title:
BLOX: The Bonn Lensing, Optical, and X-ray selected galaxy clusters --
  I. Cluster catalog construction

abstract:
  The mass function of galaxy clusters is an important cosmological probe.
Differences in the selection method could potentially lead to biases when
determining the mass function. From the optical and X-ray data of the
XMM-Newton Follow-Up Survey, we obtained a sample of galaxy cluster candidates
using weak gravitational lensing, the optical Postman matched filter method,
and a search for extended X-ray sources. We developed our weak-lensing search
criteria by testing the performance of the aperture mass statistic on realistic
ray-tracing simulations matching our survey parameters and by comparing two
filter functions. We find that the dominant noise source for our survey is
shape noise at almost all significance levels and that spurious cluster
detections due to projections of large-scale structures are negligible, except
possibly for highly significantly detected peaks. Our full cluster catalog has
155 cluster candidates, 116 found with the Postman matched filter, 59 extended
X-ray sources, and 31 shear selected potential clusters. Most of these cluster
candidates were not previously known. The present catalog will be a solid
foundation for studying possible selection effects in either method.


title: Unifying variational methods for simulating quantum many-body systems

abstract:
  We introduce a unified formulation of variational methods for simulating
ground state properties of quantum many-body systems. The key feature is a
novel variational method over quantum circuits via infinitesimal unitary
transformations, inspired by flow equation methods. Variational classes are
represented as efficiently contractible unitary networks, including the
matrix-product states of density matrix renormalization, multiscale
entanglement renormalization (MERA) states, weighted graph states, and quantum
cellular automata. In particular, this provides a tool for varying over classes
of states, such as MERA, for which so far no efficient way of variation has
been known. The scheme is flexible when it comes to hybridizing methods or
formulating new ones. We demonstrate the functioning by numerical
implementations of MERA, matrix-product states, and a new variational set on
benchmarks.


title: The spectral radius of subgraphs of regular graphs

abstract:
  We give a bound on the spectral radius of subgraphs of regular graphs with
given order and diameter. We give a lower bound on the smallest eigenvalue of a
nonbipartite regular graph of given order and diameter.


title: Quasi-tree expansion for the Bollob\'as-Riordan-Tutte polynomial

abstract:
  Oriented ribbon graphs (dessins d'enfant) are graphs embedded in oriented
surfaces. The Bollob\'as-Riordan-Tutte polynomial is a three-variable
polynomial that extends the Tutte polynomial to oriented ribbon graphs. A
quasi-tree of a ribbon graph is a spanning subgraph with one face, which is
described by an ordered chord diagram. We generalize the spanning tree
expansion of the Tutte polynomial to a quasi-tree expansion of the
Bollob\'as-Riordan-Tutte polynomial.


title: On the likelihood of supernova enrichment of protoplanetary disks

abstract:
  We estimate the likelihood of direct injection of supernova ejecta into
protoplanetary disks using a model in which the number of stars with disks
decreases linearly with time, and clusters expand linearly with time such that
their surface density is independent of stellar number. The similarity of disk
dissipation and main sequence lifetimes implies that the typical supernova
progenitor is very massive, ~ 75-100 Msun. Such massive stars are found only in
clusters with > 10^4 members. Moreover, there is only a small region around a
supernova within which disks can survive the blast yet be enriched to the level
observed in the Solar System. These two factors limit the overall likelihood of
supernova enrichment of a protoplanetary disk to < 1%. If the presence of short
lived radionucleides in meteorites is to be explained in this way, however, the
Solar System most likely formed in one of the largest clusters in the Galaxy,
more than two orders of magnitude greater than Orion, where multiple supernovae
impacted many disks in a short period of time.


title:
Astrophysical and Cosmological Implications of Large Volume String
  Compactifications

abstract:
  We study the spectrum, couplings and cosmological and astrophysical
implications of the moduli fields for the class of Calabi-Yau IIB string
compactifications for which moduli stabilisation leads to an exponentially
large volume V ~ 10^{15} l_s^6 and an intermediate string scale m_s ~
10^{11}GeV, with TeV-scale observable supersymmetry breaking. All K\"ahler
moduli except for the overall volume are heavier than the susy breaking scale,
with m ~ ln(M_P/m_{3/2}) m_{3/2} ~ (\ln(M_P/m_{3/2}))^2 m_{susy} ~ 500 TeV and,
contrary to standard expectations, have matter couplings suppressed only by the
string scale rather than the Planck scale. These decay to matter early in the
history of the universe, with a reheat temperature T ~ 10^7 GeV, and are free
from the cosmological moduli problem (CMP). The heavy moduli have a branching
ratio to gravitino pairs of 10^{-30} and do not suffer from the gravitino
overproduction problem. The overall volume modulus is a distinctive feature of
these models and is an M_{planck}-coupled scalar of mass m ~ 1 MeV and subject
to the CMP. A period of thermal inflation can help relax this problem. This
field has a lifetime ~ 10^{24}s and can contribute to dark matter. It may be
detected through its decays to 2\gamma or e^+e^-. If accessible the e^+e^-
decay mode dominates, with Br(\chi \to 2 \gamma) suppressed by a factor
(ln(M_P/m_{3/2}))^2. We consider the potential for detection of this field
through different astrophysical sources and find that the observed gamma-ray
background constrains \Omega_{\chi} <~ 10^{-4}. The decays of this field may
generate the 511 keV emission line from the galactic centre observed by
INTEGRAL/SPI.


title: Soliton emission in amplifying optical lattice surfaces

abstract:
  We address surface solitons supported by the interface of optical lattices
imprinted in saturable media with surface-localized gain. The nonlinearity
saturation puts restrictions on the maximal energy flow carried by surface
solitons. As a consequence, the presence of thin amplifying layer near the
surface results in the controllable emission of solitons towards the lattice at
angles depending on the amplification rate and on lattice depth.


title: The host galaxies of strong CaII QSO absorption systems at z<0.5

abstract:
  We present new imaging and spectroscopic observations of the fields of five
QSOs with very strong intervening CaII absorption systems at redshifts z<0.5
selected from the Sloan Digital Sky Survey. Recent studies of these very rare
absorbers indicate that they may be related to damped Lyman alpha systems
(DLAs). In all five cases we identify a galaxy at the redshift of the CaII
system with impact parameters up to ~24 kpc. In four out of five cases the
galaxies are luminous (L ~L*), metal-rich (Z ~Zsun), massive (velocity
dispersion, sigma ~100 km/s) spirals. Their star formation rates, deduced from
Halpha emission, are high, in the range SFR = 0.3 - 30 Msun/yr. In our
analysis, we paid particular attention to correcting the observed emission line
fluxes for stellar absorption and dust extinction. We show that these effects
are important for a correct SFR estimate; their neglect in previous low-z
studies of DLA-selected galaxies has probably led to an underestimate of the
star formation activity in at least some DLA hosts. We discuss possible links
between CaII-selected galaxies and DLAs and outline future observations which
will help clarify the relationship between these different classes of QSO
absorbers.


title:
Transient rectification of Brownian diffusion with asymmetric initial
  distribution

abstract:
  In an ensemble of non-interacting Brownian particles, a finite systematic
average velocity may temporarily develop, even if it is zero initially. The
effect originates from a small nonlinear correction to the dissipative force,
causing the equation for the first moment of velocity to couple to moments of
higher order. The effect may be relevant when a complex system dissociates in a
viscous medium with conservation of momentum.


title:
Surface Brightness Profiles for a sample of LMC, SMC and Fornax galaxy
  Globular Clusters

abstract:
  We use Hubble Space Telescope archival images to measure central surface
brightness profiles of globular clusters around satellite galaxies of the Milky
Way. We report results for 21 clusters around the LMC, 5 around the SMC, and 4
around the Fornax dwarf galaxy. The profiles are obtained using a recently
developed technique based on measuring integrated light, which is tested on an
extensive simulated dataset. Our results show that for 70% of the sample, the
central photometric points of our profiles are brighter than previous
measurements using star counts with deviations as large as 2 mag/arcsec^2.
About 40% of the objects have central profiles deviating from a flat central
core, with central logarithmic slopes continuously distributed between -0.2 and
-1.2. These results are compared with those found for a sample of Galactic
clusters using the same method. We confirm the known correlation in which
younger clusters tend to have smaller core radii, and we find that they also
have brighter central surface brightness values. This seems to indicate that
globular clusters might be born relatively concentrated, and that a profile
with extended flat cores might not be the ideal choice for initial profiles in
theoretical models.


title:
Cosmological Simulations of the Preheating Scenario for Galaxy Cluster
  Formation: Comparison to Analytic Models and Observations

abstract:
  We perform a set of non--radiative cosmological simulations of a preheated
intracluster medium in which the entropy of the gas was uniformly boosted at
high redshift. The results of these simulations are used first to test the
current analytic techniques of preheating via entropy input in the smooth
accretion limit. When the unmodified profile is taken directly from
simulations, we find that this model is in excellent agreement with the results
of our simulations. This suggests that preheated efficiently smoothes the
accreted gas, and therefore a shift in the unmodified profile is a good
approximation even with a realistic accretion history. When we examine the
simulation results in detail, we do not find strong evidence for entropy
amplification, at least for the high-redshift preheating model adopted here. In
the second section of the paper, we compare the results of the preheating
simulations to recent observations. We show -- in agreement with previous work
-- that for a reasonable amount of preheating, a satisfactory match can be
found to the mass-temperature and luminosity-temperature relations. However --
as noted by previous authors -- we find that the entropy profiles of the
simulated groups are much too flat compared to observations. In particular,
while rich clusters converge on the adiabatic self--similar scaling at large
radius, no single value of the entropy input during preheating can
simultaneously reproduce both the core and outer entropy levels. As a result,
we confirm that the simple preheating scenario for galaxy cluster formation, in
which entropy is injected universally at high redshift, is inconsistent with
observations.


title:
Open Access Publishing in Particle Physics: A Brief Introduction for the
  non-Expert

abstract:
  Open Access to particle physics literature does not sound particularly new or
exciting, since particle physicists have been reading preprints for decades,
and arXiv.org for 15 years. However new movements in Europe are attempting to
make the peer-reviewed literature of the field fully Open Access. This is not a
new movement, nor is it restricted to this field. However, given the field's
history of preprints and eprints, it is well suited to a change to a fully Open
Access publishing model. Data shows that 90% of HEP published literature is
freely available online, meaning that HEP libraries have little need for
expensive journal subscriptions. As libraries begin to cancel journal
subscriptions, the peer review process will lose its primary source of funding.
Open Access publishing models can potentially address this issue. European
physicists and funding agencies are proposing a consortium, SCOAP3, that might
solve many of the objections to traditional Open Access publishing models in
Particle Physics. These proposed changes should be viewed as a starting point
for a serious look at the field's publication model, and are at least worthy of
attention, if not adoption.


