title:
Surface magnetic phase transition of the double-exchange ferromagnet:
  Schwinger-boson mean-field study

abstract:
  The surface magnetic phase transition of a double-exchange model for metallic
manganites is studied using a Schwinger-boson mean-field method. About three
unit-cells wide surface layers are identified. The magnetic moment in these
layers decreases more rapidly than that in the bulk when the temperature is
increased. This behavior is consistent with experimental observations. We also
discuss the implication of this behavior on the tunneling magnetoresistance
effect using manganites and possible improvement of the magnetoresistance
effect near the bulk Curie temperature.


title:
Coexistence of the spin-density-wave and superconductivity in the
  (Ba,K)Fe2As2

abstract:
  The relation between the spin-density-wave (SDW) and superconducting order is
a central topic in current research on the FeAs-based high Tc superconductors.
Conflicting results exist in the LaFeAs(O,F)-class of materials, for which
whether the SDW and superconductivity are mutually exclusive or they can
coexist has not been settled. Here we show that for the (Ba,K)Fe2As2 system,
the SDW and superconductivity can coexist in an extended range of compositions.
The availability of single crystalline samples and high value of the energy
gaps would make the materials a model system to investigate the high Tc
ferropnictide superconductivity.


title: The Distribution of Basaltic Asteroids in the Main Belt

abstract:
  We present the observational results of a survey designed to target and
detect asteroids whose colors are similar to those of Vesta family members and
thus may be considered as candidates for having a basaltic composition. Fifty
basaltic candidates were selected with orbital elements that lie outside of the
Vesta dynamical family. Optical and near-infrared spectra were used to assign a
taxonomic type to 11 of the 50 candidates. Ten of these were spectroscopically
confirmed as V-type asteroids, suggesting that most of the candidates are
basaltic and can be used to constrain the distribution of basaltic material in
the Main Belt.
  Using our catalog of V-type candidates and the success rate of the survey, we
calculate unbiased size-frequency and semi-major axis distributions of V-type
asteroids. These distributions, in addition to an estimate for the total mass
of basaltic material, suggest that Vesta was the predominant contributor to the
basaltic asteroid inventory of the Main Belt, however scattered planetesimals
from the inner Solar System (a < 2.0 AU) and other partially/fully
differentiated bodies likely contributed to this inventory. In particular, we
infer the presence of basaltic fragments in the vicinity of asteroid 15
Eunomia, which may be derived from a differentiated parent body in the middle
Main Belt (2.5 < a < 2.8). We find no asteroidal evidence for a large number of
previously undiscovered basaltic asteroids, which agrees with previous theories
suggesting that basaltic fragments from the ~100 differentiated parent bodies
represented in meteorite collections have been "battered to bits" [Burbine,
T.H., Meibom, A., Binzel, R.P., 1996. Mantle material in the Main Belt:
Battered to bits? Met. & Planet. Sci. 31, 607].


title: Will point sources spoil 21 cm tomography?

abstract:
  21 cm tomography is emerging as a promising probe of the cosmological dark
ages and the epoch of reionization, as well as a tool for observational
cosmology in general. However, serious sources of foreground contamination must
be subtracted for experimental efforts to be viable. In this paper, we focus on
the removal of unresolved extragalactic point sources with smooth spectra, and
evaluate how the residual foreground contamination after cleaning depends on
instrumental and algorithmic parameters. A crucial but often ignored
complication is that the synthesized beam of an interferometer array shrinks
towards higher frequency, causing complicated frequency structure in each sky
pixel as "frizz" far from the beam center contracts across unresolved radio
sources. We find that current-generation experiments should nonetheless be able
to clean out this points source contamination adequately, and quantify the
instrumental and algorithmic design specifications required to meet this
foreground challenge.


title: A string theoretic model of gauge mediated supersymmetry beaking

abstract:
  We propose a robust supergravity model of dynamical supersymmetry breaking
and gauge mediation, and a natural embedding in non-perturbative string theory
with D-branes. A chiral field (and its mirror) charged under "anomalous" U(1)'s
acts as a Polonyi field whose hierarchical Polonyi-term can be generated by
string instantons. Further quartic superpotential terms arise naturally as a
tree-level decoupling effect of massive string states. A robust supersymmetry
breaking minimum allows for gauge mediation with soft masses at the TeV scale,
which we realise for a globally consistent SU(5) GUT model of Type I string
theory, with a D1-instanton inducing the Polonyi term.


title: Observational Limits on Inverse Compton Processes in GRBs

abstract:
  Inverse Compton (IC) scattering is one of two viable mechanisms that can
produce the prompt gamma-ray emission in Gamma-Ray Bursts. IC requires low
energy seed photons and a population of relativistic electrons that upscatter
them. The same electrons can upscatter the gamma-ray photons to even higher
energies in the TeV range. Using the current upper limits on the prompt optical
emission we show here that under general conservative assumption the IC
mechanism suffers from an "energy crisis". Namely, IC will over-produce a very
high energy component that would carry much more energy than the observed
prompt gamma-rays. Our analysis is general and it makes no assumptions on the
specific mechanism that produces the relativistic electrons population.


title:
A New Distance to The Antennae Galaxies (NGC 4038/39) Based on the Type
  Ia Supernova 2007sr

abstract:
  Traditionally, the distance to NGC 4038/39 has been derived from the systemic
recession velocity, yielding about 20 Mpc for H_0 = 72 km/s/Mpc. Recently, this
widely adopted distance has been challenged based on photometry of the presumed
tip of the red giant branch (TRGB), which seems to yield a shorter distance of
13.3+-1.0 Mpc and, with it, nearly 1 mag lower luminosities and smaller radii
for objects in this prototypical merger. Here we present a new distance
estimate based on observations of the Type Ia supernova (SN) 2007sr in the
southern tail, made at Las Campanas Observatory as part of the Carnegie
Supernova Project. The resulting distance of D(SN Ia) = 22.3+-2.8 Mpc [(m-M)_0
= 31.74+-0.27 mag] is in good agreement with a refined distance estimate based
on the recession velocity and the large-scale flow model developed by Tonry and
collaborators, D(flow) = 22.5+-2.8 Mpc. We point out three serious problems
that a short distance of 13.3 Mpc would entail, and trace the claimed short
distance to a likely misidentification of the TRGB. Reanalyzing Hubble Space
Telescope (HST) data in the Archive with an improved method, we find a TRGB
fainter by 0.9 mag and derive from it a preliminary new TRGB distance of
D(TRGB) = 20.0+-1.6 Mpc. Finally, assessing our three distance estimates we
recommend using a conservative, rounded value of D = 22+-3 Mpc as the best
currently available distance to The Antennae.


title:
Foreground Contamination in Interferometric Measurements of the
  Redshifted 21 cm Power Spectrum

abstract:
  Subtraction of astrophysical foreground contamination from "dirty" sky maps
produced by simulated measurements of the Murchison Widefield Array (MWA) has
been performed by fitting a 3rd-order polynomial along the spectral dimension
of each pixel in the data cubes. The simulations are the first to include the
unavoidable instrumental effects of the frequency-dependent primary antenna
beams and synthesized array beams. They recover the one-dimensional
spherically-binned input redshifted 21 cm power spectrum to within
approximately 1% over the scales probed most sensitively by the MWA (0.01 < k <
1 Mpc^-1) and demonstrate that realistic instrumental effects will not mask the
EoR signal. We find that the weighting function used to produce the dirty sky
maps from the gridded visibility measurements is important to the success of
the technique. Uniform weighting of the visibility measurements produces the
best results, whereas natural weighting significantly worsens the foreground
subtraction by coupling structure in the density of the visibility measurements
to spectral structure in the dirty sky map data cube. The extremely dense
uv-coverage of the MWA was found to be advantageous for this technique and
produced very good results on scales corresponding to |u| < 500 wavelengths in
the uv-plane without any selective editing of the uv-coverage.


title: Hamilton-Jacobi formalism for string gas thermodynamics

abstract:
  We show that the thermodynamics of a system of strings at high energy
densities under the ideal gas approximation has a formulation in terms of
Hamilton-Jacobi theory. The two parameters of the system, which have dimensions
of energy density and number density, respectively, define a family of
hypersurfaces of co-dimension one, which can be described by the vanishing of a
function F that plays the role of a Hamiltonian.


title:
Optimal estimation of losses at the ultimate quantum limit with
  non-Gaussian states

abstract:
  We address the estimation of the loss parameter of a bosonic channel probed
by arbitrary signals. Unlike the optimal Gaussian probes, which can attain the
ultimate bound on precision asymptotically either for very small or very large
losses, we prove that Fock states at any fixed photon number saturate the bound
unconditionally for any value of the loss. In the relevant regime of low-energy
probes, we demonstrate that superpositions of the first low-lying Fock states
yield an absolute improvement over any Gaussian probe. Such few-photon states
can be recast quite generally as truncations of de-Gaussified photon-subtracted
states.

categories: quant-ph cond-mat.other hep-th math-ph math.MP physics.optics


title: Neutrino mass and low-scale leptogenesis in a testable SUSY SO(10) model

abstract:
  It is shown that a supersymmetric SO(10) model extended with fermion singlets
can accommodate the observed neutrino masses and mixings as well as generate
the desired lepton asymmetry in concordance with the gravitino constraint. A
necessary prediction of the model is near-TeV scale doubly-charged Higgs
scalars which should be detectable at the LHC.


title:
Existence, uniqueness and efficiency of equilibrium in hedonic markets
  with multidimenstional types

abstract:
  We study equilibrium in hedonic markets, when consumers and suppliers have
reservation utilities, and the utility functions are separable with respect to
price. There is one indivisible good, which comes in different qualities; each
consumer buys 0 or 1 unit, and each supplier sells 0 or 1 unit. Consumer types,
supplier types and qualities can be either discrete of continuous, in which
case they are allowed to be multidimensional. Prices play a double role: they
keep some agents out of the market, and they match the remaining ones pairwise.
We define equilibrium prices and equilibrium distributions, and we prove that
equilibria exist, we investigate to what extend equilibrium prices and
distributions are unique, and we prove that equilibria are efficient. In the
particular case when there is a continuum of types, and a generalized
Spence-Mirrlees condition is satisfied, we prove the existence of a pure
equilibrium, where demand distributions are in fact demand functions, and we
show to what extent it is unique. The proofs rely on convex analysis, and care
has been given to illustrate the theory with examples.


title: The Unhiggs

abstract:
  We examine a scenario where the Higgs is part of an approximate conformal
field theory, and has a scaling dimension greater than one. Such an unparticle
Higgs (or Unhiggs) can still break electroweak symmetry and unitarize WW
scattering, but its gauge couplings are suppressed. An Unhiggs model has a
reduced sensitivity of the weak scale to the cutoff, and can thus provide a
solution to the little hierarchy problem.


