title: Testing Cosmology with Cosmic Sound Waves

abstract:
  WMAP observations have accurately determined the position of the first two
peaks and dips in the CMB temperature power spectrum. These encode information
on the ratio of the distance to the last scattering surface to the sound
horizon at decoupling. However pre-recombination processes can contaminate this
distance information. In order to assess the amplitude of these effects we use
the WMAP data and evaluate the relative differences of the CMB peaks and dips
multipoles. We find that the position of the first peak is largely displaced
with the respect to the expected position of the sound horizon scale at
decoupling. In contrast the relative spacings of the higher extrema are
statistically consistent with those expected from perfect harmonic
oscillations. This provides evidence for a scale dependent phase shift of the
CMB oscillations which is caused by gravitational driving forces affecting the
propagation of sound waves before recombination. By accounting for these
effects we have performed a MCMC likelihood analysis to constrain in
combination with recent BAO data a constant dark energy equation w. For a flat
universe we find at 95% upper limit w<-1.10, and including the HST prior
w<-1.14, which are only marginally consistent with limits derived from the
supernova SNLS sample. Larger limits are obtained for non-flat cosmologies.
  From the full CMB likelihood analysis we also estimate the values of the
shift parameter R and the multipole l_a of the acoustic horizon at decoupling
for several cosmologies to test their dependence on model assumptions. Although
the analysis of the full CMB spectra should be always preferred, using the
position of the CMB peaks and dips provide a simple and consistent method for
combining CMB constraints with other datasets.


title: Examples of Coorbit Spaces for Dual Pairs

abstract:
  In this paper we summarize and give examples of a generalization of the
coorbit space theory initiated in the 1980's by H.G. Feichtinger and K.H.
Gr\"ochenig. Coorbit theory has been a powerful tool in characterizing Banach
spaces of distributions with the use of integrable representations of locally
compact groups. Examples are a wavelet characterization of the Besov spaces and
a characterization of some Bergman spaces by the discrete series representation
of $\mathrm{SL}_2(\mathbb{R})$. We present examples of Banach spaces which
could not be covered by the previous theory, and we also provide atomic
decompositions for an example related to a non-integrable representation.


title: Kondo Resonance in the Presence of Spin-Polarized Currents

abstract:
  We propose an improved method of the equation of motion approach to study the
Kondo problem in spin-dependent non-equilibrium conditions. We find that the
previously introduced additional renormalization for non-equilibrium Kondo
effects is not required when we use a proper decoupling scheme. Our improved
formulation is then applied to address the spin-split Kondo peaks when a spin
current injects into a Kondo system.


title:
A simple and efficient model for mesoscale solidification simulation of
  globular grain structures

abstract:
  A simple model for the solidification of globular grains in metallic alloys
is presented. Based on the Voronoi diagram of the nuclei centers, it accounts
for the curvature of the grains near triple junctions. The predictions of this
model are close to those of more refined approaches such as the phase field
method, but with a computation cost decreased by several orders of magnitude.
Therefore, this model is ideally suited for granular simulations linking the
behavior of individual grains to macroscopic properties of the material.


title: The Orbital Distribution of Satellite Galaxies

abstract:
  We measure the distribution of velocities for prograde and retrograde
satellite galaxies using a combination of published data and new observations
for 78 satellites of 63 extremely isolated disc galaxies (169 satellites
total). We find that the velocity distribution is non-Gaussian (>99.9%
confidence), but that it can be described as the sum of two Gaussians, one of
which is broad (sigma = 176 \pm 15 km/s), has a mean prograde velocity of 86
\pm 30 km/s, and contains ~55% of the satellites, while the other is slightly
retrograde with a mean velocity of -21 \pm 22 km/s and sigma = 74 \pm 18 km/s
and contains ~45% of the satellites. Both of these components are present over
all projected radii and found in the sample regardless of cuts on primary
inclination or satellite disc angle. The double-Gaussian shape, however,
becomes more pronounced among satellites of more luminous primaries. We remove
the potential dependence of satellite velocity on primary luminosity using the
Tully-Fisher relation and still find the velocity distribution to be asymmetric
and even more significantly non-Gaussian. The asymmetric velocity distribution
demonstrates a connection between the inner, visible disc galaxy and the
kinematics of the outer, dark halo. The reach of this connection, extending
even beyond the virial radii, suggests that it is imprinted by the satellite
infall pattern and large-scale effects, rather than by higher-level dynamical
processes in the formation of the central galaxy or late-term evolution of the
satellites.


title: Two universal extra dimensions and spinless photons at the ILC

abstract:
  We study the ILC phenomenology of (1,0) Kaluza-Klein (KK) modes along two
universal extra dimensions compactified on the chiral square. We compute
production cross sections of various (1,0) particles at the ILC with sqrt(s)=1
TeV, focusing on decays of KK-leptons and the KK partner of hypercharge gauge
boson down to the "spinless photon", which is the lightest KK particle. We
contrast this model to one universal extra dimension with KK-photon (spin-1)
and supersymmetry with neutralino (spin-1/2) or gravitino (spin-3/2) dark
matter. We also investigate the discovery potential for (1,1) KK bosons as
s-channel resonances.


title: Chaotic Geodesics

abstract:
  When a shallow layer of inviscid fluid flows over a substrate, the fluid
particle trajectories are, to leading order in the layer thickness, geodesics
on the two-dimensional curved space of the substrate. Since the two-dimensional
geodesic equation is a two degree-of-freedom autonomous Hamiltonian system, it
can exhibit chaos, depending on the shape of the substrate. We find chaotic
behaviour for a range of substrates.


title: Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures

abstract:
  The detection of primordial non-Gaussianity could provide a powerful means to
test various inflationary scenarios. Although scale-invariant non-Gaussianity
(often described by the $f_{NL}$ formalism) is currently best constrained by
the CMB, single-field models with changing sound speed can have strongly
scale-dependent non-Gaussianity. Such models could evade the CMB constraints
but still have important effects at scales responsible for the formation of
cosmological objects such as clusters and galaxies. We compute the effect of
scale-dependent primordial non-Gaussianity on cluster number counts as a
function of redshift, using a simple ansatz to model scale-dependent features.
We forecast constraints on these models achievable with forthcoming data sets.
We also examine consequences for the galaxy bispectrum. Our results are
relevant for the Dirac-Born-Infeld model of brane inflation, where the
scale-dependence of the non-Gaussianity is directly related to the geometry of
the extra dimensions.


title: An inequality for correlated measurable functions

abstract:
  A classical inequality, which is known for families of monotone functions, is
generalized to a larger class of families of measurable functions. Moreover we
characterize all the families of functions for which the equality holds. We
apply this result to a problem arising from probability theory.


title:
Mean field limit for bosons and infinite dimensional phase-space
  analysis

abstract:
  This article proposes the construction of Wigner measures in the infinite
dimensional bosonic quantum field theory, with applications to the derivation
of the mean field dynamics. Once these asymptotic objects are well defined, it
is shown how they can be used to make connections between different kinds of
results or to prove new ones.


title: The optical morphology of A3667 re-examined

abstract:
  The galaxy cluster A3667 was observed using the Two-degree Field (2dF)
multifibre spectroscopic system on the Anglo-Australian Telescope in a program
designed to examine the velocity structure in the region. Specifically, we
sought evidence from the optical data for the putative cluster merger believed
to be responsible for the observed radio and X-ray emission. We present 184 new
redshifts in the region, of which 143 correspond to member galaxies of A3667.
We find the cluster velocity distribution to be well modelled by a single
Gaussian in agreement with previous results. In addition, new redshift-selected
isodensity plots significantly reduce the prominence of the previously reported
subgroup to the north-west of the main cluster. Instead, we find the galaxy
distribution to be elongated and well mixed, with a high velocity dispersion
and no significant evidence for substructure. These results are consistent with
the axis of the proposed merger being close to the plane of the sky.


title: Swift BAT Survey of AGN

abstract:
  We present the results of the analysis of the first 9 months of data of the
Swift BAT survey of AGN in the 14-195 keV band. Using archival X-ray data or
follow-up Swift XRT observations, we have identified 129 (103 AGN) of 130
objects detected at |b|> 15 deg and with significance >4.8 sigma. One source
remains unidentified. These same X-ray data have allowed measurement of the
X-ray properties of the objects. We fit a power law to the log N - log S
distribution, and find the slope to be 1.42+/-0.14. Characterizing the
differential luminosity function data as a broken power law, we find a break
luminosity log L_*(erg/s) = 43.85+/-0.26, a low luminosity power law slope
a=0.84^{+0.16}_{-0.22}, and a high luminosity power law slope
b=2.55^{+0.43}_{-0.30}, similar to the values that have been reported based on
INTEGRAL data. We obtain a mean photon index 1.98 in the 14-195 keV band, with
an rms spread of 0.27. Integration of our luminosity function gives a local
volume density of AGN above 10^{41} erg/s of 2.4x10^{-3}/Mpc^3, which is about
10% of the total luminous local galaxy density above M_*=-19.75. We have
obtained X-ray spectra from the literature and from Swift XRT follow-up
observations. These show that the distribution of log n_H is essentially flat
from n_H=10^{20}/cm^{2} to 10^{24}/cm^2, with 50% of the objects having column
densities of less than 10^{22}/cm^{2}. BAT Seyfert galaxies have a median
redshift of 0.03, a maximum log luminosity of 45.1, and approximately half have
log n_H > 22.


title: Optical Counterpart of the Ultraluminous X-ray Source IC 342 X-1

abstract:
  We present Chandra and HST observations of the ultraluminous X-ray source
(ULX) IC 342 X-1. The Chandra and HST images are aligned using two X-ray
emitting foreground stars. The astrometry corrected position for X-1 is R.A. =
03h45m55.61s, Decl. = +68d04m55.3s (J2000) with an error circle of 0.2". One
extended optical source is found in the error circle, which could be the
optical counterpart of X-1. The source shows an extended feature in HST images
at long wavelengths, which is likely to be a superposition of two point
sources, although it is possible that the dimmer one could be a jet. Both
sources are much redder than typical for ULX optical counterparts. The brighter
one has an absolute magnitude M_V = -5.2 +/- 0.2 and (B-V)_0 = 0.66 +/- 0.13
and the dimmer star is not detected in B and has (B-V)_0 > 2.1. Their colors
are consistent with an F8 to G0 Ib supergiant or a carbon star, respectively.
However, it is likely that part or most of the optical emission may be due to
X-rays reprocessed by the companion star or the accretion disk. The stellar
neighborhood of IC 342 X-1 lacks O stars and has a minimum age of ~10 Myr. This
excludes the possibility that the surrounding nebula is powered by an energetic
explosion of a single massive star that formed a black hole. We suggest that
the nebula is most likely powered by an outflow from the X-ray source.


