title:
Frequency Domain Simulations of Charge-Density-Wave Strains: Comparison
  with Electro-Optic Measurements

abstract:
  We have studied changes in charge-density-wave strain under application of
square-wave currents of variable amplitude and frequency by numerically solving
the phase-slip augmented diffusion model introduced by Adelman et al (Phys.
Rev. B 53, 1833 (1996)). The frequency dependence of the strain, at each
position and amplitude, was fit to a modified harmonic oscillator expression,
and the position and current dependence of the fitting parameters determined.
In particular, the delay time (1/resonant frequency) vanishes adjacent to the
contact and grows with distance from the contact, and both the delay time and
relaxation time decrease rapidly with increasing current (and phase-slip rate),
as experimentally observed in the electro-optic response of blue bronze. We
have also found that pinning the phase at the contacts causes more rapid
changes in strain between the contacts than allowing the phase to flow outside
the contacts.


title: HFAG Charm Mixing Averages

abstract:
  Recently the first evidence for charm mixing has been reported by several
experiments. To provide averages of these mixing results and other charm
results, a new subgroup of the Heavy Flavor Averaging Group has been formed. We
here report on the method and results of averaging the charm mixing results.


title:
Constraining the Age-Activity Relation for Cool Stars: The SDSS DR5
  Low-Mass Star Spectroscopic Sample

abstract:
  We present a spectroscopic analysis of over 38,000 low-mass stars from the
Sloan Digital Sky Survey (SDSS) Data Release 5 (DR5). Analysis of this
unprecedentedly large sample confirms the previously detected decrease in the
fraction of magnetically active stars (as traced by H-alpha emission) as a
function of vertical distance from the Galactic Plane. The magnitude and slope
of this effect varies as a function of spectral type. Using simple 1-D
dynamical models, we demonstrate that the drop in activity fraction can be
explained by thin disk dynamical heating and a rapid decrease in magnetic
activity. The timescale for this rapid activity decrease changes according to
the spectral type. By comparing our data to the simulations, we calibrate the
age-activity relation at each M dwarf spectral type. We also present evidence
for a possible decrease in the metallicity as a function of height above the
Galactic Plane. In addition to our activity analysis, we provide line
measurements, molecular band indices, colors, radial velocities, 3-D space
motions and mean properties as a function of spectral type for the SDSS DR5
low-mass star sample.


title:
The influence of residual gas expulsion on the evolution of the Galactic
  globular cluster system and the origin of the Population II halo

abstract:
  We present new results on the evolution of the mass function of the globular
cluster system of the Milky Way, taking the effect of residual gas expulsion
into account. We assume that gas embedded star clusters start with a power-law
mass function with slope \beta=2. The dissolution of the clusters is then
studied under the combined influence of residual gas expulsion driven by energy
feedback from massive stars, stellar mass-loss, two-body relaxation and an
external tidal field. The influence of residual gas expulsion is studied by
applying results from a large grid of N-body simulations computed by Baumgardt
& Kroupa (2007).
  In our model, star clusters with masses less than 10^5 M_sun lose their
residual gas on timescales much shorter than their crossing time and residual
gas expulsion is the main dissolution mechanism for star clusters, destroying
about 95% of all clusters within a few 10s of Myr. We find that in this case
the final mass function of globular clusters is established mainly by the gas
expulsion and therefore nearly independent of the strength of the external
tidal field, and that a power-law mass function for the gas embedded star
clusters is turned into a present-day log-normal one.
  Another consequence of residual gas expulsion and the associated strong
infant mortality of star clusters is that the Galactic halo stars come from
dissolved star clusters. Since field halo stars would come mainly from
low-mass, short-lived clusters, our model provides an explanation for the
observed abundance variations of light elements among globular cluster stars
and the absence of such variations among the halo field stars.


title: Detection of Cherenkov light from air showers with Geiger-APDs

abstract:
  We have detected Cherenkov light from air showers with Geiger-mode APDs
(G-APDs). G-APDs are novel semiconductor photon-detectors, which offer several
advantages compared to conventional photomultiplier tubes in the field of
ground-based gamma-ray astronomy. In a field test with the MAGIC telescope we
have tested the efficiency of a G-APD / light catcher setup to detect Cherenkov
light from air showers. We estimate a detection efficiency, which is 60% higher
than the efficiency of a MAGIC camera pixel. Ambient temperature dark count
rates of the tested G-APDs are below the rates of the night sky light
background. According to these recent tests G-APDs promise a major progress in
ground-based gamma-ray astronomy.


title:
Strong lensing optical depths in a LCDM universe II: the influence of
  the stellar mass in galaxies

abstract:
  We investigate how strong gravitational lensing in the concordance LCDM
cosmology is affected by the stellar mass in galaxies. We extend our previous
studies, based on ray-tracing through the Millennium Simulation, by including
the stellar components predicted by galaxy formation models. We find that the
inclusion of these components greatly enhances the probability for strong
lensing compared to a `dark matter only' universe. The identification of the
`lenses' associated with strong-lensing events reveals that the stellar mass of
galaxies (i) significantly enhances the strong-lensing cross-sections of group
and cluster halos, and (ii) gives rise to strong lensing in smaller halos,
which would not produce noticeable effects in the absence of the stars. Even if
we consider only image splittings >10 arcsec, the luminous matter can enhance
the strong-lensing optical depths by up to a factor of 2.


title: Photometric Redshifts with Surface Brightness Priors

abstract:
  We use galaxy surface brightness as prior information to improve photometric
redshift (photo-z) estimation. We apply our template-based photo-z method to
imaging data from the ground-based VVDS survey and the space-based GOODS field
from HST, and use spectroscopic redshifts to test our photometric redshifts for
different galaxy types and redshifts. We find that the surface brightness prior
eliminates a large fraction of outliers by lifting the degeneracy between the
Lyman and 4000 Angstrom breaks. Bias and scatter are improved by about a factor
of 2 with the prior for both the ground and space data. Ongoing and planned
surveys from the ground and space will benefit, provided that care is taken in
measurements of galaxy sizes and in the application of the prior. We discuss
the image quality and signal-to-noise requirements that enable the surface
brightness prior to be successfully applied.


title:
Evidence for Misaligned Disks in the T Tauri Triple System: 10 um
  Super-Resolution with MMTAO and Markov Chains

abstract:
  Although T Tauri is one of the most studied young objects in astronomy, the
nature of its circumstellar environment remains elusive due, in part, to the
small angular separation of its three components (North-South and South a-b are
separated by 0.68" and 0.12" respectively). Taking advantage of incredibly
stable, high Strehl, PSFs obtained with Mid-IR adaptive optics at the 6.5 meter
MMT, we are able to resolve the system on and off the 10um silicate dust
feature (8.7um, 10.55um, and 11.86um; 10% bandwidth), and broad N. At these
wavelengths, South a-b are separated by only ~0.3 lambda/D. This paper
describes a robust Markov Chain Monte Carlo technique to separate all three
components astrometrically and photometrically, for the first time, in the
mid-IR. Our results show that the silicate feature previously observed in the
unresolved T Tau South binary is dominated by T Tau Sa's absorption, while Sb
does not appear to have a significant feature. This suggests that a large
circumbinary disk around Sa-Sb is not likely the primary source of cool dust in
our line-of-sight, and that T Tau Sa is enshrouded by a nearly edge-on
circumstellar disk. Surprisingly, T Tau Sb does not appear to have a similarly
oriented disk.


title:
Kaluza-Klein masses in nonprime orbifolds: Z(12-I) compactification and
  threshold correction

abstract:
  Analyzing the one-loop partition function, we discuss possible Kaluza-Klein
(KK) states in the orbifold compactification of the heterotic string theory,
toward the application to the threshold correction. The KK massive states
associated with (relatively) large extra dimensions can arise only in non-prime
orbifolds. The GSO projection condition by a shift vector $V^I$ is somewhat
relaxed above the compactification scale 1/R. We also present the other
condition on Wilson line $W$, $P\cdot W={\rm integer}$. With the knowledge of
the partition function, we obtain the threshold corrections to gauge couplings,
which include the Wilson line effects. We point out the differences in string
and field theoretic orbifolds.


title: Quivers and the Euclidean group

abstract:
  We show that the category of representations of the Euclidean group of
orientation-preserving isometries of two-dimensional Euclidean space is
equivalent to the category of representations of the preprojective algebra of
infinite type A. We also consider the moduli space of representations of the
Euclidean group along with a set of generators. We show that these moduli
spaces are quiver varieties of the type considered by Nakajima. Using these
identifications, we prove various results about the representation theory of
the Euclidean group. In particular, we prove it is of wild representation type
but that if we impose certain restrictions on weight decompositions, we obtain
only a finite number of indecomposable representations.


title:
The Price of Anarchy in Transportation Networks: Efficiency and
  Optimality Control

abstract:
  Uncoordinated individuals in human society pursuing their personally optimal
strategies do not always achieve the social optimum, the most beneficial state
to the society as a whole. Instead, strategies form Nash equilibria which are
often socially suboptimal. Society, therefore, has to pay a price of anarchy
for the lack of coordination among its members. Here we assess this price of
anarchy by analyzing the travel times in road networks of several major cities.
Our simulation shows that uncoordinated drivers possibly waste a considerable
amount of their travel time. Counterintuitively,simply blocking certain streets
can partially improve the traffic conditions. We analyze various complex
networks and discuss the possibility of similar paradoxes in physics.


title: Testing Gravity with the CFHTLS-Wide Cosmic Shear Survey and SDSS LRGs

abstract:
  General relativity as one the pillar of modern cosmology has to be thoroughly
tested if we want to achieve an accurate cosmology. We present the results from
such a test on cosmological scales using cosmic shear and galaxy clustering
measurements. We parametrize potential deviation from general relativity as a
modification to the cosmological Poisson equation. We consider two models
relevant either for some linearized theory of massive gravity or for the
physics of extra-dimensions. We use the latest observations from the
CFHTLS-Wide survey and the SDSS survey to set our constraints. We do not find
any deviation from general relativity on scales between 0.04 and 10 Mpc. We
derive constraints on the graviton mass in a restricted class of model.


title: Causal spin foams and the ontology of spacetime

abstract:
  We present some modern theories on the structure of spacetime that can be
classified as relational theories in the direction of Leibniz's ontology. In
order to analyze the nature of spacetime we consider three levels of knowledge
-observational, theoretical and ontological- to which the different models can
be adscribed. Following similar approach to these models mentioned at the first
sections, we present our theoretical model of the structure of spacetime, some
physical applications, and the ontological interpretation of the model.