title: Pseudospin symmetry and effective field theory

abstract:
  Pseudopsin has been shown to be approximately conserved in nuclei. We
investigate whether or not there is an advantage in using the pseudospin
operators as well as the spin operators in the description of the
nucleon-nucleon interaction. We conclude that, indeed, there is an advantage.


title:
Keeping the Universe ionised: Photo-heating and the clumping factor of
  the high-redshift intergalactic medium

abstract:
  The critical star formation rate density required to keep the intergalactic
hydrogen ionised depends crucially on the average rate of recombinations in the
intergalactic medium (IGM). This rate is proportional to the clumping factor C
= <rho_b^2> / avg(rho_b)^2, where rho_b and avg(rho_b) are the local and cosmic
mean baryon density, respectively, and the brackets < > indicate spatial
averaging over the recombining gas in the IGM. We perform a suite of
cosmological smoothed particle hydrodynamics simulations that include radiative
cooling to calculate the volume-weighted clumping factor of the IGM at
redshifts z >= 6. We focus on the effect of photo-ionisation heating by a
uniform ultra-violet background and find that photo-heating strongly reduces
the clumping factor because the increased pressure support smoothes out
small-scale density fluctuations. Photo-ionisation heating is often said to
provide a negative feedback on the reionisation of the IGM because it
suppresses the cosmic star formation rate by boiling the gas out of low-mass
halos. However, because of the reduction of the clumping factor it also makes
it easier to keep the IGM ionised. Photo-heating therefore also provides a
positive feedback which, while known to exist, has received much less
attention. We demonstrate that this positive feedback is in fact very strong.
Using conservative assumptions, we find that if the IGM was reheated at z >~ 9,
the observed population of star-forming galaxies at z = 6 may be sufficient to
keep the IGM ionised, provided that the fraction of ionising photons that
escape the star-forming regions to ionise the IGM is larger than 0.2.


title: A hyperelliptic Hodge integral

abstract:
  We calculate the hyperelliptic Hodge integral lambda_g lambda_{g-1} / (1 -
psi) for use in arXiv:math/0702219. The proof uses the WDVV equations for the
genus zero Gromov--Witten invariants of P(1,1,2).


title: Spinning strings at one-loop in AdS_4 x P^3

abstract:
  We analyze the folded spinning string in AdS_4 x P^3 with spin S in AdS_4 and
angular momentum J in P^3. We calculate the one-loop correction to its energy
in the scaling limit of both ln S and J large with their ratio kept fixed. This
result should correspond to the first subleading strong coupling correction to
the anomalous dimension of operators of the type Tr(D^S(Y^\dagger Y)^J) in the
dual N=6 Chern-Simons-matter theory. Our result appears to depart from the
predictions for the generalized scaling function found from the all-loop Bethe
equations conjectured for this AdS_4/CFT_3 duality. We comment on the possible
origin of this difference.


title: Near- and mid-infrared photometry of high-redshift 3CR sources

abstract:
  Using the Spitzer Space Telescope, we have obtained 3.6--24 micron photometry
of 38 radio galaxies and 24 quasars from the 3CR catalog at redshift 1<z<2.5.
This 178 MHz-selected sample is unbiased with respect to orientation and
therefore suited to study orientation-dependent effects in the most powerful
active galactic nuclei (AGN). Quasar and radio galaxy subsamples matched in
isotropic radio luminosity are compared. The quasars all have similar spectral
energy distributions (SEDs), nearly constant in nu F_nu through the rest 1.6-10
micron range, consistent with a centrally heated dust distribution which
outshines the host galaxy contribution. The radio galaxy SEDs show larger
dispersion, but the mean radio galaxy SED declines from rest 1.6 to 3 micron
and then rises from 3 to 8 micron. The radio galaxies are on average a factor
3-10 less luminous in this spectral range than the quasars. These
characteristics are consistent with composite emission from a heavily reddened
AGN plus starlight from the host galaxy. The mid-infrared colors and radio to
mid-infrared spectral slopes of individual galaxies are also consistent with
this picture. Individual galaxies show different amounts of extinction and host
galaxy starlight, consistent with the orientation-dependent unified scheme.


title:
The Bulge Radial Velocity Assay (BRAVA): I. Sample Selection and a
  Rotation Curve

abstract:
  Results from the Bulge Radial Velocity Assay (BRAVA) are presented. BRAVA
uses M giant stars, selected from the 2MASS catalog to lie within a bound of
reddening corrected color and luminosity, as targets for the Cerro Tololo
Inter-American Observatory 4-m Hydra multi-object spectrograph. Three years of
observations investigate the kinematics of the Galactic bulge major and minor
axes with ~3300 radial velocities from 32 bulge fields and one disk field. We
construct a longitude-velocity plot for the bulge stars and find that, contrary
to previous studies, the bulge does not rotate as a solid body; for |l|<4
degree the rotation curve has a slope of roughly 100 km/s/kpc and flattens
considerably at greater l, reaching a maximum rotation of 75 km/s. We compare
our rotation curve and velocity dispersion profile to both the self-consistent
model of Zhao (1996) and to N-body models; neither satisfactorily fit both
measured rotation and dispersion. We place the bulge on the plot of
(Vmax/sigma) vs. epsilon and find that the bulge lies near the oblate rotator
line, and very close to the parameters of NGC 4565, an edge-on spiral galaxy
with a bulge similar to that of the Milky Way. We find that our summed velocity
distribution of bulge stars appears to be sampled from a Gaussian distribution,
with sigma=116+/-2 km/s for our summed bulge fields.


title:
Element-Specific Phonon Density of States of Iron in LaFeAsO_{1-x}F_{x}
  and La_{1-x}Ca_{x}FePO

abstract:
  We have measured element-specific Fe-phonon densities of states (Fe-PDOS) of
LaFeAsO_{1-x}F_{x} (x = 0, 0.11) and La_{1-x}Ca_{x}FePO (x = 0.13) by using
nuclear resonant inelastic scattering of synchrotron radiation. The Fe-PDOS of
superconductor LaFeAsO_{0.89}F_{0.11} (Tc = 26 K) and that of
non-superconductor LaFeAsO have similar structures to both below Tc (15 K) and
above Tc (298 K) and, therefore, fluorine doping does not have notable effect
on the Fe-PDOS. As for the superconductor La_{0.87}Ca_{0.13}FePO (Tc = 5.4K),
the entire structure of Fe-PDOS resembles with that of LaFeAsO_{1-x}F_{x}, but
the energy of the highest peak is higher than that of LaFeAsO_{1-x}F_{x}. These
peaks are attributed to vibrational modes between Fe and pnicogen (As and P)
and the temperature-dependent energy shifts are observed for
LaFeAsO_{1-x}F_{x}. Observed Fe-PDOS of LaFeAsO_{1-x}F_{x} agrees well with an
previously calculated Fe-PDOS spectrum with a first-principles calculation and
shows the structural resemblance with an calculated Eliashberg function
#alpha^2F(x) giving small electron-phonon coupling. Therefore, our results
indicate that phonons are not the main contributors to the Tc superconductivity
of LaFeAsO_{1-x}F_{x}. From the experimental viewpoint, comparison of our
observed Fe-PDOS and an experimentally obtained bosonic glue spectrum will be
an important clue as to whether phonons are the main contributors to
superconductivity in iron-pnictide superconductors.


title:
Measurement of the Range Component Directional Signature in a DRIFT-II
  Detector using 252Cf Neutrons

abstract:
  The DRIFT collaboration utilizes low pressure gaseous detectors to search for
WIMP dark matter with directional signatures. A 252Cf neutron source was placed
on each of the principal axes of a DRIFT detector in order to test its ability
to measure directional signatures from the three components of very low energy
(~keV/amu) recoil ranges. A high trigger threshold and the event selection
procedure ensured that only sulfur recoils were analyzed. Sulfur recoils
produced in the CS2 target gas by the 252Cf source closely match those expected
from massive WIMP induced sulfur recoils. For each orientation of the source a
directional signal from the range components was observed, indicating that the
detector is directional along all 3 axes. An analysis of these results yields
an optimal orientation for DRIFT detectors when searching for a directional
signature from WIMPs. Additional energy dependent information is provided to
aid in understanding this effect.


title: Magnetic-Field Dependence of the YbRh2Si2 Fermi Surface

abstract:
  Magnetic-field-induced changes of the Fermi surface play a central role in
theories of the exotic quantum criticality of YbRh2Si2. We have carried out de
Haas-van Alphen measurements in the magnetic-field range 8 T <= H <= 16 T, and
directly observe field dependence of the extremal Fermi surface areas. Our data
support the theory that a low-field "large" Fermi surface, including the Yb 4f
quasihole, is increasingly spin split until a majority-spin branch undergoes a
Lifshitz transition and disappears at H0 ~ 10 T, without requiring 4f
localization at H0.


title:
Constraining the Physical Parameters of the Circumstellar Disk of chi
  Ophiuchi

abstract:
  We present a numerical model describing a circularly symmetric gaseous disk
around the Be star chi Ophiuchi. The model is constrained by long-baseline
interferometric observations that are sensitive to the H-alpha Balmer line
emission from the disk. For the first time our interferometric observations
spatially resolve the inner region of the circumstellar disk around chi
Ophiuchi and we use these results to place a constraint on the physical extent
of the H-alpha-emitting region. We demonstrate how this in turn results in very
specific constraints on the parameters that describe the variation of the gas
density as a function of radial distance from the central star.


title: Eigenfunctions of the Laplacian and associated Ruelle operator

abstract:
  Let $\Gamma$ be a co-compact Fuchsian group of isometries on the Poincar\'e
disk $\DD$ and $\Delta$ the corresponding hyperbolic Laplace operator. Any
smooth eigenfunction $f$ of $\Delta$, equivariant by $\Gamma$ with real
eigenvalue $\lambda=-s(1-s)$, where $s={1/2}+ it$, admits an integral
representation by a distribution $\dd_{f,s}$ (the Helgason distribution) which
is equivariant by $\Gamma$ and supported at infinity $\partial\DD=\SS^1$. The
geodesic flow on the compact surface $\DD/\Gamma$ is conjugate to a suspension
over a natural extension of a piecewise analytic map $T:\SS^1\to\SS^1$, the
so-called Bowen-Series transformation. Let $\ll_s$ be the complex Ruelle
transfer operator associated to the jacobian $-s\ln |T'|$. M. Pollicott showed
that $\dd_{f,s}$ is an eigenfunction of the dual operator $\ll_s^*$ for the
eigenvalue 1. Here we show the existence of a (nonzero) piecewise real analytic
eigenfunction $\psi_{f,s}$ of $\ll_s$ for the eigenvalue 1, given by an
integral formula \[ \psi_{f,s} (\xi)=\int \frac{J(\xi,\eta)}{|\xi-\eta|^{2s}}
  \dd_{f,s} (d\eta), \] \noindent where $J(\xi,\eta)$ is a $\{0,1\}$-valued
piecewise constant function whose definition depends upon the geometry of the
Dirichlet fundamental domain representing the surface $\DD/\Gamma$.


