title: Abundance analysis of seven delta Scuti Stars

abstract:
  The current knowledge of the abundance pattern in delta Scuti stars is based
on the analysis of just a few field stars. We aim to determine the general
chemical properties of the atmospheres of delta Scuti stars based on a
statistically relevant sample of stars and will investigate whether the
abundance pattern is close to solar, an assumption generally made for pulsation
models. We have analysed high-resolution, high signal-to-noise ratio spectra of
seven field delta Scuti stars. We derived the fundamental parameters and the
photospheric abundances and compared them to a similar sample of cluster delta
Scuti stars. With the use of a t-test we demonstrated that there is no
difference between the two samples, which allows us to merge them, resulting in
a sample of fifteen delta Scuti stars. We did not find any substantial
difference between the abundance pattern of our sample of delta Scuti stars and
a sample of normal early A- and late F-type stars. One field star in our
sample, HD 124953, is most likely a pulsating Am star.


title:
Spin-phonon coupling, q-dependence of spin excitations and high-T$_C$
  superconductivity from band models

abstract:
  An understanding of spin excitations in cuprates is essential since the
mechanism of high-T$_C$ superconductivity might be linked to spin fluctuations.
Band calculations for long "1-dimensional" unit cells of La$_2$CuO$_4$ show
that the coupling between antiferromagnetic spin waves and phonons is larger
for distortions of oxygens than for Cu or La. When this result is applied to a
2-dimensional, free-electron like band, it leads to a q-dependent spin
excitation spectrum in good agreement with recent experiments. It is argued
that important parameters for spin-phonon coupling, which comes out from the
comparison between experiment and theory, are relevant for the mechanism of
superconductivity, and are large enough to explain a high T$_C$.


title:
Enumeration of ad-nilpotent ideals of parabolic subalgebras for
  exceptional types

abstract:
  Using GAP4, we determine the number of ad-nilpotent and abelian ideals of a
parabolic subalgebra of a simple Lie algebra of exceptional types E, F or G.


title: Galois objects and cocycle twisting for locally compact quantum groups

abstract:
  In this article, we investigate the notion of a Galois object for a locally
compact quantum group M. Such an object consists of a von Neumann algebra N
equipped with an ergodic integrable coaction of M on N, such that the crossed
product is a type I factor. We show how to construct from such a coaction a new
locally compact quantum group P, which we call the reflection of M along N. By
way of application, we prove the following statement: any twisting of a locally
compact quantum group by a unitary 2-cocycle is again a locally compact quantum
group.


title:
On the Coulomb-dipole transition in mesoscopic classical and quantum
  electron-hole bilayers

abstract:
  We study the Coulomb-to-dipole transition which occurs when the separation
$d$ of an electron-hole bilayer system is varied with respect to the
characteristic in-layer distances. An analysis of the classical ground state
configurations for harmonically confined clusters with $N\leq30$ reveals that
the energetically most favorable state can differ from that of two-dimensional
pure dipole or Coulomb systems. Performing a normal mode analysis for the N=19
cluster it is found that the lowest mode frequencies exhibit drastic changes
when $d$ is varied. Furthermore, we present quantum-mechanical ground states
for N=6, 10 and 12 spin-polarized electrons and holes. We compute the
single-particle energies and orbitals in self-consistent Hartree-Fock
approximation over a broad range of layer separations and coupling strengths
between the limits of the ideal Fermi gas and the Wigner crystal.


title:
The Origination and Diagnostics of Uncaptured Beam in the Tevatron and
  Its Control by Electron Lenses

abstract:
  In the Collider Run II, the Tevatron operates with 36 high intensity bunches
of 980 GeV protons and antiprotons. Particles not captured by the Tevatron RF
system pose a threat to quench the superconducting magnet during acceleration
or at beam abort. We describe the main mechanisms for the origination of this
uncaptured beam, and present measurements of its main parameters by means of a
newly developed diagnostics system. The Tevatron Electron Lens is effectively
used in the Collider Run II operation to remove uncaptured beam and keep its
intensity in the abort gaps at a safe level.


title: Angular dependences in inclusive two-hadron production at BELLE

abstract:
  A collection of results is presented relevant for the analysis of azimuthal
asymmetries in inclusive two-hadron production at BELLE. The aim of this
overview is to provide theoretical ingredients necessary to extract the Collins
effect fragmentation function. The latter arises within the Collins-Soper
factorization formalism, which describes both the transverse momentum and Q^2
dependence of the cross section and its angular dependences at low and moderate
transverse momentum. Since the Collins effect is not the only source of angular
dependences, a discussion of various other effects is included. This concerns
higher twist contributions, photon-Z-boson interference effects, radiative
corrections, beam polarization and weak decays. Furthermore, different frames,
transverse momentum weighting and ratios of asymmetries are discussed. These
issues are all of relevance for the unambiguous measurement of the Collins
effect.


title:
Boundary multifractality at the integer quantum Hall plateau transition:
  implications for the critical theory

abstract:
  We study multifractal spectra of critical wave functions at the integer
quantum Hall plateau transition using the Chalker-Coddington network model. Our
numerical results provide important new constraints which any critical theory
for the transition will have to satisfy. We find a non-parabolic multifractal
spectrum and we further determine the ratio of boundary to bulk multifractal
exponents. Our results rule out an exactly parabolic spectrum that has been the
centerpiece in a number of proposals for critical field theories of the
transition. In addition, we demonstrate analytically exact parabolicity of
related boundary spectra in the 2D chiral orthogonal `Gade-Wegner' symmetry
class.


title:
Ab initio determination of polarizabilities and van der Waals
  coefficients of Li atoms using the relativistic CCSD(T) method

abstract:
  We report a new technique to determine the van der Waals coeffcients of
lithium (Li) atoms based on the relativistic coupled-cluster theory. These
quantities are determined using the imaginary parts of the scalar dipole and
quadrupole polarizabilities, which are evaluated using the approach that we
have proposed in [1]. Our procedure is fully ab initio, and avoids the
sum-over-the-states method. We present the dipole and quadrupole
polarizabilities of many of the low-lying excited states of Li. Also, the
off-diagonal dipole and quadrupole polarizabilites between some of the
low-lying states of Li are calculated.


title:
An asymptotic model for the Kelvin-Helmholtz and Miles mechanisms of
  water wave generation by wind

abstract:
  The generalized Kelvin-Helmholtz (KH) and Miles mechanisms of the water wave
generation by wind are investigated for two-layer piece-wise linear model of
the wind profile. It is shown by asymptotic expansions in small air-to-water
density ratio that two mechanisms of the instability operate in quite different
scales. Miles' short waves are generated by weak winds, in particular, Miles'
regime is responsible for initiation of the instability at the minimum wind
speed, while the generalized KH regime dominates at strong winds and raises
moderately-short waves.


title: Universal optimal transmission of light through disordered materials

abstract:
  We experimentally demonstrate increased transmission of light through
strongly scattering materials. Wavefront shaping is used to selectively couple
light to the open transport channels in the material, resulting in an increase
of up to 44% in the total transmission. The results for each of several
hundreds of experimental runs are in excellent quantitative agreement with
random matrix theory. Extrapolating our measurements to the limit of perfect
wavefront shaping, we find a universal transmission of 2/3, regardless of the
thickness of the sample.


title: Bayesian Inference on Mixtures of Distributions

abstract:
  This survey covers state-of-the-art Bayesian techniques for the estimation of
mixtures. It complements the earlier Marin, Mengersen and Robert (2005) by
studying new types of distributions, the multinomial, latent class and t
distributions. It also exhibits closed form solutions for Bayesian inference in
some discrete setups. Lastly, it sheds a new light on the computation of Bayes
factors via the approximation of Chib (1995).


title: Approximating the marginal likelihood in mixture models

abstract:
  In Chib (1995), a method for approximating marginal densities in a Bayesian
setting is proposed, with one proeminent application being the estimation of
the number of components in a normal mixture. As pointed out in Neal (1999) and
Fruhwirth-Schnatter (2004), the approximation often fails short of providing a
proper approximation to the true marginal densities because of the well-known
label switching problem (Celeux et al., 2000). While there exist other
alternatives to the derivation of approximate marginal densities, we reconsider
the original proposal here and show as in Berkhof et al. (2003) and Lee et al.
(2008) that it truly approximates the marginal densities once the label
switching issue has been solved.


title: Around the Gysin triangle I

abstract:
  We define and study Gysin morphisms on mixed motives over a perfect field.
Our construction extends the case of closed immersions, already known from
results of Voevodsky, to arbitrary projective morphisms. We prove several
classical formulas in this context, such as the projection and excess
intersection formulas, and some more original ones involving residues. Finally,
we give an application of this construction to duality and motive with compact
support.


title: Interface-driven magnetocapacitance in a broad range of materials

abstract:
  Triggered by the revival of multiferroic materials, a lot of effort is
presently undergoing as to find a coupling between a capacitance and a magnetic
field. We show in this report that interfaces are the right way of increasing
such a coupling provided free charges are localized on these two-dimensional
defects. Starting from commercial diodes at room temperature and going to grain
boundaries in giant permittivity materials and to ferroelectric domain walls, a
clear magnetocapacitance is reported which is all the time more than a few
percent for a magnetic field of 90kOe. The only tuning parameter for such
strong coupling to arise is the dielectric relaxation time which is reached on
tuning the operating frequency and the temperature in many different materials.


title:
Energy spectra for protons emitted in the reaction Ca-nat(n, xp) at 94
  MeV

abstract:
  The MEDLEY setup based at The Svedberg Laboratory (TSL), Uppsala, Sweden has
previously been used to measure double-differential cross-sections for elastic
nd scattering, as well as light ion production reactions for various nuclei in
the interaction with neutrons around 95 MeV. When moved to the new beam line,
the first experimental campaign was on light-ion production from Ca at 94 MeV
in February 2005.
  These data sets have been analyzed for proton production in forward and
backward angles. The Delta E - Delta E - E technique have been used to identify
protons, and a cutoff as low as 2.5 MeV is achieved. Suppression of events
induced by neutrons in the low-energy tail of the neutron field is achieved by
time-of-flight techniques. The data are normalized relative to elastic np
scattering measured in the 20-degree telescope. Results from an accepted
neutron spectrum are presented and some methods to correct for events from low
energy neutrons are presented and evaluated. The data are compared with
calculations using the nuclear code TALYS. It was found that TALYS
systematically overestimates the compound part, and underestimates the
pre-equilibrium part of the cross-section.


