title:
Building Rules on Top of Ontologies for the Semantic Web with Inductive
  Logic Programming

abstract:
  Building rules on top of ontologies is the ultimate goal of the logical layer
of the Semantic Web. To this aim an ad-hoc mark-up language for this layer is
currently under discussion. It is intended to follow the tradition of hybrid
knowledge representation and reasoning systems such as $\mathcal{AL}$-log that
integrates the description logic $\mathcal{ALC}$ and the function-free Horn
clausal language \textsc{Datalog}. In this paper we consider the problem of
automating the acquisition of these rules for the Semantic Web. We propose a
general framework for rule induction that adopts the methodological apparatus
of Inductive Logic Programming and relies on the expressive and deductive power
of $\mathcal{AL}$-log. The framework is valid whatever the scope of induction
(description vs. prediction) is. Yet, for illustrative purposes, we also
discuss an instantiation of the framework which aims at description and turns
out to be useful in Ontology Refinement.
  Keywords: Inductive Logic Programming, Hybrid Knowledge Representation and
Reasoning Systems, Ontologies, Semantic Web.
  Note: To appear in Theory and Practice of Logic Programming (TPLP)


title:
Using Quantitative Spectroscopic Analysis to Determine the Properties
  and Distances of Type II-Plateau Supernovae: SNe 2005cs and 2006bp

abstract:
  We analyze the Type II Plateau supernovae (SN II-P) 2005cs and 2006bp with
the non-LTE model atmosphere code CMFGEN. We fit 13 spectra in the first month
for SN 2005cs and 18 for SN 2006bp. {\sl Swift} ultraviolet photometry and
ground-based optical photometry calibrate each spectrum. Our analysis shows
both objects were discovered less than 3 days after they exploded, making these
the earliest SN II-P spectra ever studied. They reveal broad and very weak
lines from highly-ionized fast ejecta with an extremely steep density profile.
We identify He{\sc ii} 4686\AA emission in the SN 2006bp ejecta. Days later,
the spectra resemble the prototypical Type II-P SN 1999em, which had a
supergiant-like photospheric composition. Despite the association of SN 2005cs
with possible X-ray emission, the emergent UV and optical light comes from the
photosphere, not from circumstellar emission.
  We surmise that the very steep density fall-off we infer at early times may
be a fossil of the combined actions of the shock wave passage and radiation
driving at shock breakout. Based on tailored CMFGEN models, the direct-fitting
technique and the Expanding Photosphere Method both yield distances and
explosion times that agree within a few percent. We derive a distance to NGC
5194, the host of SN 2005cs, of 8.9$\pm$0.5 Mpc and 17.5$\pm$0.8 Mpc for SN
2006bp in NGC 3953. The luminosity of SN 2006bp is 1.5 times that of SN 1999em,
and 6 times that of SN 2005cs. Reliable distances to Type II-P supernovae that
do not depend on a small range in luminosity provide an independent route to
the Hubble Constant and improved constraints on other cosmological parameters.


title:
Evidence for radial flow of thermal dileptons in high-energy nuclear
  collisions

abstract:
  The NA60 experiment at the CERN SPS has studied low-mass dimuon production in
158 AGeV In-In collisions. An excess of pairs above the known meson decays has
been reported before. We now present precision results on the associated
transverse momentum spectra. The slope parameter Teff extracted from the
spectra rises with dimuon mass up to the rho, followed by a sudden decline
above. While the initial rise is consistent with the expectations for radial
flow of a hadronic decay source, the decline signals a transition to an
emission source with much smaller flow. This may well represent the first
direct evidence for thermal radiation of partonic origin in nuclear collisions.


title: Gravitational force between two electrons in superconductors

abstract:
  The attractive gravitational force between two electrons in superconductors
is deduced from the Eddington-Dirac large number relation, together with Beck
and Mackey electromagnetic model of vacuum energy in superconductors. This
force is estimated to be weaker than the gravitational attraction between two
electrons in the vacuum.


title: Local Exchange Potentials for Electronic Structure Calculations

abstract:
  The Hartree-Fock exchange operator is an integral operator arising in the
Hartree-Fock method and replaced by a multiplicative operator (a local
potential) in Kohn-Sham density functional theory. This article presents a
detailed analysis of the mathematical properties of various local
approximations to the nonlocal Hartree-Fock exchange operator, including the
Slater potential, the optimized effective potential (OEP), the
Krieger-Li-Iafrate (KLI) and common energy-denominator approximations (CEDA) to
the OEP, and the effective local potential (ELP). In particular, we show that
the Slater, KLI, CEDA potentials and the ELP can all be defined as solutions to
certain variational problems. We also provide a rigorous derivation of the
integral OEP equation and establish the existence of a solution to a system of
coupled nonlinear partial differential equations defining the Slater
approximation to the Hartree-Fock equations.


title: Spotlight Tiling

abstract:
  This article introduces spotlight tiling, a type of covering which is similar
to tiling. The distinguishing aspects of spotlight tiling are that the "tiles"
have elastic size, and that the order of placement is significant. Spotlight
tilings are decompositions, or coverings, and can be considered dynamic as
compared to typical static tiling methods. A thorough examination of spotlight
tilings of rectangles is presented, including the distribution of such tilings
according to size, and how the directions of the spotlights themselves are
distributed. The spotlight tilings of several other regions are studied, and
suggest that further analysis of spotlight tilings will continue to yield
elegant results and enumerations.


title: Educing GPDs from amplitudes of hard exclusive processes

abstract:
  The dual parametrization of generalized parton distributions (GPDs) is
considered in details. We discuss which part of information about hadron
structure encoded in GPDs [part of total GPD image] can be restored from the
known amplitude of a hard exclusive process. The physics content of this
partial image is analyzed.


title:
The Late Time Behavior of False Vacuum Decay: Possible Implications for
  Cosmology and Metastable Inflating States

abstract:
  We describe here how the late time behavior of the decaying states, which is
predicted to deviate from an exponential form, while normally of insignificant
consequence, may have important cosmological implications in the case of false
vacuum decay. It may increase the likelihood of eternal inflation, and may help
explain the likelihood of observing a small vacuum energy at late times, as
well as arguing against decay into a large negative energy (anti-de Sitter
space), vacuum state as has been motivated by some string theory
considerations. Several interesting open questions are raised, including
whether observing the cosmological configuration of a metastable universe can
constrain its inferred lifetime.


title: Absorption spectrum of Ca atoms attached to $^4$He nanodroplets

abstract:
  Within density functional theory, we have obtained the structure of $^4$He
droplets doped with neutral calcium atoms. These results have been used, in
conjunction with newly determined {\it ab-initio} $^1\Sigma$ and $^1\Pi$ Ca-He
pair potentials, to address the $4s4p$ $^1$P$_1 \leftarrow 4s^2$ $^1$S$_0$
transition of the attached Ca atom, finding a fairly good agreement with
absorption experimental data. We have studied the drop structure as a function
of the position of the Ca atom with respect of the center of mass of the helium
moiety. The interplay between the density oscillations arising from the helium
intrinsic structure and the density oscillations produced by the impurity in
its neighborhood plays a role in the determination of the equilibrium state,
and hence in the solvation properties of alkaline earth atoms. In a case of
study, the thermal motion of the impurity within the drop surface region has
been analyzed in a semi-quantitative way. We have found that, although the
atomic shift shows a sizeable dependence on the impurity location, the thermal
effect is statistically small, contributing by about a 10% to the line
broadening. The structure of vortices attached to the calcium atom has been
also addressed, and its effect on the calcium absorption spectrum discussed. At
variance with previous theoretical predictions, we conclude that spectroscopic
experiments on Ca atoms attached to $^4$He drops will be likely unable to
detect the presence of quantized vortices in helium nanodrops.


title: Extendable Cohomologies for Complex Analytic Varieties

abstract:
  We introduce a cohomology, called extendable cohomology, for abstract complex
singular varieties based on suitable differential forms. Beside a study of the
general properties of such a cohomology, we show that, given a complex vector
bundle, one can compute its topological Chern classes using the extendable
Chern classes, defined via a Chern-Weil type theory. We also prove that the
localizations of the extendable Chern classes represent the localizations of
the respective topological Chern classes, thus obtaining an abstract residue
theorem for compact singular complex analytic varieties. As an application of
our theory, we prove a Camacho-Sad type index theorem for holomorphic
foliations of singular complex varieties.


title: From Big Crunch to Big Bang with AdS/CFT

abstract:
  The AdS/CFT correspondence is used to describe five-dimensional cosmology
with a big crunch singularity in terms of super-Yang-Mills theory on R times
S^3 deformed by a potential which is unbounded below. Classically, a Higgs
field in the dual theory rolls to infinity in finite time. But since the S^3 is
finite, the unstable mode spreads quantum mechanically and the singularity is
resolved when self-adjoint boundary conditions are imposed at infinity.
Asymptotic freedom of the coupling governing the instability gives us
computational control and the quantum spreading provides a UV cutoff on
particle creation. The bulk interpretation of our result is a quantum
transition from a big crunch to a big bang. An intriguing consequence of the
near scale-invariance of the dual theory is that a nearly scale-invariant
spectrum of stress-energy perturbations is automatically generated in the
boundary theory. We comment on implications for more realistic cosmologies.


title: Form factors of $S$-wave charmed baryon multiplet $J^P={1/2}^+$

abstract:
  Electric form factors of $S$-wave charmed baryons are calculated within the
relativistic quark model in the region of low and intermediate momentum
transfers, $Q^2 \le 1 GeV^2$. The charge radii of low-lying charmed baryons are
determined.


title:
The three-loop beta-function of SU(N) lattice gauge theories with
  overlap fermions

abstract:
  We briefly report our calculation of the 2-loop coefficient of the coupling
constant renormalization function Z_g in lattice perturbation theory. The
quantity under study is defined through g_0 = Z_g g, where g_0 (g) is the bare
(renormalized) coupling constant. The 2-loop expression for Z_g can be directly
related to the 3-loop bare beta-function beta_L(g_0).
  Our calculation is performed using overlap fermions and Wilson gluons, and
the background field technique has been chosen for convenience. Our results
depend explicitly on the number of fermion flavors (N_f) and colors (N). Since
the dependence of Z_g on the overlap parameter rho cannot be extracted
analytically, we tabulate our results for different values of rho in the
allowed range (0<rho<2), focusing on values which are being used most
frequently in simulations. Plots of the 1- and 2-loop results for Z_g versus
rho exhibit a nontrivial dependence on the overlap parameter.
  A longer write-up of this work may be found in 0709.4368.


