title: The Wouthuysen-Field effect in a clumpy intergalactic medium

abstract:
  We show that, due to the high optical depth of the intergalactic medium to
Lyman-alpha photons before the Epoch of Reionization, the Lyman-alpha
scattering rate responsible for the Wouthuysen-Field effect from an isolated
source will be negligible unless (1) there is sufficient time for the
scattering photons to establish a steady state, or (2) the scattering gas is
undergoing internal expansion or has a peculiar motion of tens to hundreds of
km/s away from the source. We present steady-state solutions in the radiative
diffusion approximation for the radiation field trapped in a clump of gas and
show that this may result in an enhancement, by a factor of up to 10^6, of the
strength of the Wouthuysen-Field effect over that obtained from the
free-streaming limit. Solutions to the time-dependent diffusion equation,
however, suggest that the timescales required to reach such a steady state will
generally exceed the source lifetimes. In the presence of internal expansion, a
steady state may be established as photons are redshifted into the red wing,
and significant enhancement in the scattering rate may again be produced.
Alternatively, a substantial scattering rate may arise in systems with a
peculiar motion away from the source that redshifts the received radiation into
the resonance line centre. As a consequence, at epochs z<30, when collisional
decoupling is small except in dense regions, and prior to the establishment of
any large-scale diffuse radiation field of resonance line photons, the 21cm
signature from the Intergalactic Medium produced by the Wouthuysen-Field effect
will in general trace the peculiar velocity field of the gas in addition to its
density structure.


title: Discrete extrinsic curvatures based on polar polyhedra concept

abstract:
  Duality principle for approximation of geometrical objects (also known as
Eudoxus exhaustion method) was extended and perfected by Archimedes in his
famous tractate "Measurement of circle". The main idea of the approximation
method by Archimedes is to construct a sequence of pairs of inscribed and
circumscribed polygons (polyhedra) which approximate curvilinear convex body.
This sequence allows to approximate length of curve, as well as area and volume
of the bodies and to obtain error estimates for approximation. In this work it
is shown that a sequence of pairs of locally polar polyhedra allows to
construct piecewise-affine approximation to scherical Gauss map, to construct
convergent point-wise approximations to mean and Gauss curvature, as well as to
obtain natural discretizations of bending energies.


title:
CP asymmetry in the decays B --> (X_s, X_d) mu+ mu- with four
  generations

abstract:
  We estimate the CP asymmetry A_{CP}(q^2) in the decays B --> X_s mu+ mu- and
B --> X_d mu+ mu- in the standard model (SM) with an additional fourth
generation. We use a parametrization that allows us to explore the complete
parameter space of the 4X4 quark mixing matrix, and constrain these parameters
from the current data on B decays. We find that the enhancement in A_{CP}(q^2)
depends strongly on the mass of the t', the up-type quark in the fourth
generation. For m_t' around 400 GeV, the CP asymmetry in the high-q^2 region
(q^2 > 14.4 GeV^2) can be enhanced by more than an order of magnitude for B -->
X_s mu+ mu- and up to a factor of 6 for B --> X_d mu+ mu-. There is no
enhancement in the low-q^2 region (1< q^2 <6 GeV^2). With increasing m_t', the
A_{CP}(q^2) in the high-q^2 (low-q^2) region first decreases (increases) and
then saturates at a value a few times the SM prediction. In the high-q^2 region
of B --> X_s mu+ mu-, this saturation value may be up to 25 times the SM
expectation.


title: Soft Probes of SU(5) Unification

abstract:
  We explore the sparticle and Higgs spectroscopy of an SU(5) inspired
extension of the constrained minimal supersymmetric standard model (CMSSM). The
universal soft parameter m_0 is replaced by m_{\bar 5} and m_{10}, where
m_{\bar 5} and m_{10} denote universal soft scalar masses associated with
fields in the five and ten dimensional representations of SU(5). The special
case m_{\bar 5} << m_{10} yields a rather characteristic sparticle spectroscopy
which can be tested at the LHC. We highlight a few benchmark points in which
the lightest neutralino saturates the WMAP bound on cold dark matter abundance.


title:
Quasiparticle excitations and dynamic susceptibilities in the BCS-BEC
  crossover

abstract:
  We study dynamic ground state properties in the crossover from weak (BCS) to
strong coupling (BEC) superfluidity. Our approach is based on the attractive
Hubbard model which is analyzed by the dynamical mean field theory (DMFT)
combined with the numerical renormalization group (NRG). We present an
extension of the NRG method for effective impurity models to selfconsistent
calculations with superconducting symmetry breaking. In the one particle
spectra we show quantitatively how the Bogoliubov quasiparticles at weak
coupling become suppressed at intermediate coupling. We also present results
for the spin and charge gap. The extension of the NRG method to selfconsistent
superconducting solutions opens the possibility to study a range of other
important applications.


title: Shell model half-lives for r-process N=82 nuclei

abstract:
  We have performed shell-model calculations of the half-lives and
neutron-branching probabilities of the r-process waiting point nuclei at the
magic neutron number N=82. These new calculations use a larger model space than
previous shell model studies and an improved residual interaction which is
adjusted to recent spectroscopic data around A=130. Our shell-model results
give a good account of all experimentally known half-lives and $Q_\beta$-values
for the N=82 r-process waiting point nuclei. Our half-life predictions for the
N=82 nuclei with Z=42--46 agree well with recent estimates based in the
energy-density functional method.


title:
Asymptotic stability of the wave equation on compact surfaces and
  locally distributed damping - A sharp result

abstract:
  This paper is concerned with the study of the wave equation on compact
surfaces and locally distributed damping. We study the case where the damping
is effective in a well-chosen subset of arbitrarily small measure.


title:
Model calculations of the Sivers function satisfying the Burkardt Sum
  Rule

abstract:
  It is shown that, at variance with previous analyses, the MIT bag model can
explain the available data of the Sivers function and satisfies the Burkardt
Sum Rule to a few percent accuracy. The agreement is similar to the one
recently found in the constituent quark model. Therefore, these two model
calculations of the Sivers function are in agreement with the present
experimental and theoretical wisdom.


title:
Role of density fluctuations in the relaxation of random dislocation
  systems

abstract:
  We study the relaxation dynamics of systems of straight, parallel crystal
dislocations, starting from initially random and uncorrelated positions of the
individual dislocations. A scaling model of the relaxation process is
constructed by considering the gradual extinction of the initial density
fluctuations present in the system. The model is validated by ensemble
simulations of the discrete dynamics of dislocations. Convincing agreement is
found for systems of edge dislocations in single slip irrespective of the net
Burgers vector of the dislocation system. It is also demonstrated that the
model does not work in multiple slip geometries.


title: Conditional stability of unstable viscous shocks

abstract:
  Continuing a line of investigation initiated by Texier and Zumbrun on
dynamics of viscous shock and detonation waves, we show that a linearly
unstable Lax-type viscous shock solution of a semilinear strictly parabolic
system of conservation laws possesses a translation-invariant center stable
manifold within which it is nonlinearly orbitally stable with respect to small
$L^1\cap H^2$ perturbatoins, converging time-asymptotically to a translate of
the unperturbed wave. That is, for a shock with $p$ unstable eigenvalues, we
establish conditional stability on a codimension-$p$ manifold of initial data,
with sharp rates of decay in all $L^p$. For $p=0$, we recover the result of
unconditional stability obtained by Howard, Mascia, and Zumbrun.


title: Experimental results on neutrino oscillations

abstract:
  The phenomenon of neutrino oscillation has been firmly established: neutrinos
change their flavor in their path from their source to observers. This paper is
dedicated to the description of experimental results in the oscillation field,
of their present understanding and of possible future developments in
experimental neutrino oscillation physics.


title: Restricted Dislocation Motion in Crystals of Colloidal Dimer Particles

abstract:
  At high area fractions, monolayers of colloidal dimer particles form a
degenerate crystal (DC) structure in which the particle lobes occupy triangular
lattice sites while the particles are oriented randomly along any of the three
lattice directions. We report that dislocation glide in DCs is blocked by
certain particle orientations. The mean number of lattice constants between
such obstacles is 4.6 +/- 0.2 in experimentally observed DC grains and 6.18 +/-
0.01 in simulated monocrystalline DCs. Dislocation propagation beyond these
obstacles is observed to proceed through dislocation reactions. We estimate
that the energetic cost of dislocation pair separation via such reactions in an
otherwise defect free DC grows linearly with final separation, hinting that the
material properties of DCs may be dramatically different from those of 2-D
crystals of spheres.


title:
Scalar Potentials and Accidental Symmetries in Supersymmetric U(1)'
  Models

abstract:
  We address two closely related problems associated with the singlet scalars'
potential that are often present in supersymmetric U(1)' models, especially
those which maintain the gauge unification of the MSSM in a simple way. The
first is the possibility of an accidental global symmetry which results in a
light Goldstone boson. The second is the problem of generating a vacuum
expectation value for more than one field without reintroducing the $\mu$
problem. We give sufficient conditions for addressing both issues and provide a
concrete example to generate them.


title: TeV Gamma-ray Astronomy: The Story So Far

abstract:
  A snapshot is presented of the present status of our knowledge of the TeV
gamma-ray universe. Emphasis is put on observations made using the imaging
atmospheric Cherenkov technique. The capabilities of the present generation of
telescopes is listed. Progress has been dramatic and several features have been
different from what was anticipated. The catalog of sources includes some 78
objects and these are tabulated as extragalactic sources (24), supernovae
remnants (11), pulsar wind nebulae (10), binaries (4), miscellaneous (9),
diffuse high energy sources (3) and unidentified sources (20). Some comments
are made on the factors influencing the past and future development of the
field.


title: SU(2) Kinetic Mixing Terms and Spontaneous Symmetry Breaking

abstract:
  The non-abelian generalization of the Holdom model --{\it i.e.} a theory with
two gauge fields coupled to the kinetic mixing term $g {tr}(F_{\mu \nu} (A)
F_{\mu \nu} (B))$-- is considered. Contrarily to the abelian case, the group
structure $G\times G$ is explicitly broken to $G$. For SU(2) this fact implies
that the residual gauge symmetry as well as the Lorentz symmetry is
spontaneusly broken. We show that this mechanism provides of masses for the
involved particles. Also, the model presents instanton solutions with a
redefined coupling constant.


title:
Bayesian modelling of clusters of galaxies from multi-frequency pointed
  Sunyaev--Zel'dovich observations

abstract:
  We present a Bayesian approach to modelling galaxy clusters using
multi-frequency pointed observations from telescopes that exploit the
Sunyaev--Zel'dovich effect. We use the recently developed MultiNest technique
(Feroz, Hobson & Bridges, 2008) to explore the high-dimensional parameter
spaces and also to calculate the Bayesian evidence. This permits robust
parameter estimation as well as model comparison. Tests on simulated Arcminute
Microkelvin Imager observations of a cluster, in the presence of primary CMB
signal, radio point sources (detected as well as an unresolved background) and
receiver noise, show that our algorithm is able to analyse jointly the data
from six frequency channels, sample the posterior space of the model and
calculate the Bayesian evidence very efficiently on a single processor. We also
illustrate the robustness of our detection process by applying it to a field
with radio sources and primordial CMB but no cluster, and show that indeed no
cluster is identified. The extension of our methodology to the detection and
modelling of multiple clusters in multi-frequency SZ survey data will be
described in a future work.