title: New insights into abelian topologically massive gauge theories

abstract:
  Abelian topologically massive gauge theories (TMGT) provide a topological
mechanism to generate mass for any p-tensor boson in any dimension. Within the
Hamiltonian formulation, the embedded topological field theory (TFT) is not
made manifest. We therefore introduce a gauge invariant factorization of the
classical phase space in two orthogonal sectors. The first of these sectors is
that of gauge invariant dynamical variables with massive excitations. The
second is that of a decoupled TFT. Through canonical quantization, a
factorization of quantum states arises, enabling the projection from TMGT onto
topological quantum field theories in a most transparent way.


title: Linear Tabling Strategies and Optimizations

abstract:
  Recently, the iterative approach named linear tabling has received
considerable attention because of its simplicity, ease of implementation, and
good space efficiency. Linear tabling is a framework from which different
methods can be derived based on the strategies used in handling looping
subgoals. One decision concerns when answers are consumed and returned. This
paper describes two strategies, namely, {\it lazy} and {\it eager} strategies,
and compares them both qualitatively and quantitatively. The results indicate
that, while the lazy strategy has good locality and is well suited for finding
all solutions, the eager strategy is comparable in speed with the lazy strategy
and is well suited for programs with cuts. Linear tabling relies on depth-first
iterative deepening rather than suspension to compute fixpoints. Each cluster
of inter-dependent subgoals as represented by a top-most looping subgoal is
iteratively evaluated until no subgoal in it can produce any new answers. Naive
re-evaluation of all looping subgoals, albeit simple, may be computationally
unacceptable. In this paper, we also introduce semi-naive optimization, an
effective technique employed in bottom-up evaluation of logic programs to avoid
redundant joins of answers, into linear tabling. We give the conditions for the
technique to be safe (i.e. sound and complete) and propose an optimization
technique called {\it early answer promotion} to enhance its effectiveness.
Benchmarking in B-Prolog demonstrates that with this optimization linear
tabling compares favorably well in speed with the state-of-the-art
implementation of SLG.


title:
The HI content of elliptical and lenticular galaxies with recent star
  formation

abstract:
  As a first step toward constraining the efficiency of the star formation
episodes that lead to elliptical (E) and lenticular (S0) K+A galaxies, a survey
for HI within a sample of E and S0 K+A galaxies and their likely progenitors
(i.e., actively star forming E and S0 galaxies) has been conducted with the
NRAO Green Bank Telescope (GBT). The sample was taken from a larger parent
sample drawn from the Sloan Digital Sky Survey (SDSS). Here, the GBT data and
initial results are discussed. Over half (19 out of 30) of all observed
galaxies have detectable 21-cm emission. It was found that both the K+A and
star forming early-type (SFE) galaxies were on average more gas poor than disk
galaxies at the same luminosity while being more gas rich than more typical E
and S0 galaxies with detected 21-cm emission. The gas richness of K+A galaxies
appears to be similar to that of SFE galaxies. The star formation rates and
estimated star formation time scales of the SFE galaxies imply that they are
capable of only marginally changing their atomic hydrogen content. Follow-up
observations are required to explore these same issues in terms of molecular
gas, which is more likely to actively participate in the star formation
process. Kinematic data for the HI gas, the warm ionised gas, and the stars
within the galaxies combined with the SDSS $g$ and $i$ band surface brightness
profiles imply that the atomic hydrogen is most likely spatially coincident
with the star forming regions within ~1 kpc of the galaxies' centres.


title:
Embeddings of low-dimensional strange attractors: Topological invariants
  and degrees of freedom

abstract:
  When a low dimensional chaotic attractor is embedded in a three dimensional
space its topological properties are embedding-dependent. We show that there
are just three topological properties that depend on the embedding: parity,
global torsion, and knot type. We discuss how they can change with the
embedding. Finally, we show that the mechanism that is responsible for creating
chaotic behavior is an invariant of all embeddings. These results apply only to
chaotic attractors of genus one, which covers the majority of cases in which
experimental data have been subjected to topological analysis. This means that
the conclusions drawn from previous analyses, for example that the mechanism
generating chaotic behavior is a Smale horseshoe mechanism, a reverse
horseshoe, a gateau roule, an S-template branched manifold, ..., are not
artifacts of the embedding chosen for the analysis.


title: Highly Nonlinear Solitary Waves in Periodic Dimer Granular Chains

abstract:
  We report the propagation of highly nonlinear solitary waves in
heterogeneous, periodic granular media using experiments, numerical
simulations, and theoretical analysis. We examine periodic arrangements of
particles in experiments in which stiffer/heavier beads (stainless steel) are
alternated with softer/lighter ones (PTFE beads). We find excellent agreement
between experiments and numerics in a model with Hertzian interactions between
adjacent beads, which in turn agrees very well with a theoretical analysis of
the model in the long-wavelength regime that we derive for heterogeneous
environments and general bead interactions. Our analysis encompasses
previously-studied examples as special cases and also provides key insights on
the influence of the dimer lattice on the properties (width and propagation
speed) of the obtained highly nonlinear wave solutions.


title: Search for Excited Quarks in $q\bar{q} \to \gamma\gamma$ at the LHC

abstract:
  If quarks are composite particles, then excited states are expected to play a
r\^ole in the Large Hadron Collider phenomena. Concentrating on virtual
effects, and using a large part of the CMS detection criteria, we present here
a realistic examination of their effect in diphoton production at the LHC. For
various luminosities, we present the 99 % confidence limit (CL) achievable in
$\Lambda-M_{q*}$ parameter space where $\Lambda$ is the compositeness scale and
M_{q^*} the mass of the state. For a q^* of mass 0.5 TeV, $\Lambda \leq 1.55
(2.95)$ can be excluded at 99% CL with 30 (200)${\rm fb}^{-1}$ integrated
luminosity.


title:
Analytic steady-state space use patterns and rapid computations in
  mechanistic home range analysis

abstract:
  Mechanistic home range models are important tools in modeling animal dynamics
in spatially-complex environments. We introduce a class of stochastic models
for animal movement in a habitat of varying preference. Such models interpolate
between spatially-implicit resource selection analysis (RSA) and
advection-diffusion models, possessing these two models as limiting cases. We
find a closed-form solution for the steady-state (equilibrium) probability
distribution u* using a factorization of the redistribution operator into
symmetric and diagonal parts. How space use is controlled by the preference
function w then depends on the characteristic width of the redistribution
kernel: when w changes rapidly compared to this width, u* ~ w, whereas on
global scales large compared to this width, u* ~ w^2. We analyse the behavior
at discontinuities in w which occur at habitat type boundaries. We simulate the
dynamics of space use given two-dimensional prey-availability data and explore
the effect of the redistribution kernel width. Our factorization allows such
numerical simulations to be done extremely fast; we expect this to aid the
computationally-intensive task of model parameter fitting and inverse modeling.


title:
Molecular hydrogen isotopes adsorbed on krypton-preplated graphite:
  Quantum Monte Carlo simulations

abstract:
  Adsorption of ortho-deuterium and para-hydrogen films on a graphite
substrate, pre-plated with a single atomic layer of krypton, is studied
theoretically by means of quantum Monte Carlo simulations at low temperature.
Our model explicitly includes substrate corrugation. Energetic and structural
properties of these adsorbed films are computed for a range of hydrogen
coverages. Thermodynamically stable adsorbed films are solid, with no clear
evidence of any liquid-like phase. Quantum exchanges of ortho-deuterium and
para-hydrogen are essentially absent in this system, down to zero temperature;
consequently, this system displays no superfluidity in this limit. Our
simulations provide evidence of a stable domain wall fluid at low temperature,
consistently with recent experimental observations.


title:
Gauge invariant metric fluctuations in the early universe from STM
  theory of gravity: nonperturbative formalism

abstract:
  We develop a nonperturbative quantum field formalism to describe scalar
gauge-invariant metric flucturations in the early universe from a 5D apparent
(Ricci flat) vacuum.


title: D Hadronic Analyses at CLEO

abstract:
  The CLEO-c results on D meson production and hadronic decays obtained with
currently available data sets are presented.


title: Vacuum Fluctuations induced Entanglement between Two Mesoscopic Systems

abstract:
  We study the dynamics of a pair of molecular ensembles trapped inside a
superconducting resonator through which they are strongly coupled via a
microwave field mode. We find that entanglement can be generated via "vacuum
fluctuations" even when the molecules and cavity field are initially prepared
in their ground state. This entanglement is created in a relatively short time
and without the need for further manipulation of the system. It does,
therefore, provide a convenient scheme to entangle two mesoscopic systems, and
may well be useful quantum information processing.


title: SN 2006bp: Probing the Shock Breakout of a Type II-P Supernova

abstract:
  HET optical spectroscopy and unfiltered ROTSE-III photometry spanning the
first 11 months since explosion of the Type II-P SN 2006bp are presented. Flux
limits from the days before discovery combined with the initial rapid
brightening suggest the supernova was first detected just hours after shock
breakout. Optical spectra obtained about 2 days after breakout exhibit narrow
emission lines corresponding to HeII 4200, HeII 4686, and CIV 5805 in the rest
frame, and these features persist in a second observation obtained 5 hours
later; however, these emission lines are not detected the following night nor
in subsequent observations. We suggest that these lines emanate from material
close to the explosion site, possibly in the outer layers of the progenitor
that have been ionized by the high energy photons released at shock breakout. A
P-Cygni profile is observed around 4450 A in the +2 and +3 day spectra.
Previous studies have attributed this feature to high velocity H-beta, but we
discuss the possibility that this profile is instead due to HeII 4687. Further
HET observations (14 nights in total) covering the spectral evolution across
the photometric plateau up to 73 days after breakout and during the nebular
phase around day +340 are presented, and expansion velocities are derived for
key features. The measured decay slope for the unfiltered light curve is 0.0073
+/- 0.0004 mag/day between days +121 and +335, which is significantly slower
than the decay of rate 56Co. We combine our HET measurements with published
X-ray, UV, and optical data to obtain a quasi-bolometric light curve through
day +60. We see a slow cooling over the first 25 days, but no sign of an early
sharp peak; any such feature from the shock breakout must have lasted less than
~1 day.[ABRIDGED]


title: Implementation of non-local XOR function for coherent-state qubit

abstract:
  This work describes how to implement a non-local xor function for
coherent-state qubit using only linear optics. The setup proposed does not use
gates based on teleportation and it has probability of success equal to 0.5, in
the lossless case, when the necessary entangled state is available. The key
element that makes possible the realization of the non-local xor function is a
tripartite GHZ-type entangled coherent state. Its generation is proposed
firstly using an ideal lossless setup and secondly considering the decoherence
caused by losses in the optical devices.


