title:
Internal gravity waves near to the sources of disturbances at the
  critical modes of generation

abstract:
  The paper presents the description of the structure of the nearest field of
the internal gravity waves at the critical modes of their excitation. Studied
are the exact solutions both for the elevation component and the vertical
component of the speed describing the structure of the wave field in the direct
vicinity of the source. At that the single mode of the elevation is expressed
through the full elliptic integral of the first order, and the single mode of
the vertical speed - through McDonald function and the logarithmic functions.
As the result of the study it was possible to obtain expressions for the full
field representing the sum of the wave modes and expressed through the
derivatives of the gamma function. The obtained asymptotic and exact
representations of the solution allow to describe the critical modes of
generation of the internal gravity waves near to the sources of excitations -
for the wide ranges of the sources movement velocity .


title: The Infrared Afterglow of Supermassive Black Hole Mergers

abstract:
  We model the spectra and light curves of circumbinary accretion disks during
the time after the central black holes merge. The most immediate effect of this
merger is the dissipation of energy in the outer regions of the disk due to the
gravitational wave energy and linear momentum flux released at merger. This has
the effect of perturbing the gas in the disk, which then radiates the
dissipated energy over a cooling timescale, giving a characteristic infrared
signal for tens of thousands of years when the total black hole mass is M~10^8
M_sun. On the basis of a simple cosmological merger model in which a typical
supermassive black hole undergoes a few major mergers during its lifetime, we
predict that ~10^4-10^5 of these IR sources should be observable today and
discuss the possibility of identifying them with multi-wavelength surveys such
as SWIRE/XMM-LSS/XBootes and COSMOS.


title:
Blue Straggler Stars in Galactic Open Clusters and the effect of field
  star contamination

abstract:
  We investigate the distribution of Blue Straggler stars in the field of three
open star clusters. The main purpose is to highlight the crucial role played by
general Galactic disk fore-/back-ground field stars, which are often located in
the same region of the Color Magnitude Diagram as Blue Straggler stars. We
analyze photometry taken from the literature of 3 open clusters of
intermediate/old age rich in Blue Straggler stars, and which are projected in
the direction of the Perseus arm, and study their spatial distribution and the
Color Magnitude Diagram. As expected, we find that a large portion of the Blue
Straggler population in these clusters are simply young field stars belonging
to the spiral arm. This result has important consequences on the theories of
the formation and statistics of Blue Straggler stars in different population
environments: open clusters, globular clusters or dwarf galaxies. As previously
emphasized by many authors, a detailed membership analysis is mandatory before
comparing the Blue Straggler population in star clusters against theoretical
models. Moreover, these sequences of young field stars (blue plumes) are
potentially powerful tracers of Galactic structure which require further
consideration.


title: The Stellar Content of Obscured Galactic Giant HII Regions. VI: W51A

abstract:
  We present K-band spectra of newly born OB stars in the obscured Galactic
giant H II region W51A and ~ 0.8'' angular resolution images in the J, H and
K_S-bands. Four objects have been spectroscopically classified as O-type stars.
The mean spectroscopic parallax of the four stars gives a distance of 2.0 \pm
0.3 kpc (error in the mean), significantly smaller than the radio recombination
line kinematic value of 5.5 kpc or the values derived from maser propermotion
observations (6--8 kpc). The number of Lyman continuum photons from the
contribution of all massive stars (NLyc ~ 1.5 x 10^{50} s^{-1}) is in good
agreement with that inferred from radio recombination lines (NLyc = 1.3 x
10^{50} s^{-1}) after accounting for the smaller distance derived here.
  We present analysis of archival high angular resolution images (NAOS CONICA
at VLT and T-ReCS at Gemini) of the compact region W51 IRS2. The K_S--band
images resolve the infrared source IRS~2 indicating that it is a very young
compact HII region. Sources IRS2E was resolved into compact cluster (within 660
AU of projected distance) of 3 objects, but one of them is just bright extended
emission. W51d1 and W51d2 were identified with compact clusters of 3 objects
(maybe 4 in the case of W51d1) each one. Although IRS~2E is the brightest
source in the K-band and at 12.6 \micron, it is not clearly associated with a
radio continuum source. Our spectrum of IRS~2E shows, similar to previous work,
strong emission in Br$\gamma$ and HeI, as well as three forbidden emission
lines of FeIII and emission lines of molecular hydrogen (H_2) marking it as a
massive young stellar object.


title:
Interstellar Extinction Law toward the Galactic Center II: V, J, H, and
  Ks Bands

abstract:
  We have determined the ratios of total to selective extinction directly from
observations in the optical V band and near-infrared J band toward the Galactic
center. The OGLE (Optical Gravitational Lensing Experiment) Galactic bulge
fields have been observed with the SIRIUS camera on the IRSF telescope, and we
obtain A(V)/E(V-J)=1.251+-0.014 and A(J)/E(V-J)=0.225+-0.007. From these
ratios, we have derived A(J)/A(V) = 0.188+-0.005; if we combine A(J)/A(V) with
the near-infrared extinction ratios obtained by Nishiyama et al. for more
reddened fields near the Galactic center, we get A(V) : A(J) : A(H) : A(Ks) = 1
: 0.188 : 0.108 : 0.062, which implies steeply declining extinction toward the
longer wavelengths. In particular, it is striking that the Ks band extinction
is \approx 1/16 of the visual extinction A(V) much smaller than one tenth of
A(V) so far employed.


title:
Hybrid viscosity and the magnetoviscous instability in hot,
  collisionless accretion disks

abstract:
  We aim to illustrate the role of hot protons in enhancing the
magnetorotational instability (MRI) via the ``hybrid'' viscosity, which is due
to the redirection of protons interacting with static magnetic field
perturbations, and to establish that it is the only relevant mechanism in this
situation. It has recently been shown by Balbus \cite{PBM1} and Islam & Balbus
\cite{PBM11} using a fluid approach that viscous momentum transport is key to
the development of the MRI in accretion disks for a wide range of parameters.
However, their results do not apply in hot, advection-dominated disks, which
are collisionless. We develop a fluid picture using the hybrid viscosity
mechanism, that applies in the collisionless limit. We demonstrate that viscous
effects arising from this mechanism can significantly enhance the growth of the
MRI as long as the plasma $\beta \gapprox 80$. Our results facilitate for the
first time a direct comparison between the MHD and quasi-kinetic treatments of
the magnetoviscous instability in hot, collisionless disks.


title: Linearly and Circularly Polarized Emission in Sagittarius A*

abstract:
  We perform general relativistic ray-tracing calculations of the transfer of
polarized synchrotron radiation through the relativistic accretion flow in
Sagittarius (Sgr) A*. Based on a two-temperature magneto-rotational-instability
(MRI) induced accretion mode, the birefringence effects are treated
self-consistently. By fitting the spectrum and polarization of Sgr A* from
millimeter to near-infrared bands, we are able to not only constrain the basic
parameters related to the MRI and the electron heating rate, but also limit the
orientation of the accretion torus. These constraints lead to unique
polarimetric images, which may be compared with future millimeter and
sub-millimeter VLBI observations. In combination with general relativistic MHD
simulations, the model has the potential to test the MRI with observations of
Sgr A*.


title:
The sensitivity of the next generation of lunar Cherenkov observations
  to UHE neutrinos and cosmic rays

abstract:
  We present simulation results for the detection of ultra-high energy (UHE)
cosmic ray (CR) and neutrino interactions in the Moon by radio-telescopes. We
simulate the expected radio signal at Earth from such interactions, expanding
on previous work to include interactions in the sub-regolith layer for single
dish and multiple telescope systems. For previous experiments at Parkes,
Goldstone, and Kalyazin we recalculate the sensitivity to an isotropic flux of
UHE neutrinos. Our predicted sensitivity for future experiments using the
Australia Telescope Compact Array (ATCA) and the Australian SKA Pathfinder
(ASKAP) indicate these instruments will be able to detect the more optimistic
UHE neutrino flux predictions, while the Square Kilometre Array (SKA) will also
be sensitive to all bar one prediction of a diffuse `cosmogenic', or `GZK',
neutrino flux.
  Current uncertainties concerning the structure and roughness of the lunar
surface prevents an accurate calculation of the sensitivity of the lunar
Cherenkov technique for UHE cosmic ray astronomy at high frequencies. However,
below 200 MHz we find that the proposed SKA low-frequency aperture array should
be able to detect events above 56 EeV at a rate about 30 times that of the
current Pierre Auger Observatory. This would allow directional analysis of UHE
cosmic rays, and investigation of correlations with putative cosmic ray source
populations, to be conducted with very high statistics.


title:
Distributed Sensor Localization in Random Environments using Minimal
  Number of Anchor Nodes

abstract:
  The paper develops DILOC, a \emph{distributive}, \emph{iterative} algorithm
that locates M sensors in $\mathbb{R}^m, m\geq 1$, with respect to a minimal
number of m+1 anchors with known locations. The sensors exchange data with
their neighbors only; no centralized data processing or communication occurs,
nor is there centralized knowledge about the sensors' locations. DILOC uses the
barycentric coordinates of a sensor with respect to its neighbors that are
computed using the Cayley-Menger determinants. These are the determinants of
matrices of inter-sensor distances. We show convergence of DILOC by associating
with it an absorbing Markov chain whose absorbing states are the anchors. We
introduce a stochastic approximation version extending DILOC to random
environments when the knowledge about the intercommunications among sensors and
the inter-sensor distances are noisy, and the communication links among
neighbors fail at random times. We show a.s. convergence of the modified DILOC
and characterize the error between the final estimates and the true values of
the sensors' locations. Numerical studies illustrate DILOC under a variety of
deterministic and random operating conditions.


title:
Dark energy and moduli stabilization of extra dimensions in M^{1+3}xT^2
  spacetime

abstract:
  Recently, it was found by Greene and Levin that the Casimir energy of certain
combinations of massless and massive fields in space with extra dimensions play
a crucial role in the accelerated expansion of the late-time universe and
therefore it could serve as a candidate for the dark energy. It also provides a
mechanism in stabilizing the volume moduli of extra dimensions. However, the
shape moduli of the extra dimensions were never taken into account in the
previous work. We therefore study the stabilization mechanism for both volume
and shape moduli due to the Casimir energy in ${\mathbb M}^{1+3} \times
{\mathbb T}^{2}$. The result of our study shows that the previously known local
minimum is a saddle point. It is unstable to the perturbations in the direction
of the shape moduli. The new stable local minima stabilizes all the moduli and
drives the accelerating expansion of the universe. The cosmological dynamics
both in the bulk and the radion pictures are derived and simulated. The
equations of state for the Casimir energy in a general torus are derived. Shear
viscosity in extra dimensions induced by the Casimir density in the late times
is identified and calculated, it is found to be proportional to the Hubble
constant.


