title:
Identification of the dominant precession damping mechanism in Fe, Co,
  and Ni by first-principles calculations

abstract:
  The Landau-Lifshitz equation reliably describes magnetization dynamics using
a phenomenological treatment of damping. This paper presents first-principles
calculations of the damping parameters for Fe, Co, and Ni that quantitatively
agree with existing ferromagnetic resonance measurements. This agreement
establishes the dominant damping mechanism for these systems and takes a
significant step toward predicting and tailoring the damping constants of new
materials.


title: Recurrence and P\'olya number of quantum walks

abstract:
  We analyze the recurrence probability (P\'olya number) for d-dimensional
unbiased quantum walks. A sufficient condition for a quantum walk to be
recurrent is derived. As a by-product we find a simple criterion for
localisation of quantum walks. In contrast to classical walks, where the
P\'olya number is characteristic for the given dimension, the recurrence
probability of a quantum walk depends in general on the topology of the walk,
choice of the coin and the initial state. This allows to change the character
of the quantum walk from recurrent to transient by altering the initial state.


title: Integral group ring of the Mathieu simple group M24

abstract:
  We consider the Zassenhaus conjecture for the normalized unit group of the
integral group ring of the Mathieu sporadic group $M_{24}$. As a consequence,
for this group we confirm Kimmerle's conjecture on prime graphs.


title: Network structure of chaotic patterns

abstract:
  We reduce complex stripped patterns to a basic topological network of edges
and vertices to define defects and measure their influence on the pattern. We
present statistics on the spatial and temporal distribution of defects within
the state of spiral defect chaos state in experiments on Rayleigh Benard
convection. These measure the role of boundary influence on the dynamics, and
suggest an exponential distribution for the length of edges in the pattern. We
also indicate a systematic method to study hierarchies of defect interactions
based on the network structure.


title: Testing the Accuracy of Synthetic Stellar Libraries

abstract:
  In the present work we compare in detail some of the major theoretical
libraries with observations, aiming at detecting weaknesses and strengths from
the stellar population modelling point of view. We compared model predictions
and observations for broad- band colours and for high resolution spectral
features. Concerning the broad-band colours, we measured the stellar colour
given by three recent sets of model atmospheres and flux distributions(Castelli
& Kurucz 2003; Gustafsson et al. 2003; Brott & Hauschildt 2005), and compared
them with a recent UBVRIJHK calibration (Worthey & Lee 2007). We found that the
models can reproduce with reasonable accuracy the stellar colours for a fair
interval in effective temperatures and gravities. The exceptions are: 1) the
U-B colour, where the models are typically redder than the observations, and;
2) the very cool stars in general (V-K > ~3).Concerning the high resolution
features, we measured 35 spectral indices defined in the literature on three
high resolution synthetic libraries (Coelho et al. 2005; Martins et al. 2005;
Munari et al. 2005), and compared them with the observed measurements given by
three empirical libraries (Valdes et al.2004; Sanchez-Blazquez et al. 2006;
Prugniel & Soubiran 2001). We found that the direct comparison between models
and observations is not a simple task, given the uncertainties in parameter
determinations of empirical libraries. Taking that aside, we found that in
general the three libraries present similar behaviours and systematic
deviations. For stars with Teff < 7000K, the library by Coelho et al. (2005) is
the one with best average performance. We detect that lists of atomic and
molecular line opacities still need improvement, specially in the blue region
of thespectrum, and for the cool stars (Teff < ~4500K).


title: Minimal Pati-Salam Model from String Theory Unification

abstract:
  We provide what we believe is the minimal three family ${\cal N} = 1$ SUSY
and conformal Pati-Salam Model from type IIB superstring theory. This $Z_3$
orbifolded AdS$\otimes S^5$ model has long lived protons and has potential
phenomenological consequences for LHC.


title: Critique of "Quantum Enigma:Physic encounters Consciousness"

abstract:
  The central claim that understanding quantum mechanics requires a conscious
observer, which is made made by B. Rosenblum and F. Kuttner in their book
"Quantum Enigma: Physics encounters consciousnes", is shown to be based on
various misunderstandings and distortions of the foundations of quantum
mechanics.


title: Capillary Rise of Liquids in Nanopores

abstract:
  We present measurements on the spontaneous imbibition (capillary rise) of
water, a linear hydrocarbon (n-C16H34) and a liquid crystal (8OCB) into the
pore space of monolithic, nanoporous Vycor glass (mean pore radius 5 nm).
Measurements on the mass uptake of the porous hosts as a function of time,
m(t), are in good agreement with the Lucas-Washburn square root of time
prediction, typical of imbibition of liquids into porous hosts. The relative
capillary rise velocities scale as expected from the bulk fluid parameters.

categories: physics.flu-dyn cond-mat.soft physics.bio-ph physics.chem-ph


title:
Hamiltonian reductions of free particles under polar actions of compact
  Lie groups

abstract:
  Classical and quantum Hamiltonian reductions of free geodesic systems of
complete Riemannian manifolds are investigated. The reduced systems are
described under the assumption that the underlying compact symmetry group acts
in a polar manner in the sense that there exist regularly embedded, closed,
connected submanifolds meeting all orbits orthogonally in the configuration
space. Hyperpolar actions on Lie groups and on symmetric spaces lead to
families of integrable systems of spin Calogero-Sutherland type.


title: A first-order Temporal Logic for Actions

abstract:
  We present a multi-modal action logic with first-order modalities, which
contain terms which can be unified with the terms inside the subsequent
formulas and which can be quantified. This makes it possible to handle
simultaneously time and states. We discuss applications of this language to
action theory where it is possible to express many temporal aspects of actions,
as for example, beginning, end, time points, delayed preconditions and results,
duration and many others. We present tableaux rules for a decidable fragment of
this logic.


title: Energy of zeros of random sections on Riemann Surface

abstract:
  The purpose of this paper is to determine the asymptotic of the average
energy of a configuration of N zeros of system of random polynomials of degree
N as N tends to infinity and more generally the zeros of random holomorphic
sections of a line bundle L over any Riemann surface M. And we compare our
results to the well-known minimum of energies.


title: Search for $t\bar{t}$ resonances with the ATLAS detector

abstract:
  This paper has been withdrawn by the authors due to the violation of ATLAS
experiment publication policy.


title: Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries

abstract:
  After adding 7 auxiliary scalars to the d=10 super-Yang-Mills action, 9 of
the 16 supersymmetries close off-shell. In this paper, these 9 supersymmetry
generators are related by dimensional reduction to scalar and vector
topological symmetry in $\N$=2 d=8 twisted super-Yang-Mills. Furthermore, a
gauge-invariant superspace action is constructed for d=10 super-Yang-Mills
where the superfields depend on 9 anticommuting theta variables.


title: Anti-Proton Evolution in Little Bangs and Big Bang

abstract:
  The abundances of anti-protons and protons are considered within
momentum-integrated Boltzmann equations describing Little Bangs, i.e.,
fireballs created in relativistic heavy-ion collisions. Despite of a large
anti-proton annihilation cross section we find a small drop of the ratio of
anti-protons to protons from 170 MeV (chemical freeze-out temperature) till 100
MeV (kinetic freeze-out temperature) for CERN-SPS and BNL-RHIC energies thus
corroborating the solution of the previously exposed "ani-proton puzzle". In
contrast, the Big Bang evolves so slowly that the anti-baryons are kept for a
long time in equilibrium resulting in an exceedingly small fraction. The
adiabatic path of cosmic matter in the phase diagram of strongly interacting
matter is mapped out.


title: TrES-3: A Nearby, Massive, Transiting Hot Jupiter in a 31-Hour Orbit

abstract:
  We describe the discovery of a massive transiting hot Jupiter with a very
short orbital period (1.30619 d), which we name TrES-3. From spectroscopy of
the host star GSC 03089-00929, we measure T_eff = 5720 +- 150 K, logg=4.6 +-
0.3, and vsini < 2 km/s, and derive a stellar mass of 0.90 +- 0.15 M_sun. We
estimate a planetary mass of 1.92 +- 0.23 M_Jup, based on the sinusoidal
variation of our high-precision radial velocity measurements. This variation
has a period and phase consistent with our transit photometry. Our spectra show
no evidence of line bisector variations that would indicate a blended eclipsing
binary star. From detailed modeling of our B and z photometry of the 2.5%-deep
transits, we determine a stellar radius 0.802 +- 0.046 R_sun and a planetary
radius 1.295 +- 0.081 R_Jup. TrES-3 has one of the shortest orbital periods of
the known transiting exoplanets, facilitating studies of orbital decay and mass
loss due to evaporation, and making it an excellent target for future studies
of infrared emission and reflected starlight.


title: Regular motions in double bars. I. Double-frequency orbits and loops

abstract:
  Bars in galaxies are mainly supported by particles trapped around stable
periodic orbits. These orbits represent oscillatory motion with only one
frequency, which is the bar driving frequency, and miss free oscillations. We
show that a similar situation takes place in double bars: particles get trapped
around parent orbits, which in this case represent oscillatory motion with two
frequencies of driving by the two bars, and which also lack free oscillations.
Thus the parent orbits, which constitute the backbone of an oscillating
potential of two independently rotating bars, are the double-frequency orbits.
These orbits do not close in any reference frame, but they map onto loops,
first introduced by Maciejewski & Sparke (1997). Trajectories trapped around
the parent double-frequency orbit map onto a set of points confined within a
ring surrounding the loop.


title: Polarization-selective excitation of N-V centers in diamond

abstract:
  The nitrogen-vacancy (N-V) center in diamond is promising as an electron spin
qubit due to its long-lived coherence and optical addressability. The ground
state is a spin triplet with two levels ($m_s = \pm 1$) degenerate at zero
magnetic field. Polarization-selective microwave excitation is an attractive
method to address the spin transitions independently, since this allows
operation down to zero magnetic field. Using a resonator designed to produce
circularly polarized microwaves, we have investigated the polarization
selection rules of the N-V center. We first apply this technique to N-V
ensembles in [100] and [111]-oriented samples. Next, we demonstrate an imaging
technique, based on optical polarization dependence, that allows rapid
identification of the orientations of many single N-V centers. Finally, we test
the microwave polarization selection rules of individual N-V centers of known
orientation.