title:
The Three-Color and Two-Color Tantrix(TM) Rotation Puzzle Problems are
  NP-Complete via Parsimonious Reductions

abstract:
  Holzer and Holzer (Discrete Applied Mathematics 144(3):345--358, 2004) proved
that the Tantrix(TM) rotation puzzle problem with four colors is NP-complete,
and they showed that the infinite variant of this problem is undecidable. In
this paper, we study the three-color and two-color Tantrix(TM) rotation puzzle
problems (3-TRP and 2-TRP) and their variants. Restricting the number of
allowed colors to three (respectively, to two) reduces the set of available
Tantrix(TM) tiles from 56 to 14 (respectively, to 8). We prove that 3-TRP and
2-TRP are NP-complete, which answers a question raised by Holzer and Holzer in
the affirmative. Since our reductions are parsimonious, it follows that the
problems Unique-3-TRP and Unique-2-TRP are DP-complete under randomized
reductions. We also show that the another-solution problems associated with
4-TRP, 3-TRP, and 2-TRP are NP-complete. Finally, we prove that the infinite
variants of 3-TRP and 2-TRP are undecidable.


title:
Resonance widths in open microwave cavities studied by harmonic
  inversion

abstract:
  From the measurement of a reflection spectrum of an open microwave cavity the
poles of the scattering matrix in the complex plane have been determined. The
resonances have been extracted by means of the harmonic inversion method. By
this it became possible to resolve the resonances in a regime where the line
widths exceed the mean level spacing up to a factor of 10, a value inaccessible
in experiments up to now. The obtained experimental distributions of line
widths were found to be in perfect agreement with predictions from random
matrix theory when wall absorption and fluctuations caused by couplings to
additional channels are considered.


title: Atom Fock state preparation by trap reduction

abstract:
  We study the production of low atom number Fock states by reducing suddenly
the potential trap in a 1D strongly interacting (Tonks-Girardeau) gas. The
fidelity of the Fock state preparation is characterized by the average and
variance of the number of trapped atoms. Two different methods are considered:
making the trap shallower (atom culling [A. M. Dudarev {\it et al.}, Phys. Rev.
Lett. {\bf 98}, 063001 (2007)], also termed ``trap weakening'' here) and making
the trap narrower (trap squeezing). When used independently, the efficiency of
both procedures is limited as a result of the truncation of the final state in
momentum or position space with respect to the ideal atom number state.
However, their combination provides a robust and efficient strategy to create
ideal Fock states.


title: Steady state entanglement between hybrid light-matter qubits

abstract:
  We study the case of two polaritonic qubits localized in two separate
cavities coupled by a fiber/additional cavity. We show that surprisingly
enough, even a coherent classical pump in the intermediate cavity/fiber can
lead to the creation of entanglement between the two ends in the steady state.
The stationary nature of this entanglement and its survival under dissipation
opens possibilities for its production under realistic laboratory conditions.
To facilitate the verification of the entanglement in an experiment we also
construct the relevant entanglement witness measurable by accessing only a few
local variables of each polaritonic qubit.


title: A quantum repeater based on decoherence free subspaces

abstract:
  We study a quantum repeater which is based on decoherence free quantum gates
recently proposed by Klein et al. [Phys. Rev. A 73, 012332 (2006)]. A number of
operations on the decoherence free subspace in this scheme makes use of an
ancilla qubit, which undergoes dephasing and thus introduces decoherence to the
system. We examine how this decoherence affects entanglement swapping and
purification as well as the performance of a quantum repeater. We compare the
decoherence free quantum repeater with a quantum repeater based on qubits that
are subject to decoherence and show that it outperforms the latter when
decoherence due to long waiting times of conventional qubits becomes
significant. Thus, a quantum repeater based on decoherence free subspaces is a
possibility to greatly improve quantum communication over long or even
intercontinental distances.


title:
The design of Kinetic Functionals for Many-Body Electron Systems :
  Combining analytical theory with Monte Carlo sampling of electronic
  configurations

abstract:
  In a previous work [L.Delle Site, J.Phys.A 40, 2787 (2007)] the derivation of
an analytic expression for the kinetic functional of a many-body electron
system has been proposed. Though analytical, the formula is still non local
(multidimensional) and thus not ideal for numerical applications. In this work,
by treating the test case of a uniform gas of interacting spinless electrons,
we propose a computational protocol which combines the previous analytic
results with the Monte Carlo (MC) sampling of electronic configurations in
space. This, we show, leads to an internally consistent scheme to design well
founded local kinetic functionals.


title:
Characterization and performances of new indium loaded organic liquid
  scintillators, based on novel indium carboxilate compounds

abstract:
  A novel formulation to dope organic liquid scintillators (OLS) with indium at
concentrations up to 10% is presented: it is based on specific indium
carboxylate compounds adequately synthesized. The produced In-OLS has been
characterized: it has light yield 8500 ph/MeV at indium concentration 5.5% and
light attenuation length of 2,5 m at wavelength of 430 nm. The scintillator
properties were stable during all time of investigation (~ 1 years). The
produced In-OLS is compared to other In-OLS formulations and shows superior
performances. The developed methodic to metal dope OLS can be easily extended
to other metals as Gd, Nd, Cd.


title:
On the asymptotic behaviour of increasing positive self-similar Markov
  processes

abstract:
  We are interested by the rate of growth of increasing positive self-similar
Markov processes (ipssMp) such that the subordinator associated to it via
Lamperti's transformation has infinite mean. We prove that the logarithm of an
ipssMp normalized by the logarithm of the time converges weakly, as the time
tends to infinity, if and only if the Laplace exponent of the underlying
subordinator is regularly varying at zero. Moreover, we prove that the regular
variation at zero of the Laplace exponent is essentially nasc for the existence
of a function that normalizes the logarithm of an ipssMp. We obtain a law of
iterated logarithm for the liminf of the logarithm of an ipssMp and an integral
test to study the upper envelope of it. Furthermore, results concerning the
rate of growth of the random clock appearing in Lamperti's transformation are
obtained.


title: Properties of a non-equilibrium heat bath

abstract:
  At equilibrium, a fluid element, within a larger heat bath, receives random
impulses from the bath. Those impulses, which induce stochastic transitions in
the system (the fluid element), respect the principle of detailed balance,
because the bath is also at equilibrium. Under continuous shear, the fluid
element adopts a non-equilibrium steady state. Because the surrounding bath of
fluid under shear is also in a non-equilibrium steady state, the system
receives stochastic impulses with a non-equilibrium distribution. Those
impulses no longer respect detailed balance, but are nevertheless constrained
by rules. The rules in question, which are applicable to a wide sub-class of
driven steady states, were recently derived [R. M. L. Evans, Phys. Rev. Lett.
{\bf 92}, 150601 (2004); J. Phys. A: Math. Gen. {\bf 38}, 293 (2005)] using
information-theoretic arguments. In the present paper, we provide a more
fundamental derivation, based on the uncontroversial, non-Bayesian
interpretation of probabilities as simple ratios of countable quantities. We
apply the results to some simple models of interacting particles, to
investigate the nature of forces that are mediated by a non-equilibrium
noise-source such as a fluid under shear.


title:
A Markov process associated with plot-size distribution in Czech Land
  Registry and its number-theoretic properties

abstract:
  The size distribution of land plots is a result of land allocation processes
in the past. In the absence of regulation this is a Markov process leading an
equilibrium described by a probabilistic equation used commonly in the
insurance and financial mathematics. We support this claim by analyzing the
distribution of two plot types, garden and build-up areas, in the Czech Land
Registry pointing out the coincidence with the distribution of prime number
factors described by Dickman function in the first case.


title: Superpotentials From Stringy Instantons Without Orientifolds

abstract:
  In this paper we show that it is possible to derive non-perturbative
superpotential terms from a stringy instanton without introducing orientifold
planes. The instanton is realized by a Euclidean D brane wrapping a non-trivial
cycle upon which we also wrap a single space-filling D brane. The standard
problem of unwanted neutral fermionic zero modes is evaded by the appearance of
couplings to charged bosonic zero modes in the instanton moduli action. Since
the Euclidean D brane wraps a cycle which is not associated to any low energy
gauge dynamics, it can not be interpreted as an ordinary gauge instanton, but
rather as a stringy one. By considering such a brane configuration at an
orbifold singularity, we can explicitly evaluate the instanton moduli space
integral and find a holomorphic superpotential term with the structure of a
baryonic mass term.


title:
Applying a resources framework to analysis of the Force and Motion
  Conceptual Evaluation

abstract:
  We suggest one redefinition of common clusters of questions used to analyze
student responses on the Force and Motion Conceptual Evaluation (FMCE). Our
goal is to move beyond the expert/novice analysis of student learning based on
pre-/post-testing and the correctness of responses (either on the overall test
or on clusters of questions defined solely by content). We use a resources
framework, taking special note of the contextual and representational
dependence of questions with seemingly similar physics content. We analyze
clusters in ways that allow the most common incorrect answers to give as much,
or more, information as the correctness of responses in that cluster.
Furthermore, we show that false positives can be found, especially on questions
dealing with Newton's Third Law.


title: Incoherent pion photoproduction on $^{12}$C

abstract:
  We present the first detailed measurement of incoherent photoproduction of
neutral pions to a discrete state of a residual nucleus. The
$^{12}$C$(\gamma,\pi^{0})^{12}$C$^{*}_{4.4MeV}$ reaction has been studied with
the Glasgow photon tagger at MAMI employing a new technique which uses the
large solid angle Crystal Ball detector both as a $\pi^{0}$ spectrometer and to
detect decay photons from the excited residual nucleus. The technique has
potential applications to a broad range of future nuclear measurements with the
Crystal Ball and similar detector systems elsewhere. The data are sensitive to
the propagation of the $\Delta$ in the nuclear medium and will give the first
information on matter transition form factors from measurements with an
electromagnetic probe. The incoherent cross sections are compared to two
theoretical predictions including a $\Delta$-hole model.


title:
Number variance of random zeros on complex manifolds, II: smooth
  statistics

abstract:
  We consider the zero sets $Z_N$ of systems of $m$ random polynomials of
degree $N$ in $m$ complex variables, and we give asymptotic formulas for the
random variables given by summing a smooth test function over $Z_N$. Our
asymptotic formulas show that the variances for these smooth statistics have
the growth $N^{m-2}$. We also prove analogues for the integrals of smooth test
forms over the subvarieties defined by $k<m$ random polynomials. Such linear
statistics of random zero sets are smooth analogues of the random variables
given by counting the number of zeros in an open set, which we proved elsewhere
to have variances of order $N^{m-1/2}$. We use the variance asymptotics and
off-diagonal estimates of Szego kernels to extend an asymptotic normality
result of Sodin-Tsirelson to the case of smooth linear statistics for zero sets
of codimension one in any dimension $m$.


title: Lightlike Braneworlds

abstract:
  We propose a new class of p-brane models describing intrinsically lightlike
branes in any world-volume dimensions. Properties of the dynamics of these
lightlike p-branes in various gravitational backgrounds of interest in the
context of braneworlds are briefly described. Codimenion two (and more)
lightlike braneworlds perform in their ground states non-trivial motions in the
extra dimensions in sharp contrast to standard (Nambu-Goto) braneworlds.