title: A Short Note on some open problems in the geometry of operator ideals

abstract:
  We list and discuss the background of some open problems, regarding the
principle of local reflexivity for maximal Banach ideals.


title: BRST Operator for Quantum Lie Algebras: Relation to Bar Complex

abstract:
  Quantum Lie algebras (an important class of quadratic algebras arising in the
Woronowicz calculus on quantum groups) are generalizations of Lie (super)
algebras. Many notions from the theory of Lie (super)algebras admit ``quantum''
generalizations. In particular, there is a BRST operator Q (Q^2=0) which
generates the differential in the Woronowicz theory and gives information about
(co)homologies of quantum Lie algebras. In our previous papers a recurrence
relation for the operator Q for quantum Lie algebras was given and solved. Here
we consider the bar complex for q-Lie algebras and its subcomplex of
q-antisymmetric chains. We establish a chain map (which is an isomorphism) of
the standard complex for a q-Lie algebra to the subcomplex of the antisymmetric
chains. The construction requires a set of nontrivial identities in the group
algebra of the braid group. We discuss also a generalization of the standard
complex to the case when a q-Lie algebra is equipped with a grading operator.


title:
A study of the breakdown of the quasi-static approximation at high
  densities and its effect on the helium-like K ALPHA complex of nickel, iron,
  and calcium

abstract:
  The General Spectral Modeling (GSM) code employs the quasi-static
approximation, a standard, low-density methodology that assumes the ionization
balance is separable from a determination of the excited-state populations that
give rise to the spectra. GSM also allows for some states to be treated only as
contributions to effective rates. While these two approximations are known to
be valid at low densities, this work investigates using such methods to model
high-density, non-LTE emission spectra and determines at what point the
approximations break down by comparing to spectra produced by the LANL code
ATOMIC which makes no such approximations. As both approximations are used by
other astrophysical and low-density modeling codes, the results should be of
broad interest. He-like K$\alpha$ emission spectra are presented for Ni, Fe,
and Ca, in order to gauge the effect of both approximations employed in GSM.
This work confirms that at and above the temperature of maximum abundance of
the He-like ionization stage, the range of validity for both approximations is
sufficient for modeling the low- and moderate-density regimes one typically
finds in astrophysical and magnetically confined fusion plasmas. However, a
breakdown does occur for high densities; we obtain quantitative limits that are
significantly higher than previous works. This work demonstrates that, while
the range of validity for both approximations is sufficient to predict the
density-dependent quenching of the z line, the approximations break down at
higher densities. Thus these approximations should be used with greater care
when modeling high-density plasmas such as those found in inertial confinement
fusion and electromagnetic pinch devices.


title:
External Periodic Driving of Large Systems of Globally Coupled Phase
  Oscillators

abstract:
  Large systems of coupled oscillators subjected to a periodic external drive
occur in many situations in physics and biology. Here the simple, paradigmatic
case of equal-strength, all-to-all sine-coupling of phase oscillators subject
to a sinusoidal external drive is considered. The stationary states and their
stability are determined. Using the stability information and numerical
experiments, parameter space phase diagrams showing when different types of
system behavior apply are constructed, and the bifurcations marking transitions
between different types of behavior are delineated. The analysis is supported
by results of direct numerical simulation of an ensemble of oscillators.


title: Monte Carlo simulations of muCF processes kinetics in deuterium gas

abstract:
  The muon-catalyzed-fusion processes in D$_2$ gas for various temperatures and
densities have been studied by means of Monte Carlo simulations. In particular,
the role of the resonant and nonresonant $dd\mu$ formation and differences
between the neutron time spectra from the ortho-D$_2$ and para-D$_2$ targets at
low temperatures have been investigated.


title: Electric field control of magnetic phase transitions in Ni3V2O8

abstract:
  We report on the electric field control of magnetic phase transition
temperatures in multiferroic Ni3V2O8 thin films. Using magnetization
measurements, we find that the phase transition temperature to the canted
antiferromagnetic state is suppressed by 0.2 K in an electric field of 30 MV/m,
as compared to the unbiased sample. Dielectric measurements show that the
transition temperature into the magnetic state associated with ferroelectric
order increases by 0.2 K when the sample is biased at 25 MV/m. This electric
field control of the magnetic transitions can be qualitatively understood using
a mean field model incorporating a tri-linear coupling between the magnetic
order parameters and spontaneous polarization.


title: Furnishing the Galaxy with Pulsars

abstract:
  The majority of pulsar population synthesis studies performed to date have
focused on isolated pulsar evolution. Those that have incorporated pulsar
evolution within binary systems have tended to either treat binary evolution
poorly of evolve the pulsar population in an ad-hoc manner. Here we present the
first model of the Galactic field pulsar population that includes a
comprehensive treatment of both binary and pulsar evolution. Synthetic
observational surveys mimicking a variety of radio telescopes are then
performed on this population. As such, a complete and direct comparison of
model data with observations of the pulsar population within the Galactic disk
is now possible. The tool used for completing this work is a code comprised of
three components: stellar/binary evolution, Galactic kinematics and survey
selection effects. Here we give a brief overview of the method and assumptions
involved with each component. Some preliminary results are also presented as
well as plans for future applications of the code.


title: The Plateau problem for marginally outer trapped surfaces

abstract:
  We solve the Plateau problem for marginally outer trapped surfaces in general
Cauchy data sets. We employ the Perron method and tools from geometric measure
theory to force and control a blow-up of Jang's equation. Substantial new
geometric insights regarding the lower order properties of marginally outer
trapped surfaces are gained in the process. The techniques developed in this
paper are flexible and can be adapted to other non-variational existence
problems.


title:
Review of overall parameters of giant radio pulses from the Crab pulsar
  and B1937+21

abstract:
  We present a review of observed parameters of giant radio pulses, based on
the observations conducted by our group during recent years. The observations
cover a broad frequency range of about 3 octaves, concentrating between 600 and
4850 MHz. Giant pulses of both the Crab pulsar and the millisecond pulsar
B1937+21 were studied with the 70-m Tidbinbilla, the 100-m GBT, 64-m Kalyazin
and Westerbork radio telescopes. We discuss pulse energy distribution,
dependence of peak flux density from the pulse width, peculiarities of radio
spectra, and polarization properties of giant radio pulses.


title: Numerical comparison of Riemann solvers for astrophysical hydrodynamics

abstract:
  The idea of this work is to compare a new positive and entropy stable
approximate Riemann solver by Francois Bouchut with a state-of the-art
algorithm for astrophysical fluid dynamics. We implemented the new Riemann
solver into an astrophysical PPM-code, the Prometheus code, and also made a
version with a different, more theoretically grounded higher order algorithm
than PPM. We present shock tube tests, two-dimensional instability tests and
forced turbulence simulations in three dimensions. We find subtle differences
between the codes in the shock tube tests, and in the statistics of the
turbulence simulations. The new Riemann solver increases the computational
speed without significant loss of accuracy.


title: Content Reuse and Interest Sharing in Tagging Communities

abstract:
  Tagging communities represent a subclass of a broader class of user-generated
content-sharing online communities. In such communities users introduce and tag
content for later use. Although recent studies advocate and attempt to harness
social knowledge in this context by exploiting collaboration among users,
little research has been done to quantify the current level of user
collaboration in these communities. This paper introduces two metrics to
quantify the level of collaboration: content reuse and shared interest. Using
these two metrics, this paper shows that the current level of collaboration in
CiteULike and Connotea is consistently low, which significantly limits the
potential of harnessing the social knowledge in communities. This study also
discusses implications of these findings in the context of recommendation and
reputation systems.


abstract:
  Exponentially localized solutions of the Klein-Gordon equation for two and
three space variables are presented. The solutions depend on four free
parameters. For some relations between the parameters, the solutions describe
wave packets filled with oscillations whose amplitudes decrease in the Gaussian
way with distance from a point running with group velocity along a straight
line. The solutions are constructed using exact complex solutions of the
eikonal equation and may be regarded as ray solutions with amplitudes involving
one term. It is also shown that the multidimensional nonlinear Klein-Gordon
equation can be reduced to an ordinary differential equation with respect to
the complex eikonal.


title: On Haagerup's list of potential principal graphs of subfactors

abstract:
  We show that any graph, in the sequence given by Haagerup in 1991 as that of
candidates of principal graphs of subfactors, is not realized as a principal
graph except for the smallest two. This settles the remaining case of a
previous work of the first author.


title:
Measurement of photons via conversion pairs in Au+Au collisions at
  sqrt(s_NN) = 200 GeV with the PHENIX experiment at RHIC

abstract:
  Thermal photons can provide information on the temperature of the new state
of matter created at RHIC. In the p_T region of 1--3 GeV/c thermal photons are
expected to be the dominant direct photon source. Therefore, a possible excess
compared to a pure decay photon signal due to a thermal photon contribution
should be seen in the double ratio
(gamma/gamma(pi^0))_{Measured}/(gamma/gamma(pi^0))_{Simulated}, if sufficient
accuracy can be reached. We present a method to reconstruct direct photons by
measuring e^+e^- pairs from external photon conversions.


title: Comments on Spontaneous Spin-Statistics Violation by Fermion Condensates

abstract:
  Scalar condensation, the well-established Higgs phenomenon, is the standard
paradigm for building up renormalizable gauge-invariant theories of massive
gauge bosons. In this short note, we demonstrate the uniqueness of the Higgs
vacuum state under the possible presence of fermion condensates in a
renormalizable U(1) model. In the same context, we explain why spontaneous
spin-statistics violation is technically not admitted in conventional Quantum
Field Theory.


title: \phi K^{+}K^{-} production in electron-positron annihilation

abstract:
  In this work we study the e^{+}e^{-}\to\phi K^{+}K^{-} reaction. The leading
order electromagnetic contributions to this process involve the \gamma*\phi\
K^{+}K^{-} vertex function with a highly virtual photon. We calculate this
function at low energies using R\chi PT supplemented with the anomalous term
for the VV'P interactions. Tree level contributions involve the kaon form
factors and the K*K transition form factors. We improve this result, valid for
low photon virtualities, replacing the lowest order terms in the kaon form
factors and K*K transition form factors by the form factors as obtained in
U\chi PT in the former case and the ones extracted from recent data on
e^{+}e^{-}\to KK* in the latter case. We calculate rescattering effects which
involve meson-meson amplitudes. The corresponding result is improved using the
unitarized meson-meson amplitudes containing the scalar poles instead of the
lowest order terms. Using the BABAR value for BR(X\to \phi f_{0})\Gamma (X\to
e^{+} e^{-}), we calculate the contribution from intermediate X(2175). A good
description of data is obtained in the case of destructive interference between
this contribution and the previous ones, but more accurate data on the
isovector K*K transition form factor is required in order to exclude
contributions from an intermediate isovector resonance to e^{+}e^{-}\to \phi\
K^{+}K^{-} around 2.2 GeV.