title: Results and prospects for Y(5S) running at B-factories

abstract:
  Recent results and future prospects for Y(5S) running at B-factories are
discussed. The first Belle measurements with 23.6 fb-1 of data taken at the
Y(5S) energy are reported. Eligibility of potential measurements expected with
100 fb-1 and 1000 fb-1 of data at the Y(5S) is estimated.


title: Representation theory of Yang-Mills algebras

abstract:
  The aim of this article is to describe families or representations of the
Yang-Mills algebras YM(n) (where n>1) defined by Connes and Dubois-Violette. We
first describe irreducible finite dimensional representations. Next, we provide
families of infinite dimensional representations of YM(n), big enough to
separate points of the algebra. In order to prove this result, we use that all
Weyl algebras Ar(k) are epimorphic images of YM(n).


title: Deep L' and M-band Imaging for Planets Around Vega and epsilon Eridani

abstract:
  We have obtained deep Adaptive Optics (AO) images of Vega and epsilon Eri to
search for planetary-mass companions. We observed at the MMT in the L' (3.8
micron) and M (4.8 micron) bands using Clio, a recently commissioned imager
optimized for these wavelengths. Observing at these long wavelengths represents
a departure from the H band (1.65 microns) more commonly used for AO imaging
searches for extrasolar planets. The long wavelengths offer better predicted
planet/star flux ratios and cleaner (higher Strehl) AO images, at the cost of
lower diffraction limited resolution and higher sky background. We have not
detected any planets or planet candidates around Vega or epsilon Eri. We report
the sensitivities obtained around both stars, which correspond to upper limits
on any planetary companions which may exist. The sensitivities of our L' and M
band observations are comparable to those of the best H-regime observations of
these stars. For epsilon Eri our M band observations deliver considerably
better sensitivity to close-in planets than any previously published results,
and we show that the M band is by far the best wavelength choice for attempts
at ground-based AO imaging of the known planet epsilon Eri b. The Clio camera
itself with MMTAO may be capable of detecting epsilon Eri b at its 2010
apastron, given a multi-night observing campaign. Clio appears to be the only
currently existing AO imager that has a realistic possibility of detecting
epsilon Eri b.


title:
Self-assembling DNA-caged particles: nanoblocks for hierarchical
  self-assembly

abstract:
  DNA is an ideal candidate to organize matter on the nanoscale, primarily due
to the specificity and complexity of DNA based interactions. Recent advances in
this direction include the self-assembly of colloidal crystals using DNA
grafted particles. In this article we theoretically study the self-assembly of
DNA-caged particles. These nanoblocks combine DNA grafted particles with more
complicated purely DNA based constructs. Geometrically the nanoblock is a
sphere (DNA grafted particle) inscribed inside a polyhedron (DNA cage). The
faces of the DNA cage are open, and the edges are made from double stranded
DNA. The cage vertices are modified DNA junctions. We calculate the
equilibriuim yield of self-assembled, tetrahedrally caged particles, and
discuss their stability with respect to alternative structures. The
experimental feasability of the method is discussed. To conclude we indicate
the usefulness of DNA-caged particles as nanoblocks in a hierarchical
self-assembly strategy.


title:
Nonadditivity effects in classical capacities of quantum multiple-access
  channels

abstract:
  We study classical capacities of quantum multi-access channels in geometric
terms revealing breaking of additivity of Holevo-like capacity. This effect is
purely quantum since, as one points out, any classical multi-access channels
have their regions additive. The observed non-additivity in quantum version
presented here seems to be the first effect of this type with no additional
resources like side classical or quantum information (or entanglement)
involved. The simplicity of quantum channels involved resembles butterfly
effect in case of classical channel with two senders and two receivers.


title: Tukey classes of ultrafilters on omega

abstract:
  Motivated by a question of Isbell, we show that Jensen's Diamond Principle
implies there is a non-P-point ultrafilter U on omega such that U, whether
ordered by reverse inclusion or reverse inclusion mod finite, is not Tukey
equivalent to the finite sets of reals ordered by inclusion. We also show that,
for every regular infinite kappa not greater than 2^{aleph_0}, if
MA_{sigma-centered} holds, then some ultrafilter U on omega, ordered by reverse
inclusion mod finite, is Tukey equivalent to the sets of reals of size less
than kappa, ordered by inclusion. We also prove two negative ZFC results about
the possible Tukey classes of ultrafilters on omega.


title: Unfolding in CHR

abstract:
  Program transformation is an appealing technique which allows to improve
run-time efficiency, space-consumption and more generally to optimize a given
program. Essentially it consists of a sequence of syntactic program
manipulations which preserves some kind of semantic equivalence. One of the
basic operations which is used by most program transformation systems is
unfolding which consists in the replacement of a procedure call by its
definition. While there is a large body of literature on transformation and
unfolding of sequential programs, very few papers have addressed this issue for
concurrent languages and, to the best of our knowledge, no other has considered
unfolding of CHR programs.
  This paper defines a correct unfolding system for CHR programs. We define an
unfolding rule, show its correctness and discuss some conditions which can be
used to delete an unfolded rule while preserving the program meaning. We prove
that confluence and termination properties are preserved by the above
transformations.


title: Proper actions on corank-one reductive homogeneous spaces

abstract:
  Let k be a local field and G the set of k-points of a connected semisimple
algebraic k-group of rank one. We describe all torsion-free discrete subgroups
of G\times G acting properly discontinuously on G by left and right
multiplication. To this end, we prove a general result on the Cartan projection
of discrete groups acting properly discontinuously on corank-one reductive
homogeneous spaces over k.


title: Yang-Mills Chern-Simons Corrections From the Pure Spinor Superstring

abstract:
  Nilpotency of the pure spinor BRST operator in a curved background implies
superspace equations of motion for the background. By computing one-loop
corrections to nilpotency for the heterotic sigma model, the Yang-Mills
Chern-Simons corrections to the background are derived.


title: A GLIMPSE into the Nature of Galactic Mid-IR Excesses

abstract:
  We investigate the nature of the mid-IR excess for 31 intermediate-mass stars
that exhibit an 8 micron excess in either the Galactic Legacy Infrared
Mid-Plane Survey Extraordinaire or the Mid-Course Space Experiment using high
resolution optical spectra to identify stars surrounded by warm circumstellar
dust. From these data we determine projected stellar rotational velocities and
estimate stellar effective temperatures for the sample. We estimate stellar
ages from these temperatures, parallactic distances, and evolutionary models.
Using MIPS [24] measurements and stellar parameters we determine the nature of
the infrared excess for 19 GLIMPSE stars. We find that 15 stars exhibit Halpha
emission and four exhibit Halpha absorption. Assuming that the mid-IR excesses
arise in circumstellar disks, we use the Halpha fluxes to model and estimate
the relative contributions of dust and free-free emission. Six stars exhibit
Halpha fluxes that imply free-free emission can plausibly explain the infrared
excess at [24]. These stars are candidate classical Be stars. Nine stars
exhibit Halpha emission, but their Halpha fluxes are insufficient to explain
the infrared excesses at [24], suggesting the presence of a circumstellar dust
component. After the removal of the free-free component in these sources, we
determine probable disk dust temperatures of Tdisk~300-800 K and fractional
infrared luminosities of L(IR)/L(*)~10^-3. These nine stars may be
pre-main-sequence stars with transitional disks undergoing disk clearing. Three
of the four sources showing Halpha absorption exhibit circumstellar disk
temperatures ~300-400 K, L(IR)/L(*)~10^-3, IR colors K-[24]< 3.3, and are warm
debris disk candidates. One of the four Halpha absorption sources has K-[24]>
3.3 implying an optically thick outer disk and is a transition disk candidate.


title:
Searches for gravitational waves associated with pulsar glitches using a
  coherent network algorithm

abstract:
  Pulsar glitches are a potential source of gravitational waves for current and
future interferometric gravitational wave detectors. Some pulsar glitch events
were observed by radio and X-ray telescopes during the fifth LIGO science run.
It is expected that glitches from these same pulsars should also be seen in the
future. We carried out Monte Carlo simulations to estimate the sensitivity of
possible gravitational wave signals associated with a pulsar glitch using a
coherent network analysis method. We show the detection efficiency and evaluate
the reconstruction accuracy of gravitational waveforms using a matched filter
analysis on the estimated gravitational waveforms from the coherent analysis
algorithm.


title: The Calabi flow on toric Fano surface

abstract:
  We prove the longtime existence and convergence of the Calabi flow on toric
Fano surfaces in a large family of Kahler classes where the class has positive
extremal Hamiltonian potential and the initial Calabi energy is bounded by some
constant. This is an extension of our previous work. We use the toric condition
in a more essential way to rule out bubbles.


title: Anomalous Microwave Emission from the HII region RCW175

abstract:
  We present evidence for anomalous microwave emission in the RCW175 \hii
region. Motivated by 33 GHz $13\arcmin$ resolution data from the Very Small
Array (VSA), we observed RCW175 at 31 GHz with the Cosmic Background Imager
(CBI) at a resolution of $4\arcmin$. The region consists of two distinct
components, G29.0-0.6 and G29.1-0.7, which are detected at high signal-to-noise
ratio. The integrated flux density is $5.97\pm0.30$ Jy at 31 GHz, in good
agreement with the VSA. The 31 GHz flux density is $3.28\pm0.38$ Jy
($8.6\sigma$) above the expected value from optically thin free-free emission
based on lower frequency radio data and thermal dust constrained by IRAS and
WMAP data. Conventional emission mechanisms such as optically thick emission
from ultracompact \hii regions cannot easily account for this excess. We
interpret the excess as evidence for electric dipole emission from small
spinning dust grains, which does provide an adequate fit to the data.


title: Regular subalgebras of affine Kac-Moody algebras

abstract:
  We classify regular subalgebras of affine Kac-Moody algebras in terms of
their root systems. In the process, we establish that a root system of a
subalgebra is always an intersection of the root system of the algebra with a
sublattice of its root lattice.
  We also discuss applications to investigations of regular subalgebras of
hyperbolic Kac-Moody algebras and conformally invariant subalgebras of affine
Kac-Moody algebras.


title: Longitudinal broadening of near side jets due to parton cascade

abstract:
  Longitudinal broadening along $\Delta\eta$ direction on near side in
two-dimensional ($\Delta\phi \times \Delta\eta$) di-hadron correlation
distribution has been studied for central Au+Au collisions at $\sqrt{s_{NN}}$ =
200 GeV, within a dynamical multi-phase transport model. It was found that the
longitudinal broadening is generated by a longitudinal flow induced by strong
parton cascade in central Au+Au collisions, in comparison with p+p collisions
at $\sqrt{s_{NN}}$ = 200 GeV. The longitudinal broadening may shed light on the
information about strongly interacting partonic matter at RHIC.