title: Evidence for Early Circumstellar Disk Evolution in NGC 2068/71

abstract:
  We study the disk and accretion properties of young stars in the NGC 2068 and
NGC 2071 clusters. Using low-resolution optical spectra, we define a membership
sample and determine an age for the region of ~2 Myr. Using high-resolution
spectra of the H-alpha line we study the accretion activity of these likely
members and also examine the disk properties of the likely members using IRAC
and MIPS mid-infrared photometry. A substantial fraction (79%) of the 67
members have an infrared excess while all of the stars with significant
infrared excess show evidence for active accretion. We find three populations
of evolved disks (IRAC-weak, MIPS-weak and transition disks) all of which show
decreased accretion activity in addition to the evidence for evolution in the
dust disk.


title:
Asymmetry with respect to the magnetic field direction in the
  interaction between the quantum states of two coupled superconducting rings

abstract:
  The interaction between the quantum states of two aluminum superconducting
rings forming an 8-shape circular-asymmetric microstructure was examined under
a threading magnetic flux and bias by an alternating current without a dc
component. Quantum oscillations of the rectified dc voltage Vdc(B) as a
function of magnetic field were measured in the 8-shape microstructure at
various bias ac currents and temperatures close to critical. Fourier and
wavelet analyses of Vdc(B) functions revealed the presence of various
combination frequencies in addition to two ring fundamental frequencies, which
suggests the interaction in the structure. Deviation of the Vdc(B) function
from oddness with respect to the magnetic field direction was found for the
first time.


title: Simulations of dynamo action in fully convective stars

abstract:
  We present three-dimensional nonlinear magnetohydrodynamic simulations of the
interiors of fully convective M-dwarfs. Our models consider 0.3 solar-mass
stars using the Anelastic Spherical Harmonic code, with the spherical
computational domain extending from 0.08-0.96 times the overall stellar radius.
Like previous authors, we find that fully convective stars can generate
kG-strength magnetic fields (in rough equipartition with the convective flows)
without the aid of a tachocline of shear. Although our model stars are
everywhere unstably stratified, the amplitudes and typical pattern sizes of the
convective flows vary strongly with radius, with the outer regions of the stars
hosting vigorous convection and field amplification while the deep interiors
are more quiescent. Modest differential rotation is established in hydrodynamic
calculations, but -- unlike in some prior work --strongly quenched in MHD
simulations because of the Maxwell stresses exerted by the dynamo-generated
magnetic fields. Despite the lack of strong differential rotation, the magnetic
fields realized in the simulations possess significant mean (axisymmetric)
components, which we attribute partly to the strong influence of rotation upon
the slowly overturning flows.


title: Around the Gysin triangle II

abstract:
  We study the construction and properties of the Gysin triangle in an
axiomatic framework which covers triangulated mixed motives and MGl-modules
over an arbitrary base S. This allows to define the Gysin morphism associated
to a projective morphism between smooth S-schemes and prove duality for
projective smooth S-schemes. As part of the construction, cobordism classes are
considered and we give a proof of the Myschenko theorem generalized in our
context - this in fact gives another proof of the latter theorem in classical
stable homotopy through complex realization. Finally, these constructions apply
to rigid cohomology through the notion of a mixed Weil theory introduced by
D.-C. Cisinski and the author in another work.


title: Low Mass $S$-wave $K\pi$ and $\pi\pi$ System

abstract:
  Knowledge of the details of the $S$-wave $K\pi$ and $\pi\pi$ systems limits
the precision of measurements of heavy quark meson properties. This talk covers
recent experimental developments in parametrizing and measuring these waves,
and examines possibilities for the future.


title: Computer simulation of Wheeler's delayed choice experiment with photons

abstract:
  We present a computer simulation model of Wheeler's delayed choice experiment
that is a one-to-one copy of an experiment reported recently (V. Jacques {\sl
et al.}, Science 315, 966 (2007)). The model is solely based on experimental
facts, satisfies Einstein's criterion of local causality and does not rely on
any concept of quantum theory. Nevertheless, the simulation model reproduces
the averages as obtained from the quantum theoretical description of Wheeler's
delayed choice experiment. Our results prove that it is possible to give a
particle-only description of Wheeler's delayed choice experiment which
reproduces the averages calculated from quantum theory and which does not defy
common sense.


title:
Electron-phonon interaction and charge carrier mass enhancement in
  SrTiO3

abstract:
  We report a comprehensive THz, infrared and optical study of Nb doped SrTiO3
as well as DC conductivity and Hall effect measurements. Our THz spectra at 7K
show the presence of a very narrow (<2 meV) Drude peak, the spectral weight of
which shows approximately a factor of three enhancement of the band mass for
all carrier concentrations. The missing spectral weight is regained in a broad
'mid-infrared' band which originates from electron-phonon coupling. We find no
evidence of a particularly large electron-phonon coupling that would result in
small polaron formation. Analysis of the results yields an electron-phonon
coupling parameter of an intermediate strength, $\alpha \approx 4$.


title:
Lagrangian Densities and Principle of Least Action in Nonrelativistic
  Quantum Mechanics

abstract:
  The Principle of Least Action is used with a simple Lagrangian density,
involving second-order derivatives of the wave function, to obtain the
Schroedinger equation. A Hamiltonian density obtained from this simple
Lagrangian density shows that Hamilton's equations also give the Schroedinger
equation. This simple Lagrangian density is equivalent to a standard Lagrangian
density with first-order derivatives. For a time-independent system the
Principle of Least Action reduces to the energy variational principle. For
time-dependent systems the Principle of Least Action gives time-dependent
approximations. Using a Hartree product trial wave function for a
time-dependent many-boson system, we apply the Principle of Least Action to
obtain the Gross-Pitaevskii equation that describes a Bose-Einstein condensate.


title:
Distributed Consensus Algorithms in Sensor Networks: Quantized Data and
  Random Link Failures

abstract:
  The paper studies the problem of distributed average consensus in sensor
networks with quantized data and random link failures. To achieve consensus,
dither (small noise) is added to the sensor states before quantization. When
the quantizer range is unbounded (countable number of quantizer levels),
stochastic approximation shows that consensus is asymptotically achieved with
probability one and in mean square to a finite random variable. We show that
the meansquared error (m.s.e.) can be made arbitrarily small by tuning the link
weight sequence, at a cost of the convergence rate of the algorithm. To study
dithered consensus with random links when the range of the quantizer is
bounded, we establish uniform boundedness of the sample paths of the unbounded
quantizer. This requires characterization of the statistical properties of the
supremum taken over the sample paths of the state of the quantizer. This is
accomplished by splitting the state vector of the quantizer in two components:
one along the consensus subspace and the other along the subspace orthogonal to
the consensus subspace. The proofs use maximal inequalities for submartingale
and supermartingale sequences. From these, we derive probability bounds on the
excursions of the two subsequences, from which probability bounds on the
excursions of the quantizer state vector follow. The paper shows how to use
these probability bounds to design the quantizer parameters and to explore
tradeoffs among the number of quantizer levels, the size of the quantization
steps, the desired probability of saturation, and the desired level of accuracy
$\epsilon$ away from consensus. Finally, the paper illustrates the quantizer
design with a numerical study.


title: Accidental Inflation in String Theory

abstract:
  We show that inflation in type IIB string theory driven by the volume modulus
can be realized in the context of the racetrack-based Kallosh-Linde model (KL)
of moduli stabilization. Inflation here arises through the volume modulus
slow-rolling down from a flat hill-top or inflection point of the scalar
potential. This situation can be quite generic in the landscape, where by
uplifting one of the two adjacent minima one can turn the barrier either to a
flat saddle point or to an inflection point supporting eternal inflation. The
resulting spectral index is tunable in the range of 0.93 < n_s < 1, and there
is only negligible production of primordial gravitational waves r < 10^{-6}.
The flatness of the potential in this scenario requires fine-tuning, which may
be justified taking into account the exponential reward by volume factors
preferring the regions of the universe with the maximal amount of slow-roll
inflation. This consideration leads to a tentative prediction of the spectral
index $n_s\approx 0.95$ or $n_s \approx 0.93$ depending on whether the
potential has a symmetry phi -> - phi or not.


title: The structure of critical sets for F_p arithmetic progressions

abstract:
  Fix a prime p and a density 0 < d <= 1. Among all functions f : F_p -> [0,1],
what can one say about those which assign minimal weight to three-term
arithmetic progressions -- that is, the sum of f(a)f(a+x)f(a+2x) is minimal as
we sum over all a and x -- subject to the density constraint that the expected
value of f equals d? In the present paper we show three things about them: 1)
Such f are nearly indicator functions; 2) They enjoy a certain ``local
minimal'' property; and, 3) They are approximately indicator functions for
certain sumsets A+B.


title:
SHARC-II 350 micron Observations of Thermal Emission from Warm Dust in
  z>=5 Quasars

abstract:
  We present observations of four z>= SDSS quasars at 350 micron with the
SHARC-II bolometer camera on the Caltech Submillimeter Observatory. These are
among the deepest observations that have been made by SHARC-II at 350 micron,
and three quasars are detected at >=3 sigma significance, greatly increasing
the sample of 350 micron (corresponds to rest frame wavelengths of <60 micron
at z>=5), detected high-redshift quasars. The derived rest frame far-infrared
(FIR) emission in the three detected sources is about five to ten times
stronger than that expected from the average SED of the local quasars given the
same 1450A luminosity. Combining the previous submillimeter and millimeter
observations at longer wavelengths, the temperatures of the FIR-emitting warm
dust from the three quasar detections are estimated to be in the range of 39 to
52 K. Additionally, the FIR-to-radio SEDs of the three 350 micron detections
are consistent with the emission from typical star forming galaxies. The FIR
luminosities are ~10^{13} L_solar and the dust masses are >= 10^{8}M_solar.
These results confirm that huge amounts of warm dust can exist in the host
galaxies of optically bright quasars as early as z~6. The universe is so young
at these epochs (~1 Gyr) that a rapid dust formation mechanism is required. We
estimate the size of the FIR dust emission region to be about a few kpc, and
further provide a comparison of the SEDs among different kinds of dust emitting
sources to investigate the dominant dust heating mechanism.


title: Effective Kbar N interaction based on chiral SU(3) dynamics

abstract:
  The effective Kbar N interaction based on chiral SU(3) coupled-channel
dynamics is derived and its extrapolation below the Kbar N threshold is studied
in detail. Starting from the coupled-channel scattering equations, we eliminate
the channels other than Kbar N and obtain an effective interaction in the
single Kbar N channel. An equivalent local potential in coordinate space is
constructed such as to reproduce the full scattering amplitude of the chiral
SU(3) coupled-channel framework. We discuss several realistic chiral
SU(3)-based models in comparison to reach conclusions about the uncertainties
involved. It turns out that, in the region relevant to the discussion of deeply
bound Kbar-nuclear few-body systems, the resulting energy-dependent, equivalent
local potential is substantially less attractive than the one suggested in
previous purely phenomenological treatments.