title: Sylow 0-unipotent subgroups in groups of finite Morley rank

abstract:
  One of the central tools in the classification of simple algebraic groups is
the distinction between semisimple subgroups and unipotent subgroups. It is not
a priori clear how to make this distinction for torsion-free subgroups of a
group of finite Morley rank. We exploit the ``graded'' notion of 0-unipotence
to develop a Sylow theory for torsion-free subgroups of a solvable group of
finite Morley rank. This Sylow theory provides a robust alternative to the
usual theory of Carter subgroups, and will be used in the analysis of
intersections of Borel subgroups in minimal simple groups.


title: Test of weak measurement on a two- or three-qubit computer

abstract:
  Current quantum computer technology is sufficient to realize weak
measurements and the corresponding concept of weak values. We demonstrate how
the weak value anomaly can be tested, along with consistency and simultaneity
of weak values, using only discrete degrees of freedom. All you need is a
quantum computer with two--or better, three--qubits. We also give an
interpretation of the weak value as an effective field strength in a
postselected spin measurement.


title:
Nonequilibrium effective vector potential due to pseudospin exchange in
  graphene

abstract:
  We show that exchange interactions in two-dimensional electron gases out of
equilibrium can generate a fictitious vector potential with intriguing
signatures in interference and Hall measurements. Detailed predictions are made
for graphene, where the effect is enhanced by pseudospin exchange.


title: Grid graphs, Gorenstein polytopes, and domino stackings

abstract:
  We examine domino tilings of rectangular boards, which are in natural
bijection with perfect matchings of grid graphs. This leads to the study of
their associated perfect matching polytopes, and we present some of their
properties, in particular, when these polytopes are Gorenstein. We also
introduce the notion of domino stackings and present some results and several
open questions. Our techniques use results from graph theory, polyhedral
geometry, and enumerative combinatorics.


title: The Bender method in groups of finite Morley rank

abstract:
  Jaligot's Lemma states that the Fitting subgroups of distinct Borel subgroups
do not intersect in a tame minimal simple groups of finite Morley. Such a
strong result appears hopeless without tameness. Here we use the 0-unipotence
theory to build a toolkit for the analysis of nonabelian intersections of Borel
subgroups. As a demonstration, we show that any connected nilpotent subgroup of
an intersection of Borel subgroups, in a nontame minimal simple group, must
actually be abelian.


title:
Anomalous Single Production of the Fourth Generation Neutrino at Future
  ep Colliders

abstract:
  Possible single productions of the fourth standard model generation neutrino
via anomalous interactions at the future ep colliders are studied. Signatures
of such anomalous processes and backgrounds are discussed in detail. Discovery
limits for neutrino mass and achievable values of anomalous coupling strength
are determined.


title: Skyrmion versus vortex flux lattices in p-wave superconductors

abstract:
  p-wave superconductors allow for topological defects known as skyrmions, in
addition to the usual vortices that are possible in both s-wave and p-wave
materials. In strongly type-II superconductors in a magnetic field, a skyrmion
flux lattice yields a lower free energy than the Abrikosov flux lattice of
vortices, and should thus be realized in p-wave superconductors. We
analytically calculate the energy per skyrmion, which agrees very well with
numerical results. From this, we obtain the magnetic induction B as a function
of the external magnetic field H, and the elastic constants of the skyrmion
lattice, near the lower critical field H_c1. Together with the Lindemann
criterion, these results suffice to predict the melting curve of the skyrmion
lattice. We find a striking difference in the melting curves of vortex lattices
and skyrmion lattices: while the former is separated at all temperatures from
the Meissner phase by a vortex liquid phase, the skyrmion lattice phase shares
a direct boundary with the Meissner phase. That is, skyrmions lattices never
melt near Hc1, while vortex lattices always melt sufficiently close to Hc1.
This allows for a very simple test for the existence of a skyrmion lattice.
Possible muSR experiments to detect skyrmion lattices are also discussed.


title: The Expressional Limits of Formal Languages in the Notion of Observation

abstract:
  In this article I deal with the notion of observation in the most fundamental
sense and its representation by means of formal languages serving as
expressional tools of formal-axiomatical theories. In doing so, I have taken
this notion in two diverse contexts. In the first as an epistemic notion that
refers to its interpretation in a formal mathematical environment and then to
its interpretation in a quantum mechanical environment. The second context in
which I tried to approach the notion of observation is that of a
phenomenological constitution basically as it is described in E. Husserl's
original works. Assuming that in phenomenological constitution mathematical
objects are special cases of perceptual objects including consequently objects
of a quantum mechanical measurement, the question is to inquire on the limits
of their description in the language of a formal-axiomatical theory. On one
hand, I derive an irreducibility on the level of observables as indecomposable
atoms without any further syntactical content in formal representation and on
the other a transcendence of a continuous substratum self-constituted as a kind
of impredicative synthetic unity on which to define an observational frame and
generate a predicative universe of discourse.


title:
Comparative Analysis of Transversities and Longitudinally Polarized
  Distributions of the Nucleon

abstract:
  We carry out a comparative analysis of the transversities and the
longitudinally polarized parton distribution functions in light of the first
empirical extraction of the transversity distributions recently done by
Anselmino et al. It is shown that the precise determination of the isoscalar
tensor charge, which is defined as the 1st moment of the isoscalar combination
of the transversity distributions, is of fundamental importance for clarifying
the internal spin structure function of the nucleon.


title:
Selective Synthesis Combined with Chemical Separation of Single-Walled
  Carbon Nanotubes for Chirality Selection

abstract:
  Single-walled carbon nanotubes (SWNTs) are potential materials for future
nanoelectronics. Since the electronic and optical properties of SWNTs strongly
depend on tube diameter and chirality, obtaining SWNTs with narrow (n,m)
chirality distribution by selective growth or chemical separation has been an
active area of research. Here, we demonstrate that a new, bimetallic FeRu
catalyst affords SWNT growth with narrow diameter and chirality distribution in
methane CVD. At 600C, methane CVD on FeRu catalyst produced predominantly (6,5)
SWNTs according to Uv-vis-NIR absorption and photoluminescence
excitation/emission (PLE) spectroscopic characterization. At 850C, the dominant
semiconducting species produced are (8,4), (7,6) and (7,5) SWNTs, with much
narrower distributions in diameter and chirality than materials grown by other
catalysts. Further, we show that narrow-diameter/chirality growth combined with
chemical separation by ion exchange chromatography (IEC) greatly facilitate
achieving single-(m,n) SWNT samples, as demonstrated by obtaining highly
enriched (8,4) SWNTs with near elimination of metallic SWNTs existing in the
as-grown material.


title: Broad iron K-alpha emission lines as a diagnostic of black hole spin

abstract:
  We address the ability of broad iron emission lines from black hole accretion
disks to diagnose the spin of the black hole. Using a high-resolution
3-dimensional MHD simulation of a geometrically-thin accretion disk in a
Pseudo-Newtonian potential, we show that both the midplane density and the
vertical column density of the accretion flow drop dramatically over a narrow
range of radii close to the innermost stable circular orbit (ISCO). We argue
that this drop of density is accompanied by a sharp increase in the ionization
parameter of the X-ray photosphere, and that the resulting imprint of the ISCO
on the X-ray reflection spectrum can be used to constrain spin. Motivated by
this simulation, we construct a simplified toy-model of the accretion flow
within the ISCO of a Kerr black hole, and use this model to estimate the
systematic error on inferred black hole spin that may result from slight
bleeding of the iron line emission to the region inside of the ISCO. We find
that these systematic errors can be significant for slowly spinning black holes
but become appreciably smaller as one considers more rapidly rotating black
holes.


title: Control of superluminal transit through a heterogeneous medium

abstract:
  We consider pulse propagation through a two component composite medium (metal
inclusions in a dielectric host) with or without cavity mirrors. We show that a
very thin slab of such a medium, under conditions of localized plasmon
resonance, can lead to significant superluminality with detectable levels of
transmitted pulse. A cavity containing the heterogeneous medium is shown to
lead to subluminal-to-superluminal transmission depending on the volume
fraction of the metal inclusions. The predictions of phase time calculations
are verified by explicit calculations of the transmitted pulse shapes. We also
demonstrate the independence of the phase time on system width and the volume
fraction under specific conditions.


title: Two Coefficients of the Dyson Product

abstract:
  In this paper, the closed-form expressions for the coefficients of
$\frac{x_r^2}{x_s^2}$ and $\frac{x_r^2}{x_sx_t}$ in the Dyson product are found
by applying an extension of Good's idea. As onsequences, we find several
interesting Dyson style constant term identities.


title: Scaled Asymptotics For Some $q$-Series As $q$ Approaching Unit

abstract:
  In this work we investigate Plancherel-Rotach type asymptotics for some
$q$-series as $q\to1$. These $q$-series generalize Ramanujan function
$A_{q}(z)$; Jackson's $q$-Bessel function $J_{\nu}^{(2)}$(z;q), Ismail-Masson
orthogonal polynomials($q^{-1}$-Hermite polynomials) $h_{n}(x|q)$,
Stieltjes-Wigert orthogonal polynomials $S_{n}(x;q)$, $q$-Laguerre orthogonal
polynomials $L_{n}^{(\alpha)}(x;q)$ and confluent basic hypergeometric series.


title: Electromagnetic couplings of elementary vector particles

abstract:
  On the basis of the three fundamental principles of (i) Poincar\'{e} symmetry
of space time, (ii) electromagnetic gauge symmetry, and (iii) unitarity, we
construct an universal Lagrangian for the electromagnetic interactions of
elementary vector particles, i.e., massive spin-1 particles transforming in the
/1/2,1/2) representation space of the Homogeneous Lorentz Group (HLG). We make
the point that the first two symmetries alone do not fix the electromagnetic
couplings uniquely but solely prescribe a general Lagrangian depending on two
free parameters, here denoted by \xi and g. The first one defines the
electric-dipole and the magnetic-quadrupole moments of the vector particle,
while the second determines its magnetic-dipole and electric-quadrupole
moments. In order to fix the parameters one needs an additional physical input
suited for the implementation of the third principle. As such, one chooses
Compton scattering off a vector target and requires the cross section to
respect the unitarity bounds in the high energy limit. In result, we obtain the
universal g=2, and \xi=0 values which completely characterize the
electromagnetic couplings of the considered elementary vector field at tree
level. The nature of this vector particle, Abelian versus non-Abelian, does not
affect this structure. Merely, a partition of the g=2 value into non-Abelian,
g_{na}, and Abelian, g_{a}=2-g_{na}, contributions occurs for non-Abelian
fields with the size of g_{na} being determined by the specific non-Abelian
group appearing in the theory of interest, be it the Standard Model or any
other theory.