title: SUSY: New Perspectives and Variants

abstract:
  Although supersymmetry (SUSY) is thirty five years old, it is still one of
the most attractive theories for physics beyond the standard model. Assuming
that SUSY will be discovered at the LHC, the key question is: What SUSY model
do we expect to be the correct one ? After reviewing briefly the advantages and
problems of SUSY, several interesting models that have been proposed in the
literature will be discussed. In particular, models such as the MSSM, BRpV,
NMSSM, and possible extensions. We will also introduce the $\mu\nuSSM$ whose
interest resides in the fact that it generates a solution to the (famous) $\mu$
problem of SUSY models that is connected to the (nowadays very popular)
neutrino physics.


title: CP Violation From Standard Model to Strings

abstract:
  A review of CP violation from the Standard Model to strings is given which
includes a broad landscape of particle physics models, encompassing the
non-supersymmetric 4D extensions of the standard model, and models based on
supersymmetry, on extra dimensions, on strings and on branes. The
supersymmetric models discussed include complex mSUGRA and its extensions,
while the models based on extra dimensions include 5D models including models
based on warped geometry. CP violation beyond the standard model is central to
achieving the desired amount of baryon asymmetry in the universe via
baryogenesis and leptogenesis. They also affect a variety of particle physics
phenomena: electric dipole moments, $g-2$, relic density and detection rates
for neutralino dark matter in supersymmetric theories, Yukawa unification in
grand unified and string based models, and sparticle production cross sections,
and their decays patterns and signatures at hadron colliders. Additionally CP
violations can generate CP even-CP odd Higgs mixings, affect the neutral Higgs
spectrum and lead to phenomena detectable at colliders. Prominent among these
are the CP violation effects in decays of neutral and charged Higgs bosons.
Neutrino masses introduce new sources of CP violation which will be explored in
neutrino factories in the future. Such phases can also enter in proton
stability in unified models of particle interactions. The current experimental
status of CP violation is discussed and possibilities for the future outlined.


title: Bit-Interleaved Coded Multiple Beamforming with Imperfect CSIT

abstract:
  This paper addresses the performance of bit-interleaved coded multiple
beamforming (BICMB) [1], [2] with imperfect knowledge of beamforming vectors.
Most studies for limited-rate channel state information at the transmitter
(CSIT) assume that the precoding matrix has an invariance property under an
arbitrary unitary transform. In BICMB, this property does not hold. On the
other hand, the optimum precoder and detector for BICMB are invariant under a
diagonal unitary transform. In order to design a limited-rate CSIT system for
BICMB, we propose a new distortion measure optimum under this invariance. Based
on this new distortion measure, we introduce a new set of centroids and employ
the generalized Lloyd algorithm for codebook design. We provide simulation
results demonstrating the performance improvement achieved with the proposed
distortion measure and the codebook design for various receivers with linear
detectors. We show that although these receivers have the same performance for
perfect CSIT, their performance varies under imperfect CSIT.


title: Photoproduction of phi meson off deuteron near threshold

abstract:
  We discuss coherent and incoherent $\phi$ meson photoproduction off the
deuteron at low energy and small momentum transfer with the aim to check
whether the recent experimental data need for their interpretation the
inclusion of exotic channels. Our analysis of the differential cross section
and spin-density matrix elements shows that the existing data may be understood
on the base of conventional dynamics. For a firm conclusion about a possible
manifestation of exotic channels one has to improve the resolution of the data
with providing additional information on channels with spin- and double-spin
flip transitions being sensitive to the properties of the photoproduction
amplitude in $\gamma p$ and $\gamma D$ reactions.


title: Multi-Dimensional Recurrent Neural Networks

abstract:
  Recurrent neural networks (RNNs) have proved effective at one dimensional
sequence learning tasks, such as speech and online handwriting recognition.
Some of the properties that make RNNs suitable for such tasks, for example
robustness to input warping, and the ability to access contextual information,
are also desirable in multidimensional domains. However, there has so far been
no direct way of applying RNNs to data with more than one spatio-temporal
dimension. This paper introduces multi-dimensional recurrent neural networks
(MDRNNs), thereby extending the potential applicability of RNNs to vision,
video processing, medical imaging and many other areas, while avoiding the
scaling problems that have plagued other multi-dimensional models. Experimental
results are provided for two image segmentation tasks.


title:
Implications for the Constrained MSSM from a new prediction for b to s
  gamma

abstract:
  We re-examine the properties of the Constrained MSSM in light of updated
constraints, paying particular attention to the impact of the recent
substantial shift in the Standard Model prediction for BR(B to X_s gamma). With
the help of a Markov Chain Monte Carlo scanning technique, we vary all relevant
parameters simultaneously and derive Bayesian posterior probability maps. We
find that the case of \mu>0 remains favored, and that for \mu<0 it is
considerably more difficult to find a good global fit to current constraints.
In both cases we find a strong preference for a focus point region. This leads
to improved prospects for detecting neutralino dark matter in direct searches,
while superpartner searches at the LHC become more problematic, especially when
\mu<0. In contrast, prospects for exploring the whole mass range of the
lightest Higgs boson at the Tevatron and the LHC remain very good, which
should, along with dark matter searches, allow one to gain access to the
otherwise experimentally challenging focus point region. An alternative measure
of the mean quality-of-fit which we also employ implies that present data are
not yet constraining enough to draw more definite conclusions. We also comment
on the dependence of our results on the choice of priors and on some other
assumptions.


title:
Field theoretic description of the abelian and non-abelian Josephson
  effect

abstract:
  We formulate the Josephson effect in a field theoretic language which affords
a straightforward generalization to the non-abelian case. Our formalism
interprets Josephson tunneling as the excitation of pseudo-Goldstone bosons. We
demonstrate the formalism through the consideration of a single junction
separating two regions with a purely non-abelian order parameter and a sandwich
of three regions where the central region is in a distinct phase. Applications
to various non-abelian symmetry breaking systems in particle and condensed
matter physics are given.


title:
Asymptotics of Fixed Point Distributions for Inexact Monte Carlo
  Algorithms

abstract:
  We introduce a simple general method for finding the equilibrium distribution
for a class of widely used inexact Markov Chain Monte Carlo algorithms. The
explicit error due to the non-commutivity of the updating operators when
numerically integrating Hamilton's equations can be derived using the
Baker-Campbell-Hausdorff formula. This error is manifest in the conservation of
a ``shadow'' Hamiltonian that lies close to the desired Hamiltonian. The fixed
point distribution of inexact Hybrid algorithms may then be derived taking into
account that the fixed point of the momentum heatbath and that of the molecular
dynamics do not coincide exactly. We perform this derivation for various
inexact algorithms used for lattice QCD calculations.


title: Dynamics of excitations in a one-dimensional Bose liquid

abstract:
  We show that the dynamic structure factor of a one-dimensional Bose liquid
has a power-law singularity defining the main mode of collective excitations.
Using the Lieb-Liniger model, we evaluate the corresponding exponent as a
function of the wave vector and the interaction strength.


title: Scaling analysis of the magnetoresistance in Ga_{1-x}Mn_xAs

abstract:
  We compare experimental resistivity data on Ga_{1-x}Mn_xAs films with
theoretical calculations using a scaling theory for strongly disordered
ferromagnets. All characteristic features of the temperature dependence of the
resistivity can be quantitatively understood through this approach as
originating from the close vicinity of the metal-insulator transition. In
particular, we find that the magnetic field induced changes in resistance
cannot be explained within a mean-field treatment of the magnetic state, and
that accounting for thermal fluctuations is crucial for a quantitative
analysis. Similarly, while the non-interacting scaling theory is in reasonable
agreement with the data, we find clear evidence in favor of interaction effects
at low temperatures.


title:
High Metallicity of the X-Ray Gas up to the Virial Radius of a Binary
  Cluster of Galaxies: Evidence of Galactic Superwinds at High-Redshift

abstract:
  We present an analysis of a Suzaku observation of the link region between the
galaxy clusters A399 and A401. We obtained the metallicity of the intracluster
medium (ICM) up to the cluster virial radii for the first time. We determine
the metallicity where the virial radii of the two clusters cross each other (~2
Mpc away from their centers) and found that it is comparable to that in their
inner regions (~0.2 Zsun). It is unlikely that the uniformity of metallicity up
to the virial radii is due to mixing caused by a cluster collision. Since the
ram-pressure is too small to strip the interstellar medium of galaxies around
the virial radius of a cluster, the fairly high metallicity that we found there
indicates that the metals in the ICM are not transported from member galaxies
by ram-pressure stripping. Instead, the uniformity suggests that the
proto-cluster region was extensively polluted with metals by extremely powerful
outflows (superwinds) from galaxies before the clusters formed. We also
searched for the oxygen emission from the warm--hot intergalactic medium in
that region and obtained a strict upper limit of the hydrogen density
(nH<4.1x10^-5 cm^-3).


title: Neutrino Dark Energy -- Revisiting the Stability Issue

abstract:
  A coupling between a light scalar field and neutrinos has been widely
discussed as a mechanism for linking (time varying) neutrino masses and the
present energy density and equation of state of dark energy. However, it has
been pointed out that the viability of this scenario in the non-relativistic
neutrino regime is threatened by the strong growth of hydrodynamic
perturbations associated with a negative adiabatic sound speed squared. In this
paper we revisit the stability issue in the framework of linear perturbation
theory in a model independent way. The criterion for the stability of a model
is translated into a constraint on the scalar-neutrino coupling, which depends
on the ratio of the energy densities in neutrinos and cold dark matter. We
illustrate our results by providing meaningful examples both for stable and
unstable models.


title: Vscape V1.1.0 - An Interactive Tool for Metastable Vacua

abstract:
  Vscape is an interactive tool for studying the one-loop effective potential
of an ungauged supersymmetric model of chiral multiplets. The program allows
the user to define a supersymmetric model by specifying the superpotential. The
F-terms and the scalar and fermionic mass matrices are calculated symbolically.
The program then allows you to search numerically for (meta)stable minima of
the one-loop effective potential. Additional commands enable you to further
study specific minima, by e.g. computing the mass spectrum for those vacua.
Vscape combines the flexibility of symbolic software, with the speed of a
numerical package.


title: Expanding F-Theory

abstract:
  We construct a general class of new time dependent solutions of non-linear
sigma models coupled to gravity. These solutions describe configurations of
expanding or contracting codimension two solitons which are not subject to a
constraint on the total tension. The two dimensional metric on the space
transverse to the defects is determined by the Liouville equation. This space
can be compact or non-compact, and of any topology. We show that this
construction can be applied naturally in type IIB string theory to find
backgrounds describing a number of 7-branes larger than 24.