title:
Point contact spectroscopy of Pr$_{2-x}$Ce$_x$CuO$_4$ in high magnetic
  fields

abstract:
  We have studied the density of states of the normal state of the
electron-doped superconductor Pr$_{2-x}$Ce$_x$CuO$_4$ at low temperatures and
in magnetic fields up to 31 Tesla using point contact spectroscopy on single
crystals. Our data clearly reveal an anomalous gap in the normal state density
of states. This normal state gap survives even in the highest applied field of
31 T. Our results cast doubt over whether this gap found in electron-doped
cuprates is the analog of the pseudogap in hole-doped cuprates. We have
suggested an alternate origin of the normal state gap, which involves the
effect of disorder and electron correlations at the surface of cuprates.


title: Staggered sheaves on partial flag varieties

abstract:
  Staggered $t$-structures are a class of $t$-structures on derived categories
of equivariant coherent sheaves. In this note, we show that the derived
category of coherent sheaves on a partial flag variety, equivariant for a Borel
subgroup, admits an artinian staggered $t$-structure. As a consequence, we
obtain a basis for its equivariant $K$-theory consisting of simple staggered
sheaves.


title: Unambiguous comparison of ensembles of quantum states

abstract:
  We present a solution of the problem of the optimal unambiguous comparison of
two ensembles of unknown quantum states (psi_1)^k and (psi_2)^l. We consider
two cases: 1) The two unknown states psi_1 and psi_2 are arbitrary states of
qudits. 2) Alternatively, they are coherent states of a harmonic oscillator.
For the case of coherent states we propose a simple experimental realization of
the optimal "comparison" machine composed of a finite number of beam-splitters
and a single photodetector.


title:
Modulational instability in Bose--Einstein condensate in optical
  superlattice

abstract:
  We consider the Bose-Einstein condensate trapped in optical lattice, which is
formed from two kinds of deep potentials. The tight-binding approximation was
used. Steady state distribution of the probability amplitudes and the site
population in the one dimensional optical superlattice were found. It was shown
that this solution of the equations which describe the dynamics of the
Bose-Einstein condensate in superlattice is unstable at the sufficiently high
density of the bosons. The expression for increment of the modulational
instability was found on base of the linear stability analysis. Numerical
simulation demonstrates the evolution of the steady state distributions of
bosons into the space array of the solitary peaks before the chaotic regime
generation.


title: Cavity Optomechanics

abstract:
  The coupling of mechanical and optical degrees of freedom via radiation
pressure has been a subject of early research in the context of gravitational
wave detection. Recent experimental advances have allowed studying for the
first time the modifications of mechanical dynamics provided by radiation
pressure. This paper reviews the consequences of back-action of light confined
in whispering-gallery dielectric micro-cavities, and presents a unified
treatment of its two manifestations: notably the parametric instability
(parametric amplification) and radiation pressure back-action cooling.
Parametric instability offers a novel "photonic clock" which is driven purely
by the pressure of light. In contrast, radiation pressure cooling can surpass
existing cryogenic technologies and offers cooling to phonon occupancies below
unity and provides a route towards cavity Quantum Optomechanics


title:
Cosmodynamics: Energy conditions, Hubble bounds, density bounds, time
  and distance bounds

abstract:
  We refine and extend a programme initiated by one of the current authors
[Science 276 (1997) 88; Phys. Rev. D56 (1997) 7578] advocating the use of the
classical energy conditions of general relativity in a cosmological setting to
place very general bounds on various cosmological parameters. We show how the
energy conditions can be used to bound the Hubble parameter H(z), Omega
parameter Omega(z), density rho(z), distance d(z), and lookback time T(z) as
(relatively) simple functions of the redshift z, present-epoch Hubble parameter
H_0, and present-epoch Omega parameter Omega_0. We compare these results with
related observations in the literature, and confront the bounds with the recent
supernova data.


title: James' Conjecture for Hecke algebras of exceptional type, I

abstract:
  In this paper, and a second part to follow, we complete the programme
(initiated more than 15 years ago) of determining the decomposition numbers and
verifying James' Conjecture for Iwahori--Hecke algebras of exceptional type.
The new ingredients which allow us to achieve this aim are:
  - the fact, recently proved by the first author, that all Hecke algebras of
finite type are cellular in the sense of Graham--Lehrer, and
  - the explicit determination of $W$-graphs for the irreducible (generic)
representations of Hecke algebras of type $E_7$ and $E_8$ by Howlett and Yin.
  Thus, we can reduce the problem of computing decomposition numbers to a
manageable size where standard techniques, e.g., Parker's {\sf MeatAxe} and its
variations, can be applied. In this part, we describe the theoretical
foundations for this procedure.


title: Unique Tournaments and Radar Tracking

abstract:
  The sequence counting the number of unique tournaments with n people is the
same as the sequence counting non-tracking binary strings corresponding to n-2
radar observations with the tracking rule "3 out of 5 with loss 2." This fact
allows us to build a bijection between unique tournaments and non-tracking
binary strings.


title: Primitive decompositions of Johnson graphs

abstract:
  A transitive decomposition of a graph is a partition of the edge set together
with a group of automorphisms which transitively permutes the parts. In this
paper we determine all transitive decompositions of the Johnson graphs such
that the group preserving the partition is arc-transitive and acts primitively
on the parts.


title: Multidomain lithium niobate microcantilever for smart biosensor

abstract:
  Fabrication of the bimorph lithium niobate cantilevers involves a micro
machining of a z-cut wafer to create a multidomain structure. After etching,
the bimorph ferroelectric cantilevers are fabricated at the locations near
interdomain walls. Cantilever vibrations are excited by rf voltage due to
piezoelectric effect in a ferroelectric chip, and optical detection is employed
to pickup the vibrations. The self-assembling layers of two different Silanes
are chemically deposited on the micro cantilevers. The layers are detected
independently by two methods including a low frequency shift of cantilever
natural vibrations, and Raman spectral lines from the Silane layers. Possible
applications include smart biosensors in a real time domain.


title:
Hurst exponent and prediction based on weak-form efficient market
  hypothesis of stock markets

abstract:
  We empirically investigated the relationships between the degree of
efficiency and the predictability in financial time-series data. The Hurst
exponent was used as the measurement of the degree of efficiency, and the hit
rate calculated from the nearest-neighbor prediction method was used for the
prediction of the directions of future price changes. We used 60 market indexes
of various countries. We empirically discovered that the relationship between
the degree of efficiency (the Hurst exponent) and the predictability (the hit
rate) is strongly positive. That is, a market index with a higher Hurst
exponent tends to have a higher hit rate. These results suggested that the
Hurst exponent is useful for predicting future price changes. Furthermore, we
also discovered that the Hurst exponent and the hit rate are useful as
standards that can distinguish emerging capital markets from mature capital
markets.


title: Bridge Number and Conway Products

abstract:
  Schubert proved that, given a composite link $K$ with summands $K_{1}$ and
$K_{2}$, the bridge number of $K$ satisfies the following equation:
$$\beta(K)=\beta(K_{1})+\beta(K_{2})-1.$$ In ``Conway Produts and Links with
Multiple Bridge Surfaces", Scharlemann and Tomova proved that, given links
$K_{1}$ and $K_{2}$, there is a Conway product $K_{1}\times_{c}K_{2}$ such that
$$\beta(K_{1}\times_{c} K_{2}) \leq \beta(K_{1}) + \beta(K_{2}) - 1$$ In this
paper, we define the generalized Conway product $K_{1}\ast_{c}K_{2}$ and prove
the lower bound $\beta(K_{1}\ast_{c}K_{2}) \geq \beta(K_{1})-1$ where $K_{1}$
is the distinguished factor of the generalized product. We go on to show this
lower bound is tight for an infinite class of links with arbitrarily high
bridge number.


title: Thermoelectric properties of LaRh$_{1-x}$Ni$_x$O$_3$

abstract:
  We report measurements and analyses of resistivity, thermopower, and thermal
conductivity of polycrystalline samples of perovskite LaRh$_{1-x}$Ni$_x$O$_3$.
The thermopower is found to be large at 800 K (185 $\mu$V/K for $x=$0.3), which
is ascribed to the high-temperature stability of the low-spin state of
Rh$^{3+}$/Rh$^{4+}$ ions. This clearly contrasts with the thermopower of the
isostructural oxide LaCoO$_3$, which rapidly decreases above 500 K owing to the
spin-state transition. The spin state of the transition-metal ions is one of
the most important parameters in oxide thermoelectrics.


title: Extension Theorems for Spheres in the Finite Field Setting

abstract:
  In this paper we study the boundedness of extension operators associated with
spheres in vector spaces over finite fields.In even dimensions, we estimate the
number of incidences between spheres and points in the translated set from a
subset of spheres. As a result, we improve the Tomas-Stein exponents, our
previous results. The analytic approach and the explicit formula for Fourier
transform of the characteristic function on spheres play an important role to
get good bounds for exponential sums.


title: Adiabatic Quantum Transport in a Spin Chain with a Moving Potential

abstract:
  Many schemes to realize quantum state transfer in spin chains are not robust
to random fluctuations in the spin-spin coupling strength. In efforts to
achieve robust quantum state transfer, an adiabatic quantum population transfer
scheme is proposed in this study. The proposed scheme makes use of a slowly
moving external parabolic potential and is qualitatively explained in terms of
the adiabatic following of a quantum state with a moving separatrix structure
in the classical phase space of a pendulum analogy. Detailed aspects of our
adiabatic population transfer scheme, including its robustness, is studied
computationally. Applications of our adiabatic scheme in quantum information
transfer are also discussed, with emphasis placed on the usage of a dual spin
chain to encode quantum phases. The results should also be useful for the
control of electron tunneling in an array of quantum dots.


title:
How many radio-loud quasars can be detected by the Gamma-Ray Large Area
  Space Telescope?