title: Neutrino telescopes as a probe of active and sterile neutrino mixings

abstract:
  If the ultrahigh-energy (UHE) neutrino fluxes produced from a distant
astrophysical source can be measured at a km^3-size neutrino telescope, they
will provide a promising way to help determine the flavor mixing pattern of
three active neutrinos. Considering the conventional UHE neutrino source with
the flavor ratio \phi_e : \phi_\mu : \phi_\tau = 1 : 2 : 0, I show that
\phi^D_e : \phi^D_\mu : \phi^D_\tau = (1 -2 \Delta) : (1 +\Delta) : (1 +\Delta)
holds at the detector of a neutrino telescope, where \Delta characterizes the
effect of \mu-\tau symmetry breaking (i.e., \theta_13 \neq 0 and \theta_23 \neq
\pi/4). Current experimental data yield -0.1 \leq \Delta \leq +0.1. It is also
possible to probe \Delta by detecting the \bar{\nu}_e flux of E_\bar{\nu}_e
\approx 6.3 PeV via the Glashow resonance channel \bar{\nu}_e e \to W^- \to
anything. Finally, I give some brief comments on the possibility to constrain
the mixing between active and sterile neutrinos by using the UHE neutrino
telescopes.


title: Morphological Evolution of Outflows from YSOs

abstract:
  We present Spitzer IRAC images that indicate the presence of cavities cut
into the dense outer envelope surrounding very young pre-main sequence stars.
These young stellar objects (YSOs) characterized by an outflow represent the
earliest stages of star formation. Mid-infrared photons thermally created by
the central protostar/disk are scattered by dust particles within the outflow
cavity itself into the line of sight. We observed this scattered light from 27
nearby, cavity-resolved YSOs, and quantified the shape of the outflow cavities.
Using the grid models of Robitaille et al. (2006), we matched model spectral
energy distributions (SEDs) to the observed SEDs of the 27 cataloged YSOs using
photometry from IRAC, MIPS, and IRAS. This allows for the estimation of
geometric and physical properties such as inclination angle, cavity density,
and accretion rate. By using the relative parameter estimates determined by the
models, we are able to deduce an evolutionary picture for outflows. Our work
supports the concept that cavities widen with time, beginning as a thin
jet-like outflow that widens to reveal the central protostar and disk until the
protostellar envelope is completely dispersed by outflow and accretion.


title:
Minimal connected simple groups of finite Morley rank with strongly
  embedded subgroups

abstract:
  We show that a minimal nonalgebraic simple groups of finite Morley rank has
Prufer rank at most 2, and eliminates tameness from Cherlin and Jaligot's past
work on minimal simple groups. The argument given here begins with the strongly
embedded minimal simple configuration of Borovik, Burdges and Nesin. The
0-unipotence machinery of Burdges's thesis is used to analyze configurations
involving nonabelian intersections of Borel subgroups. The number theoretic
punchline of Cherlin and Jaligot has been replaced with a new genericity
argument.


title: Involutions in groups of finite Morley rank of degenerate type

abstract:
  This article proves a version of the Feit-Thompson theorem for simple groups
of finite Morley rank: a connected groups of finite Morley rank with a finite
Sylow 2-subgroup has a trivial Sylow 2-subgroups.


title: Uniqueness cases in odd type groups of finite Morley rank

abstract:
  Here we analyze a proper 2-generated core in a minimal counter example to the
Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank.
We ultimately show that such a group is strongly embedded and the ambiant group
is minimal connected simple.


title: Role of Activity in Human Dynamics

abstract:
  The human society is a very complex system; still, there are several
non-trivial, general features. One type of them is the presence of power-law
distributed quantities in temporal statistics. In this Letter, we focus on the
origin of power-laws in rating of movies. We present a systematic empirical
exploration of the time between two consecutive ratings of movies (the
interevent time). At an aggregate level, we find a monotonous relation between
the activity of individuals and the power-law exponent of the interevent-time
distribution. At an individual level, we observe a heavy-tailed distribution
for each user, as well as a negative correlation between the activity and the
width of the distribution. We support these findings by a similar data set from
mobile phone text-message communication. Our results demonstrate a significant
role of the activity of individuals on the society-level patterns of human
behavior. We believe this is a common character in the interest-driven human
dynamics, corresponding to (but different from) the universality classes of
task-driven dynamics.


title: A New Trichotomy Theorem

abstract:
  We show that a minimal counter example to the Cherlin-Zilber Algebraicity
Conjecture for simple groups of finite Morley rank has normal 2-rank at most
two, which is a tameness free version of Borovik's original trichotomy theorem.
This result serves as a bridge by showing that there are no groups found
strictly between the generic and quasithin cases, i.e. between groups of Lie
rank at least three, and groups of Lie rank one and two. Again this result
depends upon previous work for the uniqueness case analysis.


title: Nonequilibrium interacting electrons in a ferromagnet

abstract:
  Dynamics of the magnetization in ferromagnets is examined in the presence of
transport electrons allowing the latter to interact. It is found that the
existence of inhomogeneities such as domain wall (DW) structures, leads to
changes that affect the dynamical structure of the equations of motion for the
magnetization. Only in the limit of uniform magnetizations or sufficiently wide
DW's, the equations of motion maintain the form they have in the noninteracting
case. In this limit, results like the spin torques, the Gilbert parameter, and
the DW velocities become renormalized. However the length scale that defines
such a limit depends on the strength of the interaction. It is shown that if
large ferromagnetic fluctuations exist in the metallic band then the range for
which conformity with the noninteracting case holds extends to the limit of
arbitrarily narrow DW's.


title: Chandra observations of the pulsar PSR B1929+10 and its environment

abstract:
  We report on two Chandra observations of the 3-Myr pulsar B1929+10, which
reveal a faint compact (~9"x5") nebula elongated in the direction perpendicular
to the pulsar's proper motion, two patchy wings, and a possible short (~3") jet
emerging from the pulsar. In addition, we detect a tail extending up to at
least 4' in the direction opposite to the pulsar's proper motion, aligned with
the 15'-long tail detected in ROSAT and XMM-Newton observations. The overall
morphology of the nebula suggests that the shocked pulsar wind is confined by
the ram pressure due to the pulsar's supersonic speed. The shape of the compact
nebula in the immediate vicinity of the pulsar seems to be consistent with the
current MHD models. However, since these models do not account yet for the
change of the flow velocity at larger distances from the pulsar, they are not
able to constrain the extent of the long pulsar tail. The luminosity of the
whole nebula as seen by Chandra is ~10^30 ergs/s in the 0.3-8 keV band, for the
distance of 361 pc. Using the Chandra and XMM-Newton data, we found that the
pulsar spectrum is comprised of non-thermal (magnetospheric) and thermal
components. The non-thermal component can be described by a power-law model
with photon index ~1.7 and luminosity 1.7x10^30 ergs/s in the 0.3-10 keV band.
The blackbody fit for the thermal component, which presumably emerges from hot
polar caps, gives the temperature kT~0.3 keV and projected emitting area 3x10^3
m^2, corresponding to the bolometric luminosity ~(1-2)x10^30 ergs/s.


title: Broadband optical delay with large dynamic range using atomic dispersion

abstract:
  We report on a tunable all-optical delay line for pulses with optical
frequency within the Rb $D_2$ absorption line. Using frequency tuning between
absorption components from different isotopes, pulses of 10 ns duration are
delayed in a 10 cm hot vapour cell by up to 40 ns while the transmission
remains above 10%. The use of two isotopes allows the delay to be increased or
decreased by optical pumping with a second laser, producing rapid tuning over a
range of more than 40% of the initial delay at 110$^{\circ}$C. We investigate
the frequency and intensity ranges in which this delay line can be realised.
Our observations are in good agreement with a numerical model of the system.


title: Non-thermal emission from old supernova remnants

abstract:
  We study the non-thermal emission from old shell-type supernova remnants
(SNRs) on the frame of a time-dependent model. In this model, the
time-dependent non-thermal spectra of both primary electrons and protons as
well as secondary electron/positron ($e^{\pm}$) pairs can be calculated
numerically by taking into account the evolution of the secondary $e^{\pm}$
pairs produced from proton-proton (p-p) interactions due to the accelerated
protons collide with the ambient matter in an SNR. The multi-wavelength photon
spectrum for a given SNR can be produced through leptonic processes such as
electron/positron synchrotron radiation, bremsstrahlung and inverse Compton
scattering as well as hadronic interaction. Our results indicate that the
non-thermal emission of the secondary $e^{\pm}$ pairs is becoming more and more
prominent when the SNR ages in the radiative phase because the source of the
primary electrons has been cut off and the electron synchrotron energy loss is
significant for a radiative SNR, whereas the secondary $e^{\pm}$ pairs can be
produced continuously for a long time in the phase due to the large energy loss
time for the p-p interaction. We apply the model to two old SNRs, G8.7$-$0.1
and G23.3$-$0.3, and the predicted results can explain the observed
multi-wavelength photon spectra for the two sources.


title: High Field Performance of Nano-Diamond Doped MgB2 Superconductor

abstract:
  Polycrystalline MgB2-nDx (x= 0 to 0.1) samples are synthesized by solid-state
route with ingredients of Mg, B and n-Diamond. The results from
magneto-transport and magnetization of nano-diamond doped MgB2-nDx are
reported. Superconducting transition temperature (Tc) is not affected
significantly by x up to x = 0.05 and latter decreases slightly for higher x >
0.05. R(T) vs H measurements show higher Tc values under same applied magnetic
fields for the nano-diamond added samples, resulting in higher estimated Hc2
values. From the magnetization measurements it was found that irreversibility
field value Hirr for the pristine sample is 7.5 Tesla at 4 K and the same is
increased to 13.5 Tesla for 3-wt% nD added sample at the same temperature. The
Jc(H) plots at all temperatures show that Jc value is lowest at all applied
fields for pristine MgB2 and the sample doped with 3-wt% nD gives the best Jc
values at all fields. For the pure sample the value of Jc is of the order of
105 A/cm2 at lower fields but it decreases very fast as the magnetic field is
applied and becomes negligible above 7 Tesla. The Jc is 40 times higher than
pure MgB2 at 10 K at 6 Tesla field in case of 3%nD doped sample and its value
is still of the order of 103 A/cm2 at 10 Tesla for the same sample. On the
other hand at 20K the 5%nD sample shows the best performance at higher fields.
These results are discussed in terms of extrinsic pinning due to dispersed
n-Diamond in the host MgB2 matrix along with the intrinsic pinning due to
possible substitution of C at Boron site and increased inter-band scattering
for highly doped samples resulting in extraordinary performance of the doped
system.