title:
The Frequency Distribution of Semi-major Axis of Wide Binaries.
  Cosmogony and Dynamical Evolution

abstract:
  The frequency distribution f(a) of semi-major axis of double and multiple
systems, as well as their eccentricities and mass ratios, contain valuable
fossil information about the process of star formation and the dynamical
history of the systems. In order to advance in the understanding of these
questions, we have made an extensive analysis of the frequency distribution f
(a) for wide binaries (a>25 AU) in the various published catalogues, as well as
in our own (Poveda et al., 1994; Allen et al., 2000; Poveda & Hernandez, 2003).
Based upon all these studies we have established that the frequency f(a) is
function of the age of the system and follows Oepik's distribution f(a) ~ 1/a
in the range of 100 AU < a < a[c](t), where a[c](t) is a critical semi-major
axis beyond which binaries have dissociated by encounters with massive objects.
We argue that the physics behind the distribution f(a) ~ 1/a is a process of
energy relaxation, analogous to that present in stellar clusters (secular
relaxation) or in spherical galaxies (violent relaxation). The frequency
distribution of mass ratios in triple systems as well as the existence of
runaway stars, indicate that both types of relaxation are important in the
process of binary and multiple star formation.


title:
Correlation between magnetostriction and polarization in orthorhombic
  manganites

abstract:
  Recently we have reported the observation of colossal magnetostriction effect
in HoMn2O5 single crystals. Besides we have made the supposition for possible
correlation between the peculiarities, observed in the field depended
polarization measurements, and the colossal magnetostriction effect at a 4.2 K
temperature. In this article we present our results received by polarization
and magnetostriction measurements on HoMn2O5 and TbMn2O5 single crystals and
the strong correlation between magnetostriction and polarization phase
transition for these two compounds. The origin of this correlation is
discussed.


title: Recovery of Hidden Interference in Mott Insulators

abstract:
  Particle statistics plays a crucial role in a strongly interacting quantum
many-body system. Here, we study the Hubbard model for distinguishable
particles at unit filling. Starting from the superfluid-like state in the
strong tunneling limit and gradually reducing the tunneling so that the on-site
repulsive interaction dominates, the state ends up in a symmetric superposition
of Mott insulator states. This result can be experimentally confirmed by the
recovery of interference patterns in the density correlation functions. We also
show that this state is a maximally entangled state, in contrast to the
standard picture.


title: An Area Law for One Dimensional Quantum Systems

abstract:
  We prove an area law for the entanglement entropy in gapped one dimensional
quantum systems. The bound on the entropy grows surprisingly rapidly with the
correlation length; we discuss this in terms of properties of quantum expanders
and present a conjecture on completely positive maps which may provide an
alternate way of arriving at an area law. We also show that, for gapped, local
systems, the bound on Von Neumann entropy implies a bound on R\'{e}nyi entropy
for sufficiently large $\alpha<1$ and implies the ability to approximate the
ground state by a matrix product state.

categories: quant-ph cond-mat.str-el math-ph math.MP


title: Improved estimates of rare K decay matrix-elements from Kl3 decays

abstract:
  The estimation of rare K decay matrix-elements from Kl3 experimental data is
extended beyond LO in Chiral Perturbation Theory. Isospin-breaking effects at
NLO (and partially NNLO) in the ChPT expansion, as well as QED radiative
corrections are now accounted for. The analysis relies mainly on the cleanness
of two specific ratios of form-factors, for which the theoretical control is
excellent. As a result, the uncertainties on the K+ --> pi+ nu nubar and KL -->
pi0 nu nubar matrix-elements are reduced by a factor of about 7 and 4,
respectively, and similarly for the direct CP-violating contribution to KL -->
pi0 l+ l-. They could be reduced even further with better experimental data for
the Kl3 slopes and the K+l3 branching ratios. As a result, the non-parametric
errors for B(K --> pi nu nubar) and for the direct CP-violating contributions
to B(KL --> pi0 l+ l-) are now completely dominated by those on the
short-distance physics.


title: Intrinsically Linked Graphs with Knotted Components

abstract:
  We construct a graph G such that any embedding of G into R^{3} contains a
nonsplit link of two components, where at least one of the components is a
nontrivial knot. Further, for any m < n we produce a graph H so that every
embedding of H contains a nonsplit n component link, where at least m of the
components are nontrivial knots.
  We then turn our attention to complete graphs and show that for any given n,
every embedding of a large enough complete graph contains a two component link
whose linking number is a nonzero multiple of n.


title: Measuring Electric Fields From Surface Contaminants with Neutral Atoms

abstract:
  In this paper we demonstrate a technique of utilizing magnetically trapped
neutral Rb-87 atoms to measure the magnitude and direction of stray electric
fields emanating from surface contaminants. We apply an alternating external
electric field that adds to (or subtracts from) the stray field in such a way
as to resonantly drive the trapped atoms into a mechanical dipole oscillation.
The growth rate of the oscillation's amplitude provides information about the
magnitude and sign of the stray field gradient. Using this measurement
technique, we are able to reconstruct the vector electric field produced by
surface contaminants. In addition, we can accurately measure the electric
fields generated from adsorbed atoms purposely placed onto the surface and
account for their systematic effects, which can plague a precision
surface-force measurement. We show that baking the substrate can reduce the
electric fields emanating from adsorbate, and that the mechanism for reduction
is likely surface diffusion, not desorption.


title:
Theory of superfast fronts of impact ionization in semiconductor
  structures

abstract:
  We present an analytical theory for impact ionization fronts in reversely
biased p^{+}-n-n^{+} structures. The front propagates into a depleted n base
with a velocity that exceeds the saturated drift velocity. The front passage
generates a dense electron-hole plasma and in this way switches the structure
from low to high conductivity. For a planar front we determine the
concentration of the generated plasma, the maximum electric field, the front
width and the voltage over the n base as functions of front velocity and doping
of the n base. Theory takes into account that drift velocities and impact
ionization coefficients differ between electrons and holes, and it makes
quantitative predictions for any semiconductor material possible.


title: Ultrahigh-energy neutrino flux as a probe of large extra-dimensions

abstract:
  A suppression in the spectrum of ultrahigh-energy (UHE, >= 10^{18} eV)
neutrinos will be present in extra-dimensional scenarios, due to enhanced
neutrino-antineutrino annihilation processes with the supernova relic
neutrinos. In the n>4 scenario, being n the number of extra dimensions,
neutrinos can not be responsible for the highest energy events observed in the
UHE cosmic ray spectrum. A direct implication of these extra-dimensional
interactions would be the absence of UHE neutrinos in ongoing and future
neutrino telescopes.


title: Relativity group for noninertial frames in Hamilton's mechanics

abstract:
  The group E(3)=SO(3) *s T(3), that is the homogeneous subgroup of the Galilei
group parameterized by rotation angles and velocities, defines the continuous
group of transformations between the frames of inertial particles in Newtonian
mechanics. We show in this paper that the continuous group of transformations
between the frames of noninertial particles following trajectories that satisfy
Hamilton's equations is given by the Hamilton group Ha(3)=SO(3) *s H(3) where
H(3) is the Weyl-Heisenberg group that is parameterized by rates of change of
position, momentum and energy, i.e. velocity, force and power. The group E(3)
is the inertial special case of the Hamilton group.


title:
The 12um ISO-ESO-Sculptor and 24um Spitzer faint counts reveal a
  population of ULIRG/AGN/dusty massive ellipticals Evolution by types and
  cosmic star formation

abstract:
  Multi-wavelength galaxy number counts provide clues on the nature of galaxy
evolution. The interpretation per galaxy type with the new code PEGASE.3 of the
12mu (ISO) and 24mu (Spitzer) faint galaxy counts provide new constraints on
the dust and stellar emission. It also reveals the nature of ULIRGs (L/Lsun >
10^12) and informs on the cosmic star formation history and the time-scales for
mass build-up. We firstly present the faint galaxy counts at 12um derived from
the catalogue of the ISO-ESO-Sculptor Survey (ISO-ESS) in a companion paper
(Seymour et al. 2007) which go down to 0.24 mJy after corrections for
incompleteness. We check that they are consistent with ISO number counts at
15um. Secondly we show that the ``normal'' scenarios which fit the deep
UV-optical-near-IR counts with PEGASE.2 (Fioc et al. 1999), are unsuccessful in
modelling the strong excess simultaneously observed in the cumulative and
differential counts at 12um, 15um and 24um. Based on observed 12mu and 25mu
IRAS luminosity functions and optical/mid-IR colors, we finally succeed in
modelling cumulative and differential counts by only changing 9% of normal
galaxies (1/3 of the ellipticals) into ultra-bright dusty elliptical galaxies,
interpreted as ULIRGs. This ULIRG population has similarities with high-z
radio-galaxy hosts. No number density evolution is included. The Herschel
observatory will hopefully confirm these results.


title:
Modeling the effects of HIV-1 virions and proteins on Fas-induced
  apoptosis of infected cells

abstract:
  We report a first in modeling and simulation of the effects of the HIV
proteins on the (caspase dependent) apoptotic pathway in infected cells. This
work is novel and is an extension on the recent reports and clarifications on
the FAS apoptotic pathway from the literature. We have gathered most of the
reaction rates and initial conditions from the literature, the rest of the
constants have been computed by fitting our model to the experimental results
reported. Using the model obtained we have then run the simulations for the
infected memory T cells, called also latent T cells, which, at the moment,
represent the major obstacle to finding a cure for HIV. We can now report that
the infected latent T cells have an estimated lifetime of about 42 hours from
the moment they are re-activated. As far as we know this is the first result of
this type obtained for the infected memory T cells.


title:
Gate-tuned high frequency response of carbon nanotube Josephson
  junctions

abstract:
  Carbon nanotube (CNT) Josephson junctions in the open quantum dot limit
exhibit superconducting switching currents which can be controlled with a gate
electrode. Shapiro voltage steps can be observed under radiofrequency current
excitations, with a damping of the phase dynamics that strongly depends on the
gate voltage. These measurements are described by a standard RCSJ model showing
that the switching currents from the superconducting to the normal state are
close to the critical current of the junction. The effective dynamical
capacitance of the nanotube junction is found to be strongly gate-dependent,
suggesting a diffusive contact of the nanotube.


title:
Stochastic approach of gravitational waves in presence of a decaying
  cosmological parameter from a 5D vacuum theory of gravity

abstract:
  We develop an stochastic approach to study gravitational waves produced
during the inflationary epoch under the presence of a decaying cosmological
parameter, on a 5D geometrical background which is Riemann flat. We obtain that
the squared tensor metric fluctuations depend strongly on the cosmological
parameter $\Lambda (t)$ and we finally illustrate the formalism with an example
of a decaying $\Lambda(t)$.