title: pi-Xi correlations in d+Au and Au+Au collisions at STAR

abstract:
  Qualitative comparison of source sizes from pi-Xi correlations analyses in
d+Au and Au+Au collisions at sqrt(s_NN)=200G GeV and sqrt(s_NN)=62 GeV is
presented. For the most central Au+Au collisions at sqrt(s_NN)=200 GeV we
report first quantitative results concerning size of the pi-Xi source and
relative shift of the average emission points between pi and Xi showing that
the homogeneity region of Xi source is smaller then that of pion and
significantly shifted in the transverse direction.


title: Gravitational waveforms for finite mass binaries

abstract:
  One of the promising sources of gravitational radiation is a binary system
composed of compact stars. It is an important question how the rotation of the
bodies and the eccentricity of the orbit affect the detectable signal. Here we
present a method to evaluate the gravitational wave polarization states for
inspiralling compact binaries with comparable mass. We consider eccentric
orbits and the spin-orbit contribution in the case of one spinning object up to
1.5 post-Newtonian order. For circular orbits our results are in agreement with
existing calculations.


title: Deconvolution with unknown error distribution

abstract:
  We consider the problem of estimating a density $f_X$ using a sample
$Y_1,...,Y_n$ from $f_Y=f_X\star f_{\epsilon}$, where $f_{\epsilon}$ is an
unknown density. We assume that an additional sample
$\epsilon_1,...,\epsilon_m$ from $f_{\epsilon}$ is observed. Estimators of
$f_X$ and its derivatives are constructed by using nonparametric estimators of
$f_Y$ and $f_{\epsilon}$ and by applying a spectral cut-off in the Fourier
domain. We derive the rate of convergence of the estimators in case of a known
and unknown error density $f_{\epsilon}$, where it is assumed that $f_X$
satisfies a polynomial, logarithmic or general source condition. It is shown
that the proposed estimators are asymptotically optimal in a minimax sense in
the models with known or unknown error density, if the density $f_X$ belongs to
a Sobolev space $H_{\mathbh p}$ and $f_{\epsilon}$ is ordinary smooth or
supersmooth.


title:
Recent results of the STAR high-energy polarized proton-proton program
  at RHIC at BNL

abstract:
  The STAR experiment at the Relativistic Heavy-Ion Collider (RHIC) at
Brookhaven National Laboratory (BNL) is carrying out a spin physics program
colliding transverse or longitudinal polarized proton beams at
$\sqrt{s}=200-500 $GeV to gain a deeper insight into the spin structure and
dynamics of the proton. These studies provide fundamental tests of Quantum
Chromodynamics (QCD).
  One of the main objectives of the STAR spin physics program is the
determination of the polarized gluon distribution function through a
measurement of the longitudinal double-spin asymmetry, $A_{LL}$, for various
processes. Recent results will be shown on the measurement of $A_{LL}$ for
inclusive jet production, neutral pion production and charged pion production
at $\sqrt{s}=200 $GeV. In addition to these measurements involving longitudinal
polarized proton beams, the STAR collaboration has performed several important
measurements employing transverse polarized proton beams. New results on the
measurement of the transverse single-spin asymmetry, $A_{N}$, for forward
neutral pion production and the first measurement of $A_{N}$ for mid-rapidity
di-jet production will be discussed.


title: An approach to anomalies in M-theory via KSpin

abstract:
  The M-theory fieldstrength and its dual, given by the integral lift of the
left hand side of the equation of motion, both satisfy certain cohomological
properties. We study the combined fields and observe that the multiplicative
structure on the product of the corresponding degree four and degree eight
cohomology fits into that given by Spin K-theory. This explains some earlier
results and leads naturally to the use of Spin characteristic classes. We
reinterpret the one-loop term in terms of such classes and we show that it is
homotopy invariant. We argue that the various anomalies have natural
interpretations within Spin K-theory. In the process, mod 3 reductions play a
special role.


title: Biclosed bicategories: localisation of convolution

abstract:
  We give a summary (without proofs) of the main results in the author's thesis
entitled ``Construction of biclosed categories'' (University of New South
Wales, Australia, 1970). This summary is reprinted directly from Report 81-0030
of the School of Mathematics and Physics, Macquarie University, April 1981. In
particular, it gives sufficient conditions for existence of an extension of a
(pro)monoidal category structure along a given dense functor to a cocomplete
category. The two basic procedures used in the proof turn out to be special
cases of the final result, the two respective dense functors then being the
Yoneda embedding followed by a localisation. The final result has a standard
universal property based on left Kan extension of (pro)monoidal functors along
the given dense functor, however this property is not stated explicitly here.


title:
The Dixmier-Moeglin equivalence and a Gel'fand-Kirillov problem for
  Poisson polynomial algebras

abstract:
  The structure of Poisson polynomial algebras of the type obtained as
semiclassical limits of quantized coordinate rings is investigated. Sufficient
conditions for a rational Poisson action of a torus on such an algebra to leave
only finitely many Poisson prime ideals invariant are obtained. Combined with
previous work of the first-named author, this establishes the Poisson
Dixmier-Moeglin equivalence for large classes of Poisson polynomial rings, such
as semiclassical limits of quantum matrices, quantum symplectic and euclidean
spaces, quantum symmetric and antisymmetric matrices. For a similarly large
class of Poisson polynomial rings, it is proved that the quotient field of the
algebra (respectively, of any Poisson prime factor ring) is a rational function
field $F(x_1,...,x_n)$ over the base field (respectively, over an extension
field of the base field) with $\{x_i,x_j\}= \lambda_{ij} x_ix_j$ for suitable
scalars $\lambda_{ij}$, thus establishing a quadratic Poisson version of the
Gel'fand-Kirillov problem. Finally, partial solutions to the isomorphism
problem for Poisson fields of the type just mentioned are obtained.


title: Linearly bounded infinite graphs

abstract:
  Linearly bounded Turing machines have been mainly studied as acceptors for
context-sensitive languages. We define a natural class of infinite automata
representing their observable computational behavior, called linearly bounded
graphs. These automata naturally accept the same languages as the linearly
bounded machines defining them. We present some of their structural properties
as well as alternative characterizations in terms of rewriting systems and
context-sensitive transductions. Finally, we compare these graphs to rational
graphs, which are another class of automata accepting the context-sensitive
languages, and prove that in the bounded-degree case, rational graphs are a
strict sub-class of linearly bounded graphs.


title: Annealing in solid $^4$He

abstract:
  We have used a torsional oscillator with square cross section and a resonance
frequency of 185 Hz to confirm the nonclassical rotational inertia (NCRI)
discovered by Kim and Chan\cite{1,2}. We have also found a strong correlation
between the NCRI signal and a high dissipation Q$^{-1}$ of 4 $\times$ 10$^{-6}$
of the oscillation above the transition temperature. Here, we present
preliminary results of the annealing process in $^{4}$He at a pressure of 26
bar. When holding the temperature constant above 1 K we have observed a
immediate rise in the period and a slow decay of the dissipation. The
equilibrium value of Q$^{-1}$ decreases with increasing temperature.


title:
A New Perspective to Cosmic Evolution and Vacuum Selection on a
  Superspace

abstract:
  I conjecture that a flat 10D compact universe emerged out of nothing (By
``nothing'' I mean no notion of space and time) with all it's symmetries
intact: Poincare invariance, conformal invariance and supersymmetry, it's
massless moduli fields, and a zero energy density. Its subsequent evolution and
spontaneous breaking of these symmetries or by quantum fluctuations leads to
topological defects on this superspace which are the fields we observe (or
haven't yet observed) propagating in this spacetime. By the law of naturalness
it will restore all these broken symmetries. In recent years, the cosmological
constant problem has metamorphosed to a new problem of finding a selection
mechanism that selects our vacuum out of a string theory landscape or resign to
anthropic reasoning. I provide a new perspective for solving this problem using
a multistep approach based on the wavefunction, inflation and conformal
symmetry.


title: Analyzing WMAP Observation by Quantum Gravity

abstract:
  The angular power spectra of cosmic microwave background are analyzed under
the light of the evolutional scenario of the universe based on the
renormalizable quantum theory of gravity in four dimensions. The equation of
evolution is solved numerically fixing the power law spectrum predicted by the
conformal gravity for the initial condition. The equation requires to introduce
a dynamical energy scale about 10^{17}GeV, where the inflationary space-time
evolution makes a transition to the big-bang of the conventional Friedmann
universe. The quality of fit to the three-year data of WMAP implies the
possibility to understand the observation by quantum gravity.


title: Opposite sign correlations in fermion or boson gases

abstract:
  We investigate pair correlations in trapped fermion and boson gases as a
means to probe the quantum states producing the density fluctuations. We point
out that "opposite sign correlations" (meaning pair correlations that are
positive for fermions and negative for bosons) unambiguously indicate that the
quantum many-particle state cannot be "free." In particular, a system of
fermions that exhibits positive pair correlations cannot be described by any
Slater determinant wavefunction. This insight may help one to interpret results
of current experiments on ultracold atomic gases.


title: Stabilising entanglement by quantum jump-based feedback

abstract:
  We show that direct feedback based on quantum jump detection can be used to
generate entangled steady states. We present a strategy that is insensitive to
detection inefficiencies and robust against errors in the control Hamiltonian.
This feedback procedure is also shown to overcome spontaneous emission effects
by stabilising states with high degree of entanglement.


title: Glueball-Induced Partonic Energy Loss in Quark-Gluon Plasma

abstract:
  We discuss the energy loss of energetic parton jets in quark-gluon plasma
above the deconfinement temperature $T_c$ by the interaction with scalar and
pseudoscalar glueballs. It is shown that the loss by this mechanism is quite
important and may play the important role of the observed jet-quenching.


title:
Fluxes of Higher-spin Currents and Hawking Radiations from Charged Black
  Holes

abstract:
  This is an extended version of the previous paper (hep-th/0701272). Quantum
fields near horizons can be described in terms of an infinite set of
two-dimensional conformal fields. We first generalize the method of Christensen
and Fulling to charged black holes to derive fluxes of energy and charge. These
fluxes can be obtained by employing a conformal field theory technique. We then
apply this technique to obtain the fluxes of higher-spin currents and show that
the thermal distribution of Hawking radiation from a charged black hole can be
completely reproduced by investigating transformation properties of the
higher-spin currents under conformal and gauge transformations.