title: Graph Entropy, Network Coding and Guessing games

abstract:
  We introduce the (private) entropy of a directed graph (in a new network
coding sense) as well as a number of related concepts. We show that the entropy
of a directed graph is identical to its guessing number and can be bounded from
below with the number of vertices minus the size of the graph's shortest index
code. We show that the Network Coding solvability of each specific multiple
unicast network is completely determined by the entropy (as well as by the
shortest index code) of the directed graph that occur by identifying each
source node with each corresponding target node.
  Shannon's information inequalities can be used to calculate upper bounds on a
graph's entropy as well as calculating the size of the minimal index code.
Recently, a number of new families of so-called non-shannon-type information
inequalities have been discovered. It has been shown that there exist
communication networks with a capacity strictly less than required for
solvability, but where this fact cannot be derived using Shannon's classical
information inequalities. Based on this result we show that there exist graphs
with an entropy that cannot be calculated using only Shannon's classical
information inequalities, and show that better estimate can be obtained by use
of certain non-shannon-type information inequalities.


title:
A unified approach to the derivation of work theorems for equilibrium
  and steady-state, classical and quantum Hamiltonian systems

abstract:
  We present a unified and simple method for deriving work theorems for
classical and quantum Hamiltonian systems, both under equilibrium conditions
and in a steady state. Throughout the paper, we adopt the partitioning of the
total Hamiltonian into the system part, the bath part, and their coupling. We
rederive many equalities which are available in the literature and obtain a
number of new equalities for nonequilibrium classical and quantum systems. Our
results can be useful for determining partition functions and (generalized)
free energies through simulations and/or measurements performed on
nonequilibrium systems.


title:
Generation of polarization entanglement from spatially-correlated
  photons in spontaneous parametric down-conversion

abstract:
  We propose a novel scheme to generate polarization entanglement from
spatially-correlated photon pairs. We experimentally realized a scheme by means
of a spatial correlation effect in a spontaneous parametric down-conversion and
a modified Michelson interferometer. The scheme we propose in this paper can be
interpreted as a conversion process from spatial correlation to polarization
entanglement.


title:
Computational modeling of beam-customization devices for
  heavy-charged-particle radiotherapy

abstract:
  A model for beam customization with collimators and a range-compensating
filter based on the phase-space theory for beam transport is presented for dose
distribution calculation in treatment planning of radiotherapy with protons and
heavier ions. Independent handling of pencil beams in conventional pencil-beam
algorithms causes unphysical collimator-height dependence in the middle of
large fields, which is resolved by the framework comprised of generation,
transport, collimation, regeneration, range-compensation, and edge-sharpening
processes with a matrix of pencil beams. The model was verified to be
consistent with measurement and analytic estimation at a submillimeter level in
penumbra of individual collimators with a combinational-collimated carbon-ion
beam. The model computation is fast, accurate, and readily applicable to
pencil-beam algorithms in treatment planning with capability of combinational
collimation to make best use of the beam-customization devices.


title: On Distributed Averaging Algorithms and Quantization Effects

abstract:
  We consider distributed iterative algorithms for the averaging problem over
time-varying topologies. Our focus is on the convergence time of such
algorithms when complete (unquantized) information is available, and on the
degradation of performance when only quantized information is available. We
study a large and natural class of averaging algorithms, which includes the
vast majority of algorithms proposed to date, and provide tight polynomial
bounds on their convergence time. We also describe an algorithm within this
class whose convergence time is the best among currently available averaging
algorithms for time-varying topologies. We then propose and analyze distributed
averaging algorithms under the additional constraint that agents can only store
and communicate quantized information, so that they can only converge to the
average of the initial values of the agents within some error. We establish
bounds on the error and tight bounds on the convergence time, as a function of
the number of quantization levels.


title: Finsleroid-regular space developed. Berwald case

abstract:
  The Finsleroid--Finsler space becomes regular when the norm $||b||=c$ of the
input 1-form $b$ is taken to be an arbitrary positive scalar $c(x) < 1$. By
performing required direct evaluations, the respective spray coefficients have
been obtained in a simple and transparent form. The adequate continuation into
the regular pseudo-Finsleroid domain has been indicated. The Finsleroid-regular
Berwald space is found under the assumptions that the Finsleroid charge is a
constant and the 1-form $b$ is parallel.
  Keywords: Finsler metrics, spray coefficients, curvature tensors.


title: The Cosmic Horizon

abstract:
  The cosmological principle, promoting the view that the universe is
homogeneous and isotropic, is embodied within the mathematical structure of the
Robertson-Walker (RW) metric. The equations derived from an application of this
metric to the Einstein Field Equations describe the expansion of the universe
in terms of comoving coordinates, from which physical distances may be derived
using a time-dependent expansion factor. These coordinates, however, do not
explicitly reveal properties of the cosmic spacetime manifested in Birkhoff's
theorem and its corollary. In this paper, we compare two forms of the
metric--written in (the traditional) comoving coordinates, and a set of
observer-dependent coordinates--first for the well-known de Sitter universe
containing only dark energy, and then for a newly derived form of the RW
metric, for a universe with dark energy and matter. We show that Rindler's
event horizon--evident in the co-moving system--coincides with what one might
call the "curvature horizon" appearing in the observer-dependent frame. The
advantage of this dual prescription of the cosmic spacetime is that with the
latest WMAP results, we now have a much better determination of the universe's
mass-energy content, which permits us to calculate this curvature with
unprecedented accuracy. We use it here to demonstrate that our observations
have probed the limit beyond which the cosmic curvature prevents any signal
from having ever reached us. In the case of de Sitter, where the mass-energy
density is a constant, this limit is fixed for all time. For a universe with a
changing density, this horizon expands until de Sitter is reached
asymptotically, and then it too ceases to change.

categories: astro-ph gr-qc hep-ph hep-th math-ph math.MP


title: Suzaku Observation of the Anomalous X-ray Pulsar CXOU J164710.2--455216

abstract:
  Suzaku TOO observation of the anomalous X-ray pulsar CXOU J164710.2-455216
was performed on 2006 September 23--24 for a net exposure of 38.8 ks. During
the observation, the XIS was operated in 1/8 window option to achieve a time
resolution of 1 s. Pulsations are clearly detected in the XIS light curves with
a barycenter corrected pulse period of 10.61063(2) s. The XIS pulse profile
shows 3 peaks of different amplitudes with RMS fractional amplitude of ~11% in
0.2--6.0 keV energy band. Though the source was observed with the HXD of
Suzaku, the data is highly contaminated by the nearby bright X-ray source GX
340+0 which was in the HXD field of view. The 1-10 keV XIS spectra are well
fitted by two blackbody components. The temperatures of two blackbody
components are found to be 0.61+/-0.01 keV and 1.22+/-0.06 keV and the value of
the absorption column density is 1.73+/-0.03 x 10^{22} atoms cm^{-2}. The
observed source flux in 1-10 keV energy range is calculated to be 2.6 x
10^{-11} ergs cm^{-2} s^{-1} with significant contribution from the soft
blackbody component (kT = 0.61 keV). Pulse phase resolved spectroscopy of XIS
data shows that the flux of the soft blackbody component consists of three
narrow peaks, whereas the flux of the other component shows a single peak over
the pulse period of the AXP. The blackbody radii changes between 2.2-2.7 km and
0.28-0.38 km (assuming the source distance to be 5 kpc) over pulse phases for
the soft and hard components, respectively. The details of the results obtained
from the timing and spectral analysis is presented.


title:
Existence and Stability of Steady-State Solutions with Finite Energy for
  the Navier-Stokes equation in the Whole Space

abstract:
  We consider the steady-state Navier-Stokes equation in the whole space
$\mathbb{R}^3$ driven by a forcing function $f$. The class of source functions
$f$ under consideration yield the existence of at least one solution with
finite Dirichlet integral ($\|\nabla U\|_2<\infty$). Under the additional
assumptions that $f$ is absent of low modes and the ratio of $f$ to viscosity
is sufficiently small in a natural norm we construct solutions which have
finite energy (finite $L^2$ norm). These solutions are unique among all
solutions with finite energy and finite Dirichlet integral. The constructed
solutions are also shown to be stable in the following sense: If $U$ is such a
solution then any viscous, incompressible flow in the whole space, driven by
$f$ and starting with finite energy, will return to $U$.


title: Superradiance and Instability of Black Holes

abstract:
  We discuss the relation between the superradiance phenomenon and the
instability of rotating black holes in higher dimensions. In particular, we
point out that the superradiant instability of a massless scalar field around a
simply rotating Kerr-adS black hole implies the gravitational instability of
that black hole for tensor-type perturbations.


title: Kirillov--Schilling--Shimozono bijection as energy functions of crystals

abstract:
  The Kirillov--Schilling--Shimozono (KSS) bijection appearing in theory of the
Fermionic formula gives an one to one correspondence between the set of
elements of tensor products of the Kirillov--Reshetikhin crystals (called
paths) and the set of rigged configurations. It is a generalization of
Kerov--Kirillov--Reshetikhin bijection and plays inverse scattering formalism
for the box-ball systems. In this paper, we give an algebraic reformulation of
the KSS map from the paths to rigged configurations, using the combinatorial R
and energy functions of crystals. It gives a characterization of the KSS
bijection as an intrinsic property of tensor products of crystals.


title:
Generating an entangled coherent state of two cavity modes in a
  three-level \Lambda - type atomic system

abstract:
  In this paper, we present a scheme to generate an entangled coherent state by
considering a three-level \Lambda - type atom interacting with a two-mode
cavity driven by classical fields. The two-mode entangled coherent state can be
obtained under large detuning conditions. Considering the cavity decay, an
analytical solution is deduced.


title: Floer trajectories with immersed nodes and scale-dependent gluing

abstract:
  We define an enhanced compactification of Floer trajectories under Morse
background using the adiabatic degeneration and the scale-dependent gluing
techniques. The compactification reflects the 1-jet datum of the smooth Floer
trajectories nearby the limiting nodal Floer trajectories arising from
adiabatic degeneration of the background Morse function. This paper studies the
gluing problem when the limiting gradient trajectories has length zero through
a renomalization process. The case with limiting gradient trajectories of
non-zero length will be treated elsewhere.
  An immediate application of our result is a proof of the isomorphism property
of the PSS map : A proof of this isomorphism property was first outlined by
P\"unihikin-Salamon-Schwarz \cite{PSS} in a way somewhat different from the
current proof in its details. This kind of scale-dependent gluing techniques
was initiated in [FOOO07] in relation to the metamorphosis of holomorphic
polygons under Lagrangian surgery and is expected to appear in other gluing and
compactification problem of pseudo-holomorphic curves that involves `adiabatic'
parameters or rescales the targets.