title:
The Poisson equation on complete manifolds with positive spectrum and
  applications

abstract:
  In this paper we investigate the existence of a solution to the Poisson
equation on complete manifolds with positive spectrum and Ricci curvature
bounded from below. We show that if a function $f$ has decay
$f=O(r^{-1-\varepsilon}) $ for some $\varepsilon >0,$ where $r$ is the distance
function to a fixed point, then the Poisson equation $\Delta u=f$ has a
solution $u$ with at most exponential growth.
  We apply this result on the Poisson equation to study the existence of
harmonic maps between complete manifolds and also existence of Hermitian
Einstein metrics on holomorphic vector bundles over complete manifolds, thus
extending some results of Li-Tam and Ni.
  Assuming that the manifold is simply connected and of Ricci curvature between
two negative constants, we can prove that in fact the Poisson equation has a
bounded solution and we apply this result to the Ricci flow on complete
surfaces.


title: Stability of drift waves in a field reversed configuration

abstract:
  The drift waves in field-reversed configurations without a toroidal magnetic
field, therefore no shear, play an important role in plasma transport. The
short connection length of the poloidal field in these systems leads to
significant stabilization by influencing the wave particle resonance. The field
reversed configuration is modeled by the cylindrical Bennett pinch in the limit
of large aspect ratio. The radial eigenmode equation for the universal mode is
derived from kinetic theory and the method of quadratic forms is used to study
its stability. The short connection lengths of the field lines lead to ion
Landau damping on the inside of the plasma and the stability of the mode depend
on the value of the temperature ratio Ti/Te


title:
Suppression of the shear viscosity near the critical temperature in hot
  QCD

abstract:
  We consider QCD near but above critical temperature Tc. The pressure,
susceptibilities and the renormalized Polyakov loop -- which is an order
parameter for the deconfining phase transition -- dramatically change up to
temperatures a few times Tc. We refer to this region as a "semi"-QGP, where
partial confinement plays important role. We show that the shear viscosity
,eta, is suppressed by two powers of the Polyakov loop. This suggests that
eta/T^3 decreases markedly as QCD cools down to temperatures near Tc. We also
show a ratio of the viscosity to the entropy becomes small near Tc.


title: First results from simulations of supersymmetric lattices

abstract:
  We conduct the first numerical simulations of lattice theories with exact
supersymmetry arising from the orbifold constructions of
\cite{Cohen:2003xe,Cohen:2003qw,Kaplan:2005ta}. We consider the $\cQ=4$ theory
in $D=0,2$ dimensions and the $\cQ=16$ theory in $D=0,2,4$ dimensions. We show
that the U(N) theories do not possess vacua which are stable
non-perturbatively, but that this problem can be circumvented after truncation
to SU(N). We measure the distribution of scalar field eigenvalues, the spectrum
of the fermion operator and the phase of the Pfaffian arising after integration
over the fermions. We monitor supersymmetry breaking effects by measuring a
simple Ward identity. Our results indicate that simulations of ${\cal N}=4$
super Yang-Mills may be achievable in the near future.


title:
Uniform Stabilization of the wave equation on compact surfaces and
  locally distributed damping

abstract:
  This paper is concerned with the study of the wave equation on compact
surfaces and locally distributed damping. We study the case where the damping
is effective on the complement of visible umbilical sets.


title:
A Golden Standard Type Ia Supernova SN 2005cf: Observations from the
  Ultraviolet to the Near-Infrared Wavebands

abstract:
  We present extensive photometry at ultraviolet (UV), optical, and
near-infrared (NIR) wavelengths, as well as dense sampling of optical spectra,
for the normal type Ia supernova (SN Ia) 2005cf. From the well-sampled light
curves, we find that SN 2005cf reached a B-band maximum at 13.63+/-0.02 mag,
with an observed luminosity decline rate dm_15(B) = 1.05+/-0.03 mag. The
correlations between the decline rate and various color indexes, recalibrated
on the basis of an expanded SN Ia sample, yielded E(B-V)_host=0.09+/-0.03 mag
for SN2005cf. The UV photometry was obtained with the HST and the Swift
Ultraviolet/Optical Telescope, and the results match each other to within
0.1-0.2 mag. The UV light curves show similar evolution to the broadband U,
with an exception in the 2000-2500 Angstrom spectral range (corresponding to
the F220W/uvm2 filters), where the light curve appears broader and much fainter
than that on either side (likely owing to the intrinsic spectral evolution).
Combining the UV data with the ground-based optical and NIR data, we establish
the generic UV-optical-NIR bolometric light curve for SN 2005cf and derive the
bolometric corrections in the absence of UV and/or NIR data. The overall
spectral evolution of SN 2005cf is similar to that of a normal SN Ia, but with
variety in the strength and profile of the main feature lines. The spectra at
early times displayed strong, detached high-velocity (HV) features in the Ca II
H&K doublet and NIR triplet. Similar HV features may exist in the SiII 6355
absorption line which evolved rapidly from a flat-bottomed feature in the
earliest phase to a triangular shape one week before maximum, and may be common
in other normal SNe Ia. The possible origin of the HV absorption features is
briefly discussed (abridged).


title: The Boer-Mulders Function: Models and Universality

abstract:
  The sign of the Boer-Mulders function $h_1^\perp$ is related to the sign of
the GPD $\bar{E}_T$ through the mechanism of chromodynamic lensing. Model
calculations of the sign of $\bar{E}_T$ indicate that the sign of $h_1^\perp$
may be the same in all ground state hadrons.


title: An Improved Limit on the Muon Electric Dipole Moment

abstract:
  Three independent searches for an electric dipole moment (EDM) of the
positive and negative muons have been performed, using spin precession data
from the muon g-2 storage ring at Brookhaven National Laboratory. Details on
the experimental apparatus and the three analyses are presented. Since the
individual results on the positive and negative muon, as well as the combined
result, d=-0.1(0.9)E-19 e-cm, are all consistent with zero, we set a new muon
EDM limit, |d| < 1.9E-19 e-cm (95% C.L.). This represents a factor of 5
improvement over the previous best limit on the muon EDM.


title: Reconstruction of symmetric Potts Models

abstract:
  The reconstruction problem on the tree has been studied in numerous contexts
including statistical physics, information theory and computational biology.
However, rigorous reconstruction thresholds have only been established in a
small number of models. We prove the first exact reconstruction threshold in a
non-binary model establishing the Kesten-Stigum bound for the 3-state Potts
model on regular trees of large degree. We further establish that the
Kesten-Stigum bound is not tight for the $q$-state Potts model when $q \geq 5$.
Moreover, we determine asymptotics for the reconstruction thresholds.


title:
Localized closed timelike curves can perfectly distinguish quantum
  states

abstract:
  We show that qubits traveling along closed timelike curves are a resource
that a party can exploit to distinguish perfectly any set of quantum states. As
a result, an adversary with access to closed timelike curves can break any
prepare-and-measure quantum key distribution protocol. Our result also implies
that a party with access to closed timelike curves can violate the Holevo
bound.


title:
Strong Anomalous Optical Dispersion of Graphene: Complex Refractive
  Index Measured by Picometrology

abstract:
  We apply spinning-disc picometrology to measure the complex refractive index
of graphene on thermal oxide on silicon. The refractive index varies from n =
2.4-1.0i at 532 nm to n = 3.0-1.4i at 633 nm at room temperature. The
dispersion is five times stronger than bulk graphite (2.67-1.34i to 2.73-1.42i
from 532 nm to 633 nm).


title:
Techniques for the Analytic Proof of the Finite Generation of the
  Canonical Ring

abstract:
  This article is written for the Proceedings of the Conference on Current
Developments in Mathematics in Harvard University, November 16-17, 2007. It is
an exposition of the analytic proof of the finite generation of the canonical
ring for a compact complex algebraic manifold of general type. It lists and
discusses the main techniques and explains how they are put together in the
proof. Of the various main techniques some special attention is given to (i)
the technique of discrepancy subspaces and (ii) the technique of subspaces of
minimum additional vanishing.


title: Screening induced temperature dependent transport in 2D graphene

abstract:
  We calculate the temperature dependent conductivity of graphene in the
presence of randomly distributed Coulomb impurity charges arising from the
temperature dependent screening of the Coulomb disorder without any phonons.
The purely electronic temperature dependence of our theory arises from two
independent mechanisms: the explicit temperature dependence of the finite
temperature dielectric function $\epsilon(q,T)$ and the finite temperature
energy averaging of the transport scattering time. We find that the calculated
temperature dependent conductivity is non-monotonic, decreasing with
temperature at low temperatures, and increasing at high temperatures. We
provide a critical comparison with the corresponding physics in
semiconductor-based parabolic band 2D electron gas systems.


title:
Properties of sums of some elementary functions and modeling of
  transitional and other processes

abstract:
  The article presents mathematical generalization of results which originated
as solutions of practical problems, in particular, the modeling of transitional
processes in electrical circuits and problems of resource allocation. However,
the presented findings have broader meaning and can be used for approximation
of transitional and other processes in different areas of science and
technology. We present discovered properties of sums of polynomial, power, and
exponential functions of one variable. It is shown that for an equation
composed of one type of function there is a corresponding equation composed of
functions of the other type. The number of real solutions of such equations and
the number of characteristic points of certain appropriate corresponding
functions are closely related. In particular, we introduce a method similar to
Descartes Rule of Signs that allows finding the maximum number of real
solutions for the power equation and equation composed of sums of exponential
functions. The discovered properties of these functions allow us to improve the
adequacy of mathematical models of real phenomena.


title:
Symmetries and Asymmetries of B -> K* mu+ mu- Decays in the Standard
  Model and Beyond

abstract:
  The rare decay B -> K* (-> K pi) mu+ mu- is regarded as one of the crucial
channels for B physics as the polarization of the K* allows a precise angular
reconstruction resulting in many observables that offer new important tests of
the Standard Model and its extensions. These angular observables can be
expressed in terms of CP-conserving and CP-violating quantities which we study
in terms of the full form factors calculated from QCD sum rules on the
light-cone, including QCD factorization corrections. We investigate all
observables in the context of the Standard Model and various New Physics
models, in particular the Littlest Higgs model with T-parity and various MSSM
scenarios, identifying those observables with small to moderate dependence on
hadronic quantities and large impact of New Physics. One important result of
our studies is that new CP-violating phases will produce clean signals in
CP-violating asymmetries. We also identify a number of correlations between
various observables which will allow a clear distinction between different New
Physics scenarios.