title: Slow wave resonance in periodic stacks of anisotropic layers

abstract:
  We consider transmission band edge resonance in periodic layered structures
involving birefringent layers. Previously we have shown that the presence of
birefringent layers with misaligned in-plane anisotropy can dramatically
enhance the performance of the photonic-crystal Fabry-Perot resonator. It
allows to reduce its size by an order of magnitude without compromising on its
performance. The key characteristic of the enhanced photonic-crystal cavity is
that its Bloch dispersion relation displays a degenerate photonic band edge,
rather than only regular ones. This can be realized in specially arranged
stacks of misaligned anisotropic layers. On the down side, the presence of
birefringent layers results in the Fabry-Perot resonance being coupled only
with one (elliptic) polarization component of the incident wave, while the
other polarization component is reflected back to space. In this paper we show
how a small modification of the periodic layered array can solve the above
fundamental problem and provide a perfect impedance match regardless of the
incident wave polarization, while preserving the giant transmission resonance,
characteristic of a degenerate photonic band edge. Both features are of
critical importance for a variety of practical applications, including
antennas, light amplification, optical and microwave filters, etc.


title: The two-parameter Poisson--Dirichlet point process

abstract:
  The two-parameter Poisson--Dirichlet distribution is a probability
distribution on the totality of positive decreasing sequences with sum 1 and
hence considered to govern masses of a random discrete distribution. A
characterization of the associated point process (that is, the random point
process obtained by regarding the masses as points in the positive real line)
is given in terms of the correlation functions. Using this, we apply the theory
of point processes to reveal the mathematical structure of the two-parameter
Poisson--Dirichlet distribution. Also, developing the Laplace transform
approach due to Pitman and Yor, we are able to extend several results
previously known for the one-parameter case. The Markov--Krein identity for the
generalized Dirichlet process is discussed from the point of view of functional
analysis based on the two-parameter Poisson--Dirichlet distribution.


title:
Effect of negative energy components for two-nucleon systems in the
  relativistic framework with the separable ansatz

abstract:
  We investigate the electromagnetic properties of the deuteron such as the
charge and magnetic form factors by solving the Bethe-Salpeter equation (BSE)
with the separable ansatz. In solving the deuteron bound state solution to the
BSE, we include negative energy components of $P$-wave in addition to the
$^3S_1$ and $^3D_1$ states of positive energy, employing a rank IV separable
ansatz. We found that the inclusion of the negative energy components improves
systematically the electromagnetic properties which are not described in the
conventional non-relativistic impulse approximation.


title:
Measurement of Newtonian fluid slip using a torsional ultrasonic
  oscillator

abstract:
  The composite torsional ultrasonic oscillator, a versatile experimental
system, can be used to investigate slip of Newtonian fluid at a smooth surface.
A rigorous analysis of slip-dependent damping for the oscillator is presented.
Initially, the phenomenon of finite surface slip and the slip length are
considered for a half-space of Newtonian fluid in contact with a smooth,
oscillating solid surface. Definitions are revisited and clarified in light of
inconsistencies in the literature. We point out that, in general oscillating
flows, Navier's slip length b is a complex number. An intuitive velocity
discontinuity parameter of unrestricted phase is used to describe the effect of
slip on measurement of viscous shear damping. The analysis is applied to the
composite oscillator and preliminary experimental work for a 40 kHz oscillator
is presented. The Non-Slip Boundary Condition (NSBC) has been verified for a
hydrophobic surface in water to within ~60 nm of |b|=0 nm. Experiments were
carried out at shear rate amplitudes between 230 and 6800 /s, corresponding to
linear displacement amplitudes between 3.2 and 96 nm.


title:
Edge solitons of topological insulators and fractionalized
  quasiparticles in two dimensions

abstract:
  An important characteristic of topological band insulators is the necessary
presence of in-gap edge states on the sample boundary. We utilize this fact to
show that when the boundary is reconnected with a twist, there are always
zero-energy defect states. This provides a natural connection between novel
defects in the two-dimensional $p_{x}+ip_{y}$ superconductor, the Kitaev model,
the fractional quantum Hall effect, and the one-dimensional domain wall of
polyacetylene.


title:
Brane cosmological solutions in six-dimensional warped flux
  compactifications

abstract:
  We study cosmology on a conical brane in the six-dimensional
Einstein-Maxwell-dilaton system, where the extra dimensions are compactified by
a magnetic flux. We systematically construct exact cosmological solutions using
the fact that the system is equivalently described by (6+n)-dimensional pure
Einstein-Maxwell theory via dimensional reduction. In particular, we find a
power-law inflationary solution for a general dilatonic coupling. When the
dilatonic coupling is given by that of Nishino-Sezgin chiral supergravity, this
reduces to the known solution which is not inflating. The power-law solution is
shown to be the late-time attractor. We also investigate cosmological tensor
perturbations in this model using the (6+n)-dimensional description. We obtain
the separable equation of motion and find that there always exist a zero mode,
while tachyonic modes are absent in the spectrum. The mass spectrum of
Kaluza-Klein modes is obtained numerically.


title: Multiscale Resolution of Shortwave-Longwave Interaction

abstract:
  In the study of time-dependent waves, it is computationally expensive to
solve a problem in which high frequencies (shortwaves, with wavenumber k =
kmax) and low frequencies (longwaves, near k=kmin) mix. Consider a problem in
which low frequencies scatter off a sharp impurity. The impurity generates high
frequencies which propagate and spread throughout the computational domain,
while the domain must be large enough to contain several longwaves.
Conventional spectral methods have computational cost proportional to
O(kmax/kmin \log (kmax/kmin)).
  We present here a multiscale algorithm (implemented for the Schrodinger
equation, but generally applicable) which solves the problem with cost (in
space and time) O(kmax L log(kmax / kmin) \log(kmax L)). Here, L is the width
of the region in which the algorithm resolves all frequencies, and is
independent of kmin.


title:
Local spin dynamic arising from the non-perturbative SU(2) gauge field
  of the spin orbit effect

abstract:
  We use the non-perturbative gauge field approach to study the effects of spin
orbit coupling on the dynamic of magnetic moment. We present a general equation
of motion (EOM) which unifies i) the spin orbit coupling effect derived from
the SU(2) spin gauge field, and ii) the moment chirality effect previously
derived from the topological U(1)xU(1) rotation gauge under the adiabatic
condition. We present a modified Landau-Liftshitz-Gilbert equation and discuss
the implication of the modified EOM in various technological applications, such
as current-induced switching and trajectory of magnetic moments in spin-valve
multilayers, magnetic memory and diluted magnetic semiconductor.


title: Making Random Choices Invisible to the Scheduler

abstract:
  When dealing with process calculi and automata which express both
nondeterministic and probabilistic behavior, it is customary to introduce the
notion of scheduler to solve the nondeterminism. It has been observed that for
certain applications, notably those in security, the scheduler needs to be
restricted so not to reveal the outcome of the protocol's random choices, or
otherwise the model of adversary would be too strong even for ``obviously
correct'' protocols. We propose a process-algebraic framework in which the
control on the scheduler can be specified in syntactic terms, and we show how
to apply it to solve the problem mentioned above. We also consider the
definition of (probabilistic) may and must preorders, and we show that they are
precongruences with respect to the restricted schedulers. Furthermore, we show
that all the operators of the language, except replication, distribute over
probabilistic summation, which is a useful property for verification.


title: Ferroelectric Phase Transitions in Ultra-thin Films of BaTiO3

abstract:
  We present molecular dynamics simulations of a realistic model of an
ultrathin film of BaTiO$_3$ sandwiched between short-circuited electrodes to
determine and understand effects of film thickness, epitaxial strain and the
nature of electrodes on its ferroelectric phase transitions as a function of
temperature. We determine a full epitaxial strain-temperature phase diagram in
the presence of perfect electrodes. Even with the vanishing depolarization
field, we find that ferroelectric phase transitions to states with in-plane and
out-of-plane components of polarization exhibit dependence on thickness; it
arises from the interactions of local dipoles with their electrostatic images
in the presence of electrodes. Secondly, in the presence of relatively bad
metal electrodes which only partly compensate the surface charges and
depolarization field, a qualitatively different phase with stripe-like domains
is stabilized at low temperature.


title: Thermal photons to dileptons ratio at LHC

abstract:
  It is shown that the ratio of transverse momentum (p_T) distribution of
thermal photons to dileptons produced in heavy ion collisions reaches a plateau
above p_T=1 GeV. We argue that the value of the ratio in the plateau region can
be used to estimate the initial temperature.


title: Entangled-State Cycles of Atomic Collective-Spin States

abstract:
  We study quantum trajectories of collective atomic spin states of $N$
effective two-level atoms driven with laser and cavity fields. We show that
interesting ``entangled-state cycles'' arise probabilistically when the (Raman)
transition rates between the two atomic levels are set equal. For odd (even)
$N$, there are $(N+1)/2$ ($N/2$) possible cycles. During each cycle the
$N$-qubit state switches, with each cavity photon emission, between the states
$(|N/2,m>\pm |N/2,-m>)/\sqrt{2}$, where $|N/2,m>$ is a Dicke state in a rotated
collective basis. The quantum number $m$ ($>0$), which distinguishes the
particular cycle, is determined by the photon counting record and varies
randomly from one trajectory to the next. For even $N$ it is also possible,
under the same conditions, to prepare probabilistically (but in steady state)
the Dicke state $|N/2,0>$, i.e., an $N$-qubit state with $N/2$ excitations,
which is of particular interest in the context of multipartite entanglement.


title: Magnetic helicity effects in astrophysical and laboratory dynamos

abstract:
  Magnetic helicity effects are discussed in laboratory and astrophysical
settings. First, dynamo action in Taylor-Green flows is discussed for different
boundary conditions. However, because of the lack of scale separation with
respect to the container, no large scale field is being produced and there is
no resistively slow saturation phase as otherwise expected. Second, the
build-up of a large scale field is demonstrated in a simulation where a
localized magnetic eddy produces field on a larger scale if the eddy possesses
a swirl. Such a set-up might be realizable experimentally through coils.
Finally, new emerging issues regarding the connection between magnetic helicity
and the solar dynamo are discussed. It is demonstrated that dynamos with a
non-local (Babcock-Leighton type) alpha effect can also be catastrophically
quenched, unless there are magnetic helicity fluxes.


title: Simulations of the anisotropic kinetic and magnetic alpha effects

abstract:
  The validity of a closure called the minimal tau approximation (MTA), is
tested in the context of dynamo theory, wherein triple correlations are assumed
to provide relaxation of the turbulent electromotive force. Under MTA, the
alpha effect in mean field dynamo theory becomes proportional to a relaxation
time scale multiplied by the difference between kinetic and current helicities.
It is shown that the value of the relaxation time is positive and, in units of
the turnover time at the forcing wavenumber, it is of the order of unity. It is
quenched by the magnetic field -- roughly independently of the magnetic
Reynolds number. However, this independence becomes uncertain at large magnetic
Reynolds number. Kinetic and current helicities are shown to be dominated by
large scale properties of the flow.