title: Cosmic microwave anisotropies from BPS semilocal strings

abstract:
  We present the first ever calculation of cosmic microwave background CMB
anisotropy power spectra from semilocal cosmic strings, obtained via
simulations of a classical field theory. Semilocal strings are a type of
non-topological defect arising in some models of inflation motivated by
fundamental physics, and are thought to relax the constraints on the symmetry
breaking scale as compared to models with (topological) cosmic strings. We
derive constraints on the model parameters, including the string tension
parameter mu, from fits to cosmological data, and find that in this regard BPS
semilocal strings resemble global textures more than topological strings. The
observed microwave anisotropy at l = 10 is reproduced if Gmu = 5.3x10^{-6} (G
is Newton's constant). However as with other defects the spectral shape does
not match observations, and in models with inflationary perturbations plus
semilocal strings the 95% confidence level upper bound is Gmu<2.0x10^{-6} when
CMB data, Hubble Key Project and Big Bang Nucleosynthesis data are used (c.f.
Gmu<0.9x10^{-6} for cosmic strings). We additionally carry out a Bayesian model
comparison of several models with and without defects, showing models with
defects are neither conclusively favoured nor disfavoured at present.


title:
A search for diffuse bands in the circumstellar envelopes of post-AGB
  stars

abstract:
  In this work we present the results of a systematic search for diffuse bands
(DBs, hereafter) in the circumstellar envelopes of a carefully selected sample
of post-AGB stars. We concentrated on the analysis of 9 of the DBs most
commonly found in the interstellar medium. The strength of these features is
determined using high resolution optical spectroscopy and the results obtained
are compared with literature data on field stars affected only by interstellar
reddening. Based on the weak features observed in the subsample of post-AGB
stars dominated by circumstellar reddening we conclude that the carrier(s) of
these DBs must not be present in the circumstellar environment of these
sources, or at least not under the excitation conditions in which DBs are
formed. The conclusion is applicable to all the post-AGB stars studied,
irrespective of the dominant chemistry or the spectral type of the star
considered. A detailed radial velocity analysis of the features observed in
individual sources confirms this result, as the Doppler shifts measured are
found to be consistent with an interstellar origin.


title: Magnetic and orbital ordering in the spinel MnV2O4

abstract:
  Neutron inelastic scattering and diffraction techniques have been used to
study the MnV2O4 spinel system. Our measurements show the existence of two
transitions to long-range ordered ferrimagnetic states; the first collinear and
the second noncollinear. The lower temperature transition, characterized by
development of antiferromagnetic components in the basal plane, is accompanied
by a tetragonal distortion and the appearance of a gap in the magnetic
excitation spectrum. The low-temperature noncollinear magnetic structure has
been definitively resolved. Taken together, the crystal and magnetic structures
indicate a staggered ordering of the V d orbitals. The anisotropy gap is a
consequence of unquenched V orbital angular momentum.


title: Branching properties for the groups G(de,e,r)

abstract:
  We study general properties of the restriction of the representations of the
finite complex reflection groups $G(de,e,r+1)$ to their maximal parabolic
subgroups of type $G(de,e,r)$, and focus notably on the multiplicity of
components. In combinatorial terms, this amounts to the following question :
which symmetries arise or disappear when one changes (exactly) one pearl in a
combinatorial necklace ?


title:
Optical design of reflectionless complex media by finite embedded
  coordinate transformations

abstract:
  Transformation optics offers an unconventional approach to the control of
electromagnetic fields. A transformation optical structure is designed by first
applying a form-invariant coordinate transform to Maxwell's equations, in which
part of free space is distorted in some desired manner. The coordinate
transformation is then applied to the permittivity and permeability tensors to
yield the specification for a complex medium with desired functionality. The
transformation optical structures proposed to date, such as electromagnetic
"invisibility" cloaks and concentrators, are inherently reflectionless and
leave the transmitted wave undisturbed. Here we expand the class of
transformation optical structures by introducing finite, embedded coordinate
transformations, which allow the electromagnetic waves to be steered or
focused. We apply the method to the design of several devices, including a
parallel beam shifter and a beam splitter, both of which exhibit unusual
electromagnetic behavior as confirmed by 2D full-wave simulations. The devices
are designed to be reflectionless, in accordance with a straightforward
topological criterion.


title: Homology of tropical varieties

abstract:
  Given a closed subvariety of an algebraic torus, the associated tropical
variety is a polyhedral fan in the space of 1-parameter subgroups of the torus
which describes the behaviour of the subvariety at infinity. We show that the
link of the origin has only top rational homology if a genericity condition is
satisfied. Our result is obtained using work of Tevelev and Deligne's theory of
mixed Hodge structures.


title: A Coherent Nonlinear Optical Signal Induced by Electron Correlations

abstract:
  The correlated behavior of electrons determines the structure and optical
properties of molecules, semiconductor and other systems. Valuable information
on these correlations is provided by measuring the response to femtosecond
laser pulses, which probe the very short time period during which the excited
particles remain correlated. The interpretation of four-wave-mixing techniques,
commonly used to study the energy levels and dynamics of many-electron systems,
is complicated by many competing effects and overlapping resonances. Here we
propose a coherent optical technique, specifically designed to provide a
background-free probe for electronic correlations in many-electron systems. The
proposed signal pulse is generated only when the electrons are correlated,
which gives rise to an extraordinary sensitivity. The peak pattern in
two-dimensional plots, obtained by displaying the signal vs. two frequencies
conjugated to two pulse delays, provides a direct visualization and specific
signatures of the many-electron wavefunctions.


title: Maximal and minimal height distributions of fluctuating interfaces

abstract:
  We study numerically the maximal and minimal height distributions (MAHD,
MIHD) of the nonlinear interface growth equations of second and fourth order
and of related lattice models in two dimensions. MAHD and MIHD are different
due to the asymmetry of the local height distribution, so that, in each class,
the sign of the relevant nonlinear term determines which one of two universal
curves is the MAHD and the MIHD. The average maximal and minimal heights scale
as the average roughness, in contrast to Edwards-Wilkinson (EW) growth. All
extreme height distributions, including the EW ones, have tails that cannot be
fit by generalized Gumbel distributions.


title: On the mu-bar invariant of rational surface singularities

abstract:
  We show that for rational surface singularities with odd determinant the
mu-bar invariant defined by W. Neumann is an obstruction for the link of the
singularity to bound a rational homology 4-ball. We identify the mu-bar
invariant with the corresponding correction term in Heegaard Floer theory.


title: The Effros-Ruan conjecture for bilinear forms on C^*-algebras

abstract:
  In 1991 Effros and Ruan conjectured that a certain Grothendieck-type
inequality for a bilinear form on C$^*$-algebras holds if (and only if) the
bilinear form is jointly completely bounded. In 2002 Pisier and Shlyakhtenko
proved that this inequality holds in the more general setting of operator
spaces, provided that the operator spaces in question are exact. Moreover, they
proved that the conjecture of Effros and Ruan holds for pairs of
C$^*$-algebras, of which at least one is exact. In this paper we prove that the
Effros-Ruan conjecture holds for general C$^*$-algebras, with constant one.
More precisely, we show that for every jointly completely bounded (for short,
j.c.b.) bilinear form on a pair of C$^*$-algebras $A$ and $B$, there exist
states $f_1$, $f_2$ on $A$ and $g_1$, $g_2$ on $B$ such that for all $a\in A$
and $b\in B$,
  |u(a, b)| \leq ||u||_{jcb}(f_1(aa^*)^{1/2}g_1(b^*b)^{1/2} +
f_2(a^*a)^{1/2}g_2(bb^*)^{1/2}) .
  While the approach by Pisier and Shlyakhtenko relies on free probability
techniques, our proof uses more classical operator algebra theory, namely,
Tomita-Takesaki theory and special properties of the Powers factors of type
III$_\lambda$, $0< \lambda< 1$ .


title: On Perturbations of Quasiperiodic Schroedinger Operators

abstract:
  Using relative oscillation theory and the reducibility result of Eliasson, we
study perturbations of quasiperiodic Schroedinger operators. In particular, we
derive relative oscillation criteria and eigenvalue asymptotics for critical
potentials.


title: Forbidden ordinal patterns in higher dimensional dynamics

abstract:
  Forbidden ordinal patterns are ordinal patterns (or `rank blocks') that
cannot appear in the orbits generated by a map taking values on a linearly
ordered space, in which case we say that the map has forbidden patterns. Once a
map has a forbidden pattern of a given length $L_{0}$, it has forbidden
patterns of any length $L\ge L_{0}$ and their number grows superexponentially
with $L$. Using recent results on topological permutation entropy, we study in
this paper the existence and some basic properties of forbidden ordinal
patterns for self maps on n-dimensional intervals. Our most applicable
conclusion is that expansive interval maps with finite topological entropy have
necessarily forbidden patterns, although we conjecture that this is also the
case under more general conditions. The theoretical results are nicely
illustrated for n=2 both using the naive counting estimator for forbidden
patterns and Chao's estimator for the number of classes in a population. The
robustness of forbidden ordinal patterns against observational white noise is
also illustrated.


title: An Estimate of the Partial Width for X(3872) into p p-bar

abstract:
  We present an estimate of the partial width of X(3872) into p p-bar under the
assumption that it is a weakly-bound hadronic molecule whose constituents are a
superposition of the charm mesons D^{*0} D-bar^0 and D^{0} D-bar^{*0}. The p
p-bar partial width of X is therefore related to the cross section for p p-bar
to D^{*0} D-bar^0 near the threshold. That cross section at an energy well
above the threshold is estimated by scaling the measured cross section for p
p-bar to K^{*-} K^+. It is extrapolated to the D^{*0} D-bar^0 threshold by
taking into account the threshold resonance in the 1^{++} channel. The
resulting prediction for the p p-bar partial width of X(3872) is proportional
to the square root of its binding energy. For the current central value of the
binding energy, the estimated partial width into p p-bar is comparable to that
of the P-wave charmonium state chi_{c1}.


title: Theory of electric polarization induced by inhomogeneity in crystals

abstract:
  We develop a general theory of electric polarization induced by inhomogeneity
in crystals. We show that contributions to polarization can be classified in
powers of the gradient of the order parameter. The zeroth order contribution
reduces to the well-known result obtained by King-Smith and Vanderbilt for
uniform systems. The first order contribution, when expressed in a two-point
formula, takes the Chern-Simons 3-form of the vector potentials derived from
the Bloch wave functions. Using the relation between polarization and charge
density, we demonstrate our formula by studying charge fractionalization in a
two-dimensional dimer model recently proposed.


title:
Testing Kak's Conjecture on Binary Reciprocal of Primes and
  Cryptographic Applications

abstract:
  This note considers reciprocal of primes in binary representation and shows
that the conjecture that 0s exceed 1s in most cases continues to hold for
primes less one million. The conjecture has also been tested for ternary
representation with similar results. Some applications of this result to
cryptography are discussed.