title:
Neutron scattering Measurements of the phonon density of states of
  FeSe$_{1-x}$ superconductors

abstract:
  Inelastic neutron-scattering experiments have been carried out on
polycrystalline samples of the FeSe$_{1-x}$ superconductors. We report the
phonon density of states for FeSe$_{1-x}$ with Tc$\approx$8 K. The phonon
cutoff frequency is observed around 40 meV. No significant change is observed
across the superconducting transition. The measurements support the published
first-principles calculations [A. Subedi et al., Phys. Rev. B \textbf{78},
134514 (2008)].


title:
Uncertainties in Theoretical HeI Emissivities: HII Regions, Primordial
  Abundance, and Cosmological Recombination

abstract:
  A number of recent works in astronomy and cosmology have relied upon
theoretical He I emissivities, but we know of no effort to quantify the
uncertainties in the atomic data. We analyze and assign uncertainties to all
relevant atomic data, perform Monte Carlo analyses, and report standard
deviations in the line emissivities. We consider two sets of errors, which we
call "optimistic" and "pessimistic." We also consider three different
conditions, corresponding to prototypical Galactic and extragalactic H II
regions and the epoch of cosmological recombination. In the extragalactic H II
case, the errors we obtain are comparable to or larger than the errors in some
recent $Y_p$ calculations, including those derived from CMB observations. We
demonstrate a systematic effect on primordial abundance calculations; this
effect cannot be reduced by observing a large number of objects. In the
cosmological recombination case, the errors are comparable to many of the
effects considered in recent calculations.


title: Merging Cold Fronts in the Galaxy Pair NGC 7619 and NGC 7626

abstract:
  We present results from {\it Chandra} observations of the galaxy pair NGC
7619 and NGC 7626, the two dominant members of the Pegasus group. The X-ray
images show a brightness edge associated with each galaxy, which we identify as
merger cold fronts. The edges are sharp, and the axes of symmetry of the edges
are roughly anti-parallel, suggesting that these galaxies are falling towards
one another in the plane of the sky. The detection of merger cold fronts
implies a merging subgroup scenario, since the alternative is that the galaxies
are falling into a pre-existing $\sim1$ keV halo without a dominant galaxy of
its own, and such objects are not observed. We estimate the 3D velocities from
the cold fronts and show that the velocity vectors are indeed most likely close
to the plane of the sky, with a relative velocity of $\sim1190\kms$. The
relative velocity is consistent with what is expected from the infall of two
roughly equal mass subgroups whose total viral mass equals that of the Pegasus
group. We conclude that the Pegasus cluster is currently forming from a major
merger of two subgroups, dominated by NGC 7619 and NGC 7626. NGC 7626 contains
a strong radio source, a core with two symmetric jets and radio lobes. Although
we find no associated structure in the X-ray surface brightness map, the
temperature map reveals a clump of cool gas just outside the southern lobe,
presumably entrained by the lobe, and an extension of cooler gas into the lobe
itself. The jet axis is parallel with the projected direction of motion of NGC
7626 (inferred from the symmetry axis of the merger cold front), and the
southern leading jet is foreshortened as compared to the northern trailing one,
possibly due to the additional ram pressure the forward jet encounters.


title:
Galaxy Mergers and Dark Matter Halo Mergers in LCDM: Mass, Redshift, and
  Mass-Ratio Dependence

abstract:
  We employ a high-resolution LCDM N-body simulation to present merger rate
predictions for dark matter halos and investigate how common merger-related
observables for galaxies--such as close pair counts, starburst counts, and the
morphologically disturbed fraction--likely scale with luminosity, stellar mass,
merger mass ratio, and redshift from z=0 to z=4. We provide a simple
'universal' fitting formula that describes our derived merger rates for dark
matter halos a function of dark halo mass, merger mass ratio, and redshift, and
go on to predict galaxy merger rates using number density-matching to associate
halos with galaxies. For example, we find that the instantaneous merger rate of
m/M>0.3 mass ratio events into typical L > f L* galaxies follows the simple
relation dN/dt=0.03(1+f)(1+z)^2.1 Gyr^-1. Despite the rapid increase in merger
rate with redshift, only a small fraction of >0.4 L* high-redshift galaxies
(~3% at z=2) should have experienced a major merger (m/M >0.3) in the very
recent past (t< 100 Myr). This suggests that short-lived, merger-induced bursts
of star formation should not contribute significantly to the global star
formation rate at early times, in agreement with observational indications. We
emphasize that great care must be made in comparisons to observations because
the predicted observables depend very sensitively on galaxy luminosity,
redshift, overall mass ratio, and uncertain relaxation timescales for merger
remnants. We show that the majority of bright galaxies at z=3 should have
undergone a major merger (>0.3) in the last 700 Myr and conclude that mergers
almost certainly play an important role in delivering baryons and influencing
the kinematic properties of Lyman Break Galaxies (LBGs). (abridged)


title:
The growth of supermassive black holes in pseudo-bulges, classical
  bulges and elliptical galaxies

abstract:
  Using results from structural analysis of a sample of nearly 1000 local
galaxies from the Sloan Digital Sky Survey, we estimate how the mass in central
black holes is distributed amongst elliptical galaxies, classical bulges and
pseudo-bulges, and investigate the relation between their stellar masses and
central stellar velocity dispersion sigma. Assuming a single relation between
elliptical galaxy/bulge mass, M_Bulge, and central black hole mass, M_BH, we
find that 55^{+8}_{-4} per cent of the mass in black holes in the local
universe is in the centres of elliptical galaxies, 41^{+4}_{-2} per cent in
classical bulges and 4^{+0.9}_{-0.4} per cent in pseudo-bulges. We find that
ellipticals, classical bulges and pseudo-bulges follow different relations
between their stellar masses and sigma, and the most significant offset occurs
for pseudo-bulges in barred galaxies. This structural dissimilarity leads to
discrepant black hole masses if single M_BH-M_Bulge and M_BH-sigma relations
are used. Adopting relations from the literature, we find that the M_BH-sigma
relation yields an estimate of the total mass density in black holes that is
roughly 55 per cent larger than if the M_BH-M_Bulge relation is used.


title:
Global phase diagrams of frustrated quantum antiferromagnets in two
  dimensions: doubled Chern-Simons theory

abstract:
  We present a general approach to understanding the quantum phases and phase
transitions of quantum antiferromagnets in two spatial dimensions. We begin
with the simplest spin liquid state, the Z_2 spin liquid, whose elementary
excitations are spinons and visons, carrying Z_2 electric and magnetic charges
respectively. Their dynamics are expressed in terms of a doubled U(1)
Chern-Simons theory, which correctly captures the `topological' order of the
Z_2 spin liquid state. We show that the same theory also yields a description
of the variety of ordered phases obtained when one or more of the elementary
excitations condense. Field theories for the transitions and multicritical
points between these phases are obtained. We also survey experimental results
on antiferromagnets on the anisotropic triangular lattice, and make connections
between their phase diagrams and our results.


title: A Fully Quantum Asymptotic Equipartition Property

abstract:
  The classical asymptotic equipartition property is the statement that, in the
limit of a large number of identical repetitions of a random experiment, the
output sequence is virtually certain to come from the typical set, each member
of which is almost equally likely. In this paper, we prove a fully quantum
generalization of this property, where both the output of the experiment and
side information are quantum. We give an explicit bound on the convergence,
which is independent of the dimensionality of the side information. This
naturally leads to a family of Renyi-like quantum conditional entropies, for
which the von Neumann entropy emerges as a special case.


title: Comparison theorems for the Klein-Gordon equation in d dimensions

abstract:
  Two comparison theorems are established for discrete eigenvalues of the
Klein-Gordon equation with an attractive central vector potential in d >= 1
dimensions. (I) If \psi_1 and \psi_2 are node-free ground states corresponding
to positive energies E_1 >= 0 and E_2 >= 0, and V_1(r) <= V_2(r) <= 0, then it
follows that E_1 <= E_2. (II) If V(r,a) depends on a parameter a \in(a_1,a_2),
V(r,a) <= 0, and E(a) is any positive eigenvalue, then \partial V/\partial a >=
0 ==> E'(a) >= 0 and \partial V/\partial a <= 0 ==> E'(a) <= 0.


title: Photometry and Spin Rate Distribution of Small-Sized Main Belt Asteroids

abstract:
  Photometry results of 32 asteroids are reported from only seven observing
nights on only seven fields, consisting of 34.11 cumulative hours of
observations. The data were obtained with a wide-field CCD (40.5'x27.3')
mounted on a small, 46-cm telescope at the Wise Observatory. The fields are
located within 1.5 degrees from the ecliptic plane and include a region within
the main asteroid belt. The observed fields show a projected density of ~23.7
asteroids per square degree to the limit of our observations. 13 of the
lightcurves were successfully analyzed to derive the asteroids' spin periods.
These range from 2.37 up to 20.2 hours with a median value of 3.7 hours. 11 of
these objects have diameters in order of two km and less, a size range that
until recently has not been photometrically studied. The results obtained
during this short observing run emphasize the efficiency of wide-field CCD
photometry of asteroids, which is necessary to improve spin statistics and
understand spin evolution processes. We added our derived spin periods to data
from the literature and compared the spin rate distributions of small main belt
asteroids (5>D>0.15 km) with that of bigger asteroids and of similar-sized
NEAs. We found that the small MBAs do not show the clear Maxwellian-shaped
distribution as large asteroids do; rather they have a spin rate distribution
similar to that of NEAs. This implies that non-Maxwellian spin rate
distribution is controlled by the asteroids' sizes rather than their locations.


title:
Superfluid and supersolid phases of lattice bosons with ring-exchange
  interaction

abstract:
  We examine the superfluid phase of a hard-core boson model with
nearest-neighbor exchange J and four-particle ring-exchange K at half-filling
on the square lattice. At zero temperature we find that the superfluid in the
pure-J model is quickly destroyed by the inclusion of negative-K ring-exchange
interactions, favoring a state with a (pi,pi) ordering wavevector. Minimization
of the mean-field energy suggests that a supersolid state with coexisting
superfluidity, charge-density wave, and valence-bond-like order is formed. We
also study the behavior of the finite-T Kosterlitz-Thouless phase transition in
the superfluid phase, by forcing the Nelson-Kosterlitz universal jump condition
on the finite-T spin wave superfluid density. Away from the pure J point,
T_{KT} decreases rapidly for negative K, while for positive K, T_{KT} reaches a
maximum at some K \neq 0 in agreement with recent quantum Monte Carlo
simulations.