title: Berry Curvature in Graphene: A New Approach

abstract:
  In the present paper we have directly computed the Berry curvature terms
relevant for Graphene in the presence of an \textit{inhomogeneous} lattice
distortion. We have employed the generalized Foldy Wouthuysen framework,
developed by some of us \cite{ber0,ber1,ber2}. We show that a non-constant
lattice distortion leads to a valley-orbit coupling which is responsible to a
valley-Hall effect. This is similar to the valley-Hall effect induced by an
electric field proposed in \cite{niu2} and is the analogue of the spin-Hall
effect in semiconductors \cite{MURAKAMI, SINOVA}. Our general expressions for
Berry curvature, for the special case of homogeneous distortion, reduce to the
previously obtained results \cite{niu2}. We also discuss the Berry phase in the
quantization of cyclotron motion.


title: Neutron- and muon-induced background in underground physics experiments

abstract:
  Background induced by neutrons in deep underground laboratories is a critical
issue for all experiments looking for rare events, such as dark matter
interactions or neutrinoless 2-beta decay. Neutrons can be produced either by
natural radioactivity, via spontaneous fission or (alpha,n) reactions, or by
interactions initiated by high-energy cosmic rays. In all underground
experiments, Monte Carlo simulations of neutron background play a crucial role
for the evaluation of the total background rate and for the optimization of
rejection strategies. The Monte Carlo methods that are commonly employed to
evaluate neutron-induced background and to optimize the experimental setup, are
reviewed and discussed. Focus is given to the issue of reliability of Monte
Carlo background estimates.


title: Dynamical kickback and non commuting impurities in a spin chain

abstract:
  In an interacting continuous time quantum walk, while the walker (the cursor)
is moving on a graph, computational primitives (unitary operators associated
with the edges) are applied to ancillary qubits (the register). The model with
one walker was originally proposed by R. Feynman, who thus anticipated many
features of the Continuous Time Quantum Walk (CTWQ) computing paradigm. In this
note we examine the behaviour of an interacting CTQW with two walkers and
examine the interaction of the walkers with noncommuting primitives. We endow
such a walk with a notion of trajectory, in the sense of sample path of an
associated Markov process, in order to use such notions as sojourn time and
first passage time as heuristic tools for gaining intuition about its
behaviour.


title: Getting ready for the micro-arcsecond era

abstract:
  As the title of this symposium implies, one of the aims is to examine the
future of astrometry as we move from an era in which thanks to the Hipparcos
Catalogue everyone has become familiar with milliarcsecond astrometry to an era
in which microarcsecond astrometry will become the norm. I will take this look
into the future by first providing an overview of present astrometric
programmes and how they fit together and then I will attempt to identify the
most promising future directions. In addition I discuss the important
conditions for the maximization of the scientific return of future large and
highly accurate astrometric catalogues; catalogue access and analysis tools,
the availability of sufficient auxiliary data and theoretical knowledge, and
the education of the future generation of astrometrists.


title:
Delay Analysis for Wireless Local Area Networks with Multipacket
  Reception under Finite Load

abstract:
  To date, most analysis of WLANs has been focused on their operation under
saturation condition. This work is an attempt to understand the fundamental
performance of WLANs under unsaturated condition. In particular, we are
interested in the delay performance when collisions of packets are resolved by
an exponential backoff mechanism. Using a multiple-vacation queueing model, we
derive an explicit expression for packet delay distribution, from which
necessary conditions for finite mean delay and delay jitter are established. It
is found that under some circumstances, mean delay and delay jitter may
approach infinity even when the traffic load is way below the saturation
throughput. Saturation throughput is therefore not a sound measure of WLAN
capacity when the underlying applications are delay sensitive. To bridge the
gap, we define safe-bounded-mean-delay (SBMD) throughput and
safe-bounded-delay-jitter (SBDJ) throughput that reflect the actual network
capacity users can enjoy when they require bounded mean delay and delay jitter,
respectively. The analytical model in this paper is general enough to cover
both single-packet reception (SPR) and multi-packet reception (MPR) WLANs, as
well as carrier-sensing and non-carrier-sensing networks. We show that the SBMD
and SBDJ throughputs scale super-linearly with the MPR capability of a network.
Together with our earlier work that proves super-linear throughput scaling
under saturation condition, our results here complete the demonstration of MPR
as a powerful capacity-enhancement technique for both delay-sensitive and
delay-tolerant applications.


title:
Asymptotic Behaviour of Random Vandermonde Matrices with Entries on the
  Unit Circle

abstract:
  Analytical methods for finding moments of random Vandermonde matrices with
entries on the unit circle are developed. Vandermonde Matrices play an
important role in signal processing and wireless applications such as direction
of arrival estimation, precoding, and sparse sampling theory, just to name a
few. Within this framework, we extend classical freeness results on random
matrices with independent, identically distributed (i.i.d.) entries and show
that Vandermonde structured matrices can be treated in the same vein with
different tools. We focus on various types of matrices, such as Vandermonde
matrices with and without uniform phase distributions, as well as generalized
Vandermonde matrices. In each case, we provide explicit expressions of the
moments of the associated Gram matrix, as well as more advanced models
involving the Vandermonde matrix. Comparisons with classical i.i.d. random
matrix theory are provided, and deconvolution results are discussed. We review
some applications of the results to the fields of signal processing and
wireless communications.


title:
A natural extension for the greedy beta-transformation with three
  deleted digits

abstract:
  We give an explicit expression for the invariant measure, absolutely
continuous with respect to the Lebesgue measure, of the greedy
beta-transformation with three deleted digits. We define a version of the
natural extension of the transformation to obtain this expression. We get that
the transformation is exact and weakly Bernoulli.


title: Random Vandermonde Matrices-Part II: Applications

abstract:
  This paper has been withdrawn by the authors, since it has been merged with
Part I (ID 0802.3570)


title: Running spectral index from shooting-star moduli

abstract:
  We construct an inflationary model that is consistent with both large
non-Gaussianity and a running spectral index. The scenario of modulated
inflation suggests that modulated perturbation can induce the curvature
perturbation with a large non-Gaussianity, even if the inflaton perturbation is
negligible. Using this idea, we consider a multi-field extension of the
modulated inflation scenario and examine the specific situation where different
moduli are responsible for the perturbation at different scales. We suppose
that the additional moduli (shooting-star moduli) is responsible for the
curvature perturbation at the earlier inflationary epoch and it generates the
fluctuation with n>1 spectral index at this scale. After a while, another
moduli (or inflaton) takes the place and generates the perturbation with n<1.
At the transition point the two fluctuations are comparable with each other. We
show how the spectral index is affected by the transition induced by the
shooting-star moduli.


title: Parsec Scale Properties of Brightest Cluster Galaxies

abstract:
  We present new VLBI observations of Brightest Cluster Galaxies in eight
nearby Abell clusters. These data show a possible difference between Brightest
Cluster Galaxies in cool core clusters (two-sided pc scale jets) and in non
cool core clusters (one-sided pc scale jets). We suggest that this difference
could be due to the jet interaction with the surrounding medium. More data are
necessary to discuss if pc-scale properties of Brightest Cluster Galaxies are
influenced by their peculiar morphology and position in the center of rich
clusters of galaxies.


title:
Newton equation for canonical, Lie-algebraic and quadratic deformation
  of classical space

abstract:
  The Newton equation describing the particle motion in constant external field
force on canonical, Lie-algebraic and quadratic space-time is investigated. We
show that for canonical deformation of space-time the dynamical effects are
absent, while in the case of Lie-algebraic noncommutativity, when spatial
coordinates commute to the time variable, the additional acceleration of
particle is generated. We also indicate, that in the case of spatial
coordinates commuting in Lie-algebraic way, as well as for quadratic
deformation, there appear additional velocity and position-dependent forces.


title: Analysis of 70 Ophiuchi AB including seismic constraints

abstract:
  The analysis of solar-like oscillations for stars belonging to a binary
system provides a unique opportunity to probe the internal stellar structure
and to test our knowledge of stellar physics. Such oscillations have been
recently observed and characterized for the A component of the 70 Ophiuchi
system. A model of 70 Ophiuchi AB that correctly reproduces all observational
constraints available for both stars is determined. An age of 6.2 +- 1.0 Gyr is
found with an initial helium mass fraction Y_i=0.266 +- 0.015 and an initial
metallicity (Z/X)_i=0.0300 +- 0.0025 when atomic diffusion is included and a
solar value of the mixing-length parameter assumed. A precise and independent
determination of the value of the mixing-length parameter needed to model 70
Oph A requires accurate measurement of the mean small separation, which is not
available yet. Current asteroseismic observations, however, suggest that the
value of the mixing-length parameter of 70 Oph A is lower or equal to the solar
calibrated value. The effects of atomic diffusion and of the choice of the
adopted solar mixture were also studied. We also tested and compared the
theoretical tools used for the modeling of stars for which p-modes frequencies
are detected by performing this analysis with three different stellar evolution
codes and two different calibration methods. We found that the different
evolution codes and calibration methods we used led to perfectly coherent
results.


title: Rate Equations and Scaling in Pulsed Laser Deposition

abstract:
  We study a simplified model for pulsed laser deposition [Phys. Rev. Lett.
{\bf 87}, 135701 (2001)] by rate equations. We consider a set of equations,
where islands are assumed to be point-like, as well as an improved one that
takes the size of the islands into account. The first set of equations is
solved exactly but its predictive power is restricted to a few pulses. The
improved set of equations is integrated numerically, is in excellent agreement
with simulations, and fully accounts for the crossover from continuous to
pulsed deposition. Moreover, we analyze the scaling of the nucleation density
and show numerical results indicating that a previously observed logarithmic
scaling does not apply.


title:
On the unitarity of gauged non-compact world-sheet supersymmetric WZNW
  models

abstract:
  In this paper we generalize our investigation of the unitarity of non-compact
WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet
supersymmetric extension of these models. We will prove that these models have
a unitary spectrum in a BRST approach for antidominant highest weight
representations if the level and weights of the gauged subalgebra are integers.
We will find new critical string theories in 7 and 9 space-time dimensions.