title: A catalog of planetary nebulae in the elliptical galaxy NGC 4697

abstract:
  We present a catalog of 535 planetary nebulae discovered in the flattened
elliptical galaxy NGC 4697, using the FORS1 Cassegrain spectrograph of the Very
Large Telescope of the European Southern Observatory at Cerro Paranal, Chile.
The catalog provides positions (x, y coordinates relative to the center of
light of NGC 4697, as well as RA, Dec.), and, for almost all PNs, the magnitude
m(5007) and the heliocentric radial velocity in km/s.


title:
A Fundamental Lower Bound of Actuating Energy for Broadband Photon
  Switching

abstract:
  We derive a universal lower bound of actuating energy $E_{s}$ for broadband
photon switching by using an uncertainty relation between time and the negative
energy density of quantum fields. We find that broadband photon switching
between perfect reflection and perfect transmission over a time $t_s$ should
satisfy $E_{s}\geq\frac{\hbar}{6\pi t_s}$.


title: Doubles for monoidal categories

abstract:
  In a recent paper, Daisuke Tambara defined two-sided actions on an endomodule
(= endodistributor) of a monoidal V-category A. When A is autonomous (= rigid =
compact), he showed that the V-category (that we call Tamb(A)) of so-equipped
endomodules (that we call Tambara modules) is equivalent to the monoidal centre
Z[A,V] of the convolution monoidal V-category [A,V]. Our paper extends these
ideas somewhat. For general A, we construct a promonoidal V-category DA (which
we suggest should be called the double of A) with an equivalence [DA,V] \simeq
Tamb(A). When A is closed, we define strong (respectively, left strong) Tambara
modules and show that these constitute a V-category Tamb_s(A) (respectively,
Tamb_{ls}(A)) which is equivalent to the centre (respectively, lax centre) of
[A,V]. We construct localizations D_s A and D_{ls} A of DA such that there are
equivalences Tamb_s(A) \simeq [D_s A,V] and Tamb_{ls}(A) \simeq [D_{ls} A,V].
When A is autonomous, every Tambara module is strong; this implies an
equivalence Z[A,V] \simeq [DA,V].


title:
Cosmic Covariance and the Low Quadrupole Anisotropy of the Wilkinson
  Microwave Anisotropy Probe (WMAP) Data

abstract:
  The quadrupole power of cosmic microwave background (CMB) temperature
anisotropies seen in the WMAP data is puzzlingly low. In this paper we
demonstrate that Minimum Variance Optimization (MVO), a technique used by many
authors (including the WMAP science team) to separate the CMB from
contaminating foregrounds, has the effect of forcing the extracted CMB map to
have zero statistical correlation with the foreground emission. Over an
ensemble of universes the true CMB and foreground are indeed expected to be
uncorrelated, but any particular sky pattern (such as the one we happen to
observe) will generate non-zero measured correlations simply by chance. We call
this effect "cosmic covariance" and it is a possible source of bias in the CMB
maps cleaned using the MVO technique. We show that the presence of cosmic
covariance is expected to artificially suppress the variance of the Internal
Linear Combination (ILC) map obtained via MVO. It also propagates into the
multipole expansion of the ILC map, generating a quadrupole deficit with more
than 90% confidence. Since we do not know the CMB and the foregrounds a priori,
there is therefore an unknown contribution to the uncertainty in the measured
quadrupole power, over and above the usual cosmic variance contribution. Using
the MVO on a series of Monte Carlo simulations that assume Gaussian CMB
fluctuations, we estimate that the real quadrupole power of the CMB lies in the
range [305.16,400.40] microKelvin^2 (at the 1-sigma level).


title: Characterizing the Near-UV Environment of M Dwarfs

abstract:
  We report the results of our HST snapshot survey with the ACS HRC PR200L
prism, designed to measure the near-UV emission in a sample of nearby M dwarfs.
33 stars were observed, spanning the mass range from 0.1 - 0.6 solar masses
(T_eff ~ 2200K - 4000K) where the UV energy distributions vary widely between
active and inactive stars. These observations provide much-needed constraints
on models of the habitability zone and the atmospheres of possible terrestrial
planets orbiting M dwarf hosts, and will be useful in refining the target
selection for future space missions such as TPF. We compare our data with a new
generation of M dwarf atmospheric models and discuss their implication for the
chromospheric energy budget. These NUV data will also be valuable in
conjunction with existing optical, FUV and X-ray data to explore unanswered
questions regarding the dynamo generation and magnetic heating in low-mass
stars.


title:
An improved measurement of the flux distribution of the Ly-alpha forest
  in QSO absorption spectra: the effect of continuum fitting, metal
  contamination and noise properties

abstract:
  We have performed an extensive Voigt profile analysis of the neutral hydrogen
(HI) and metal absorption present in a sample of 18 high resolution, high
signal-to-noise QSO spectra observed with VLT/UVES. We use this analysis to
separate the metal contribution from the HI absorption and present an improved
measurement of the flux probability distribution function (PDF) due to HI
absorption alone at <z> = 2.07, 2.52, and 2.94. The flux PDF is sensitive to
the continuum fit in the normalised flux range 0.8 < F < 1.0 and to metal
absorption at 0.2 < F < 0.8. Our new measurements of the flux PDF due to HI
absorption alone are systematically lower at 0.2 < F < 0.8 by up to 30%
compared to the widely used measurement of McDonald et al. (2000), based on a
significantly smaller sample of Keck/HIRES data. This discrepancy is probably
due to a combination of our improved removal of the metal absorption and cosmic
variance, since variations in the flux PDF between different lines-of-sight are
large. The HI effective optical depth at 1.7 < z < 4 is best fit with a single
power law, (0.0023 +-0.0007) (1+z)^(3.65 +- 0.21), in good agreement with
previous measurements from comparable data. As also found previously, the
effect of noise on the flux distribution is not significant in high resolution,
high signal-to-noise data.


title:
Galaxy Cluster Correlation Function to z ~ 1.5 in the IRAC Shallow
  Cluster Survey

abstract:
  We present the galaxy cluster autocorrelation function of 277 galaxy cluster
candidates with 0.25 \le z \le 1.5 in a 7 deg^2 area of the IRAC Shallow
Cluster Survey. We find strong clustering throughout our galaxy cluster sample,
as expected for these massive structures. Specifically, at <z> = 0.5 we find a
correlation length of r_0 = 17.40^{+3.98}_{-3.10} h^-1 Mpc, in excellent
agreement with the Las Campanas Distant Cluster Survey, the only other
non-local measurement. At higher redshift, <z> = 1, we find that strong
clustering persists, with a correlation length of r_0=19.14^{+5.65}_{-4.56}
h^-1 Mpc. A comparison with high resolution cosmological simulations indicates
these are clusters with halo masses of \sim 10^{14} Msun, a result supported by
estimates of dynamical mass for a subset of the sample. In a stable clustering
picture, these clusters will evolve into massive (10^{15} Msun) clusters by the
present day.


title: Enhancing Domain Wall Speed in Nanowires with Transverse Magnetic Fields

abstract:
  Dynamic micromagnetic simulation studies have been completed to observe the
motion of a domain wall in a magnetic nanowire in an effort to increase the
field-driven domain wall speed. Previous studies have shown that the wire
dimensions place a cap on the maximum speed attainable by a domain wall when
driven by a magnetic field placed along the direction of the nanowire. Here we
present data showing a significant increase in the maximum speed of a domain
wall due to the addition of a magnetic field placed perpendicular to the
longitudinal driving field. The results are expressed in terms of the relative
alignment of the transverse field direction with respect to the direction of
the magnetic moments within the domain wall. In particular, when the transverse
field is parallel to the magnetic moments within the domain wall, the velocity
of the wall varies linearly with the strength of the transverse field
increasing by up to 20%. Further examination of the domain wall structure shows
that the length of the domain wall also depends linearly on the strength of the
transverse field. We present a simple model to correlate the effects.


title:
Stellar growth by disk accretion: the effect of disk irradiation on the
  protostellar evolution

abstract:
  Young stars are expected to gain most of their mass by accretion from a disk
that forms around them as a result of angular momentum conservation in the
collapsing protostellar cloud. Accretion initially proceeds at high rates of
10^{-6}-10^{-5} M_Sun/yr resulting in strong irradiation of the stellar surface
by the hot inner portion of the disk and leading to the suppression of the
intrinsic stellar luminosity. Here we investigate how this luminosity
suppression affects evolution of the protostellar properties. Using simple
model based on the energy balance of accreting star we demonstrate that disk
irradiation causes only a slight increase of the protostellar radius, at the
level of several per cent. Such a weak effect is explained by a minor role
played by the intrinsic stellar luminosity (at the time when it is
significantly altered by irradiation) in the protostellar energy budget
compared to the stellar deuterium burning luminosity and the inflow of the
gravitational potential energy brought in by the freshly accreted material. Our
results justify the neglect of irradiation effects in previous studies of the
protostellar growth via disk accretion. Evolution of some other actively
accreting objects such as young brown dwarfs and planets should also be only
weakly sensitive to the effects of disk irradiation.


title:
Langevin Simulation of Scalar Fields: Additive and Multiplicative Noises
  and Lattice Renormalization

abstract:
  We consider the Langevin lattice dynamics for a spontaneously broken lambda
phi^4 scalar field theory where both additive and multiplicative noise terms
are incorporated. The lattice renormalization for the corresponding stochastic
Ginzburg-Landau-Langevin and the subtleties related to the multiplicative noise
are investigated.


title: New $L_p$ Affine Isoperimetric Inequalities

abstract:
  We prove new $L_p$ affine isoperimetric inequalities for all $ p \in
[-\infty,1)$. We establish, for all $p\neq -n$, a duality formula which shows
that $L_p$ affine surface area of a convex body $K$ equals $L_\frac{n^2}{p}$
affine surface area of the polar body $K^\circ$.


title: How do Black Holes Spin in Chern-Simons Modified Gravity?

abstract:
  No Kerr-like exact solution has yet been found in Chern-Simons modified
gravity. Intrigued by this absence, we study stationary and axisymmetric
metrics that could represent the exterior field of spinning black holes. For
the standard choice of the background scalar, the modified field equations
decouple into the Einstein equations and additional constraints. These
constraints eliminate essentially all solutions except for Schwarzschild. For
non-canonical choices of the background scalar, we find several exact solutions
of the modified field equations, including mathematical black holes and
pp-waves. We show that the ultrarelativistically boosted Kerr metric can
satisfy the modified field equations, and we argue that physical spinning black
holes may exist in Chern-Simons modified gravity only if the metric breaks
stationarity, axisymmetry or energy-momentum conservation.