title:
Emergent Universe in Brane World Scenario with Schwarzschild-de Sitter
  Bulk

abstract:
  A model of an emergent universe is obtained in brane world. Here the bulk
energy is in the form of cosmological constant, while the brane consists of a
fluid satisfying an equation of state of the form $p_{b}={1/3} \rho_{b}$, which
is effectively a radiation equation of state at high energies. It is shown that
with the positive bulk cosmological constant, one of our models represents an
emergent universe.


title:
A variant transfer matrix method suitable for transport through
  multi-probe systems

abstract:
  We have developed a variant transfer matrix method that is suitable for
transport through multi-probe systems. Using this method, we have numerically
studied the quantum spin Hall effect (QSHE) on 2D graphene with both intrinsic
(Vso) and Rashba (Vr) spin-orbit (SO) couplings. The integer QSHE arises in the
presence of intrinsic SO interaction and is gradually destroyed by the Rashba
SO interaction and disorder fluctuation. We have numerically determined the
phase boundaries separating integer QSHE and spin Hall liquid. We have found
that when Vso> 0.2t with t the hopping constant the energy gap needed for the
integer QSHE is the largest satisfying |E|<t. For smaller Vso the energy gap
decreases linearly. In the presence of Rashba SO interaction or disorders, the
energy gap diminishes. With Rashba SO interaction the integer QSHE is robust at
the largest energy within the energy gap while at the smallest energy within
the energy gap the integer QSHE is insensitive to the disorder.


title: On dispersion for Klein Gordon equation with periodic potential in 1D

abstract:
  By exploiting estimates on Bloch functions obtained in a previous paper, we
prove decay estimates for Klein Gordon equations with a time independent
potential periodic in space in 1D and with generic mass


title: Notes on the Hamiltonian formulation of 3D Yang-Mills theory

abstract:
  Three-dimensional Yang-Mills theory is investigated in the Hamiltonian
formalism based on the Karabali-Nair variable. A new algorithm is developed to
obtain the renormalized Hamiltonian by identifying local counterterms in
Lagrangian with the use of fictitious holomorphic symmetry existing in the
framework with the KN variable. Our algorithm is totally algebraic and enables
one to calculate the ground state wave functional recursively in gauge
potentials. In particular, the Gaussian part thus calculated is shown to
coincide with that obtained by Leigh et al. Higher-order corrections to the
Gaussian part are also discussed.


title:
A revision of "On asymptotic stability in energy space of ground states
  of NLS in 1D"

abstract:
  We transpose work by T.Mizumachi to prove smoothing estimates for dispersive
solutions of the linearization at a ground state of a Nonlinear Schr\"odinger
equation (NLS) in 1D. As an application we extend to dimension 1D a result on
asymptotic stability of ground states of NLS proved by Cuccagna & Mizumachi for
dimensions $\ge 3$


title: Object Picture of Quasinormal Modes for Stringy Black Holes

abstract:
  We study the quasinormal modes (QNMs) for stringy black holes. By using
numerical calculation, the relations between the QNMs and the parameters of
black holes are minutely shown. For (1+1)-dimensional stringy black hole, the
real part of the quasinormal frequency increases and the imaginary part of the
quasinormal frequency decreases as the mass of the black hole increases.
Furthermore, the dependence of the QNMs on the charge of the black hole and the
flatness parameter is also illustrated. For (1+3)-dimensional stringy black
hole, increasing either the event horizon or the multipole index, the real part
of the quasinormal frequency decreases. The imaginary part of the quasinormal
frequency increases no matter whether the event horizon is increased or the
multipole index is decreased.


title: The Palomar Testbed Interferometer Calibrator Catalog

abstract:
  The Palomar Testbed Interferometer (PTI) archive of observations between 1998
and 2005 is examined for objects appropriate for calibration of optical
long-baseline interferometer observations - stars that are predictably
point-like and single. Approximately 1,400 nights of data on 1,800 objects were
examined for this investigation. We compare those observations to an
intensively studied object that is a suitable calibrator, HD217014, and
statistically compare each candidate calibrator to that object by computing
both a Mahalanobis distance and a Principal Component Analysis. Our hypothesis
is that the frequency distribution of visibility data associated with
calibrator stars differs from non-calibrator stars such as binary stars.
Spectroscopic binaries resolved by PTI, objects known to be unsuitable for
calibrator use, are similarly tested to establish detection limits of this
approach. From this investigation, we find more than 350 observed stars
suitable for use as calibrators (with an additional $\approx 140$ being
rejected), corresponding to $\gtrsim 95%$ sky coverage for PTI. This approach
is noteworthy in that it rigorously establishes calibration sources through a
traceable, empirical methodology, leveraging the predictions of spectral energy
distribution modeling but also verifying it with the rich body of PTI's on-sky
observations.


title:
On asymptotic stability in energy space of ground states for Nonlinear
  Schr\"odinger equations

abstract:
  We consider nonlinear Schr\"odinger equations in dimension 3 or higher. We
prove that symmetric finite energy solutions close to orbitally stable ground
states converge asymptotically to a sum of a ground state and a dispersive wave
assuming the so called Fermi Golden Rule (FGR) hypothesis. We improve the sign
condition required in a recent paper by Gang Zhou and I.M.Sigal


title:
Determining the motion of the solar system relative to the cosmic
  microwave background using type Ia supernovae

abstract:
  We estimate the solar system motion relative to the cosmic microwave
background using type Ia supernovae (SNe) measurements. We take into account
the correlations in the error bars of the SNe measurements arising from
correlated peculiar velocities. Without accounting for correlations in the
peculiar velocities, the SNe data we use appear to detect the peculiar velocity
of the solar system at about the 3.5 sigma level. However, when the
correlations are correctly accounted for, the SNe data only detects the solar
system peculiar velocity at about the 2.5 sigma level. We forecast that the
solar system peculiar velocity will be detected at the 9 sigma level by GAIA
and the 11 sigma level by the LSST. For these surveys we find the correlations
are much less important as most of the signal comes from higher redshifts where
the number density of SNe is insufficient for the correlations to be important.


title: On a class of curved flag multipliers

abstract:
  We characterize a family of curved flag kernels in terms of their multipliers
and prove L^p boundedness.


title:
Effect of Nanoscale Confinement on the \beta-\alpha Phase Transition in
  Ag2Se

abstract:
  The confinement of silver selenide was investigated using mesoporous silica.
Results from x-ray diffraction and electron microscopy show that the confined
material still exhibits a \beta to \alpha transition similar to the one that
takes place in the bulk crystalline state but with a transition temperature
that depends significantly on the confinement conditions. Decreasing the pore
size leads to an increase of the transition temperature, opposite to the
behavior of the melting point observed in several metallic and organic
materials. In the free particles, on the other hand, no size dependence is
observed with particle sizes down to 4 nm.


title: The BES-III experiment at the high luminosity Tau-Charm factory

abstract:
  Interesting results from BES-II and other experiments raised actually many
new questions which shall be answered by its upgrade program, BEPCII and
BES-III. The design and current status of BEPCII and BES-III are reported.


title:
Non adiabatic features of electron pumping through a quantum dot in the
  Kondo regime

abstract:
  We investigate the behavior of the dc electronic current, Jdc, in an
interacting quantum dot driven by two ac local potentials oscillating with a
frequency, Omega0, and a phase-lag, phi. We provide analytical functions to
describe the fingerprints of the Coulomb interaction in an experimental Jdc vs
phi characteristic curve. We show that the Kondo resonance reduces at low
temperatures the frequency range for the linear behavior of Jdc in Omega0 to
take place and determines the evolution of the dc-current as the temperature
increases.


title:
First-principles study of ferroelectric oxide epitaxial thin films and
  superlattices: role of the mechanical and electrical boundary conditions

abstract:
  In this review, we propose a summary of the most recent advances in the
first-principles study of ferroelectric oxide epitaxial thin films and
multilayers. We discuss in detail the key roles of mechanical and electrical
boundary conditions, providing to the reader the basic background for a simple
and intuitive understanding of the evolution of the ferroelectric properties in
many nanostructures. Going further we also highlight promising new avenues and
future challenges within this exciting field or researches.


title:
Mean density of inhomogeneous Boolean models with lower dimensional
  typical grain

abstract:
  The mean density of a random closed set $\Theta$ in $\R^d$ with Hausdorff
dimension $n$ is the Radon-Nikodym derivative of the expected measure
$\E[\h^n(\Theta\cap\cdot)]$ induced by $\Theta$ with respect to the usual
$d$-dimensional Lebesgue measure. We consider here inhomogeneous Boolean models
with lower dimensional typical grain. Under general regularity assumptions on
the typical grain, related to the existence of its Minkowski content, and on
the intensity measure of the underlying Poisson point process, we prove an
explicit formula for the mean density. The proof of such formula provides as
by-product estimators for the mean density in terms of the empirical capacity
functional, which turns to be closely related to the well known random variable
density estimation by histograms in the extreme case $n=0$. Particular cases
and examples are also discussed.


title:
Analysis of Negative Parity Baryon Photoproduction Amplitudes in the
  $1/N_c$ Expansion

abstract:
  We study the photoproduction helicity amplitudes of negative parity baryons
in the context of the $1/N_c$ expansion of QCD. A complete analysis to
next-to-leading order is carried out. The results show sub-leading effects to
be within the magnitude expected from the $1/N_c$ power counting. They also
show significant deviations from the quark model, in particular the need for
2-body effects.


title:
Clustering properties of a type-selected volume-limited sample of
  galaxies in the CFHTLS

abstract:
  (abridged) We present an investigation of the clustering of i'AB<24.5
galaxies in the redshift interval 0.2<z<1.2. Using 100,000 precise photometric
redshifts in the four ultra-deep fields of the Canada-France Legacy Survey, we
construct a set of volume-limited galaxy catalogues. We study the dependence of
the amplitude and slope of the galaxy correlation function on absolute B-band
rest-frame luminosity, redshift and best-fitting spectral type. We find: 1. The
comoving correlation length for all galaxies decreases steadily from z~0.3 to
z~1. 2. At all redshifts and luminosities, galaxies with redder rest-frame
colours have clustering amplitudes between two and three times higher than
bluer ones. 3. For bright red and blue galaxies, the clustering amplitude is
invariant with redshift. 4. At z~0.5, less luminous galaxies have higher
clustering amplitudes of around 6 h-1 Mpc. 5. The relative bias between
galaxies with red and blue rest-frame colours increases gradually towards
fainter absolute magnitudes. One of the principal implications of these results
is that although the full galaxy population traces the underlying dark matter
distribution quite well (and is therefore quite weakly biased), redder, older
galaxies have clustering lengths which are almost invariant with redshift, and
by z~1 are quite strongly biased.