title:
Electron-spin beat susceptibility of excitons in semiconductor quantum
  wells

abstract:
  Recent time-resolved differential transmission and Faraday rotation
measurements of long-lived electron spin coherence in quantum wells displayed
intriguing parametric dependencies. For their understanding we formulate a
microscopic theory of the optical response of a gas of optically incoherent
excitons whose constituent electrons retain spin coherence, under a weak
magnetic field applied in the quantum well's plane. We define a spin beat
susceptibility and evaluate it in linear order of the exciton density. Our
results explain the many-body physics underlying the basic features observed in
the experimental measurements.


title: Matrix kernels for measures on partitions

abstract:
  We consider the problem of computation of the correlation functions for the
z-measures with the deformation (Jack) parameters 2 or 1/2. Such measures on
partitions are originated from the representation theory of the infinite
symmetric group, and in many ways are similar to the ensembles of Random Matrix
Theory of $\beta=4$ or $\beta=1$ symmetry types. For a certain class of such
measures we show that correlation functions can be represented as Pfaffians
including $2\times 2$ matrix valued kernels, and compute these kernels
explicitly. We also give contour integral representations for correlation
kernels of closely connected measures on partitions.


title:
Extension of bounded root functionals of a system of polynomial
  equations

abstract:
  The notion of a root functional of a system of polynomials or ideal of
polynomials is a generalization of the notion of a root, in particular, for a
multiple root. A root functional is a linear functional that is defined on a
polynomial ring and annuls the ideal of polynomials. A bounded root functional
is a functional that annuls d-th component of the ideal in some filtration in
this ideal. The paper consider bounded root functionals and their extension
operation for a system of polynomial equation at which the number of equations
is equal to the number of unknows. The extension operation has connection with
the multivariate Bezoutian construction.


title:
A 610-MHz survey of the Lockman Hole with the Giant Metrewave Radio
  Telescope - I. Observations, data reduction and source catalogue for the
  central 5 square degrees

abstract:
  We present observations of the Lockman Hole with the Giant Metrewave Radio
Telescope (GMRT). Twelve pointings were observed, covering a total area of ~
five square degrees with a resolution of 6 x 5 arcsec, position angle +45deg.
The majority of the pointings have an rms noise of 60 microJy/beam before
correction for the attenuation of the GMRT primary beam. Techniques used for
data reduction and production of a mosaicked image of the region are described,
and the final mosaic is presented, along with a catalogue of 2845 sources
detected above 6 sigma. Radio source counts are calculated at 610 MHz and
combined with existing 1.4-GHz source counts, in order to show that pure
luminosity evolution of the local radio luminosity functions for active
galactic nuclei and starburst galaxies is sufficient to account for the two
source counts simultaneously.


title:
Observation of B->etarho+ and search for B0 Decays to eta'eta, etapi0,
  eta'pi0, and omegapi0

abstract:
  We present measurements of branching fractions for five B-meson decays to
two-body charmless final states. The data, collected with the BABAR detector at
the Stanford Linear Accelerator Center, represent 459 million BBbar pairs. The
results for branching fractions are, in units of 10^{-6} (upper limits at 90%
C.L.): BR(B+ -> etarho+) = 9.9 +/- 1.2 +/- 0.8, BR(B0 -> eta'eta) = 0.5 +/- 0.4
+/- 0.1 (<1.2), BR(B0 -> etapi0) = 0.9 +/- 0.4 +/- 0.1 (<1.5), BR(B0 ->
eta'pi0) = 0.9 +/- 0.4 +/- 0.1 (<1.5), and BR(B0 -> omegapi0) = 0.07 +/- 0.26
+/- 0.02 (<0.5). The first error quoted is statistical and the second
systematic. For the etarho+ mode, we measure the charge asymmetry Ach(B+ ->
etarho+) = 0.13 +/- 0.11 +/- 0.02.


title: Quark Soup al dente: Applied Superstring Theory

abstract:
  We discuss the application of the AdS/CFT correspondence to possibly gain new
physical insights for the strongly coupled quark-gluon plasma. This article
provides an informal summary of a talk given by RCM at the 18th International
Conference on General Relativity and Gravitation in July 2007.


title: Distribution Amplitudes of the Lambda_b Baryon in QCD

abstract:
  The QCD description of exclusive decays of the $\Lambda_b$ baryon involves
hadronic matrix elements of non-local light ray operators, the light-cone
distribution amplitudes. We introduce the complete set of three--quark
distribution amplitudes and calculate the renormalization scale dependence for
the leading twist. At leading order in the strong coupling the evolution is
driven by pairwise two--quark interactions: heavy--light involving Sudakov
logarithms as in the B-meson case, and light--light as in light mesons. We
solve the evolution equation and show that its main effect is to generate a
radiative tail extending to high energies. Finally, we present simple models
for the distribution amplitudes based on QCD sum rules, and study the effect of
the evolution on these models.


title:
Spatiotemporal correlations in entangled photons generated by
  spontaneous parametric down conversion

abstract:
  In most configurations aimed at generating entangled photons based on
spontaneous parametric down conversion (SPDC), the generated pairs of photons
are required to be entangled in only one degree of freedom. Any distinguishing
information coming from the other degrees of freedom that characterize the
photon should be suppressed to avoid correlations with the degree of freedom of
interest. However, this suppression is not always possible. Here, we show how
the frequency information available affects the purity of the two-photon state
in space, revealing a correlation between the frequency and the space degrees
of freedom. This correlation should be taken into account to calculate the
total amount of entanglement between the photons.


title: Quantum catalysis of information

abstract:
  Heisenberg's uncertainty principle and recently derived many no-go theorems
including the no-cloning theorem and the no-deleting theorem have corroborated
the idea that we can never access quantum information without causing
disturbance. Here we disprove this presumption by predicting a novel
phenomenon, `quantum catalysis of information,' where a system enables an
otherwise impossible task by exchanging information through a quantum
communication channel. This fact implies that making use of quantum information
does not always cause disturbance.


title: General formulation of transverse hydrodynamics

abstract:
  General formulation of hydrodynamics describing transversally thermalized
matter created at the early stages of ultra-relativistic heavy-ion collisions
is presented. Similarities and differences with the standard
three-dimensionally thermalized relativistic hydrodynamics are discussed. The
role of the conservation laws as well as the thermodynamic consistency of
two-dimensional thermodynamic variables characterizing transversally
thermalized matter is emphasized.


title: Quantum Effects in Higgs-Boson Production Processes at Hadron Colliders

abstract:
  The search for Higgs bosons and extensions of the Standard Model of
Elementary Particle Physics are main tasks of the Large Hadron Collider (LHC)
at CERN which will start operation mid-2008. In this thesis processes which can
be used to detect supersymmetric Higgs bosons at the LHC were considered. First
a computer program was written which completes the toolbox for automatic
calculations of hadronic cross sections. Using this program, the supersymmetric
QCD corrections to associated H-W+-production and h0-production via
vector-boson fusion and in association with heavy quarks were calculated. The
corrections partly give significant contributions to the total cross section.
Additionally, the possibility to measure the quartic Higgs self-coupling via
triple-Higgs production was investigated and found to be challenging.


title: Universal Quantum Circuits

abstract:
  We define and construct efficient depth-universal and almost-size-universal
quantum circuits. Such circuits can be viewed as general-purpose simulators for
central classes of quantum circuits and can be used to capture the
computational power of the circuit class being simulated. For depth we
construct universal circuits whose depth is the same order as the circuits
being simulated. For size, there is a log factor blow-up in the universal
circuits constructed here. We prove that this construction is nearly optimal.


title: Cracked rotor vibrations by multifractal analysis

abstract:
  Multifractal analysis has been used to diagnoze cracked and healthy rotors.
Is has been shown that the complexity and regularity criteria of the dynamical
systems defined by the multiple scaling of the time series can indicate the
damages of the rotating shaft.


title:
Time evolution of 1D gapless models from a domain-wall initial state:
  SLE continued?

abstract:
  We study the time evolution of quantum one-dimensional gapless systems
evolving from initial states with a domain-wall. We generalize the
path-integral imaginary time approach that together with boundary conformal
field theory allows to derive the time and space dependence of general
correlation functions. The latter are explicitly obtained for the Ising
universality class, and the typical behavior of one- and two-point functions is
derived for the general case. Possible connections with the stochastic Loewner
evolution are discussed and explicit results for one-point time dependent
averages are obtained for generic \kappa for boundary conditions corresponding
to SLE. We use this set of results to predict the time evolution of the
entanglement entropy and obtain the universal constant shift due to the
presence of a domain wall in the initial state.


title: Virtually fibred Montesinos links of type $\widetilde{SL_2}$

abstract:
  We find a larger class of virtually fibred classic Montesinos links of type
$\widetilde{SL_2}$, extending a result of Agol, Boyer and Zhang.


title: Intermittent behaviour of a Cracked Rotor in the resonance region

abstract:
  Vibrations of the Jeffcott rotor are modelled by a three degree of freedom
system including coupling between lateral and torsional modes. The crack in a
rotating shaft of the rotor is introduced via time dependent stiffness with off
diagonal couplings. Applying the external torque to the system allows to
observe the effect of crack "breathing" and gain insight into the system. It is
manifested in the complex dynamic behaviour of the rotor in the region of
internal resonance, showing a quasi--periodic motion or even non-periodic
behaviour. In the present paper report, we show the system response to the
external torque excitation using nonlinear analysis tools such as bifurcation
diagram, phase portraits, Poincare maps and wavelet power spectrum. In the
region of resonance we study intermittent motions based on laminar phases
interrupted by a series nonlinear beats.


title: State estimation in quantum homodyne tomography with noisy data

abstract:
  In the framework of noisy quantum homodyne tomography with efficiency
parameter $0 < \eta \leq 1$, we propose two estimators of a quantum state whose
density matrix elements $\rho_{m,n}$ decrease like $e^{-B(m+n)^{r/ 2}}$, for
fixed known $B>0$ and $0<r\leq 2$. The first procedure estimates the matrix
coefficients by a projection method on the pattern functions (that we introduce
here for $0<\eta \leq 1/2$), the second procedure is a kernel estimator of the
associated Wigner function. We compute the convergence rates of these
estimators, in $\mathbb{L}_2$ risk.