title: Cross-correlations in transport through parallel quantum dots

abstract:
  We investigate cross-correlations in the tunneling currents through two
parallel quantum dots coupled to independent electrodes and gates and
interacting via an inter-dot Coulomb interaction. The correlations reveal
additional information, beyond what can be learned from the current or
conductance, about the dynamics of transport processes of the system. We find
qualitatively different scenarios for the dependence of the cross-correlations
on the two gate voltages. Reducing the temperature below the inter-dot Coulomb
interaction, regions of a given sign change from spherical shapes to angular
L-shapes or stripes. Similar shapes have been observed in recent experiments.


title: Boundary-induced nonequilibrium phase transition into an absorbing state

abstract:
  We demonstrate that absorbing phase transitions in one dimension may be
induced by the dynamics of a single site. As an example we consider a
one-dimensional model of diffusing particles, where a single site at the
boundary evolves according to the dynamics of a contact process. As the rate
for offspring production at this site is varied, the model exhibits a phase
transition from a fluctuating active phase into an absorbing state. The
universal properties of the transition are analyzed by numerical simulations
and approximation techniques.


title:
Reduction of systems of first-order differential equations via
  Lambda-symmetries

abstract:
  The notion of lambda-symmetries, originally introduced by C. Muriel and J.L.
Romero, is extended to the case of systems of first-order ODE's (and of
dynamical systems in particular). It is shown that the existence of a symmetry
of this type produces a reduction of the differential equations, restricting
the presence of the variables involved in the problem. The results are compared
with the case of standard (i.e. exact) Lie-point symmetries and are also
illustrated by some examples.


title: Neural Networks and Database Systems

abstract:
  Object-oriented database systems proved very valuable at handling and
administrating complex objects. In the following guidelines for embedding
neural networks into such systems are presented. It is our goal to treat
networks as normal data in the database system. From the logical point of view,
a neural network is a complex data value and can be stored as a normal data
object. It is generally accepted that rule-based reasoning will play an
important role in future database applications. The knowledge base consists of
facts and rules, which are both stored and handled by the underlying database
system. Neural networks can be seen as representation of intensional knowledge
of intelligent database systems. So they are part of a rule based knowledge
pool and can be used like conventional rules. The user has a unified view about
his knowledge base regardless of the origin of the unique rules.


title:
Composite self-similar solutions for relativistic shocks: the transition
  to cold fluid temperatures

abstract:
  The flow resulting from a strong ultrarelativistic shock moving through a
stellar envelope with a polytrope-like density profile has been studied
analytically and numerically at early times while the fluid temperature is
relativistic--that is, just before and just after the shock breaks out of the
star. Such a flow should expand and accelerate as its internal energy is
converted to bulk kinetic energy; at late enough times, the assumption of
relativistic temperatures becomes invalid. Here we present a new self-similar
solution for the post-breakout flow when the accelerating fluid has bulk
kinetic Lorentz factors much larger than unity but is cooling through $p/n$ of
order unity to subrelativistic temperatures. This solution gives a relation
between a fluid element's terminal Lorentz factor and that element's Lorentz
factor just after it is shocked. Our numerical integrations agree well with the
solution. While our solution assumes a planar flow, we show that corrections
due to spherical geometry are important only for extremely fast ejecta
originating in a region very close to the stellar surface. This region grows if
the shock becomes relativistic deeper in the star.


title:
Eigenvalue distribution for non-self-adjoint operators with small
  multiplicative random perturbations

abstract:
  In this work we continue the study of the Weyl asymptotics of the
distribution of eigenvalues of non-self-adjoint (pseudo)differential operators
with small random perturbations, by treating the case of multiplicative
perturbations in arbitrary dimension. We were led to quite essential
improvements of many of the probabilistic aspects.


title: On Equilibrium Prices in Continuous Time

abstract:
  We combine general equilibrium theory and theorie generale of stochastic
processes to derive structural results about equilibrium state prices.


title: Condensation in a zero range process on weighted scale-free networks

abstract:
  We study the condensation phenomenon in a zero range process on weighted
scale-free networks in order to show how the weighted transport influences the
particle condensation. Instead of the approach of grand canonical ensemble
which is generally used in a zero range process, we introduce an alternate
approach of the mean field equations to study the dynamics of particle
transport. We find that the condensation on scale-free network is easier to
occur in the case of weighted transport than in the case of weight-free. In the
weighted transport, especially, a dynamical condensation is even possible for
the case of no interaction among particles, which is impossible in the case of
weight-free.


title: Roton-like mode in solid He-4

abstract:
  Recent theoretical and experimental work on solid He-4 has focused on
vacancies, or other lattice defects and whether these can form a Bose-Einstein
condensate within the solid. The earliest suggestion that this could happen was
based on the conjecture that the ground state of the solid at T = 0 K would
include vacancies. Although no direct evidence for zero point vacancies has
been presented, a variety of experimental observations have been interpreted as
being due to thermally activated vacancies. Here we directly probe the
excitation spectrum of hcp solid He-4 using inelastic neutron scattering. We
identify a branch of delocalized excitations, with both longitudinal and
transverse dispersion that coexist with acoustic phonons. While the energy gap
is larger and the characteristic wavevector is shifted to coincide with the
position of the (100) Bragg peak, the longitudinal effective mass of this mode
is within 15% of that for rotons in superfluid He-4. The dispersion relation
intersects the longitudinal acoustic phonon half way to the zone boundary, and
this distinguishes the mode from a conventional optic phonon. Our results
provide direct evidence for coherent delocalized non-phonon excitations in
solid helium, which we identify as delocalized vacancy modes.


title: Critical Point in a 3-3-1 Model with Right-Handed Neutrinos

abstract:
  The boson mass spectrum of a 3-3-1 model with right-handed neutrinos is
investigated by tuning a unique free parameter whitin the exact algebraical
approach for solving gauge models with high symmetries. A very strange
coincidence of the masses in both the neutral and the charged boson sectors can
occur at a not very high breaking scale. This could explain why the masses of
the new bosons have not been exactly weighted in the laboratories by date. In
order to have good phenomenological behaviour in the neutrino sector, one can
resort to either the conservation of the global lepton number
$L_{e}-L_{\mu}-L_{\tau}$ or see-saw mechanism.


title: A Systematic Study of Frame Sequence Operators and their Pseudoinverses

abstract:
  In this note we investigate the operators associated with frame sequences in
a Hilbert space $H$, i.e., the synthesis operator $T:\ell ^{2}(\mathbb{N}) \to
H$, the analysis operator $T^{\ast}:H\to $ $% \ell ^{2}(\mathbb{N}) $ and the
associated frame operator $S=TT^{\ast}$ as operators defined on (or to) the
whole space rather than on subspaces. Furthermore, the projection $P$ onto the
range of $T$, the projection $Q$ onto the range of $T^{\ast}$ and the Gram
matrix $G=T^{\ast}T$ are investigated. For all these operators, we investigate
their pseudoinverses, how they interact with each other, as well as possible
classification of frame sequences with them. For a tight frame sequence, we
show that some of these operators are connected in a simple way.


title: Moufang symmetry III. Integrability of generalized Lie equations

abstract:
  Integrability of generalized Lie equations of a local analytic Moufang loop
is inquired.


title:
Determination of the $\Delta S = 1$ weak Hamiltonian in the SU(4) chiral
  limit through topological zero-mode wave functions

abstract:
  A new method to determine the low-energy couplings of the $\Delta S=1$ weak
Hamiltonian is presented. It relies on a matching of the topological poles in
$1/m^2$ of three-point correlators of two pseudoscalar densities and a
four-fermion operator, measured in lattice QCD, to the same observables
computed in the $\epsilon$-regime of chiral perturbation theory. We test this
method in a theory with a light charm quark, i.e. with an SU(4) flavour
symmetry. Quenched numerical measurements are performed in a 2 fm box, and
chiral perturbation theory predictions are worked out up to next-to-leading
order. The matching of the two sides allows to determine the weak low-energy
couplings in the SU(4) limit. We compare the results with a previous
determination, based on three-point correlators containing two left-handed
currents, and discuss the merits and drawbacks of the two procedures.


title: CP observables with spin-spin correlations in chargino production

abstract:
  We study the CP-violating terms of the spin-spin correlations in chargino
production e+e- -> chi^+/-_1 chi^-/+_2, and their subsequent two-body decays
into sneutrinos plus leptons. We propose novel CP-sensitive observables with
the help of T-odd products of the spin-spin terms. These terms depend on the
polarizations of both charginos, with one polarization perpendicular to the
production plane. We identify two classes of CP-sensitive observables; one
requires the reconstruction of the production plane, the other not. Our
framework is the Minimal Supersymmetric Standard Model with complex parameters.


title: Discrete breathers in protein structures

abstract:
  Recently, using a numerical surface cooling approach, we have shown that
highly energetic discrete breathers (DB) can form in the stiffest parts of
nonlinear network models of large protein structures. In the present study,
using an analytical approach, we extend our previous results to low-energy
discrete breathers as well as to smaller proteins
  We confirm and further scrutinize the striking site selectiveness of energy
localisation in the presence of spatial disorder. In particular, we find that,
as a sheer consequence of disorder, a non-zero energy gap for exciting a DB at
a given site either exists or not. Remarkably, in the former case, the gaps
arise as result of the impossibility of exciting small-amplitude modes in the
first place. On the contrary, in the latter case, a small subset of linear edge
modes act as accumulation points, whereby DBs can be continued to arbitrary
small energies, while unavoidably approaching one of such normal modes. In
particular, the case of the edge mode seems peculiar, its dispersion relation
being simple and little system-dependent.
  Concerning the structure-dynamics relationship, we find that the regions of
protein structures where DBs form easily (zero or small gaps) are unfailingly
the most highly connected ones, also characterized by weak local clustering.
Remarkably, a systematic analysis on a large database of enzyme structures
reveals that amino-acid residues involved in enzymatic activity tend to be
located in such regions. This finding reinforces the idea that localised modes
of nonlinear origin may play an important biological role, e.g. by providing a
ready channel for energy storage and/or contributing to lower energy barriers
of chemical reactions.


title: Strong solutions for stochastic porous media equations with jumps

abstract:
  We prove global well-posedness in the strong sense for stochastic generalized
porous media equations driven by square integrable martingales with stationary
independent increments.


title:
A Universal Map for Fractal Structures in Weak Solitary Wave
  Interactions

abstract:
  Fractal scatterings in weak solitary wave interactions is analyzed for
generalized nonlinear Schr\"odiger equations (GNLS). Using asymptotic methods,
these weak interactions are reduced to a universal second-order map. This map
gives the same fractal scattering patterns as those in the GNLS equations both
qualitatively and quantitatively. Scaling laws of these fractals are also
derived.