title: Electrically-driven phase transition in magnetite nanostructures

abstract:
  Magnetite (Fe$_{3}$O$_{4}$), an archetypal transition metal oxide, has been
used for thousands of years, from lodestones in primitive compasses[1] to a
candidate material for magnetoelectronic devices.[2] In 1939 Verwey[3] found
that bulk magnetite undergoes a transition at T$_{V}$ $\approx$ 120 K from a
high temperature "bad metal" conducting phase to a low-temperature insulating
phase. He suggested[4] that high temperature conduction is via the fluctuating
and correlated valences of the octahedral iron atoms, and that the transition
is the onset of charge ordering upon cooling. The Verwey transition mechanism
and the question of charge ordering remain highly controversial.[5-11] Here we
show that magnetite nanocrystals and single-crystal thin films exhibit an
electrically driven phase transition below the Verwey temperature. The
signature of this transition is the onset of sharp conductance switching in
high electric fields, hysteretic in voltage. We demonstrate that this
transition is not due to local heating, but instead is due to the breakdown of
the correlated insulating state when driven out of equilibrium by electrical
bias. We anticipate that further studies of this newly observed transition and
its low-temperature conducting phase will shed light on how charge ordering and
vibrational degrees of freedom determine the ground state of this important
compound.


title: Bubbling Calabi-Yau geometry from matrix models

abstract:
  We study bubbling geometry in topological string theory. Specifically, we
analyse Chern-Simons theory on both the 3-sphere and lens spaces in the
presence of a Wilson loop insertion of an arbitrary representation. For each of
these three manifolds we formulate a multi-matrix model whose partition
function is the vev of the Wilson loop and compute the spectral curve. This
spectral curve is the reduction to two dimensions of the mirror to a Calabi-Yau
threefold which is the gravitational dual of the Wilson loop insertion. For
lens spaces the dual geometries are new. We comment on a similar matrix model
which appears in the context of Wilson loops in AdS/CFT.


title: Exploring the epsilon regime with twisted mass fermions

abstract:
  In this proceeding contribution we report on a first study in order to
explore the so called epsilon regime with Wilson twisted mass (Wtm) fermions.
To show the potential of this approach we give a preliminary determination of
the chiral condensate.


title: Ultrahigh Energy Cosmic Rays and Neutrinos

abstract:
  We discuss the relation between the highest energy cosmic rays
  (UHECR) and UHE neutrinos. The neutrinos produced in the sources of optically
thin astrophysical sources have been linked to the UHECR emissivity of the
Universe. The fluxes of cosmogenic neutrinos, generated in propagation by
UHECR, also reflect the acceleration of these particles, the maximum
acceleration energy, and the cosmological evolution of their sources.


title: Musical Actions of Dihedral Groups

abstract:
  The sequence of pitches which form a musical melody can be transposed or
inverted. Since the 1970s, music theorists have modeled musical transposition
and inversion in terms of an action of the dihedral group of order 24. More
recently music theorists have found an intriguing second way that the dihedral
group of order 24 acts on the set of major and minor chords. We illustrate both
geometrically and algebraically how these two actions are {\it dual}. Both
actions and their duality have been used to analyze works of music as diverse
as Hindemith and the Beatles.


title:
Dated ancestral trees from binary trait data and its application to the
  diversification of languages

abstract:
  Binary trait data record the presence or absence of distinguishing traits in
individuals. We treat the problem of estimating ancestral trees with time depth
from binary trait data. Simple analysis of such data is problematic. Each
homology class of traits has a unique birth event on the tree, and the birth
event of a trait visible at the leaves is biased towards the leaves. We propose
a model-based analysis of such data, and present an MCMC algorithm that can
sample from the resulting posterior distribution. Our model is based on using a
birth-death process for the evolution of the elements of sets of traits. Our
analysis correctly accounts for the removal of singleton traits, which are
commonly discarded in real data sets. We illustrate Bayesian inference for two
binary-trait data sets which arise in historical linguistics. The Bayesian
approach allows for the incorporation of information from ancestral languages.
The marginal prior distribution of the root time is uniform. We present a
thorough analysis of the robustness of our results to model mispecification,
through analysis of predictive distributions for external data, and fitting
data simulated under alternative observation models. The reconstructed ages of
tree nodes are relatively robust, whilst posterior probabilities for topology
are not reliable.


title: Random walk approach to the d-dimensional disordered Lorentz gas

abstract:
  A correlated random walk approach to diffusion is applied to the disordered
nonoverlapping Lorentz gas. By invoking the Lu-Torquato theory for chord-length
distributions in random media [J. Chem. Phys. 98, 6472 (1993)], an analytic
expression for the diffusion constant in arbitrary number of dimensions d is
obtained. The result corresponds to an Enskog-like correction to the Boltzmann
prediction, being exact in the dilute limit, and better or nearly exact in
comparison to renormalized kinetic theory predictions for all allowed densities
in d=2,3. Extensive numerical simulations were also performed to elucidate the
role of the approximations involved.


title:
Goal-Oriented Adaptive Mesh Refinement for the Quasicontinuum
  Approximation of a Frenkel-Kontorova Model

abstract:
  The quasicontinuum approximation is a method to reduce the atomistic degrees
of freedom of a crystalline solid by piecewise linear interpolation from
representative atoms that are nodes for a finite element triangulation. In
regions of the crystal with a highly nonuniform deformation such as around
defects, every atom must be a representative atom to obtain sufficient
accuracy, but the mesh can be coarsened away from such regions to remove
atomistic degrees of freedom while retaining sufficient accuracy. We present an
error estimator and a related adaptive mesh refinement algorithm for the
quasicontinuum approximation of a generalized Frenkel-Kontorova model that
enables a quantity of interest to be efficiently computed to a predetermined
accuracy.


title:
Global effects of local sound-speed perturbations in the Sun: A
  theoretical study

abstract:
  We study the effect of localized sound-speed perturbations on global mode
frequencies by applying techniques of global helioseismology on numerical
simulations of the solar acoustic wave field. Extending the method of
realization noise subtraction (e.g. Hanasoge et al. 2007) to global modes and
exploiting the luxury of full spherical coverage, we are able to achieve very
highly resolved frequency differences that are used to study sensitivities and
the signatures of the thermal asphericities. We find that (1) global modes are
almost twice as sensitive to sound-speed perturbations at the bottom of the
convection zone as in comparison to anomalies well in the radiative interior
($r\lesssim0.55 R_\odot$), (2) the $m$-degeneracy is lifted ever so slightly,
as seen in the $a$ coefficients, and (3) modes that propagate in the vicinity
of the perturbations show small amplitude shifts ($\sim 0.5%$).


title:
Enhanced low energy fusion rate in palladium (Pd) due to vibrational
  deuteron dipole-dipole interactions and associated resonant tunneling that
  over-cancels the Jastrow factor between deuteron pair wavefunctions

abstract:
  We show that interstitial hydrogen nucleii on a metallic lattice are strongly
coupled to their near neighbours by the unscreened electromagnetic field
mediating transitions between low-lying states. We then show that in
almost-stoichiometric PdD clusters, in which most interstitial sites are
occupied by a deuteron, certain specific superpositions of many-site product
states exist that are lower in energy than the single-site ground state,
suggesting the existence of a new low temperature phase. The modified behaviour
of the two-particle wavefunction at small separations is investigated and
prelimary results suggesting an over-canceling of the effective Coulomb barrier
are presented.


title: Area, ladder symmetry, degeneracy and fluctuations of a horizon

abstract:
  Loop quantum gravity admits a kind of area quantization that is characterized
by three quantum numbers. We show the complete spectrum of area is the union of
equidistant subsets and a universal reformulation with fewer parameters is
possible. Associated with any area there is also another number that determines
its degeneracy. One application is that a quantum horizon manifests harmonic
modes in vacuum fluctuations. It is discussed the physical fluctuations of a
space-time horizon should include all the excluded area eigenvalues, where
quantum amplification effect occurs. Due to this effect the uniformity of
transition matrix elements between near levels could be assumed. Based on
these, a modification to the previous method of analyzing the radiance
intensities in hep-th/0607081 is presented that makes the result one step
further precise. A few of harmonic modes appear to be extremely amplified on
top of the Hawking's radiation. They are expected to form a few brightest lines
with the wavelength not larger than the black hole size.


title: PSR J1738+0333: a new gravitational laboratory

abstract:
  We describe in this paper a new binary millisecond pulsar, PSR J1738+0333.
Using Arecibo, we have achieved good timing accuracy for this object, about 220
ns for 1-hour integrations over 100 MHz. This allowed us to measure a precise
proper motion, parallax and orbital parameters for this system. We highlight
the system's potential for constraining alternative theories of gravitation.


title: GPDs with $\zeta \neq 0$

abstract:
  We revisit the light-cone wave function representation for generalized parton
distributions with $\zeta\neq 0$. After translating the $t$-slope into a
$\Delta_\perp^2$-slope, the two-dimensional Fourier transform of GPDs is
interpreted as the transition matrix element as a function of the separation
between the active quark and the center of momentum of the spectators. In the
limit $x\to \zeta$ it is discussed how this information can be used to learn
about the dependence of the mean separation between the active quark and the
spectators on the momentum fraction carried by the active quark.


title: Optimizing the discrete time quantum walk using a SU(2) coin

abstract:
  We present a generalized version of the discrete time quantum walk, using the
SU(2) operation as the quantum coin. By varying the coin parameters, the
quantum walk can be optimized for maximum variance subject to the functional
form $\sigma^2 \approx N^2$ and the probability distribution in the position
space can be biased. We also discuss the variation in measurement entropy with
the variation of the parameters in the SU(2) coin. Exploiting this we show how
quantum walk can be optimized for improving mixing time in an $n$-cycle and for
quantum walk search.


title: The Eccentric Binary Millisecond Pulsar in NGC 1851

abstract:
  PSR J0514-4002A is a 5-ms pulsar is located in the globular cluster NGC 1851;
it belongs to a highly eccentric (e = 0.888) binary system. It is one of the
earliest known examples of a numerous and fast-growing class of eccentric
binary MSPs recently discovered in globular clusters. Using the GBT, we have
obtained a phase-coherent timing solution for the pulsar, which includes a
measurement of the rate of advance of periastron: 0.01289(4) degrees per year,
which if due completely to general relativity, implies a total system mass of
2.453(14) solar masses. We also derive m_p < 1.5 solar masses and m_c > 0.96
solar masses. The companion is likely to be a massive white dwarf star.


title: Duality of Schramm-Loewner Evolutions

abstract:
  In this note, we prove a version of the conjectured duality of
Schramm-Loewner Evolutions, by establishing exact identities in distribution
between some boundary arcs of chordal $\SLE_\kappa$, $\kappa>4$, and
appropriate versions of $\SLE_{\hat\kappa}$, $\hat\kappa=16/\kappa$.