title: On the Expressiveness and Complexity of ATL

abstract:
  ATL is a temporal logic geared towards the specification and verification of
properties in multi-agents systems. It allows to reason on the existence of
strategies for coalitions of agents in order to enforce a given property. In
this paper, we first precisely characterize the complexity of ATL
model-checking over Alternating Transition Systems and Concurrent Game
Structures when the number of agents is not fixed. We prove that it is
\Delta^P_2 - and \Delta^P_?_3-complete, depending on the underlying multi-agent
model (ATS and CGS resp.). We also consider the same problems for some
extensions of ATL. We then consider expressiveness issues. We show how ATS and
CGS are related and provide translations between these models w.r.t.
alternating bisimulation. We also prove that the standard definition of ATL
(built on modalities "Next", "Always" and "Until") cannot express the duals of
its modalities: it is necessary to explicitely add the modality "Release".


title:
Binary central stars of PN discovered through photometric variability.
  I. What we know and what we would like to find out

abstract:
  Shaping axi-symmetric planetary nebulae is easier if a companion interacts
with a primary at the top of the asymptotic giant branch. To determine the
impact of binarity on planetary nebula formation and shaping, we need to
determine the central star of planetary nebula binary fraction and period
distribution. The short-period binary fraction has been known to be 10-15% from
a survey of ~100 central stars for photometric variability indicative of
irradiation effects, ellipsoidal variability or eclipses. This survey technique
is known to be biased against binaries with long periods and this fact is used
to explain why the periods of all the binaries discovered by this survey are
smaller than 3 days. In this paper we assess the status of knowledge of binary
central stars discovered because of irradiation effects. We determine that, for
average parameters, this technique should be biased against periods longer than
1-2 weeks, so it is surprising that no binaries were found with periods longer
than 3 days. Even more puzzling is the fact that 9 out of 12 of the irradiated
binaries, have periods smaller than one day, a fact that is starkly at odds
with post-common envelope predictions. We suggest that either all common
envelope models tend to overestimate post-common envelope periods or that this
binary survey might have suffered from additional, unquantified biases. If the
latter hypothesis is true, the currently-known short-period binary fraction is
put in serious doubt. We also introduce a new survey for binary-related
variability, which will enable us to better quantify biases and determine an
independent value for the short period binary fraction.


title: The study of topology of the universe using multipole vectors

abstract:
  We study a multipole vector-based decomposition of cosmic microwave
background (CMB) data in order to search for signatures of a multiconnected
topology of the universe. Using 10^6 simulated maps, we analyse the multipole
vector distribution on the sky for the lowest order multipoles together with
the probability distribution function of statistics based on the sum of the dot
products of the multipole vectors for both the simply-connected flat universe
and universes with the topology of a 3-torus. The estimated probabilities of
obtaining lower values for these statistics as compared to the 5-year WMAP data
indicate that the observed alignment of the quadrupole and octopole is
statistically favoured in a 3-torus topology where at least one dimension of
the fundamental domain is significantly shorter than the diameter of the
observable universe, as compared to the usual standard simply-connected
universe. However, none of the obtained results are able to clearly rule out
the latter (at more than 97% confidence level). Multipole vector statistics do
not appear to be very sensitive to the signatures of a 3-torus topology if the
shorter dimension of the domain becomes comparable to the diameter of the
observable universe. Unfortunately, the signatures are also significantly
diluted by the integrated Sachs-Wolfe effect.


title: Anisotropy and Morphology of Strained III-V Heteroepitaxial Films

abstract:
  Strained coherent heteroepitaxy of III-V semiconductor films such as
In$_x$Ga$_{1-x}$As/GaAs has potential for electronic and optoelectronic
applications such as high density logic, quantum computing architectures, laser
diodes, and other optoelectronic devices. Crystal symmetry can have a large
effect on the morphology of these films and their spatial order. Often the
formation of group IV strained heterostructures such as Ge deposited on Si is
analyzed using analytic models based on the Asaro-Tiller-Grinfeld instability.
However, the governing dynamics of III-V 3D heterostructure formation has
different symmetry and is more anisotropic. The additional anisotropy appears
in both the surface energy and the diffusivity. Here, the resulting anisotropic
governing dynamics are studied to linear order. The resulting possible film
morphologies are compared with experimentally observed In$_x$Ga$_{1-x}$As/GaAs
films. Notably it is found that surface-energy anisotropy plays a role at least
as important as surface diffusion anisotropy if not more so, in contrast to
previous suppositions.


title: Normal modes analysis of the microscopic dynamics in hard discs

abstract:
  We estimate numerically the normal modes of the free energy in a glass of
hard discs. We observe that, near the glass transition or after a rapid quench
deep in the glass phase, the density of states (i) is characteristic of a
marginally stable structure, in particular it di splays a frequency scale
$\omega^*\sim p^{1/2}$, where $p$ is the pressure and (ii) gives a faithful
representation of the short-time dyn amics. This brings further evidences that
the boson peak near the glass transition corresponds to the relaxation of
marginal modes of a we akly-coordinated structure, and implies that the mean
square displacement in the glass phase is anomalously large and goes as $<
\delta R^2 > \sim p^{-3/2}$, a prediction that we check numerically.


title:
Revising the Local Bubble Model due to Solar Wind Charge Exchange X-ray
  Emission

abstract:
  The hot Local Bubble surrounding the solar neighborhood has been primarily
studied through observations of its soft X-ray emission. The measurements were
obtained by attributing all of the observed local soft X-rays to the bubble.
However, mounting evidence shows that the heliosphere also produces diffuse
X-rays. The source is solar wind ions that have received an electron from
another atom. The presence of this alternate explanation for locally produced
diffuse X-rays calls into question the existence and character of the Local
Bubble. This article addresses these questions. It reviews the literature on
solar wind charge exchange (SWCX) X-ray production, finding that SWCX accounts
for roughly half of the observed local 1/4 keV X-rays found at low latitudes.
This article also makes predictions for the heliospheric O VI column density
and intensity, finding them to be smaller than the observational error bars.
Evidence for the continued belief that the Local Bubble contains hot gas
includes the remaining local 1/4 keV intensity, the observed local O VI column
density, and the need to fill the local region with some sort of plasma. If the
true Local Bubble is half as bright as previously thought, then its electron
density and thermal pressure are 1/square-root(2) as great as previously
thought, and its energy requirements and emission measure are 1/2 as great as
previously thought. These adjustments can be accommodated easily, and, in fact,
bring the Local Bubble's pressure more in line with that of the adjacent
material. Suggestions for future work are made.


title: Topological identification in networks of dynamical systems

abstract:
  The paper deals with the problem of reconstructing the topological structure
of a network of dynamical systems. A distance function is defined in order to
evaluate the "closeness" of two processes and a few useful mathematical
properties are derived. Theoretical results to guarantee the correctness of the
identification procedure for networked linear systems with tree topology are
provided as well. Finally, the application of the techniques to the analysis of
an actual complex network, i.e. to high frequency time series of the stock
market, is illustrated.


title: Scaling and allometry in the building geometries of Greater London

abstract:
  Many aggregate distributions of urban activities such as city sizes reveal
scaling but hardly any work exists on the properties of spatial distributions
within individual cities, notwithstanding considerable knowledge about their
fractal structure. We redress this here by examining scaling relationships in a
world city using data on the geometric properties of individual buildings. We
first summarise how power laws can be used to approximate the size
distributions of buildings, in analogy to city-size distributions which have
been widely studied as rank-size and lognormal distributions following Zipf and
Gibrat. We then extend this analysis to allometric relationships between
buildings in terms of their different geometric size properties. We present
some preliminary analysis of building heights from the Emporis database which
suggests very strong scaling in world cities. The data base for Greater London
is then introduced from which we extract 3.6 million buildings whose scaling
properties we explore. We examine key allometric relationships between these
different properties illustrating how building shape changes according to size,
and we extend this analysis to the classification of buildings according to
land use types. We conclude with an analysis of two-point correlation functions
of building geometries which supports our non-spatial analysis of scaling.


title: The fundamental scales of structures from first principles

abstract:
  Five fundamental scales of mass follow from holographic limitations, a
self-similar law for angular momentum and the basic scaling laws for a fractal
universe with dimension 2. The five scales correspond to the observable
universe, clusters, galaxies, stars and the nucleon. The fundamental scales
form naturally a self-similar hierarchy, generating new relationships among the
parameters of the nucleon,the cosmological constant and the Planck scale. There
is implied a sixth fundamental scale thatcorresponds to the electrostatic force
within an atom. Identifying the implied scale as such leads to new
relationships among the fundamental charge, the mass of the electron and
cosmological parameters. Theseconsiderations also suggest that structures on
the scale of galaxies and larger must be bound by non-Newtonian forces.


title: Report from Sessions 1 and 3, including the Local Bubble Debate

abstract:
  This report summarizes the discussions in the Session 1 and Session 3 groups
which met to discuss the questions: ``What Physical Processes Drive the
Multiphase Interstellar Medium in the Local Bubble?'', and ``What are the
Energy and Pressure Balances in the Local Bubble?'' Most of our understanding
of the Local Bubble has come from soft X-ray observations, but recent
appreciation of the importance of solar wind charge exchange (SWCX) reactions
has shown that the heliosphere produces some fraction of the soft X-rays that
were previously ascribed to the Local Bubble. Some astronomers suggest that the
SWCX X-rays rather than Local Bubble emission could explain most of the locally
produced X-rays. Our discussions, therefore, also included a debate concerning
the Local Bubble's existence.


title: Dynamics of Density Imbalanced Bilayer Holes in the Quantum Hall Regime

abstract:
  We report magnetotransport measurements on bilayer GaAs hole systems with
unequal hole concentrations in the two layers. At magnetic fields where one
layer is in the integer quantum Hall state and the other has bulk extended
states at the Fermi energy, the longitudinal and Hall resistances of the latter
are hysteretic, in agreement with previous measurements. For a fixed magnetic
field inside this region and at low temperatures ($T\le$ 350 mK), the time
evolutions of the longitudinal and Hall resistances show pronounced jumps
followed by slow relaxations, with no end to the sequence of jumps. Our
measurements demonstrate that the jumps occur simultaneously in pairs of
contacts 170 $\mu$m apart, and appear to involve changes in the charge
configuration of the bilayer. In addition, the jumps can occur with either
random or regular periods, excluding thermal fluctuations as a possible origin
for the jumps. Finally, while remaining at a fixed field, we warm the sample to
above 350 mK, where the jumps disappear. Upon recooling the sample below this
temperature, the jumps reappear, indicating that the jumps do not result from
nearly dissipationless eddy currents either.


title: Method of Forming Stable States of Dense High-Temperfature Plasma

abstract:
  Technology for forming stable states of dense high temperature plasma, which
can be used, for example, for controlled thermo-nuclear synthesis.