title: Comment on: A SuperMassive Black Hole Fundamental Plane for Ellipticals

abstract:
  A simple regression analysis designed for predicting the supermassive black
hole mass from the effective radius and mean effective surface brightness of
the host bulge has been performed using the data from Barway & Kembhavi
(arXiv:0705.1508). The scatter in the log M_bh direction is 0.32 dex, greater
than reported and comparable with values obtained using a single predictor
quantity such as luminosity, velocity dispersion or Sersic index.


title: Variations on a Theme of Jost and Pais

abstract:
  We explore the extent to which a variant of a celebrated formula due to Jost
and Pais, which reduces the Fredholm perturbation determinant associated with
the Schr\"odinger operator on a half-line to a simple Wronski determinant of
appropriate distributional solutions of the underlying Schr\"odinger equation,
generalizes to higher dimensions. In this multi-dimensional extension the
half-line is replaced by an open set $\Omega\subset\bbR^n$, $n\in\bbN$, $n\geq
2$, where $\Omega$ has a compact, nonempty boundary $\partial\Omega$ satisfying
certain regularity conditions. Our variant involves ratios of perturbation
determinants corresponding to Dirichlet and Neumann boundary conditions on
$\partial\Omega$ and invokes the corresponding Dirichlet-to-Neumann map. As a
result, we succeed in reducing a certain ratio of modified Fredholm
perturbation determinants associated with operators in $L^2(\Omega; d^n x)$,
$n\in\bbN$, to modified Fredholm determinants associated with operators in
$L^2(\partial\Omega; d^{n-1}\sigma)$, $n\geq 2$.
  Applications involving the Birman-Schwinger principle and eigenvalue counting
functions are discussed.


title:
Fourier analysis on the affine group, quantization and noncompact Connes
  geometries

abstract:
  We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of
the line. A noncommutative product of functions on the half-plane, underlying a
noncompact spectral triple in the sense of Connes, is obtained from it. The
corresponding Wigner functions reproduce the time-frequency distributions of
signal processing. The same construction leads to scalar Fourier
transformations on the affine group, simplifying and extending the Fourier
transformation proposed by Kirillov.


title: Results from HARP and their implications for neutrino physics

abstract:
  Recent results from the HARP experiment on the measurements of the
double-differential production cross-section of pions in proton interactions
with beryllium, carbon and tantalum targets are presented. These results are
relevant for a detailed understanding of neutrino flux in accelerator neutrino
experiments MiniBooNE/SciBooNE, for a better prediction of atmospheric neutrino
fluxes as well as for an optimization of a future neutrino factory design.


title: Standard Model Higgs Boson Searches at the Tevatron

abstract:
  The CDF and D{\O} experiments at the Tevatron are currently the only capable
of searching for the Standard Model Higgs boson. This article describes their
most sensitive searches in the expected Higgs mass range, focusing on advanced
methods used to extract the maximal sensitivity from the data. CDF presents
newly updated results for $H \to W^+W^-$ and $ZH \to l^+l^- b\bar{b}$. D{\O}\
presents two new searches for $WH \to l\nu b\bar{b}$. These new analyses use
the same 1 fb$^{-1}$ dataset as previous searches, but with improved techniques
resulting in markedly improved sensitivity.


title: Kinematics of hypervelocity stars in the triaxial halo of the Milky Way

abstract:
  Hypervelocity stars (HVSs) ejected by the massive black hole at the Galactic
center have unique kinematic properties compared to other halo stars. Their
trajectories will deviate from being exactly radial because of the asymmetry of
the Milky Way potential produced by the flattened disk and the triaxial dark
matter halo, causing a change of angular momentum that can be much larger than
the initial small value at injection. We study the kinematics of HVSs and
propose an estimator of dark halo triaxiality that is determined only by
instantaneous position and velocity vectors of HVSs at large Galactocentric
distances (r>~50kpc). We show that, in the case of a substantially triaxial
halo, the distribution of deflection angles (the angle between the stellar
position and velocity vector) for HVSs on bound orbits is spread uniformly over
the range 10--180deg. Future astrometric and deep wide-field surveys should
measure the positions and velocities of a significant number of HVSs, and
provide useful constraints on the shape of the Galactic dark matter halo.


title: A Morita context and Galois extensions for Quasi-Hopf algebras

abstract:
  If H is a finite dimensional quasi-Hopf algebra and A is a left H-module
algebra, we prove that there is a Morita context connecting the smash product
A#H and the subalgebra of invariants A^{H}. We define also Galois extensions
and prove the connection with this Morita context, as in the Hopf case.


title: On a generalized Sturm theorem

abstract:
  Sturm oscillation theorem for second order differential equations was
generalized to systems and higher order equations with positive leading
coefficient by several authors. What we propose here is a Sturm oscillation
theorem for systems of even order having strongly indefinite leading
coefficient.


title: Holographic tachyon model of dark energy

abstract:
  In this paper we consider a correspondence between the holographic dark
energy density and tachyon energy density in FRW universe. Then we reconstruct
the potential and the dynamics of the tachyon field which describe tachyon
cosmology.


title: Constraints On Unparticle Physics In Electroweak Gauge Boson Scattering

abstract:
  The existence of scale invariant physics would lead to new phenomena in
particle physics that could be detected at the LHC. In this paper we exploit
the effects of these unparticles in $WW \to WW$ scattering. From the
requirement of unitarity we derive constraints on unparticle physics. We show
that the existence of unparticles would lead to deviations in differential
cross sections which can be measured. These deviations are sensitive on the
scale dimension and on the spin characteristics of the unparticles.


title:
Comparison of dust-to-gas ratios in luminous, ultraluminous, and
  hyperluminous infrared galaxies

abstract:
  The dust-to-gas ratios in three different samples of luminous, ultraluminous,
and hyperluminous infrared galaxies are calculated by modelling their radio to
soft X-ray spectral energy distributions using composite models which account
for the photoionizing radiation from HII regions, starbursts, or AGNs, and for
shocks. The models are limited to a set which broadly reproduces the mid-IR
fine structure line ratios of local, IR bright, starburst galaxies. The results
show that two types of clouds contribute to the IR emission. Those
characterized by low shock velocities and low preshock densities explain the
far-IR dust emission, while those with higher velocities and densities
contribute to mid-IR dust emission. An AGN is found in nearly all of the
ultraluminous IR galaxies and in half of the luminous IR galaxies of the
sample. High IR luminosities depend on dust-to-gas ratios of about 0.1 by mass,
however, most hyperluminous IR galaxies show dust-to-gas ratios much lower than
those calculated for the luminous and ultraluminous IR galaxies.


title:
Evidences for pairing of nearly-free quasiparticles from
  paraconductivity in layered superconducting cuprates

abstract:
  We revisit the Aslamazov-Larkin theory of paraconductivity in two dimensions,
to distinguish its universal features from the specific features of nearly-free
paired fermions. We show that both the numerical prefactor and the temperature
dependence of the experimental paraconductivity in underdoped La_{2-x}Sr_xCuO_4
are only compatible with pairing of nearly-free fermionic quasiparticles. This
conclusion is strengthened by the analysis of paraconductivity data in the
presence of a finite magnetic field, from which we extract a rather low value
of the critical field H_{c2}(T=0).


title:
Roles of resonance and dark irradiance for infrared photorefractive
  self-focusing and solitons in bi-polar InP:Fe

abstract:
  This paper shows experimental evidence of photorefractive steady state
self-focusing in InP:Fe for a wide range of intensities, at both 1.06 and
1.55$\mu$m. To explain those results, it is shown that despite the bi-polar
nature of InP:Fe where one photocarrier and one thermal carrier are to be
considered, the long standing one photocarrier model for photorefractive
solitons can be usefully applied. The relationship between the dark irradiance
stemming out of this model and the known resonance intensity is then discussed.


title: Small Bialgebras with a Projection: Applications

abstract:
  In this paper we continue the investigation started in [A.M.St.-Small],
dealing with bialgebras $A$ with an $H$-bilinear coalgebra projection over an
arbitrary subbialgebra $H$ with antipode. These bialgebras can be described as
deformed bosonizations $R#_{\xi} H$ of a pre-bialgebra $R$ by $H$ with a
cocycle $\xi$. Here we describe the behavior of $\xi$ in the case when $R$ is
f.d. and thin i.e. it is connected with one dimensional space of primitive
elements. This is used to analyze the arithmetic properties of $A$. Meaningful
results are obtained when $H$ is cosemisimple. By means of Ore extension
construction, we provide some examples of atypical situations (e.g. the
multiplication of $R$ is not $H$-colinear or $\xi$ is non-trivial).


title: On the reduction of hypercubic lattice artifacts

abstract:
  This note presents a comparative study of various options to reduce the
errors coming from the discretization of a Quantum Field Theory in a lattice
with hypercubic symmetry. We show that it is possible to perform an
extrapolation towards the continuum which is able to eliminate systematically
the artifacts which break the O(4) symmetry.


title: Integral Chow rings of toric stacks

abstract:
  The purpose of this paper is to prove that integral Chow rings of toric
stacks are naturally isomorphic to Stanley-Reisner rings.


title: Comment on "Minimal size of a barchan dune"

abstract:
  It is now an accepted fact that the size at which dunes form from a flat sand
bed as well as their `minimal size' scales on the flux saturation length. This
length is by definition the relaxation length of the slowest mode toward
equilibrium transport. The model presented by Parteli, Duran and Herrmann
[Phys. Rev. E 75, 011301 (2007)] predicts that the saturation length decreases
to zero as the inverse of the wind shear stress far from the threshold. We
first show that their model is not self-consistent: even under large wind, the
relaxation rate is limited by grain inertia and thus can not decrease to zero.
A key argument presented by these authors comes from the discussion of the
typical dune wavelength on Mars (650 m) on the basis of which they refute the
scaling of the dune size with the drag length evidenced by Claudin and
Andreotti [Earth Pla. Sci. Lett. 252, 30 (2006)]. They instead propose that
Martian dunes, composed of large grains (500 micrometers), were formed in the
past under very strong winds. We show that this saltating grain size, estimated
from thermal diffusion measurements, is not reliable. Moreover, the microscopic
photographs taken by the rovers on Martian aeolian bedforms show a grain size
of 87 plus or minus 25 micrometers together with hematite spherules at
millimetre scale. As those so-called ``blueberries'' can not be entrained by
reasonable winds, we conclude that the saltating grains on Mars are the small
ones, which gives a second strong argument against the model of Parteli et al.