title:
Primordial Curvature Fluctuation and Its Non-Gaussianity in Models with
  Modulated Reheating

abstract:
  We investigate non-Gaussianity in the modulated reheating scenario where
fluctuations of the decay rate of the inflaton generate adiabatic
perturbations, paying particular attention to the non-linearity parameters
$f_{\rm NL}, \tau_{\rm NL}$ and $g_{\rm NL}$ as well as the scalar spectral
index and tensor-to-scalar ratio which characterize the nature of the
primordial power spectrum. We also take into account the pre-existing adiabatic
perturbations produced from the inflaton fluctuations. It has been known that
the non-linearity between the curvature perturbations and the fluctuations of
the decay rate can yield non-Gaussianity at the level of $f_{\rm NL} \sim
\mathcal{O}(1)$, but we find that the non-linearity between the decay rate and
the modulus field which determines the decay rate can generate much greater
non-Gaussianity. We also discuss a consistency relation among non-linearity
parameters which holds in the scenario and find that the modulated reheating
yields a different one from that of the curvaton model. In particular, they
both can yield a large positive $f_{\rm NL}$ but with a different sign of
$g_{\rm NL}$. This provides a possibility to discriminate these two competitive
models by looking at the sign of $g_{\rm NL}$. Furthermore, we work on some
concrete inflation models and investigate in what cases models predict the
spectral index and the tensor-to-scalar ratio allowed by the current data while
generating large non-Gaussianity, which may have many implications for
model-buildings of the inflationary universe.


title:
Localized gap soliton trains of Bose-Einstein condensates in an optical
  lattice

abstract:
  We develop a systematic analytical approach to study the linear and nonlinear
solitary excitations of quasi-one-dimensional Bose-Einstein condensates trapped
in an optical lattice. For the linear case, the Bloch wave in the $nth$ energy
band is a linear superposition of Mathieu's functions $ce_{n-1}$ and $se_n$;
and the Bloch wave in the $nth$ band gap is a linear superposition of $ce_n$
and $se_n$. For the nonlinear case, only solitons inside the band gaps are
likely to be generated and there are two types of solitons -- fundamental
solitons (which is a localized and stable state) and sub-fundamental solitons
(which is a lacalized but unstable state). In addition, we find that the
pinning position and the amplitude of the fundamental soliton in the lattice
can be controlled by adjusting both the lattice depth and spacing. Our
numerical results on fundamental solitons are in quantitative agreement with
those of the experimental observation [Phys. Rev. Lett. {\bf92}, 230401
(2004)]. Furthermore, we predict that a localized gap soliton train consisting
of several fundamental solitons can be realized by increasing the length of the
condensate in currently experimental conditions.


title: How to sharpen a tridiagonal pair

abstract:
  Let $\F$ denote a field and let $V$ denote a vector space over $\F$ with
finite positive dimension. We consider a pair of linear transformations $A:V
\to V$ and $A^*:V \to V$ that satisfy the following conditions: (i) each of
$A,A^*$ is diagonalizable; (ii) there exists an ordering $\lbrace
V_i\rbrace_{i=0}^d$ of the eigenspaces of $A$ such that $A^* V_i \subseteq
V_{i-1} + V_{i} + V_{i+1}$ for $0 \leq i \leq d$, where $V_{-1}=0$ and
$V_{d+1}=0$; (iii) there exists an ordering $\lbrace V^*_i\rbrace_{i=0}^\delta$
of the eigenspaces of $A^*$ such that $A V^*_i \subseteq V^*_{i-1} + V^*_{i} +
V^*_{i+1}$ for $0 \leq i \leq \delta$, where $V^*_{-1}=0$ and
$V^*_{\delta+1}=0$; (iv) there is no subspace $W$ of $V$ such that $AW
\subseteq W$, $A^* W \subseteq W$, $W \neq 0$, $W \neq V$. We call such a pair
a {\it tridiagonal pair} on $V$. It is known that $d=\delta$, and for $0 \leq i
\leq d$ the dimensions of $V_i, V^*_i, V_{d-i}, V^*_{d-i}$ coincide. Denote
this common dimension by $\rho_i$ and call $A,A^*$ {\it sharp} whenever
$\rho_0=1$. Let $T$ denote the $\F$-subalgebra of ${\rm End}_\F(V)$ generated
by $A,A^*$. We show: (i) the center $Z(T)$ is a field whose dimension over $\F$
is $\rho_0$; (ii) the field $Z(T)$ is isomorphic to each of $E_0TE_0$,
$E_dTE_d$, $E^*_0TE^*_0$, $E^*_dTE^*_d$, where $E_i$ (resp. $E^*_i$) is the
primitive idempotent of $A$ (resp. $A^*$) associated with $V_i$ (resp.
$V^*_i$); (iii) with respect to the $Z(T)$-vector space $V$ the pair $A,A^*$ is
a sharp tridiagonal pair.


title:
Codes Associated with Special Linear Groups and Power Moments of
  Multi-dimensional Kloosterman Sums

abstract:
  In this paper, we construct the binary linear codes $C(SL(n,q))$ associated
with finite special linear groups $SL(n,q)$, with both \emph{n,q} powers of
two. Then, via Pless power moment identity and utilizing our previous result on
the explicit expression of the Gauss sum for $SL(n,q)$, we obtain a recursive
formula for the power moments of multi-dimensional Kloosterman sums in terms of
the frequencies of weights in $C(SL(n,q))$. In particular, when $n=2$, this
gives a recursive formula for the power moments of Kloosterman sums. We
illustrate our results with some examples.


title:
Evidence for an intermediate line region in AGN's inner torus region and
  its evolution from narrow to broad line Seyfert I galaxies

abstract:
  A two-components model for Broad Line Region (BLR) of Active Galactic Nuclei
(AGN) has been suggested for many years but not widely accepted (e.g., Hu et
al. 2008; Sulentic et al. 2000; Brotherton et al. 1996; Mason et al. 1996).
This model indicates that the broad line can be described with superposition of
two Gaussian components (Very Broad Gaussian Component (VBGC) and InterMediate
Gaussian Component (IMGC)) which are from two physically distinct regions;
i.e., Very Broad Line Region (VBLR) and InterMediate Line Region (IMLR). We
select a SDSS sample to further confirm this model and give detailed analysis
to the geometry, density and evolution of these two regions. Micro-lensing
result of BLR in J1131-1231 and some unexplained phenomena in Reverberation
Mapping (RM) experiment provide supportive evidence for this model. Our results
indicate that the radius obtained from the emission line RM normally
corresponds to the radius of the VBLR, and the existence of the IMGC may affect
the measurement of the black hole masses in AGNs. The deviation of NLS1s from
the M-sigma relation and the Type II AGN fraction as a function of luminosity
can be explained in this model in a coherent way. The evolution of the two
emission regions may be related to the evolutionary stages of the broad line
regions of AGNs from NLS1s to BLS1s. Based on the results presented here, a
unified picture of hierarchical evolution of black hole, dust torus and galaxy
is proposed.


title:
Unveiling the nature of Seyfert nuclei with 1 - 100 micron spectral
  energy distributions

abstract:
  The infrared is a key wavelength regime for probing the dusty, obscured
nuclear regions of active galaxies. We present results from an infrared study
of 87 nearby Seyfert galaxies using the Spitzer Space Telescope and
ground-based telescopes. Combining detailed modelling of the 3 - 100 micron
spectral energy distributions with mid-IR spectral diagnostics and
near-infrared observations, we find broad support for the unified model of
AGNs. The IR emission of Seyfert 1s and 2s is consistent with their having the
same type of central engine viewed at a different orientation. The nature of
the putative torus is becoming clearer; in particular we present evidence that
it is likely a clumpy medium. Mid-infrared correlations between tracers of star
formation and AGN ionizing luminosity reveal the starburst-AGN connection
implied by the black hole/bulge mass relation, however it is not yet clear if
this is due to feedback.


title: The elusive memristor: properties of basic electrical circuits

abstract:
  We present a tutorial on the properties of the new ideal circuit element, a
memristor. By definition, a memristor M relates the charge q and the magnetic
flux $\phi$ in a circuit, and complements a resistor R, a capacitor C, and an
inductor L as an ingredient of ideal electrical circuits. The properties of
these three elements and their circuits are a part of the standard curricula.
The existence of the memristor as the fourth ideal circuit element was
predicted in 1971 based on symmetry arguments, but was clearly experimentally
demonstrated just this year. We present the properties of a single memristor,
memristors in series and parallel, as well as ideal memristor-capacitor (MC),
memristor-inductor (ML), and memristor-capacitor-inductor (MCL) circuits. We
find that the memristor has hysteretic current-voltage characteristics. We show
that the ideal MC (ML) circuit undergoes non-exponential charge (current) decay
with two time-scales, and that by switching the polarity of the capacitor, an
ideal MCL circuit can be tuned from overdamped to underdamped. We present
simple models which show that these unusual properties are closely related to
the memristor's internal dynamics. This tutorial complements the pedagogy of
ideal circuit elements (R,C, and L) and the properties of their circuits.


title: Network Topology as a Driver of Bistability in the lac Operon

abstract:
  The lac operon in Escherichia coli has been studied extensively and is one of
the earliest gene systems found to undergo both positive and negative control.
The lac operon is known to exhibit bistability, in the sense that the operon is
either induced or uninduced. Many dynamical models have been proposed to
capture this phenomenon. While most are based on complex mathematical
formulations, it has been suggested that for other gene systems network
topology is sufficient to produce the desired dynamical behavior.
  We present a Boolean network as a discrete model for the lac operon. We
include the two main glucose control mechanisms of catabolite repression and
inducer exclusion in the model and show that it exhibits bistability. Further
we present a reduced model which shows that lac mRNA and lactose form the core
of the lac operon, and that this reduced model also exhibits the same dynamics.
This work corroborates the claim that the key to dynamical properties is the
topology of the network and signs of interactions.


title: Topology and Geometry of Online Social Networks

abstract:
  In this paper, we study certain geometric and topological properties of
online social networks using the concept of density and geometric vector
spaces. "Moi Krug" ("My Circle"), a Russian social network that promotes the
principle of the "six degrees of separation" and is positioning itself as a
vehicle for professionals and recruiters seeking each others' services, is used
as a test vehicle.


title: Towards a common thread in Complexity: an accuracy-based approach

abstract:
  The complexity of a system, in general, makes it difficult to determine some
or almost all matrix elements of its operators. The lack of accuracy acts as a
source of randomness for the matrix elements which are also subjected to an
external potential due to existing system conditions. The fluctuation of
accuracy due to varying system-conditions leads to a diffusion of the matrix
elements. We show that, for the single well potentials, the diffusion can be
described by a common mathematical formulation where system information enters
through a single parameter. This further leads to a characterization of
physical properties by an infinite range of single parametric universality
classes.