title:
Electrically driven magnetization of diluted magnetic semiconductors
  actuated by Overhauser effect

abstract:
  It is well-known that the Curie temperature, and hence the magnetization, in
diluted magnetic semiconductor (DMS) like Ga$_{1-x}$Mn$_x$As can be controlled
by changing the equilibrium density of holes in the material. Here, we propose
that even with a constant hole density, large changes in the magnetization can
be obtained with a relatively small imbalance in the quasi-Fermi levels for
up-spin and down-spin electrons. We show, by coupling mean field theory of
diluted magnetic semiconductor ferromagnetism with master equations governing
the Mn spin-dynamics, that a mere splitting of the up-spin and down-spin
quasi-Fermi levels by 0.1 meV will produce the effect of an external magnetic
field as large as 1 T as long as the alternative relaxation paths for Mn spins
(i.e. spin-lattice relaxation) can be neglected. The physics is similar to the
classic Overhauser effect, also called the dynamic nuclear polarization, with
the Mn impurities playing the role of the nucleus. We propose that a lateral
spin-valve structure in anti-parallel configuration with a DMS as the channel
can be used to demonstrate this effect as quasi-Fermi level splitting of such
magnitude, inside the channel of similar systems, have already been
experimentally demonstrated to produce polarization of paramagnetic impurity
spins.


title:
Braiding and fusion properties of the Neveu-Schwarz super-conformal
  blocks

abstract:
  We construct, generalizing appropriately the method applied by J. Teschner in
the case of the Virasoro conformal blocks, the braiding and fusion matrices of
the Neveu-Schwarz super-conformal blocks. Their properties allow for an
explicit verification of the bootstrap equation in the NS sector of the N=1
supersymmetric Liouville field theory.


title: A Generalization of the Circumcenter of a Set

abstract:
  Let (X, d) be a Cat(k) space and P a bounded subset of X . If k > 0 then it
is required that the diameter of P be less than Pi/(4 sqrt(k)) . Let u: P to R
be a bounded non-negative function from P to R. The existence of a unique point
in X called the barycenter of P relative to u is established. When u=1, the
barycenter is simply the circumcenter of P. The barycenter has a number of
properties including a scaling, continuity and limit property. Under suitable
conditions, the barycenter is a fixed point of an isometry or group of
isometries. Barycenters are used to show that a complete Cat(k) space X is an
absolute retract if k is less than or equal to 0, and an absolute neighborhood
retract if X is complete and of curvature less than or equal to k.


title: T-Duality and Homological Mirror Symmetry of Toric Varieties

abstract:
  Let $X_\Sigma$ be a complete toric variety. The coherent-constructible
correspondence $\kappa$ of \cite{FLTZ} equates $\Perf_T(X_\Sigma)$ with a
subcategory $Sh_{cc}(M_\bR;\LS)$ of constructible sheaves on a vector space
$M_\bR.$ The microlocalization equivalence $\mu$ of \cite{NZ,N} relates these
sheaves to a subcategory $Fuk(T^*M_\bR;\LS)$ of the Fukaya category of the
cotangent $T^*M_\bR$. When $X_\Si$ is nonsingular, taking the derived category
yields an equivariant version of homological mirror symmetry,
$DCoh_T(X_\Si)\cong DFuk(T^*M_\bR;\LS)$, which is an equivalence of
triangulated tensor categories.
  The nonequivariant coherent-constructible correspondence $\bar{\kappa}$ of
\cite{T} embeds $\Perf(X_\Si)$ into a subcategory
$Sh_c(T_\bR^\vee;\bar{\Lambda}_\Si)$ of constructible sheaves on a compact
torus $T_\bR^\vee$. When $X_\Si$ is nonsingular, the composition of
$\bar{\kappa}$ and microlocalization yields a version of homological mirror
symmetry, $DCoh(X_\Sigma)\hookrightarrow DFuk(T^*T_\bR;\bar{\Lambda}_\Si)$,
which is a full embedding of triangulated tensor categories.
  When $X_\Si$ is nonsingular and projective, the composition $\tau=\mu\circ
\kappa$ is compatible with T-duality, in the following sense. An equivariant
ample line bundle $\cL$ has a hermitian metric invariant under the real torus,
whose connection defines a family of flat line bundles over the real torus
orbits. This data produces a T-dual Lagrangian brane $\mathbb L$ on the
universal cover $T^*M_\bR$ of the dual real torus fibration. We prove $\mathbb
L\cong \tau(\cL)$ in $Fuk(T^*M_\bR;\LS).$ Thus, equivariant homological mirror
symmetry is determined by T-duality.


title: Unambiguous Quantum Gravity Phenomenology Respecting Lorentz Symmetry

abstract:
  We describe a refined version of a previous proposal for the exploration of
quantum gravity phenomenology. Unlike the original scheme, the one presented
here is free from sign ambiguities while it shares with the previous one the
essential features. It focuses on effects that could be thought as arising from
a fundamental granularity of quantum space-time. The sort of schemes we
consider are in sharp contrast with the simplest scenarios in that such
granularity is assumed to respect Lorentz Invariance but it remains otherwise
unspecified. The proposal is fully observer covariant, it involves non-trivial
couplings of curvature to matter fields and leads to a well defined
phenomenology. We present the effective Hamiltonian which could be used to
analyze concrete experimental situations, and we shortly review the degree to
which this proposal is in line with the fundamental ideas behind the
equivalence principle.


title: Non-equilibrium transport at a dissipative quantum phase transition

abstract:
  We pioneerly investigate the non-equilibrium transport near a quantum phase
transition in a generic and relatively simple case model, the dissipative
resonant level model, that has many ramifications in nanosystems. We formulate
a rigorous mapping and apply a controlled frequency-dependent renormalization
group approach to compute the non-equilibrium current in the presence of a
finite bias voltage V. For V -> 0, we find that the conductance has its
well-known equilibrium form, while it displays a distinct non-equilibrium
profile at finite voltage.


title: The number of constant mean curvature isometric immersions of a surface

abstract:
  In classical surface theory there are but few known examples of surfaces
admitting nontrivial isometric deformations and fewer still
non-simply-connected ones. We consider the isometric deformability question for
an immersion x: M \to R^3 of an oriented non-simply-connected surface with
constant mean curvature H. We prove that the space of all isometric immersions
of M with constant mean curvature H is, modulo congruences of R^3, either
finite or a circle. When it is a circle then, for the immersion x, every cycle
in M has vanishing force and, when H is not 0, also vanishing torque. Our work
generalizes a rigidity result for minimal surfaces to constant mean curvature
surfaces. Moreover, we identify closed vector-valued 1-forms whose periods give
the force and torque.


title: A Photometrically and Morphologically Variable Infrared Nebula in L483

abstract:
  We present narrow and broad K-band observations of the Class 0/I source IRAS
18148-0440 that span 17 years. The infrared nebula associated with this
protostar in the L483 dark cloud is both morphologically and photometrically
variable on a time scale of only a few months. This nebula appears to be an
infrared analogue to other well-known optically visible variable nebulae
associated with young stars, such as Hubble's Variable Nebula. Along with
Cepheus A, this is one of the first large variable nebulae to be found that is
only visible in the infrared. The variability of this nebula is most likely due
to changing illumination of the cloud rather than any motion of the structure
in the nebula. Both morphological and photometric changes are observed on a
time scale only a few times longer than the light crossing time of the nebula,
suggesting very rapid intrinsic changes in the illumination of the nebula. Our
narrow-band observations also found that H_2 knots are found nearly twice as
far to the east of the source as to its west, and that H_2 emission extends
farther east of the source than the previously known CO outflow.


title:
Stability and Excitations of a Dipolar Bose-Einstein Condensate with a
  Vortex

abstract:
  We study the stability of singly- and doubly-quantized vortex states of
harmonically trapped dipolar Bose-Einstein Condensates (BECs) by calculating
the low-lying excitations of these condensates. We map the dynamical stability
of these vortices as functions of the dipole-dipole interaction strength and
trap geometry by finding where their excitations have purely real energy
eigenvalues. In contrast to BECs with purely contact interactions, we find that
dipolar BECs in singly-quantized vortex states go unstable to modes with an
increasing number of angular and radial nodes for more oblate trap aspect
ratios, corresponding to \emph{local} collapse that occurs on a characteristic
length scale. Additionally, we find that dipolar BECs in doubly-quantized
vortex states are unstable to decay into a different topological state (with
two singly-quantized vortices) for all interaction strengths when the trap
geometry is sufficiently prolate to make the dipoles attractive, and in windows
of interaction strength when the trap geometry is sufficiently oblate to make
the dipoles repulsive.


title: The Duffin-Schaeffer Conjecture with extra divergence

abstract:
  Given a nonnegative function $\psi : \N \to \R $, let $W(\psi)$ denote the
set of real numbers $x$ such that $|nx -a| < \psi(n) $ for infinitely many
reduced rationals $a/n (n>0) $. A consequence of our main result is that
$W(\psi)$ is of full Lebesgue measure if there exists an $\epsilon > 0 $ such
that $$ \textstyle \sum_{n\in\N}(\frac{\psi(n)}{n})^{1+\epsilon}\varphi
(n)=\infty . $$ The Duffin-Schaeffer Conjecture is the corresponding statement
with $\epsilon = 0$ and represents a fundamental unsolved problem in metric
number theory. Another consequence is that $W(\psi)$ is of full Hausdorff
dimension if the above sum with $\epsilon = 0$ diverges; i.e. the dimension
analogue of the Duffin-Schaeffer Conjecture is true.


title:
Prompt GeV emission in the synchrotron self-Compton model for Gamma-Ray
  Bursts

abstract:
  The detection in 10 bursts of an optical counterpart emission (i.e. during
the prompt GRB phase) that is 10-10000 brighter than the extrapolation of the
burst spectrum to optical frequencies suggests a synchrotron self-Compton
origin for the GRB emission, synchrotron producing the optical counterpart
emission. In this model, the second upscattering of the burst photons yields a
prompt GeV-TeV emission, whose brightness depends strongly on an unknown
quantity, the peak energy of the primary synchrotron spectrum. Measurements of
the optical, gamma-ray, and GeV prompt fluxes can be used to test the
synchrotron self-Compton model for GRBs and to determine directly the total
radiative output of GRBs. For a set of 29 GRBs with optical counterpart
detections, we find that the expected GeV photon flux should correlate with the
fluence of the sub-MeV emission and should anticorrelate with the brightness of
the optical counterpart, the strength of these correlations decreasing for an
increasing width of the synchrotron peak energy distribution. The detection of
a GeV prompt emission consistent with the extrapolation of the burst spectrum
to higher energies would rule out the synchrotron self-Compton model if the
sub-MeV burst emission were very bright and the (intrinsic) optical counterpart
were very dim.


title: Counterintuitive ground states in soft-core models

abstract:
  It is well known that statistical mechanics systems exhibit subtle behavior
in high dimensions. In this paper, we show that certain natural soft-core
models, such as the Gaussian core model, have unexpectedly complex ground
states even in relatively low dimensions. Specifically, we disprove a
conjecture of Torquato and Stillinger, who predicted that dilute ground states
of the Gaussian core model in dimensions 2 through 8 would be Bravais lattices.
We show that in dimensions 5 and 7, there are in fact lower-energy non-Bravais
lattices. (The nearest three-dimensional analog is the hexagonal close-packing,
but it has higher energy than the face-centered cubic lattice.) We believe
these phenomena are in fact quite widespread, and we relate them to
decorrelation in high dimensions.


