of the
designer and the sparsity of dynamical and constraint couplings. The gain in
the overall computational load compared to the centralized problem is balanced
by the increased communication requirements. This makes our approach more
applicable to situations where the number of subsystems is large, the coupling
is sparse, and local communication is relatively fast and cheap. A numerical
example illustrates the effects of the local problem size, and the number of
iterations on convergence to the centralized solution.


title: Tribimaximal mixing and leptogenesis in a seesaw model

abstract:
  It is pointed out that if a neutrino mass matrix for right-handed neutrinos
in seesaw mechanism has mu -tau symmetry and total lepton number L_{e}+L_{\mu
}+L_{\tau} remains constant (not zero), exact tribimaximal neutrino mixing in
this sector is produced. The same follows for the effective Majorana light
neutrino mass matrix provided that Yukawa couplings (multiplied by the
corresponding Higgs vacuum expectation values) in Dirac mass matrix satisfy
some constraints which in general implies zero leptongenesis asymmetry. However
this can be avoided when two of the heavy right-hand neutrinos [the third one
is irrelevant when mu -tau symmetry is assumed] are (nearly) degenerate.


title: Generating Static Spherically Symmetric Black-holes in Lovelock Gravity

abstract:
  Generalization of a known theorem to generate static, spherically symmetric
black-hole solutions in higher dimensional Lovelock gravity is presented.
Particular limits, such as Gauss-Bonnet (GB) and/or Einstein-Hilbert (EH) in
any dimension $N$ yield all the solutions known to date with an
energy-momentum. In our generalization, with special emphasis on the third
order Lovelock gravity, we have found two different class of solutions
characterized by the matter field parameter. Several particular cases are
studied and properties related to asymptotic behaviours are discussed. Our
general solution which covers topological black holes as well, splits naturally
into distinct classes such as Chern-Simon (CS) and Born-Infeld (BI) in higher
dimensions. The occurence of naked singularities are studied and it is found
that, the spacetime behaves nonsingular in quantum mechanical sense when it is
probed with quantum test particles. The theorem is extended to cover
Bertotti-Robinson (BR) type solutions in the presence of the GB parameter
alone. Finally we prove also that extension of the theorem for a scalar-tensor
source of higher dimensions $(N>4)$ fails to work.


title:
Hierarchical Bayesian sparse image reconstruction with application to
  MRFM

abstract:
  This paper presents a hierarchical Bayesian model to reconstruct sparse
images when the observations are obtained from linear transformations and
corrupted by an additive white Gaussian noise. Our hierarchical Bayes model is
well suited to such naturally sparse image applications as it seamlessly
accounts for properties such as sparsity and positivity of the image via
appropriate Bayes priors. We propose a prior that is based on a weighted
mixture of a positive exponential distribution and a mass at zero. The prior
has hyperparameters that are tuned automatically by marginalization over the
hierarchical Bayesian model. To overcome the complexity of the posterior
distribution, a Gibbs sampling strategy is proposed. The Gibbs samples can be
used to estimate the image to be recovered, e.g. by maximizing the estimated
posterior distribution. In our fully Bayesian approach the posteriors of all
the parameters are available. Thus our algorithm provides more information than
other previously proposed sparse reconstruction methods that only give a point
estimate. The performance of our hierarchical Bayesian sparse reconstruction
method is illustrated on synthetic and real data collected from a tobacco virus
sample using a prototype MRFM instrument.


title: Colliding Wave Solutions in a Symmetric Non-metric Theory

abstract:
  A method is given to generate the non-linear interaction (collision) of
linearly polarized gravity coupled torsion waves in a non-metric theory.
Explicit examples are given in which strong mutual focussing of gravitational
waves containing impulsive and shock components coupled with torsion waves does
not result in a curvature singularity. However, the collision of purely torsion
waves displays a curvature singularity in the region of interaction.


title: The Serpens Molecular Cloud

abstract:
  The Serpens cloud has received considerable attention in the last years, in
particular the small region known as the Serpens cloud core where a plethora of
star formation related phenomena are found. This review summarizes our current
observational knowledge of the cloud, with emphasis on the core. Recent results
are converging to a distance for the cloud of ~ 230 +- 20 pc, an issue which
has been controversial over the years. We present the gas and dust properties
of the cloud core and describe its structure and appearance at different
wavelengths. The core contains a dense, very young, low mass stellar cluster
with more than 300 objects in all evolutionary phases, from collapsing gaseous
condensations to pre-main sequence stars. We describe the behaviour and spatial
distribution of the different stellar populations (mm cores, Classes 0, I and
II sources). The spatial concentration and the fraction number of Class 0/Class
I/Class II sources is considerably larger in the Serpens core than in any other
low mass star formation region, e.g. Taurus, Ophiuchus or Chamaeleon, as also
stated in different works. Appropriate references for coordinates and fluxes of
all Serpens objects are given. However, we provide for the first time a unified
list of all near-IR sources which have up to now been identified as members of
the Serpens core cluster; this list includes some members identified in this
review. A cross-reference table of the near-IR objects with optical, mid-IR,
submillimeter, radio continuum and X-ray surces is also provided. A simple
analysis has allowed us to identify a sample of ~ 60 brown dwarf candidates
among the 252 near-IR objects; some of them show near-IR excesses and,
therefore, they constitute an attractive sample to study very young substellar
objects. (abridged)