title:
Testing of Solar2000 EUV flux model between 900-1350 A using Greenline
  Dayglow Emission

abstract:
  The contribution of photodissociation of molecular oxygen to the total volume
emission rate of greenline dayglow emission at 5577 A is modelled in the
present study. The Solar EUV radiation fluxes for the modelling are obtained
from the Solar2000 V 2.25 model. The modelling has been done in the altitude
range of 92 - 105 Km, where the photodissociation and the three body
recombination are the main contributing processes to the greenline dayglow
emission. The present results are discussed in the light of Wind Imaging
Interferometer (WINDII) observations of greenline dayglow emission in the
altitude range of 92 - 105 Km. It is found that the Solar2000 V2.25 flux model
gives better agreement with the WINDII observations especially in the 92 - 96
Km where the earlier models predicted a very low emission rate. In the
mesospheric emission peak region the present results are higher than the
measurements and this discrepancy may possibly be attributed due to higher
values of solar fluxes for those spectral lines which are main sources of the
production of greenline dayglow emission. The present study suggests the
reexamination of Solar2000 flux model at least for those spectral lines which
are the main sources of greenline dayglow emission in mesospheric emission peak
region.


title:
Properties of nano-graphite ribbons with zigzag edges -- Difference
  between odd and even legs --

abstract:
  Persistent currents and transport properties are investigated for the
nano-graphite ribbons with zigzag shaped edges with paying attention to system
length $L$ dependence. It is found that both the persistent current in the
isolated ring and the conductance of the system connected to the perfect leads
show the remarkable $L$ dependences. In addition, the dependences for the
systems with odd legs and those with even legs are different from each other.
On the persistent current, the amplitude for the cases with odd legs shows
power-low behavior as $L^{-N}$ with $N$ being the number of legs, whereas the
maximum of it decreases exponentially for the cases with even legs. The
conductance per one spin normalized by $e^2/h$ behaves as follows. In the even
legs cases, it decays as $L^{-2}$, whereas it reaches to unity for $L \to
\infty$ in the odd legs cases. Thus, the material is shown to have a remarkable
property that there is the qualitative difference between the systems with odd
legs and those with even legs even in the absence of the electron-electron
interaction.


title: Continuous degeneracy of non-supersymmetric vacua

abstract:
  In global supersymmetric Wess-Zumino models with minimal K\"ahler potentials,
F-type supersymmetry breaking always yields instability or continuous
degeneracy of non-supersymmetric vacua. As a generalization of the original
O'Raifeartaigh's result, the existence of instability or degeneracy is true to
any higher order corrections at tree level for models even with
non-renormalizable superpotentials. The degeneracy generically coincides the
R-axion direction under some assumptions of R-charge assignment, but generally
requires neither R-symmetries nor any assumption of generic superpotentials.
The result also confirms the well-known fact that tree level supersymmetry
breaking is a very rare occurrence in global supersymmetric theories with
minimal K\"ahler potentials. The implication for effective field theory method
in the landscape is discussed and we point out that choosing models with
minimal K\"ahler potentials may result in unexpected answers to the vacuum
statistics. Supergravity theories or theories with non-minimal K\"ahler
potentials in general do not suffer from the existence of instability or
degeneracy. But very strong gauge dynamics or small compactification dimension
reduces the K\"ahler potential from non-minimal to minimal, and gravity
decoupling limit reduces supergravity to global supersymmetry. Instability or
degeneracy may appear in these limits. Away from these limits, a large number
of non-SUSY vacua may still be found in an intermediate region.


title:
Superstring in the pp-wave background with RR flux as a conformal field
  theory

abstract:
  We provide a concise description of our recent work on the exact conformal
field theory (CFT) formulation of the superstring in the pp-wave background
with Ramond-Ramond (RR) flux, using the Green-Schwarz formalism in the
semi-light-cone conformal gauge. Due to the presence of the RR flux, the left-
and the right-moving degrees of freedom on the worldsheet are inherently
coupled and this makes the canonical analysis intractable even at the classical
level. To overcome this difficulty, we develop a phase-space formulation which
does not make use of the equations of motion, and construct two independent
sets of Virasoro generators classically. Upon quantization, due to the presence
of the RR flux, the Virasoro algebra generically develops quantum operator
anomalies and only with a judicious choice of normal ordering rescription they
cancel between the bosonic and the fermionic contributions. With such properly
defined quantum Virasoro generators, one can construct the BRST operators and
demonstrate that the BRST cohomology analysis reproduces the physical spectrum
previously obtained in the light-cone gauge.


title: Multi-center clinical trials: Randomization and ancillary statistics

abstract:
  The purpose of this paper is to investigate and develop methods for analysis
of multi-center randomized clinical trials which only rely on the randomization
process as a basis of inference. Our motivation is prompted by the fact that
most current statistical procedures used in the analysis of randomized
multi-center studies are model based. The randomization feature of the trials
is usually ignored. An important characteristic of model based analysis is that
it is straightforward to model covariates. Nevertheless, in nearly all model
based analyses, the effects due to different centers and, in general, the
design of the clinical trials are ignored. An alternative to a model based
analysis is to have analyses guided by the design of the trial. Our development
of design based methods allows the incorporation of centers as well as other
features of the trial design. The methods make use of conditioning on the
ancillary statistics in the sample space generated by the randomization
process. We have investigated the power of the methods and have found that, in
the presence of center variation, there is a significant increase in power. The
methods have been extended to group sequential trials with similar increases in
power.


title: Should the democrats move to the left on economic policy?

abstract:
  Could John Kerry have gained votes in the 2004 Presidential election by more
clearly distinguishing himself from George Bush on economic policy? At first
thought, the logic of political preferences would suggest not: the Republicans
are to the right of most Americans on economic policy, and so in a
one-dimensional space with party positions measured with no error, the optimal
strategy for the Democrats would be to stand infinitesimally to the left of the
Republicans. The median voter theorem suggests that each party should keep its
policy positions just barely distinguishable from the opposition. In a
multidimensional setting, however, or when voters vary in their perceptions of
the parties' positions, a party can benefit from putting some daylight between
itself and the other party on an issue where it has a public-opinion advantage
(such as economic policy for the Democrats). We set up a plausible theoretical
model in which the Democrats could achieve a net gain in votes by moving to the
left on economic policy, given the parties' positions on a range of issue
dimensions. We then evaluate this model based on survey data on voters'
perceptions of their own positions and those of the candidates in 2004. Under
our model, it turns out to be optimal for the Democrats to move slightly to the
right but staying clearly to the left of the Republicans' current position on
economic issues.


title:
Finite-Temperature Phase Diagram of Quasi-One-Dimensional Molecular
  Conductors: Quantum Monte Carlo Study

abstract:
  Finite-temperature phase transitions in quasi-one-dimensional quarter-filled
systems are investigated by the extended Hubbard model with electron-lattice
coupling. Using a quantum Monte Carlo method combined with the inter-chain
mean-field approximation, we clarify competing and coexisting behaviors among
charge ordering, dimer Mott, and spin-Peierls states. It is pointed out that an
anharmonicity of lattice distortions plays an important role in multi-critical
behaviors. The results are compared with experimental data for
quasi-one-dimensional molecular conductors such as DCNQI and TMTTF compounds.


title: Conservative statistical post-election audits

abstract:
  There are many sources of error in counting votes: the apparent winner might
not be the rightful winner. Hand tallies of the votes in a random sample of
precincts can be used to test the hypothesis that a full manual recount would
find a different outcome. This paper develops a conservative sequential test
based on the vote-counting errors found in a hand tally of a simple or
stratified random sample of precincts. The procedure includes a natural
escalation: If the hypothesis that the apparent outcome is incorrect is not
rejected at stage $s$, more precincts are audited. Eventually, either the
hypothesis is rejected--and the apparent outcome is confirmed--or all precincts
have been audited and the true outcome is known. The test uses a priori bounds
on the overstatement of the margin that could result from error in each
precinct. Such bounds can be derived from the reported counts in each precinct
and upper bounds on the number of votes cast in each precinct. The test allows
errors in different precincts to be treated differently to reflect voting
technology or precinct sizes. It is not optimal, but it is conservative: the
chance of erroneously confirming the outcome of a contest if a full manual
recount would show a different outcome is no larger than the nominal
significance level. The approach also gives a conservative $P$-value for the
hypothesis that a full manual recount would find a different outcome, given the
errors found in a fixed size sample. This is illustrated with two contests from
November, 2006: the U.S. Senate race in Minnesota and a school board race for
the Sausalito Marin City School District in California, a small contest in
which voters could vote for up to three candidates.


title:
Analytical Calculation of Critical Perturbation Amplitudes and Critical
  Densities by Non-Linear Stability Analysis of a Simple Traffic Flow Model

abstract:
  Driven many-particle systems with nonlinear interactions are known to often
display multi-stability, i.e. depending on the respective initial condition,
there may be different outcomes. Here, we study this phenomenon for traffic
models, some of which show stable and linearly unstable density regimes, but
areas of metastability in between. In these areas, perturbations larger than a
certain critical amplitude will cause a lasting breakdown of traffic, while
smaller ones will fade away. While there are common methods to study linear
instability, non-linear instability had to be studied numerically in the past.
Here, we present an analytical study for the optimal velocity model with a
stepwise specification of the optimal velocity function and a simple kind of
perturbation. Despite various approximations, the analytical results are shown
to reproduce numerical results very well.


title:
$p$-adic Eisenstein-Kronecker series for CM elliptic curves and the
  Kronecker limit formulas

abstract:
  Consider an elliptic curve defined over an imaginary quadratic field $K$ with
good reduction at the primes above $p\geq 5$ and has complex multiplication by
the full ring of integers $\mathcal{O}_K$ of $K$. In this paper, we construct
$p$-adic analogues of the Eisenstein-Kronecker series for such elliptic curve
as Coleman functions on the elliptic curve. We then prove $p$-adic analogues of
the first and second Kronecker limit formulas by using the distribution
relation of the Kronecker theta function.


title: The Kronecker limit formulas via the distribution relation

abstract:
  In this paper, we give a proof of the classical Kronecker limit formulas
using the distribution relation of the Eisenstein-Kronecker series. Using a
similar idea, we then prove $p$-adic analogues of the Kronecker limit formulas
for the $p$-adic Eisenstein-Kronecker functions defined in our previous paper.


title:
Statistical mechanics of lossy compression for non-monotonic multilayer
  perceptrons

abstract:
  A lossy data compression scheme for uniformly biased Boolean messages is
investigated via statistical mechanics techniques. We utilize tree-like
committee machine (committee tree) and tree-like parity machine (parity tree)
whose transfer functions are non-monotonic. The scheme performance at the
infinite code length limit is analyzed using the replica method. Both committee
and parity treelike networks are shown to saturate the Shannon bound. The AT
stability of the Replica Symmetric solution is analyzed, and the tuning of the
non-monotonic transfer function is also discussed.