title: Head-On collisions of different initial data

abstract:
  We discuss possible origins for discrepancies observed in the radiated
energies in head-on collisions of non-spinning binaries starting from
Brill-Lindquist and superposed Kerr-Schild data. For this purpose, we discuss
the impact of different choices of gauge parameters and a small initial boost
of the black holes.


title: Physical Properties of Weak MgII Absorbers at z~2

abstract:
  We present the results of photoionization modeling of nine weak MgII (W_r<0.3
Ang) quasar absorption line systems with redshifts 1.4<z<2.4 obtained with the
Ultraviolet and Visual Echelle Spectrograph on the Very Large Telescope. These
systems have been chosen because they provide access to a regime of red-shift
space that previous weak MgII studies have not looked at. The densities,
metallicities, Doppler parameters, and column densities of these systems are
compared to those of other weak MgII systems at lower redshift. There is no
significant statistical variation in the properties of the absorbers over the
redshift range 0.4<z<2.4. The number density per unit redshift is known to
decrease for weak MgII absorbers between z~1 and z~2 by a greater amount than
predicted from cosmological effects and changes in the extragalactic ionizing
background alone. We suggest that, because the physical properties of the
absorber population are not seen to change significantly across this range,
that the evolution in dN/dz is due to a decrease in the activity that gives
rise to weak MgII absorption, and not due to a change in the processes that
form weak MgII absorbers. The presence of separate, but aligned (in velocity)
low and high density clouds in all single cloud weak MgII absorbers provides an
important diagnostic of their geometry. We discuss possible origins in dwarf
galaxies and in extragalactic analogs to high velocity clouds.


title: The shapes, orientation, and alignment of Galactic dark matter subhalos

abstract:
  We present a study of the shapes, orientations, and alignments of Galactic
dark matter subhalos in the ``Via Lactea'' simulation of a Milky Way-size LCDM
host halo. Whereas isolated dark matter halos tend to be prolate, subhalos are
predominantly triaxial. Overall subhalos are more spherical than the host halo,
with minor to major and intermediate to major axis ratios of 0.68 and 0.83,
respectively. Like isolated halos, subhalos tend to be less spherical in their
central regions. The principal axis ratios are independent of subhalo mass,
when the shapes are measured within a physical scale like r_Vmax, the radius of
the peak of the circular velocity curve. Subhalos tend to be slightly more
spherical closer to the host halo center. The spatial distribution of the
subhalos traces the prolate shape of the host halo when they are selected by
the largest V_max they ever had, i.e. before they experienced strong tidal mass
loss. The subhalos' orientation is not random: the major axis tends to align
with the direction towards the host halo center. This alignment disappears for
halos beyond 3 r_200 and is more pronounced when the shapes are measured in the
outer regions of the subhalos. The radial alignment is preserved during a
subhalo's orbit and they become elongated during pericenter passage, indicating
that the alignment is likely caused by the host halo's tidal forces. These
tidal interactions with the host halo act to make subhalos rounder over time.


title: Nanoscale ferromagnetism in non-magnetic doped semiconductors

abstract:
  While ferromagnetism at relatively high temperatures is seen in diluted
magnetic semiconductors such as Ga_(1-x)Mn_(x)As, doped semiconductors without
magnetic ions have not shown evidence for ferromagnetism. Using a generalized
disordered Hubbard model designed to characterize hydrogenic centers in
semiconductors, we find that such systems may also exhibit a ferromagnetic
ground state, at least on the nanoscale. This is found most clearly in a regime
inaccessible to bulk systems, but attainable in quantum dots as well as
heterostructures. We present numerical results demonstrating the occurrence of
high spin ground states in both lattice and positionally disordered systems. We
examine how the magnetic phases are affected by characteristics of real doped
semiconductors, such as positional disorder and electron-hole asymmetry.


title:
Distances to Populous Clusters in the LMC via the K-Band Luminosity of
  the Red Clump

abstract:
  We present results from a study of the distances and distribution of a sample
of intermediate-age clusters in the Large Magellanic Cloud. Using deep
near-infrared photometry obtained with ISPI on the CTIO 4m, we have measured
the apparent K-band magnitude of the core helium burning red clump stars in 17
LMC clusters. We combine cluster ages and metallicities with the work of
Grocholski & Sarajedini to predict each cluster's absolute K-band red clump
magnitude, and thereby calculate absolute cluster distances. An analysis of
these data shows that the cluster distribution is in good agreement with the
thick, inclined disk geometry of the LMC, as defined by its field stars. We
also find that the old globular clusters follow the same distribution,
suggesting that the LMC's disk formed at about the same time as the globular
clusters, ~ 13 Gyr ago. Finally, we have used our cluster distances in
conjunction with the disk geometry to calculate the distance to the LMC center,
for which we find (m-M)o = 18.40 +/- 0.04_{ran} +/- 0.08_{sys}, or Do = 47.9
+/- 0.9 +/- 1.8 kpc.


title:
Hydrodynamic Collimation of Relativistic Outflows: Semianalytic
  Solutions and Application to Gamma-Ray Bursts

abstract:
  A model is developed for the confinement and collimation of a baryon poor
outflow by its surrounding medium. Both, confinement by kinetic pressure of a
static corona, and confinement by the ram pressure of a supersonic wind
emanating from a disk surrounding the inner source are considered. Solutions
are presented for the structure of the shocked layers of a deflected baryon
poor jet (BPJ) and exterior wind. The dependence of the opening angle of the
BPJ on the parameters of the confining medium are carefully examined. It is
found that the BPJ shock may either converge to the symmetry axis or diverge
away from it, depending on the opening angle of the BPJ injection cone. In the
latter case the inner flow exhibits a non-uniform structure, consisting of an
ultra-relativistic core containing the unshocked BPJ enveloped by the slower,
shocked BPJ layer. The implications of our results to the prompt GRB emission
are briefly discussed.


title: BVRI Surface Photometry of Isolated Spiral Galaxies

abstract:
  A release of multicolor broad band (BVRI) photometry for a subsample of 44
isolated spirals drawn from the Catalogue of Isolated Galaxies (CIG) is
presented. Total magnitudes and colors at various circular apertures, as well
as some global structural/morphological parameters are estimated. Morphology is
reevaluated through optical and sharp/filtered R band images, (B-I) color index
maps, and archive near-IR JHK images from the Two-Micron Survey. The CAS
structural parameters (Concentration, Asymmetry, and Clumpiness) were
calculated from the images in each one of the bands. The fraction of galaxies
with well identified optical/near-IR bars (SB) is 63%, while a 17% more shows
evidence of weak or suspected bars (SAB). The sample average value of the
maximum bar ellipticity is 0.4. Half of the galaxies in the sample shows rings.
We identify two candidates for isolated galaxies with disturbed morphology. The
structural CAS parameters change with the observed band, and the tendencies
they follow with the morphological type and global color are more evident in
the redder bands. In any band, the major difference between our isolated
spirals and a sample of interacting spirals is revealed in the A-S plane. A
deep and uniformly observed sample of isolated galaxies is intended for various
purposes including (i) comparative studies of environmental effects, (ii)
confronting model predictions of galaxy evolution and (iii) evaluating the
change of galaxy properties with redshift.


title:
Multivariable generalizations of the Schur class: positive kernel
  characterization and transfer function realization

abstract:
  The operator-valued Schur-class is defined to be the set of holomorphic
functions $S$ mapping the unit disk into the space of contraction operators
between two Hilbert spaces. There are a number of alternate characterizations:
the operator of multiplication by $S$ defines a contraction operator between
two Hardy Hilbert spaces, $S$ satisfies a von Neumann inequality, a certain
operator-valued kernel associated with $S$ is positive-definite, and $S$ can be
realized as the transfer function of a dissipative (or even conservative)
discrete-time linear input/state/output linear system. Various multivariable
generalizations of this class have appeared recently,one of the most
encompassing being that of Muhly and Solel where the unit disk is replaced by
the strict unit ball of the elements of a dual correspondence $E^{\sigma}$
associated with a $W^{*}$-correspondence $E$ over a $W^{*}$-algebra $\cA$
together with a $*$-representation $\sigma$ of $\cA$. The main new point which
we add here is the introduction of the notion of reproducing kernel Hilbert
correspondence and identification of the Muhly-Solel Hardy spaces as
reproducing kernel Hilbert correspondences associated with a completely
positive analogue of the classical Szeg\"o kernel. In this way we are able to
make the analogy between the Muhly-Solel Schur class and the classical Schur
class more complete. We also illustrate the theory by specializing it to some
well-studied special cases; in some instances there result new kinds of
realization theorems.


title:
Static versus dynamic fluctuations in the one-dimensional extended
  Hubbard model

abstract:
  The extended Hubbard Hamiltonian is a widely accepted model for uncovering
the effects of strong correlations on the phase diagram of low-dimensional
systems, and a variety of theoretical techniques have been applied to it. In
this paper the world-line quantum Monte Carlo method is used to study spin,
charge, and bond order correlations of the one-dimensional extended Hubbard
model in the presence of coupling to the lattice. A static alternating lattice
distortion (the ionic Hubbard model) leads to enhanced charge density wave
correlations at the expense of antiferromagnetic order. When the lattice
degrees of freedom are dynamic (the Hubbard-Holstein model), we show that a
similar effect occurs even though the charge asymmetry must arise
spontaneously. Although the evolution of the total energy with lattice coupling
is smooth, the individual components exhibit sharp crossovers at the phase
boundaries. Finally, we observe a tendency for bond order in the region between
the charge and spin density wave phases.


title: The matrix product ansatz for the six-vertex model

abstract:
  Recently it was shown that the eigenfunctions for the the asymmetric
exclusion problem and several of its generalizations as well as a huge family
of quantum chains, like the anisotropic Heisenberg model, Fateev- Zamolodchikov
model, Izergin-Korepin model, Sutherland model, t-J model, Hubbard model, etc,
can be expressed by a matrix product ansatz. Differently from the coordinate
Bethe ansatz, where the eigenvalues and eigenvectors are plane wave
combinations, in this ansatz the components of the eigenfunctions are obtained
through the algebraic properties of properly defined matrices. In this work, we
introduce a formulation of a matrix product ansatz for the six-vertex model
with periodic boundary condition, which is the paradigmatic example of
integrability in two dimensions. Remarkably, our studies of the six-vertex
model are in agreement with the conjecture that all models exactly solved by
the Bethe ansatz can also be solved by an appropriated matrix product ansatz.