title: Maximum Parsimony on Subsets of Taxa

abstract:
  In this paper we investigate mathematical questions concerning the
reliability (reconstruction accuracy) of Fitch's maximum parsimony algorithm
for reconstructing the ancestral state given a phylogenetic tree and a
character. In particular, we consider the question whether the maximum
parsimony method applied to a subset of taxa can reconstruct the ancestral
state of the root more accurately than when applied to all taxa, and we give an
example showing that this indeed is possible. A surprising feature of our
example is that ignoring a taxon closer to the root improves the reliability of
the method. On the other hand, in the case of the two-state symmetric
substitution model, we answer affirmatively a conjecture of Li, Steel and Zhang
which states that under a molecular clock the probability that the state at a
single taxon is a correct guess of the ancestral state is a lower bound on the
reconstruction accuracy of Fitch's method applied to all taxa.


title:
Manganese-diffusion-induced n-doping in semiconductor structures
  containing Ga(Mn)As layers

abstract:
  Semiconductor structures using ferromagnetic semiconductors as spin injectors
are promising systems for future spintronic devices. Here, we present combined
photoluminescence (PL) and time-resolved magneto-optical experiments of a
nominally nonmagnetic quantum well(QW) separated by a thin barrier from a
ferromagnetic Ga(Mn)As layer. Due to the partial quenching of the PL, we
conclude that there is a significant Mn backdiffusion into the QW. Moreover,
from the time-resolved measurements, we infer that the Mn leads to n-type
doping within the QW, and, in addition, strongly increases the electron spin
dephasing time.


title:
Behavior of the reflection function of a plane-parallel medium for
  directions of incidence and reflection tending to horizontal directions

abstract:
  The atmospheres of (exo) planets and moons, as well as reflection nebulae,
contain in general independently scattering particles in random orientation and
are often supposed to be plane-parallel. Relations are presented for the
(bidirectional) reflection function and several related functions of such a
medium in case the directions of incidence and reflection both tend to
horizontal directions. The results are quite general. The medium may be
semi-infinite or finite, with or without a reflecting surface underneath, and
vertically homogeneous or inhomogeneous. Some approximative formulae for the
reflection function of a plane-parallel medium with independently scattering
particles in random orientation, including Lambert's law, may be very
inaccurate if the directions of incidence and reflection are both nearly
horizontal.


title: Raccord sur les espaces de Berkovich

abstract:
  Let $X$ be a Berkovich space over a valued field. We prove that every finite
group is a Galois group over $\Ms(B)(T)$, where $\Ms(B)$ is the field of
meromorphic functions over a part $B$ of $X$ satisfying some conditions. This
gives a new geometric proof that every finite group is a Galois group over
$K(T)$, where $K$ is a complete valued field with non-trivial valuation.
  Then we switch to Berkovich spaces over ${\bf Z}$ and use a similar strategy
to give a new proof of the following theorem by D. Harbater: every finite group
is a Galois group over a field of convergent arithmetic power series. We
believe our proof to be more geometric and elementary that the original one. We
have included the necessary background on Berkovich spaces over ${\bf Z}$.


title:
A comparison of chemistry and dust cloud formation in ultracool dwarf
  model atmospheres

abstract:
  The atmospheres of substellar objects contain clouds of oxides, iron,
silicates, and other refractory condensates. Water clouds are expected in the
coolest objects. The opacity of these `dust' clouds strongly affects both the
atmospheric temperature-pressure profile and the emergent flux. Thus any
attempt to model the spectra of these atmospheres must incorporate a cloud
model. However the diversity of cloud models in atmospheric simulations is
large and it is not always clear how the underlying physics of the various
models compare. Likewise the observational consequences of different modeling
approaches can be masked by other model differences, making objective
comparisons challenging. In order to clarify the current state of the modeling
approaches, this paper compares five different cloud models in two sets of
tests. Test case 1 tests the dust cloud models for a prescribed L, L--T, and
T-dwarf atmospheric (temperature T, pressure p, convective velocity
vconv)-structures. Test case 2 compares complete model atmosphere results for
given (effective temperature Teff, surface gravity log g). All models agree on
the global cloud structure but differ in opacity-relevant details like grain
size, amount of dust, dust and gas-phase composition. Comparisons of synthetic
photometric fluxes translate into an modelling uncertainty in apparent
magnitudes for our L-dwarf (T-dwarf) test case of 0.25 < \Delta m < 0.875 (0.1
< \Delta m M 1.375) taking into account the 2MASS, the UKIRT WFCAM, the Spitzer
IRAC, and VLT VISIR filters with UKIRT WFCAM being the most challenging for the
models. (abr.)