title: A Schwartz type algebra for the Tangent Groupoid

abstract:
  We construct an algebra of smooth functions over the tangent groupoid
associated to any Lie groupoid. This algebra is a field of algebras over the
closed interval [0, 1] which fiber at zero is the algebra of Schwartz functions
over the Lie algebroid, whereas any fiber out of zero is the convolution
algebra of the initial groupoid. Our motivation comes from index theory for Lie
groupoids. In fact, our construction gives an intermediate algebra between the
enveloping C-algebra and the convolution algebra of compactly supported
functions of the tangent groupoid; and it will allows us, in a further work, to
define other analytic index morphisms as a sort of deformations.


title: Processing Information in Quantum Decision Theory

abstract:
  A survey is given summarizing the state of the art of describing information
processing in Quantum Decision Theory, which has been recently advanced as a
novel variant of decision making, based on the mathematical theory of separable
Hilbert spaces. This mathematical structure captures the effect of
superposition of composite prospects, including many incorporated intended
actions. The theory characterizes entangled decision making, non-commutativity
of subsequent decisions, and intention interference. The self-consistent
procedure of decision making, in the frame of the quantum decision theory,
takes into account both the available objective information as well as
subjective contextual effects. This quantum approach avoids any paradox typical
of classical decision theory. Conditional maximization of entropy, equivalent
to the minimization of an information functional, makes it possible to connect
the quantum and classical decision theories, showing that the latter is the
limit of the former under vanishing interference terms.


title: Persistence in Random Walk in Composite Media

abstract:
  We consider a class of inhomogeneous media known as composite media that is
often encountered in experimental sciences and investigate the persistence
probability of a random walker in such a system. Analytical and numerical
results for the crossover time scales has been obtained for a composite system
with two homogeneous components and three homogeneous components respectively.


title: Cosmic Order out of Primordial Chaos: a tribute to Nikos Voglis

abstract:
  Nikos Voglis had many astronomical interests, among them was the question of
the origin of galactic angular momentum. In this short tribute we review how
this subject has changed since the 1970's and how it has now become evident
that gravitational tidal forces have not only caused galaxies to rotate, but
have also acted to shape the very cosmic structure in which those galaxies are
found. We present recent evidence for this based on data analysis techniques
that provide objective catalogues of clusters, filaments and voids.


title: Microcanonical equations for the Tsallis entropy

abstract:
  Microcanonical equations for several thermodynamic properties of a system,
suitable for molecular dynamics simulations, are derived from the nonextensive
Tsallis entropy functional. Two possible definitions of temperature, the usual
one and a ``physical'' modification which satisfies the zeroth law of
thermodynamics, are considered, and the results from both choices are compared.
Results for the ideal gas using the first definition of temperature are
provided and discussed in relation with the canonical results reported in the
literature. The second choice leaves most formulae unchanged from their
extensive (Shannon-Boltzmann-Gibbs) form.


title:
Auxiliary fields as a tool for computing analytical solutions of the
  Schr\"{o}dinger equation

abstract:
  We propose a new method to obtain approximate solutions for the
Schr\"{o}dinger equation with an arbitrary potential that possesses bound
states. This method, relying on the auxiliary field technique, allows in many
cases to find analytical solutions. It offers a convenient way to study the
qualitative features of the energy spectrum of bound states in any potential.
In particular, we illustrate our method by solving the case of central
potentials with power-law form and with logarithmic form. For these types of
potentials, we propose very accurate analytical energy formulae which improve a
lot the corresponding formulae that can be found in literature.


title:
Dielectric screening--, multiple scattering--, and quantum
  indistinguishability effects in the IR emission spectrum of Xe$_2$ excimers
  in dense Xe gas

abstract:
  We report new measurements of the infrared emission spectrum of Xe$_{2}$
excimers produced by electron impact in dense gas at room temperature. These
measurements extend the density range previously explored by a factor of two.
We have now reached a pressure $P\approx 3.3 $MPa, corresponding to a gas
density $N\approx 8\cdot 10^{26} $m$^{-3}$ in both pure Xe gas and in a Ar--Xe
mixture. The analysis of the changes of the spectrum induced by the interaction
with the gaseous environment shows how cooperative-- and many-body effects
develop with increasing density. We %will also show that quantum effects
related to the indistinguishability of identical particles are observed even at
such high temperature.


title: String Creation, D-branes and Effective Field Theory

abstract:
  This paper addresses several unsettled issues associated with string creation
in systems of orthogonal Dp-D(8-p) branes. The interaction between the branes
can be understood either from the closed string or open string picture. In the
closed string picture it has been noted that the DBI action fails to capture an
extra RR exchange between the branes. We demonstrate how this problem persists
upon lifting to M-theory. These D-brane systems are analysed in the closed
string picture by using gauge-fixed boundary states in a non-standard lightcone
gauge, in which RR exchange can be analysed precisely. The missing piece in the
DBI action also manifests itself in the open string picture as a mismatch
between the Coleman-Weinberg potential obtained from the effective field theory
and the corresponding open string calculation. We show that this difference can
be reconciled by taking into account the superghosts in the (0+1)effective
theory of the chiral fermion, that arises from gauge fixing the spontaneously
broken world-line local supersymmetries.


title:
Sensitivity analysis of the solar rotation to helioseismic data from
  GONG, GOLF and MDI observations

abstract:
  Accurate determination of the rotation rate in the radiative zone of the sun
from helioseismic observations requires rotational frequency splittings of
exceptional quality as well as reliable inversion techniques. We present here
inferences based on mode parameters calculated from 2088-days long MDI, GONG
and GOLF time series that were fitted to estimate very low frequency rotational
splittings (nu < 1.7 mHz). These low frequency modes provide data of
exceptional quality, since the width of the mode peaks is much smaller than the
rotational splitting and hence it is much easier to separate the rotational
splittings from the effects caused by the finite lifetime and the stochastic
excitation of the modes. We also have implemented a new inversion methodology
that allows us to infer the rotation rate of the radiative interior from mode
sets that span l=1 to 25. Our results are compatible with the sun rotating like
a rigid solid in most of the radiative zone and slowing down in the core (R_sun
< 0.2). A resolution analysis of the inversion was carried out for the solar
rotation inverse problem. This analysis effectively establishes a direct
relationship between the mode set included in the inversion and the sensitivity
and information content of the resulting inferences. We show that such an
approach allows us to determine the effect of adding low frequency and low
degree p-modes, high frequency and low degree p-modes, as well as some g-modes
on the derived rotation rate in the solar radiative zone, and in particular the
solar core. We conclude that the level of uncertainties that is needed to infer
the dynamical conditions in the core when only p-modes are included is unlikely
to be reached in the near future, and hence sustained efforts are needed
towards the detection and characterization of g-modes.


title:
Contradicting effective mass scalings within the Skyrme energy density
  functional method

abstract:
  The problem of the effective mass scaling in the single particle spectra
calculated within the Skyrme energy density functional (EDF) method is studied.
It is demonstrated that for specific pairs of orbitals the commonly anticipated
isoscalar effective mass (m*) scaling of the single-particle level splittings
is almost canceled by an implicit m*-scaling due to other parameters in the
Skyrme EDF. This holds in particular for an indirect m*-scaling of the two-body
spin-orbit strength making the theory essentially unpredictable with respect to
single particle energies. It is argued that this unphysical property of the
Skyrme EDF is a mere consequence of the strategies and datasets used to fit
these functionals. The inclusion of certain single-particle spin-orbit
splittings to fit the two-body spin-orbit and the tensor interaction strengths
reinstates the conventional m*-scaling and improves the performance of the
Skyrme EDF.


title:
Effects of the triaxial deformation and pairing correlation on the
  proton emitter 145Tm

abstract:
  The ground-state properties of the recent reported proton emitter 145Tm have
been studied within the axially or triaxially deformed relativistic mean field
(RMF) approaches, in which the pairing correlation is taken into account by the
BCS-method with a constant pairing gap. It is found that triaxiality and
pairing correlations play important roles in reproducing the experimental one
proton separation energy. The single-particle level, the proton emission orbit,
the deformation parameters beta = 0.22 and gamma = 28.98 and the corresponding
spectroscopic factor for 145Tm in the triaxial RMF calculation are given as
well.


title:
A new dipole-free sum-over-states expression for the second
  hyperpolarizability

abstract:
  The generalized Thomas-Kuhn sum rules are used to eliminate the explicit
dependence on dipolar terms in the traditional sum-over-states (SOS) expression
for the second hyperpolarizability to derive a new, yet equivalent, SOS
expression. This new dipole-free expression may be better suited to study the
second hyperpolarizability of non-dipolar systems such as quadrupolar,
octupolar, and dodecapolar structures. The two expressions lead to the same
fundamental limits of the off-resonance second hyperpolarizability; and when
applied to a particle in a box and a clipped harmonic oscillator, have the same
frequency-dependence. We propose that the new dipole-free equation, when used
in conjunction with the standard SOS expression, can be used to develop a
three-state model of the dispersion of the third-order susceptibility that can
be applied to molecules in cases where normally many more states would have
been required. Furthermore, a comparison between the two expressions can be
used as a convergence test of molecular orbital calculations when applied to
the second hyperpolarizability.


title:
Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev
  cocycle

abstract:
  In their study of the representation theory of loop groups, Pressley and
Segal introduced a determinant line bundle over an infinite dimensional
Grassmann manifold. Mickelsson and Rajeev subsequently generalized the work of
Pressley and Segal and in the process introduced for any p >=1 another infinite
dimensional Grassmann manifold and a determinant line bundle defined over it.
The construction of this determinant line bundle required the notion of a
regularized determinant for bounded operators. In this note we specialize to
the case p =2 and construct explicitly a connection on the corresponding
determinant line bundle and give a simple and explicit formula for its
curvature. As an application of our results we give a geometric derivation of
the Mickelsson-Rajeev cocycle.


title: A fresh look at neutral meson mixing

abstract:
  In this work we show that the existence of a complete biorthonormal set of
eigenvectors of the effective Hamiltonian governing the time evolution of
neutral meson system is a necessary condition for diagonalizability of such a
Hamiltonian. We also study the possibility of probing the $CPT$ invariance by
observing the time dependence of cascade decays of type
$P^{\circ}(\bar{P^{\circ}})\to \{M_a,M_b\}X\to fX$ by employing such basis and
exactly determine the $CPT$ violation parameter by comparing the time
dependence of the cascade decays of tagged $P^{\circ}$ and tagged
$\bar{P^{\circ}}$.