title: Ultrasmall volume Plasmons - yet with complete retardation effects

abstract:
  Nano particle-plasmons are attributed to quasi-static oscillation with no
wave propagation due to their subwavelength size. However, when located within
a band-gap medium (even in air if the particle is small enough), the particle
interfaces are acting as wave-mirrors, incurring small negative retardation.
The latter when compensated by a respective (short) propagation within the
particle substantiates a full-fledged resonator based on constructive
interference. This unusual wave interference in the deep subwavelength regime
(modal-volume<0.001lambda^3) significantly enhances the Q-factor, e.g. 50
compared to the quasi-static limit of 5.5.


title: Fashionably Late? Building up the Milky Way's Inner Halo

abstract:
  Using a sample of 248 metal-poor stars (RR Lyraes, red giants and RHB stars)
which is remarkable for the accuracy of its 6-D kinematical data, we find a new
component for the local halo which has an axial ratio c/a ~ 0.2, a similar
flattening to the thick disk. It has a small prograde rotation but is supported
by velocity anisotropy, and contains more intermediate-metallicity stars (with
-1.5 < [Fe/H] < -1.0) than the rest of our sample. We suggest that this
component was formed quite late, during or after the formation of the disk. It
formed either from the gas that was accreted by the last major mergers
experienced by the Galaxy, or by dynamical friction of massive infalling
satellite(s) with the halo and possibly the stellar disk or thick disk. The
remainder of the stars in our sample exhibit a clumpy distribution in energy
and angular momentum, suggesting that the early, chaotic conditions under which
the inner halo formed were not violent enough to erase the record of their
origins. The clumpy structure suggests that a relatively small number of
progenitors were responsible for building up the inner halo, in line with
theoretical expectations. We find a difference in mean binding energy between
the RR Lyrae variables and the red giants in our sample, suggesting that more
of the RR Lyraes in the sample belong to the outer halo, and that the outer
halo may be somewhat younger, as first suggested by Searle and Zinn (1978). We
also find that the RR Lyrae mean rotation is more negative than the red giants,
which is consistent with the recent result of Carollo et al.(2007) that the
outer halo has a retrograde rotation and with the difference in kinematics seen
between RR Lyraes and BHB stars by Kinman et al.(2007).


title:
The Goldbeter-Koshland switch in the first-order region and its response
  to dynamic disorder

abstract:
  In their classical work (Proc. Natl. Acad. Sci. USA, 1981, 78:6840-6844),
Goldbeter and Koshland mathematically analyzed a reversible covalent
modification system which is highly sensitive to the concentration of
effectors. Its signal-response curve appears sigmoidal, constituting a
biochemical switch. However, the switch behavior only emerges in the
"zero-order region", i.e. when the signal molecule concentration is much lower
than that of the substrate it modifies. In this work we showed that the
switching behavior can also occur under comparable concentrations of signals
and substrates, provided that the signal molecules catalyze the modification
reaction in cooperation. We also studied the effect of dynamic disorders on the
proposed biochemical switch, in which the enzymatic reaction rates, instead of
constant, appear as stochastic functions of time. We showed that the system is
robust to dynamic disorder at bulk concentration. But if the dynamic disorder
is quasi-static, large fluctuations of the switch response behavior may be
observed at low concentrations. Such fluctuation is relevant to many biological
functions. It can be reduced by either increasing the conformation
interconversion rate of the protein, or correlating the enzymatic reaction
rates in the network.


title: Patterns of coexisting superconducting and particle-hole condensates

abstract:
  We have studied systematically the influence of particle-hole symmetric and
asymmetric kinetic terms on the ordered phases that we may observe competing or
coexisting in a tetragonal system. We show that there are precise patterns of
triplets of ordered phases that are accessible (i.e. it is impossible to
observe two of them without the third one). We found a systematic way to
predict these patterns of states and tested it by identifying at least 16
different patterns of three order parameters that necessarily coexist in the
presence of the kinetic terms. We show that there are two types of general
equations governing the competition of all these triplets of order parameters
and we provide them.


title: Differential calculus on a Lie algebroid and Poisson manifolds

abstract:
  A Lie algebroid over a manifold is a vector bundle over that manifold whose
properties are very similar to those of a tangent bundle. Its dual bundle has
properties very similar to those of a cotangent bundle: in the graded algebra
of sections of its external powers, one can define an operator similar to the
exterior derivative. We present in this paper the theory of Lie derivatives,
Schouten-Nijenhuis brackets and exterior derivatives in the general setting of
a Lie algebroid, its dual bundle and their exterior powers. All the results
(which, for their most part, are already known) are given with detailed proofs.
In the final sections, the results are applied to Poisson manifolds.


title: The Light Scalar Mesons a_0/f_0(980) at COSY-Juelich

abstract:
  The light scalar mesons a_0/f_0(980) are being investigated at COSY-Juelich
by detecting the strong decays into K-K-bar and pi-eta/pi-pi as well as
radiative decays into vector mesons. Selected results are discussed with
emphasis on recent measurements at the ANKE and WASA spectrometers.


title: Higher Derivative Corrections to Locally Black Brane Metrics

abstract:
  In this paper we generalize the construction of locally boosted black brane
space time to higher derivative gravities. We consider the Gauss-Bonnet term
(with coefficient $\alpha'$) as a toy example. We find the solution to the
$\alpha'$ corrected Einstein equations to first order in the boundary
derivative expansion. This allows us to find the $\alpha'$ corrections to the
boundary stress tensor in the presence of the Gauss-Bonnet term in the bulk
action. We therefore obtain the ratio of shear viscosity to entropy which
agrees with other methods of computation in the literature.


title:
Anisotropic effect of Cd and Hg doping on Pauli limited superconductor
  CeCoIn$_5$

abstract:
  We investigated the effect of Cd and Hg doping on the first order
superconducting (SC) transition and the high field-low temperature SC state of
CeCoIn$_5$ by measuring the specific heat of CeCo(In$_{\rm 1-x}$Cd$_{\rm
x}$)$_5$ with x=0.0011, 0.0022 and 0.0033 and CeCo(In$_{\rm 1-x}$Hg$_{\rm
x}$)$_5$ with x=0.00016, 0.00032, and 0.00048 at temperatures down to 0.1 K and
fields up to 14 T. Cd substitution rapidly suppresses the cross-over
temperature $T_{\rm 0}$, where the superconducting transition changes from
second to first order, to $T$=0 K with x=0.0022 for $H\parallel$ [100], while
it remains roughly constant up to x=0.0033 for $H\parallel$ [001]. The
associated anomaly of the proposed FFLO state in Hg-doped samples is washed out
by x=0.00048, while remaining at the same temperature, indicating high
sensitivity of that state to impurities. We interpret these results as
supporting the non-magnetic, possibly FFLO, origin of the high field - low
temperature state in CeCoIn$_5$.


title:
Southern Infrared Proper Motion Survey III: Constraining the mass
  function of low mass stars

abstract:
  The stellar mass function is one of the fundamental distributions of stellar
astrophysics. Its form at masses similar to the Sun was found by Salpeter
(1955) to be a power-law $m^{-\alpha}$ with a slope of $\alpha=1.35$. Since
then the mass function in the field, in stellar clusters and in other galaxies
has been studied to identify variation due to environment and mass range. Here
we use results from previous papers in the SIPS series to constrain the mass
function of low mass stars (0.075M$_\odot$$<$m$<0.2_\odot$). We use simulations
of the low mass local stellar population based on those in Deacon & Hambly
(2006) to model the results of the SIPS-II survey (Deacon & Hambly, 2007). We
then vary the input parameters of these simulations (the exponent of the mass
function $\alpha$ and a stellar birthrate parameter $\beta$) and compare the
simulated survey results with those from the actual survey. After a correction
for binarity and taking into account potential errors in our model we find that
$\alpha=-0.62\pm0.26$ for the quoted mass range.


title: Lepton flavor conserving Z boson decays and scalar unparticle

abstract:
  We predict the contribution of scalar unparticle to the branching ratios of
the lepton flavor conserving Z -> l^+ l^- decays and we study the discrepancy
between the experimental and the QED corrected standard model branching ratios.
We observe that these decays are sensitive to the unparticle scaling dimension
d_u for its small values, especially for heavy lepton flavor output.


title:
GRB 060605: multi-wavelength analysis of the first GRB observed using
  integral field spectroscopy

abstract:
  The long and relatively faint gamma-ray burst GRB 060605 detected by
\emph{Swift}/BAT lasted about 20 sec. Its afterglow could be observed with
\emph{Swift}/XRT for nearly 1 day, while \emph{Swift}/UVOT could detect the
afterglow during the first 6 hours after the event. Here, we report on integral
field spectroscopy of its afterglow performed with PMAS/PPak mounted at the
Calar Alto 3.5 m telescope. In addition, we report on a detailed analysis of
XRT and UVOT data and on the results of deep late-time VLT observations that
reveal the GRB host galaxy. We find that the burst occurred at a redshift of
$z$=3.773, possibly associated with a faint, $R_C=26.4 \pm 0.3$ host. Based on
the optical and X-ray data, we deduce information on the SED of the afterglow,
the position of the cooling frequency in the SED, the nature of the circumburst
environment, its collimation factor, and its energetics. We find that the GRB
fireball was expanding into a constant-density medium and that the explosion
was collimated with a narrow half-opening angle of about 2.4 degrees. The
initial Lorentz factor of the fireball was about 250; however, its
beaming-corrected energy release in the gamma-ray band was comparably low. The
optical, X-ray afterglow, on the other hand, was rather luminous. Finally, we
find that the data are consistent within the error bars with an achromatic
evolution of the afterglow during the suspected jet break time at about 0.27
days after the burst.


title:
Dynamical large deviations for the boundary driven weakly asymmetric
  exclusion process

abstract:
  We consider the weakly asymmetric exclusion process on a bounded interval
with particle reservoirs at the endpoints. The hydrodynamic limit for the
empirical density, obtained in the diffusive scaling, is given by the viscous
Burgers equation with Dirichlet boundary conditions. We prove the associated
dynamical large deviations principle.


title: Density dependence of symmetry free energy of hot nuclei

abstract:
  The density and excitation energy dependence of symmetry energy and symmetry
free energy for finite nuclei are calculated microscopically in a
microcanonical framework taking into account thermal and expansion effects. A
finite-range momentum and density dependent two-body effective interaction is
employed for this purpose. The role of mass, isospin and equation of state
(EoS) on these quantities is also investigated; our calculated results are in
consonance with the available experimental data.