title:
Cu NQR Wipeout Effect versus Charge Pseudogap in Zn/Ni Doped
  NdBa$_{2}$Cu$_{3}$O$_{6+y}$

abstract:
  We report $^{63,65}$Cu NQR measurements on slightly underdoped
NdBa$_{2}$Cu$_{3}$O$_{6+y}$ single crystals heavily doped by Ni and Zn
impurities. Owing to the impurity doping superconductivity is fully suppressed
in both cases. The Ni strongly enhances magnetic correlations and induces a
wipeout of the NQR signal comparable to that found in stripe ordered lanthanum
cuprates. In contrast, the magnetism is suppressed in the Zn doped sample where
no wipeout effect is observed and the nuclear spin relaxation rate is reduced.
Our findings are in a striking correspondence with the different impact of Ni
and Zn impurities on the charge pseudogap evidenced by recent optical data,
uncovering thereby a close relationship between the magnetic correlations and
pseudogap phenomena.


title:
Testing the seesaw mechanism at collider energies in the Randall-Sundrum
  model

abstract:
  The Randall-Sundrum model with gauge fields and fermions in the bulk has
several attractive features including the gauge coupling unification, a
candidate for the dark matter, and an explanation for the hierarchical Yukawa
couplings.
  In this paper, we point out that the 1st Kaluza-Klein modes of right-handed
neutrinos may be produced at colliders, for both Dirac and Majorana neutrino
cases. Furthermore, we can see whether the neutrino masses are Dirac type or
Majorana type from the mass spectrum of KK particles.


title:
The Generalized Curvature and Christoffel Symbols for a Higher Spin
  Potential in AdS_{d+1} Space

abstract:
  The generalized curvature tensor and Christoffel symbols are determined in
AdS_{d+1} background by a modified ansatz of the de Wit - Freedman type by
imposing gauge invariance. The resulting set of recurrence relations and
difference equations is solved. The Riemann curvature tensor is derived by
antisymmetrization. All results are presented as finite power series in the
inverse AdS radius and are unique. The fourth order, which is complete for
fields up to spin five, is calculated explicitly. Higher orders can be obtained
with the same method.


title:
Detailed study of a transition point in the Veneziano-Wosiek model of
  Planar Quantum Mechanics

abstract:
  Following a model recently investigated by Veneziano and Wosiek we briefly
introduce Planar Quantum Mechanics (PQM). Then, we present high precision
numerical results in the sectors with two and three fermions. We confirm, that
the transition point in the 't Hooft's coupling constant lambda in these
sectors occurs at lambda = 1, as was expected.


title: Gauge transformations and symmetries of integrable systems

abstract:
  We analyze several integrable systems in zero-curvature form within the
framework of $SL(2,\R)$ invariant gauge theory. In the Drienfeld-Sokolov gauge
we derive a two-parameter family of nonlinear evolution equations which as
special cases include the Kortweg-de Vries (KdV) and Harry Dym equations. We
find residual gauge transformations which lead to infinintesimal symmetries of
this family of equations. For KdV and Harry Dym equations we find an infinite
hierarchy of such symmetry transformations, and we investigate their relation
with local conservation laws, constants of the motion and the bi-Hamiltonian
structure of the equations. Applying successive gauge transformatinos of Miura
type we obtain a sequence of gauge equivalent integrable systems, among them
the modified KdV and Calogero KdV equations.


title: Linear balls and the multiplicity conjecture

abstract:
  A linear ball is a simplicial complex whose geometric realization is
homeomorphic to a ball and whose Stanley--Reisner ring has a linear resolution.
It turns out that the Stanley--Reisner ring of the sphere which is the boundary
complex of a linear ball satisfies the multiplicity conjecture. A class of
shellable spheres arising naturally from commutative algebra whose
Stanley--Reisner rings satisfy the multiplicity conjecture will be presented.


title: Deformation of Super Yang-Mills Theories in R-R 3-form Background

abstract:
  We study deformation of N=2 and N=4 super Yang-Mills theories, which are
obtained as the low-energy effective theories on the (fractional) D3-branes in
the presence of constant Ramond-Ramond 3-form background. We calculate the
Lagrangian at the second order in the deformation parameter from open string
disk amplitudes. In N=4 case we find that all supersymmetries are broken for
generic deformation parameter but part of supersymmetries are unbroken for
special case. We also find that classical vacua admit fuzzy sphere
configuration. In N=2 case we determine the deformed supersymmetries. We
rewrite the deformed Lagrangians in terms of N=1 superspace, where the
deformation is interpreted as that of coupling constants.


title: Holographic Construction of Technicolor Theory

abstract:
  We construct a dual description of technicolor theory based on the D4/D8
brane configuration. A strongly-coupled technicolor theory is identified as the
effective theory on D-branes, and from the gauge/gravity correspondence, we
explore the weakly-coupled holographic description of dynamical electroweak
symmetry breaking. It is found from the D-brane probe action that the masses of
W and Z bosons are given by the decay constant of technipion, and the
technimesons become hierarchically heavy. Moreover, the couplings of heavier
modes to standard model fermions are rather suppressed. The oblique correction
parameters are also evaluated and found to be small except for the S parameter,
which can be reduced by modifying the model. The fermion fields are introduced
at the intersections of D-branes and their masses are generated via massive
gauge bosons from open strings stretching between D-branes.


title: On circulant states with positive partial transpose

abstract:
  We construct a large class of quantum "d x d" states which are positive under
partial transposition (so called PPT states). The construction is based on
certain direct sum decomposition of the total Hilbert space displaying
characteristic circular structure - that is way we call them circulant states.
It turns out that partial transposition maps any such decomposition into
another one and hence both original density matrix and its partially transposed
partner share similar cyclic properties. This class contains many well known
examples of PPT states from the literature and gives rise to a huge family of
completely new states.


title:
Study of intrinsic spin and orbital Hall effects in Pt based on a (6s,
  6p, 5d) tight-binding model

abstract:
  We study the origin of the intrinsic spin Hall conductivity (SHC) and the
d-orbital Hall conductivity (OHC) in Pt based on a multiorbital tight-binding
model with spin-orbit interaction. We find that the SHC reaches 1000
\hbar/e\Omega cm when the resistivity \rho is smaller than ~10 \mu\Omega cm,
whereas it decreases to 300 \hbar/e\Omega cm when \rho ~ 100 \mu\Omega cm. In
addition, the OHC is still larger than the SHC. The origin of huge SHE and OHE
in Pt is the large ``effective magnetic flux'' that is induced by the
interorbital transition between d_{xy}- and d_{x2-y2}-orbitals with the aid of
the strong spin-orbit interaction.


title:
Area-preserving diffeomorphisms in gauge theory on a non-commutative
  plane: a lattice study

abstract:
  We consider Yang-Mills theory with the U(1) gauge group on a non-commutative
plane. Perturbatively it was observed that the invariance of this theory under
area-preserving diffeomorphisms (APDs) breaks down to a rigid subgroup SL(2,R).
Here we present explicit results for the APD symmetry breaking at finite gauge
coupling and finite non-commutativity. They are based on lattice simulations
and measurements of Wilson loops with the same area but with a variety of
different shapes. Our results are consistent with the expected loss of
invariance under APDs. Moreover, they strongly suggest that non-perturbatively
the SL(2,R) symmetry does not persist either.


title: p-torsion of Genus Two Curves Over Prime Fields of Characteristic p

abstract:
  Consider the Jacobian of a hyperelliptic genus two curve defined over a prime
field of characteristic p and with complex multiplication. In this paper we
show that the p-Sylow subgroup of the Jacobian is either trivial or of order p.


title: High Density QCD Physics with Heavy Ions in CMS

abstract:
  The heavy ion program of the CMS experiment will examine the QCD matter under
extreme conditions, through the study of global observables and specific
probes.


title: Dynamics of wrinkles on a vesicle in external flow

abstract:
  Recent experiments by Kantsler et. al. (2007) have shown that the
relaxational dynamics of a vesicle in external elongation flow is accompanied
by the formation of wrinkles on a membrane. Motivated by these experiments we
present a theory describing the dynamics of a wrinkled membrane. Formation of
wrinkles is related to the dynamical instability induced by negative surface
tension of the membrane. For quasi-spherical vesicles we perform analytical
study of the wrinkle structure dynamics. We derive the expression for the
instability threshold and identify three stages of the dynamics. The scaling
laws for the temporal evolution of wrinkling wavelength and surface tension are
established and confirmed numerically.


title: M2-brane Probe Dynamics and Toric Duality

abstract:
  We study the dynamics of a single M2-brane probing toric Calabi-Yau four-fold
singularity in the context of the recently proposed M-theory crystal model of
AdS4/CFT3 dual pairs. We obtain an effective abelian gauge theory in which the
charges of the matter fields are given by the intersection numbers between
loops and faces in the crystal. We argue that the probe theory captures certain
aspects of the CFT3 even though the true M2-brane CFT is unlikely to be a usual
gauge theory. In particular, the moduli space of vacua of the gauge theory
coincides precisely with the Calabi-Yau singularity. Toric duality, partial
resolution, and a possibility of new RG flows are also discussed.


title:
Compact quantum electrodynamics in 2+1 dimensions and spinon
  deconfinement: a renormalization group analysis

abstract:
  We discuss compact (2+1)-dimensional Maxwell electrodynamics coupled to
fermionic matter with N replica. For large enough N, the latter corresponds to
an effective theory for the nearest neighbor SU(N) Heisenberg antiferromagnet,
in which the fermions represent solitonic excitations known as spinons. Here we
show that the spinons are deconfined for $N>N_c=36$, thus leading to an
insulating state known as spin liquid. A previous analysis considerably
underestimated the value of $N_c$. We show further that for $20<N\leq 36$ there
can be either a confined or a deconfined phase, depending on the instanton
density. For $N\leq 20$ only the confined phase exist. For the physically
relevant value N=2 we argue that no paramagnetic phase can emerge, since chiral
symmetry breaking would disrupt it. In such a case a spin liquid or any other
nontrivial paramagnetic state (for instance, a valence-bond solid) is only
possible if doping or frustrating interactions are included.


title:
Is quantum field theory a genuine quantum theory? Foundational insights
  on particles and strings

abstract:
  Practically measurable quantities resulting from quantum field theory are not
described by hermitian operators, contradicting one of the cornerstone axioms
of orthodox quantum theory. This could be a sign that some of the axioms of
orthodox quantum theory should be reformulated. A non-orthodox reformulation of
quantum theory based on integral curves of particle currents is advocated and
possible measurable manifestations are discussed. The consistency with particle
creation and destruction requires particles to be extended objects, which can
be viewed as a new derivation of string theory. Within this reformulation, an
indirect low-energy test of string theory is also possible.