title: Integration of H\"older forms and currents in snowflake spaces

abstract:
  For an oriented $n$-dimensional Lipschitz manifold $M$ we give meaning to the
integral $\int_M f dg_1 \wedge ... \wedge dg_n$ in case the functions $f, g_1,
>..., g_n$ are merely H\"older continuous of a certain order by extending the
construction of the Riemann-Stieltjes integral to higher dimensions. More
generally, we show that for $\alpha \in (\frac{n}{n+1},1]$ the $n$-dimensional
locally normal currents in a locally compact metric space $(X,d)$ represent a
subspace of the $n$-dimensional currents in $(X,d^\alpha)$. On the other hand,
for $n \geq 1$ and $\alpha \leq \frac{n}{n+1}$ the latter space consists of the
zero functional only.


title:
Structure and Short-time Dynamics in Suspensions of Charged Silica
  Spheres in the entire Fluid Regime

abstract:
  We present an experimental study of short-time diffusion properties in
fluid-like suspensions of monodisperse charge-stabilized silica spheres
suspended in DMF. The static structure factor S(q), the short-time diffusion
function, D(q), and the hydrodynamic function, H(q), in these systems have been
probed by combining X-ray photon correlation spectroscopy experiments with
static small-angle X-ray scattering. Our experiments cover the full
liquid-state part of the phase diagram, including deionized systems right at
the liquid-solid phase boundary. We show that the dynamic data can be
consistently described by the renormalized density fluctuation expansion theory
of Beenakker and Mazur over a wide range of concentrations and ionic strengths.
In accord with this theory and Stokesian dynamics computer simulations, the
measured short-time properties cross over monotonically, with increasing salt
content, from the bounding values of salt-free suspensions to those of neutral
hard spheres. Moreover, we discuss an upper bound for the hydrodynamic function
peak height of fluid systems based on the Hansen-Verlet freezing criterion.


title: Improved Estimation of High-dimensional Ising Models

abstract:
  We consider the problem of jointly estimating the parameters as well as the
structure of binary valued Markov Random Fields, in contrast to earlier work
that focus on one of the two problems. We formulate the problem as a
maximization of $\ell_1$-regularized surrogate likelihood that allows us to
find a sparse solution. Our optimization technique efficiently incorporates the
cutting-plane algorithm in order to obtain a tighter outer bound on the
marginal polytope, which results in improvement of both parameter estimates and
approximation to marginals. On synthetic data, we compare our algorithm on the
two estimation tasks to the other existing methods. We analyze the method in
the high-dimensional setting, where the number of dimensions $p$ is allowed to
grow with the number of observations $n$. The rate of convergence of the
estimate is demonstrated to depend explicitly on the sparsity of the underlying
graph.


title:
Eigenvalues correlations and the distribution of ground state angular
  momenta for random many-body quantum systems

abstract:
  The observed preponderance of ground states with angular momentum L=0 in
many-body quantum systems with random two-body interactions is analyzed in
terms of correlation coefficients (covariances) among different eigenstates. It
is shown that the geometric analysis of Chau {\it et al.} can be interpreted in
terms of correlations (covariances) between energy eigenvalues thus providing
an entirely statistical explanation of the distribution of ground state angular
momenta of randomly interacting quantum systems which, in principle, is valid
for both fermionic and bosonic systems. The method is illustrated for the
interacting boson model.


title:
Effects of partitioning and extrapolation on the connectivity of
  potential magnetic fields

abstract:
  Coronal magnetic field may be characterized by how its field lines
interconnect regions of opposing photospheric flux -- its connectivity.
Connectivity can be quantified as the net flux connecting pairs of opposing
regions, once such regions are identified. One existing algorithm will
partition a typical active region into a number of unipolar regions ranging
from a few dozen to a few hundred, depending on algorithmic parameters. This
work explores how the properties of the partitions depend on some algorithmic
parameters, and how connectivity depends on the coarseness of partitioning for
one particular active region magnetogram. We find the number of connections
among them scales with the number of regions even as the number of possible
connections scales with its square.
  There are several methods of generating a coronal field, even a potential
field. The field may be computed inside conducting boundaries or over an
infinite half-space. For computation of connectivity, the unipolar regions may
be replaced by point sources or the exact magnetogram may be used as a lower
boundary condition. Our investigation shows that the connectivities from these
various fields differ only slightly -- no more than 15%. The greatest
difference is between fields within conducting walls and those in the
half-space. Their connectivities grow more different as finer partitioning
creates more source regions. This also gives a quantitative means of
establishing how far away conducting boundaries must be placed in order not to
significantly affect the extrapolation. For identical outer boundaries, the use
of point sources instead of the exact magnetogram makes a smaller difference in
connectivity: typically 6% independent of the number of source regions.


title: Exploring a new peak in the heterotic landscape

abstract:
  We study the existence of realistic heterotic vacua on a new Abelian surface
fibered Calabi-Yau threefold X with Z_8 x Z_8 fundamental group. Our main
result is a no-go theorem, which says that (under mild assumptions) there is no
stable holomorphic vector bundle on X satisfying the constraints required by
global consistency of the heterotic vacuum and phenomenology. To prove the
theorem we explore in some detail the Fourier-Mukai transform of vector bundles
on Abelian surface fibrations.


title:
Squeezed Light and Entangled Images from Four-Wave-Mixing in Hot
  Rubidium Vapor

abstract:
  Entangled multi-spatial-mode fields have interesting applications in quantum
information, such as parallel quantum information protocols, quantum computing,
and quantum imaging. We study the use of a nondegenerate four-wave mixing
process in rubidium vapor at 795 nm to demonstrate generation of
quantum-entangled images. Owing to the lack of an optical resonator cavity, the
four-wave mixing scheme generates inherently multi-spatial-mode output fields.
We have verified the presence of entanglement between the multi-mode beams by
analyzing the amplitude difference and the phase sum noise using a dual
homodyne detection scheme, measuring more than 4 dB of squeezing in both cases.
This paper will discuss the quantum properties of amplifiers based on
four-wave-mixing, along with the multi mode properties of such devices.


title: Ballistic Spin Resonance

abstract:
  The phenomenon of spin resonance has had far reaching influence since its
discovery nearly 70 years ago. Electron spin resonance (ESR) driven by high
frequency magnetic fields has informed our understanding of quantum mechanics,
and finds application in fields as diverse as medicine and quantum information.
Spin resonance induced by high frequency electric fields, known as electric
dipole spin resonance (EDSR), has also been demonstrated recently. EDSR is
mediated by spin-orbit interaction (SOI), which couples the spin degree of
freedom and the momentum vector. Here, we report the observation of a novel
spin resonance due to SOI that does not require external driving fields.
Ballistic spin resonance (BSR) is driven by an internal spin-orbit field that
acts upon electrons bouncing at gigaHertz frequencies in narrow channels of
ultra-clean two-dimensional electron gas (2DEG). BSR is manifested in
electrical measurements of pure spin currents as a strong suppression of spin
relaxation length when the motion of electrons is in resonance with spin
precession. These findings point the way to gate-tunable coherent spin
rotations in ballistic nanostructures without external a.c. fields.


title:
Metrics of positive scalar curvature and generalised Morse functions,
  part 1

abstract:
  It is well known that isotopic metrics of positive scalar curvature are
concordant. Whether or not the converse holds is an open question, at least in
dimensions greater than four. We show that for a particular type of
concordance, constructed using the surgery techniques of Gromov and Lawson,
this converse holds in the case of closed simply connected manifolds of
dimension at least five.


title:
Infinite sequence of new conserved quantities for N=1 SKdV and the
  supersymmetric cohomology

abstract:
  An infinite sequence of new non-local conserved quantities for N=1 Super KdV
(SKdV) equation is obtained. The sequence is constructed, via a Gardner
trasformation, from a new conserved quantity of the Super Gardner equation. The
SUSY generator defines a nilpotent operation from the space of all conserved
quantities into itself. On the ring of $C_\downarrow^\infty$ superfields the
local conserved quantities are closed but not exact. However on the ring of
$C_{NL,1}^\infty$ superfields, an extension of the $C_\downarrow^\infty$ ring,
they become exact and equal to the SUSY transformed of the subset of odd
non-local conserved quantities of the appropriate weight. The remaining odd
no-local ones generate closed geometrical objects which become exact when the
ring is extended to the $C_{NL,2}^\infty$ superfields and equal to the SUSY
transformed of the new even non-local conserved quantities we have obtained.
These ones fit exactly in the SUSY cohomology of the already known conserved
quantities.


title: Factorization in Dual Models and Functional Integration in String Theory

abstract:
  This article contains a summary of the author's contributions, one in
collaboration with K. Bardakci, to dual models and string theory prior to the
mid-seventies. Other workers' contributions, during and subsequent to this
period, are mentioned in order to relate our work to the general development of
the subject


title:
Integrable boundary conditions for a non-abelian anyon chain with
  $D(D_3)$ symmetry

abstract:
  A general formulation of the Boundary Quantum Inverse Scattering Method is
given which is applicable in cases where $R$-matrix solutions of the
Yang--Baxter equation do not have the property of crossing unitarity. Suitably
modified forms of the reflection equations are presented which permit the
construction of a family of commuting transfer matrices. As an example, we
apply the formalism to determine the most general solutions of the reflection
equations for a solution of the Yang-Baxter equation with underlying symmetry
given by the Drinfeld double $D(D_3)$ of the dihedral group $D_3$. This
$R$-matrix does not have the crossing unitarity property. In this manner we
derive integrable boundary conditions for an open chain model of interacting
non-abelian anyons.

categories: math-ph cond-mat.mes-hall math.MP nlin.SI


title:
High Q Cavity Induced Fluxon Bunching in Inductively Coupled Josephson
  Junctions

abstract:
  We consider fluxon dynamics in a stack of inductively coupled long Josephson
junctions connected capacitively to a common resonant cavity at one of the
boundaries. We study, through theoretical and numerical analysis, the
possibility for the cavity to induce a transition from the energetically
favored state of spatially separated shuttling fluxons in the different
junctions to a high velocity, high energy state of identical fluxon modes.


title: Adaptive Base Class Boost for Multi-class Classification

abstract:
  We develop the concept of ABC-Boost (Adaptive Base Class Boost) for
multi-class classification and present ABC-MART, a concrete implementation of
ABC-Boost. The original MART (Multiple Additive Regression Trees) algorithm has
been very successful in large-scale applications. For binary classification,
ABC-MART recovers MART. For multi-class classification, ABC-MART considerably
improves MART, as evaluated on several public data sets.