title:
Magnetic mechanism of quasiparticle pairing in hole-doped cuprate
  superconductors

abstract:
  We have computed alpha^2F's for the hole-doped cuprates within the framework
of the one-band Hubbard model, where the full magnetic response of the system
is treated properly. The d-wave pairing weight alpha^2F_d is found to contain
not only a low energy peak due to excitations near (pi,pi) expected from
neutron scattering data, but to also display substantial spectral weight at
higher energies due to contributions from other parts of the Brillouin zone as
well as pairbreaking ferromagnetic excitations at low energies. The resulting
solutions of the Eliashberg equations yield transition temperatures and gaps
comparable to the experimentally observed values, suggesting that magnetic
excitations of both high and low energies play an important role in providing
the pairing glue in the cuprates.


title:
An N=2 worldsheet approach to D-branes in bihermitian geometries: I.
  Chiral and twisted chiral fields

abstract:
  We investigate N=(2,2) supersymmetric nonlinear sigma-models in the presence
of a boundary. We restrict our attention to the case where the bulk geometry is
described by chiral and twisted chiral superfields corresponding to a
bihermitian bulk geometry with two commuting complex structures. The D-brane
configurations preserving an N=2 worldsheet supersymmetry are identified.
Duality transformations interchanging chiral for twisted chiral fields and vice
versa while preserving all supersymmetries are explicitly constructed. We
illustrate our results with various explicit examples such as the WZW-model on
the Hopf surface S3xS1. The duality transformations provide e.g new examples of
coisotropic A-branes on Kahler manifolds (which are not necessarily
hyper-Kahler). Finally, by dualizing a chiral and a twisted chiral field to a
semi-chiral multiplet, we initiate the study of D-branes in bihermitian
geometries where the cokernel of the commutator of the complex structures is
non-empty.


title:
Quantum control and manipulation of donor electrons in Si-based quantum
  computing

abstract:
  Doped Si is a promising candidate for quantum computing due to its
scalability properties, long spin coherence times, and the astonishing progress
on Si technology and miniaturization in the last few decades. This proposal for
a quantum computer ultimately relies on the quantum control of electrons bound
to donors near a Si/barrier (e.g. SiO2) interface. We address here several
important issues and define critical parameters that establish the conditions
that allow the manipulation of donor electrons in Si by means of external
electric and magnetic fields.


title:
Long-distance quantum communication with "polarization" maximally
  entangled states

abstract:
  We propose a scheme for long-distance quantum communication where the
elementary entanglement is generated through two-photon interference and
quantum swapping is performed through one-photon interference. Local
"polarization" maximally entangled states of atomic ensembles are generated by
absorbing a single photon from on-demand single-photon sources. This scheme is
robust against phase fluctuations in the quantum channels, moreover speeds up
long-distance high-fidelity entanglement generation rate.


title:
Study of nonequilibrium Kondo phenomenon via nonperturbative dynamical
  theory

abstract:
  We develop a nonperturbative dynamical theory (NDT) to calculate the retarded
Green's function under nonequilibrium conditions. The NDT is particularly
useful for treating nonequilibrium transport problems in systems with strong
correlation. We apply our NDT to the well-known single-impurity Anderson model
at equilibrium to determine its feasibility. We then apply it to a
nonequilibrium transport problem in a system with Kondo coupling. An Anderson
model with two metallic reservoirs is studied to understand the phenomenon of
Kondo-peak splitting in a single-electron transistor of mesoscopic size. We
calculate the nonequilibrium retarded Green's function by using the NDT and
analyze it in the atomic limit, where the novel coherent phenomenon manifested
only under nonequilibrium conditions can be described in an analytical manner.
We finally construct a self-consistent loop to calculate the retarded Green's
function and present the results for spectral density and differential
conductance obtained by the self-consistent method. Our results explain all the
features of Kondo-peak splitting observed in experiments. One remarkable
conclusion is that Kondo-peak splitting is not the splitting of a conventional
Kondo peak, but the splitting of a novel coherent peak created under
nonequilibrium steady-state conditions.


title:
Twisted Pseudodifferential Calculus and Application to the Quantum
  Evolution of Molecules

abstract:
  We construct an abstract pseudodifferential calculus with operator-valued
symbol, adapted to the treatment of Coulomb-type interactions, and we apply it
to study the quantum evolution of molecules in the Born-Oppenheimer
approximation, in the case where the electronic Hamiltonian admits a local gap
in its spectrum. In particular, we show that the molecular evolution can be
reduced to the one of a system of smooth semiclassical operators, the symbol of
which can be computed explicitely. In addition, we study the propagation of
certain wave packets up to long time values of Ehrenfest order. (This work has
been accepted for publication as part of the Memoirs of the American
Mathematical Society and will be published in a future volume.)