title: Nearly spherical vesicles in an external flow

abstract:
  Tank-treading, tumbling and trembling are different types of the vesicle
behavior in an external flow. We derive a dynamical equation for nearly
spherical vesicles enabling to establish a phase diagram of the system
predicting the regimes. The diagram is drawn in terms of two dimensionless
parameters depending on the vesicle excess area, fluid viscosities, membrane
viscosity and bending modulus, strength of the flow, and ratio of the
elongational and rotational components of the flow. The tank-treading to
tumbling transition occurs via a saddle-node bifurcation whereas the
tank-treading to trembling transition occurs via a Hopf bifurcation. We
establish a critical slowing near the merging point of the transition lines.


title:
Detection of synchronization from univariate data using wavelet
  transform

abstract:
  A method is proposed for detecting from univariate data the presence of
synchronization of a self-sustained oscillator by external driving with varying
frequency. The method is based on the analysis of difference between the
oscillator instantaneous phases calculated using continuous wavelet transform
at time moments shifted by a certain constant value relative to each other. We
apply our method to a driven asymmetric van der Pol oscillator, experimental
data from a driven electronic oscillator with delayed feedback and human
heartbeat time series. In the latest case, the analysis of the heart rate
variability data reveals synchronous regimes between the respiration and slow
oscillations in blood pressure.


title: Modified Debye-Huckel Electron Shielding and Penetration Factor

abstract:
  Screened potential, modified by non standard electron cloud distributions
responsible for the shielding effect on fusion of reacting nuclei in
astrophysical plasmas, is derived. The case of clouds with depleted tails in
space coordinates is discussed. The modified screened potential is obtained
both from statistical mechanics arguments based on fluctuations of the inverse
of the Debye-Huckel radius and from the solution of a Bernoulli equation used
in generalized statistical mechanics. Plots and tables useful in evaluating
penetration probability at any energy are provided.

categories: astro-ph cond-mat.stat-mech nucl-th physics.plasm-ph


title:
The Hodge Dual Symmetry of the Green-Schwarz Superstring in $AdS_5
  \otimes S^5$

abstract:
  The hidden symmetry and an infinite set non-local conserved currents of the
Green-Schwarz superstring on $AdS_5\otimes S^5$ have been pointed out by Bena
et al. In this paper, we shown that the Hodge dual between the Maurer-Cartan
equation and the equation of motion gives the hidden symmetry in the moduli
space of Green-Schwarz superstring. Thus by twisty transforming the vielbeins,
we can express the currents of the paper$^{\cite{bpr}}$ as the Lax connections
by a unique spectral parameter.


title:
Electrical coherent control of nuclear spins in a breakdown regime of
  quantum Hall effect

abstract:
  Using a conventional Hall-bar geometry with a micro-metal strip on top of the
surface, we demonstrate an electrical coherent control of nuclear spins in an
AlGaAs/GaAs semiconductor heterostructure. A breakdown of integer quantum Hall
(QH) effect is utilized to dynamically polarize nuclear spins. By applying a
pulse rf magnetic field with the metal strip, the quantum state of the nuclear
spins shows Rabi oscillations, which is detected by measuring longitudinal
voltage of the QH conductor.


title:
Simple and accurate analytical model of planar grids and high-impedance
  surfaces comprising metal strips or patches

abstract:
  This paper introduces simple analytical formulas for the grid impedance of
electrically dense arrays of square patches and for the surface impedance of
high-impedance surfaces based on the dense arrays of metal strips or square
patches over ground planes. Emphasis is on the oblique-incidence excitation.
The approach is based on the known analytical models for strip grids combined
with the approximate Babinet principle for planar grids located at a dielectric
interface. Analytical expressions for the surface impedance and reflection
coefficient resulting from our analysis are thoroughly verified by full-wave
simulations and compared with available data in open literature for particular
cases. The results can be used in the design of various antennas and microwave
or millimeter wave devices which use artificial impedance surfaces and
artificial magnetic conductors (reflect-array antennas, tunable phase shifters,
etc.), as well as for the derivation of accurate higher-order impedance
boundary conditions for artificial (high-) impedance surfaces. As an example,
the propagation properties of surface waves along the high-impedance surfaces
are studied.


title: Suggestions on photons and fermions

abstract:
  In this paper we suggest a configuration of photons consistent with a spin
$\hbar$, and a configuration of the fermions coherent with a spin $\hbar/2$.
These suggested configurations open the way to further analyses which lead to
the following conclusions:
  - There cannot exist elementary particles of spin $\hbar/2$ with a mass
inferior to $1m_e$ or with a radius greater than $1l_e$.
  - The electrostatic force derives from the centrifugal forces inherent to the
spin and are propagated by photons.
  - The derivation of the electrostatic force explains the existence of
positive and negative charges and Coulomb's law.
  - The enormous differences between the centrifugal forces and the centripetal
forces at the surface of the protons give rise to quantic fluctuations of space
which generate the energy flows necessary for equilibrium. These energy flows
can explain gravitation and the strong force.
  - The mass of the proton, $m_p$, and the mass of the neutron, $m_n$, must
each have a concrete value required for the cohesion of the atomic nuclei. The
suggested hypoteses show that the relation $m_n/m_p$ must be very slightly
greater than 1.00, and that, by a first approximation, both $m_n$ and $m_p$
must be slightly less than 1851 $m_e$.
  - There are no "gravitons" and no "gluons"; the "messenger particles" are
always the very real photons.


title:
Recoil polarization and beam-recoil double polarization measurement of
  \eta electroproduction on the proton in the region of the S_{11}(1535)
  resonance

abstract:
  The beam-recoil double polarization P_{x'}^h and P_{z'}^h and the recoil
polarization P_{y'} were measured for the first time for the
p(\vec{e},e'\vec{p})\eta reaction at a four-momentum transfer of Q^2=0.1
GeV^2/c^2 and a center of mass production angle of \theta = 120^\circ at MAMI
C. With a center of mass energy range of 1500 MeV < W < 1550 MeV the region of
the S_{11}(1535) and D_{13}(1520) resonance was covered. The results are
discussed in the framework of a phenomenological isobar model (Eta-MAID). While
P_{x'}^h and P_{z'}^h are in good agreement with the model, P_{y'} shows a
significant deviation, consistent with existing photoproduction data on the
polarized-target asymmetry.


title:
Aligned electromagnetic excitations of a black hole and their impact on
  its quantum horizon

abstract:
  We show that elementary aligned electromagnetic excitations of black holes,
as coming from exact Kerr-Schild solutions, represent light-like beam pulses
which have a very strong back reaction on the metric and change the topology of
the horizon.
  Based on York's proposal, that elementary deformations of the BH horizon are
related with elementary vacuum fluctuations, we analyze deformation of the
horizon caused by the beam-like vacuum fluctuations and obtain a very specific
feature of the topological deformations of the horizon. In particular, we show
how the beams pierce the horizon, forming a multitude of micro holes in it. A
conjecture is taken into consideration, that these specific excitations are
connected with the conformal-analytic properties of the Kerr geometry and are
at the base of the emission mechanism.


title: Spreading of a granular droplet

abstract:
  The influence of controlled vibrations on the granular rheology is
investigated in a specifically designed experiment. We study experimentally a
thin granular film spreading under the action of horizontal vibrations. A
nonlinear diffusion equation is derived theoretically that describes the
evolution of the deposit shape. A self-similar parabolic shape (the``granular
droplet'') and a spreading dynamics are predicted that both agree
quantitatively with the experimental results. The theoretical analysis is used
to extract effective dynamic friction coefficients between the base and the
granular layer under sustained and controlled vibrations. We derive an
empirical friction law involving external driving parameters and the layer
height to represent our data.


title: |Vub| from exclusive semileptonic B to pi decays revisited

abstract:
  We update the extraction of |Vub| from exclusive semileptonic B to pi decays,
combining experimental partial branching fraction information with theoretical
form factor calculations, using the recently revised HPQCD results for the form
factors f_+ and f_0. We use Omnes representations to provide the required
parametrisations of the form factors. The extracted value is 10^3 |Vub| =
3.47+/-0.29+/-0.03, in striking agreement with |Vub| extracted using all other
inputs in CKM fits and showing some disagreement with |Vub| extracted from
inclusive semileptonic B to pi decays.


title: k-defects as compactons

abstract:
  We argue that topological compactons (solitons with compact support) may be
quite common objects if $k$-fields, i.e., fields with nonstandard kinetic term,
are considered, by showing that even for models with well-behaved potentials
the unusual kinetic part may lead to a power-like approach to the vacuum, which
is a typical signal for the existence of compactons. The related approximate
scaling symmetry as well as the existence of self-similar solutions are also
discussed. As an example, we discuss domain walls in a potential Skyrme model
with an additional quartic term, which is just the standard quadratic term to
the power two. We show that in the critical case, when the quadratic term is
neglected, we get the so-called quartic $\phi^4$ model, and the corresponding
topological defect becomes a compacton. Similarly, the quartic sine-Gordon
compacton is also derived. Finally, we establish the existence of topological
half-compactons and study their properties.


title: Multidimensional Coded Modulation in Block-Fading Channnels

abstract:
  We study the problem of constructing coded modulation schemes over
multidimensional signal sets in Nakagami-$m$ block-fading channels. In
particular, we consider the optimal diversity reliability exponent of the error
probability when the multidimensional constellation is obtained as the rotation
of classical complex-plane signal constellations. We show that multidimensional
rotations of full dimension achieve the optimal diversity reliability exponent,
also achieved by Gaussian constellations. Multidimensional rotations of full
dimension induce a large decoding complexity, and in some cases it might be
beneficial to use multiple rotations of smaller dimension. We also study the
diversity reliability exponent in this case, which yields the optimal
rate-diversity-complexity tradeoff in block-fading channels with discrete
inputs.


title:
New Generalization of Perturbed Ostrowski Type Inequalities and
  Applications

abstract:
  Generalizations of Ostrowski type inequality for functions of Lipschitzian
type are established. Applications in numerical integration and cumulative
distribution functions are also given.