abstract:
  In the unification scheme, radio quasars and FR II radio galaxies come from
the same parent population, but viewed at different angles. Based on the
Comptonization models for the gamma-ray emission from active galactic nuclei
(AGNs), we estimate the number of radio quasars and FR II radio galaxies to be
detected by the Gamma-Ray Large Area Space Telescope (GLAST) using the
luminosity function (LF) of their parent population derived from the
flat-spectrum radio quasar (FSRQ) LF. We find that ~1200 radio quasars will be
detected by GLAST, if the soft seed photons for Comptonization come from the
regions outside the jets. We also consider the synchrotron self-Comptonization
(SSC) model, and find it unlikely to be responsible for gamma-ray emission from
radio quasars. We find that no FR II radio galaxies will be detected by GLAST.
Our results show that most radio AGNs to be detected by GLAST will be FSRQs
(~99 % for the external Comptonization model, EC model), while the remainder
(~1 %) will be steep-spectrum radio quasars (SSRQs). This implies that FSRQs
will still be good candidates for identifying gamma-ray AGNs even for the GLAST
sources. The contribution of all radio quasars and FR II radio galaxies to the
extragalactic gamma-ray background (EGRB) is calculated, which accounts for ~30
% of the EGRB.


title:
The Black Hole-Bulge Relationship in Luminous Broad-Line Active Galactic
  Nuclei and Host Galaxies

abstract:
  We have measured the stellar velocity dispersions (\sigma_*) and estimated
the central black hole (BH) masses for over 900 broad-line active galactic
nuclei (AGNs) observed with the Sloan Digital Sky Survey. The sample includes
objects which have redshifts up to z=0.452, high quality spectra, and host
galaxy spectra dominated by an early-type (bulge) component. The AGN and host
galaxy spectral components were decomposed using an eigenspectrum technique.
The BH masses (M_BH) were estimated from the AGN broad-line widths, and the
velocity dispersions were measured from the stellar absorption spectra of the
host galaxies. The range of black hole masses covered by the sample is
approximately 10^6 < M_BH < 10^9 M_Sun. The host galaxy luminosity-velocity
dispersion relationship follows the well-known Faber-Jackson relation for
early-type galaxies, with a power-law slope 4.33+-0.21. The estimated BH masses
are correlated with both the host luminosities (L_{H}) and the stellar velocity
dispersions (\sigma_*), similar to the relationships found for low-redshift,
bulge-dominated galaxies. The intrinsic scatter in the correlations are large
(~0.4 dex), but the very large sample size allows tight constraints to be
placed on the mean relationships: M_BH ~ L_H^{0.73+-0.05} and M_BH ~
\sigma_*^{3.34+-0.24}. The amplitude of the M_BH-\sigma_* relation depends on
the estimated Eddington ratio, such that objects with larger Eddington ratios
have smaller black hole masses than expected at a given velocity dispersion.


title: Cayley sum graphs and eigenvalues of $(3,6)$-fullerenes

abstract:
  We determine the spectra of cubic plane graphs whose faces have sizes 3 and
6. Such graphs, "(3,6)-fullerenes", have been studied by chemists who are
interested in their energy spectra. In particular we prove a conjecture of
Fowler, which asserts that all their eigenvalues come in pairs of the form
$\{\lambda,-\lambda\}$ except for the four eigenvalues $\{3,-1,-1,-1\}$. We
exhibit other families of graphs which are "spectrally nearly bipartite" in
this sense. Our proof utilizes a geometric representation to recognize the
algebraic structure of these graphs, which turn out to be examples of Cayley
sum graphs.


title: Superfluid density in gapless superconductor CeCoIn5

abstract:
  Temperature dependence of the London penetration depth $\lambda$ measured in
single crystals of CeCoIn$_5$ is interpreted as caused by a strong
pair-breaking scattering that makes the superconductivity in this compound
gapless. For a gapless d-wave superconductor, we derive
$\lambda=\lambda_0/\sqrt{1-(T/T_c)^2}$ caused by combined effect of magnetic
and non-magnetic scattering in excellent agreement with the data in the full
temperature range and with the gapless s-wave case of Abrikosov and Gor'kov. We
also obtain the slope of the upper critical field at $T_c$ that compares well
with the measured slope.


title: Strong lensing probability in TeVeS theory

abstract:
  We recalculate the strong lensing probability as a function of the image
separation in TeVeS (tensor-vector-scalar) cosmology, which is a relativistic
version of MOND (MOdified Newtonian Dynamics). The lens is modeled by the
Hernquist profile. We assume an open cosmology with $\Omega_b=0.04$ and
$\Omega_\Lambda=0.5$ and three different kinds of interpolating functions. Two
different galaxy stellar mass functions (GSMF) are adopted: PHJ
(Panter-Heavens-Jimenez, 2004) determined from SDSS data release one and
Fontana (Fontana et al., 2006) from GOODS-MUSIC catalog. We compare our results
with both the predicted probabilities for lenses by Singular Isothermal Sphere
(SIS) galaxy halos in LCDM (lambda cold dark matter) with Schechter-fit
velocity function, and the observational results of the well defined combined
sample of Cosmic Lens All-Sky Survey (CLASS) and Jodrell Bank/Very Large Array
Astrometric Survey (JVAS). It turns out that the interpolating function
$\mu(x)=x/(1+x)$ combined with Fontana GSMF matches the results from CLASS/JVAS
quite well.


title: Quantum Observables and a Model of Noncommutativity

abstract:
  This paper considers a generalization of the notion of quantum observables in
ontological models of quantum mechanics. Within this framework it is possible
to construct physical models where quantum noncommutativity can arise
dynamically. Unlike quantum systems, the basic entities in this model have
definite properties. Relations with no-go theorems and other hidden variable
theories are also discussed.


title:
Massive-Star Forming Infrared Loop around the Crab-like Supernova
  Remnant G54.1+0.3: Post Main-Sequence Triggered Star Formation?

abstract:
  We report the discovery of a star-forming loop around the young, Crab-like
supernova remnant (SNR) G54.1+0.3 using the AKARI infrared satellite. The loop
consists of at least eleven young stellar objects (YSOs) embedded in a
ring-like diffuse emission of radius ~1'. The YSOs are bright in the
mid-infrared and are also visible in the Spitzer Space Telescope Galactic plane
survey images. Their Spitzer colors are similar to those of class II YSOs in
[3.6]-[5.8] but significantly redder in [8]-[24], i.e., 0<[3.6]-[5.8]<1.2 and
5<[8]-[24]<9. Most of them have near-infrared counterparts in the 2MASS JHKs
images, and some of them have an optical counterpart too. Their JHKs colors and
magnitudes indicate that the YSOs are massive (<= 10 Msun) pre-main-sequence
stars at the same distance to the SNR, i.e., 8 kpc, which supports the
association of the star-forming loop with the SNR. The dereddened spectral
energy distributions are similar to eraly Herbig Be stars, which are early
B-type pre-main-sequence stars with inner disks that have been destroyed. The
confinement to a loop structure indicates that the YSOs are young, i.e., <= 2
Myr. We propose that their formation is triggered by the progenitor star of
G54.1+0.3, which has a mass of <= 15 Msun. The triggering must have occurred
near the end of the progenitor's life, possibly after it had evolved off the
main sequence.


title: A Problem of the QCD Axion in Supergravity

abstract:
  This paper has been withdrawn by the authors due to a crucial error in
equation 12.


title:
Disproof of ''Disproof of Bell's Theorem by Clifford Algebra Valued
  Local Variables''

abstract:
  Key mathematical and conceptual errors are pointed out regarding the paper
''Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables'' by
Joy Christian.


title:
Time Dependent Inelastic Emission and Capture of Localized Electrons in
  Si n-MOSFETs Under Microwave Irradiation

abstract:
  Microwave irradiation causes voltage fluctuations in solid state nanodevices.
Such an effect is relevant in atomic electronics and nanostructures for quantum
information processing, where charge or spin states are controlled by microwave
fields and electrically detected. Here the variation of the characteristic
times of the multiphonon capture and emission of a single electron by an
interface defect in submicron MOSFETs is calculated and measured as a function
of the microwave power, whose frequency of the voltage modulation is assumed to
be large if compared to the inverse of the characteristic times. The variation
of the characteristic times under microwave irradiation is quantitatively
predicted from the microwave frequency dependent stationary current generated
by the voltage fluctuations itself. The expected values agree with the
experimental measurements. The coupling between the microwave field and either
one or two terminals of the device is discussed. Some consequences on nanoscale
device technology are drawn.


title: Evaluations of multiple Dirichlet $L$-values via symmetric functions

abstract:
  We explicitly evaluate a special type of multiple Dirichlet $L$-values at
positive integers in two different ways: One approach involves using symmetric
functions, while the other involves using a generating function of the values.
Equating these two expressions, we derive several summation formulae involving
the Bernoulli and Euler numbers. Moreover, values at non-positive integers,
called central limit values, are also studied.


title:
Novel theoretical approach in photoemission spectroscopy: application to
  isotope effect and boron-doped diamond

abstract:
  A new path-integral theory is developed to calculate the photoemission
spectra (PES) of correlated many-electron systems. The application to the study
on Bi2Sr2CaCu2O8 (Bi2212) and boron-doped diamond (BDD) is discussed in
details. It is found that the isotopic shift in the angle-resolved
photoemission spectra of Bi2212 is due to the off-diagonal quadratic
electron-phonon (e-ph) coupling, whereas the presence of electron-electron
repulsion partially suppresses this effect. For the BDD, a semiconductor-metal
phase transition, which is induced by increasing the e-ph coupling and dopant
concentration, is reproduced by our theory. Additionally, the presence of Fermi
edge and phonon step-like structure in PES is found to be due to a co-existence
of itinerant and localized electronic states in BDD.


title: Examining the crossover from hadronic to partonic phase in QCD

abstract:
  It is argued that, due to the existence of two vacua -- perturbative and
physical -- in QCD, the mechanism for the crossover from hadronic to partonic
phase is hard to construct. The challenge is: how to realize the transition
between the two vacua during the gradual crossover of the two phases. A
possible solution of this problem is proposed and a mechanism for crossover,
consistent with the principle of QCD, is constructed. The essence of this
mechanism is the appearance and growing up of a kind of grape-shape
perturbative vacuum inside the physical one. A dynamical percolation model
based on a simple dynamics for the delocalization of partons is constructed to
exhibit this mechanism. The crossover from hadronic matter to sQGP as well as
the transition from sQGP to wQGP in the increasing of temperature is
successfully described by using this model with a temperature dependent
parameter.


title: Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices

abstract:
  Heat conduction in three-dimenisional nonlinear lattice models is studied
using nonequilibrium molecular dynamics simulations. We employ the FPU model,
in which there exists a nonlinearity in the interaction of biquadratic form. It
is confirmed that the thermal conductivity, the ratio of the energy flux to the
temperature gradient, diverges in systems up to 128x128x256 lattice sites. This
size corresponds to nanoscopic to mesoscopic scales of several tens of
nanometers. From these results, we conjecture that the energy transport in
insulators with perfect crystalline order exhibits anomalous behavior. The
effects of lattice structure, random impurities, and natural length in
interactions are also examined. We find that face-centered cubic (fcc) lattices
display stronger divergence than simple cubic lattices. When impurity sites of
infinitely large mass, which are hence fixed, are randomly distributed, such
divergence vanishes.