title: Nonlinear Instability of kink oscillations due to shear motions

abstract:
  First results from a high-resolution three-dimensional nonlinear numerical
study of the kink oscillation are presented. We show in detail the development
of a shear instability in an untwisted line-tied magnetic flux tube. The
instability produces significant deformations of the tube boundary. An extended
transition layer may naturally evolve as a result of the shear instability at a
sharp transition between the flux tube and the external medium. We also discuss
the possible effects of the instability on the process of resonant absorption
when an inhomogeneous layer is included in the model. One of the implications
of these results is that the azimuthal component of the magnetic field of a
stable flux tube in the solar corona, needed to prevent the shear instability,
is probably constrained to be in a very specific range.


title:
Energy-Scale Calibration of the Suzaku X-Ray Imaging Spectrometer Using
  the Checker Flag Charge Injection Technique in Orbit

abstract:
  The X-ray Imaging Spectrometer (XIS) on board the Suzaku satellite is an
X-ray CCD camera system that has superior performance such as a low background,
high quantum efficiency, and good energy resolution in the 0.2-12 keV band.
Because of the radiation damage in orbit, however, the charge transfer
inefficiency (CTI) has increased, and hence the energy scale and resolution of
the XIS has been degraded since the launch of July 2005. The CCD has a charge
injection structure, and the CTI of each column and the pulse-height dependence
of the CTI are precisely measured by a checker flag charge injection (CFCI)
technique. Our precise CTI correction improved the energy resolution from 230
eV to 190 eV at 5.9 keV in December 2006. This paper reports the CTI
measurements with the CFCI experiments in orbit. Using the CFCI results, we
have implemented the time-dependent energy scale and resolution to the Suzaku
calibration database.


title:
Simplicity and scaling - size of a real polymer in three (or any)
  dimensions

abstract:
  We examine the scaling of the linear dimension of the system size of a real
polymer solution at constant excess free energy and in two different spacial
dimensionalities, d=d0 and d=d1. Standard results for the functional form of
the excess free energy lead to the conclusion that the scaling exponent nu(d)
satisfies nu(d0) - nu(d1) = 1/d0 - 1/d1. Taking the critical dimensionality as
a point of reference (nu(4)=1/2) gives a scaling exponent nu(d) = 1/4 +1/d, in
agreement with the accepted result for two-dimensions (nu(2) = 3/4) and the
first term in the epsilon (d-4) expansion. For the unsolved case of three
dimensions it predicts nu(3)=7/12. Several simplifying features of this result
are pointed out.


title: NNLO Computational Techniques: the Cases H -> gamma gamma and H -> g g

abstract:
  A large set of techniques needed to compute decay rates at the two-loop level
are derived and systematized. The main emphasis of the paper is on the two
Standard Model decays H -> gamma gamma and H -> g g. The techniques, however,
have a much wider range of application: they give practical examples of general
rules for two-loop renormalization; they introduce simple recipes for handling
internal unstable particles in two-loop processes; they illustrate simple
procedures for the extraction of collinear logarithms from the amplitude. The
latter is particularly relevant to show cancellations, e.g. cancellation of
collinear divergencies. Furthermore, the paper deals with the proper treatment
of non-enhanced two-loop QCD and electroweak contributions to different
physical (pseudo-)observables, showing how they can be transformed in a way
that allows for a stable numerical integration. Numerical results for the
two-loop percentage corrections to H -> gamma gamma, g g are presented and
discussed. When applied to the process pp -> gg + X -> H + X, the results show
that the electroweak scaling factor for the cross section is between -4 % and +
6 % in the range 100 GeV < Mh < 500 GeV, without incongruent large effects
around the physical electroweak thresholds, thereby showing that only a
complete implementation of the computational scheme keeps two-loop corrections
under control.


title: Time-dependent models of dense PDRs with complex molecules

abstract:
  We present a study of the chemistry of a dense photon-dominated region (PDR)
using a time-dependent chemical model. Our major interest is to study the
spatial distribution of complex molecules such as hydrocarbons and
cyanopolyynes in the cool dense material bordering regions where star formation
has taken place. Our standard model uses a homogeneous cloud of density 2x10e4
cm-3 and temperature T=40 K, which is irradiated by a far-ultraviolet radiation
field of intermediate intensity, given by X=100. We find that over a range of
times unsaturated hydrocarbons (e.g., C2H, C4H, C3H2) have relatively high
fractional abundances in the more external layers of the PDR, whereas their
abundances in the innermost layers are several orders of magnitudes lower. On
the other hand, molecules that are typical of late-time chemistry are usually
more abundant in the inner parts of the PDR. We also present results for models
with different density, temperature, intensity of the radiation field and
initial fractional abundances. Our results are compared with both high- and
moderate-angular resolution observations of the Horsehead nebula. Our standard
model is partially successful in reproducing the observations. Additional
models run with different physical parameters are able to reproduce the
abundance of many of the observed molecules, but we do not find a single model
that fits all the observations at the same time. We discuss the suitability of
a time-dependent model of a dense PDR such as ours as an estimator of the age
of a PDR, provided that enough observational data exist.