title: Optical investigations of quantum-dot spin dynamics

abstract:
  We have performed all-optical measurements of spin relaxation in single
self-assembled InAs/GaAs quantum dots (QD) as a function of static external
electric and magnetic fields. To study QD spin dynamics we measure the degree
of resonant absorption which results from a competition between optical spin
pumping induced by the resonant laser field and spin relaxation induced by
reservoirs. Fundamental interactions that determine spin dynamics in QDs are
hyperfine coupling to QD nuclear spin ensembles, spin-phonon coupling and
exchange-type interactions with a nearby Fermi sea of electrons. We show that
the strength of spin relaxation generated by the three fundamental interactions
can be changed by up to five orders of magnitude upon varying the applied
electric and magnetic fields. We find that the strength of optical spin pumping
that we use to study the spin relaxation is determined predominantly by
hyperfine-induced mixing of single-electron spin states at low magnetic fields
and heavy-light hole mixing at high magnetic fields. Our measurements allow us
to determine the rms value of the hyperfine (Overhauser) field to be ~15 mTesla
with an electron g-factor of g_e=0.6 and a hole mixing strength of |epsilon|^2
= 0.0005.


title:
A closer look at using quasar near-zones as a probe of neutral hydrogen
  in the intergalactic medium

abstract:
  We examine a large set of synthetic quasar spectra to realistically assess
the potential of using the relative sizes of highly ionized near-zones in the
Lya and Lyb forest as a probe of the neutral hydrogen content of the
intergalactic medium (IGM) at z>6. The scatter in the relative near-zone size
distribution, induced by underlying fluctuations in the baryonic density field
and the filtering of ionizing radiation, is considerable even for fixed
assumptions about the IGM neutral fraction. As a consequence, the current
observational data cannot distinguish between an IGM which is significantly
neutral or highly ionized just above z=6. Under standard assumptions for quasar
ages and ionizing luminosities, a future sample of several tens of high
resolution Lya and Lyb near-zone spectra should be capable of distinguishing
between a volume weighted neutral hydrogen fraction in the IGM which is greater
or less than 10 per cent.


title:
The spectrum of Schr\"odinger operators and Hodge Laplacians on
  conformally cusp manifolds

abstract:
  We describe the spectrum of the $k$-form Laplacian on conformally cusp
Riemannian manifolds. The essential spectrum is shown to vanish precisely when
the $k$ and $k-1$ de Rham cohomology groups of the boundary vanish. We give
Weyl-type asymptotics for the eigenvalue-counting function in the purely
discrete case. In the other case we analyze the essential spectrum via positive
commutator methods and establish a limiting absorption principle. This implies
the absence of the singular spectrum for a wide class of metrics. We also
exhibit a class of potentials $V$ such that the Schr\"odinger operator has
compact resolvent, although $V$ tends to $-\infty$ in most of the infinity. We
correct a statement from the literature regarding the essential spectrum of the
Laplacian on forms on hyperbolic manifolds of finite volume, and we propose a
conjecture about the existence of such manifolds in dimension four whose cusps
are rational homology spheres.


title: Cubic Derivative Nonlinear Schrodinger has Blowup Solutions

abstract: This paper is painfully withdrawn.


title:
Generalizing Consistency and other Constraint Properties to Quantified
  Constraints

abstract:
  Quantified constraints and Quantified Boolean Formulae are typically much
more difficult to reason with than classical constraints, because quantifier
alternation makes the usual notion of solution inappropriate. As a consequence,
basic properties of Constraint Satisfaction Problems (CSP), such as consistency
or substitutability, are not completely understood in the quantified case.
These properties are important because they are the basis of most of the
reasoning methods used to solve classical (existentially quantified)
constraints, and one would like to benefit from similar reasoning methods in
the resolution of quantified constraints. In this paper, we show that most of
the properties that are used by solvers for CSP can be generalized to
quantified CSP. This requires a re-thinking of a number of basic concepts; in
particular, we propose a notion of outcome that generalizes the classical
notion of solution and on which all definitions are based. We propose a
systematic study of the relations which hold between these properties, as well
as complexity results regarding the decision of these properties. Finally, and
since these problems are typically intractable, we generalize the approach used
in CSP and propose weaker, easier to check notions based on locality, which
allow to detect these properties incompletely but in polynomial time.


title: Radial velocities of five globular clusters obtained with AAOmega

abstract:
  Using the recently commissioned multi-object spectrograph AAOmega on the 3.9m
AAT we have obtained medium-resolution near-infrared spectra for 10,500 stars
in and around five southern globular clusters. The targets were 47 Tuc, M12,
M30, M55 and NGC 288. We have measured radial velocities to +/- 1 km/s with the
cross correlation method and estimated metallicity, effective temperature,
surface gra vity and rotational velocity for each star by fitting synthetic
model spectra. An analysis of the velocity maps and velocity dispersion of
member stars revealed systemic rotation in four of the target clusters.


title: The Robustness of Least-Squares Frequency Switching (LSFS)

abstract:
  Least-squares frequency switching (LSFS) is a new method to reconstruct
signal and gain function (known as bandpass or baseline) from spectral line
observations using the frequency switching method. LSFS utilizes not only two
but a set of three or more local oscillator (LO) frequencies. The
reconstruction is based on a least squares fitting scheme. Here we present a
detailed investigation on the stability of the LSFS method in a statistical
sense and test the robustness against radio frequency interference (RFI),
receiver gain instabilities and continuum sources. It turns out, that the LSFS
method is indeed a very powerful method and is robust against most of these
problems. Nevertheless, LSFS fails in presence of RFI signals or strong line
emission. We present solutions to overcome these limitations using a flagging
mechanism or remapping of measured signals, respectively.


title: New results of intersection numbers on moduli spaces of curves

abstract:
  We present a series of new results we obtained recently about the
intersection numbers of tautological classes on moduli spaces of curves,
including a simple formula of the n-point functions for Witten's $\tau$
classes, an effective recursion formula to compute higher Weil-Petersson
volumes, several new recursion formulae of intersection numbers and our proof
of a conjecture of Itzykson and Zuber concerning denominators of intersection
numbers. We also present Virasoro and KdV properties of generating functions of
general mixed $\kappa$ and $\psi$ intersections.


title:
Terahertz frequency standard based on three-photon coherent population
  trapping

abstract:
  A scheme for a THz frequency standard based on three-photon coherent
population trapping in stored ions is proposed. Assuming the propagation
directions of the three lasers obey the phase matching condition, we show that
stability of few 10$^{-14}$ at one second can be reached with a precision
limited by power broadening to $10^{-11}$ in the less favorable case. The
referenced THz signal can be propagated over long distances, the useful
information being carried by the relative frequency of the three optical
photons.


title:
Experimental Observation of a Topological Phase in the Maximally
  Entangled State of a Pair of Qubits

abstract:
  Quantum mechanical phase factors can be related to dynamical effects or to
the geometrical properties of a trajectory in a given space - either parameter
space or Hilbert space. Here, we experimentally investigate a quantum
mechanical phase factor that reflects the topology of the SO(3) group: since
rotations by $\pi$ around antiparallel axes are identical, this space is doubly
connected. Using pairs of nuclear spins in a maximally entangled state, we
subject one of the spins to a cyclic evolution. If the corresponding trajectory
in SO(3) can be smoothly deformed to a point, the quantum state at the end of
the trajectory is identical to the initial state. For all other trajectories
the quantum state changes sign.


title: ESR of YbRh2Si2 and 174YbRh2Si2 : local and itinerant properties

abstract:
  Below the Kondo temperature the heavy Fermion compound YbRh$_{2}$Si$_{2}$
shows a well defined Electron Spin Resonance (ESR) with local Yb$^{3+}$
properties. We report a detailed analysis of the ESR intensity which gives
information on the number of ESR active centers relative to the ESR of well
localized Yb$^{3+}$ in YPd$_3$:Yb. The ESR lineshape is investigated regarding
contributions from itinerant centers. From the ESR of monoisotopic
$^{174}$YbRh$_{2}$Si$_{2}$ we could exclude unresolved hyperfine contributions
to the lineshape.


title:
Thermal entanglement in a two-qutrit system with nonlinear coupling
  under nonuniform external magnetic field

abstract:
  We study the thermal entanglement of a 2-qutrit spin chain with nonlinear
coupling in the presence of nonuniform magnetic field. Thermal entanglement of
an arbitrary (finite dimensional) m-partite system vanishes at some finite
threshold temperature T_s. We investigate the dependence of T_s on the system's
parameters, i.e. the nonlinear coupling and the magnetic field, for this
2-qutrit system. In addition, we compare two lower bounds of I-concurrence for
this system and also study its dense coding capacity as a function of system's
parameters.


title: A note on the spin-1/2 XXZ chain concerning its relation to the Bose gas

abstract:
  By considering the one-particle and two-particle scattering data of the
spin-1/2 Heisenberg chain at T=0 we derive a continuum limit relating the spin
chain to the 1D Bose gas. Applying this limit to the quantum transfer matrix
approach of the Heisenberg chain we obtain expressions for the correlation
functions of the Bose gas at arbitrary temperatures.

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


title: Large Scale Properties of the IIIC for 2D Percolation

abstract:
  We reinvestigate the 2D problem of the inhomogeneous incipient infinite
cluster where, in an independent percolation model, the density decays to p_c
with an inverse power, \lambda, of the distance to the origin. Assuming the
existence of critical exponents (as is known in the case of the triangular site
lattice) if the power is less than 1/\nu, with \nu the correlation length
exponent, we demonstrate an infinite cluster with scale dimension given by
D_H=2-\beta\lambda. Further, we investigate the critical case \lambda_c=1/\nu
and show that iterated logarithmic corrections will tip the balance between the
possibility and impossibility of an infinite cluster.


title: Conditionnal squeezing of an atomic alignement

abstract:
  We investigate the possibility to perform a Quantum Non Demolition
measurement of the collective alignment of an atomic ensemble in the case of a
$F\geq 1$ spin. We compare the case of purely vectorial and purely tensorial
Hamiltonians and show how to achieve conditional squeezing or entanglement of
atomic alignment components.


title:
(Anti)symmetric multivariate exponential functions and corresponding
  Fourier transforms

abstract:
  We define and study symmetrized and antisymmetrized multivariate exponential
functions. They are defined as determinants and antideterminants of matrices
whose entries are exponential functions of one variable. These functions are
eigenfunctions of the Laplace operator on corresponding fundamental domains
satisfying certain boundary conditions. To symmetric and antisymmetric
multivariate exponential functions there correspond Fourier transforms. There
are three types of such Fourier transforms: expansions into corresponding
Fourier series, integral Fourier transforms, and multivariate finite Fourier
transforms. Eigenfunctions of the integral Fourier transforms are found.


title: On PAC Extensions and Scaled Trace Forms

abstract:
  Any non-degenerate quadratic form over a Hilbertian field (e.g., a number
field) is isomorphic to a scaled trace form. In this work we extend this result
to more general fields. In particular, prosolvable and prime-to-p extensions of
a Hilbertian field. The proofs are based on the theory of PAC extensions.