title: Observation of dressed excitonic states in a single quantum dot

abstract:
  We report the observation of dressed states of a quantum dot. The optically
excited exciton and biexciton states of the quantum dot are coupled by a strong
laser field and the resulting spectral signatures are measured using
differential transmission of a probe field. We demonstrate that the anisotropic
electron-hole exchange interaction induced splitting between the x- and
y-polarized excitonic states can be completely erased by using the AC-Stark
effect induced by the coupling field, without causing any appreciable
broadening of the spectral lines. We also show that by varying the polarization
and strength of a resonant coupling field, we can effectively change the
polarization-axis of the quantum dot.


title:
Edgeworth Expansion of the Largest Eigenvalue Distribution Function of
  GUE Revisited

abstract:
  We derive expansions of the resolvent
Rn(x;y;t)=(Qn(x;t)Pn(y;t)-Qn(y;t)Pn(x;t))/(x-y) of the Hermite kernel Kn at the
edge of the spectrum of the finite n Gaussian Unitary Ensemble (GUEn) and the
finite n expansion of Qn(x;t) and Pn(x;t). Using these large n expansions, we
give another proof of the derivation of an Edgeworth type theorem for the
largest eigenvalue distribution function of GUEn. We conclude with a brief
discussion on the derivation of the probability distribution function of the
corresponding largest eigenvalue in the Gaussian Orthogonal Ensemble (GOEn) and
Gaussian Symplectic Ensembles (GSEn).


title: First superburst from a classical low-mass X-ray binary transient

abstract:
  We report the analysis of the first superburst from a transiently accreting
neutron star system with the All-Sky Monitor (ASM) on the Rossi X-ray Timing
Explorer. The superburst occurred 55 days after the onset of an accretion
outburst in 4U 1608-522. During that time interval, the accretion rate was at
least 7% of the Eddington limit. The peak flux of the superburst is 22 to 45%
of the Eddington limit, and its radiation energy output is between 4e41 and
9e41 erg for a distance of 3.2 kpc. Fits of cooling models to the superburst
light curve indicate an ignition column depth between 1.5e12 and 4.1e12 g/cm2.
Extrapolating the accretion history observed by the ASM, we derive that this
column was accreted over a period of 26 to 72 years. The superburst
characteristics are consistent with those seen in other superbursting low-mass
X-ray binaries. However, the transient nature of the hosting binary presents
significant challenges for superburst theory, requiring additional ingredients
for the models. The carbon that fuels the superburst is thought to be produced
mostly during the accretion outbursts and destroyed in the frequent type-I
X-ray bursts. Mixing and sedimentation of the elements in the neutron star
envelope may significantly influence the balance between the creation and
destruction of carbon. Furthermore, predictions for the temperature of the
neutron star crust fail to reach the values required for the ignition of carbon
at the inferred column depth.


title:
Towards Structural Classification of Proteins based on Contact Map
  Overlap

abstract:
  A multitude of measures have been proposed to quantify the similarity between
protein 3-D structure. Among these measures, contact map overlap (CMO)
maximization deserved sustained attention during past decade because it offers
a fine estimation of the natural homology relation between proteins. Despite
this large involvement of the bioinformatics and computer science community,
the performance of known algorithms remains modest. Due to the complexity of
the problem, they got stuck on relatively small instances and are not
applicable for large scale comparison. This paper offers a clear improvement
over past methods in this respect. We present a new integer programming model
for CMO and propose an exact B &B algorithm with bounds computed by solving
Lagrangian relaxation. The efficiency of the approach is demonstrated on a
popular small benchmark (Skolnick set, 40 domains). On this set our algorithm
significantly outperforms the best existing exact algorithms, and yet provides
lower and upper bounds of better quality. Some hard CMO instances have been
solved for the first time and within reasonable time limits. From the values of
the running time and the relative gap (relative difference between upper and
lower bounds), we obtained the right classification for this test. These
encouraging result led us to design a harder benchmark to better assess the
classification capability of our approach. We constructed a large scale set of
300 protein domains (a subset of ASTRAL database) that we have called Proteus
300. Using the relative gap of any of the 44850 couples as a similarity
measure, we obtained a classification in very good agreement with SCOP. Our
algorithm provides thus a powerful classification tool for large structure
databases.


title: Coframe geometry and gravity

abstract:
  The possible extensions of GR for description of fermions on a curved space,
for supergravity and for loop quantum gravity require a richer set of 16
independent variables. These variables can be assembled in a coframe field,
i.e., a local set of four linearly independent 1-forms. In the ordinary
formulation, the coframe gravity does not have any connection to a specific
geometry even being constructed from the geometrical meaningful objects. A
geometrization of the coframe gravity is an aim of this paper. We construct a
complete class of the coframe connections which are linear in the first order
derivatives of the coframe field on an $n$ dimensional manifolds with and
without a metric. The subclasses of the torsion-free, metric-compatible and
flat connections are derived. We also study the behavior of the geometrical
structures under local transformations of the coframe. The remarkable fact is
an existence of a subclass of connections which are invariant when the
infinitesimal transformations satisfy the Maxwell-like system of equations. In
the framework of the coframe geometry construction, we propose a geometrical
action for the coframe gravity. It is similar to the Einstein-Hilbert action of
GR, but the scalar curvature is constructed from the general coframe
connection. We show that this geometric Lagrangian is equivalent to the coframe
Lagrangian up to a total derivative term. Moreover there is a family of coframe
connections which Lagrangian does not include the higher order terms at all. In
this case, the equivalence is complete.


title: Signalizers and balance in groups of finite Morley rank

abstract:
  We show that a minimal counter example to the Cherlin-Zilber Algebraicity
Conjecture for simple groups of finite Morley rank has Prufer 2-rank at most
two. This article covers the signalizer functor theory and identifies the
groups of Lie rank at least three; leaving the uniqueness case analysis to
previous articles. This result signifies the end of the general methods used to
handle large groups; hereafter each individual group PSL$_2$, PSL$_3$, PSp$_4$,
and G$_2$ will require its own identification theorem.


title: The Penrose Lattice revisited

abstract:
  A recursive scheme relying on decagons is used to generate Penrose-like
sublattices or tilings. Its relevance for understanding structures with
non-crystallographic symmetry is discussed.


title:
Quantum cloning a pair of orthogonally polarized photons with linear
  optics

abstract:
  A linear optical probabilistic scheme for the optimal cloning of a pair of
orthogonally-polarized photons is devised, based on single- and two-photon
interferences. It consists in a partial symmetrization device, realized with a
modified unbalanced Mach-Zehnder interferometer, followed by two independent
Hong-Ou-Mandel interferometers. This scheme has the advantage that it enables
quantum cloning without the need for stimulated amplification in a nonlinear
medium. It can also be modified so to make an optical two-qubit partial SWAP
gate, thereby providing a potentially useful tool to linear optics quantum
computing.


title: Implication of the Mott-limit violation in high-Tc cuprates

abstract:
  The Fermi arc is a striking manifestation of the strong-correlation physics
in high-T_c cuprates. In this paper, implications of the metallic transport in
the lightly hole-doped regime of the cuprates, where the Fermi arcs are found,
are examined in conjunction with competing interpretations of the Fermi arcs in
terms of small hole pockets or a large underlying Fermi surface. It is
discussed that the latter picture provides a more natural understanding of the
metallic transport in view of the Mott-limit argument. Furthermore, it is shown
that a suitable modeling of the Fermi arcs in the framework of the Boltzmann
theory allows us to intuitively understand why the transport properties are
apparently determined by a "small" carrier density even when the underlying
Fermi surface, and hence k_F, is large.


title:
Pitfalls in the analysis of low-temperature thermal conductivity of
  high-Tc cuprates

abstract:
  Recently, it was proposed that phonons are specularly reflected below about
0.5 K in ordinary single-crystal samples of high-T_c cuprates, and that the
low-temperature thermal conductivity should be analyzed by fitting the data up
to 0.5 K using an arbitrary power law. Such an analysis yields a result
different from that obtained from the conventional analysis, in which the
fitting is usually restricted to a region below 0.15 K. Here we show that the
proposed new analysis is most likely flawed, because the specular phonon
reflection means that the phonon mean free path \ell gets LONGER than the mean
sample width, while the estimated \ell is actually much SHORTER than the mean
sample width above 0.15 K.


title:
Unified Homogenization Theory for Magnetoinductive and Electromagnetic
  Waves in Split Ring Metamaterials

abstract:
  A unified homogenization procedure for split ring metamaterials taking into
account time and spatial dispersion is introduced. The procedure is based on
two coupled systems of equations. The first one comes from an approximation of
the metamaterial as a cubic arrangement of coupled LC circuits, giving the
relation between currents and local magnetic field. The second equation comes
from macroscopic Maxwell equations, and gives the relation between the
macroscopic magnetic field and the average magnetization of the metamaterial.
It is shown that electromagnetic and magnetoinductive waves propagating in the
metamaterial are obtained from this analysis. Therefore, the proposed time and
spatially dispersive permeability accounts for the characterization of the
complete spectrum of waves of the metamaterial. Finally, it is shown that the
proposed theory is in good quantitative and qualitative agreement with full
wave simulations.


title: Highly deuterated pre-stellar cores in a high-mass star formation region

abstract:
  We have observed the deuterated gas in the high-mass star formation region
IRAS 05345+3157 at high-angular resolution, in order to determine the
morphology and the nature of such gas. We have mapped the N2H+ (1-0) line with
the Plateau de Bure Interferometer, and the N2D+ (3-2) and N2H+ (3-2) lines
with the Submillimeter Array. The N2D+ (3-2) integrated emission is
concentrated in two condensations, with masses of 2-3 and 9 M_sun and diameters
of 0.05 and 0.09 pc, respectively. The high deuterium fractionation (0.1) and
the line parameters in the N2D+ condensations indicate that they are likely
low- to intermediate-mass pre-stellar cores, even though other scenarios are
possible.