title: The Radio Cerenkov Technique for Ultra-High Energy Neutrino Detection

abstract:
  I review the status of the Radio Cerenkov detection technique in searches for
ultra-high energy (UHE) neutrinos of cosmic origin. After outlining the physics
motivations for UHE neutrino searches, I give an overview of the status of
current and proposed experiments in the field.


title: On Cosmic Rays Sources

abstract:
  Study of astrophysical objects with strong dipolar magnetic fields show that
the spectrum of the accelerated charged particles leaving the sources has a
power law form with exponent -2.5, where the exponent is calculated on purely
geometrical bases and is independent on the particle species.


title:
Performance of a fine-sampling electromagnetic calorimeter prototype in
  the energy range from 1 to 19 GeV

abstract:
  The fine-sampling electromagnetic calorimeter prototype has been
experimentally tested using the 1-19 GeV/c tagged beams of negatively charged
particles at the U70 accelerator at IHEP, Protvino. The energy resolution
measured by electrons is Delta{E}/E=2.8%/\sqrt{E} + 1.3%. The position
resolution for electrons is Delta{x}=3.1 + 15.4/sqrt{E} mm in the center of the
cell. The lateral non-uniformity of the prototype energy response to electrons
and MIPs has turned out to be negligible. Obtained experimental results are in
a good agreement with Monte-Carlo simulations.


title:
Decompositions of the tensor products of irreducible sl(2)-modules in
  characteristic 3

abstract:
  We completely describe the decompositions (into indecomposable submodules) of
the tensor products of irreducible sl(2)-modules in characteristic 3. The
answer resembles analogous decompositions for the Lie superalgebra sl(1|1).


title: A detailed analysis of structure growth in $f(R)$ theories of gravity

abstract:
  We investigate the connection between dark energy and fourth order gravity by
analyzing the behavior of scalar perturbations around a
Friedmann-Robertson-Walker background. The evolution equations for scalar
perturbation are derived using the covariant and gauge invariant approach and
applied to two widely studied $f(R)$ gravity models. The structure of the
general fourth order perturbation equations and the analysis of scalar
perturbations lead to the discovery of a characteristic signature of fourth
order gravity in the matter power spectrum, the details of which have not seen
before in other works in this area. This could provide a crucial test for
fourth order gravity on cosmological scales.


title: A hypergraph regularity method for generalised Turan problems

abstract:
  We describe a method that we believe may be foundational for a comprehensive
theory of generalised Turan problems. The cornerstone of our approach is a
quasirandom counting lemma for quasirandom hypergraphs, which extends the
standard counting lemma by not only counting copies of a particular
configuration but also showing that these copies are evenly distributed. We
demonstrate the power of the method by proving a conjecture of Mubayi on the
codegree threshold of the Fano plane, that any 3-graph on n vertices for which
every pair of vertices is contained in more than n/2 edges must contain a Fano
plane, for n sufficiently large. For projective planes over fields of odd size
q we show that the codegree threshold is between n/2-q+1 and n/2, but for
PG_2(4) we find the somewhat surprising phenomenon that the threshold is less
than (1/2-c)n for some small c>0. We conclude by setting out a program for
future developments of this method to tackle other problems.


title:
Cosmic Parallax: possibility of detecting anisotropic expansion of the
  universe by very accurate astrometry measurements

abstract:
  Refined astrometry measurements allow us to detect large-scale deviations
from isotropy through real-time observations of changes in the angular
separation between sources at cosmic distances. This "cosmic parallax" effect
is a powerful consistency test of FRW metric and may set independent
constraints on cosmic anisotropy. We apply this novel general test to LTB
cosmologies with off-center observers and show that future satellite missions
such as Gaia might achieve accuracies that would put limits on the off-center
distance which are competitive with CMB dipole constraints.