categories: cond-mat.stat-mech cond-mat.dis-nn cs.IT math.IT


title:
Prediction of multivariate responses with a select number of principal
  components

abstract:
  This paper proposes a new method and algorithm for predicting multivariate
responses in a regression setting. Research into classification of High
Dimension Low Sample Size (HDLSS) data, in particular microarray data, has made
considerable advances, but regression prediction for high-dimensional data with
continuous responses has had less attention. Recently Bair et al (2006)
proposed an efficient prediction method based on supervised principal component
regression (PCR). Motivated by the fact that a larger number of principal
components results in better regression performance, this paper extends the
method of Bair et al in several ways: a comprehensive variable ranking is
combined with a selection of the best number of components for PCR, and the new
method further extends to regression with multivariate responses. The new
method is particularly suited to HDLSS problems. Applications to simulated and
real data demonstrate the performance of the new method. Comparisons with Bair
et al (2006) show that for high-dimensional data in particular the new ranking
results in a smaller number of predictors and smaller errors.


title:
Discussion of: Treelets--An adaptive multi-Scale basis for sparse
  unordered data

abstract:
  Discussion of "Treelets--An adaptive multi-Scale basis for sparse unordered
data" [arXiv:0707.0481]


title: Reach of Future Accelerator and Reactor Neutrino Efforts

abstract:
  Numbers of accelerator and reactor neutrino oscillation experiments aiming to
search finite value of $\theta_{13}$ are starting within a few years. T2K
experiment is a next generation long baseline neutrino experiment starts on
2009, in Japan. A main goal of the T2K experiment is to discover a finite
$\theta_{13}$ by observing $\nu_e$ appearance. Determining $\theta_{13}$ leads
a next search of CP violation in the lepton sector. Status of T2K experiment
and prospects for CP measurement are reported in the report.


title: Neutrino Physics and A4 matter assignments

abstract:
  Tribimaximal lepton mixing can be obtained assuming A4 flavour symmetry. Many
possibilities have been explored in the literature and we give a classification
in terms of A4 representations. We propose some phenomenological and
theoretical criteria to distinguish between different assignment. As example we
consider the possibility to extend A4 to SO(10) grand unified model.


title: Geometrical Bioelectrodynamics

abstract:
  This paper proposes rigorous geometrical treatment of bioelectrodynamics,
underpinning two fast-growing biomedical research fields: bioelectromagnetism,
which deals with the ability of life to produce its own electromagnetism, and
bioelectromagnetics, which deals with the effect on life from external
electromagnetism.
  Keywords: Bioelectrodynamics, exterior geometrical machinery, Dirac-Feynman
quantum electrodynamics, functional electrical stimulation


title:
Geometrical effects and signal delay in time-dependent transport at the
  nanoscale

abstract:
  The nonstationary and steady-state transport through a mesoscopic sample
connected to particle reservoirs via time-dependent barriers is investigated
within the reduced density operator method. The generalized Master equation is
solved via the Crank-Nicolson algorithm by taking into account the memory
kernel which embodies the non-Markovian effects that are commonly disregarded.
We propose a physically reasonable model for the lead-sample coupling which
takes into account the match between the energy of the incident electrons and
the levels of the isolated sample, as well as their overlap at the contacts.
Using a tight-binding description of the system we investigate the effects
induced in the transient current by the spectral structure of the sample and by
the localization properties of its eigenfunctions. In strong magnetic fields
the transient currents propagate along edge states. The behavior of populations
and coherences is discussed, as well as their connection to the tunneling
processes that are relevant for transport.


title:
Discussion of: Treelets--An adaptive multi-scale basis for sparse
  unordered data

abstract:
  Discussion of "Treelets--An adaptive multi-scale basis for sparse unordered
data" [arXiv:0707.0481]


title:
Faddeev-Marchenko scattering for CMV matrices and the Strong Szego
  Theorem

abstract:
  B. Simon proved the existence of the wave operators for the CMV matrices with
Szego class Verblunsky coefficients, and therefore the existence of the
scattering function. Generally, there is no hope to restore a CMV matrix when
we start from the scattering function, in particular, because it does not
contain any information about the (possible) singular measure. Our main point
of interest is the solution of the inverse scattering problem (the heart of the
Faddeev--Marchenko theory), that is, to give necessary and sufficient
conditions on a certain class of CMV matrices such that the restriction of this
correspondence (from a matrix to the scattering function) is one to one. In
this paper we show that the main questions on inverse scattering can be solved
with the help of three important classical results: Adamyan-Arov-Krein (AAK)
Theory, Helson-Szego Theorem and Strong Szego Limit Theorem. Each of these
theorem states the equivalence of certain conditions. Actually, to each theorem
we add one more equivalent condition related to the CMV inverse scattering
problem.


abstract:
  We congratulate Lee, Nadler and Wasserman (henceforth LNW) on a very
interesting paper on new methodology and supporting theory [arXiv:0707.0481].
Treelets seem to tackle two important problems of modern data analysis at once.
For datasets with many variables, treelets give powerful predictions even if
variables are highly correlated and redundant. Maybe more importantly,
interpretation of the results is intuitive. Useful insights about relevant
groups of variables can be gained. Our comments and questions include: (i)
Could the success of treelets be replicated by a combination of hierarchical
clustering and PCA? (ii) When choosing a suitable basis, treelets seem to be
largely an unsupervised method. Could the results be even more interpretable
and powerful if treelets would take into account some supervised response
variable? (iii) Interpretability of the result hinges on the sparsity of the
final basis. Do we expect that the selected groups of variables will always be
sufficiently small to be amenable for interpretation?


title: Global $L^{p}$ estimates for degenerate Ornstein-Uhlenbeck operators

abstract:
  We consider a class of degenerate Ornstein-Uhlenbeck operators in
$\mathbb{R}^{N}$, of the kind \[
\mathcal{A}\equiv\sum_{i,j=1}^{p_{0}}a_{ij}\partial_{x_{i}x_{j}}^{2}
+\sum_{i,j=1}^{N}b_{ij}x_{i}\partial_{x_{j}}% \] where $(a_{ij}) ,(b_{ij}) $
are constant matrices, $(a_{ij}) $ is symmetric positive definite on
$\mathbb{R} ^{p_{0}}$ ($p_{0}\leq N$), and $(b_{ij}) $ is such that
$\mathcal{A}$ is hypoelliptic. For this class of operators we prove global
$L^{p}$ estimates ($1<p<\infty$) of the kind:% \[ \Vert
\partial_{x_{i}x_{j}}^{2}u\Vert_{L^{p}(\mathbb{R}% ^{N})}\leq c\{\Vert
\mathcal{A}u\Vert_{L^{p}(\mathbb{R}^{N})}+\Vert u\Vert_{L^{p}(\mathbb{R}%
^{N})}\} \text{for}i,j=1,2,...,p_{0}% \] and corresponding weak (1,1)
estimates. This result seems to be the first case of global estimates, in
Lebesgue $L^{p}$ spaces, for complete H\"{o}rmander's operators $ \sum
X_{i}^{2}+X_{0},$ proved in absence of a structure of homogeneous group. We
obtain the previous estimates as a byproduct of the following one, which is of
interest in its own:% \[ \Vert \partial_{x_{i}x_{j}}^{2}u\Vert_{L^{p}(S)}\leq
c\Vert Lu\Vert_{L^{p}(S)}% \] for any $u\in C_{0}^{\infty}(S) ,$ where $S$ is
the strip $\mathbb{R}^{N}\times[ -1,1] $ and $L$ is the
Kolmogorov-Fokker-Planck operator $\mathcal{A}-\partial_{t}.$


title: Binding of a 3He impurity to a screw dislocation in solid 4He

abstract:
  Using first-principle simulations for the probability density of finding a
3He atom in the vicinity of the screw dislocation in solid 4He, we determine
the binding energy to the dislocation nucleus E_B = 0.8 \pm 0.1 K and the
density of localized states at larger distances. The specific heat due to 3He
features a peak similar to the one observed in recent experiments, and our
model can also account for the observed increase in shear modulus at low
temperature. We further discuss the role of 3He in the picture of superfluid
defects.


title:
Stark deceleration of OH radicals in low-field-seeking and
  high-field-seeking quantum states

abstract:
  The Stark deceleration of OH radicals in both low-field-seeking and
high-field-seeking levels of the rovibronic ${}^2\Pi_{3/2},v=0,J=3/2$ ground
state is demonstrated using a single experimental setup. Applying
alternating-gradient focusing, OH radicals in their low-field-seeking
${}^2\Pi_{3/2},v=0,J=3/2,f$ state have been decelerated from 345 m/s to 239
m/s, removing 50 % of the kinetic energy using only 27 deceleration stages. The
alternating-gradient decelerator allows to independently control longitudinal
and transverse manipulation of the molecules. Optimized high-voltage switching
sequences for the alternating-gradient deceleration are applied, in order to
adjust the dynamic focusing strength in every deceleration stage to the
changing velocity over the deceleration process. In addition we have also
decelerated OH radicals in their high-field-seeking ${}^2\Pi_{3/2},v=0,J=3/2,e$
state from 355 m/s to 316 m/s. For the states involved, a real crossing of
hyperfine levels occurs at 640 V/cm, which is examined by varying a bias
voltage applied to the electrodes.


abstract:
  This is a discussion of paper "Treelets--An adaptive multi-scale basis for
sparse unordered data" [arXiv:0707.0481] by Ann B. Lee, Boaz Nadler and Larry
Wasserman. In this paper the authors defined a new type of dimension reduction
algorithm, namely, the treelet algorithm. The treelet method has the merit of
being completely data driven, and its decomposition is easier to interpret as
compared to PCR. It is suitable in some certain situations, but it also has its
own limitations. I will discuss both the strength and the weakness of this
method when applied to microarray data analysis.


abstract:
  We would like to congratulate Lee, Nadler and Wasserman on their contribution
to clustering and data reduction methods for high $p$ and low $n$ situations. A
composite of clustering and traditional principal components analysis, treelets
is an innovative method for multi-resolution analysis of unordered data. It is
an improvement over traditional PCA and an important contribution to clustering
methodology. Their paper [arXiv:0707.0481] presents theory and supporting
applications addressing the two main goals of the treelet method: (1) Uncover
the underlying structure of the data and (2) Data reduction prior to
statistical learning methods. We will organize our discussion into two main
parts to address their methodology in terms of each of these two goals. We will
present and discuss treelets in terms of a clustering algorithm and an
improvement over traditional PCA. We will also discuss the applicability of
treelets to more general data, in particular, the application of treelets to
microarray data.


title: Interfacing with Hamiltonian Dynamics

abstract:
  Simple constructions and protocols are demonstrated to allow the
implementation of universal quantum computation on an arbitrarily large quantum
system by controlling a fixed number of spins, vastly reducing the engineering
requirements in comparison to a direct implementation of the circuit model.
Analytic pulse sequences are derived for deterministic gate operation and
system cooling which only require pulse strengths that are comparable to the
intrinsic Hamiltonian of the system.