title: Estimate for the X(3872) to gamma J/psi decay width

abstract:
  The X(3872) resonance is considered as a hadronic molecule, a loosely-bound
state of charmed D0 and D*0 mesons, since its mass is very close to the D*0
barD0 threshold. Assuming structure and quantum numbers of X(3872) as (D0
barD*0 - D*0 barD0)/sqrt(2) and J(PC) = 1(++), we calculate the X(3872) to
gamma J/psi decay using a phenomenological Lagrangian approach. We also
estimate the contribution of an additional c bar(c) component in the X(3872) to
this decay width, which is shown to be suppressed relative to the one of the
molecular configuration.


title:
Power Allocation for Fading Channels with Peak-to-Average Power
  Constraints

abstract:
  Power allocation with peak-to-average power ratio constraints is investigated
for transmission over Nakagami-m fading channels with arbitrary input
distributions. In the case of delay-limited block-fading channels, we find the
solution to the minimum outage power allocation scheme with peak-to-average
power constraints and arbitrary input distributions, and show that the
signal-to-noise ratio exponent for any finite peak-to-average power ratio is
the same as that of the peak-power limited problem, resulting in an error
floor. In the case of the ergodic fully-interleaved channel, we find the power
allocation rule that yields the maximal information rate for an arbitrary input
distribution and show that capacities with peak-to-average power ratio
constraints, even for small ratios, are very close to capacities without
peak-power restrictions.


title: Universal quantum logic gates in a scalable Ising spin quantum computer

abstract:
  We consider the model of quantum computer, which is represented as a Ising
spin lattice, where qubits (spin-half systems) are separated by the isolators
(two spin-half systems). In the idle mode or at the single bit operations the
total spin of isolators is 0. There are no need of complicated protocols for
correcting the phase and probability errors due to permanent interaction
between the qubits. We present protocols for implementation of universal
quantum gates with the rectangular radio-frequency pulses.


title: Modeling and Optimal Control of Networks of Pipes and Canals

abstract:
  This paper deals with the optimal control of systems governed by nonlinear
systems of conservation laws at junctions. The applications considered range
from gas compressors in pipelines to open channels management. The existence of
an optimal control is proved. From the analytical point of view, these results
are based on the well posedness of a suitable initial boundary value problem
and on techniques for quasidifferential equations in a metric space.


title:
Switching to nonhyperbolic cycles from codim 2 bifurcations of
  equilibria in ODEs

abstract:
  The paper provides full algorithmic details on switching to the continuation
of all possible codim 1 cycle bifurcations from generic codim 2 equilibrium
bifurcation points in n-dimensional ODEs. We discuss the implementation and the
performance of the algorithm in several examples, including an extended
Lorenz-84 model and a laser system.


title: Dilepton Production from Dropping rho in the Vector Manifestation

abstract:
  In this write-up we summarize the main result of our analysis on the thermal
dilepton production rate from the dropping rho based on the vector
manifestation (VM). In the analysis, we showed that the effect of the strong
violation of the vector dominance (VD) predicted by the VM, substantially
suppresses the dilepton production rate compared with the one predicted by
assuming the VD together with the dropping rho.


title:
A bright coronal downflow seen in multi-wavelength observations:
  evidence of a bifurcating flux-rope?

abstract:
  Aims: To study the origin and characteristics of a bright coronal downflow
seen after a coronal mass ejection associated with erupting prominences on 5
March 2000.
  Methods: This study extends that of Tripathi et al. (A&A, v. 449, pp. 369)
based on the Extreme-ultraviolet Imaging Telescope (EIT), the Soft X-ray
Telescope (SXT) and the Large Angle Spectrometric Coronagraph (LASCO)
observations. We combined those results with an analysis of the observations
taken by the H${\alpha}$ and the Mk4 coronagraphs at the Mauna Loa Solar
Observatory (MLSO). The combined data-set spans a broad range of temperature as
well as continuous observations from the solar surface out to 30 R$_{\sun}$.
  Results: The downflow started at around 1.6R$_{\sun}$ and contained both hot
and cold gas. The downflow was observed in the H${\alpha}$ and the Mk4
coronagraphs as well as the EIT and the SXT and was approximately co-spatial
and co-temporal providing evidence of multi-thermal plasma. The H${\alpha}$ and
Mk4 images show cusp-shaped structures close to the location where the downflow
started. Mk4 observations reveal that the speed of the downflow in the early
phase was substantially higher than the free-fall speed, implying a strong
downward acceleration near the height at which the downflow started.
  Conclusions: The origin of the downflow was likely to have been magnetic
reconnection taking place inside the erupting flux rope that led to its
bifurcation.


title: Towards a formalization of budgets

abstract:
  We go into the need for, and the requirements on, a formal theory of budgets.
We present a simple algebraic theory of rational budgets, i.e., budgets in
which amounts of money are specified by functions on the rational numbers. This
theory is based on the tuplix calculus. We go into the importance of using
totalized models for the rational numbers. We present a case study on the
educational budget of a university department offering master programs.


title:
Transport model study of the $m_T$-scaling for $\Lambda$, K, and $\pi$
  HBT-correlations

abstract:
  Based on the microscopic transport model UrQMD in which hadronic and string
degrees of freedom are employed, the HBT parameters in the longitudinal
co-moving system are investigated for charged pion and kaon, and $\Lambda$
sources in heavy ion collisions (HICs) at SPS and RHIC energies. In the Cascade
mode, $R_O$ and the $R_L$ at high SPS and RHIC energies do not follow the
$m_T$-scaling, however, after considering a soft equation of state with
momentum dependence (SM-EoS) for formed baryons and a density-dependent
Skyrme-like potential for ``pre-formed'' particles, the HBT radii of pions and
kaons and even those of $\Lambda$s with large transverse momenta follow the
$m_T$-scaling function $R=3/\sqrt{m_T}$ fairly well.


title:
Molecular and all solid DFT studies of the magnetic and chemical bonding
  properties within KM[Cr(CN)$_6$] (M = V, Ni) complexes

abstract:
  A study at both the molecular and extended solid level in the framework DFT
is carried out for KM[Cr(CN)$_6$] (M = V, Ni). From molecular calculations, the
exchange parameters J are obtained, pointing to the expected magnetic ground
states, i.e., antiferromagnetic for M = V with J = -296.5 cm$^{-1}$ and
ferromagnetic for M = Ni with J = +40.5 cm$^{-1}$. From solid state
computations the same ground states and J magnitudes are confirmed from energy
differences. Furthermore an analysis of the site projected density of states
and of the chemical bonding is developed in which the cyanide ion linkage is
analyzed addressing some isomerism aspects.


title:
Observation of Magnetic Order in a ${\rm YBa_2Cu_3O_{6.6}}$
  Superconductor

abstract:
  Polarized beam neutron scattering measurements on a highly perfect crystal of
${\rm YBa_2Cu_3O_{6.6}}$ show a distinct magnetic transition with an onset at
about 235K, the temperature expected for the pseudogap transition. The moment
is found to be about 0.1 $\mu_B$ for each sublattice and have a correlation
length of at least 75 \AA. We found the critical exponent for the magnetic
neutron intensity to be 2$\beta$ =0.37$\pm$ 0.12. This is the proper range for
the class of transition that has no specific heat divergence possibly
explaining why none is found at the pseudogap transition.


title: Optimizing the greenfield Beta-beam

abstract:
  We perform a comprehensive and detailed comparison of the physics reach of
Beta-beam neutrino experiments between two pairs of plausible source ions, (8B,
8Li) and (18Ne, 6He). We study the optimal choices for the baseline, boost
factor, and luminosity. We take a 50 kton iron calorimeter, a la ICAL@INO, as
the far detector. We follow two complementary approaches for our study: (i)
Fixing the number of useful ion decays and boost factor of the beam, and
optimizing for the sensitivity reach between the two pairs of ions as a
function of the baseline. (ii) Matching the shape of the spectrum between the
two pairs of ions, and studying the requirements for baseline, boost factor,
and luminosity. We find that for each pair of ions there are two baselines with
very good sensitivity reaches: a short baseline with $L [km]/ \gamma \simeq
2.6$ (8B+8Li) and $L [km]/\gamma \simeq 0.8$ (18Ne+6He), and a long ``magic''
baseline. For $\gamma \sim 500$, one would optimally use 18Ne and 6He at the
short baseline for CP violation, 8B and 8Li at the magic baseline for the mass
hierarchy, and either 18Ne and 6He at the short baseline or 8B and 8Li at the
magic baseline for the $\sin^22\theta_{13}$ discovery.


title:
A mean field study of single-particle spectra evolution in Z=14 and N=28
  chains

abstract:
  We study the mechanisms which reduce the proton 1d(3/2)-1d(5/2) spin-orbit
splitting and the neutron 1f(7/2) subshell closure in 42Si. We use various
self-consistent mean field models: non-relativistic Skyrme-Hartree-Fock and
relativistic density-dependent Hartree-Fock. Special attention is devoted to
the influence of a tensor component in the effective interaction. It is found
that the tensor force indeed governs the reduction of the 1d proton spin-orbit
splitting. On the other hand, the reduction of the neutron 1f(7/2) subshell
closure is not clearly related to the tensor force.


title: A combinatorial approach to surgery formulas in Heegaard Floer homology

abstract:
  Using the combinatorial approach to Heegaard Floer homology we obtain a
relatively easy formula for computation of hat Heegaard Floer homology for the
three-manifold obtained by rational surgery on a knot K inside a homology
sphere Y.


title: Proving the Theorem of Wigner by an Exercise in Simple Geometry

abstract:
  The leading idea of the paper is to treat the theorem of Wigner with methods
inspired by geometry. The exercise mentionned in the title has two functions:
On the one hand it can serve as a pedagogical text in order to make the reader
acquainted with the essential features of the theorem and its proof. On the
other hand it will turn out to be the core of the general proof.


title: The GMc-interpretation of Quantum Mechanics

abstract:
  The GMc-interpretation (Gravitation-Motion of mass-light with maximal speed
c) is a consistent approach to quantum mechanics very closely related to
classical physics. Several postulates are formulated that are satisfied in
classical physics, general relativity theory, quantum theory and
thermodynamics. In this interpretation, particles are always particles, never
waves, and many paradoxes can be easily understood or avoided. In particular,
the postulates allow to explain the measurement problem and the concept of
interaction-free measurements; the latter allows to find objects without
``touching'' them, and sometimes the phrase ``seeing in the dark'' is used.
Additionally, the concepts of complementarity, uncertainty, decoherence,
locality and realism are investigated. One key property of this interpretation
is that all observed probabilities and interference patterns are known before a
particle is in the experiment. Ontological questions are discussed.