title: Static dipole polarizability of C70 fullerene

abstract:
  The electronic and vibrational contributions to the static dipole
polarizability of C70 fullerene are determined using the finite-field method
within the density functional formalism. Large polarized Gaussian basis sets
augmented with diffuse functions are used and the exchange-correlation effects
are described within the Perdew-Burke-Ernzerhof generalized gradient
approximation (PBE-GGA). The calculated polarizability of C70 is 103
Angstrom^3, in excellent agreement with the experimental value of 102
Angstrom^3, and is completely determined by the electronic part, vibrational
contribution being negligible. The ratio of polarizabilities of C70 and C60 is
1.26. The comparison of polarizability calculated with only local terms (LDA)
in the PBE functional to that obtained with PBE-GGA shows that LDA is
sufficient to determine the static dipole polarizability of C70.


title:
Some Mathematical and Numerical Issues in Geophysical Fluid Dynamics and
  Climate Dynamics

abstract:
  In this article, we address both recent advances and open questions in some
mathematical and computational issues in geophysical fluid dynamics (GFD) and
climate dynamics. The main focus is on 1) the primitive equations (PEs) models
and their related mathematical and computational issues, 2) climate
variability, predictability and successive bifurcation, and 3) a new dynamical
systems theory and its applications to GFD and climate dynamics.


title:
A Class of Infinite Dimensional Diffusion Processes with Connection to
  Population Genetics

abstract:
  Starting from a sequence of independent Wright-Fisher diffusion processes on
$[0,1]$, we construct a class of reversible infinite dimensional diffusion
processes on $\DD_\infty:= \{{\bf x}\in [0,1]^\N: \sum_{i\ge 1} x_i=1\}$ with
GEM distribution as the reversible measure. Log-Sobolev inequalities are
established for these diffusions, which lead to the exponential convergence to
the corresponding reversible measures in the entropy. Extensions are made to a
class of measure-valued processes over an abstract space $S$. This provides a
reasonable alternative to the Fleming-Viot process which does not satisfy the
log-Sobolev inequality when $S$ is infinite as observed by W. Stannat \cite{S}.


title: Five New Transits of the Super-Neptune HD 149026

abstract:
  We present new photometry of HD 149026 spanning five transits of its
"super-Neptune" planet. In combination with previous data, we improve upon the
determination of the planet-to-star radius ratio: R_p/R_star =
0.0491^{+0.0018}_{-0.0005}. We find the planetary radius to be 0.71 +/- 0.05
R_Jup, in accordance with previous theoretical models invoking a high metal
abundance for the planet. The limiting error is the uncertainty in the stellar
radius. Although we find agreement among four different ways of estimating the
stellar radius, the uncertainty remains at 7%. We also present a refined
transit ephemeris and a constraint on the orbital eccentricity and argument of
pericenter, e cos(omega) = -0.0014 +/- 0.0012, based on the measured interval
between primary and secondary transits.


title:
Visualization of Complex Observational and Theoretical Datasets in the
  Virtual Observatory

abstract:
  Our presentation is aimed at data centers providing access to complex
observational and theoretical data and to the users of these resources. We show
how to visualize complex datasets stored in the VO enabled data archives using
existing VO client software and PLASTIC, a prototype of an application
messaging protocol, for interaction between archive query results and tools. We
demonstrate how to display and explore observable IFU datasets, provided within
the ASPID-SR archive, using CDS Aladin, ESA VOSpec, and VO-Paris Euro3D Client.
In the second part of the paper we show how to use TOPCAT for displaying
results of N-body simulations of galaxy mergers available in the HORIZON GalMer
database.


title:
A Geometric Interpretation of Fading in Wireless Networks: Theory and
  Applications

abstract:
  In wireless networks with random node distribution, the underlying point
process model and the channel fading process are usually considered separately.
A unified framework is introduced that permits the geometric characterization
of fading by incorporating the fading process into the point process model.
Concretely, assuming nodes are distributed in a stationary Poisson point
process in $\R^d$, the properties of the point processes that describe the path
loss with fading are analyzed. The main applications are connectivity and
broadcasting.


title: The Physics of Deep-Inelastic Scattering at HERA

abstract:
  In this paper an introduction to the physics of deep-inelastic scattering is
given together with an account of some of the most recent results on the proton
structure obtained in electron-- and positron--proton collisions at the HERA
collider.


title: Middleware for Data Visualization in VO-enabled Data Archives

abstract:
  We present a middleware for visualization and exploration of complex datasets
in a VO framework, that performs interaction between data archives and existing
VO client applications using PLASTIC. It comprises: (1) PLASTIC-enabled Java
control applet, integrated into archive web-pages and interacting with VO
applications; (2) cross-browser compatible JavaScript part managing
PLASTIC-aware VO Clients (launch, data manipulation) by means of Java
LiveConnect. This (or similar) solution is an essential for the new generation
VO-enabled data archives providing access to complex observational and
theoretical datasets (3D-spectroscopy, N-body simulations, etc.) through
web-interface. Thanks to PLASTIC capabilities it is possible to start all
necessary client software with a single-click in the archive query result page
in a web-browser. This simplifies the scientific usage of the VO resources and
makes it easy even for users with no experience in the VO technologies.


title:
Growth of the Number of Spanning Trees of the Erd\"os-R\'enyi Giant
  Component

abstract:
  The number of spanning trees in the giant component of the random graph
$\G(n, c/n)$ ($c>1$) grows like $\exp\big\{m\big(f(c)+o(1)\big)\big\}$ as
$n\to\infty$, where $m$ is the number of vertices in the giant component. The
function $f$ is not known explicitly, but we show that it is strictly
increasing and infinitely differentiable. Moreover, we give an explicit lower
bound on $f'(c)$. A key lemma is the following. Let $\PGW(\lambda)$ denote a
Galton-Watson tree having Poisson offspring distribution with parameter
$\lambda$. Suppose that $\lambda^*>\lambda>1$. We show that $\PGW(\lambda^*)$
conditioned to survive forever stochastically dominates $\PGW(\lambda)$
conditioned to survive forever.


title: Strong-coupling of quantum dots in microcavities

abstract:
  We show that strong-coupling (SC) of light and matter as it is realized with
quantum dots (QDs) in microcavities differs substantially from the paradigm of
atoms in optical cavities. The type of pumping used in semiconductors yields
new criteria to achieve SC, with situations where the pump hinders, or on the
contrary, favours it. We analyze one of the seminal experimental observation of
SC of a QD in a pillar microcavity [Reithmaier et al., Nature (2004)] as an
illustration of our main statements.


title:
Dynamical Barrier for the Formation of Solitary Waves in Discrete
  Lattices

abstract:
  We consider the problem of the existence of a dynamical barrier of ``mass''
that needs to be excited on a lattice site to lead to the formation and
subsequent persistence of localized modes for a nonlinear Schrodinger lattice.
We contrast the existence of a dynamical barrier with its absence in the static
theory of localized modes in one spatial dimension. We suggest an energetic
criterion that provides a sufficient, but not necessary, condition on the
amplitude of a single-site initial condition required to form a solitary wave.
We show that this effect is not one-dimensional by considering its
two-dimensional analog. The existence of a sufficient condition for the
excitation of localized modes in the non-integrable, discrete, nonlinear
Schrodinger equation is compared to the dynamics of excitations in the
integrable, both discrete and continuum, version of the nonlinear Schrodinger
equation.


title:
Exact Dynamics of Multicomponent Bose-Einstein Condensates in Optical
  Lattices in One, Two and Three Dimensions

abstract:
  Numerous exact solutions to the nonlinear mean-field equations of motion are
constructed for multicomponent Bose-Einstein condensates on one, two, and three
dimensional optical lattices. We find both stationary and nonstationary
solutions, which are given in closed form. Among these solutions are a
vortex-anti-vortex array on the square optical lattice and modes in which two
or more components slosh back and forth between neighboring potential wells. We
obtain a variety of solutions for multicomponent condensates on the simple
cubic lattice, including a solution in which one condensate is at rest and the
other flows in a complex three-dimensional array of intersecting vortex lines.
A number of physically important solutions are stable for a range of parameter
values, as we show by direct numerical integration of the equations of motion.


title: Spherical Means in Odd Dimensions and EPD equations

abstract:
  The paper contains a simple proof of the Finch-Patch-Rakesh inversion formula
for the spherical mean Radon transform in odd dimensions. This transform arises
in thermoacoustic tomography. Applications are given to the Cauchy problem for
the Euler-Poisson-Darboux equation with initial data on the cylindrical
surface. The argument relies on the idea of analytic continuation and known
properties of Erdelyi-Kober fractional integrals.


title:
Production of $B_c$ or $\bar{B}_c$ meson and its excited states via
  $\bar{t}$-quark or $t$-quark decays

abstract:
  The production of $(b\bar{c})$-quarkonium ($\bar{B}_c$ meson and its excited
states) or $(c\bar{b})$-quarkonium ($B_c$ meson and its excited states) via top
quark $t$ or top anti-quark $\bar{t}$ decays, $t\to (b\bar{c})+c+W^+$ or
$\bar{t}\to (c\bar{b})+\bar{c}+W^-$, respectively is studied within the
framework of NRQCD. In addition to the production of the two color-singlet
$S$-wave states $|(b\bar{c})(^1S_0)_{\bf 1}>$ or $|(c\bar{b})(^1S_0)_{\bf 1}>$
and $|(b\bar{c})(^3S_1)_{\bf 1}>$ or $|(c\bar{b})(^3S_1)_{\bf 1}>$, the
production of the $P$-wave excited $(b\bar{c})$ or $(c\bar{b})$ states, i.e.
the four color-singlet $P$-wave states $|(b\bar{c})(^1P_1)_{\bf 1}>$ or
$|(c\bar{b})(^1P_1)_{\bf 1}>$, and $(b\bar{c})(^3P_J)_{\bf 1}>$ or
$(c\bar{b})(^3P_J)_{\bf 1}>$ (with $J=(1,2,3)$), is also studied. According to
the velocity scaling rule of NRQCD, for the production of $P$-wave excited
states the contributions from the two color-octet components
$|(b\bar{c})(^1S_0)_{\bf 8}>$ or $|(c\bar{b})(^1S_0)_{\bf 8}>$ and
$|(b\bar{c})(^3S_1)_{\bf 8}>$ or $|(c\bar{b})(^3S_1)_{\bf 8}>$ are also taken
into account. We quantitatively discuss the possibility and the advantages in
experimental studies of $B_c$ or $\bar{B}_c$ meson and its excited states via
the indirect production at LHC in high luminosity runs and at LHC possible
upgraded versions such as SLHC, DLHC, TLHC etc. in future.


title: Running Top quark mass in the presence of light SM Higgs

abstract:
  The running of the Top quark mass is considered in the nonperturbative
framework of the Schwinger-Dyson equation. Based on the input of physical pole
mass meassured at the Tevatron the method provides the resulting mass function
which is almost constant at low spacelike and timelike scales. The skeleton
loops including Standard Model Higgs and gluons are taken into account. The
dominant two-loop skeleton contribution with triplet Higgs interaction is
considered in addition to one loop dressed approximation of the top quark
self-energy.