title: RCF1: Theories of PR Maps and Partial PR Maps

abstract:
  We give to the categorical theory PR of Primitive Recursion a logically
simple, algebraic presentation, via equations between maps, plus one genuine
Horner type schema, namely Freyd's uniqueness of the initialised iterated. Free
Variables are introduced - formally - as another names for projections.
Predicates \chi: A -> 2 admit interpretation as (formal) Objects {A|\chi} of a
surrounding Theory PRA = PR + (abstr) : schema (abstr) formalises this
predicate abstraction into additional Objects. Categorical Theory P\hat{R}_A
\sqsupset PR_A \sqsupset PR then is the Theory of formally partial PR-maps,
having Theory PR_A embedded. This Theory P\hat{R}_A bears the structure of a
(still) diagonal monoidal category. It is equivalent to "the" categorical
theory of \mu-recursion (and of while loops), viewed as partial PR maps. So the
present approach to partial maps sheds new light on Church's Thesis, "embedded"
into a Free-Variables, formally variable-free (categorical) framework.


title: School evasion: A hard reality

abstract:
  The present work has as objective to show the profile of students who
abandoned the studies in a High School, located in Sao Joao de Meriti city,
municipal district of Rio de Janeiro state, by means of statistical analysis.
The presented indices portray an undesirable reality with almost 20% school
evasion, beyond showing that more the half of the students not standing in
adequate series. Keywords: School evasion, High Schools, Educational
Statistics.


title:
Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski
  space

abstract:
  For a relativistic system of two scalar particles, we find the Bethe-Salpeter
amplitude in Minkowski space and use it to compute the electromagnetic form
factor. The comparison with Euclidean space calculation shows that the Wick
rotation in the form factor integral induces errors which increase with the
momentum transfer Q^2. At JLab domain (Q^2=10 GeV^2/c^2), they are about 30%.
Static approximation results in an additional and more significant error. On
the contrary, the form factor calculated in light-front dynamics is almost
indistinguishable from the Minkowski space one.


title: Dissipation induced Tonks-Girardeau gas in an optical lattice

abstract:
  We present a theoretical investigation of a lattice Tonks-gas that is created
by inelastic, instead of elastic interactions. An analytical calculation shows
that in the limit of strong two-body losses, the dynamics of the system is
effectively that of a Tonks gas. We also derive an analytic expression for the
effective loss rate. We find good agreement between these analytical results
and results from a rigorous numerical calculation. The Tonks character of the
gas is visible both in a reduced effective loss rate and in the momentum
distribution of the gas.


title:
Many-body approach to low-lying collective excitations in a BEC
  approaching collapse

abstract:
  An approximate many-body theory incorporating two-body correlations has been
employed to calculate low-lying collective multipole frequencies in a
Bose-Einstein condensate containing $A$ bosons, for different values of the
interaction parameter $\lambda=\frac{Aa_{s}}{a_{ho}}$. Significant difference
from the variational estimate of the Gross-Pitaevskii equation has been found
near the collapse region. This is attributed to two-body correlations and
finite range attraction of the realistic interatomic interaction. A large
deviation from the hydrodynamic model is also seen for the second monopole
breathing mode and the quadrupole mode for large positive $\lambda$.


title:
Understanding and characterizing nestedness in mutualistic bipartite
  networks

abstract:
  In this work we present a dynamical model that succesfully describes the
organization of mutualistic ecological systems. The main characteristic of
these systems is the nested structure of the bipartite adjacency matrix
describing their interactions. We introduce a nestedness coefficient, as an
alternative to the Atmar and Patterson temperature, commonly used to measure
the nestedness degree of the network. This coefficient has the advantage of
being based on the robustness of the ecological system and it is not only
describing the ordering of the bipartite matrix but it is also able to tell the
difference, if any, between the degree of organization of each guild.


title: Sports scheduling for not all pairs of teams

abstract:
  We consider the following sports scheduling problem. Consider $2n$ teams in a
sport league. Each pair of teams must play exactly one match in $2n-1$ days.
That is, $n$ games are held simultaneously in a day. We want to make a schedule
which has $n(2n-1)$ games for $2n-1$ days.
  When we make a schedule, the schedule must satisfy a constraint according to
the HAP table, which designates a home game or an away game for each team and
each date. Two teams cannot play against each other unless one team is assigned
to a home game and the other team is assigned to an away game. Recently, D.
Briskorn proposed a necessary condition for a HAP table to have a proper
schedule. And he proposed a conjecture that such a condition is also
sufficient. That is, if a solution to the linear inequalities exists, they must
have an integral solution. In this paper, we rewrite his conjecture by using
perfect matchings. We consider a monoid in the affine space generated by
perfect matchings. In terms of the Hilbert basis of such a monoid, the problem
is naturally generalized to a scheduling problem for not all pairs of teams
described by a regular graph. In this paper, we show a regular graph such that
the corresponding linear inequalities have a solution but do not have any
integral solution. Moreover we discuss for which regular graphs the statement
generalizing the conjecture holds.