title: Methods for Producing Optical Coherent State Superpositions

abstract:
  We discuss several methods to produce superpositions of optical coherent
states (also known as "cat states"). Cat states have remarkable properties that
could allow them to be powerful tools for quantum information processing and
metrology. A number of proposals for how one can produce cat states have
appeared in the literature in recent years. We describe these proposals and
present new simulation and analysis of them incorporating practical issues such
as photon loss, detector inefficiency, and limited strength of nonlinear
interactions. We also examine how each would perform in a realistic experiment.


title:
Controlled vortex core switching in a magnetic nanodisk by a rotating
  field

abstract:
  The switching process of the vortex core in a Permalloy nanodisk affected by
a rotating magnetic field is studied theoretically. A detailed description of
magnetization dynamics is obtained by micromagnetic simulations.


title:
Non-Metric Gravity II: Spherically Symmetric Solution, Missing Mass and
  Redshifts of Quasars

abstract:
  We continue the study of the non-metric theory of gravity introduced in
hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric
vacuum solution. It respects the analog of the Birkhoff theorem, i.e., the
vacuum spherically symmetric solution is necessarily static. As in general
relativity, the spherically symmetric solution is seen to describe a black
hole. The exterior geometry is essentially the same as in the Schwarzschild
case, with power-law corrections to the Newtonian potential. The behavior
inside the black-hole region is different from the Schwarzschild case in that
the usual spacetime singularity gets replaced by a singular surface of a new
type, where all basic fields of the theory remain finite but metric ceases to
exist. The theory does not admit arbitrarily small black holes: for small
objects, the curvature on the would-be horizon is so strong that non-metric
modifications prevent the horizon from being formed. The theory allows for
modifications of gravity of very interesting nature. We discuss three physical
effects, namely, (i) correction to Newton's law in the neighborhood of the
source, (ii) renormalization of effective gravitational and cosmological
constants at large distances from the source, and (iii) additional redshift
factor between spatial regions of different curvature. The first two effects
can be responsible, respectively, for the observed anomaly in the acceleration
of the Pioneer spacecraft and for the alleged missing mass in spiral galaxies
and other astrophysical objects. The third effect can be used to propose a
non-cosmological explanation of high redshifts of quasars and gamma-ray bursts.


title: On Constructing Baby Universes and Black Holes

abstract:
  The creation of spacetimes with horizons is discussed, focussing on baby
universes and black holes as examples. There is a complex interplay of quantum
theory and General Relativity in both cases, leading to consequences for the
future of the universe and the information loss paradox, and to a deeper
understanding of quantum gravity.


title: Protein Dynamical Transition in Terahertz Dielectric Response

abstract:
  The 200 K protein dynamical transition is observed for the first time in the
teraherz dielectric response. The complex dielectric permittivity $\epsilon$ =
$\epsilon$' + i$\epsilon$" is determined in the 0.2 - 2.0 THz and 80-294 K
ranges. $\epsilon$" has a linear temperature dependence up to 200 K then
sharply increases. The low temperature linear dependence in $\epsilon$"
indicates anharmonicity for temperatures 80 K < T < 180 K, challenging the
assumed harmonicity below 200K. The temperature dependence is consistent with
beta relaxation response and shows the protein motions involved in the
dynamical transition extend to subpicosecond time scales.


title: Nonextensive Reaction Rate

abstract:
  The Kramers' survival probability has been generalized by using nonextensive
formalism. This nonextensive survival probability is studied in detail and
associated Kramers' rate has been calculated in the high and low viscosity
limit. It has been showed that the proportionality of nonextensive Kramers'
rate to the nonextensive friction term in the high viscosity limit changes to
inverse proportionality in the low viscosity limit. It has also been observed
that friction constant of nonextensive processes is of rescaled form of the
ordinary frictional term. Since the relation between the ordinary rate and
nonextensive rate is found out to be linear, the Arrhenius nature of the
Kramers' rate is preserved. By using experimental results related to CO
rebinding to myoglobin after photodissociation, we conclude that nonextensivity
plays an important role in protein reactions.


title: A Limit of Stability in Supercooled Liquid Clusters

abstract:
  We examine the metastable liquid phase of a supercooled gold nanocluster by
studying the free energy landscape using the largest solid-like embryo as an
order parameter. Just below freezing, the free energy exhibits a local minimum
at small embryo sizes and a maximum at larger embryo sizes which denotes the
critical embryo size. At T=660K the free energy becomes a monotonically
decreasing function of the order parameter as the liquid phase becomes
unstable, indicating we have reached a spinodal. In contrast to the usual
mean-field theory predictions, the size of the critical embryo remains finite
as the spinodal is approached. We also calculate the rate of nucleation,
independently from our free energy calculations, and observe a rapid increase
in its temperature dependence when the free energy barrier is in the order of
$kT$. This supports the idea that freezing becomes a barrierless process around
the spinodal temperature.


title:
Indirect magnetic interaction mediated by spin dimer in
  Cu$_2$Fe$_2$Ge$_4$O$_{13}$

abstract:
  Cu$_2$Fe$_2$Ge$_4$O$_{13}$ is a bicomponent compound that consists of Cu
dimers and Fe chains with separate energy scale. By inelastic neutron
scattering technique with high-energy resolution we observed the indirect Fe -
Fe exchange coupling by way of the Cu dimers. The obtained parameters of the
effective indirect interaction and related superexchange interactions are
consistent with those estimated semi-statically. The consistency reveals that
the Cu dimers play the role of nonmagnetic media in the indirect magnetic
interaction.


title:
Klimontovich`s S theorem in nonextensive formalism and the problem of
  constraints

abstract:
  Ordinary Boltzmann-Gibbs entropy is inadequate to be used in systems
depending on a control parameter that yield different mean energy values. Such
systems fail to give the correct comparison between the off-equilibrium and
equilibrium entropy values. Klimontovich's S theorem solves this problem by
renormalizing energy and making use of escort distributions. Since nonextensive
thermostatistics is a generalization of Boltzmann-Gibbs entropy, it too
exhibits this same deficiency. In order to remedy this, we present the
nonextensive generalization of Klimontovich's S theorem. We show that this
generalization requires the use of ordinary probability and the associated
relative entropy in addition to the renormalization of energy. Lastly, we
illustrate the generalized S theorem for the Van der Pol oscillator.


title: Periodic Bursts of Coherent Radio Emission from an Ultracool Dwarf

abstract:
  We report the detection of periodic (p = 1.96 hours) bursts of extremely
bright, 100% circularly polarized, coherent radio emission from the M9 dwarf
TVLM 513-46546. Simultaneous photometric monitoring observations have
established this periodicity to be the rotation period of the dwarf. These
bursts, which were not present in previous observations of this target, confirm
that ultracool dwarfs can generate persistent levels of broadband, coherent
radio emission, associated with the presence of kG magnetic fields in a
large-scale, stable configuration. Compact sources located at the magnetic
polar regions produce highly beamed emission generated by the electron
cyclotron maser instability, the same mechanism known to generate planetary
coherent radio emission in our solar system. The narrow beams of radiation pass
our line of sight as the dwarf rotates, producing the associated periodic
bursts. The resulting radio light curves are analogous to the periodic light
curves associated with pulsar radio emission highlighting TVLM 513-46546 as the
prototype of a new class of transient radio source.


title: Exchange bias effect of ferro-/antiferromagnetic heterostructures

abstract:
  The exchange bias (EB) effect was discovered 60 years ago by Meiklejohn and
Bean. Meanwhile the EB effect has become an integral part of modern magnetism
with implications for basic research and for numerous device applications. The
EB effect was the first of its kind which relates to an interface effect
between two different classes of materials, here between a ferromagnet and an
antiferromagnet. Here we review fundamental aspects of the exchange bias
effect.


title: The Zeta-Function of a p-Adic Manifold, Dwork Theory for Physicists

abstract:
  In this article we review the observation, due originally to Dwork, that the
zeta-function of an arithmetic variety, defined originally over the field with
p elements, is a superdeterminant. We review this observation in the context of
a one parameter family of quintic threefolds, and study the zeta-function as a
function of the parameter \phi. Owing to cancellations, the superdeterminant of
an infinite matrix reduces to the (ordinary) determinant of a finite matrix,
U(\phi), corresponding to the action of the Frobenius map on certain cohomology
groups. The parameter-dependence of U(\phi) is given by a relation
U(\phi)=E^{-1}(\phi^p)U(0)E(\phi) with E(\phi) a Wronskian matrix formed from
the periods of the manifold. The periods are defined by series that converge
for $|\phi|_p < 1$. The values of \phi that are of interest are those for which
\phi^p = \phi so, for nonzero \phi, we have |\vph|_p=1. We explain how the
process of p-adic analytic continuation applies to this case. The matrix
U(\phi) breaks up into submatrices of rank 4 and rank 2 and we are able from
this perspective to explain some of the observations that have been made
previously by numerical calculation.


title:
The unified geometric theory of mesoscopic stochastic pumps and
  reversible ratchets

abstract:
  We construct a unifying theory of geometric effects in mesoscopic stochastic
kinetics. We demonstrate that the adiabatic pump and the reversible ratchet
effects, as well as similar new phenomena in other domains, such as in
epidemiology, all follow from geometric phase contributions to the effective
action in the stochastic path integral representation of the moment generating
function. The theory provides the universal technique for identification,
prediction and calculation of pump-like phenomena in an arbitrary mesoscopic
stochastic framework.


title: Noetherian types of homogeneous compacta and dyadic compacta

abstract:
  The Noetherian type of a space is the least $\kappa$ such that it has a base
that is $\kappa$-like with respect to containment. Just as all known
homogeneous compacta have cellularity at most $2^\omega$, they satisfy similar
upper bounds in terms of Noetherian type and related cardinal functions. We
prove these and many other results about these cardinal functions. For example,
every homogeneous dyadic compactum has Noetherian type $\omega$. Assuming GCH,
every point in a homogeneous compactum $X$ has a local base that is $c(X)$-like
with respect to containment. If every point in a compactum has a
well-quasiordered local base, then some point has a countable local $\pi$-base.