title: Instruction sequences with dynamically instantiated instructions

abstract:
  We study sequential programs that are instruction sequences with dynamically
instantiated instructions. We define the meaning of such programs in two
different ways. In either case, we give a translation by which each program
with dynamically instantiated instructions is turned into a program without
them that exhibits on execution the same behaviour by interaction with some
service. The complexity of the translations differ considerably, whereas the
services concerned are equally simple. However, the service concerned in the
case of the simpler translation is far more powerful than the service concerned
in the other case.


title: Empirical likelihood based testing for regression

abstract:
  Consider a random vector $(X,Y)$ and let $m(x)=E(Y|X=x)$. We are interested
in testing $H_0:m\in {\cal M}_{\Theta,{\cal G}}=\{\gamma(\cdot,\theta,g):\theta
\in \Theta,g\in {\cal G}\}$ for some known function $\gamma$, some compact set
$\Theta \subset $IR$^p$ and some function set ${\cal G}$ of real valued
functions. Specific examples of this general hypothesis include testing for a
parametric regression model, a generalized linear model, a partial linear
model, a single index model, but also the selection of explanatory variables
can be considered as a special case of this hypothesis. To test this null
hypothesis, we make use of the so-called marked empirical process introduced by
\citeD and studied by \citeSt for the particular case of parametric regression,
in combination with the modern technique of empirical likelihood theory in
order to obtain a powerful testing procedure. The asymptotic validity of the
proposed test is established, and its finite sample performance is compared
with other existing tests by means of a simulation study.


title: Fundamental String and D1-brane in I-brane Background

abstract:
  This paper is devoted to the study of dynamics of fundamental string and
D1-brane in I-brane background. We consider configurations where string and
D1-brane uniformly wrap transverse spheres. We explicitly determine
corresponding conserved charges and find relations between them.


title: Computing Humbert Surfaces

abstract:
  We describe an algorithm which computes components of Humbert surfaces in
terms of Rosenhain invariants, based on Runge's method


title: Integrating Superconductive and Optical Circuits

abstract:
  We have integrated on oxidized silicon wafers superconductive films and
Josephson junctions along with sol-gel optical channel waveguides. The
fabrication process is carried out in two steps that result to be solid and
non-invasive. It is demonstrated that 660 nm light, coupled from an optical
fibre into the channel sol-gel waveguide, can be directed toward
superconducting tunnel junctions whose current-voltage characteristics are
affected by the presence of the radiation. The dependence of the change in the
superconducting energy gap under optical pumping is discussed in terms of a
non-equilibrium superconductivity model.


title:
Limits on nu_e and anti-nu_e disappearance from Gallium and reactor
  experiments

abstract:
  The deficit observed in the Gallium radioactive source experiments is
interpreted as a possible indication of the disappearance of electron
neutrinos. In the effective framework of two-neutrino mixing we obtain
$\sin^{2}2\vartheta \gtrsim 0.03$ and $\Delta{m}^{2} \gtrsim 0.1
\text{eV}^{2}$. The compatibility of this result with the data of the Bugey and
Chooz reactor short-baseline antineutrino disappearance experiments is studied.
It is found that the Bugey data present a hint of neutrino oscillations with
$0.02 \lesssim \sin^{2}2\vartheta \lesssim 0.08$ and $\Delta{m}^{2} \approx 1.8
  \text{eV}^{2}$, which is compatible with the Gallium allowed region of the
mixing parameters. This hint persists in the combined analyses of Bugey and
Chooz data, of Gallium and Bugey data, and of Gallium, Bugey, and Chooz data.


title:
Scalar mesons from Unitarized Chiral Perturbation Theory: N_c and quark
  mass dependences

abstract:
  We review recent studies of light scalar meson properties by means of
unitarization techniques, obtained from dispersion theory, and applied to the
Chiral Perturbation Theory expansion. In particular, light scalars do not
follow the N_c dependence of $\bar q q$ states although a subdominant
quark-antiquark component may be observed to arise for the f_0(600) around 1
GeV, where another quark-antiquark multiplet is believed to exist. Finally, we
present our preliminary results on the quark mass dependence of the f_0(600)
and rho(770) resonances.


title: Perturbations for the Coulomb - Kepler problem on de Sitter space-time

abstract:
  In the Schrodinger picture of the Dirac quantum mechanics, defined in charts
with spatially flat Robertson-Walker metrics and Cartesian coordinates the
perturbation theory is applied to the interacting part of the Hamiltonian
operator produced by the minimal coupling with the gravitational field. First
and second order perturbations are computed.


title: Consumption processes and positively homogeneous projection properties

abstract:
  We constructively prove the existence of time-discrete consumption processes
for stochastic money accounts that fulfill a pre-specified positively
homogeneous projection property (PHPP) and let the account always be positive
and exactly zero at the end. One possible example is consumption rates forming
a martingale under the above restrictions. For finite spaces, it is shown that
any strictly positive consumption strategy with restrictions as above possesses
at least one corresponding PHPP and could be constructed from it. We also
consider numeric examples under time-discrete and -continuous account
processes, cases with infinite time horizons and applications to income
drawdown and bonus theory.


title: On the Colored HOMFLY-PT, Multivariable and Kashaev Link Invariants

abstract:
  We study various specializations of the colored HOMFLY-PT polynomial. These
specializations are used to show that the multivariable link invariants arising
from a complex family of sl(m|n) super-modules previously defined by the
authors contains both the multivariable Alexander polynomial and Kashaev's
invariants. We conjecture these multivariable link invariants also specialize
to the generalized multivariable Alexander invariants defined by Y. Akutsu, T.
Deguchi, and T. Ohtsuki.


title:
Observation of correlations up to the micrometer scale in sliding
  charge-density waves

abstract:
  High-resolution coherent x-ray diffraction experiment has been performed on
the charge density wave (CDW) system K$_{0.3}$MoO$_3$. The $2k_F$ satellite
reflection associated with the CDW has been measured with respect to external
dc currents. In the sliding regime, the $2k_F$ satellite reflection displays
secondary satellites along the chain axis which corresponds to correlations up
to the micrometer scale. This super long range order is 1500 times larger than
the CDW period itself. This new type of electronic correlation seems inherent
to the collective dynamics of electrons in charge density wave systems. Several
scenarios are discussed.


title: Existence of Least-perimeter Partitions

abstract:
  We prove the existence of a perimeter-minimizing partition of R^n into
regions of unit volume. We conclude with a short tribute to the late Manuel A.
Fortes.


title: Modified quantum dimensions and re-normalized link invariants

abstract:
  In this paper we give a re-normalization of the Reshetikhin-Turaev quantum
invariants of links, by modified quantum dimensions. In the case of simple Lie
algebras these modified quantum dimensions are proportional to the usual
quantum dimensions. More interestingly we will give two examples where the
usual quantum dimensions vanish but the modified quantum dimensions are
non-zero and lead to non-trivial link invariants. The first of these examples
is a class of invariants arising from Lie superalgebras previously defined by
the first two authors. These link invariants are multivariable and generalize
the multivariable Alexander polynomial. The second example, is a hierarchy of
link invariants arising from nilpotent representations of quantized sl(2) at a
root of unity. These invariants contain Kashaev's quantum dilogarithm
invariants of knots.


title: Discovery of ultra-compact nuclear rings in three spiral galaxies

abstract:
  Ring-shaped morphologies of nuclear star-forming regions within the central
40-200 pc of disk galaxies have been barely resolved so far in three composite
Sy2 nuclei, the Sy2 Circinus galaxy and in three non-AGN galaxies. Such
morphologies resemble those of the standard 1 kpc-size nuclear rings that lie
in the inner Lindblad resonance regions of disk galaxies and, if they have a
similar origin, represent recent radial gas inflows tantalisingly close to the
central supermassive black holes. We aim to identify the population of such
ultra-compact nuclear rings (UCNRs) and study their properties in relation to
those of the host galaxies. From archival Hubble Space Telescope UV and Halpha
images and from dust structure maps of the circumnuclear regions in nearby
galaxies, we analyse the morphology of the star formation and dust,
specifically searching for ring structures on the smallest observable scales.
In a sample of 38 galaxies studied, we have detected a total of four new UCNRs,
30-130 pc in radius, in three different galaxies. Including our confirmation of
a previous UCNR detection, this yields a UCNR fraction of roughly 10%, although
our sample is neither complete nor unbiased. For the first time we resolve
UCNRs in two LINERs. Overall the UCNR phenomenon appears widespread and limited
neither to late-type galaxies nor exclusively to AGN hosts.


title:
An invariant supertrace for the category of representations of Lie
  superalgebras

abstract:
  In this paper we give a re-normalization of the supertrace on the category of
representations of Lie superalgebras of type I, by a kind of modified
superdimension. The genuine superdimensions and supertraces are generically
zero. However, these modified superdimensions are non-zero and lead to a kind
of supertrace which is non-trivial and invariant. As an application we show
that this new supertrace gives rise to a non-zero bilinear form on a space of
invariant tensors of a Lie superalgebra of type I. The results of this paper
are completely classical results in the theory of Lie superalgebras but
surprisingly we can not prove them without using quantum algebra and
low-dimensional topology.


title:
Lepton Generation Problem, Some Properties and Implications of the
  Curved Spacetime Dirac Equation -- (II)

abstract:
  This reading is a continuation of the earlier reading Nyambuya (2008); where
three new Curved Spacetime Dirac Equations have been derived mainly to try and
account in a natural way for the observed anomalous gyromagnetic ratio of
fermions and the suggestions is that particles including the Electron, which is
thought to be a point particle, do have a finite spatial size and this is one
of the reasons for the observed anomalous gyromagnetic ratio. Combining the
idea in Nyambuya (2008) which lead to the derivation of the three new Curved
Spacetime Dirac Equations, and the proposed Unified Field Theory (Nyambuya
2007), a total of 12 equations each with 16 sub-components are generated thus
leading to a total of 192 equations for the Curved Spacetime Dirac Equation.
Some symmetries of these equations are investigated, i.e., the Lorentz
symmetry, charge conjugation symmetry (C), time reversal symmetry (T), Space
reversal (P) and a combination of the C, P and T - symmetries. It is shown that
these equations are Lorentz invariant, obey C-symmetry and that some violate T
and P-symmetry while others do not and that they all obey PT-symmetry. These
symmetries show (or modestly said -- seem to suggest) that anti-particles have
positive mass and energy but a negative rest-mass and the opposite sign in
electronic charge. Through the inspection of these symmetries, a suggestion is
(here) made to the effect that the rest-mass of a particle must be related to
the electronic charge of that particle thus leading us to a possible resolution
of whether or not Neutrinos do have a none-zero rest-mass. Additionally, we
demonstrate that these equations have the potency to explain naturally the
observed lepton generation phenomena.