title: Parking functions and vertex operators

abstract:
  We introduce several associative algebras and series of vector spaces
associated to these algebras. Using lattice vertex operators, we obtain
dimension and character formulae for these spaces. In particular, we a series
of representations of symmetric groups which turn out to be isomorphic to
parking function modules. We also construct series of vector spaces whose
dimensions are Catalan numbers and Fuss--Catalan numbers respectively.
Conjecturally, these spaces are related to spaces of global sections of vector
bundles on (zero fibres of) Hilbert schemes and representations of rational
Cherednik algebras.


title: Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory

abstract:
  Four-dimensional field equations are determined for perturbations of the
quotient seven-sphere size and squashing parameter in eleven-dimensional
supergravity. The quotient seven-sphere is a S^1-bundle over the CP^3 which is
regarded as a S^2-fibration over the base S^4. By analyzing the AdS_4
supergravity scalar potential, the holographic supersymmetric(or
nonsupersymmetric) renormalization group(RG) flow from N=1(or N=0) SO(5) x
U(1)-invariant UV fixed point to N=6(or N=0) SU(4)_R x U(1)-invariant IR fixed
point is obtained. The three-dimensional boundary theories are described by
superconformal Chern-Simons matter theories and a dual operator corresponding
to this RG flow is described.


title:
Role of the target orientation angle and orbital angular momentum in the
  evaporation residue production

abstract:
  The influence of the orientation angles of the target nucleus symmetry axis
relative to the beam direction on the production of the evaporation residues is
investigated for the $^{48}$Ca+$^{154}$Sm reaction as a function of the beam
energy. At low energies ($E_{\rm c.m.}<$137 MeV), the yield of evaporation
residues is observed only for collisions with small orientation angles
($\alpha_T<45^0$).
  At large energies (about $E_{\rm c.m.}=$140--180 MeV) all the orientation
angles $\alpha_T$ can contribute to the evaporation residue cross section
$\sigma_{ER}$ in the 10--100 mb range, and at $E_{c.m.}>$180 MeV $\sigma_{ER}$
ranges around 0.1--10 mb because the fission barrier for a compound nucleus
decreases by increasing its excitation energy and angular momentum.


title: Ultra-High-Energy Cosmic Rays from the Radio Lobes of AGNs

abstract:
  In the past year, the HiRes and Auger collaborations have reported the
discovery of a high-energy cutoff in the ultra-high energy cosmic-ray (UHECR)
spectrum, and an apparent clustering of the highest energy events towards
nearby active galactic nuclei (AGNs). Consensus is building that such $\sim
10^{19}$--$10^{20}$ eV particles are accelerated within the radio-bright lobes
of these sources, but it is not yet clear how this actually happens. In this
paper, we report (to our knowledge) the first treatment of stochastic particle
acceleration in such environments from first principles, showing that energies
$\sim 10^{20}$ eV are reached in $\sim 10^6$ years for protons. However, our
findings reopen the question regarding whether the high-energy cutoff is due
solely to propagation effects, or whether it does in fact represent the maximum
energy permitted by the acceleration process itself.


title: Water in the Near IR spectrum of Comet 8P/Tuttle

abstract:
  High resolution spectra of Comet 8P/Tuttle were obtained in the frequency
range 3440.6-3462.6 cm-1 on 3 January 2008 UT using CGS4 with echelle grating
on UKIRT. In addition to recording strong solar pumped fluorescent (SPF) lines
of H2O, the long integration time (152 miutes on target) enabled eight weaker
H2O features to be assigned, most of which had not previously been identified
in cometary spectra. These transitions, which are from higher energy upper
states, are similar in character to the so-called 'SH' lines recorded in the
post Deep Impact spectrum of comet Tempel 1 (Barber et al., 2007). We have
identified certain characteristics that these lines have in common, and which
in addition to helping to define this new class of cometary line, give some
clues to the physical processes involved in their production. Finally, we
derive an H2O rotational temperature of 62+/- K and a water production rate of
(1.4+/-0.3)E28 molecules/s.


title:
Mathematical and computer tools of discrete dynamic modeling and
  analysis of complex systems in control loop

abstract:
  We present a method of discrete modeling and analysis of multilevel dynamics
of complex large-scale hierarchical dynamic systems subject to external dynamic
control mechanism. Architectural model of information system supporting
simulation and analysis of dynamic processes and development scenarios
(strategies) of complex large-scale hierarchical systems is also proposed.


title:
Quantum teleportation and entanglement swapping with linear optics logic
  gates

abstract:
  We report on the usage of a linear optics phase gate for distinguishing all
four Bell states simultaneously in a quantum teleportation and entanglement
swapping protocol. This is demonstrated by full state tomography of the one and
two qubit output states of the two protocols, yielding average state fidelities
of about 0.83 and 0.77, respectively. In addition, the performance of the
teleportation channel is characterised by quantum process tomography. The non
classical properties of the entanglement swapping output states are further
confirmed by the violation of a CHSH-type Bell inequality of 2.14 on average.