title:
Intrinsic Spin Hall Effect Induced by Quantum Phase Transition in HgCdTe
  Quantum Wells

abstract:
  Spin Hall effect can be induced both by the extrinsic impurity scattering and
by the intrinsic spin-orbit coupling in the electronic structure. The HgTe/CdTe
quantum well has a quantum phase transition where the electronic structure
changes from normal to inverted. We show that the intrinsic spin Hall effect of
the conduction band vanishes on the normal side, while it is finite on the
inverted side. This difference gives a direct mechanism to experimentally
distinguish the intrinsic spin Hall effect from the extrinsic one.


title:
Invariant classification of the rotationally symmetric R-separable webs
  for the Laplace equation in Euclidean space

abstract:
  An invariant characterization of the rotationally symmetric R-separable webs
for the Laplace equation in Euclidean space is given in terms of invariants and
covariants of a real binary quartic canonically associated to the
characteristic conformal Killing tensor which defines the webs.


title:
Mid-Infrared Spectroscopy of Lensed Galaxies at 1<z<3: The Nature of
  Sources Near the MIPS Confusion Limit

abstract:
  We present Spitzer/IRS mid-infrared spectra for 15 gravitationally lensed, 24
micron--selected galaxies, and combine the results with 4 additional very faint
galaxies with IRS spectra in the literature. The median intrinsic 24 micron
flux density of the sample is 130 microJy, enabling a systematic survey of the
spectral properties of the very faint 24 micron sources that dominate the
number counts of Spitzer cosmological surveys. Six of the 19 galaxy spectra
(32%) show the strong mid-IR continuua expected of AGN; X-ray detections
confirm the presence of AGN in three of these cases, and reveal AGNs in two
other galaxies. These results suggest that nuclear accretion may contribute
more flux to faint 24 micron--selected samples than previously assumed. Almost
all the spectra show some aromatic (PAH) emission features; the measured
aromatic flux ratios do not show evolution from z=0. In particular, the high
S/N mid-IR spectrum of SMM J163554.2+661225 agrees remarkably well with
low--redshift, lower--luminosity templates. We compare the rest-frame 8 micron
and total infrared luminosities of star--forming galaxies, and find that the
behavior of this ratio with total IR luminosity has evolved modestly from z=2
to z=0. Since the high aromatic--to--continuum flux ratios in these galaxies
rule out a dominant contribution by AGN, this finding implies systematic
evolution in the structure and/or metallicity of infrared sources with
redshift. It also has implications for the estimates of star forming rates
inferred from 24 micron measurements, in the sense that at z ~2, a given
observed frame 24 micron luminosity corresponds to a lower bolometric
luminosity than would be inferred from low-redshift templates of similar
luminosity at the corresponding rest wavelength.


title: Shape of Heteroepitaxial Island Determined by Asymmetric Detachment

abstract:
  Square lattice gas models for heteroepitaxial growth are studied by means of
kinetic Monte Carlo simulations, in order to find a possible origin of
anisotropic island shape observed in growth experiments of long organic
molecules. When deposited molecules form clusters irreversibly at their
encounter during surface diffusion, islands grow in a ramified dendritic shape,
similar to DLA. Introduction of molecular detachment from edges makes islands
compact with smooth edges. Tilting of adsorbed long molecules or steps in a
vicinal substrate may induce orientation-dependence in the detachment rate of
edge molecules from an island. In simulations with orientation-dependent
detachment rates, a clear anisotropy in an island shape is observed. Shape
anisotropy on a vicinal substrate is enhanced as steps get dense, in agreement
to the experimental observation.


title:
Late Reheating of the IGM by Quasars: A Radiation Hydrodynamical
  Simulation of Helium II Reionization

abstract:
  We study the ionization and thermal evolution of the intergalactic medium
during the epoch of \heii reionization by means of radiation hydrodynamical
cosmological simulations. We post-process baryonic density fields from a
standard optically-thin IGM simulation with a homogeneous galaxy-dominated UV
background (UVB) which reionizes \hi and \hei at z=6.5 but does not have any
contribution to the ionization of \heii. Quasars with luminosities proportional
to the mass of the host halos are then introduced as point sources throughout
the 100 Mpc simulation volume consistent with the Pei luminosity function. We
evolve the spatial distribution of the \heii ionizing radiation field using a
time-implicit variable tensor Eddington factor radiative transfer scheme.
Simultaneously, we also solve for the local ionization of \heii to \heii and
the associated photoheating of the gas. We find that the percolation of the
\heiii regions is essentially complete by z=2.5. When comparing to a
self-consistent optically thin simulation we find that in optically thick
calculation the gas temperature is higher by a factor of approximately 1.7 at
the mean gas density level. We use 300 random lines of sight to compute at
$\bar{z} = 2.5 \pm 0.1$ a mean \heii \lya line transmission of $\bar{F} = 0.304
\pm 0.002$. We compare the broadening width of the \hi and \heii \lya lines to
the results from the self-consistent optically thin simulation and find a shift
by approximately 1.25 km/s of the b-parameter distribution. Estimating the
relative broadening width between the two forests shows that the \heii median
b-parameter is about 0.8 times the median \hi broadening width. This implies
that the \heii absorbers are physically extended consistent with conclusions
from observed lines of sight.


title: Dynamics with choice

abstract:
  Dynamics with choice is a generalization of discrete-time dynamics where
instead of the same evolution operator at every time step there is a choice of
operators to transform the current state of the system. This notion is new and
interesting from the mathematical point of view. At the same time, many real
life processes studied in chemical physics, engineering, biology and medicine,
from autocatalytic reaction systems to switched systems to cellular biochemical
processes to malaria transmission in urban environments, exhibit the properties
described by dynamics with choice. We study the long-term behavior in dynamics
with choice.


title: Loop groups and twisted K-theory I

abstract:
  This is the first in a series of papers investigating the relationship
between the twisted equivariant K-theory of a compact Lie group G and the
"Verlinde ring" of its loop group. In this paper we set up the foundations of
twisted equivariant K-groups, and more generally twisted K-theory of groupoids.
We establish enough basic properties to make effective computations. Using the
Mayer-Vietoris spectral sequence we compute the twisted equivariant K-groups of
a compact connected Lie group G with torsion free fundamental group. We relate
this computation to the representation theory of the loop group at a level
related to the twisting.


title: Electric dipole moments of actinide atoms and RaO molecule

abstract:
  We have calculated the atomic electric dipole moments (EDMs) induced in 229Pa
and 225Ac by their respective nuclear Schiff moments S. The results are
d(229Pa)= - 9.5 10^{-17} [S/(e fm)] e cm= - 1.1 10^{-20} \eta e cm; d(225Ac})=-
8.6 10^{-17} [S/(e fm)] e cm=- 0.8 10^{-21} \eta e cm. EDM of 229 Pa is 3 10^4
times larger than 199Hg EDM and 40 times larger than 225Ra EDM. Possible use of
actinides in solid state experiments is also discussed. The T,P-odd spin-axis
interaction in RaO molecule is 500 times larger than in TlF.


title:
Scaling functions applied to three-body recombination of Cesium-133
  atoms

abstract:
  We demonstrate the implications of Efimov physics in the recently measured
recombination rate of Cesium-133 atoms. By employing previously calculated
results for the energy dependence of the recombination rate of Helium-4 atoms,
we obtain three independent scaling functions that are capable of describing
the recombination rates over a large energy range for identical bosons with
large scattering length. We benchmark these and previously obtained scaling
functions by successfully comparing their predictions with full atom-dimer
phase shift calculations with artificial Helium-4 potentials yielding large
scattering lengths. Exploiting universality, we finally use these functions to
determine the 3-body recombination rate of Cesium-133 atoms with large positive
scattering length, compare our results to experimental data obtained by the
Innsbruck group and find excellent agreement.


title: Consistent Orientation of Moduli Spaces

abstract:
  We give an a priori construction of the two-dimensional reduction of
three-dimensional quantum Chern-Simons theory. This reduction is a
two-dimensional topological quantum field theory and so determines to a
Frobenius ring, which here is the twisted equivariant K-theory of a compact Lie
group. We construct the theory via correspondence diagrams of moduli spaces,
which we "linearize" using complex K-theory. A key point in the construction is
to consistently orient these moduli spaces to define pushforwards; the
consistent orientation induces twistings of complex K-theory. The
Madsen-Tillmann spectra play a crucial role.


title:
Photocathode-Uniformity Tests of the Hamamatsu R5912 Photomultiplier
  Tubes Used in the Milagro Experiment

abstract:
  The Milagro experiment observes the extensive air showers produced by very
high energy gamma-rays impacting the Earth's atmosphere. Milagro uses 898
Hamamatsu R5912 Photomultiplier Tubes. To complete our Monte Carlo simulations,
we tested the photocathode uniformity of our PMTs. The main finding was that
the PMT gain and detection efficiency are a function of the distance from the
center of the photocathode. Both quantities become considerably smaller as the
illumination position nears the edge of the photocathode.


title: Smooth parametrized torsion -- a manifold approach

abstract:
  We give a construction of a torsion invariant of bundles of smooth manifolds
which is based on the work of Dwyer, Weiss and Williams on smooth structures on
fibrations.


title:
The dark connection between the EGRET excess of diffuse Galactic gamma
  rays, the Canis Major dwarf, the Monoceros ring, the INTEGRAL 511 keV
  annihilation line, the gas flaring and the Galactic rotation curve

abstract:
  The EGRET excess of diffuse Galactic gamma rays shows all the key features of
dark matter annihilation (DMA) for a WIMP mass in the range 50-100 GeV,
especially the distribution of the excess is compatible with a standard halo
profile with some additional ringlike substructures at 4 and 13 kpc from the
Galactic centre. These substructures coincide with the gravitational potential
well expected from the ring of dust at 4 kpc and the tidal stream of dark
matter from the Canis Major satellite galaxy at 13 kpc, as deduced from N-body
simulations fitting to the Monoceros ring of stars. Strong independent support
for this substructure is given by the gas flaring in our Galaxy.
  The gamma rays from DMA are originating predominantly from the hadronization
of mono-energetic quarks, which should produce also a small, but known fraction
of protons and antiprotons. Bergstrom et al. an antiproton flux far above the
observed antiproton flux and they conclude that the DMA interpretation of the
EGRET excess can therefore be excluded. However, they used an isotropic
propagation model, i.e. the same diffusive propagation in the disk and the
halo. It is shown that an anisotropic propagation model is consistent with the
EGRET gamma ray excess, the antiproton flux and the ratios of secondary/primary
and unstable/stable cosmic ray particles. Such an anisotropic propagation is
supported by the large bulge/disk ratio of the positron annihilation line, as
observed by the INTEGRAL satellite. In this case no need for new sources
specific to the bulge are needed, so the claimed evidence for strong DMA in the
bulge from these observations is strongly propagation model dependent.