title:
Color Graphs: An Efficient Model For Two-Dimensional Cellular Automata
  Linear Rules

abstract:
  Two-dimensional nine neighbor hood rectangular Cellular Automata rules can be
modeled using many different techniques like Rule matrices, State Transition
Diagrams, Boolean functions, Algebraic Normal Form etc. In this paper, a new
model is introduced using color graphs to model all the 512 linear rules. The
graph theoretic properties therefore studied in this paper simplifies the
analysis of all linear rules in comparison with other ways of its study.


title:
Clusters of solutions and replica symmetry breaking in random
  k-satisfiability

abstract:
  We study the set of solutions of random k-satisfiability formulae through the
cavity method. It is known that, for an interval of the clause-to-variables
ratio, this decomposes into an exponential number of pure states (clusters). We
refine substantially this picture by: (i) determining the precise location of
the clustering transition; (ii) uncovering a second `condensation' phase
transition in the structure of the solution set for k larger or equal than 4.
These results both follow from computing the large deviation rate of the
internal entropy of pure states. From a technical point of view our main
contributions are a simplified version of the cavity formalism for special
values of the Parisi replica symmetry breaking parameter m (in particular for
m=1 via a correspondence with the tree reconstruction problem) and new large-k
expansions.


title:
Dynamic data models: an application of MOP-based persistence in Common
  Lisp

abstract:
  The data model of an application, the nature and format of data stored across
executions, is typically a very rigid part of its early specification, even
when prototyping, and changing it after code that relies on it was written can
prove quite expensive and error-prone.
  Code and data in a running Lisp image can be dynamically modified. A
MOP-based persistence library can bring this dynamicity to the data model. This
enables to extend the easy prototyping way of development to the storage of
data and helps avoiding interruptions of service. This article presents the
conditions to do this portably and transparently.


title: Bianchi models with vorticity: The type III bifurcation

abstract:
  We study the late-time behaviour of tilted perfect fluid Bianchi type III
models using a dynamical systems approach. We consider models with dust, and
perfect fluids stiffer than dust, and eludicate the late-time behaviour by
studying the centre manifold which dominates the behaviour of the model at late
times. In the dust case, this centre manifold is 3-dimensional and can be
considered as a double bifurcation as the 2 parameters ($h$ and $\gamma$) of
the type VI$_h$ model are varied. We calculate the decay rates and show that
for dust or stiffer the models approach a vacuum spacetime, however, it does so
rather slowly: $\rho/H^2\sim 1/\ln t$.


title: Elliptic Quantum Group U_{q,p}(\hat{sl}_2) and Vertex Operators

abstract:
  Introducing an H-Hopf algebroid structure into U_{q,p}(\widedhat{sl}_2), we
investigate the vertex operators of the elliptic quantum group
U_{q,p}(\widedhat{sl}_2) defined as intertwining operators of infinite
dimensional U_{q,p}(\widedhat{sl}_2)-modules. We show that the vertex operators
coincide with the previous results obtained indirectly by using the quasi-Hopf
algebra B_{q,\lambda}(\hat{sl}_2). This shows a consistency of our H-Hopf
algebroid structure even in the case with non-zero central element.

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


title:
Quantum gates and multi-particle entanglement by Rydberg excitation
  blockade and adiabatic passage

abstract:
  We propose to apply stimulated adiabatic passage to transfer atoms from their
ground state into Rydberg excited states. Atoms a few micrometers apart
experience a dipole-dipole interaction among Rydberg states that is strong
enough to shift the atomic resonance and inhibit excitation of more than a
single atom. We show that the adiabatic passage in the presence of this
interaction between two atoms leads to robust creation of maximally entangled
states and to two-bit quantum gates. For many atoms, the excitation blockade
leads to an effective implementation of collective-spin and
Jaynes-Cummings-like Hamiltonians, and we show that the adiabatic passage can
be used to generate collective Jx=0 eigenstates and Greenberger-Horne-Zeilinger
states of tens of atoms.


title: Geometry of quantum correlations

abstract:
  Consider the set Q of quantum correlation vectors for two observers, each
with two possible binary measurements. Quadric (hyperbolic) inequalities which
are satisfied by every vector in Q are proved, and equality holds on a two
dimensional manifold consisting of the local boxes, and all the quantum
correlation vectors that maximally violate the Clauser, Horne, Shimony, and
Holt (CHSH) inequality. The quadric inequalities are tightly related to CHSH,
they are their iterated versions (equation 20). Consequently, it is proved that
Q is contained in a hyperbolic cube whose axes lie along the non-local
(Popescu, Rohrlich) boxes. As an application, a tight constraint on the rate of
local boxes that must be present in every quantum correlation is derived. The
inequalities allow testing the validity of quantum mechanics on the basis of
data available from experiments which test the violation of CHSH. It is noted
how these results can be generalized to the case of n sites, each with two
possible binary measurements.


title:
Casimir force for a sphere in front of a plane beyond Proximity Force
  Approximation

abstract:
  For the configuration of a sphere in front of a plane we calculate the first
two terms of the asymptotic expansion for small separation of the Casimir
force. We consider both Dirichlet and Neumann boundary conditions.


title:
Local Information Based Algorithms for Packet Transport in Complex
  Networks

abstract:
  We introduce four algorithms for packet transport in complex networks. These
algorithms use deterministic rules which depend, in different ways, on the
degree of the node, the number of packets posted down each edge, the mean
delivery time of packets sent down each edge to each destination and the time
since an edge last transmitted a packet. On scale-free networks all our
algorithms are considerably more efficient and can handle a larger load than
the random walk algorithm. We consider in detail various attributes of our
algorithms, for instance we show that an algorithm that bases its decisions on
the mean delivery time jams unless it incorporates information about the degree
of the destination node.


title: Moufang symmetry IV. Reductivity and hidden associativity

abstract:
  It is shown how integrability of the generalized Lie equations of a local
analytic Moufang loop is related to the reductivity conditions and
Sagle-Yamaguti identity.


title: Invasion threshold in heterogeneous metapopulation networks

abstract:
  We study the dynamics of epidemic and reaction-diffusion processes in
metapopulation models with heterogeneous connectivity pattern. In SIR-like
processes, along with the standard local epidemic threshold, the system
exhibits a global invasion threshold. We provide an explicit expression of the
threshold that sets a critical value of the diffusion/mobility rate below which
the epidemic is not able to spread to a macroscopic fraction of subpopulations.
The invasion threshold is found to be affected by the topological fluctuations
of the metapopulation network. The presented results provide a general
framework for the understanding of the effect of travel restrictions in
epidemic containment.


title:
Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level
  of Perturbation Theory

abstract:
  We study cutoff effects at tree-level of perturbation theory for maximally
twisted mass Wilson, overlap and the recently proposed Creutz fermions. We
demonstrate that all three kind of lattice fermions exhibit the expected O(a^2)
scaling behaviour in the lattice spacing. In addition, the sizes of these
cutoff effects are comparable for the three kinds of lattice fermions
considered here. Furthermore, we analyze situations when twisted mass fermions
are not exactly at maximal twist and when overlap fermions are studied in
comparison to twisted mass fermions when the quark masses are not matched.


title:
Veraverbeke's theorem at large - On the maximum of some processes with
  negative drift and heavy tail innovations

abstract:
  Veraverbeke's (1977) theorem relates the tail of the distribution of the
supremum of a random walk with negative drift to the tail of the distribution
of its increments, or equivalently, the probability that a centered random walk
with heavy-tail increments hits a moving linear boundary. We study similar
problems for more general processes. In particular, we derive an analogue of
Veraverbeke's theorem for fractional integrated ARMA models without prehistoric
influence, when the innovations have regularly varying tails. Furthermore, we
prove some limit theorems for the trajectory of the process, conditionally on a
large maximum. Those results are obtained by using a general scheme of proof
which we present in some detail and should be of value in other related
problems.


title: Stereo-photography of point-plane streamers in air

abstract:
  Standard photographs of streamer discharges show a two-dimensional
projection. We here present stereo-photographic images that resolve their
three-dimensional structure. We describe the stereoscopic set-up and
evaluation, and we present results for positive streamer discharges in air at
0.2 - 1 bar in a point plane geometry with a gap distance of 14 cm and a
voltage pulse of 47 kV. In this case an approximately Gaussian distribution of
branching angles of 43 degrees is found; these angles do not significantly
depend on the distance from the needle or on the gas pressure.


title: Strongly-Representable Operators

abstract:
  Recently in [1] a new class of maximal monotone operators has been
introduced. In this note we study domain range properties as well as
connections with other classes and calculus rules for these operators we called
strongly-representable. While not every maximal monotone operator is
strongly-representable, every maximal monotone NI operator is
strongly-representable, and every strongly representable operator is locally
maximal monotone, maximal monotone locally, and ANA. As a consequence the
conjugate of the Fitzpatrick function of a maximal monotone operator is not
necessarily a representative function.


title: Protein Sequence, Structure, Stability and Functionality

abstract:
  Protein-protein interactions (protein functionalities) are mediated by water,
which compacts individual proteins and promotes close and temporarily stable
large-area protein-protein interfaces. Proteins are peptide chains decorated by
amino acids, and protein scientists have long described protein-water
interactions in terms of qualitative amino acid hydrophobicity scales. Here we
examine several recent scales and argue plausibly (in terms of self-organized
criticality) that one of them should be regarded as an absolute scale (within
the protein universe), analogous to the dielectric scale of bond ionicity in
inorganic octet compounds. Applications to repeat proteins (containing upwards
of 900 amino acids) are successful, far beyond reasonable expectations, in all
cases studied so far. While some of the results are obvious and can be obtained
from the ex vitro spatial structures alone, many are hidden from plain view,
and can be called phantom relations. As a byproduct, the network theory
explains the exceptional functionality of leucine in zippers, heptads, and
repeat consensus sites.


title: On Conformal Vector Fields Parallel to The Observer Field

abstract:
  We review a theorem by Hasse and Perlick establishing a result characterizing
parallax-free cosmological models via three equivalent properties -- namely the
existence of a redshift potential, the existence of a conformal vector field
parallel to the observer field, and the vanishing of the shear of the observer
field together with some integrability condition. We are able to provide a
simplified proof using Noether's theorem to calculate a conserved quantity
along lightlike geodesics that is connected with the conformal symmetry.
Thereby we derive more detailed information about the connection of the
kinematical invariants to the redshift isotropy and the connection of conformal
vector fields to the causality of spacetime.