title: Mastering size and shape of CoPt nanoparticles by flash laser annealing

abstract:
  A major step towards the understanding of intrinsic properties of
nano-objects depends on the ability to obtain assemblies of nanoparticles of a
given size with reduced size dispersion and a well defined shape. The control
of these parameters is a fundamental challenge. In this newsletter, we present
a new method to tailor in an easy way both size and shape characteristics of
nanoparticles by using laser irradiation in the nanosecond regime.


title: Kinetic Equations for Transport Through Single-Molecule Transistors

abstract:
  We present explicit kinetic equations for quantum transport through a general
molecular quantum-dot, accounting for all contributions up to 4th order
perturbation theory in the tunneling Hamiltonian and the complete molecular
density matrix. Such a full treatment describes not only sequential,
cotunneling and pair tunneling, but also contains terms contributing to
renormalization of the molecular resonances as well as their broadening. Due to
the latter all terms in the perturbation expansion are automatically
well-defined for any set of system parameters, no divergences occur and no
by-hand regularization is required. Additionally we show that, in contrast to
2nd order perturbation theory, in 4th order it is essential to account for
quantum coherence between non-degenerate states, entering the theory through
the non-diagonal elements of the density matrix. As a first application, we
study a single-molecule transistor coupled to a localized vibrational mode
(Anderson-Holstein model). We find that cotunneling-assisted sequential
tunneling processes involving the vibration give rise to current peaks i.e.
negative differential conductance in the Coulomb-blockade regime. Such peaks
occur in the cross-over to strong electron-vibration coupling, where inelastic
cotunneling competes with Franck-Condon suppressed sequential tunneling, and
thereby indicate the strength of the electron-vibration coupling. The peaks
depend sensitively on the coupling to a dissipative bath, thus providing also
an experimental probe of the Q-factor of the vibrational motion.


title:
Rejoinder of: Treelets--An adaptive multi-scale basis for spare
  unordered data

abstract:
  Rejoinder of "Treelets--An adaptive multi-scale basis for spare unordered
data" [arXiv:0707.0481]


title: The conductance of superconducting-normal hybrid structures

abstract:
  The dc conductance of normal-superconducting hybrid structures is discussed.
It is shown that since the Bogoliubov-DeGennes (BDG) equation does not conserve
charge, its application to create a Landauer-type approach for the conductance
of the NSN system is problematic. We `mend' this deficiency by calculating the
conductance from the Kubo formula for a ring configuration (for this geometry
the solutions of the BDG equation conserve charge). We show that the presence
of a superconductor segment within an otherwise normal metal may {\em reduce}
the overall conductance of the composite structure. This reduction enhances the
tendency of the NS composite to become insulating.


title: High fidelity state transfer in binary tree spin networks

abstract:
  Quantum state propagation over binary tree configurations is studied in the
context of quantum spin networks. For binary tree of order two a simple
protocol is presented which allows to achieve arbitrary high transfer fidelity.
It does not require fine tuning of local fields and two-nodes coupling of the
intermediate spins. Instead it assumes simple local operations on the intended
receiving node: their role is to brake the transverse symmetry of the network
that induces an effective refocusing of the propagating signals. Some ideas on
how to scale up these effect to binary tree of arbitrary order are discussed.


title: Half period theorem of binary black holes

abstract:
  Merging event horizons of the binary black holes is investigated. While
recent development of the numerical study of the binary black hole coalescence
has shown that their apparent horizons can orbit for many periods, we study the
orbital motion of the event horizon. We discuss how many periods their event
horizons orbit before their coalescence. Then, we find that they soon merge
into one and the black holes cannot orbit for a half period while the apparent
horizons can orbit many times.


title: Tailoring the Fermi level of the leads in molecular-electronic devices

abstract:
  The dependence of the transport properties on the specific location of the
Fermi level in molecular electronics devices is studied by using electrodes of
different materials. The zero-bias transport properties are shown to depend
dramatically on the elemental composition of the electrodes, even though the
shape of the transmission coefficients is very similar. By using alkaline
materials it is possible to move the Fermi level from the HOMO-LUMO gap to the
LUMO resonance and change dramatically the length dependence of the conductance
of molecular wires, which opens the possibility of using molecules with
different lengths and very similar conductances in nanoscale circuits. This
method shows how to dramatically increase the conductance of molecular devices
and alter qualitatively and quantitatively their electronic and transport
properties.


title: Nanomachining of multilayer graphene using an atomic force microscope

abstract:
  An atomic force microscope is used to structure a film of multilayer
graphene. The resistance of the sample was measured in-situ during
nanomachining a narrow trench. We found a reversible behavior in the electrical
resistance which we attribute to the movement of dislocations. After several
attempts also permanent changes are observed. Two theoretical approaches are
presented to approximate the measured resistance.


title: Homology cylinders and sutured manifolds for homologically fibered knots

abstract:
  Sutured manifolds defined by Gabai are useful in the geometrical study of
knots and 3-dimensional manifolds. On the other hand, homology cylinders are in
an important position in the recent theory of homology cobordisms of surfaces
and finite-type invariants. We study a relationship between them by focusing on
sutured manifolds associated with a special class of knots which we call {\it
homologically fibered knots}. Then we use invariants of homology cylinders to
give applications to knot theory such as fibering obstructions, Reidemeister
torsions and handle numbers of homologically fibered knots.


title:
UDP: an integral management system of embedded scripts implemented into
  the IMaX instrument of the Sunrise mission

abstract:
  The UDP (User Defined Program) system is a scripting framework for
controlling and extending instrumentation software. It has been specially
designed for air- and space-borne instruments with flexibility, error control,
reuse, automation, traceability and ease of development as its main objectives.
All the system applications are connected through a database containing the
valid script commands including descriptive information and source code. The
system can be adapted to different projects without changes in the framework
tools, thus achieving great level of flexibility and reusability. The UDP
system comprises: an embedded system for the execution of scripts by the
instrument software; automatic tools for aiding in the creation, modification,
documentation and tracing of new scripting language commands; and interfaces
for the creation of scripts and execution control.


title: Summary of the DUNE Mission Concept

abstract:
  The Dark UNiverse Explorer (DUNE) is a wide-field imaging mission concept
whose primary goal is the study of dark energy and dark matter with
unprecedented precision. To this end, DUNE is optimised for weak gravitational
lensing, and also uses complementary cosmolo gical probes, such as baryonic
oscillations, the integrated Sachs-Wolf effect, a nd cluster counts. Immediate
additional goals concern the evolution of galaxies, to be studied with
groundbreaking statistics, the detailed structure of the Milky Way and nearby
galaxies, and the demographics of Earth-mass planets. DUNE is a medium class
mission consisting of a 1.2m telescope designed to carry out an all-sky survey
in one visible and three NIR bands (1deg$^2$ field-of-view) which will form a
unique legacy for astronomy. DUNE has been selected jointly with SPACE for an
ESA Assessment phase which has led to the Euclid merged mission concept.


title: The focal plane instrumentation for the DUNE mission

abstract:
  DUNE (Dark Universe Explorer) is a proposed mission to measure parameters of
dark energy using weak gravitational lensing The particular challenges of both
optical and infrared focal planes and the DUNE baseline solution is discussed.
The DUNE visible Focal Plane Array (VFP) consists of 36 large format
red-sensitive CCDs, arranged in a 9x4 array together with the associated
mechanical support structure and electronics processing chains. Four additional
CCDs dedicated to attitude control measurements are located at the edge of the
array. All CCDs are 4096 pixel red-enhanced e2v CCD203-82 devices with square
12 $\mu$m pixels, operating from 550-920nm. Combining four rows of CCDs
provides a total exposure time of 1500s. The VFP will be used in a closed-loop
system by the spacecraft, which operates in a drift scan mode, in order to
synchronize the scan and readout rates. The Near Infrared (NIR) FPA consists of
a 5 x 12 mosaic of 60 Hawaii 2RG detector arrays from Teledyne, NIR bandpass
filters for the wavelength bands Y, J, and H, the mechanical support structure,
and the detector readout and signal processing electronics. The FPA is operated
at a maximum temperature of 140 K for low dark current of 0.02e$-$/s. Each
sensor chip assembly has 2048 x 2048 square pixels of 18 $\mu$m size (0.15
arcsec), sensitive in the 0.8 to 1.7 $\mu$m wavelength range. As the spacecraft
is scanning the sky, the image motion on the NIR FPA is stabilized by a
de-scanning mirror during the integration time of 300 s per detector. The total
integration time of 1500 seconds is split among the three NIR wavelengths
bands. DUNE has been proposed to ESA's Cosmic Vision program and has been
jointly selected with SPACE for an ESA Assessment Phase which has led to the
joint Euclid mission concept.


title: A short proof and a generalization of the BKR-inequality

abstract: There is a serious mistake in the proof.


title:
Duality Rotations in Nonlinear Electrodynamics and in Extended
  Supergravity

abstract:
  We review the general theory of duality rotations which, in four dimensions,
exchange electric with magnetic fields. Necessary and sufficient conditions in
order for a theory to have duality symmetry are established. A nontrivial
example is Born-Infeld theory with n abelian gauge fields and with Sp(2n,R)
self-duality. We then review duality symmetry in supergravity theories. In the
case of N=2 supergravity duality rotations are in general not a symmetry of the
theory but a key ingredient in order to formulate the theory itself. This is
due to the beautiful relation between the geometry of special Kaehler manifolds
and duality rotations.


title: The time horizon and its role in multiple species conservation planning

abstract:
  Survival probability within a certain time horizon T is a common measure of
population viability. The choice of T implicitly involves a time preference,
similar to economic discounting: Conservation success is evaluated at the time
horizon T, while all effects that occur later than T are not considered.
Despite the obvious relevance of the time horizon, ecological studies seldom
analyze its impact on the evaluation of conservation options. In this paper, we
show that, while the choice of T does not change the ranking of conservation
options for single species under stationary conditions, it may substantially
change conservation decisions for multiple species. We conclude that it is of
crucial importance to investigate the sensitivity of model results to the
choice of the time horizon or other measures of time preference when
prioritizing biodiversity conservation efforts.


title: New identities for the Glasser transform and their applications

abstract:
  In the present paper the authors show that an iteration of the
$\mathscr{L}_{2}$-transform by itself is a constant multiple of the Glasser
transform. Using this iteration identity, a Parseval-Goldstein type theorem for
$\mathscr{L}_{2}$-transform and the Glasser transform is given. By making use
of these results a number of new Parseval-Goldstein type identities are
obtained for these and many other well-known integral transforms. The
identities proven in this paper are shown to give rise to useful corollaries
for evaluating infinite integrals of special functions. Some examples are also
given as illustration of the results presented here.