title:
A Local time correspondence for stochastic partial differential
  equations

abstract:
  It is frequently the case that a white-noise-driven parabolic and/or
hyperbolic stochastic partial differential equation (SPDE) can have
random-field solutions only in spatial dimension one. Here we show that in many
cases, where the ``spatial operator'' is the L^2-generator of a L\'evy process
X, a linear SPDE has a random-field solution if and only if the symmetrization
of X possesses local times. This result gives a probabilistic reason for the
lack of existence of random-field solutions in dimensions strictly bigger than
one. In addition, we prove that the solution to the SPDE is [H\"older]
continuous in its spatial variable if and only if the said local time is
[H\"older] continuous in its spatial variable. We also produce examples where
the random-field solution exists, but is almost surely unbounded in every open
subset of space-time. Our results are based on first establishing a
quasi-isometry between the linear L^2-space of the weak solutions of a family
of linear SPDEs, on one hand, and the Dirichlet space generated by the
symmetrization of X, on the other hand. We study mainly linear equations in
order to present the local-time correspondence at a modest technical level.
However, some of our work has consequences for nonlinear SPDEs as well. We
demonstrate this assertion by studying a family of parabolic SPDEs that have
additive nonlinearities. For those equations we prove that if the linearized
problem has a random-field solution, then so does the nonlinear SPDE. Moreover,
the solution to the linearized equation is [H\"older] continuous if and only if
the solution to the nonlinear equation is. And the solutions are bounded and
unbounded together as well. Finally, we prove that in the cases that the
solutions are unbounded, they almost surely blow up at exactly the same points.


title:
A random matrix decimation procedure relating $\beta = 2/(r+1)$ to
  $\beta = 2(r+1)$

abstract:
  Classical random matrix ensembles with orthogonal symmetry have the property
that the joint distribution of every second eigenvalue is equal to that of a
classical random matrix ensemble with symplectic symmetry. These results are
shown to be the case $r=1$ of a family of inter-relations between eigenvalue
probability density functions for generalizations of the classical random
matrix ensembles referred to as $\beta$-ensembles. The inter-relations give
that the joint distribution of every $(r+1)$-st eigenvalue in certain
$\beta$-ensembles with $\beta = 2/(r+1)$ is equal to that of another
$\beta$-ensemble with $\beta = 2(r+1)$. The proof requires generalizing a
conditional probability density function due to Dixon and Anderson.


title: Signum Function Method for Generation of Correlated Dichotomic Chains

abstract:
  We analyze the signum-generation method for creating random dichotomic
sequences with prescribed correlation properties. The method is based on a
binary mapping of the convolution of continuous random numbers with some
function originated from the Fourier transform of a binary correlator. The goal
of our study is to reveal conditions under which one can construct binary
sequences with a given pair correlator. Our results can be used in the
construction of superlattices and waveguides with selective transport
properties.


title:
Soft-gluon resummation for pseudoscalar Higgs boson production at hadron
  colliders

abstract:
  We compute the threshold-resummed cross section for pseudo-scalar MSSM Higgs
boson production by gluon fusion at hadron colliders. The calculation is
performed at next-to-next-to leading logarithmic accuracy. We present results
for both the LHC and Tevatron Run II. We analyze the factorization and
renormalization scale dependence of the results, finding that after performing
the resummation the corresponding cross section can be computed with an
accuracy better than 10%.


title: A proposal for a conditional definition of the Swap Gate

abstract:
  In order to realize quantum logical operations, Quantum Computation (QC)
requires that its basic tools and concepts obey the laws of physics. One of the
fundamental concepts in QC is the conditional quantum dynamics \cite{barenco},
some times called controlled-unitary operation \cite{kumar}, which is
established by the conditional "If-Then" sentence. The best know example is the
c-not gate, which operates on the computational basis as follows: \textit{If
the control qubit is set to $% |1>$, then apply the single qubit quantum NOT
gate on the target. Otherwise, if the control qubit is set to $|0>$, then the
target qubit is unchanged}. This gate represents the paradigm for the
conditional quantum dynamics, where the flipping of the target qubit is
conditioned to the state of the control qubit. Other gates have been defined in
a similar way of conditional evolution; for instance, the control phase gates
\cite{paulo1}. However, to the best of our knowledge, such conditional quantum
dynamics has not been yet used to define the SWAP gate. Here we propose a
possible conditional definition, in the form of If-Then sentence, to construct
a SWAP gate in the case of two qubits. This definition suggests a
classification in two classes, which depends upon the number of qubits that
have to undergo a conditional quantum dynamics.


title: The Residual Information Criterion, Corrected

abstract:
  Shi and Tsai (JRSSB, 2002) proposed an interesting residual information
criterion (RIC) for model selection in regression. Their RIC was motivated by
the principle of minimizing the Kullback-Leibler discrepancy between the
residual likelihoods of the true and candidate model. We show, however, under
this principle, RIC would always choose the full (saturated) model. The
residual likelihood therefore, is not appropriate as a discrepancy measure in
defining information criterion. We explain why it is so and provide a corrected
residual information criterion as a remedy.


title: Collider Phenomenology of Higgsless models

abstract:
  We study the LHC signatures of new gauge bosons in the minimal deconstruction
Higgsless model (MHLM). We analyze the $W'$ signals of $pp\to W' \to WZ$ and
$pp\to W'jj \to WZjj$ processes at the LHC, including the complete signal and
background calculation in the gauge invariant model and have demonstrated the
LHC potential to cover the whole parameter space of the MHLM model.


title: Simplified Self-Consistent Theory of Colloid Dynamics

abstract:
  One of the main elements of the self-consistent generalized Langevin equation
(SCGLE) theory of colloid dynamics [Phys. Rev. E {\bf 62}, 3382 (2000); ibid
{\bf 72}, 031107 (2005)] is the introduction of exact short-time moment
conditions in its formulation. The need to previously calculate these exact
short-time properties constitutes a practical barrier for its application. In
this note we report that a simplified version of this theory, in which this
short-time information is eliminated, leads to the same results in the
intermediate and long-time regimes. Deviations are only observed at short
times, and are not qualitatively or quantitatively important. This is
illustrated by comparing the two versions of the theory for representative
model systems.


title: Phenomenology of Light MSSM Higgs Boson Scenario

abstract:
  We have found that in the MSSM, the possibility for the lightest CP-even
Higgs boson to be lighter than $Z$ boson (as low as about 60 GeV) is, contrary
to the usual belief, not yet excluded by LEP2 Higgs search nor any direct
searches for supersymmetric particles at high energy colliders. The Light Higgs
boson scenario (LHS) is realised when the $ZZh$ coupling and the decay
branching ratio ${\rm Br}(h/A\to b\bar{b})$ are simultaneously suppressed as a
result of generic supersymmetric loop corrections. Consequently, the $W^\pm
H^\mp h$ coupling has to be large due to the sum rule of Higgs couplings to
weak gauge bosons and as we demonstrate, the associate neutral and charged
Higgs boson production process, $pp\to H^\pm h (A)$, at the LHC can completely
probe the LHS.


title:
Fabry-Perot interference, Kondo effect and Coulomb blockade in carbon
  nanotubes

abstract:
  High quality single wall carbon nanotube quantum dots have been made showing
both metallic and semiconducting behavior. Some of the devices are identified
as small band gap semiconducting nanotubes with relatively high broad
conductance oscillations for hole transport through the valence band and low
conductance Coulomb blockade oscillations for electron transport through the
conduction band. The transition between these regimes illustrates that
transport evolves from being wave-like transmission known as Fabry-Perot
interference to single particle-like tunneling of electrons or holes. In the
intermediate regime four Coulomb blockade peaks appear in each Fabry-Perot
resonance, which is interpreted as entering the SU(4) Kondo regime. A bias
shift of opposite polarity for the Kondo resonances for one electron and one
hole in a shell is in some cases observed.


title: Non-local dynamics of Bell states in separate cavities

abstract:
  We present non-local dynamics of Bell states in separate cavities. It is
demonstrated that (i) the entanglement damping speed will saturate when the
cavity leakage rate $\gamma\geq 0.4$; (ii) the synchronism relationship between
the fidelity and the concurrence depends on the initial state; (iii) if the
initial state is $1/\sqrt{2}(|01>+|10>)$, the dynamics of entropy is opposite
to that of fidelity.


title:
Energy Landscape, Anti-Plasticization and Polydispersity Induced
  Crossover of Heterogeneity in Supercooled Polydisperse Liquids

abstract:
  Polydispersity is found to have a significant effect on the potential energy
landscape; the the average inherent structure energy with temperature decreases
with polydispersity. Increasing polydispersity at fixed volume fraction
decreases the glass transition temperature and the fragility of glass formation
analogous to the antiplasticization seen in some polymeric melts. An
interesting temperature dependent crossover of heterogeneity with
polydispersity is observed at low temperature due to the faster build-up of
dynamic heterogeneity at lower polydispersity.


title: Phase structure of twisted Eguchi-Kawai model

abstract:
  Twisted Eguchi-Kawai model is a useful tool for studying the large-N gauge
theory. It can also provide a nonperturbative formulation of the gauge theory
on noncommutative spaces. Recently it was found that the Z_N^4 symmetry in this
model, which is crucial for the above applications, can break spontaneously in
the intermediate coupling region. In this article, we study the phase structure
of this model using the Monte-Carlo simulation. In particular, we elaborately
investigate the symmetry breaking point from the weak coupling side. The
simulation results show that we cannot take a continuum limit for this model.


title: Measurement of neutral pion pair production in two-photon collisions

abstract:
  The differential cross section of the process gamma gamma -> pi^0 pi^0 has
been measured in the kinematical range 0.6 GeV < W < 4.0 GeV and |cos
theta*|<0.8 in energy and pion scattering angle, respectively, in the gamma
gamma center-of-mass system. We find at least four resonant structures
including a peak from f_0(980). In addition, there is evidence for chi_{c0}
production. We also make a preliminary discussion of the angular dependence and
cross section ratio to gamma gamma -> pi^+ pi^-.


title: Recent studies of Charmonium Decays at CLEO

abstract:
  Recent results on Charmonium decays are reviewed which includes two-, three-
and four-body decays of $\chi_{cJ}$ states, observations of Y(4260) through
$\pi\pi J/\psi$ transitions, precise measurements of $M(D^0)$, $M(\eta)$ as
well as $\mathcal{B}(\eta\to X)$.


title: Duality of Anderson T-motives

abstract:
  Let $M$ be a T-motive. We introduce the notion of duality for $M$. Main
results of the paper (we consider uniformizable $M$ over $F_q[T]$ of rank $r$,
dimension $n$, whose nilpotent operator $N$ is 0):
  1. Algebraic duality implies analytic duality (Theorem 5). Explicitly, this
means that the lattice of the dual of $M$ is the dual of the lattice of $M$,
i.e. the transposed of a Siegel matrix of $M$ is a Siegel matrix of the dual of
$M$.
  2. Let $n=r-1$. There is a 1 -- 1 correspondence between pure T-motives (all
they are uniformizable), and lattices of rank $r$ in $C^n$ having dual
(Corollary 8.4).