title: The linear spectrum of a quantum dot coupled to a nano-cavity

abstract:
  We develop a theoretical formalism to model the linear spectrum of a quantum
dot embedded in a high quality cavity, in presence of an arbitrary mechanism
modifying the homogeneous spectrum of the quantum dot. Within the simple
assumption of lorentzian broadening, we show how the known predictions of
cavity quantum electrodynamics are recovered. We then apply our model to the
case where the quantum dot interacts with an acoustic-phonon reservoir,
producing phonon sidebands in the response of the bare dot. In this case, we
show that the sidebands can sustain the spectral response of the cavity-like
peak even at moderate dot-cavity detuning, thus supporting recent experimental
findings.


title: Yangians in Deformed Super Yang-Mills Theories

abstract:
  We discuss the integrability structure of deformed, four-dimensional N=4
super Yang-Mills theories using Yangians. We employ a recent procedure by
Beisert and Roiban that generalizes the beta deformation of Lunin and Maldacena
to produce N=1 superconformal gauge theories, which have the superalgebra
SU(2,2|1)xU(1)xU(1). The deformed theories, including those with the more
general twist, were shown to have retained their integrable structure. Here we
examine the Yangian algebra of these deformed theories. In a five field
subsector, we compute the two cases of SU(2)xU(1)xU(1)xU(1) and
SU(2|1)xU(1)xU(1) as residual symmetries of SU(2,2|1)xU(1)xU(1). We compute a
twisted coproduct for these theories, and show that only for the residual
symmetry do we retain the standard coproduct. The twisted coproduct thus
provides a method for symmetry breaking. However, the full Yangian structure of
SU(2|3) is manifest in our subsector, albeit with twisted coproducts, and
provides for the integrability of the theory.


title: Atomic hyperfine resonances in a magnetic quadrupole field

abstract:
  The quantum resonances of an atom possessing a single valence electron which
shows hyperfine interaction with the nucleus is investigated in the presence of
a three dimensional magnetic quadrupole field. Particular emphasis is put on
the study of the interplay of the hyperfine and quadrupole forces. Analyzing
the underlying Hamiltonian a variety of symmetries are revealed which give rise
to a two-fold degeneracy of the resonance energies. Our numerical approach
employs the complex scaling method and a Sturmian basis set. Several regimes
and classes of short-lived and long-lived resonances are identified. The
energies and decay widths of the resonances are characterized by their
electronic and nuclear spin properties.


title:
Tunnel barrier enhanced voltage signals generated by magnetization
  precession of a single ferromagnetic layer

abstract:
  We report the electrical detection of magnetization dynamics in an
Al/AlOx/Ni80Fe20/Cu tunnel junction, where a Ni80Fe20 ferromagnetic layer is
brought into precession under the ferromagnetic resonance (FMR) conditions. The
dc voltage generated across the junction by the precessing ferromagnet is
enhanced about an order of magnitude compared to the voltage signal observed
when the contacts in this type of multilayered structure are ohmic. We discuss
the relation of this phenomenon to magnetic spin pumping and speculate on other
possible underlying mechanisms responsible for the enhanced electrical signal.


title:
High Bias Voltage Effect on Spin-Dependent Conductivity and Shot Noise
  in Carbon-doped Fe(001)/MgO(001)/Fe(001) Magnetic Tunnel Junctions

abstract:
  Low temperature (10K) high voltage bias dynamic conductivity (up to 2.7V) and
shot noise (up to 1V) were studied in epitaxial Fe(100)/Fe-C/MgO(100)/Fe(100)
magnetic tunnel junctions, as a function of the magnetic state. The junctions
show large tunnel magnetoresistance (185% at 300K and 330% at 4K). Multiple
sign inversion of the magnetoresistance is observed for bias polarity when the
electrons scan the electronic structure of the bottom Fe-C interface. The
shot-noise shows a Poissonian character. This demonstrates a pure spin
dependent direct tunneling mechanism and validates the high structural quality
of the MgO barrier.


title:
Symplectic Calabi-Yau manifolds, minimal surfaces and the hyperbolic
  geometry of the conifold

abstract:
  Given an SO(3)-bundle with connection, the associated two-sphere bundle
carries a natural closed 2-form. Asking that this be symplectic gives a
curvature inequality first considered by Reznikov. We study this inequality in
the case when the base has dimension four, with three main aims. Firstly, we
use this approach to construct symplectic six-manifolds with c_1=0 which are
never Kahler; e.g., we produce such manifolds with b_1=0=b_3 and also with
c_2.omega <0, answering questions posed by Smith-Thomas-Yau. Examples come from
Riemannian geometry, via the Levi-Civita connection on Lambda^+. The underlying
six-manifold is then the twistor space and often the symplectic structure tames
the Eells-Salamon twistor almost complex structure. Our second aim is to
exploit this to deduce new results about minimal surfaces: if a certain
curvature inequality holds, it follows that the space of minimal surfaces (with
fixed topological invariants) is compactifiable; the minimal surfaces must also
satisfy an adjunction inequality, unifying and generalising results of
Chen--Tian. One metric satisfying the curvature inequality is hyperbolic
four-space H^4. Our final aim is to show that the corresponding symplectic
manifold is symplectomorphic to the small resolution of the conifold xw-yz=0 in
C^4. We explain how this fits into a hyperbolic description of the conifold
transition, with isometries of H^4 acting symplectomorphically on the
resolution and isometries of H^3 acting biholomorphically on the smoothing.


title: Presque $\mathbf{C}_p$-repr\'esentations et $(\phi,\Gamma)$-modules

abstract:
  We associate two almost $C_p$-representations to a $(\phi,\Gamma)$-module,
and we compute their dimensions and heights. As a corollary, we get a full
faithfulness result for $B_e$-representations.


title: Luminous K-band Selected Quasars from UKIDSS

abstract:
  The largest K-band flux-limited sample of luminous quasars to date has been
constructed from the UKIDSS Large Area Survey Early Data Release, covering an
effective area of 12.8 deg^2. Exploiting the K-band excess of all quasars with
respect to foreground stars, including quasars experiencing dust reddening and
objects with non-standard SEDs, a list of targets suitable for spectroscopic
follow-up observations with the AAOmega multi-object spectrograph is
constructed, resulting in more than 200 confirmed AGN. KX-selection
successfully identifies as quasar candidates objects that are excluded from the
SDSS quasar selection algorithm due to their colours being consistent with the
stellar locus in optical colour space (with the space density of the excluded
objects agreeing well with results from existing completeness analyses). Nearly
half of the KX-selected quasars with K<17.0 at z<3 are too faint in the i-band
to have been targeted by the SDSS quasar selection algorithm, revealing a large
population of quasars with red i-K colours. The majority of these objects have
significant amounts of host galaxy light contributing to their K-band
magnitudes, consistent with previous predictions. The remaining objects are
morphologically stellar and have colours consistent with quasars experiencing
SMC-type reddening with 0.10<E(B-V)<0.25. The i-K colour distribution indicates
that <10 per cent of the quasar population is missing from this K-band selected
sample due to dust reddening, and comparisons with simulations strongly favour
an obscured fraction of <20 per cent. (Abridged)


title: Cohomology of diagrams of algebras

abstract:
  We consider cohomology of diagrams of algebras by Beck's approach, using
comonads. We then apply this theory to computing the cohomology of
$\Psi$-rings. Our main result is that there is a spectral sequence connecting
the cohomology of the diagram of an algebra to the cohomology of the underlying
algebra.


title: Poincare duality complexes in dimension four

abstract:
  We describe an algebraic structure on chain complexes yielding algebraic
models which classify homotopy types of Poincare duality complexes of dimension
4. Generalizing Turaev's fundamental triples of Poincare duality complexes of
dimension 3, we introduce fundamental triples for Poincare duality complexes of
dimension n > 2 and show that two Poincare duality complexes are orientedly
homotopy equivalent if and only if their fundamental triples are isomorphic. As
applications we establish a conjecture of Turaev and obtain a criterion for the
existence of degree 1 maps between n-dimensional manifolds.


title: A Note on Walking Versus Waiting

abstract:
  This mathematical recreation extends the analysis of a recent paper, asking
when a traveller at a bus stop and not knowing the time of the next bus is best
advised to wait or to start walking toward the destination. A detailed analysis
and solution is provided for a very general class of probability distributions
of bus arrival time, and the solution characterised in terms of a function
analogous to the hazard rate in reliability theory. The note also considers the
question of intermediate stops. It is found that the optimal strategy is not
always the laziest, even when headways are not excessively long. For the common
special case where one knows the (uniform) headway but not the exact timetable,
it is shown that one should wait if the headway is less than the walking time
(less bus travel time), and walk if the headway is more than twice this much.
In between it may be better to wait or to walk, depending on one's confidence
in being able to catch up to a passing bus.


title: Random walk on a discrete torus and random interlacements

abstract:
  We investigate the relation between the local picture left by the trajectory
of a simple random walk on the torus (Z/NZ)^d, d >= 3, until u N^d time steps,
u > 0, and the model of random interlacements recently introduced by Sznitman.
In particular, we show that for large N, the joint distribution of the local
pictures in the neighborhoods of finitely many distant points left by the walk
up to time u N^d converges to independent copies of the random interlacement at
level u.


title:
Factorization and NLO QCD correction in e^+ e^- \to J/\psi (\psi(2S))+
  \chi_{c0} at B Factories}

abstract:
  In nonrelativistic QCD (NRQCD), we study $e^+ e^- \to J/\psi(\psi(2S))
+\chi_{c0}$ at $B$ factories, where the P-wave state $\chi_{c0}$ is associated
with an S-wave state $J/\psi$ or $\psi(2S)$. In contrast to the failure of
factorization in most cases involving P-wave states, e.g. in B decays, we find
that factorization holds in this process at next to leading order (NLO) in
$\alpha_s$ and leading order (LO) in $v$, where the associated S-wave state
plays a crucial rule in canceling the infrared (IR) divergences. We also give
some general analyses for factorization in various double charmonium
production. The NLO corrections in $e^+ e^- \to J/\psi(\psi(2S)) +\chi_{c0}$ at
$\sqrt{s}=10.6$ GeV are found to substantially enhance the cross sections by a
factor of about 2.8; hence crucially reduce the large discrepancy between
theory and experiment. With $m_c=1.5{\rm GeV}$ and $\mu=2m_c$, the NLO cross
sections are estimated to be $17.9(11.3)$ fb for $e^+ e^- \to J/\psi(\psi(2S))+
\chi_{c0}$, which reach the lower bounds of experiment.