title:
Coexistence of SDW, d-wave singlet and staggered $\pi$-triplet
  superconductivity

abstract:
  We have studied the competition and coexistence of staggered triplet SC with
d-wave singlet SC and SDW in the mean-field approximation. Detailed numerical
studies demonstrate that particle-hole asymmetry mixes these states and
therefore they are simultaneously present. Even more interesting were the
results of our study of the influence of a uniform magnetic field. We observe
novel transitions that show the characteristics of Fulde-Ferrel phases, yet
they concern transitions to different combinations of the above orders. For
example, above a given field, in a particle-hole symmetric system we observe a
transition from d-wave singlet SC to a state in which d-wave singlet SC
coexists with staggered triplet SC and SDW. We believe our results may provide,
among others, a direct explanation to recent puzzles about the Fulde Ferrel
like states that are apparently observed in CeCoIn5.


title: Resonant soft x-ray scattering from stepped surfaces of SrTiO3

abstract:
  We studied the resonant diffraction signal from stepped surfaces of SrTiO3 at
the Ti 2p -> 3d (L2,3) resonance in comparison with x-ray absorption (XAS) and
specular reflectivity data. The steps on the surface form an artificial
superstructure suited as a model system for resonant soft x-ray diffraction. A
small step density on the surface is sufficient to produce a well defined
diffraction peak, showing the high sensitivity of the method. At larger
incidence angles, the resonant diffraction spectrum from the steps on the
surface resembles the spectrum for specular reflectivity. Both deviate from the
XAS data in the relative peak intensities and positions of the peak maxima. We
determined the optical parameters of the sample across the resonance and found
that the differences between the XAS and scattering spectra reflect the
different quantities probed in the different signals. When recorded at low
incidence or detection angles, XAS and specular reflectivity spectra are
distorted by the changes of the angle of total reflection with energy. Also the
step peak spectra, though less affected, show an energy shift of the peak
maxima in grazing incidence geometry.


title: Bridge between Abelian and Non-Abelian Fractional Quantum Hall States

abstract:
  We propose a scheme to construct the most prominent Abelian and non-Abelian
fractional quantum Hall states from K-component Halperin wave functions. In
order to account for a one-component quantum Hall system, these SU(K) colors
are distributed over all particles by an appropriate symmetrization. Numerical
calculations corroborate the picture that the proposed scheme allows for a
unification of both Abelian and non-Abelian trial wave functions in the study
of one-component quantum Hall systems.


title: Dielectric and conductivity relaxation in mixtures of glycerol with LiCl

abstract:
  We report a thorough dielectric characterization of the alpha relaxation of
glass forming glycerol with varying additions of LiCl. Nine salt concentrations
from 0.1 - 20 mol% are investigated in a frequency range of 20 Hz - 3 GHz and
analyzed in the dielectric loss and modulus representation. Information on the
dc conductivity, the dielectric relaxation time (from the loss) and the
conductivity relaxation time (from the modulus) is provided. Overall, with
increasing ion concentration, a transition from reorientationally to
translationally dominated behavior is observed and the translational ion
dynamics and the dipolar reorientational dynamics become successively coupled.
This gives rise to the prospect that by adding ions to dipolar glass formers,
dielectric spectroscopy may directly couple to the translational degrees of
freedom determining the glass transition, even in frequency regimes where
usually strong decoupling is observed.


title:
Surface bound states and spin currents in non-centrosymmetric
  superconductors

abstract:
  We investigate the influence of spin-orbit coupling in a non-centrosymmetric
superconductor on its ground state properties near a surface. We determine the
spectrum of Andreev bound states due to surface-induced mixing of bands with
opposite spin helicities for a Rashba-type spin-orbit coupling. We find a
qualitative change of the Andreev spectrum when we account for the suppression
of the order parameter near the surface, leading to clear signatures in the
surface density of states. We also compute the spin current at the surface,
which has spin polarization normal to that of the bulk current. The magnitude
of the current at the surface is enhanced in the normal state compared to the
bulk, and even further enlarged in the superconducting phase. The particle and
hole coherence amplitudes show Faraday-like rotations of the spin along
quasiparticle trajectories.


title:
The Galaxy and its stellar halo: insights on their formation from a
  hybrid cosmological approach

abstract:
  We use a series of high-resolution simulations of a `Milky-Way' halo coupled
to semi-analytic methods to study the formation of our own Galaxy and of its
stellar halo. The physical properties of our model Milky Way, as well as the
age and metallicity distribution of stars in the different components, are in
relatively good agreement with observational measurements. Assuming that the
stellar halo builds up from the cores of the satellite galaxies that merged
with the Milky Way over its life-time, we are able to study the physical and
structural properties of this component. In agreement with previous work, we
find that the largest contribution to the stellar halo should come from a few
relatively massive (10^8 - 10^10 Msun) satellites, accreted at early times. Our
"stellar halo" does not exhibit any clear metallicity gradient, but higher
metallicity stars are more centrally concentrated than stars of lower
abundance. This indicates that the probability of observing low-metallicity
halo stars increases with distance from the Galactic centre. We find that the
proposed "dual" nature of the Galactic stellar halo can be explained in our
model as a result of a mass-metallicity relation imprinted in the building
blocks of this component.


title: The obscured gamma-ray and UHECR universe

abstract:
  Auger results on clustering of > 60 EeV ultra-high energy cosmic ray (UHECR)
ions and the interpretation of the gamma-ray spectra of TeV blazars are
connected by effects from the extragalactic background light (EBL). The EBL
acts as an obscuring medium for gamma rays and a reprocessing medium for UHECR
ions and protons, causing the GZK cutoff. The study of the physics underlying
the coincidence between the GZK energy and the clustering energy of UHECR ions
favors a composition of > 60 EeV UHECRs in CNO group nucleons. This has
interesting implications for the sources of UHECRs. We also comment on the
Auger analysis.


title: Partial Description of Quantum States

abstract:
  One of the most central and controversial element of quantum mechanics is the
use of non zero vectors of a Hilbert space (or, more generally, of one
dimension subspaces) for representing the state of a quantum system. In
particular, the question whether such a representation is complete has been
debated since almost the early days of quantum mechanics. In this article, we
develop an alternate way to formalize knowledge about the state of quantum
systems, based solely on experimentally accessible elements, namely on outcomes
of finite measurements. We introduce what we call partial description which,
given a feasible measurement, indicates some outcomes which are known to be
impossible (i.e. known to have a probability equal to 0 to occur) and hence
have to be discarded. Then, we introduce partial states (which are partial
descriptions providing as much information as possible) and compare this way to
describe quantum states to the orthodox one, using vector rays. Finally, we
show that partial states allow to describe quantum states in a strictly more
expressive way that the orthodox description does.


title: A Little Statistical Mechanics for the Graph Theorist

abstract:
  In this survey, we give a friendly introduction from a graph theory
perspective to the q-state Potts model, an important statistical mechanics tool
for analyzing complex systems in which nearest neighbor interactions determine
the aggregate behavior of the system. We present the surprising equivalence of
the Potts model partition function and one of the most renowned graph
invariants, the Tutte polynomial, a relationship that has resulted in a
remarkable synergy between the two fields of study. We highlight some of these
interconnections, such as computational complexity results that have alternated
between the two fields. The Potts model captures the effect of temperature on
the system and plays an important role in the study of thermodynamic phase
transitions. We discuss the equivalence of the chromatic polynomial and the
zero-temperature antiferromagnetic partition function, and how this has led to
the study of the complex zeros of these functions. We also briefly describe
Monte Carlo simulations commonly used for Potts model analysis of complex
systems. The Potts model has applications as widely varied as magnetism, tumor
migration, foam behaviors, and social demographics, and we provide a sampling
of these that also demonstrates some variations of the Potts model. We conclude
with some current areas of investigation that emphasize graph theoretic
approaches.
  This paper is an elementary general audience survey, intended to popularize
the area and provide an accessible first point of entry for further
exploration.


title: On analytic properties of entropy rate

abstract:
  Entropy rate is a real valued functional on the space of discrete random
sources which lacks a closed formula even for subclasses of sources which have
intuitive parameterizations. A good way to overcome this problem is to examine
its analytic properties relative to some reasonable topology. A canonical
choice of a topology is that of the norm of total variation as it immediately
arises with the idea of a discrete random source as a probability measure on
sequence space. It is shown that entropy rate is Lipschitzian relative to this
topology, which, by well known facts, is close to differentiability. An
application of this theorem leads to a simple and elementary proof of the
existence of entropy rate of random sources with finite evolution dimension.
This class of sources encompasses arbitrary hidden Markov sources and quantum
random walks.


title: Complementary expressions for the entropy-from-work theorem

abstract:
  We establish an expression of the entropy-from-work theorem that is
complementary to the one originally proposed in [P. Talkner, P. Hanggi and M.
Morillo, arXiv:0707.2307]. In the original expression the final energy is fixed
whereas in the present expression the initial energy is fixed.


title:
System size dependence of two-particle angular correlations in p+p,
  Cu+Cu and Au+Au collisions

abstract:
  We present a systematic study of two-particle angular correlations in p+p,
Cu+Cu and Au+Au collisions over a broad range of pseudorapidity and azimuthal
angle. The PHOBOS detector has a uniquely large angular coverage for inclusive
charged particles, which allows for the study of correlations on both long- and
short-range scales. A complex two-dimensional correlation structure emerges
which is interpreted in the context of a cluster model. The cluster size and
its decay width are extracted from the two-particle pseudorapidity correlation
function. The cluster size found in semi-central Cu+Cu and Au+Au collisions is
comparable to that found in p+p but a non-trivial increase of cluster size with
decreasing centrality is observed. Moreover, the comparison between Cu+Cu and
Au+Au systems shows an interesting scaling of the cluster size with the
measured fraction of total cross section (which is related to $b/2R$),
suggesting a geometric origin. These results should provide insight into the
hadronization stage of the hot and dense medium created in heavy ion
collisions.


title: First coniveau notch of the Dwork family and its mirror

abstract:
  If $X_{\lambda}$ is a smooth member of the Dwork family over a perfect field
$k$, and $Y_{\lambda}$ is its mirror variety, then the motives of $X_{\lambda}$
and $Y_{\lambda}$ are equal up to motives that are in coniveau $\geq 1$. If $k$
is a finite field, this provides a motivic explanation for Wan's congruence
between the zeta functions of $X_{\lambda}$ and $Y_{\lambda}$.