title:
Interacting Tachyon: generic cosmological evolution for a tachyon and a
  scalar field

abstract:
  We study the cosmological evolution of a tachyon scalar field T with a
Dirac-Born-Infeld type lagrangian and potential V(T) coupled to a canonically
normalized scalar field \phi with an arbitrary interaction term B(T,\phi) in
the presence of a barotropic fluid $\rb$, which can be matter or radiation. The
force between the barotropic fluid and the scalar fields is only gravitational.
We show that the dynamics is completely determine by only three parameters L1 =
- V_T/ V^{3/2}, L2= - B_T /B^{3/2} and L3 =-B_{\phi}/B. We determine
analytically theconditions for $\lm_i$ under which the energy density of T,
\phi and $\rb$ have the same redshift. We study the behavior of T and \phi in
the asymptotic limits for L_i and we show the numerical solution for different
interesting cases.
  The effective equation of state for the tachyon field changes due to the
interaction with the scalar field and we show that it is possible for a tachyon
field to redshift as matter in the absence of an interaction term B and as
radiation when B is turned on. This result solves then the tachyonic matter
problem.


title: Tracing the Galactic thick disk to Solar metallicities

abstract:
  We show that the Galactic thick disk reaches at least solar metallicities,
and that it experienced strong chemical enrichment during a period of ~3 Gyr,
ending around 8-9 Gyr ago. This finding puts further constraints on the
relation and interface between the thin and thick disks, and their formation
processes. Our results are based on a detailed elemental abundance analysis of
261 kinematically selected F and G dwarf stars in the solar neighborhood: 194
likely members of the thick disk and 67 likely members of the thin disk, in the
range -1.3<[Fe/H]<+0.4.


title: Absence of Electron Surfing Acceleration in a Two-Dimensional Simulation

abstract:
  Electron acceleration in high Mach number perpendicular shocks is
investigated through two-dimensional electrostatic particle-in-cell (PIC)
simulation. We simulate the shock foot region by modeling particles that
consist of three components such as incident protons and electrons and
reflected protons in the initial state which satisfies the Buneman instability
condition. In contrast to previous one-dimensional simulations in which strong
surfing acceleration is realized, we find that surfing acceleration does not
occur in two-dimensional simulation. This is because excited electrostatic
potentials have a two-dimensional structure that makes electron trapping
impossible. Thus, the surfing acceleration does not work either in itself or as
an injection mechanism for the diffusive shock acceleration. We briefly discuss
implications of the present results on the electron heating and acceleration by
shocks in supernova remnants.


title:
The Orbifolds of Permutation-Type as Physical String Systems at
  Multiples of $\mathbf{c=26}$ V. Cyclic Permutation Orbifolds

abstract:
  I consider the $\mathbb{Z}_\lambda,$ $\lambda$ prime free-bosonic permutation
orbifolds as interacting physical string systems at $\hat{c} = 26\lambda $. As
a first step, I introduce twisted tree diagrams which confirm at the
interacting level that the physical spectrum of each twisted sector is
equivalent to that of an ordinary $c=26$ closed string. The untwisted sectors
are surprisingly more difficult to understand, and there are subtleties in the
sewing of the loops, but I am able to propose provisional forms for the full
modular-invariant cosmological constants and one-loop diagrams with insertions.


title: The Maximal Integral Domain Generated By A Commutative Ring

abstract:
  In this paper, we exhibit the creation of the maximal integral domain mid(R)
generated by a nonzero commutative ring R.


title: EMC effect in semi-inclusive deep-inelastic scattering process

abstract:
  By considering the $x$-dependence of $\pi^+$, $\pi^-$, $K^+$, $K^-$,
$\Lambda$, $\bar{\Lambda}$, $p$, $\bar{p}$ hadron productions in charged lepton
semi-inclusive deep inelastic scattering off nuclear target (using Fe as an
example) and deuteron D target, % at $Q^2=5$ GeV$^2$, we find that
$(\bar{\Lambda}^A/\Lambda^A)/(\bar{\Lambda}^D/\Lambda^D)$ and
$({\bar{p}}^A/{p}^A)/({\bar{p}}^A/p^A)$ are ideal to figure out the nuclear sea
content, which is predicted to be different by different models accounting for
the nuclear EMC effect.


title: Mean Field Models of Message Throughput in Dynamic Peer-to-Peer Systems

abstract:
  The churn rate of a peer-to-peer system places direct limitations on the rate
at which messages can be effectively communicated to a group of peers. These
limitations are independent of the topology and message transmission latency.
In this paper we consider a peer-to-peer network, based on the Engset model,
where peers arrive and depart independently at random. We show how the arrival
and departure rates directly limit the capacity for message streams to be
broadcast to all other peers, by deriving mean field models that accurately
describe the system behavior. Our models cover the unit and more general k
buffer cases, i.e. where a peer can buffer at most k messages at any one time,
and we give results for both single and multi-source message streams. We define
coverage rate as peer-messages per unit time, i.e. the rate at which a number
of peers receive messages, and show that the coverage rate is limited by the
churn rate and buffer size. Our theory introduces an Instantaneous Message
Exchange (IME) model and provides a template for further analysis of more
complicated systems. Using the IME model, and assuming random processes, we
have obtained very accurate equations of the system dynamics in a variety of
interesting cases, that allow us to tune a peer-to-peer system. It remains to
be seen if we can maintain this accuracy for general processes and when
applying a non-instantaneous model.


title:
SDSS J121811.0+465501.2: a new Low Surface Brightness Galaxy with low
  metallicity

abstract:
  We serendipitously find a new nearby Low Surface Brightness (LSB) galaxy from
SDSS database. We estimate oxygen abundance of its H II region SDSS
J121811.0+465501.2 from electron temperature, as well as for another H II
region, SDSS J135440.5+535309.6, located in irregular LSB galaxy UGC 8837.
These two extragalactic H II regions were classified as stars in the SDSS-DR4
database, and were found occasionally by us in the automatic recognition and
classification on stellar spectra.Their optical spectra show obvious emission
lines, i.e., strong [O III]4959, 5007, Balmer emission lines, but very weak [N
II]6548,6583 and [S II]6317,6731, which could indicate that they are metal-poor
star-forming regions. The derived oxygen abundances of the two objects are
12+log(O/H) ~ 7.88+-0.30 and 7.70+-0.30, respectively. The host of the H II
region SDSS J121811.0+465501.2 is identified as a new nearly edge-on LSB disc
galaxy (almost without bulge) with the B-band central surface brightness
mu_0(B) as 23.68 mag arcsec^{-2} and inclination angle as ~75 degree by using
the GIM2D software to analyze its g- and r-band images independently. It is a
nearby dwarf galaxy with redshift z~0.00157, disk scale-length ~0.40 kpc and
B-band absolute magnitude M_B ~ -13.51 mag. The very low oxygen abundances of
these two objects confirm the low metallicities of LSB galaxies.


title: Drinfeld-Hecke algebras over cocommutative algebras

abstract:
  If A is a cocommutative algebra with coproduct, then so is the smash product
algebra of a symmetric algebra Sym(V) with A, where V is an A-module. Such
smash product algebras, with A a group ring or a Lie algebra, have families of
deformations that have been studied widely in the literature; examples include
symplectic reflection algebras and infinitesimal Hecke algebras. We introduce a
family of deformations of these smash product algebras for general A, and
characterize the PBW property. We then characterize the Jacobi identity for
"grouplike" algebras (that include group rings and the nilCoxeter algebra), and
precisely identify the PBW deformations in the example where A is the
nilCoxeter algebra. We end with the more prominent case - where A is a Hopf
algebra. We show the equivalence of several versions of the "deformed"
relations in the smash product, and identify the PBW deformations which are
Hopf algebras as well.


title: Hawking radiation from black holes in de Sitter spaces

abstract:
  Recently, Hawking radiation has been treated, by Robinson and Wilczek, as a
compensating flux of the energy momentum tensor required to cancel gavitational
anomaly at the event horizon(EH) of a Schwarzschild-type black hole. In this
paper, motivated by their work, Hawking radiation from the event horizon(EH)
and the de Sitter cosmological horizon(CH) of black holes in de Sitter spaces,
specifically including the purely de Sitter black hole, and the static,
spherically symmetric Schwarzschild-de Sitter black hole as well as the
rotating Kerr-de Sitter black hole, has been studied by anomalies. The result
shows that the gauge current and energy momentum tensor fluxes, required to
restore gauge invariance and general coordinate covariance at the EH and the
CH, are precisely equal to those of Hawking radiation from the EH and the CH,
respectively. It should be noted that, gauge and gravitational anomalies taken
place at the cosmological horizon(CH) arise from the fact that the effective
field theory is formulated inside the CH to integrate out the classically
irrelevant outgoing modes at the CH, which is different from those at the black
hole horizon(EH).


title: Spectroscopic signatures of nonequilibrium pairing in atomic Fermi gases

abstract:
  We determine the radio-frequency (RF) spectra for non-stationary states of a
fermionic condensate produced by a rapid switch of the scattering length. The
RF spectrum of the nonequilibrium state with constant BCS order parameter has
two features in contrast to equilibrium where there is a single peak. The
additional feature reflects the presence of excited pairs in the steady state.
In the state characterized by periodically oscillating order parameter
RF-absorption spectrum contains two sequences of peaks spaced by the frequency
of oscillations. Satellite peaks appear due to a process where an RF photon in
addition to breaking a pair emits/absorbs oscillation quanta.


title: Power-law corrections to entanglement entropy of horizons

abstract:
  We re-examine the idea that the origin of black-hole entropy may lie in the
entanglement of quantum fields between inside and outside of the horizon.
Motivated by the observation that certain modes of gravitational fluctuations
in a black-hole background behave as scalar fields, we compute the entanglement
entropy of such a field, by tracing over its degrees of freedom inside a
sphere. We show that while this entropy is proportional to the area of the
sphere when the field is in its ground state, a correction term proportional to
a fractional power of area results when the field is in a superposition of
ground and excited states. The area law is thus recovered for large areas.
Further, we identify location of the degrees of freedom that give rise to the
above entropy.


title:
Tensor Product of the Fundamental Representations for the Quantum Loop
  Algebras of Type A at Roots of Unity

abstract:
  In this paper, we consider the necessary and sufficient conditions for the
tensor product of the fundamental representations for the restricted quantum
loop algebras of type A at roots of unity to be irreducible.