title: Magnetoexciton dispersion in GaAs-(Ga,Al)As single and coupled quantum

abstract:
  We discuss magnetoexcitons dispersion in single and coupled $GaAs-(Ga,Al)As$
quantum wells using the Bethe-Salpeter (B-S) formalism. The B-S formalism in
the case of quantum wells provides an equation for the exciton wave function
which depends on two space variables plus the time variable, i.e. the B-S
equation is 2+1-dimensional equation. We compare the results for
magnetoexcitons dispersion, obtained in the LLL approximations with the results
calculated by solving the exact B-S equation. It is shown that the exact B-S
equation has an extra term (B-S term) that does not exist in the LLL
approximation. Within the framework of the variational method, we obtain that,
(i) the ground-state energy of a heavy-hole magnetoexciton with a zero wave
vector in $GaAs-(Ga,Al)As$ quantum wells, calculated by means of the exact B-S
equation, is very close to the ground-state energy, obtained in the LLL
approximation, (ii) in a strong perpendicular magnetic field the magnetoexciton
dispersion (in-plane magnetoexciton mass) is determined mainly by the B-S term
rather than the term that describes the electron-hole Coulomb interaction in
the LLL approximation.


title:
A Spitzer Spectroscopic Survey of Low Ionization Nuclear Emission-line
  Regions: Characterization of the Central Source

abstract:
  We have conducted a comprehensive mid-IR spectroscopic investigation of 67
Low Ionization Nuclear Emission Line Regions (LINERs) using archival
observations from the high resolution modules of the Infrared Spectrograph on
board the Spitzer Space Telescope. Using the [NeV] 14 and 24um lines as active
galactic nuclei (AGN) diagnostics, we detect active black holes in 39% of the
galaxies in our sample, many of which show no signs of activity in either the
optical or X-ray bands. In particular, a detailed comparison of
multi-wavelength diagnostics shows that optical studies fail to detect AGN in
galaxies with large far-IR luminosities. These observations emphasize that the
nuclear power source in a large percentage of LINERs is obscured in the
optical. Indeed, the majority of LINERs show mid-IR [NeV]14/[NeV]24um flux
ratios well below the theoretical low-density limit, suggesting that there is
substantial extinction toward even the [NeV]-emitting region . Combining
optical, X-ray, and mid-IR diagnostics, we find an AGN detection rate in LINERs
of 74%, higher than previously reported statistics of the fraction of LINERs
hosting AGN. The [NeV]24um /[OIV]26um mid-IR line flux ratio in "AGN-LINERs" is
similar to that of standard AGN, suggesting that the spectral energy
distribution (SED) of the intrinsic optical/UV continuum is similar in the two.
This result is in contrast to previous suggestions of a UV deficit in the
intrinsic broadband continuum emission in AGN-LINERs. Consistent with our
finding of extinction to the [NeV]-emitting region, we propose that extinction
may also be responsible for the observed optical/UV deficit seen in at least
some AGN-LINERs.


title:
Systematic characterization of upper critical fields for MgB$_2$ thin
  films using the two-band superconducting theory

abstract:
  We present experimental results of the upper critical fields $H_{\rm c2}$ of
various MgB$_2$ thin films prepared by the molecular beam epitaxy,
multiple-targets sputtering, and co-evaporation deposition apparatus.
Experimental data of the $H_{\rm c2}(T)$ are successfully analyzed by applying
the Gurevich theory of dirty two-band superconductivity in the case of
$D_{\pi}/D_{\sigma}>1$, where $D_{\pi}$ and $D_{\sigma}$ are the intraband
electron diffusivities for $\pi$ and $\sigma$ bands, respectively. We find that
the parameters obtained from the analysis are strongly correlated to the
superconducting transition temperature $T_{\rm c}$ of the films. We also
discuss the anormalous narrowing of the transition width at intermediate
temperatures confirmed by the magnetoresistance measurements.


title: Coding Theory and Algebraic Combinatorics

abstract:
  This chapter introduces and elaborates on the fruitful interplay of coding
theory and algebraic combinatorics, with most of the focus on the interaction
of codes with combinatorial designs, finite geometries, simple groups, sphere
packings, kissing numbers, lattices, and association schemes. In particular,
special interest is devoted to the relationship between codes and combinatorial
designs. We describe and recapitulate important results in the development of
the state of the art. In addition, we give illustrative examples and
constructions, and highlight recent advances. Finally, we provide a collection
of significant open problems and challenges concerning future research.


title:
A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear
  partial differential equations and geometric applications

abstract:
  We consider a Cauchy problem for an overdetermined system of PDEs, and give
necessary and sufficient conditions for solvability of this Cauchy problem for
all data. As an application, we find all real tube hypersurfaces in complex
space whose Levi number is maximal.


title:
Interacting nanopatterned pins: barriers towards creating interstitial
  vortices

abstract:
  We show that by nano-patterning a superconductor (NbSe2 single crystal) with
an array of blind holes produces significant magnetic field sweep rate
dependent metastable magnetization response. Our results are explained on the
basis of a unique collective action of the blind holes pins which creates a
barrier against vortex redistribution inside the sample. We propose that this
barrier leads to a phase separation creating distinct population of vortices
viz., those pinned on blind holes and those confined in the interstitials
between the holes.


title: Physics results from dynamical overlap fermion simulations

abstract:
  I summarize the physics results obtained from large-scale dynamical overlap
fermion simulations by the JLQCD and TWQCD collaborations. The numerical
simulations are performed at a fixed global topological sector; the physics
results in the theta-vacuum is reconstructed by correcting the finite volume
effect, for which the measurement of the topological susceptibility is crucial.
Physics applications we studied so far include a calculation of chiral
condensate, pion mass, decay constant, form factors, as well as (vector and
axial-vector) vacuum polarization functions and nucleon sigma term.


title:
Spin-orbit strength driven crossover between intrinsic and extrinsic
  mechanisms of the anomalous Hall effect in epitaxial L1o FePd and FePt

abstract:
  We determine the composition of intrinsic as well as extrinsic contributions
to the anomalous Hall effect (AHE) in the isoelectronic L1o FePd and FePt
alloys. We show that the AHE signal in our 30 nm thick epitaxially deposited
films of FePd is mainly due to extrinsic side-jump, while in the epitaxial FePt
films of the same thickness and degree of order the intrinsic contribution is
dominating over the extrinsic mechanisms of the AHE. We relate this crossover
to the difference in spin-orbit strength of Pt and Pd atoms and suggest that
this phenomenon can be used for tuning the origins of the AHE in complex
alloys.


title:
Gas accretion onto planetary cores: three-dimensional self-gravitating
  radiation hydrodynamical calculations

abstract:
  We present results from three-dimensional, self-gravitating radiation
hydrodynamical models of gas accretion by planetary cores. In some cases, the
accretion flow is resolved down to the surface of the solid core -- the first
time such simulations have been performed. We investigate the dependence of the
gas accretion rate upon the planetary core mass, and the surface density and
opacity of the encompassing protoplanetary disc. Accretion of planetesimals is
neglected.
  We find that high-mass protoplanets are surrounded by thick circumplanetary
discs during their gas accretion phase but, contrary to locally-isothermal
calculations, discs do not form around accreting protoplanets with masses ~<
50M_Earth when radiation hydrodynamical simulations are performed, even if the
grain opacity is reduced from interstellar values by a factor of 100. We find
that the opacity of the gas plays a large role in determining the accretion
rates for low-mass planetary cores. For example, reducing the opacities from
interstellar values by a factor of 100 leads to roughly an order of magnitude
increase in the accretion rates for 10-20M_Earth protoplanets. The dependence
on opacity becomes less important in determining the accretion rate for more
massive cores where gravity dominates the effects of thermal support and the
protoplanet is essentially accreting at the runaway rate. Finally, for low-mass
planetary cores (~< 20M_Earth), we obtain accretion rates that are in agreement
with previous one-dimensional quasi-static models. This indicates that
three-dimensional hydrodynamical effects may not significantly alter the gas
accretion timescales that have been obtained from quasi-static models.


title: The Application of Fuzzy Logic to Collocation Extraction

abstract:
  Collocations are important for many tasks of Natural language processing such
as information retrieval, machine translation, computational lexicography etc.
So far many statistical methods have been used for collocation extraction.
Almost all the methods form a classical crisp set of collocation. We propose a
fuzzy logic approach of collocation extraction to form a fuzzy set of
collocations in which each word combination has a certain grade of membership
for being collocation. Fuzzy logic provides an easy way to express natural
language into fuzzy logic rules. Two existing methods; Mutual information and
t-test have been utilized for the input of the fuzzy inference system. The
resulting membership function could be easily seen and demonstrated. To show
the utility of the fuzzy logic some word pairs have been examined as an
example. The working data has been based on a corpus of about one million words
contained in different novels constituting project Gutenberg available on
www.gutenberg.org. The proposed method has all the advantages of the two
methods, while overcoming their drawbacks. Hence it provides a better result
than the two methods.


title: A Note on analytic formulas of Feynman propagators in position space

abstract:
  In this paper, we correct an inaccurate result of previous works on the
Feynman propagator in position space of a free Dirac field in (3+1)-dimensional
spacetime, and we derive the generalized analytic formulas of both the scalar
Feynman propagator and the spinor Feynman propagator in position space in
arbitrary (D+1)-dimensional spacetime, and we further find a recurrence
relation among the spinor Feynman propagator in (D+1)-dimensional spacetime and
the scalar Feynman propagators in (D+1)-, (D-1)- and (D+3)-dimensional
spacetimes.


title:
Three spheres inequalities and unique continuation for a
  three-dimensional Lam\'e system of elasticity with C^1 coefficients

abstract:
  Assuming that the Lam\'{e} moduli $\mu$, $\lambda$ are $C^{\tiny{1}}$ and
$n\geq2$, we prove quantitative estimates of a weak sense of strong unique
continuation for thesolutions of the n-dimensional Lam\'{e} system of the form
of three spheres inequalities.


title:
Simultaneous Qualitative And Quantitative Identification Of Multiple
  Targets By Polymerase Chain Reaction On Microarray

abstract:
  An approach for multiplex qualitative and quantitative microarray-based PCR
analysis has been proposed. The characteristics of PCR executed on a gel-based
oligonucleotide microarray with immobilized forward primers and a single common
reverse primer in solution were investigated for several DNA targets. One-stage
multiplex on-chip PCR was studied for simultaneous amplification of herpes
simplex viruses types 1 and 2, cytomegalovirus DNA, and bacteriophage lambda
DNA as an internal control. Additionally the joint analysis of increased number
of targets (with addition of Chlamydia trachomatis, Mycoplasma hominis, and
Ureaplasma urealyticum DNA) was done in two-stage version of assay: first stage
was in-tube PCR with target-specific primers, while the reverse ones contained
5'-adapter region; the second stage was on-chip amplification with immobilized
target-specific forward primers and adapter as common reverse primer in
solution. The possible application of one-stage reaction for human cDNA
analysis was additionally demonstrated with utilization of a common
poly-T-containing primer in solution. SYBR green I; and Cy-5 labeled dUTP were
used for real-time and end-point detection of specific PCR products. The
efficiencies of both one-stage and two-stage reactions was shown to be strongly
dependent on magnesium and primers concentrations. Quantitative PCR in the both
versions was studied with 10-fold serial dilutions of phage lambda DNA. The
method enabled detection of 6 DNA copies per reaction for both versions of
assay. The quantitative interval for one-stage reaction covered eight orders of
concentration. The revealed significant effect of gel pad size on microarray
PCR effectiveness has been discussed.