title:
A Design Framework for Limited Feedback MIMO Systems with Zero-Forcing
  DFE

abstract:
  We consider the design of multiple-input multiple-output communication
systems with a linear precoder at the transmitter, zero-forcing decision
feedback equalization (ZF-DFE) at the receiver, and a low-rate feedback channel
that enables communication from the receiver to the transmitter. The channel
state information (CSI) available at the receiver is assumed to be perfect, and
based on this information the receiver selects a suitable precoder from a
codebook and feeds back the index of this precoder to the transmitter. Our
approach to the design of the components of this limited feedback scheme is
based on the development, herein, of a unified framework for the joint design
of the precoder and the ZF-DFE under the assumption that perfect CSI is
available at both the transmitter and the receiver. The framework is general
and embraces a wide range of design criteria. This framework enables us to
characterize the statistical distribution of the optimal precoder in a standard
Rayleigh fading environment. Using this distribution, we show that codebooks
constructed from Grassmann packings minimize an upper bound on an average
distortion measure, and hence are natural candidates for the codebook in
limited feedback systems. We also show that for any given codebook the
performance of the proposed limited feedback schemes is an upper bound on the
corresponding schemes with linear zero-forcing receivers. Our simulation
studies show that the proposed limited feedback scheme can provide
significantly better performance at a lower feedback rate than existing schemes
in which the detection order is fed back to the transmitter.


title: Unstable recurrent patterns in Kuramoto-Sivashinsky dynamics

abstract:
  We undertake a systematic exploration of recurrent patterns in a
1-dimensional Kuramoto-Sivashinsky system. For a small, but already rather
turbulent system, the long-time dynamics takes place on a low-dimensional
invariant manifold. A set of equilibria offers a coarse geometrical partition
of this manifold. A variational method enables us to determine numerically a
large number of unstable spatiotemporally periodic solutions. The attracting
set appears surprisingly thin - its backbone are several Smale horseshoe
repellers, well approximated by intrinsic local 1-dimensional return maps, each
with an approximate symbolic dynamics. The dynamics appears decomposable into
chaotic dynamics within such local repellers, interspersed by rapid jumps
between them.


title: The Void Phenomenon Explained

abstract:
  We use high-resolution N-body simulations, combined with a halo occupation
model of galaxy bias, to investigate voids in the galaxy distribution. Our goal
is to address the 'void phenomenon' of Peebles (2001), which presents the
observed dearth of faint galaxies in voids as a challenge to the current
cosmology. In our model, galaxy luminosity is determined only as a function of
dark matter halo mass. With this simple assumption, we demonstrate that large,
empty voids of ~15 Mpc/h in diameter are expected even for galaxies seven
magnitudes fainter than L*. The predictions of our model are in excellent
agreement with several statistical measures; (i) the luminosity function of
galaxies in underdense regions, (ii) nearest neighbor statistics of dwarf
galaxies, (iii) the void probability function of faint galaxies. In the
transition between filaments and voids in the dark matter, the halo mass
function changes abruptly, causing the maximum galaxy luminosity to decrease by
~5 magnitudes over a range of ~1 Mpc/h. Thus the boundary between filaments and
voids in the galaxy distribution is nearly as sharp for dwarfs as for ~L*
objects. These results support a picture in which galaxy formation is driven
predominantly by the mass of the host dark matter halo, and is nearly
independent of the larger-scale halo environment. Further, they demonstrate
that LCDM, combined with a straightforward bias model, naturally explains the
existence of the void phenomenon.


title: On the structure of tidal tails

abstract:
  We examine the longitudinal distribution of the stars escaping from a cluster
along tidal tails. Using both theory and simulations, we show that, even in the
case of a star cluster in a circular galactic orbit, when the tide is steady,
the distribution exhibits maxima at a distance of many tidal radii from the
cluster.


title: Constraining Light Colored Particles with Event Shapes

abstract:
  Using recently developed techniques for computing event shapes with
Soft-Collinear Effective Theory, LEP event shape data is used to derive strong
model-independent bounds on new colored particles. In the effective field
theory computation, colored particles contribute in loops not only to the
running of alpha_s but also to the running of hard, jet and soft functions.
Moreover, the differential distribution in the effective theory explicitly
probes many energy scales, so event shapes have strong sensitivity to new
particle thresholds. Using thrust data from ALEPH and OPAL, colored adjoint
fermions (such as a gluino) below 51.0 GeV are ruled out to 95% confidence
level. This is nearly an order-of-magnitude improvement over the previous
model-independent bound of 6.3 GeV.


title: A possible anthropic solution to the Strong CP problem

abstract:
  We point out that the long-standing strong CP problem may be resolved by an
anthropic argument. The key ideas are: (i) to allow explicit breaking(s) of the
Peccei-Quinn symmetry which reduces the strong CP problem to the cosmological
constant problem, and (ii) to conjecture that the probability distribution of
the vacuum energy has a mild pressure towards higher values. The cosmological
problems of the (s)axion with a large Peccei-Quinn scale are absent in our
mechanism, since the axion acquires a large mass from the explicit breaking.


title:
The Transit Light Curve Project. VIII. Six Occultations of the Exoplanet
  TrES-3

abstract:
  We present photometry of the exoplanet host star TrES-3 spanning six
occultations (secondary eclipses) of its giant planet. No flux decrements were
detected, leading to 99%-confidence upper limits on the planet-to-star flux
ratio of 0.00024, 0.0005, and 0.00086 in the i, z, and R bands respectively.
The corresponding upper limits on the planet's geometric albedo are 0.30, 0.62,
and 1.07. The upper limit in the i band rules out the presence of highly
reflective clouds, and is only a factor of 2-3 above the predicted level of
thermal radiation from the planet.


title:
Strong Correlations and Magnetic Frustration in the High Tc Iron
  Pnictides

abstract:
  We consider the iron pnictides in terms of a proximity to a Mott insulator.
The superexchange interactions contain competing nearest-neighbor and
next-nearest-neighbor components. In the undoped parent compound, these
frustrated interactions lead to a two-sublattice collinear antiferromagnet
(each sublattice forming a Neel ordering), with a reduced magnitude for the
ordered moment. Electron or hole doping, together with the frustration effect,
suppresses the magnetic ordering and allows a superconducting state. The
exchange interactions favor a d-wave superconducting order parameter; in the
notation appropriate for the Fe square lattice, its orbital symmetry is
$d_{xy}$. A number of existing and future experiments are discussed in light of
the theoretical considerations.


title: Wheeled pro(p)file of Batalin-Vilkovisky formalism

abstract:
  Using technique of wheeled props we establish a correspondence between the
homotopy theory of unimodular Lie 1-bialgebras and the famous
Batalin-Vilkovisky formalism. Solutions of the so called quantum master
equation satisfying certain boundary conditions are proven to be in 1-1
correspondence with representations of a wheeled dg prop which, on the one
hand, is isomorphic to the cobar construction of the prop of unimodular Lie
1-bialgebras and, on the other hand, is quasi-isomorphic to the dg wheeled prop
of unimodular Poisson structures. These results allow us to apply properadic
methods for computing formulae for a homotopy transfer of a unimodular Lie
1-bialgebra structure on an arbitrary complex to the associated quantum master
function on its cohomology. It is proven that in the category of quantum BV
manifolds associated with the homotopy theory of unimodular Lie 1-bialgebras
quasi-isomorphisms are equivalence relations.
  It is shown that Losev-Mnev's BF theory for unimodular Lie algebras can be
naturally extended to the case of unimodular Lie 1-bialgebras (and, eventually,
to the case of unimodular Poisson structures). Using a finite-dimensional
version of the Batalin-Vilkovisky quantization formalism it is rigorously
proven that the Feynman integrals computing the effective action of this new BF
theory describe precisely homotopy transfer formulae obtained within the
wheeled properadic approach to the quantum master equation. Quantum corrections
(which are present in our BF model to all orders of the Planck constant)
correspond precisely to what are often called "higher Massey products" in the
homological algebra.


title: Intense Mass Loss from C-rich AGB Stars at low Metallicity?

abstract:
  We argue that the energy injection of pulsations may be of greater importance
to the mass-loss rate of AGB stars than metallicity, and that the mass-loss
trend with metallicity is not as simple as sometimes assumed. Using our
detailed radiation hydrodynamical models that include dust formation, we
illustrate the effects of pulsation energy on wind properties. We find that the
mass-loss rate scales with the kinetic energy input by pulsations as long as a
dust-saturated wind does not occur, and all other stellar parameters are kept
constant. This includes the absolute abundance of condensible carbon (not bound
in CO), which is more relevant than keeping the C/O-ratio constant when
comparing stars of different metallicity. The pressure and temperature
gradients in the atmospheres of stars, become steeper and flatter,
respectively, when the metallicity is reduced, while the radius where the
atmosphere becomes opaque is typically associated with a higher gas pressure.
This effect can be compensated for by adjusting the velocity amplitude of the
variable inner boundary (piston), which is used to simulate the effects of
pulsation, to obtain models with comparable kinetic-energy input. Hence, it is
more relevant to compare models with similar energy-injections than of similar
velocity amplitude. Since there is no evidence for weaker pulsations in
low-metallicity AGB stars, we conclude that it is unlikely that low-metallicity
C-stars have a lower mass-loss rate, than their more metal-rich counterparts
with similar stellar parameters, as long as they have a comparable amount of
condensible carbon.


title: NJL with eight quark interactions: Chiral phases at finite T

abstract:
  The thermodynamic potential and thermal dependence of low lying mass spectra
of scalars and pseudoscalars are evaluated in a generalized Nambu --
Jona-Lasinio model, which incorporates eight-quark interactions. These are
necessary to stabilize the scalar effective potential for the light and strange
quark flavors, which would be otherwise unbounded from below. In addition it
turns out that they are also crucial to i) lower the temperature of the chiral
transition, in conformity with lattice calculations, ii) sharpen the
temperature interval in which the crossover occurs, iii) or even allow for
first order transitions to occur with realistic quark mass values, from certain
critical values of the parameters. These are unprecedented results which cannot
be obtained within the NJL approaches restricted to quartic and six-quark
interactions.