title:
The Multiscale Morphology Filter: Identifying and Extracting Spatial
  Patterns in the Galaxy Distribution

abstract:
  We present here a new method, MMF, for automatically segmenting cosmic
structure into its basic components: clusters, filaments, and walls.
Importantly, the segmentation is scale independent, so all structures are
identified without prejudice as to their size or shape. The method is ideally
suited for extracting catalogues of clusters, walls, and filaments from samples
of galaxies in redshift surveys or from particles in cosmological N-body
simulations: it makes no prior assumptions about the scale or shape of the
structures.}


title: Driving Mechanism of Jets and Outflows in Star Formation Process

abstract:
  The driving mechanism of jets and outflows in star formation process is
studied using resistive MHD nested grid simulations. We calculated cloud
evolution from the molecular cloud core to the stellar core. In the collapsing
cloud core, we found two distinct flows: Low-velocity flows (sim 5 km/s) with a
wide opening angle, driven from the adiabatic core, and high-velocity flows
(sim 30 km/s) with good collimation, driven from the protostar. High-velocity
flows are enclosed by low-velocity flows after protostar formation. The
difference in the degree of collimation between the two flows is caused by the
strength of the magnetic field and configuration of the magnetic field lines.
The magnetic field around an adiabatic core is strong and has an hourglass
configuration; therefore, flows from the adiabatic core are driven mainly by
the magnetocentrifugal mechanism and guided by the hourglass-like field lines.
In contrast, the magnetic field around the protostar is weak and has a straight
configuration owing to Ohmic dissipation in the high-density gas region.
Therefore, flows from the protostar are driven mainly by the magnetic pressure
gradient force and guided by straight field lines. Differing depth of the
gravitational potential between the adiabatic core and the protostar cause the
difference of the flow speed. Low-velocity flows correspond to the observed
molecular outflows, while high-velocity flows correspond to the observed
optical jets. We suggest that the outflow and the jet are driven by different
cores, rather than that the outflow being entrained by the jet.


title: Gluing pseudoholomorphic curves along branched covered cylinders II

abstract:
  This paper and its prequel ("Part I") prove a generalization of the usual
gluing theorem for two index 1 pseudoholomorphic curves U_+ and U_- in the
symplectization of a contact 3-manifold. We assume that for each embedded Reeb
orbit gamma, the total multiplicity of the negative ends of U_+ at covers of
gamma agrees with the total multiplicity of the positive ends of U_- at covers
of gamma. However, unlike in the usual gluing story, here the individual
multiplicities are allowed to differ. In this situation, one can often glue U_+
and U_- to an index 2 curve by inserting genus zero branched covers of
R-invariant cylinders between them. This paper shows that the signed count of
such gluings equals a signed count of zeroes of a certain section of an
obstruction bundle over the moduli space of branched covers of the cylinder.
Part I obtained a combinatorial formula for the latter count and, assuming the
result of the present paper, deduced that the differential d in embedded
contact homology satisfies d^2=0. The present paper completes all of the
analysis that was needed in Part I. The gluing technique explained here is in
principle applicable to more gluing problems. We also prove some lemmas
concerning the generic behavior of pseudoholomorphic curves in
symplectizations, which may be of independent interest.


title: Vanishing and injectivity theorems for LMMP

abstract:
  This preprint has been withdrawn. It is because I will never publish this
preprint since everything has been contained in my new preprint:
arXiv:0907.1506. Please refer to arXiv:0907.1506. Please do not cite this
preprint any more.


title: Notes on the log minimal model program


title:
Analogue model of a FRW universe in Bose-Einstein condensates:
  Application of the classical field method

abstract:
  Analogue models of gravity have been motivated by the possibility of
investigating phenomena not readily accessible in their cosmological
counterparts. In this paper, we investigate the analogue of cosmological
particle creation in a Friedmann-Robertson-Walker universe by numerically
simulating a Bose-Einstein condensate with a time-dependent scattering length.
In particular, we focus on a two-dimensional homogeneous condensate using the
classical field method via the truncated Wigner approximation. We show that for
various forms of the scaling function the particle production is consistent
with the underlying theory in the long wavelength limit. In this context, we
further discuss the implications of modified dispersion relations that arise
from the microscopic theory of a weakly interacting Bose gas.


title: The abelianization of a symmetric mapping class group

abstract:
  We determine the abelianization of the symmetric mapping class group of a
double unbranched cover using the Riemann theta constant, Schottky theta
constant, and the theta multiplier. We also give lower bounds of the
abelianizations of some finite index subgroups of the mapping class group.


title: High precision quantum control of single donor spins in silicon

abstract:
  The Stark shift of the hyperfine coupling constant is investigated for a P
donor in Si far below the ionization regime in the presence of interfaces using
Tight-binding and Band Minima Basis approaches and compared to the recent
precision measurements. The TB electronic structure calculations included over
3 million atoms. In contrast to previous effective mass based results, the
quadratic Stark coefficient obtained from both theories agrees closely with the
experiments. This work represents the most sensitive and precise comparison
between theory and experiment for single donor spin control. It is also shown
that there is a significant linear Stark effect for an impurity near the
interface, whereas, far from the interface, the quadratic Stark effect
dominates. Such precise control of single donor spin states is required
particularly in quantum computing applications of single donor electronics,
which forms the driving motivation of this work.


title:
Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of
  a Mean-field Theory

abstract:
  We generalize the mean-field theory for the spinless Bose-Hubbard model to
account for the different types of superfluid phases that can arise in the
spin-1 case. In particular, our mean-field theory can distinguish polar and
ferromagnetic superfluids, Mott insulators which arise at integer fillings at
zero temperature, and normal Bose liquids into which the Mott insulators evolve
at finite temperatures. We find, in contrast to the spinless case, that several
of the superfluid-Mott insulator transitions are first-order at finite
temperatures. Our systematic study yields rich phase diagrams that include,
first-order and second-order transitions, and a variety of tricritical points.
We discuss the possibility of realizing such phase diagrams in experimental
systems.


title: On an identity for the volume integral of the square of a vector field

abstract:
  A proof is given of the vector identity proposed by Gubarev, Stodolsky and
Zakarov that relates the volume integral of the square of a 3-vector field to
non-local integrals of the curl and divergence of the field. The identity is
applied to the case of the magnetic vector potential and magnetic field of a
rotating charged shell. The latter provides a straightforward exercise in the
use of the addition theorem of spherical harmonics.


title:
Plasma effects in a micromachined floating-gate high-electron-mobility
  transistor

abstract:
  We study plasma effects in a micromachined high-electron mobility transistor
(HEMT) with the microcantilever serving as the gate using the developed a
model. The model accounts for mechanical motion of the microcantilever and
spatio-temporal variations (plasma effects) of the two-dimensional electron
gas(2DEG) system in the transistor channel. The microcantilever mechanical
motion is described in the point-mass approximation. The hydrodynamic electron
transport model is used to describe distributed electron plasma phenomena in
the 2DEG system. Using the developed model, we calculated the response function
characterizing the amplitude microcantilever oscillations and the output
electric signal as functions of the signal frequency and the bias voltage for
the devices with different parameters. We find the voltage dependences of the
frequency of the mechanical resonance and its damping. In particular, it is
demonstrated that the amplitudes of the mechanical oscillations and output
electric signal exhibit pronounced maxima at the bias voltages close to the
voltage of the 2DEG channel depletion followed by a steep drop with further
increase in the bias voltage.


title: Solution Of Wheeler-De Witt Equation, Potential Well And Tunnel Effect

abstract:
  This paper uses the relation of the cosmic scale factor and scalar field to
solve Wheeler-DeWitt equation, gives the tunnel effect of the cosmic scale
factor a and quantum potential well of scalar field, and makes it fit with the
physics of cosmic quantum birth. By solving Wheeler-DeWitt equation we achieve
a general probability distribution of the cosmic birth, and give the analysis
of cosmic quantum birth.


title: CDMA Technology for Intelligent Transportation Systems

abstract:
  Scientists and Technologists involved in the development of radar and remote
sensing systems all over the world are now trying to involve themselves in
saving of manpower in the form of developing a new application of their ideas
in Intelligent Transport system(ITS). The world statistics shows that by
incorporating such wireless radar system in the car would decrease the world
road accident by 8-10% yearly. The wireless technology has to be chosen
properly which is capable of tackling the severe interferences present in the
open road. A combined digital technology like Spread spectrum along with
diversity reception will help a lot in this regard. Accordingly, the choice is
for FHSS based space diversity system which will utilize carrier frequency
around 5.8 GHz ISM band with available bandwidth of 80 MHz and no license. For
efficient design, the radio channel is characterized on which the design is
based. Out of two available modes e.g. Communication and Radar modes, the radar
mode is providing the conditional measurement of the range of the nearest car
after authentication of the received code, thus ensuring the reliability and
accuracy of measurement. To make the system operational in simultaneous mode,
we have started the Software Defined Radio approach for best speed and
flexibility.


title: RADAR Imaging in the Open field At 300 MHz-3000 MHz Radio Band

abstract:
  With the technological growth of broadband wireless technology like CDMA and
UWB, a lots of development efforts towards wireless communication system and
Imaging radar system are well justified. Efforts are also being imparted
towards a Convergence Technology.. the convergence between a communication and
radar technology which will result in ITS (Intelligent Transport System) and
other applications. This encourages present authors for this development. They
are trying to utilize or converge the communication technologies towards radar
and to achieve the Interference free and clutter free quality remote images of
targets using DS-UWB wireless technology.


title:
Mirzakharni's recursion formula is equivalent to the Witten-Kontsevich
  theorem

abstract:
  In this paper, we give a proof of Mirzakhani's recursion formula of
Weil-Petersson volumes of moduli spaces of curves using the Witten-Kontsevich
theorem. We also describe properties of intersections numbers involving higher
degree $\kappa$ classes.


title:
Unconventional conductance plateau transitions in quantum Hall wires
  with spatially correlated disorder

abstract:
  Quantum transport properties in quantum Hall wires in the presence of
spatially correlated random potential are investigated numerically. It is found
that the potential correlation reduces the localization length associated with
the edge state, in contrast to the naive expectation that the potential
correlation increases it. The effect appears as the sizable shift of quantized
conductance plateaus in long wires, where the plateau transitions occur at
energies much higher than the Landau band centers. The scale of the shift is of
the order of the strength of the random potential and is insensitive to the
strength of magnetic fields. Experimental implications are also discussed.


title: A Blichfeldt-type inequality for the surface area

abstract:
  In 1921 Blichfeldt gave an upper bound on the number of integral points
contained in a convex body in terms of the volume of the body. More precisely,
he showed that $#(K\cap\Z^n)\leq n! \vol(K)+n$, whenever $K\subset\R^n$ is a
convex body containing $n+1$ affinely independent integral points. Here we
prove an analogous inequality with respect to the surface area $\F(K)$, namely
$ #(K\cap\Z^n) < \vol(K) + ((\sqrt{n}+1)/2) (n-1)! \F(K)$. The proof is based
on a slight improvement of Blichfeldt's bound in the case when $K$ is a
non-lattice translate of a lattice polytope, i.e., $K=t+P$, where
$t\in\R^n\setminus\Z^n$ and $P$ is an $n$-dimensional polytope with integral
vertices. Then we have $#((t+P)\cap\Z^n)\leq n! \vol(P)$.
  Moreover, in the 3-dimensional case we prove a stronger inequality, namely
$#(K\cap\Z^n) < \vol(K) + 2 \F(K)$.