title: Passive Evolution of Galaxy Clustering

abstract:
  We present a numerical study of the evolution of galaxy clustering when
galaxies flow passively from high redshift, respecting the continuity equation
throughout. While passive flow is a special case of galaxy evolution, it allows
a well-defined study of galaxy ancestry and serves as an interesting limit to
be compared to non-passive cases. We use dissipationless N-body simulations,
assign galaxies to massive halos at z=1 and z=2 using various HOD models, and
trace these galaxy particles to lower redshift while conserving their number.
We find that passive flow results in an asymptotic convergence at low redshift
in the HOD and in galaxy clustering on scales above ~3Mpc/h for a wide range of
initial HODs. As galaxies become less biased with respect to mass
asymptotically with time, the HOD parameters evolve such that M1/Mm decreases
while alpha converges toward unity, where Mm is the characteristic halo mass to
host a central galaxy, M1 is the halo mass to host one satellite galaxy, and
alpha is the power-law index in the halo-mass dependence of the average number
of satellites per halo. The satellite populations converge toward the Poisson
distribution at low redshift. The convergence is robust for different number
densities and is enhanced when galaxies evolve from higher redshift. We compare
our results with the observed LRG sample from Sloan Digital Sky Survey that has
the same number density. We claim that if LRGs have experienced a strict
passive flow, their <N_g(M)> should be close to a power law with an index of
unity in halo mass. Discrepancies could be due to dry galaxy merging or new
members arising between the initial and the final redshifts. The spatial
distribution of passively flowing galaxies within halos appears on average more
concentrated than the halo mass profile at low redshift. (abridged)


title:
String Junction Model, Cluster Hypothesis, Penta-Quark Baryon and
  Tetra-Quark Meson

abstract:
  Thirty years ago we proposed string junction model of hadrons and examined
structure and reaction of hadrons including exotic ones. Mass $m$ of exotic
hadrons of light quarks is roughly given by $m \sim N_J\cdot m_B$, where $N_J$
is the total number of junctions and $m_B \sim 1$ GeV is the ordinary light
baryon mass. In this paper we introduce "cluster hypothesis" into the model by
which mass of a complex hadron is given by the sum of masses of clusters
composing it. The hypothesis guarantees the established picture that mass
differences of hadrons of the same string junction structure are due to those
of the constituent quarks. A candidate for penta-quark baryon $\Theta$(1530
MeV, $S=+1)$ including a strange anti-quark ${\sb}$ and that for tetra-quark
meson $Z^+$(4430 MeV) recently reported by the Bell collaboration are examined
in parallel. $\Theta $ is considered to have non-strange partners, which are
lighter by the mass difference $\Delta_s$ between strange and non-strange
quarks. Mass of such light penta-quark baryons with $N_J=3$ is expected to be
about 3 GeV. Several parameters of the model are estimated such as mass of
junction of $m_J \sim O(10)$ MeV. While mass of light tetra-quark meson with
$N_J=2$ is expected to be about 2 GeV, $Z^+$(4430 MeV) containing
$(u,c,{\db},{\cb})$ gives a clue to determine some parameters of the model,
e.g., inter-junction string energy $m_{IJ}$.


title:
New limits on spin-independent and spin-dependent couplings of low-mass
  WIMP dark matter with a germanium detector at a threshold of 220 eV

abstract:
  An energy threshold of (220+-10) eV was achieved at an efficiency of 50% with
a four-channel ultra-low-energy germanium detector each with an active mass of
5 g. This provides a unique probe to WIMP dark matter with mass below 10 GeV.
With a data acquisition live time of 0.338 kg-day at the Kuo-Sheng Laboratory,
constraints on WIMPs in the galactic halo were derived. The limits improve over
previous results on both the spin-independent WIMP-nucleon and the
spin-dependent WIMP-neutron cross-sections for WIMP mass between 3-6 GeV.
Sensitivities for full-scale experiments are projected. This detector technique
makes the unexplored sub-keV energy window accessible for new neutrino and dark
matter experiments. Two appendices are included after Version-3 to address
questions raised on trigger and selection efficiencies as well as other issues.


title:
The joint distribution of occupation times of skip-free Markov processes
  and a class of multivariate exponential distributions

abstract:
  For a skip-free Markov process on non-negative integers with generator matrix
Q, we evaluate the joint Laplace transform of the occupation times before
hitting the state n (starting at 0). This Laplace transform has a very
straightforward and familiar expression. We investigate the properties of this
Laplace transform, especially the conditions under which the occupation times
form a Markov chain.


title: Non-associativity, supersymmetry and hidden variables

abstract:
  It is shown that the supersymmetric quantum mechanics has an octonionic
generalization. The generalization is based on the inclusion of quaternions
into octonions. The elements from the coset octonions/quaternions are
unobservables bacause they cannot be considered as quantum operators as a
consequence of their non-associative properties. The idea that the octonionic
generalization of the supersymmetric quantum mechanics describes an observable
particle formed with unobservable ``particles'' is presented.

categories: quant-ph hep-ph hep-th math-ph math.MP math.RA


title: Causal Set Topology

abstract:
  The Causal Set Theory (CST) approach to quantum gravity is motivated by the
observation that, associated with any causal spacetime (M,g) is a poset (M,<),
with the order relation < corresponding to the spacetime causal relation.
Spacetime in CST is assumed to have a fundamental atomicity or discreteness,
and is replaced by a locally finite poset, the causal set. In order to obtain a
well defined continuum approximation, the causal set must possess the requisite
intrinsic topological and geometric properties that characterise a continuum
spacetime in the large. The continuum approximation thus sets the stage for the
study of topology in CST. We review the status of causal set topology and
present some new results relating poset and spacetime topologies. The hope is
that in the process, some of the ideas and questions arising from CST will be
made accessible to the larger community of computer scientists and
mathematicians working on posets.


title: Warp Drive: A New Approach

abstract:
  Certain classes of higher dimensional models suggest that the Casimir Effect
is a candidate for the cosmological constant. In this paper we demonstrate that
a sufficiently advanced civilization could, in principal, manipulate the radius
of the extra dimension to locally adjust the value of the cosmological
constant. This adjustment could be tuned to generate an expansion/contraction
of spacetime around a spacecraft creating an exotic form of field-propulsion.
Due to the fact that spacetime expansion itself is not restricted by
relativity, a faster-than-light 'warp drive' could be created. Calculations of
the energy requirements of such a drive are performed and an 'ultimate' speed
limit, based on the Planckian limits on the size of the extra dimensions is
found.


title: Gauge Invariant Action for the Open Bosonic String

abstract:
  The issue of space time gauge invariance for the bosonic string has been
earlier addressed using the loop variable formalism.
  In this paper the question of obtaining a gauge invariant action for the open
bosonic string is discussed. The derivative w.r.t $ln a$ (where $a$ is a world
sheet cutoff) of the partition function - which is first normalized by dividing
by the integral of the two point function of a marginal operator - is a
candidate for the action. Applied to the zero-momentum tachyon it gives a
tachyon potential that is similar to those that have been obtained using
Witten's background independent formalism. This procedure is easily made gauge
invariant in the loop variable formalism by replacing $ln a$ by $\Sigma$ which
is the generalization of the Liouville mode that occurs in this formalism. We
also describe a method of resumming the Taylor expansion that is done in the
loop variable formalism. This allows one to see the pole structure of string
amplitudes that would not be visible in the original loop variable formalism.


title: An Introduction to Bundle Gerbes

abstract:
  An introduction to the theory of bundle gerbes and their relationship to
Hitchin-Chatterjee gerbes is presented. Topics covered are connective
structures, triviality and stable isomorphism as well as examples and
applications.


title:
Comment on "Drip Paintings and Fractal Analysis", arXiv:0710.4917v2, by
  K. Jones-Smith, H. Mathur and L.M. Krauss

abstract:
  In a recent manuscript (arXiv:0710.4917v2), Jones-Smith et al. attempt to use
the well-established box-counting technique for fractal analysis to
"demonstrate conclusively that fractal criteria are not useful for
authentication". Here, in response to what we view to be an extremely
simplistic misrepresentation of our earlier work by Jones-Smith et al., we
reiterate our position regarding the potential of fractal analysis for artwork
authentication. We also point out some of the flaws in the analysis presented
in by Jones-Smith et al.


title: Galois extensions ramified only at one prime

abstract:
  This paper gives some restrictions on finite groups that can occur as Galois
groups of extensions over $\Q$ and over $\F_q(t)$ ramified only at one finite
prime. Over $\Q$, we strengthen results of Jensen and Yui about dihedral
extensions and rule out some non-solvable groups. Over $\F_q(t)$ restrictions
are given for symmetric groups and dihedral groups to occur as tamely ramified
extension over $\F_q(t)$ ramified only at one prime.


title:
Smoothing $\ell_1$-penalized estimators for high-dimensional time-course
  data

abstract:
  When a series of (related) linear models has to be estimated it is often
appropriate to combine the different data-sets to construct more efficient
estimators. We use $\ell_1$-penalized estimators like the Lasso or the Adaptive
Lasso which can simultaneously do parameter estimation and model selection. We
show that for a time-course of high-dimensional linear models the convergence
rates of the Lasso and of the Adaptive Lasso can be improved by combining the
different time-points in a suitable way. Moreover, the Adaptive Lasso still
enjoys oracle properties and consistent variable selection. The finite sample
properties of the proposed methods are illustrated on simulated data and on a
real problem of motif finding in DNA sequences.


title: Virtual Laboratories and Virtual Worlds

abstract:
  Since we cannot put stars in a laboratory, astrophysicists had to wait till
the invention of computers before becoming laboratory scientists. For half a
century now, we have been conducting experiments in our virtual laboratories.
However, we ourselves have remained behind the keyboard, with the screen of the
monitor separating us from the world we are simulating. Recently, 3D on-line
technology, developed first for games but now deployed in virtual worlds like
Second Life, is beginning to make it possible for astrophysicists to enter
their virtual labs themselves, in virtual form as avatars. This has several
advantages, from new possibilities to explore the results of the simulations to
a shared presence in a virtual lab with remote collaborators on different
continents. I will report my experiences with the use of Qwaq Forums, a virtual
world developed by a new company (see http://www.qwaq.com)


title: Special Values of Generalized Polylogarithms

abstract:
  We study values of generalized polylogarithms at various points and
relationships among them. Polylogarithms of small weight at the points 1/2 and
-1 are completely investigated. We formulate a conjecture about the structure
of the linear space generated by values of generalized polylogarithms.