title: Estimation of galactic model parameters in high latitudes with SDSS

abstract:
  We estimated the Galactic model parameters for a set of 36 high-latitude
fields included in the currently available Data Release 5 (DR 5) of the Sloan
Digital Sky Survey ({\em SDSS}), to explore their possible variation with the
Galactic longitude. The thick disc scaleheight moves from $\sim$550 pc at
$120^{\circ}<l<150^{\circ}$ to $\sim$720 pc at $250^{\circ}<l<290^{\circ}$,
while the thin disc scaleheight is as large as $\sim$195 pc in the anticenter
direction and $\sim$15% lower at $|l|<30^\circ$. Finally, the axis ratio
($c/a$) of the halo changes from a mean value of $\sim$0.55 in the two first
quadrants of the Galaxy to $\sim$0.70 at $190^{\circ}<l<300^{\circ}$. For the
halo, the reason for the dependence of the model parameters on the Galactic
longitude arises from the well known asymmetric structure of this component.
However, the variation of the model parameters of the thin and thick discs with
Galactic longitude originates from the gravitational effect of the Galactic
long bar. Moreover, the excess of stars in quadrant I (quadrant III) over
quadrant IV (quadrant II) is in agreement with this scenario.


title: Discrete-charge Quantum Circuits and Electrical Resistance

abstract:
  From the theory of quantum $LC$ circuits with discrete charge, and {\em
semiclassical} considerations, we obtain approximate energy eigenvalues,
depending on the parameter $q_e^2/h$. Next, we include electrical resistance
for the quantum $RLC$ circuit, obtaining a relation that strongly reminds us of
the Landauer formula.


title:
Dark matter halo concentrations in the Wilkinson Microwave Anisotropy
  Probe year 5 cosmology

abstract:
  We use a combination of three large N-body simulations to investigate the
dependence of dark matter halo concentrations on halo mass and redshift in the
WMAP year 5 cosmology. The median relation between concentration and mass is
adequately described by a power-law for halo masses in the range 10^11 - 10^15
Msol/h and redshifts z < 2, regardless of whether the halo density profiles are
fit using NFW or Einasto profiles. Compared with recent analyses of the
Millennium Simulation, which uses a value of sigma_8 that is higher than
allowed by WMAP5, z = 0 halo concentrations are reduced by factors ranging from
23 per cent at 10^11 Msol/h to 16 per cent at 10^14 Msol/h. The predicted
concentrations are much lower than inferred from X-ray observations of groups
and clusters.


title:
The ergodic decomposition of asymptotically mean stationary random
  sources

abstract:
  It is demonstrated how to represent asymptotically mean stationary (AMS)
random sources with values in standard spaces as mixtures of ergodic AMS
sources. This an extension of the well known decomposition of stationary
sources which has facilitated the generalization of prominent source coding
theorems to arbitrary, not necessarily ergodic, stationary sources. Asymptotic
mean stationarity generalizes the definition of stationarity and covers a much
larger variety of real-world examples of random sources of practical interest.
It is sketched how to obtain source coding and related theorems for arbitrary,
not necessarily ergodic, AMS sources, based on the presented ergodic
decomposition.


title:
Atomic Structures of all the Twenty Essential Amino Acids and a
  Tripeptide, with Bond Lengths as Sums of Atomic Covalent Radii

abstract:
  Recently, the bond lengths of the molecular components of nucleic acids and
of caffeine and related molecules were shown to be sums of the appropriate
covalent radii of the adjacent atoms. Thus, each atom was shown to have its
specific contribution to the bond length. This enabled establishing their
atomic structures for the first time. In this work, the known bond lengths for
amino acids and the peptide bond are similarly shown to be sums of the atomic
covalent radii. Based on this result, the atomic structures of all the twenty
essential amino acids and a tripeptide have been presented.


title: Extended Supersymmetric Moduli Space and a SUSY/Non-SUSY Duality

abstract:
  We study N=1 supersymmetric U(N) gauge theories coupled to an adjoint chiral
field with superpotential. We consider the full supersymmetric moduli space of
these theories obtained by adding all allowed chiral operators. These include
higher-dimensional operators that introduce a field-dependence for the gauge
coupling. We show how Feynman diagram/matrix model/string theoretic techniques
can all be used to compute the IR glueball superpotential. Moreover, in the
limit of turning off the superpotential, this leads to a deformation of N=2
Seiberg-Witten theory. In the case where the superpotential drives the squared
gauge coupling to a negative value, we find that supersymmetry is spontaneously
broken, which can be viewed as a novel mechanism for breaking supersymmetry. We
propose a new duality between a class of N=1 supersymmetric U(N) gauge theories
with field-dependent gauge couplings and a class of U(N) gauge theories where
supersymmetry is softly broken by nonzero expectation values for auxiliary
components of spurion superfields.


title:
The Atiyah-Singer index formula for subelliptic operators on contact
  manifolds, Part I

abstract:
  The Atiyah-Singer index theorem is a topological formula for the index of an
elliptic differential operator. The topological index depends on a cohomology
class that is constructed from the principal symbol of the operator. On contact
manifolds, the important Fredholm operators are not elliptic, but hypoelliptic.
Their symbolic calculus is noncommutative, and involves analysis on the
Heisenberg group. For a hypoelliptic differential operator in the Heisenberg
calculus on a contact manifold we construct a symbol class in the K-theory of a
noncommutative C*-algebra of symbols. There is a canonical map from this
analytic K-theory group to the deRham cohomology of the manifold, which gives a
class to which the Atiyah-Singer formula can be applied. We prove that the
index formula holds for these hypoelliptic operators. Our methods derive from
Connes' tangent groupoid proof of the index theorem.


title:
Differential rotation on both components of the pre main-sequence binary
  system HD 155555

abstract:
  We present the first measurements of surface differential rotation on a
pre-main sequence binary system. Using intensity (Stokes I) and circularly
polarised (Stokes V) timeseries spectra, taken over eleven nights at the
Anglo-Australian Telescope (AAT), we incorporate a solar-like differential
rotation law into the surface imaging process. We find that both components of
the young, 18 Myr, HD 155555 (V824 Ara, G5IV + K0IV) binary system show
significant differential rotation. The equator-pole laptimes as determined from
the intensity spectra are 80 days for the primary star and 163 days for the
secondary. Similarly for the magnetic spectra we obtain equator-pole laptimes
of 44 and 71 days respectively, showing that the shearing timescale of magnetic
regions is approximately half that found for stellar spots. Both components are
therefore found to have rates of differential rotation similar to those of the
same spectral type main sequence single stars. The results for HD 155555 are
therefore in contrast to those found in other, more evolved, binary systems
where negligible or weak differential rotation has been discovered. We discuss
two possible explanations for this; firstly that at the age of HD 155555 binary
tidal forces have not yet had time to suppress differential rotation, secondly
that the weak differential rotation previously observed on evolved binaries is
a consequence of their large convection zone depths. We suggest that the latter
is the more likely solution and show that both temperature and convection zone
depth (from evolutionary models) are good predictors of differential rotation
strength. Finally, we also examine the possible consequences of the measured
differential rotation on the interaction of binary star coronae.


title:
The Atiyah-Singer index formula for subelliptic operators on contact
  manifolds, Part II

abstract:
  We present a new solution to the index problem for hypoelliptic operators in
the Heisenberg calculus on contact manifolds, by constructing the appropriate
topological K-theory cocycle for such operators. Its Chern character gives a
cohomology class to which the Atiyah-Singer index formula can be applied. Such
a K-cocycle has already been constructed by Boutet de Monvel for Toeplitz
operators, and, more recently, by Melrose and Epstein for the class of Hermite
operators. Our construction applies to general hypoelliptic pseudodifferential
operators in the Heisenberg calculus. As in the Hermite Index Formula of
Melrose and Epstein, our construction gives a vector bundle automorphism of the
symmetric tensors of the contact hyperplane bundle. This automorphism is
constructed directly from the invertible Heisenberg symbol of the operator, and
is easily computed in the case of differential operators.


title: Lorentz and semi-Riemannian spaces with Alexandrov curvature bounds

abstract:
  A semi-Riemannian manifold is said to satisfy $R\ge K$ (or $R\le K$) if
spacelike sectional curvatures are $\ge K$ and timelike ones are $\le K$ (or
the reverse). Such spaces are abundant, as warped product constructions show;
they include, in particular, big bang Robertson-Walker spaces. By stability,
there are many non-warped product examples. We prove the equivalence of this
type of curvature bound with local triangle comparisons on the signed lengths
of geodesics. Specifically, $R\ge K$ if and only if locally the signed length
of the geodesic between two points on any geodesic triangle is at least that
for the corresponding points of its model triangle in the Riemannian, Lorentz
or anti-Riemannian plane of curvature $K$ (and the reverse for $R\le K$). The
proof is by comparison of solutions of matrix Riccati equations for a modified
shape operator that is smoothly defined along reparametrized geodesics
(including null geodesics) radiating from a point. Also proved are
semi-Riemannian analogues to the three basic Alexandrov triangle lemmas,
namely, the realizability, hinge and straightening lemmas. These analogues are
intuitively surprising, both in one of the quantities considered, and also in
the fact that monotonicity statements persist even though the model space may
change. Finally, the algebraic meaning of these curvature bounds is elucidated,
for example by relating them to a curvature function on null sections.


title:
Systematic Errors in Sunyaev-Zeldovich Surveys of Galaxy Cluster
  Velocities

abstract:
  Galaxy cluster surveys compiled via the Sunyaev-Zeldovich Effect have the
potential to place strong constraints on cosmology, and in particular the
nature of dark energy. Here we consider cluster velocity surveys using kinetic
Sunyaev-Zeldovich measurements. Cluster velocities closely trace the
large-scale velocity field independent of cluster mass; we demonstrate that two
useful cluster velocity statistics are nearly independent of cluster mass, in
marked contrast to cluster number count statistics. On the other hand, cluster
velocity determinations from three-band observations of Sunyaev-Zeldovich
distortions can require additional cluster data or assumptions, and are
complicated by microwave emission from dusty galaxies and radio sources, which
may be correlated with clusters. Systematic errors in velocity due to these
factors can give substantial biases in determination of dark energy parameters,
although large cluster velocity surveys will contain enough information that
the errors can be modeled using the data itself, with little degradation in
cosmological constraints.


title:
(42355) Typhon-Echidna: Scheduling Observations for Binary Orbit
  Determination

abstract:
  We describe a strategy for scheduling astrometric observations to minimize
the number required to determine the mutual orbits of binary transneptunian
systems. The method is illustrated by application to Hubble Space Telescope
observations of (42355) Typhon-Echidna, revealing that Typhon and Echidna orbit
one another with a period of 18.971 +/- 0.006 days and a semimajor axis of 1628
+/- 29 km, implying a system mass of (9.49 +/- 0.52) x 10^17 kg. The
eccentricity of the orbit is 0.526 +/- 0.015. Combined with a radiometric size
determined from Spitzer Space Telescope data and the assumption that Typhon and
Echidna both have the same albedo, we estimate that their radii are 76 +14/-16
and 42 +8/-9 km, respectively. These numbers give an average bulk density of
only 0.44 +0.44/-0.17 g cm^-3, consistent with very low bulk densities recently
reported for two other small transneptunian binaries.