title: Topological reconstruction of open charm mesons using electron tagging

abstract:
  We present first results on the topological reconstruction of open charm
mesons in p+p collisions at $\snn$ = 200 GeV using electron tagging. The
analysis makes use of the full acceptance of the STAR electromagnetic
calorimeter during Run VI data taking. A clear D$^0$ signal is obtained with a
remarkable signal-to-background ratio of about 1/7 and a signal significance of
about 4. The azimuthal correlation distribution of the subleading electrons
associated with open charm mesons exhibits a two-peak structure. We found first
indications for prompt charm meson pair production. This correlation technique
allows detailed energy loss measurements of open charm mesons in heavy-ion
collisions.


title: Inclusive Higgs Boson Searches in Four-Lepton Final States at the LHC

abstract:
  The inclusive search for the Standard Model Higgs boson in four-lepton final
states with the ATLAS and CMS detectors at the LHC pp collider is presented.
The discussion focusses on the H-> ZZ^(*)->4l+X decay mode for a Higgs boson in
the mass range 120 ~< M_H ~< 600 GeV/c^2. A prospective analysis is presented
for the discovery potential based on a detailled simulation of the detector
response in the experimental conditions of the first years of LHC running at
low luminosity. An overview of the expected sensitivity in the measurement of
the Higgs boson properties is also given.


title: Another property of minimal surfaces in Euclidean space

abstract: The new property of minimal surfaces is obtained in this article.


title: SIR dynamics in random networks with heterogeneous connectivity

abstract:
  Random networks with specified degree distributions have been proposed as
realistic models of population structure, yet the problem of dynamically
modeling SIR-type epidemics in random networks remains complex. I resolve this
dilemma by showing how the SIR dynamics can be modeled with a system of three
nonlinear ODE's. The method makes use of the probability generating function
(PGF) formalism for representing the degree distribution of a random network
and makes use of network-centric quantities such as the number of edges in a
well-defined category rather than node-centric quantities such as the number of
infecteds or susceptibles. The PGF provides a simple means of translating
between network and node-centric variables and determining the epidemic
incidence at any time. The theory also provides a simple means of tracking the
evolution of the degree distribution among susceptibles or infecteds. The
equations are used to demonstrate the dramatic effects that the degree
distribution plays on the final size of an epidemic as well as the speed with
which it spreads through the population. Power law degree distributions are
observed to generate an almost immediate expansion phase yet have a smaller
final size compared to homogeneous degree distributions such as the Poisson.
The equations are compared to stochastic simulations, which show good agreement
with the theory. Finally, the dynamic equations provide an alternative way of
determining the epidemic threshold where large-scale epidemics are expected to
occur, and below which epidemic behavior is limited to finite-sized outbreaks.


title: Smooth multiparameter perturbation of polynomials and operators

abstract:
  This paper has been withdrawn by the authors due to a gap in the proof of the
main result (in 5.3).


title: The long-term optical spectral variability of BL Lacertae

abstract:
  We present the results from a study of the long-term optical spectral
variations of BL Lacertae, using the long and well-sampled B and R-band light
curves of the Whole Earth Blazar Telescope (WEBT) collaboration, binned on time
intervals of 1 day. The relation between spectral slope and flux (the spectrum
gets bluer as the source flux increases) is well described by a power-law
model, although there is significant scatter around the best-fitting model
line. To some extent, this is due to the spectral evolution of the source
(along well-defined loop-like structures) during low-amplitude events, which
are superimposed on the major optical flares, and evolve on time scales of a
few days. The "bluer-when-brighter" mild chromatism of the long-term variations
of the source can be explained if the flux increases/decreases faster in the B
than in the R band. The B and R-band variations are well correlated, with no
significant, measurable delays larger than a few days. On the other hand, we
find that the spectral variations lead those in the flux light curves by ~ 4
days. Our results can be explained in terms of Doppler factor variations due to
changes in the viewing angle of a curved and inhomogeneous emitting jet.


title: Pr\"ufer's Ideal Numbers as Gelfand's maximal Ideals

abstract:
  Polyadic arithmetics is a branch of mathematics related to $p$--adic theory.
The aim of the present paper is to show that there are very close relations
between polyadic arithmetics and the classic theory of commutative Banach
algebras. Namely, let $\ms A$ be the algebra consisting of all complex periodic
functions on $\Z$ with the uniform norm. Then the polyadic topological ring can
be defined as the ring of all characters $\ms A\to\C$ with convolution
operations and the Gelfand topology.


title: Casimir operators, abelian subspaces and u-cohomology

abstract:
  This survey paper is an exposition of old and recent results of Kostant and
al. on the relationships between the exterior algebra of a simple Lie algebra
and the action of the Casimir operator on it. Our exposition relies on
u-cohomology and it is basically self-contained.


title: A simple algorithm based on fluctuations to play the market

abstract:
  In Biology, all motor enzymes operate on the same principle: they trap
favourable brownian fluctuations in order to generate directed forces and to
move. Whether it is possible or not to copy one such strategy to play the
market was the starting point of our investigations. We found the answer is
yes. In this paper we describe one such strategy and appraise its performance
with historical data from the European Monetary System (EMS), the US Dow Jones,
the german Dax and the french Cac40.


title: Kolkata Restaurant Problem as a generalised El Farol Bar Problem

abstract:
  Generalisation of the El Farol bar problem to that of many bars here leads to
the Kolkata restaurant problem, where the decision to go to any restaurant or
not is much simpler (depending on the previous experience of course, as in the
El Farol bar problem). This generalised problem can be exactly analysed in some
limiting cases discussed here. The fluctuation in the restaurant service can be
shown to have precisely an inverse cubic behavior, as widely seen in the stock
market fluctuations.


title:
The General Definition of the Complex Monge-Amp\`ere Operator on Compact
  K\"ahler Manifolds

abstract:
  We introduce a wide subclass ${\cal F}(X,\omega)$ of quasi-plurisubharmonic
functions in a compact K\"ahler manifold, on which the complex Monge-Amp\`ere
operator is well-defined and the convergence theorem is valid. We also prove
that ${\cal F}(X,\omega)$ is a convex cone and includes all
quasi-plurisubharmonic functions which are in the Cegrell class.


title: Numerical simulations of fast and slow coronal mass ejections

abstract:
  Solar coronal mass ejections (CMEs) show a large variety in their kinematic
properties. CMEs originating in active regions and accompanied by strong flares
are usually faster and accelerated more impulsively than CMEs associated with
filament eruptions outside active regions and weak flares. It has been proposed
more than two decades ago that there are two separate types of CMEs, fast
(impulsive) CMEs and slow (gradual) CMEs. However, this concept may not be
valid, since the large data sets acquired in recent years do not show two
distinct peaks in the CME velocity distribution and reveal that both fast and
slow CMEs can be accompanied by both weak and strong flares. We present
numerical simulations which confirm our earlier analytical result that a
flux-rope CME model permits describing fast and slow CMEs in a unified manner.
We consider a force-free coronal magnetic flux rope embedded in the potential
field of model bipolar and quadrupolar active regions. The eruption is driven
by the torus instability which occurs if the field overlying the flux rope
decreases sufficiently rapidly with height. The acceleration profile depends on
the steepness of this field decrease, corresponding to fast CMEs for rapid
decrease, as is typical of active regions, and to slow CMEs for gentle
decrease, as is typical of the quiet Sun. Complex (quadrupolar) active regions
lead to the fastest CMEs.


title: The maximal D=4 supergravities

abstract:
  All maximal supergravities in four space-time dimensions are presented. The
ungauged Lagrangians can be encoded in an E_7(7)\Sp(56,R)/GL(28) matrix
associated with the freedom of performing electric/magnetic duality
transformations. The gauging is defined in terms of an embedding tensor which
encodes the subgroup of E_7(7) that is realized as a local invariance. This
embedding tensor may imply the presence of magnetic charges which require
corresponding dual gauge fields. The latter can be incorporated by using a
recently proposed formulation that involves tensor gauge fields in the adjoint
representation of E_7(7). In this formulation the results take a universal form
irrespective of the electric/magnetic duality basis. We present the general
class of supersymmetric and gauge invariant Lagrangians and discuss a number of
applications.


title:
Closed Bosonic String Field Theory at Quintic Order II: Marginal
  Deformations and Effective Potential

abstract:
  We verify that the dilaton together with one exactly marginal field, form a
moduli space of marginal deformations of closed bosonic string field theory to
polynomial order five. We use the results of this successful check in order to
find the best functional form of a fit of quintic amplitudes. We then use this
fit in order to accurately compute the tachyon and dilaton effective potential
in the limit of infinite level. We observe that to order four, the effective
potential gives unexpectedly accurate results for the vacuum. We are thus led
to conjecture that the effective potential, to a given order, is a good
approximation to the whole potential including all interactions from the
vertices up to this order from the untruncated string field. We then go on and
compute the effective potential to order five. We analyze its vacuum structure
and find that it has several saddle points, including the Yang-Zwiebach vacuum,
but also a local minimum. We discuss the possible physical meanings of these
vacua.


title: Phase transition of compartmentalized surface models

abstract:
  Two types of surface models have been investigated by Monte Carlo simulations
on triangulated spheres with compartmentalized domains. Both models are found
to undergo a first-order collapsing transition and a first-order surface
fluctuation transition. The first model is a fluid surface one. The vertices
can freely diffuse only inside the compartments, and they are prohibited from
the free diffusion over the surface due to the domain boundaries. The second is
a skeleton model. The surface shape of the skeleton model is maintained only by
the domain boundaries, which are linear chains with rigid junctions. Therefore,
we can conclude that the first-order transitions occur independent of whether
the shape of surface is mechanically maintained by the skeleton (= the domain
boundary) or by the surface itself.


title: Free energy of disordered urn models in the canonical ensemble

abstract:
  We calculate the free energy of the disordered urn model using the law of
large numbers. It is revealed that the saddle point equation obtained by the
usage of the law of large numbers is the same as that obtained by the replica
method. Hence, we conclude that the replica symmetric solution is adequate for
the disordered urn model. Furthermore, we point out the mathematical similarity
of free energies between the urn models and the Random Field Ising Model; this
similarity gives an evidence that the replica symmetric solution of the urn
models is exact.