title: Symmetries of supergravity black holes

abstract:
  We investigate Killing tensors for various black hole solutions of
supergravity theories. Rotating black holes of an ungauged theory, toroidally
compactified heterotic supergravity, with NUT parameters and two U(1) gauge
fields are constructed. If both charges are set equal, then the solutions
simplify, and then there are concise expressions for rank-2 conformal
Killing-Stackel tensors. These are induced by rank-2 Killing-Stackel tensors of
a conformally related metric that possesses a separability structure. We
directly verify the separation of the Hamilton-Jacobi equation on this
conformally related metric, and of the null Hamilton-Jacobi and massless
Klein-Gordon equations on the "physical" metric. Similar results are found for
more general solutions; we mainly focus on those with certain charge
combinations equal in gauged supergravity, but also consider some other
solutions.


title: Group-type subfactors and Hadamard matrices

abstract:
  A hyperfinite $II_1$ subfactor may be obtained from a symmetric commuting
square via iteration of the basic construction. For certain commuting squares
constructed from Hadamard matrices, we describe this subfactor as a group-type
inclusion $R^H \subset R \rtimes K$, where $H$ and $K$ are finite groups with
outer actions on the hyperfinite $II_1$ factor $R$. We find the group of outer
automorphisms generated by $H$ and $K$, and use the method of Bisch and
Haagerup to determine the principal and dual principal graphs. In some cases a
complete classification is obtained by examining the element of $H^3(H \ast K /
Int R)$ associated with the action.


title:
Computing Gowdy spacetimes via spectral evolution in future and past
  directions

abstract:
  We consider a system of nonlinear wave equations with constraints that arises
from the Einstein equations of general relativity and describes the geometry of
the so-called Gowdy symmetric spacetimes on T3. We introduce two numerical
methods, which are based on pseudo-spectral approximation. The first approach
relies on marching in the future time-like direction and toward the coordinate
singularity t=0. The second approach is designed from asymptotic formulas that
are available near this singularity; it evolves the solutions in the past
timelike direction from "final" data given at t=0. This backward method relies
a novel nonlinear transformation, which allows us to reduce the nonlinear
source terms to simple quadratic products of the unknown variables. Numerical
experiments are presented in various regimes, including cases where "spiky"
structures are observed as the coordinate singularity is approached. The
proposed backward strategy leads to a robust numerical method which allows us
to accurately simulate the long-time behavior of a large class of Gowdy
spacetimes.


title:
Wavelet domain Bayesian denoising of string signal in the cosmic
  microwave background

abstract:
  An algorithm is proposed for denoising the signal induced by cosmic strings
in the cosmic microwave background (CMB). A Bayesian approach is taken, based
on modeling the string signal in the wavelet domain with generalized Gaussian
distributions. Good performance of the algorithm is demonstrated by simulated
experiments at arcminute resolution under noise conditions including primary
and secondary CMB anisotropies, as well as instrumental noise.


title:
Thermodynamics of Taub-NUT/Bolt-AdS Black Holes in Einstein-Gauss-Bonnet
  Gravity

abstract:
  We give a review of the existence of Taub-NUT/bolt solutions in Einstein
Gauss-Bonnet gravity with the parameter $\alpha $ in six dimensions. Although
the spacetime with base space $S^{2}\times S^{2}$ has curvature singularity at
$r=N$, which does not admit NUT solutions, we may proceed with the same
computations as in the $\mathbb{CP}^{2}$ case. The investigation of
thermodynamics of NUT/Bolt solutions in six dimensions is carried out. We
compute the finite action, mass, entropy, and temperature of the black hole.
Then the validity of the first law of thermodynamics is demonstrated. It is
shown that in NUT solutions all thermodynamic quantities for both base spaces
are related to each other by substituting
$\alpha^{\mathbb{CP}^{k}}=[(k+1)/k]\alpha^{S^{2} \times S^{2}\times
>...S_{k}^{2}}$. So no further information is given by investigating NUT
solution in the $S^{2}\times S^{2}$ case. This relation is not true for bolt
solutions. A generalization of the thermodynamics of black holes to arbitrary
even dimensions is made using a new method based on the Gibbs-Duhem relation
and Gibbs free energy for NUT solutions. According to this method, the finite
action in Einstein Gauss-Bonnet is obtained by considering the generalized
finite action in Einstein gravity with an additional term as a function of
$\alpha$. Stability analysis is done by investigating the heat capacity and
entropy in the allowed range of $\alpha$, $\Lambda$ and $N$. For NUT solutions
in $d$ dimensions, there exist a stable phase at a narrow range of $\alpha$. In
six-dimensional Bolt solutions, metric is completely stable for
$\mathcal{B}=S^{2}\times S^{2}$, and is completely unstable for
$\mathcal{B}=\mathbb{CP}^{2}$ case.


title: Weakly interacting Bose gas in a random environment

abstract:
  Zero temperature properties of a dilute weakly interacting $d$-dimensional
Bose gas in a random potential are studied. We calculate geometrical and
energetic characteristics of the localized state of a gas confined in a large
box or in a harmonic trap. Different regimes of the localized state are found
depending on the ratio of two characteristic length scales of the disorder, the
Larkin length and the disorder correlation length. Repulsing bosons confined in
a large box with average density $n$ well below a critical value $n_c$ are
trapped in deep potential wells of extension much smaller than distance between
them. Tunneling between these wells is exponentially small. The ground state of
such a gas is a random singlet with no long-range phase correlation For $n>n_c$
repulsion between particles overcomes the disorder and the gas transits from
the localized to a coherent superfluid state. The critical density $n_c$ is
calculated in terms of the disorder parameters and the interaction strength.
For atoms in traps four different regimes are found, only one of it is
superfluid. The theory is extended to lower (1 and 2) dimensions. Its
quantitative predictions can be checked in experiments with ultracold atomic
gases and other Bose-systems.


title: A note on bigravity and dark matter

abstract:
  We show that a class of bi-gravity theories contain solutions describing dark
matter. A particular member of this class is also shown to be equivalent to the
Eddington-Born-Infeld gravity, recently proposed as a candidate for dark
matter. Bigravity theories also have cosmological de Sitter backgrounds and we
find solutions interpolating between matter and acceleration eras.


title:
Efficient model chemistries for peptides. II. Basis set convergence in
  the B3LYP method

abstract:
  Small peptides are model molecules for the amino acid residues that are the
constituents of proteins. In any bottom-up approach to understand the
properties of these macromolecules essential in the functioning of every living
being, to correctly describe the conformational behaviour of small peptides
constitutes an unavoidable first step. In this work, we present an study of
several potential energy surfaces (PESs) of the model dipeptide HCO-L-Ala-NH2.
The PESs are calculated using the B3LYP density-functional theory (DFT) method,
with Dunning's basis sets cc-pVDZ, aug-cc-pVDZ, cc-pVTZ, aug-cc-pVTZ, and
cc-pVQZ. These calculations, whose cost amounts to approximately 10 years of
computer time, allow us to study the basis set convergence of the B3LYP method
for this model peptide. Also, we compare the B3LYP PESs to a previous
computation at the MP2/6-311++G(2df,2pd) level, in order to assess their
accuracy with respect to a higher level reference. All data sets have been
analyzed according to a general framework which can be extended to other
complex problems and which captures the nearness concept in the space of model
chemistries (MCs).


title:
Eddington-Born-Infeld gravity and the large scale structure of the
  Universe

abstract:
  It has been argued that a Universe governed by Eddington-Born-Infeld gravity
can be compatible with current cosmological constraints. The extra fields
introduced in this theory can behave both as dark matter and dark energy,
unifying the dark sector in one coherent framework. We show the various roles
the extra fields can play in the expansion of the Universe and study the
evolution of linear perturbations in the various regimes. We find that, as a
unified theory of the dark sector, Eddington-Born-Infeld gravity will lead to
excessive fluctuations in the Cosmic Microwave Background on large scales. In
the presence of a cosmological constant, however, the extra fields can behave
as a form of non-particulate dark matter and can lead to a cosmology which is
entirely compatible with current observations of large scale structure. We
discuss the interpretation of this form of dark matter and how it can differ
from standard, particulate dark matter.


title:
The Observation of Exotic Resonances for $\Lambda \gamma
  $,$\Lambda\pi^{\pm}$,$\Lambda \pi^+\pi^-$, $\Lambda p$, $\Lambda pp$ and $p
  \gamma$ Spectra in p + a Collision at 10 Gev/c

abstract:
  Strange multi-baryonic clusters are an exiting possibility to explore the
properties of cold dense baryonic matter. Recent results on searches for exotic
narrow resonances with $\Lambda$ hyperon subsystems are reviewed. The
observation of $\Sigma^0$, $\Sigma^{*+}$(1385) and $K^{*\pm}$(892) well known
resonances from PDG are a good tests of this method. The mean value of mass for
$\Sigma^{*-}(1385)$ resonance is shifted till mass of 1370 MeV/$c^2$ and width
is two times larger than same value from PDG. Such of behavior for width and
mass of $\Sigma^{*-}(1385)$ resonance interpreted as extensive contribution
from stopping $\Xi^-\to\Lambda\pi^-$ and medium effect with mass of
$\Sigma^{*-}(1385)$ resonance.In ($\Lambda\pi^+ \pi^-$) spectrum there are
observed enhancement signals from $\Lambda ^*(1600)$, $\Lambda ^*(1750)$ and
$\Lambda ^*(1850)$ resonances. A number of significant signals were found in
the effective mass spectra of: 1)$\Lambda \gamma$,$p \gamma$ $\Lambda
\pi^{\pm}$,$\Lambda \pi \pi$, $\Lambda p$ and $\Lambda p p$ subsystems.


title: A Combinatorial Property of Ideals in Free Profinite Monoids

abstract:
  We prove every regular element of a free profinite monoid generates a prime
ideal; in particular the minimal ideal is prime. The latter result was first
proved by Almeida and Volkov using techniques from symbolic dynamics; our proof
is elementary.