title: More on counting acyclic digraphs

abstract:
  In this note we derive enumerative formulas for several types of labelled
acyclic directed graphs by slight modifications of the familiar recursive
formula for simple acyclic digraphs. These considerations are motivated by, and
based upon, recent combinatorial results in geometric topology obtained by
S.Choi, who established exact correspondences between acyclic digraphs and
so-called small covers over hypercubes and related polytopes. In particular, we
show that the number of equivalence classes of small covers over the cartesian
product of $n$ copies of an $r$-simplex is equal to the number of acyclic
$(2^r-1)$-multidigraphs of order $n$. Asymptotics follows easily since the main
formula is represented by a simple equation in terms of special generating
functions.


title: Smoothness of radial solutions to Monge-Ampere equations

abstract:
  We characterize when radial weak solutions to Monge-Ampere equations are
smooth. This paper extends previous partial results and also covers Generalized
Monge-Ampere equations and infinitely vanishing right hand side.


title: Fractional dynamics in the L\'evy quantum kicked rotor

abstract:
  We investigate the quantum kicked rotor in resonance subjected to momentum
measurements with a L\'evy waiting time distribution. We find that the system
has a sub-ballistic behavior. We obtain an analytical expression for the
exponent of the power law of the variance as a function of the characteristic
parameter of the L\'evy distribution and connect this anomalous diffusion with
a fractional dynamics.


title:
Modeling approach to regime shifts of primary production in shallow
  coastal ecosystems

abstract:
  Pristine coastal shallow systems are usually dominated by extensive meadows
of seagrass species, which are assumed to take advantage of nutrient supply
from sediment. An increasing nutrient input is thought to favour phytoplankton,
epiphytic microalgae, as well as opportunistic ephemeral macroalgae that
coexist with seagrasses. The primary cause of shifts and succession in the
macrophyte community is the increase of nutrient load to water; however
temperature plays also an important role. A competition model between rooted
seagrass (Zostera marina), macroalgae (Ulva sp), and phytoplankton has been
developed to analyse the succession of primary producer communities in these
systems. Successions of dominance states, with different resilience
characteristics, are found when modifying the input of nutrients and the
seasonal temperature and light intensity forcing.


title: Regularity of Solutions to Regular Shock Reflection for Potential Flow

abstract:
  The shock reflection problem is one of the most important problems in
mathematical fluid dynamics, since this problem not only arises in many
important physical situations but also is fundamental for the theory of
multidimensional conservation laws. However, most of the fundamental issues for
shock reflection have not been understood. Therefore, it is important to
establish the regularity of solutions to shock reflection in order to
understand fully the phenomena of shock reflection. On the other hand, for a
regular reflection configuration, the potential flow governs the exact behavior
of the solution in $C^{1,1}$ across the pseudo-sonic circle even starting from
the full Euler flow, that is, both of the nonlinear systems are actually the
same in an physically significant region near the pseudo-sonic circle; thus, it
becomes essential to understand the optimal regularity of solutions for the
potential flow across the pseudo-sonic circle and at the point where the
pseudo-sonic circle meets the reflected shock. In this paper, we study the
regularity of solutions to regular shock reflection for potential flow. In
particular, we prove that the $C^{1,1}$-regularity is optimal for the solution
across the pseudo-sonic circle and at the point where the pseudo-sonic circle
meets the reflected shock. We also obtain the $C^{2,\alpha}$ regularity of the
solution up to the pseudo-sonic circle in the pseudo-subsonic region. The
problem involves two types of transonic flow: one is a continuous transition
through the pseudo-sonic circle from the pseudo-supersonic region to the
pseudo-subsonic region; the other a jump transition through the transonic shock
as a free boundary from another pseudo-supersonic region to the pseudo-subsonic
region.


title: The GMRT Search for Reionization

abstract:
  We present an overview for the reionization search at GMRT. The forecast
sensitivities are promising for an early detection. RFI mitigation has been
successful. Several hundred hours of telescope time have already been invested
in this ongoing effort, and analysis of the data is in progress.


title: On the construction of Fermi-Walker transported frames

abstract:
  We consider tetrad fields as reference frames adapted to observers that move
along arbitrary timelike trajectories in spacetime. By means of a local Lorentz
transformation we can transform these frames into Fermi-Walker transported
frames, which define a standard of non-rotation for accelerated observers. Here
we present a simple prescription for the construction of Fermi-Walker
transported frames out of an arbitrary set of tetrad fields.


title:
Minimal Flavor Violation in the Lepton Sector of the Randall-Sundrum
  Model

abstract:
  We propose a realization of Minimal Flavor Violation in the lepton sector of
the Randall-Sundrum model. With the MFV assumption, the only source of flavor
violation are the 5D Yukawa couplings, and the usual two independent sources of
flavor violation are related. In the limit of massless neutrinos, the bulk mass
matrices and 5D Yukawa matrices are simultaneously diagonalized, and hence the
absence of FCNCs. In the case of massive neutrinos, the contributions to FCNCs
in the charged lepton sector are highly suppressed, due to the smallness of
neutrino masses. In addition, the MFV assumption also allows suppressing
one-loop charged current contributions to flavor changing processes by reducing
the size of the Yukawa couplings, which is not possible in the generic
anarchical case. We found that the first KK mass scale as low as ~ 3 TeV can be
allowed. In both cases, we present a set of numerical results that give rise to
realistic lepton masses and mixing angles. Mild hierarchy in the 5D Yukawa
matrix of O(25) in our numerical example is required to be consistent with two
large and one small mixing angles. This tuning could be improved by having a
more thorough search of the parameter space.


title:
Applying matrix product operators to model systems with long-range
  interactions

abstract:
  An algorithm is presented which computes a translationally invariant matrix
product state approximation of the ground state of an infinite 1D system; it
does this by embedding sites into an approximation of the infinite
``environment'' of the chain, allowing the sites to relax, and then merging
them with the environment in order to refine the approximation. By making use
of matrix product operators, our approach is able to directly model any
long-range interaction that can be systematically approximated by a series of
decaying exponentials. We apply our techniques to compute the ground state of
the Haldane-Shastry model and present results.


title: Consistent classical and quantum mixed dynamics

abstract:
  A recent proposal for mixed dynamics of classical and quantum ensembles is
shown, in contrast to other proposals, to satisfy the minimal algebraic
requirements proposed by Salcedo for any consistent formulation of such
dynamics. Generalised Ehrenfest relations for the expectation values of
classical and quantum observables are also obtained. It is further shown that
additional desirable requirements, related to separability, may be satisfied
under the assumption that only the configuration of the classical component is
directly accessible to measurement, eg, via a classical pointer. Although the
mixed dynamics is formulated in terms of ensembles on configuration space,
thermodynamic mixtures of such ensembles may be defined which are equivalent to
canonical phase space ensembles on the classical sector. Hence, the formulation
appears to be both consistent and physically complete.


title: Remarks on modules of the ortho-symplectic Lie superalgebras

abstract:
  We examine in detail the Jacobi-Trudi characters over the ortho-symplectic
Lie superalgebras spo(2|2m+1) and spo(2n|3). We furthermore relate them to
Serganova's notion of Euler characters.


title: Constraining the nuclear gluon distribution in $eA$ processes at RHIC

abstract:
  A systematic determination of the gluon distribution is of fundamental
interest in understanding the parton structure of nuclei and the QCD dynamics.
Currently, the behavior of this distribution at small $x$ (high energy) is
completely undefined. In this paper we analyze the possibility of constraining
the nuclear effects present in $xg^A$ using the inclusive observables which
would be measured in the future electron-nucleus collider at RHIC. We
demonstrate that the study of nuclear longitudinal and charm structure
functions allows to estimate the magnitude of shadowing and antishadowing
effects in the nuclear gluon distribution.


title:
Some New Monotonicity Formulas and the Singular Set in the Lower
  Dimensional Obstacle Problem

abstract:
  We construct two new one-parameter families of monotonicity formulas to study
the free boundary points in the lower dimensional obstacle problem. The first
one is a family of Weiss type formulas geared for points of any given
homogeneity and the second one is a family of Monneau type formulas suited for
the study of singular points. We show the uniqueness and continuous dependence
of the blowups at singular points of given homogeneity. This allows to prove a
structural theorem for the singular set.
  Our approach works both for zero and smooth non-zero lower dimensional
obstacles. The study in the latter case is based on a generalization of
Almgren's frequency formula, first established by Caffarelli, Salsa, and
Silvestre.


title: Infinite size density matrix renormalization group, revisited

abstract:
  I revisit the infinite-size variant of the Density Matrix Renormalization
Group (iDMRG) algorithm for obtaining a fixed-point translationally invariant
matrix product wavefunction in the context of one-dimensional quantum systems.
A crucial ingredient of this algorithm is an efficient transformation for
obtaining the matrix elements of the wavefunction as the lattice size is
increased, and I introduce here a versatile transformation that is demonstrated
to be much more effective than previous versions. The resulting algorithm has a
surprisingly close relationship to Vidal's Time Evolving Block Decimation for
infinite systems, but allows much faster convergence. Access to a
translationally invariant matrix product state allows the calculation of
correlation functions based on the transfer matrix, which directly gives the
spectrum of all correlation lengths. I also show some advantages of the Matrix
Product Operator (MPO) technique for constructing expectation values of higher
moments, such as the exact variance $<(H-E)^2>$.


title: Viable semi-relativistic quark model of heavy-light systems

abstract:
  The semi-relativistic quark potential model is surprisingly powerful for
heavy-light systems if the bound state equation is treated correctly using
1/m_Q expansion with heavy quark mass m_Q. We elucidate the reasons why our
semi-relativistic model succeeds in predicting and reproducing all the mass
spectra of heavy-light systems so far reported, D/D_s/B/B_s, by reviewing and
comparing recent experimental data with the results of our model and others.
Especially the mass spectra of the so-called D_{sJ}, i.e., D_{s0}^* and
D_{s1}', are successfully reproduced only by our model but not by other models.


title: Finding Rigged Configurations From Paths

abstract:
  We review reformulation of the map from tensor product of crystals to the
rigged configurations in terms of the energy function of affine crystals.
Especially, we give intuitive picture of the inverse scattering formalism for
the periodic box-ball systems formulated by Kuniba-Takagi-Takenouchi
(arXiv:math/0602481v2).