title: Modeling and Control with Local Linearizing Nadaraya Watson Regression

abstract:
  Black box models of technical systems are purely descriptive. They do not
explain why a system works the way it does. Thus, black box models are
insufficient for some problems. But there are numerous applications, for
example, in control engineering, for which a black box model is absolutely
sufficient. In this article, we describe a general stochastic framework with
which such models can be built easily and fully automated by observation.
Furthermore, we give a practical example and show how this framework can be
used to model and control a motorcar powertrain.


title: In whose mind is Mathematics an "a priori cognition"?

abstract:
  According to the philosopher Kant, Mathematics is an "a priori cognition".
Kant's assumption, together with the unsolvability of Hilbert's 10th problem,
implies an astonishing result.


title: Top quark mass measurement with ATLAS

abstract:
  The top quark mass measurement with ATLAS in the lepton plus jets channel is
summarized from the perspective of the early data. Using the invariant mass of
the three jets arising from the hadronic side as the estimator of the top quark
mass, a precision of the order of 1 to 3.5 GeV on the top quark mass
measurement should be achievable, assuming a jet energy scale uncertainty of 1
to 5%.


title: Higgs Production via Gluon-Induced Weak Boson Fusion

abstract:
  We present a calculation that allows for an estimation of the NNLO
contributions to the Higgs production in the weak boson fusion channel. A
possible deterioration of this important channel for the Higgs discoveries at
the LHC can be ruled out by this calculation due to the small remaining cross
section after the weak boson cuts.


title: Self-replicating functions and the renormalization group

abstract:
  The partial success of the block renormalization group techniques is analysed
in terms of a functional operator which formalizes the idea of
self-replicability of a system in terms of smaller blocks which are similar to
the original. The mathematical properties of the fixed points of this
transformation are analyzed.


title:
Comments on An implicit-Chebyshev pseudospectral method for the effect
  of radiation on power-law fluid past a vertical plate immersed in a porous
  medium, by N.S. Elgazery,CNSNS,2008

abstract:
  In the above paper the author treats the boundary layer flow of an
electrically conducting, non-Newtonian fluid along a vertical plate embedded in
a Darcy-Brinkman-Forchheimer porous medium. The fluid is under the action of a
constant transverse magnetic field and the radiation is taken into account in
the energy equation. The boundary layer equations are transformed into ordinary
ones and subsequently are solved numerically. However, there is a fundamental
error in this paper which is presented below:


title: Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas

abstract:
  We show that strong inelastic interactions between bosons in one dimension
create a Tonks-Girardeau gas, much as in the case of elastic interactions. We
derive a Markovian master equation that describes the loss caused by the
inelastic collisions. This yields a loss rate equation and a dissipative
Lieb-Liniger model for short times. We obtain an analytic expression for the
pair correlation function in the limit of strong dissipation. Numerical
calculations show how a diverging dissipation strength leads to a vanishing of
the actual loss rate and renders an additional elastic part of the interaction
irrelevant.


title: Grassmannian Estimation

abstract:
  This paper discusses the family of distributions on the Grassmannian of the
linear span of r central gaussian vectors parametrized by the covariance
matrix. Our main result is an existence and uniqueness criterion for the
maximum likelihood estimate of a sample.


title:
Upsilonium Polarization as a Touchstone in Understanding the Parton
  Dynamics in QCD

abstract:
  In the framework of the $k_T$-factorization approach, the production of
Upsilon mesons at the Fermilab Tevatron is considered, and the comparisions of
calculated $p_T$-distributions and spin alignment parameter $\alpha$ with the
D0 experimental data are shown. We argue that measuring the double cross
section and the polarization of upsilonium states can serve as a crucial test
discriminating two competing theoretical approaches to parton dynamics in QCD.


title: Understanding Weil-Petersson curvature

abstract:
  A brief history of the investigation of the Weil-Petersson curvature and a
summary of Teichm\"{u}ller theory are provided. A report is presented on the
program to describe an intrinsic geometry with the Weil-Petersson metric and
geodesic-length functions. Formulas for the metric, covariant derivative and
formulas for the curvature tensor are presented. A discussion of methods is
included. Recent and new applications are sketched, including results from the
work of Liu-Sun-Yau, an examination of the Yamada model metric and a
description of Jacobi fields along geodesics to the boundary.


title:
Partially integrable dynamics of hierarchical populations of coupled
  oscillators

abstract:
  We consider oscillator ensembles consisting of subpopulations of identical
units, with a general heterogeneous coupling between subpopulations. Using the
Watanabe-Strogatz ansatz we reduce the dynamics of the ensemble to a relatively
small number of dynamical variables plus constants of motion. This reduction is
independent of the sizes of subpopulations and remains valid in the
thermodynamic limits. The theory is applied to the standard Kuramoto model and
to the description of two interacting subpopulations, where we report a novel,
quasiperiodic chimera state.