title: Universal scaling in the branching of the Tree of Life

abstract:
  Understanding the patterns and processes of diversification of life in the
planet is a key challenge of science. The Tree of Life represents such
diversification processes through the evolutionary relationships among the
different taxa, and can be extended down to intra-specific relationships. Here
we examine the topological properties of a large set of interspecific and
intraspecific phylogenies and show that the branching patterns follow
allometric rules conserved across the different levels in the Tree of Life, all
significantly departing from those expected from the standard null models. The
finding of non-random universal patterns of phylogenetic differentiation
suggests that similar evolutionary forces drive diversification across the
broad range of scales, from macro-evolutionary to micro-evolutionary processes,
shaping the diversity of life on the planet.


title:
Scaling Relation between Sunyaev-Zel'dovich Effect and X-ray Luminosity
  and Scale-Free Evolution of Cosmic Baryon Field

abstract:
  It has been revealed recently that, in the scale free range, i.e. from the
scale of the onset of nonlinear evolution to the scale of dissipation, the
velocity and mass density fields of cosmic baryon fluid are extremely well
described by the self-similar log-Poisson hierarchy. As a consequence of this
evolution, the relations among various physical quantities of cosmic baryon
fluid should be scale invariant, if the physical quantities are measured in
cells on scales larger than the dissipation scale, regardless the baryon fluid
is in virialized dark halo, or in pre-virialized state. We examine this
property with the relation between the Compton parameter of the thermal
Sunyaev-Zel'dovich effect, $y(r)$, and X-ray luminosity, $L_{\rm x}(r)$, where
$r$ being the scale of regions in which $y$ and $L_{\rm x}$ are measured.
According to the self-similar hierarchical scenario of nonlinear evolution, one
should expect that 1.) in the $y(r)$-$L_x(r)$ relation, $y(r)=10^{A(r)}[L_{\rm
x}(r)]^{\alpha(r)}$, the coefficients $A(r)$ and $\alpha(r)$ are
scale-invariant; 2.) The relation $y(r)=10^{A(r)}[L_{\rm x}(r)]^{\alpha(r)}$
given by cells containing collapsed objects is also available for cells without
collapsed objects, only if $r$ is larger than the dissipation scale. These two
predictions are well established with a scale decomposition analysis of
observed data, and a comparison of observed $y(r)$-$L_x(r)$ relation with
hydrodynamic simulation samples. The implication of this result on the
characteristic scales of non-gravitational heating is also addressed.


title:
Materials Design using Correlated Oxides: Optical Properties of Vanadium
  Dioxide

abstract:
  Materials with strong electronic Coulomb interactions play an increasing role
in modern materials applications. "Thermochromic" systems, which exhibit
thermally induced changes in their optical response, provide a particularly
interesting case. The optical switching associated with the metal-insulator
transition of vanadium dioxide (VO2), for example, has been proposed for use in
"intelligent" windows, which selectively filter radiative heat in hot weather
conditions. In this work, we develop the theoretical tools for describing such
a behavior. Using a novel scheme for the calculation of the optical
conductivity of correlated materials, we obtain quantitative agreement with
experiments for both phases of VO2. On the example of an optimized
energy-saving window setup, we further demonstrate that theoretical materials
design has now come into reach, even for the particularly challenging class of
correlated electron systems.


title:
Applications of a generalization of the nonlinear sigma model with O(d)
  group of symmetry to the dynamics of a constrained chain

abstract:
  Subject of this work are the applications of a field theoretical model,
called here generalized nonlinear sigma model or simply GNLSM,to the dynamics
of a chain subjected to constraints. Chains with similar properties and
constraints have been discussed in a seminal paper of Edwards and Goodyear
using an approach based on the Langevin equation. The GNLSM has been proposed
in a previous publication in order to describe the dynamics of a two
dimensional chain. In this paper the model is extended to d dimensions and a
bending energy term is added to its action. As an application, two observables
are computed in the case of a very stiff chain. The first observable is the
dynamical form factor of a ring shaped chain. The second observable is a
straightforward generalization to dynamics of the static form factor. This
observable is relevant in order to estimate the average distance between two
arbitrary points of the chain. Finally, a variant of the GNLNM is presented, in
which the topological conditions which constrain the motion of two linked
chains are imposed with the help of the Gauss linking invariant.


title: New anatomy of quantum holonomy

abstract:
  We present a unified formulation of quantum holonomy which is capable of
describing all of its known varieties. The full role of non-Abelian gauge
connection is elucidated. As examples, solvable models of quantum kicked spin
are analyzed. They are shown to exhibit spiral holonomy, as well as Berry phase
and Wilczek-Zee holonomy.

categories: quant-ph cond-mat.mes-hall hep-th math-ph math.MP nucl-th


title:
Density Functional Theory of Inhomogeneous Liquids: III. Liquid-Vapor
  Nucleation

abstract:
  The process of nucleation of vapor bubbles from a superheated liquid and of
liquid droplets from a supersaturated vapor is investigated using the
Modified-Core van der Waals model Density Functional Theory (Lutsko, JCP 128,
184711 (2008)). A novel approach is developed whereby nucleation is viewed as a
transition from a metastable state to a stable state via the minimum free
energy path which is identified using the nudged elastic-band method for
exploring free energy surfaces. This allows for the unbiased calculation of the
properties of sub- and super-critical clusters, as well as of the critical
cluster. For Lennard-Jones fluids, the results compare well to simulation and
support the view that even at high supersaturation nucleation proceeds smoothly
rather than via spinodal-like instabilities as has been suggested recently.


title:
HERA signature-based searches I: events with isolated leptons and
  missing transverse momentum at HERA

abstract:
  Recent results of searches for events containing isolated leptons and missing
transverse momentum at HERA are presented. Searches in this final state have
yielded notable excesses over Standard Model expectations in the past. Searches
for isolated leptons in channels corresponding to all three generations of
leptons over the full HERA running period are now available. The combined
H1+ZEUS results for searches for electrons and muons are compatible with the
Standard Model.


title:
Raman spectra of epitaxial graphene on SiC and of epitaxial graphene
  transferred to SiO2

abstract:
  Raman spectra were measured for mono-, bi- and trilayer graphene grown on SiC
by solid state graphitization, whereby the number of layers was pre-assigned by
angle-resolved ultraviolet photoemission spectroscopy. It was found that the
only unambiguous fingerprint in Raman spectroscopy to identify the number of
layers for graphene on SiC(0001) is the linewidth of the 2D (or D*) peak. The
Raman spectra of epitaxial graphene show significant differences as compared to
micromechanically cleaved graphene obtained from highly oriented pyrolytic
graphite crystals. The G peak is found to be blue-shifted. The 2D peak does not
exhibit any obvious shoulder structures but it is much broader and almost
resembles a single-peak even for multilayers. Flakes of epitaxial graphene were
transferred from SiC onto SiO2 for further Raman studies. A comparison of the
Raman data obtained for graphene on SiC with data for epitaxial graphene
transferred to SiO2 reveals that the G peak blue-shift is clearly due to the
SiC substrate. The broadened 2D peak however stems from the graphene structure
itself and not from the substrate.


title:
Direct observation of nanometer-scale pinning sites in
  (Nd$_{0.33}$,Eu$_{0.20}$,Gd$_{0.47}$)Ba$_2$Cu$_3$O$_{7-\delta}$ single
  crystals

abstract:
  We report on the observation of self-organized stripe-like structures on the
as-grown surface and in the bulk of (Nd,Eu,Gd)Ba$_2$Cu$_3$O$_y$ single
crystals. The periodicity of the stripes on the surface lies between 500 and
800 nm. These are possibly the growth steps of the crystal. Transmission
electron microscopy investigations revealed stripes of periodicity in the range
of 20 to 40 nm in the bulk. From electron back scattered diffraction
investigations, no crystallographic misorientation due to the nanostripes has
been found. Scanning tunneling spectroscopic experiments revealed
nonsuperconducting regions, running along twin directions, which presumably
constitute strong pinning sites.


title: A duality theorem for Dieudonne displays

abstract:
  We show that the Zink equivalence between p-divisible groups and Dieudonne
displays over a complete local ring with perfect residue field of
characteristic p is compatible with duality. The proof relies on a new explicit
formula for the p-divisible group associated to a Dieudonne display.


title: Modularity clustering is force-directed layout

abstract:
  Two natural and widely used representations for the community structure of
networks are clusterings, which partition the vertex set into disjoint subsets,
and layouts, which assign the vertices to positions in a metric space. This
paper unifies prominent characterizations of layout quality and clustering
quality, by showing that energy models of pairwise attraction and repulsion
subsume Newman and Girvan's modularity measure. Layouts with optimal energy are
relaxations of, and are thus consistent with, clusterings with optimal
modularity, which is of practical relevance because both representations are
complementary and often used together.


title:
A gradient system on the quantum information space that realizes the
  Karmarkar flow for linear programming

abstract:
  In the paper of Uwano [Czech. J. of Phys., vol.56, pp.1311-1316 (2006)], a
gradient system is found on the space of density matrices endowed with the
quantum SLD Fisher metric (to be referred to as the quantum information space)
that realizes a generalization of a gradient system on the space of multinomial
distributions studied by Nakamura [Japan J. Indust. Appl. Math., vol.10,
pp.179-189 (1993)]. On motived by those papers, the present paper aims to
construct a gradient system on the quantum information space that realizes the
Karmarkar flow, the continuous limit of the Karmarkar projective scaling
algorithm for linear programming.


title: D2 to M2 Procedure for D2-Brane DBI Effective Action

abstract:
  We apply the procedure that was suggested in [arXiv:0806.1639] to the case of
abelian D2-brane Dirac-Born-Infeld effective action and discuss its limitation.
Then we suggest an alternative form of this procedure that is based on an
existence of interpolating action proposed in [hep-th/9707113,hep-th/9707011].


title:
Preliminary optical design of PANIC, a wide-field infrared camera for
  CAHA

abstract:
  In this paper, we present the preliminary optical design of PANIC (PAnoramic
Near Infrared camera for Calar Alto), a wide-field infrared imager for the
Calar Alto 2.2 m telescope. The camera optical design is a folded single
optical train that images the sky onto the focal plane with a plate scale of
0.45 arcsec per 18 micron pixel. A mosaic of four Hawaii 2RG of 2k x 2k made by
Teledyne is used as detector and will give a field of view of 31.9 arcmin x
31.9 arcmin. This cryogenic instrument has been optimized for the Y, J, H and K
bands. Special care has been taken in the selection of the standard IR
materials used for the optics in order to maximize the instrument throughput
and to include the z band. The main challenges of this design are: to produce a
well defined internal pupil which allows reducing the thermal background by a
cryogenic pupil stop; the correction of off-axis aberrations due to the large
field available; the correction of chromatic aberration because of the wide
spectral coverage; and the capability of introduction of narrow band filters
(~1%) in the system minimizing the degradation in the filter passband without a
collimated stage in the camera. We show the optomechanical error budget and
compensation strategy that allows our as built design to met the performances
from an optical point of view. Finally, we demonstrate the flexibility of the
design showing the performances of PANIC at the CAHA 3.5m telescope.