title:
Entangling the ro-vibrational modes of a macroscopic mirror using
  radiation pressure

abstract:
  We consider the dynamics of a vibrating and rotating end-mirror of an optical
Fabry-P{\'erot} cavity that can sustain Laguerre-Gaussian modes. We demonstrate
theoretically that since the intra-cavity field carries linear as well as
angular momentum, radiation pressure can create bipartite entanglement between
a vibrational and a rotational mode of the mirror. Further we show that the
ratio of vibrational and rotational couplings with the radiation field can
easily be adjusted experimentally, which makes the generation and detection of
entanglement robust to uncertainties in the cavity manufacture. This
constitutes the first proposal to demonstrate entanglement between two
qualitatively different degrees of freedom of the same macroscopic object.


title: Program algebra with a jump-shift instruction

abstract:
  We study sequential programs that are instruction sequences with jump-shift
instructions in the setting of PGA (ProGram Algebra). Jump-shift instructions
preceding a jump instruction increase the position to jump to. The jump-shift
instruction is not found in programming practice. Its merit is that the
expressive power of PGA extended with the jump-shift instruction, is not
reduced if the reach of jump instructions is bounded. This is used to show that
there exists a finite-state execution mechanism that by making use of a counter
can produce each finite-state thread from some program that is a finite or
periodic infinite sequence of instructions from a finite set.


title:
Non-linear and Linear Broadcasting with QoS Requirements: Tractable
  Approaches for Bounded Channel Uncertainties

abstract:
  We consider the downlink of a cellular system in which the base station
employs multiple transmit antennas, each receiver has a single antenna, and the
users specify. We consider communication schemes in which the users have
certain Quality of Service (QoS) requirements. We study the design of robust
broadcasting schemes that minimize the transmission power necessary to
guarantee that the QoS requirements are satisfied for all channels within
bounded uncertainty regions around the transmitter's estimate of each user's
channel. Each user's QoS requirement is formulated as a constraint on the mean
square error (MSE) in its received signal, and we show that these MSE
constraints imply constraints on the received SINR. Using the MSE constraints,
we present a unified design approach for robust linear and non-linear
transceivers with QoS requirements. The proposed designs overcome the
limitations of existing approaches that provide conservative designs or are
only applicable to the case of linear precoding. Furthermore, we provide
computationally-efficient design formulations for a rather general model of
channel uncertainty that subsumes many natural choices for the uncertainty
region. We also consider the problem of the robust counterpart to precoding
schemes that maximize the fidelity of the weakest user's signal subject to a
power constraint. For this problem, we provide quasi-convex formulations, for
both linear and non-linear transceivers, that can be efficiently solved using a
one-dimensional bisection search. Our numerical results demonstrate that in the
presence of CSI uncertainty, the proposed designs provide guarantees for a
larger range of QoS requirements than the existing approaches, and consume
require less transmission power in providing these guarantees.


title:
Low-lying excitations at the rare-earth site due to rattling motion in
  the filled skutterudite LaOs_4Sb_{12} revealed by ^{139}La NMR and
  ^{121/123}Sb NQR

abstract:
  We report experimental results of nuclear magnetic resonance (NMR) at the La
site and nuclear quadrupole resonance (NQR) at the Sb site in the filled
skutterudite LaOs$_4$Sb$_{12}$. We found that the nuclear spin-lattice
relaxation rate divided by temperature $1/T_1T$ at the La site exhibits a
different temperature dependence from that at the Sb site. Although $1/T_1T$ at
the Sb site is explained by the Korringa mechanism, $1/T_1T$ at the La site
exhibits a broad maximum around 50 K, showing the presence of an additional
contribution at the La site. The additional low-lying excitations observed at
the La site can be understood with the relaxation from anharmonic phonons due
to the rattling motion of the La atoms.


title:
Entanglement of distant flux qubits mediated by non-classical
  electromagnetic field

abstract:
  The mechanism for entanglement of two flux qubits each interacting with a
single mode electromagnetic field is discussed. By performing a Bell state
measurements (BSM) on photons we find the two qubits in an entangled state
depending on the system parameters. We discuss the results for two initial
states and take into consideration the influence of decoherence.


title: Link Scheduling in STDMA Wireless Networks: A Line Graph Approach

abstract:
  We consider point to point link scheduling in Spatial Time Division Multiple
Access (STDMA) wireless networks under the physical interference model. We
propose a novel link scheduling algorithm based on a line graph representation
of the network, by embedding the interferences between pairs of nodes into the
edge weights of the line graph. Our algorithm achieves lower schedule length
and lower run time complexity than existing algorithms.


title:
Efficient blind search: Optimal power of detection under computational
  cost constraints

abstract:
  Some astronomy projects require a blind search through a vast number of
hypotheses to detect objects of interest. The number of hypotheses to test can
be in the billions. A naive blind search over every single hypothesis would be
far too costly computationally. We propose a hierarchical scheme for blind
search, using various "resolution" levels. At lower resolution levels,
"regions" of interest in the search space are singled out with a low
computational cost. These regions are refined at intermediate resolution levels
and only the most promising candidates are finally tested at the original fine
resolution. The optimal search strategy is found by dynamic programming. We
demonstrate the procedure for pulsar search from satellite gamma-ray
observations and show that the power of the naive blind search can almost be
matched with the hierarchical scheme while reducing the computational burden by
more than three orders of magnitude.


title:
Direct Measurements of the Branching Fractions for Inclusive $K^\pm$ and
  Inclusive Semileptonic Decays of $D^+$ and $D^0$ Mesons

abstract:
  With singly-tagged $\bar D$ samples selected from the data collected at and
around 3.773 GeV with the BESII detector at the BEPC collider, we have measured
the branching fractions for the inclusive $K^\pm$ decays of $D^+$ and $D^0$
mesons, which are $BF(D^+\to K^-X) = (24.7 \pm 1.3 \pm 1.2)%$, $BF(D^+\to K^+X)
= (6.1 \pm 0.9 \pm 0.4) %$, $BF(D^0\to K^-X) = (57.8 \pm 1.6 \pm 3.2) %$ and
$BF(D^0\to K^+X) = (3.5 \pm 0.7 \pm 0.3) %$, respectively. We have also
measured the branching fractions for the inclusive semileptonic decays of $D^+$
and $D^0$ mesons to be $BF(D^+ \to e^+ X)=(15.2 \pm 0.9 \pm 0.8)%$ and $BF(D^0
\to e^+ X) =(6.3 \pm 0.7 \pm 0.4) %$. These yield the ratio of their partial
widths to be $\Gamma(D^+ \to e^+X)/\Gamma(D^0 \to e^+X)=0.95 \pm 0.12 \pm
0.07$.


title:
On the constant in the Mertens product for arithmetic progressions. II.
  Numerical values

abstract:
  We give explicit numerical values with 100 decimal digits for the constant in
the Mertens product over primes in the arithmetic progressions $a \bmod q$, for
$q \in \{3$, ..., $100\}$ and $(a, q) = 1$.


title: On canonical variables in integrable models of magnets

abstract:
  Three integrable models - the deformed Heisenberg, Landau - Lifschits and
Ishimori magnets are written in terms of the stereographic projection. The
Hamiltonians of these models are obtained and certain questions related to the
existence of exact solutions are studied. In particular, the stability of
solitions is studied for the Heisenberg marnet, simplest stationary solutions
are obtained for the Landau - Lifschits magnet, and Hamiltonians and
topological charges are calculated for several known solutions of the Ishimori
model


title: Challenges for creating magnetic fields by cosmic defects

abstract:
  We analyse the possibility that topological defects can act as a source of
magnetic fields through the Harrison mechanism in the radiation era. We give a
detailed relativistic derivation of the Harrison mechanism at first order in
cosmological perturbations, and show that it is only efficient for temperatures
above T ~ 0.2 keV. Our main result is that the vector metric perturbations
generated by the defects cannot induce vorticity in the matter fluids at linear
order, thereby excluding the production of currents and magnetic fields. We
show that anisotropic stress in the matter fluids is required to source
vorticity and magnetic fields. Our analysis is relevant for any mechanism
whereby vorticity is meant to be transferred purely by gravitational
interactions, and thus would also apply to dark matter or neutrinos.


title: Imaging the Gamma-Ray Sky with SPI aboard INTEGRAL

abstract:
  The spectrometer SPI on INTEGRAL allows for the first time simultaneous
imaging of diffuse and point-like emission in the hard X-ray and soft gamma-ray
regime. To fully exploit the capabilities of the instrument, we implemented the
MREM image deconvolution algorithm, initially developed for COMPTEL data
analysis, to SPI data analysis. We present the performances of the algorithm by
means of simulations and apply it to data accumulated during the first 2
mission years of INTEGRAL. Skymaps are presented for the 1809 keV gamma-ray
line, attributed to the radioactive decay of 26Al, and for continuum energy
bands, covering the range 20 keV - 3 MeV. The 1809 keV map indicates that
emission is clearly detected by SPI from the inner Galactic radian and from the
Cygnus region. The continuum maps reveal the transition between a point-source
dominated hard X-ray sky to a diffuse emission dominated soft gamma-ray sky.
From the skymaps, we extract a Galactic ridge emission spectrum that matches
well SPI results obtained by model fitting. By comparing our spectrum with the
cumulative flux measured by IBIS from point sources, we find indications for
the existence of an unresolved or diffuse emission component above ~100 keV.


title:
Comparison of some solution concepts for linear first-order hyperbolic
  differential equations with non-smooth coefficients

abstract:
  We discuss solution concepts for linear hyperbolic equations with
coefficients of regularity below Lipschitz continuity. Thereby our focus is on
theories which are based either on a generalization of the method of
characteristics or on refined techniques concerning energy estimates. We
provide a series of examples both as simple illustrations of the notions and
conditions involved but also to show logical independence among the concepts.


title: Field theory amplitudes in a space with SU(2) fuzziness

abstract:
  The structure of transition amplitudes in field theory in a three-dimensional
space whose spatial coordinates are noncommutative and satisfy the SU(2) Lie
algebra commutation relations is examined. In particular, the basic notions for
constructing the observables of the theory as well as subtleties related to the
proper treatment of $\delta$ distributions (corresponding to conservation laws)
are introduced. Explicit examples are given for scalar field theory amplitudes
in the lowest order of perturbation.


title:
Saturation of Transverse Energy per Charged Hadron and Freeze-Out
  Criteria in Heavy-Ion Collisions

abstract:
  For beam energies from SPS to RHIC, the transverse energy per charged
particle, $E_T/N_{\textrm{ch}}$, saturates at a value of approximately 0.8 GeV.
A direct connection between this value and the freeze-out criterium $E/N
\approx 1$ GeV for the primordial energy and particle number in the hadronic
resonance gas model is established.