title: Theoretical construction of wormholes supported by Chaplygin gas

abstract:
  The purpose of this paper is to examine the possible existence or
construction of traversable wormholes supported by generalized Chaplygin gas
(GCG) by starting with a general line element and the Einstein tensor, together
with the equation of state, thereby continuing an earlier study by the author
of wormholes supported by phantom energy. Numerical techniques are used to
demonstrate the existence of wormhole spacetimes that (1) meet the flare-out
conditions at the throat, (2) are traversable by humanoid travelers, thanks to
low tidal forces and short proper distances near the throat, and (3) are
asymptotically flat. There appears to be an abundance of solutions that avoid
an event horizon, suggesting the possibility of naturally occurring wormholes.


title: Curves over higher local fields

abstract:
  In this work, we prove the vanishing of the two cohomological group of the
higher local field. This generalize the well-known propriety of finite field
and one dimensional local field. We apply this result to study the arithmetic
of curve defined over higher local field.


title:
The Giant Dipole Resonance as a quantitative constraint on the symmetry
  energy

abstract:
  The possible constraints on the poorly determined symmetry part of the
effective nuclear Hamiltonians or effective energy functionals, i.e., the
so-called symmetry energy S(rho), are very much under debate. In the present
work, we show that the value of the symmetry energy associated with Skyrme
functionals, at densities rho around 0.1 fm^{-3}, is strongly correlated with
the value of the centroid of the Giant Dipole Resonance (GDR) in spherical
nuclei. Consequently, the experimental value of the GDR in, e.g., 208Pb can be
used as a constraint on the symmetry energy, leading to 23.3 MeV < S(rho=0.1
fm^{-3}) < 24.9 MeV.


title: Extension of C*-bundles

abstract:
  Different (fibrewise) amalgamated products of continuous C*-bundles have been
studied over the last years, one of the main question being to know when these
amalgamated products are continuous C*-bundles. In order to gather these
approaches in a joint framework, we first recall a few definitions from the
theory of deformations of C*-algebras and we fix several notations that will be
used in the sequel. Then we characterise the continuity properties of different
amalgamated products of (continuous) C(X)-algebras.


title:
Onset of Magnetic Order in Strongly-Correlated Systems from ab initio
  Electronic Structure Calculations: Application to Transition Metal Oxides

abstract:
  We describe an ab initio theory of finite temperature magnetism in
strongly-correlated electron systems. The formalism is based on spin density
functional theory, with a self-interaction corrected local spin density
approximation (SIC-LSDA). The self-interaction correction is implemented
locally, within the KKR multiple-scattering method. Thermally induced magnetic
fluctuations are treated using a mean-field `disordered local moment' (DLM)
approach and at no stage is there a fitting to an effective Heisenberg model.
We apply the theory to the 3d transition metal oxides, where our calculations
reproduce the experimental ordering tendencies, as well as the qualitative
trend in ordering temperatures. We find a large insulating gap in the
paramagnetic state which hardly changes with the onset of magnetic order.


title: On the geometry of ground states and quasicrystals for lattice systems

abstract:
  This paper has been withdrawn. It will be split into two separate papers. New
results will be added in both papers.


title: Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills

abstract:
  We give a description of the complete 1/N expansion of SU(N) 2D Yang Mills
theory in terms of the moduli space of holomorphic maps from non-singular
worldsheets. This is related to the Gross-Taylor coupled 1/N expansion through
a map from Brauer algebras to symmetric groups. These results point to an
equality between Euler characters of moduli spaces of holomorphic maps from
non-singular worldsheets with a target Riemann surface equipped with markings
on the one hand and Euler characters of another moduli space involving
worldsheets with double points (nodes).


title: Noise-induced effects in high-speed reversal of magnetic dipole

abstract:
  The effect of noise on the reversal of a magnetic dipole is investigated on
the basis of computer simulation of the Landau-Lifshits equation. It is
demonstrated that at the reversal by the pulse with sinusoidal shape, there
exists the optimal duration, which minimizes the mean reversal time (MRT) and
the standard deviation (jitter). Both the MRT and the jitter significantly
depend on the angle between the reversal magnetic field and the anisotropy
axis. At the optimal angle the MRT can be decreased by 7 times for damping
$\alpha$=1 and up to 2 orders of magnitude for $\alpha$=0.01, and the jitter
can be decreased from 1 to 3 orders of magnitude in comparison with the
uniaxial symmetry case.


title: GRAVITAS: Portraits of a Universe in Motion

abstract:
  GRAVITAS is a self-published DVD that presents a visual and musical
celebration of the beauty in a dynamic universe driven by gravity. Animations
from supercomputer simulations of forming galaxies, star clusters, galaxy
clusters, and galaxy interactions are presented as moving portraits of cosmic
evolution. Billions of years of complex gravitational choreography are
presented in 9 animations - each one interpreted with an original musical
composition inspired by the exquisite movements of gravity. The result is an
emotive and spiritually uplifting synthesis of science and art. The GRAVITAS
DVD has been out for two years now but I am now making the DVD disk image
freely available for personal and educational use through a bittorrent
download. Download and burn at your leisure. The animations are also
downloadable in various video formats.


title:
Outward Accessibility in Urban Street Networks: Characterization and
  Improvements

abstract:
  The dynamics of transportation through towns and cities is strongly affected
by the topology of the connections and routes. The current work describes an
approach combining complex networks and self-avoiding random walk dynamics in
order to quantify in objective and accurate manner, along a range of spatial
scales, the accessibility of places in towns and cities. The transition
probabilities are estimated for several lengths of the walks and used to
calculate the outward accessibility of each node. The potential of the
methodology is illustrated with respect to the characterization and
improvements of the accessibility of the town of Sao Carlos.


title: Coarse embeddability into Banach spaces

abstract:
  The main purposes of this paper are (1) To survey the area of coarse
embeddability of metric spaces into Banach spaces, and, in particular, coarse
embeddability of different Banach spaces into each other; (2) To present new
results on the problems: (a) Whether coarse non-embeddability into $\ell_2$
implies presence of expander-like structures? (b) To what extent $\ell_2$ is
the most difficult space to embed into?


title:
Stability of the A-like Phase of Superfluid 3He in Aerogel with Globally
  Anisotropic Scattering

abstract:
  It has been suggested that anisotropic quasiparticle scattering will
stabilize anisotropic phases of superfluid $^3$He contained within highly
porous silica aerogel. For example, global anisotropy introduced via uniaxial
compression of aerogel might stabilize the axial state, which is called the
A-phase in bulk superfluid 3He. Here we present measurements of the phase
diagram of superfluid 3He in a 98% porous silica aerogel using transverse
acoustic impedance methods. We show that uniaxial compression of the aerogel by
17% does not stabilize an axial phase.


title:
Current Helicity and Twist as Two Indicators of The Mirror Asymmetry of
  solar Magnetic Fields

abstract:
  A comparison between the two tracers of magnetic field mirror asymmetry in
solar active regions, twist and current helicity, is presented. It is shown
that for individual active regions these tracers do not possess visible
similarity while averaging by time over the solar cycle, or by latitude,
reveals similarities in their behaviour. The main property of the dataset is
anti-symmetry over the solar equator. Considering the evolution of helical
properties over the solar cycle we find signatures of a possible sign change at
the beginning of the cycle, though more systematic observational data are
required for a definite confirmation. We discuss the role of both tracers in
the context of the solar dynamo theory.


title: A cascade of determinantal Calabi--Yau threefolds

abstract:
  We study Kustin--Miller unprojections of Calabi--Yau threefolds. As an
application we work out the geometric properties of Calabi--Yau threefolds
defined as linear sections of determinantal varieties. We compute their Hodge
numbers and describe the morphisms corresponding to the faces of their
K\"{a}hler--Mori cone.


title:
Entanglement of Remote Spins with Unequal Coupling to an Optically
  Active Mediator

abstract:
  We demonstrate that two remote qubits can be entangled through an optically
active intermediary even if the coupling strengths between mediator and qubits
are different. This is true for a broad class of interactions. We consider two
contrasting scenarios. First, we extend the analysis of a previously studied
gate operation which relies on pulsed, dynamical control of the optical state
and which may be performed quickly. We show that remote spins can be entangled
in this case even when the intermediary coupling strengths are unequal. Second,
we propose an alternative adiabatic control procedure, and find that the system
requirements become even less restrictive in this case. The scheme could be
tested immediately in a range of systems including molecules, quantum dots, or
defects in crystals.


title:
Modularity produces small-world networks with dynamical time-scale
  separation

abstract:
  The functional consequences of local and global dynamics can be very
different in natural systems. Many such systems have a network description that
exhibits strong local clustering as well as high communication efficiency,
often termed as small-world networks (SWN). We show that modular organization
in otherwise random networks generically give rise to SWN, with a
characteristic time-scale separation between fast intra-modular and slow
inter-modular processes. The universality of this dynamical signature, that
distinguishes modular networks from earlier models of SWN, is demonstrated by
processes as different as spin-ordering, synchronization and diffusion.


title: Physics Beyond the Standard Model: Supersymmetry

abstract:
  This collection of studies on new physics at the LHC constitutes the report
of the supersymmetry working group at the Workshop `Physics at TeV Colliders',
Les Houches, France, 2007. They cover the wide spectrum of phenomenology in the
LHC era, from alternative models and signatures to the extraction of relevant
observables, the study of the MSSM parameter space and finally to the interplay
of LHC observations with additional data expected on a similar time scale. The
special feature of this collection is that while not each of the studies is
explicitely performed together by theoretical and experimental LHC physicists,
all of them were inspired by and discussed in this particular environment.


title: Two loop stress-energy tensor for inflationary scalar electrodynamics

abstract:
  We calculate the expectation value of the coincident product of two field
strength tensors at two loop order in scalar electrodynamics on de Sitter
background. The result agrees with the stochastic formulation which we have
developed in a companion paper [2] for the nonperturbative resummation of
leading logarithms of the scale factor. When combined with a previous
computation of scalar bilinears [1], our current result also gives the two loop
stress-energy tensor for inflationary scalar electrodynamics. This shows a
secular decrease in the vacuum energy which derives from the vacuum
polarization induced by the inflationary production of charged scalars.


title: The Mesonic Branch of the Deformed Conifold

abstract:
  Using coordinates that manifest the S^2-S^3 split of the base, we study
D3-branes localized on the three-sphere in the Klebanov-Strassler background.
We find a numerical solution for the warp factor and show the emergence of the
AdS throat near the stack. In the dual gauge theory, this corresponds to an RG
flow along the mesonic branch. We demonstrate how the cubic superpotential of
the N=4 SYM theory emerges at the end of the RG flow.