title:
Obsevation of exotic resonances for K0(short)pi,K0(short)p and
  K0(short)Lambda spectra in p+A collisions at 10 GeV/c

abstract:
  The review on the 2m propane bubble chamber experiment data analysis aimed to
searches for an exotic baryon states for $K^0_s$-meson subsystems. The
observation of $\Sigma^0$, $\Sigma^{*+}$(1385) and $K^{*\pm}$(892) well known
resonances from PDG are a good tests of this method. There are found a resonant
structures for $K^0_s\pi^{\pm}$, $K^0_s$p and $K^0_s\Lambda$ invariant mass
spectra which were interpreted as $\kappa$(720)-meson, $\Theta^+(1540)$-baryon
and $N^0(1750)$ or $\Xi^0$-baryon states, respectively.


title: Correlation Functions for \beta=1 Ensembles of Matrices of Odd Size

abstract:
  Using the method of Tracy and Widom we rederive the correlation functions for
\beta=1 Hermitian and real asymmetric ensembles of N x N matrices with N odd.


title: Cosmic Strings

abstract:
  Cosmic strings are linear concentrations of energy that form whenever phase
transitions in the early universe break axial symmetries as originally shown by
Kibble. They are the result of frustrated order in the quantum fields
responsible for elementary particles and their interactions. For about two
decades, motivation for their study was provided by the possibility that they
could be behind the density inhomogeneities that led to the observed
large-scale structures in the universe. Precision observations, particularly of
the cosmic microwave background radiation, have limited strings to a
sub-dominant role in structure formation.
  More recently, interest has been revived with the realization that there may
be strong links between field theory cosmic strings and fundamental strings.
The latter are the supposed ultimate building blocks of matter, and in their
original context of superstring theory were thought to be microscopic. However,
in its modern version---sometimes referred to as M-theory---it is possible and
perhaps even mandatory to have macroscopic (cosmological-sized) fundamental
strings...


title:
A parametric study of the meso-scale modelling of concrete subjected to
  cyclic compression

abstract:
  The present parametric study deals with the meso-scale modelling of concrete
subjected to cyclic compression, which exhibits hysteresis loops during
unloading and reloading. Concrete is idealised as a two-dimensional three-phase
composite made of aggregates, mortar and interfacial transition zones (ITZs).
The meso-scale modelling approach relies on the hypothesis that the hysteresis
loops are caused by localised permanent displacements, which result in
nonlinear fracture processes during unloading and reloading. A parametric study
is carried out to investigate how aggregate density and size, amount of
permanent displacements in the ITZ and the mortar, and the ITZ strength
influence the hysteresis loops obtained with the meso-scale modelling approach.


title: A self-regulating and patch subdivided population

abstract:
  We consider an interacting particle process on a graph which, from a
macroscopic point of view, looks like $\Z^d$ and, at a microscopic level, is a
complete graph of degree $N$ (called a patch). There are two birth rates: an
inter-patch one $\lambda$ and an intra-patch one $\phi$. Once a site is
occupied, there is no breeding from outside the patch and the probability
$c(i)$ of success of an intra-patch breeding decreases with the size $i$ of the
population in the site. We prove the existence of a critical value
$\lambda_{cr}(\phi, c, N)$ and a critical value $\phi_{cr}(\lambda, c, N)$. We
consider a sequence of processes generated by the families of control functions
$\{c_i\}_{i \in \N}$ and degrees $\{N_i\}_{i \in \N}$; we prove, under mild
assumptions, the existence of a critical value $i_{cr}$. Roughly speaking we
show that, in the limit, these processes behave as the branching random walk on
$\Z^d$ with external birth rate $\lambda$ and internal birth rate $\phi$. Some
examples of models that can be seen as particular cases are given.


title:
Signatures of the superfluid to Mott insulator transition in cold
  bosonic atoms in a one dimensional optical lattice

abstract:
  We study the Bose-Hubbard model using the finite size density matrix
renormalization group method. We obtain for the first time a complete phase
diagram for a system in the presence of a harmonic trap and compare it with
that of the homogeneous system. To realize the transition from the superfluid
to the Mott insulator phase we investigate different experimental signatures of
these phases in quantities such as momentum distribution, visibility,
condensate fraction and the total number of bosons at a particular density. The
relationships between the various experimental signatures and the phase diagram
are highlighted.


title: Positional distribution of human transcription factor binding sites

abstract:
  We developed a method for estimating the positional distribution of
transcription fac-tor (TF) binding sites using ChIP-chip data, and applied it
to recently published experiments on binding sites of nine TFs; OCT4, SOX2,
NANOG, HNF1A, HNF4A, HNF6, FOXA2, USF1 and CREB1. The data were obtained from a
genome-wide cov-erage of promoter regions from 8kb upstream of the
Transcription Start Site (TSS) to 2kb downstream. The number of target genes of
each TF ranges from few hundred to several thousand. We found that for each of
the nine TFs the estimated binding site distribution is closely approximated by
a mixture of two components: a narrow peak, localized within 300 base pairs
upstream of the TSS, and a distribution of almost uni-form density within the
tested region. Using Gene Ontology and Enrichment analysis, we were able to
associate (for each of the TFs studied) the target genes of both types of
binding with known biological processes. Most GO terms were enriched either
among the proximal targets or among those with a uniform distribution of
binding sites. For example, the three stemness-related TFs have several hundred
target genes that belong to "development" and "morphogenesis" whose binding
sites belong to the uniform dis-tribution.


title:
Face-Centered-Cubic B$_{80}$ Metal: Density functional theory
  calculations

abstract:
  By means of ab initio calculations within the density functional theory, we
have found that B80 fullerenes can condense to form stable face-centered-cubic
fcc solids. It is shown that when forming a crystal, B80 cages are
geometrically distorted, the Ih symmetry is lowered to Th, and four boron-boron
chemical bonds are formed between every two nearest neighbor B80 cages. The
cohesive energy of B80 fcc solid is 0.23 eV/atom with respect to the isolated
B80 fullerene. The calculated electronic structure reveals that the fcc B80
solid is a metal. The predicted solid phase would constitute a form of pure
boron and might have diverse implications. In addition, a simple electron
counting rule is proposed, which could explain the stability of B80 fullerene
and the recently predicted stable boron sheet.


title: Search for Fingerprints of Tetrahedral Symmetry in $^{156}Gd$

abstract:
  Theoretical predictions suggest the presence of tetrahedral symmetry as an
explanation for the vanishing intra-band E2-transitions at the bottom of the
odd-spin negative parity band in $^{156}Gd$. The present study reports on
experiment performed to address this phenomenon. It allowed to determine the
intra-band E2 transitions and branching ratios B(E2)/B(E1) of two of the
negative-parity bands in $^{156}Gd$.


title:
Observation of the 2p3/2 -> 2s1/2 intra-shell transition in He-like
  uranium

abstract:
  We present the first observation of the 1s2p 3P2 ? 1s2s 3S1 transition in
He-like uranium. The experiment was performed at the internal gas-jet target of
the ESR storage ring at GSI exploiting a Bragg crystal spectrometer and a
germanium solid state detector. Using the 1s2 2p 2P3/2 ? 1s2 2s 2S1/2
transition in Li-like uranium as reference and the deceleration capabilities of
the ESR storage rings, we obtained the first evaluation of the He-like heavy
ion intra-shell transition energy.


title:
Scaling of entanglement between separated blocks in spin chains at
  criticality

abstract:
  We compute the entanglement between separated blocks in certain spin models
showing that at criticality this entanglement is a function of the ratio of the
separation to the length of the blocks and can be written as a product of a
power law and an exponential decay. It thereby interpolates between the
entanglement of individual spins and blocks of spins. It captures features of
correlation functions at criticality as well as the monogamous nature of
entanglement. We exemplify invariant features of this entanglement to
microscopic changes within the same universality class. We find this
entanglement to be invariant with respect to simultaneous scale transformations
of the separation and the length of the blocks. As a corollary, this study
estimates the entanglement between separated regions of those quantum fields to
which the considered spin models map at criticality.


title: Remarks on generalized Gauss-Bonnet dark energy

abstract:
  The modified gravity with F(R,G) Lagrangian, G is the Gauss-Bonnet invariant,
is considered. It is shown that the phantom-divide-line crossing and the
deceleration to acceleration transition generally occur in these models. Our
results coincide with the known results of f(R)-gravity and f(G)-gravity
models. The contribution of quantum effects to these transitions is calculated,
and it is shown that in some special cases where there are no transitions in
classical level, quantum contributions can induce transitions. The quantum
effects are described via the account of conformal anomaly.


title: Rotating solenoidal perfect fluids of Petrov type D

abstract:
  We prove that aligned Petrov type D perfect fluids for which the vorticity
vector is not orthogonal to the plane of repeated principal null directions and
for which the magnetic part of the Weyl tensor with respect to the fluid
velocity has vanishing divergence, are necessarily purely electric or locally
rotationally symmetric. The LRS metrics are presented explicitly.


title:
Critical and noncritical long range entanglement in the Klein-Gordon
  field

abstract:
  We investigate the entanglement between two separated segments in the vacuum
state of a free 1D Klein-Gordon field, where explicit computations are
performed in the continuum limit of the linear harmonic chain. We show that the
entanglement, which we measure by the logarithmic negativity, is finite with no
further need for renormalization. We find that the quantum correlations decay
much faster than the classical correlations as in the critical limit long range
entanglement decays exponentially for separations larger than the size of the
segments. As the segments become closer to each other the entanglement diverges
as a power law. The noncritical regime manifests richer behavior, as the
entanglement depends both on the size of the segments and on their separation.
In correspondence with the von Neumann entropy long-range entanglement also
distinguishes critical from noncritical systems.


title:
Wide-Scale Analysis of Human Functional Transcription Factor Binding
  Reveals a Strong Bias towards the Transcription Start Site

abstract:
  We introduce a novel method to screen the promoters of a set of genes with
shared biological function, against a precompiled library of motifs, and find
those motifs which are statistically over-represented in the gene set. The gene
sets were obtained from the functional Gene Ontology (GO) classification; for
each set and motif we optimized the sequence similarity score threshold,
independently for every location window (measured with respect to the TSS),
taking into account the location dependent nucleotide heterogeneity along the
promoters of the target genes. We performed a high throughput analysis,
searching the promoters (from 200bp downstream to 1000bp upstream the TSS), of
more than 8000 human and 23,000 mouse genes, for 134 functional Gene Ontology
classes and for 412 known DNA motifs. When combined with binding site and
location conservation between human and mouse, the method identifies with high
probability functional binding sites that regulate groups of biologically
related genes. We found many location-sensitive functional binding events and
showed that they clustered close to the TSS. Our method and findings were put
to several experimental tests. By allowing a "flexible" threshold and combining
our functional class and location specific search method with conservation
between human and mouse, we are able to identify reliably functional TF binding
sites. This is an essential step towards constructing regulatory networks and
elucidating the design principles that govern transcriptional regulation of
expression. The promoter region proximal to the TSS appears to be of central
importance for regulation of transcription in human and mouse, just as it is in
bacteria and yeast.