title: 0.7-anomaly and magnetotransport of disordered quantum wires

abstract:
  The unexpected "0.7" plateau of conductance quantisation is usually observed
for ballistic one-dimensional devices. In this work we study a quasi-ballistic
quantum wire, for which the disorder induced backscattering reduces the
conductance quantisation steps. We find that the transmission probability
resonances coexist with the anomalous plateau. The studies of these resonances
as a function of the in-plane magnetic field and electron density point to the
presence of spin polarisation at low carrier concentrations and constitute a
method for the determination of the effective g-factor suitable for disordered
quantum wires.


title: Estimation in a class of nonlinear heteroscedastic time series models

abstract:
  Parameter estimation in a class of heteroscedastic time series models is
investigated. The existence of conditional least-squares and conditional
likelihood estimators is proved. Their consistency and their asymptotic
normality are established. Kernel estimators of the noise's density and its
derivatives are defined and shown to be uniformly consistent. A simulation
experiment conducted shows that the estimators perform well for large sample
size.


title: On quantum cosmology as field theory of bosonic string mass groundstate

abstract:
  The Quantum Cosmology can be understand as the theory of an one object that
is the Universe described in terms of fundamental mass groundstate of the free
boson string, that is a tachyon - a hypothetical particle with negative mass
square, which has linear velocity more than the velocity of light c. From this
fact it is clear that whole information about physics of our Universe is
focused on studying of this untypical particle physics. In this paper this
point of view is touched up on. As the general-relativistic model of our
Universe we study the Einstein-Friedmann Spacetime. Firstly, the way of
canonical quantization beginning from first quantization of the Dirac
Hamiltonian constraints up to the second quantization by the Von
Neumann-Araki-Woods quantization in the Fock space is briefly discussed. We
show that using of the Bogoliubov-Heinsenberg static operator basis leads to
formulation of the second quantization of the considered free boson string in
terms of the monodromy in the Fock space. Finally, we propose some specific
model of the Universe - the extremal tachyon mass model, and in frames of its
the Hubble evolution parameter, the equation of state for Dark Matter in the
Universe, and the temperature of our Universe are concluded.

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


title:
Effect of confinement potential shape on exchange interaction in coupled
  quantum dots

abstract:
  Exchange interaction has been studied for electrons in coupled quantum dots
(QD's) by a configuration interaction method using confinement potentials with
different profiles. The confinement potential has been parametrized by a
two-centre power-exponential function, which allows us to investigate various
types of QD's described by either soft or hard potentials of different range.
For the soft (Gaussian) confinement potential the exchange energy decreases
with increasing interdot distance due to the decreasing interdot tunnelling.
For the hard (rectangular-like) confinement potential we have found a
non-monotonic behaviour of the exchange interaction as a function of distance
between the confinement potential centres. In this case, the exchange
interaction energy exhibits a pronounced maximum for the confinement potential
profile which corresponds to the nanostructure composed of the small inner QD
with a deep potential well embedded in the large outer QD with a shallow
potential well. This effect results from the strong localization of electrons
in the inner QD, which leads to the large singlet-triplet splitting.
Implications of this finding for quantum logic operations have been discussed.


title:
NNLO QCD corrections to the m_c dependent matrix elements in B -> X_s
  gamma

abstract:
  Recent developements in the calculation of the NNLO QCD corrections to the
charm quark mass dependent matrix elements in B -> X_s gamma are reported.
Special emphasis is put on the new results of the virtual O(alpha_s^2)
fermionic contribution to these matrix elements [1].


title: Quasi-relativistic behavior of cold atoms in light fields

abstract:
  We study the influence of three laser beams on the center of mass motion of
cold atoms with internal energy levels in a tripod configuration. We show that
similar to electrons in graphene the atomic motion can be equivalent to the
dynamics of ultra-relativistic two-component Dirac fermions. We propose and
analyze an experimental setup for observing such a quasi-relativistic motion of
ultracold atoms. We demonstrate that the atoms can experience negative
refraction and focussing by Veselago-type lenses. We also show how the chiral
nature of the atomic motion manifests itself as an oscillation of the atomic
internal state population which depends strongly on the direction of the center
of mass motion. For certain directions an atom remains in its initial state,
whereas for other directions the populations undergo oscillations between a
pair of internal states.


title:
Description of the dynamics of a random chain with rigid constraints in
  the path integral framework

abstract:
  In this work we discuss the dynamics of a three dimensional chain which is
described by generalized nonlinear sigma model The formula of the probability
distribution of two topologically entangled chain is provided. The interesting
case of a chain which can form only discrete angles with respect to the
$z-$axis is also presented.


title: Semiclassical Analysis for Hartree equation

abstract:
  We justify WKB analysis for Hartree equation in space dimension at least
three, in a regime which is supercritical as far as semiclassical analysis is
concerned. The main technical remark is that the nonlinear Hartree term can be
considered as a semilinear perturbation. This is in contrast with the case of
the nonlinear Schrodinger equation with a local nonlinearity, where quasilinear
analysis is needed to treat the nonlinearity.


title: Diamond-$\alpha$ Jensen's Inequality on Time Scales

abstract:
  The theory and applications of dynamic derivatives on time scales has
recently received considerable attention. The primary purpose of this paper is
to give basic properties of diamond-$\alpha$ derivatives which are a linear
combination of delta and nabla dynamic derivatives on time scales. We prove a
generalized version of Jensen's inequality on time scales via the
diamond-$\alpha$ integral and present some corollaries, including H\"{o}lder's
and Minkowski's diamond-$\alpha$ integral inequalities.


title:
Reply to the comment on "Stochastic local operations and classical
  communication invariant and the residual entanglement for n qubits"

abstract:
  We have reviewed the comment in [3], posted on arXiv.org concerning our
recent work in [1]. We reply to the comment in this paper.


title: Lemma Poincar\'e for L_infty,loc - forms

abstract:
  We show that every closed L_infty,loc - form on R^n is exact. Differential is
understood in the sense of currents. The proof does not use any explicit
geometric constructions. De Rham theorem follows.


title: Diffusion at the liquid-vapor interface

abstract:
  Recently, the intrinsic sampling method has been developed in order to
obtain, from molecular simulations, the intrinsic structure of the liquid-vapor
interface that is presupposed in the classical capillary wave theory. Our
purpose here is to study dynamical processes at the liquid-vapor interface,
since this method allows tracking down and analyzing the movement of surface
molecules, thus providing, with great accuracy, dynamical information on
molecules that are "at" the interface. We present results for the coefficients
for diffusion parallel and perpendicular to the liquid-vapor interface of the
Lennard-Jones fluid, as well as other time and length parameters that
characterize the diffusion process in this system. We also obtain statistics of
permanence and residence time. The generality of our results is tested by
varying the system size and the temperature; for the later case, an existing
model for alkali metals is also considered. Our main conclusion is that, even
if diffusion coefficients can still be computed, the turnover processes, by
which molecules enter and leave the intrinsic surface, are as important as
diffusion. For example, the typical time required for a molecule to traverse a
molecular diameter is very similar to its residence time at the surface.


title: Random Cluster Tessellations

abstract:
  This article describes, in elementary terms, a generic approach to produce
discrete random tilings and similar random structures by using point process
theory. The standard Voronoi and Delone tilings can be constructed in this way.
For this purpose, convex polytopes are replaced by their vertex sets. Three
explicit constructions are given to illustrate the concept.


title:
Unified Model for Small-t and High-t Scattering at High Energies:
  Predictions at RHIC and LHC

abstract:
  The urgency of predictions in large-t region at LHC stimulated us to present
a unified model of small and high t scattering at high energies. Our model is
based upon a safe theoretical ground: analyticity, unitarity, Regge behavior,
gluon exchange and saturation of bounds established in axiomatic quantum field
theory. We make precise predictions for the behavior of the differential cross
sections at high t, the evolution of the dip-shoulder structure localized in
the region of -t between 0.5 and 0.8 GeV**2 and the radical violation of the
exponential behavior of the first diffraction cone at small t.


title: Local tail bounds for functions of independent random variables

abstract:
  It is shown that functions defined on $\{0,1,...,r-1\}^n$ satisfying certain
conditions of bounded differences that guarantee sub-Gaussian tail behavior
also satisfy a much stronger ``local'' sub-Gaussian property. For self-bounding
and configuration functions we derive analogous locally subexponential
behavior. The key tool is Talagrand's [Ann. Probab. 22 (1994) 1576--1587]
variance inequality for functions defined on the binary hypercube which we
extend to functions of uniformly distributed random variables defined on
$\{0,1,...,r-1\}^n$ for $r\ge2$.


title: A current-voltage model for Schottky-barrier graphene based transistors

abstract:
  A low complexity computational model of the current-voltage characteristics
for graphene nano-ribbon (GNR) field effect transistors (FET), able to simulate
a hundred of points in few seconds using a PC, is presented. For quantum
capacitance controlled devices, self-consistent calculations of the
electrostatic potential can be skipped. Instead, analytical closed-form
electrostatic potential from Laplace's equation yields accurate results
compared with that obtained by self-consistent Non-Equilibrium Green's
Functions (NEGF) method. The model includes both tunnelling current through the
Schottky barrier (SB) at the contact interfaces and thermionic current above
the barrier, properly capturing the effect of arbitrary physical and electrical
parameters.


title: A solution of the cusp problem in relaxed halos of dark matter

abstract:
  We propose a solution of the cusp problem in framework of the standard
$\Lambda$CDM cosmology. To do this we describe the linear and nonlinear periods
of halo formation by the entropy function of dark matter particles. This
approach allows us to take into account together the impact of both the
processes of nonlinear relaxation of compressed matter and the small scale
initial velocity perturbations in collapsed halos. We show that such random
velocities lead to the random variations of the density profile of relaxed
halos. As a rule, they suppress the formation of cusp--like halos and favor the
creation of core--like ones. This approach allows us to reproduce observed
rotation curves, to explain their random scatter and deviations from simulated
ones.


title: A Search for Synchrotron X-ray Emission in Radio Quasars

abstract:
  This paper presents XMM-Newton and Chandra X-ray spectroscopy of ten
flat-spectrum radio quasars (FSRQ) which are candidates to have an X-ray
spectrum dominated by jet synchrotron emission. In all these FSRQ, which are
less strongly relativistically beamed than blazars, a considerable contribution
from a power-law component similar to that present in radio-quiet quasars is
required to explain the observed X-ray fluxes and X-ray spectral slopes. And as
in radio-quiet quasars, their relatively high optical/UV fluxes can be
accounted for by a significant contribution from thermal accretion disk
emission. The lack of success in finding radio quasars with synchrotron X-rays
is attributed to the adopted selection criteria, which were based on the
multiwavelength flux ratios of BL Lacertae (BL Lac) objects. A refined
selection technique, which additionally involves radio imaging, is proposed to
search for these important candidates for the Gamma Ray Large Area Space
Telescope (GLAST). On the other hand, the discovered FSRQ with their strong
accretion disk signatures are expected to be important probes for studies of
the poorly known accretion disk - jet connection.


title: Random graph models of communication network topologies

abstract:
  We consider a variant of so called power-law random graph. A sequence of
expected degrees corresponds to a power-law degree distribution with finite
mean and infinite variance. In previous works the asymptotic picture with
number of nodes limiting to infinity has been considered. It was found that an
interesting structure appears. It has resemblance with such graphs like the
Internet graph. Some simulations have shown that a finite sized variant has
similar properties as well. Here we investigate this case in more analytical
fashion, and, with help of some simple lower bounds for large valued
expectations of relevant random variables, we can shed some light into this
issue. A new term, 'communication range random graph' is introduced to
emphasize that some further restrictions are needed to have a relevant random
graph model for a reasonable sized communication network, like the Internet. In
this case a pleasant model is obtained, giving the opportunity to understand
such networks on an intuitive level. This would be beneficial in order to
understand, say, how a particular routing works in such networks.


title: Hints of a New Spectroscopy

abstract:
  There are several reasons to believe that some of the new particles observed
at B-factories have no ordinary quark composition. We briefly illustrate the
diquark-antidiquark model and the recent experimental discoveries which confirm
some of its most striking predictions.


title: Approximating Data with weighted smoothing Splines

abstract:
  Given a data set (t_i, y_i), i=1,..., n with the t_i in [0,1] non-parametric
regression is concerned with the problem of specifying a suitable function
f_n:[0,1] -> R such that the data can be reasonably approximated by the points
(t_i, f_n(t_i)), i=1,..., n. If a data set exhibits large variations in local
behaviour, for example large peaks as in spectroscopy data, then the method
must be able to adapt to the local changes in smoothness. Whilst many methods
are able to accomplish this they are less successful at adapting derivatives.
In this paper we show how the goal of local adaptivity of the function and its
first and second derivatives can be attained in a simple manner using weighted
smoothing splines. A residual based concept of approximation is used which
forces local adaptivity of the regression function together with a global
regularization which makes the function as smooth as possible subject to the
approximation constraints.


title: Correlation Kernels for Discrete Symplectic and Orthogonal Ensembles

abstract:
  H. Widom derived formulae expressing correlation functions of orthogonal and
symplectic ensembles of random matrices in terms of orthogonal polynomials (H.
Widom. J. Stat. Phys. 94, (1999) 347-363). We obtain similar results for
discrete ensembles whose weights have rational discrete logarithmic
derivatives, and compute explicitly correlation kernels associated to the
classical Meixner and Charlier orthogonal polynomials.


title:
Coordinate transformation makes perfect invisibility cloak with
  arbitrary shape

abstract:
  By investigating wave properties at cloak boundaries, invisibility cloaks
with arbitrary shape constructed by general coordinate transformations are
confirmed to be perfectly invisible to the external incident wave. The
differences between line transformed cloaks and point transformed cloaks are
discussed. The fields in the cloak medium are found analytically to be related
to the fields in the original space via coordinate transformation functions. At
the exterior boundary of the cloak, it is shown that no reflection is excited
even though the permittivity and permeability do not always have a perfect
matched layer form. While at the inner boundary, no reflection is excited
either, and in particular no field can penetrate into the cloaked region.
However, for the inner boundary of any line transformed cloak, the permittivity
and permeability in a specific tangential direction are always required to be
infinitely large. Furthermore, the field discontinuity at the inner boundary
always exists; the surface current is induced to make this discontinuity
self-consistent. For a point transformed cloak, it does not experience such
problems. The tangential fields at the inner boundary are all zero, implying no
field discontinuity exists


title: Evaluation of Biot-Savart integrals on tetrahedral meshes

abstract:
  An arithmetically simple method has been developed for the evaluation of
Biot--Savart integrals on tetrahedralized distributions of vorticity. In place
of the usual approach of analytical formulae for the velocity induced by a
linear distribution of vorticity on a tetrahedron, the integration is performed
using Gaussian quadrature and a ray tracing technique from computer graphics.
This eliminates completely the need for the evaluation of square roots,
logarithms and arc tangents, and almost completely eliminates the requirement
for trigonometric functions, with no operation more costly than a division
required during the main calculation loop. An assessment of the algorithm's
performance is presented, demonstrating its accuracy, second order convergence
and near-linear speedup on parallel systems.


title:
Mott-Hubbard Transition of Bosons in Optical Lattices with Three-body
  Interactions

abstract:
  In this paper, the quantum phase transition between superfluid state and
Mott-insulator state is studied based on an extended Bose-Hubbard model with
two- and three-body on-site interactions. By employing the mean-field
approximation we find the extension of the insulating 'lobes' and the existence
of a fixed point in three dimensional phase space. We investigate the link
between experimental parameters and theoretical variables. The possibility to
obverse our results through some experimental effects in optically trapped
Bose-Einstein Condensates(BEC) is also discussed.


title: Bolometric Correction of the roAp star $\alpha$ Cir

abstract:
  For the first time, the bolometric correction of $\alpha$ Cir was determined.
Two values, both based on an estimation of the total integrated flux, were
obtained. For that purpose spectroscopic and photometric data of $\alpha$ Cir
available in the literature was used. The values derived were then used to
place $\alpha$ Cir in the HR diagram.


title: PAC-Bayesian Bounds for Randomized Empirical Risk Minimizers

abstract:
  The aim of this paper is to generalize the PAC-Bayesian theorems proved by
Catoni in the classification setting to more general problems of statistical
inference. We show how to control the deviations of the risk of randomized
estimators. A particular attention is paid to randomized estimators drawn in a
small neighborhood of classical estimators, whose study leads to control the
risk of the latter. These results allow to bound the risk of very general
estimation procedures, as well as to perform model selection.


title:
Numerical quadratures for near-singular and near-hypersingular integrals
  in boundary element methods

abstract:
  A method of deriving quadrature rules has been developed which gives nodes
and weights for a Gaussian-type rule which integrates functions of the form:
f(x,y,t) = a(x,y,t)/((x-t)^2+y^2) + b(x,y,t)/([(x-t)^2+y^2]^{1/2}) +
c(x,y,t)\log[(x-t)^2+y^2]^{1/2} + d(x,y,t), without having to explicitly
analyze the singularities of $f(x,y,t)$ or separate it into its components. The
method extends previous work on a similar technique for the evaluation of
Cauchy principal value or Hadamard finite part integrals, in the case when
$y\equiv0$. The method is tested by evaluating standard reference integrals and
its error is found to be comparable to machine precision in the best case.


title: Light Scattering on Random Dielectric Layers

abstract:
  Scattering of light by a random stack of dielectric layers represents a
one-dimensional scattering problem, where the scattered field is a
three-dimensional vector field. We investigate the dependence of the scattering
properties (band gaps and Anderson localization) on the wavelength, strength of
randomness and relative angle of the incident wave. There is a characteristic
angular dependence of Anderson localization for wavelengths close to the
thickness of the layers. In particular, the localization length varies
non-monotonously with the angle. In contrast to Anderson localization,
absorptive layers do not have this characteristic angular dependence.


title:
2D radiative modelling of He I spectral lines formed in solar
  prominences

abstract:
  We present preliminary results of 2D radiative modelling of He I lines in
solar prominences, using a new numerical code developed by us (Leger,
Chevallier and Paletou 2007). It treats self-consistently the radiation
transfer and the non-LTE statistical equilibrium of H and, in a second stage,
the one of He using a detailed atomic model. Preliminary comparisons with new
visible plus near-infrared observations made at high spectral resolution with
THeMIS are very satisfactory.


title: Soliton solutions in relativistic field theories and gravitation

abstract:
  We report on some recent results on a class of relativistic lagrangian field
theories supporting non-topological soliton solutions and their applications in
the contexts of Gravitation and Cosmology. We analyze one and many-components
scalar fields and gauge fields.


title: Structural distortion and the spin liquid state in Tb2Ti2O7

abstract:
  It is shown that a k=0, A_{2u} distortion of the terbium tetrahedral network
in Tb2Ti2O7 accounts for the apparent isolation of single tetrahedra as seen in
neutron scattering studies. Single tetrahedron collective spin states, rather
than individual spins, account for the main features of the spin liquid state,
namely, fluctuating local moments and the absence of long range order. Singlet
and doublet collective spin ground states are considered. An effective
interaction between tetrahedra on the fcc lattice is derived and found to be
weak and anisotropic.


title: Symmetry and spin dephasing in (110)-grown quantum wells

abstract:
  Symmetry and spin dephasing of in (110)-grown GaAs quantum wells (QWs) are
investigated applying magnetic field induced photogalvanic effect (MPGE) and
time-resolved Kerr rotation. We show that MPGE provides a tool to probe the
symmetry of (110)-grown quantum wells. The photocurrent is only observed for
asymmetric structures but vanishes for symmetric QWs. Applying Kerr rotation we
prove that in the latter case the spin relaxation time is maximal, therefore
these structures set upper limit of spin dephasing in GaAs QWs. We also
demonstrate that structure inversion asymmetry can be controllably tuned to
zero by variation of delta-doping layer position.


title: Self-aligned charge read-out for InAs nanowire quantum dots

abstract:
  A highly sensitive charge detector is realized for a quantum dot in an InAs
nanowire. We have developed a self-aligned etching process to fabricate in a
single step a quantum point contact in a two-dimensional electron gas and a
quantum dot in an InAs nanowire. The quantum dot is strongly coupled to the
underlying point contact which is used as a charge detector. The addition of
one electron to the quantum dot leads to a change of the conductance of the
charge detector by typically 20%. The charge sensitivity of the detector is
used to measure Coulomb diamonds as well as charging events outside the dot.
Charge stability diagrams measured by transport through the quantum dot and
charge detection merge perfectly.


title:
A direct Numerov sixth order numerical scheme to accurately solve the
  unidimensional Poisson equation with Dirichlet boundary conditions

abstract:
  In this article, we present an analytical direct method, based on a Numerov
three-point scheme, which is sixth order accurate and has a linear execution
time on the grid dimension, to solve the discrete one-dimensional Poisson
equation with Dirichlet boundary conditions. Our results should improve
numerical codes used mainly in self-consistent calculations in solid state
physics.