title: Macroscopic non-equilibrium thermodynamics in dynamic calorimetry

abstract:
  What is really measured in dynamic calorimetric experiments is still an open
question. This paper is devoted to this question, which can be usefully
envisaged by means of macroscopic non-equilibrium thermodynamics. From the
pioneer work of De Donder on chemical reactions and with other authors along
the 20th century, the question is tackled under an historical point of view. A
special attention is paid about the notions of frequency dependent complex heat
capacity and entropy production due to irreversible processes occurring during
an experiment. This phenomenological approach based on thermodynamics, not
widely spread in the literature of calorimetry, could open significant
perspectives on the study of macro-systems undergoing physico-chemical
transformations probed by dynamic calorimetry.


title:
The Borel conjecture for manifolds with virtually solvable fundamental
  groups

abstract:
  The article has been withdrawn by the author. Wolfgang Lueck and Peter
Linnell pointed out that the proof of Lemma 3.8 does not apply to the
unrestricted case of wreath product. It is not clear at this stage how to
complete the proof of Theorem 3.1 using the present version of Lemma 3.8. The
valid results originating from this article will be added in a later paper.


title:
Ordered spin-ice state in the geometrically frustrated
  metallic-ferromagnet Sm2Mo2O7

abstract:
  The recent discovery of Spin-ice is a spectacular example of non-coplanar
spin arrangements that can arise in the pyrochlore A2B2O7 structure. We present
magnetic and thermodynamic studies on the metallic-ferromagnet pyrochlore
Sm2Mo2O7. Our studies, carried out on oriented crystals, suggest that the Sm
spins have an ordered spin-ice ground state below about T* = 15 K. The
temperature- and field-evolution of the ordered spin-ice state are governed by
an antiferromagnetic coupling between the Sm and Mo spins. We propose that as a
consequence of a robust feature of this coupling, the tetrahedra aligned with
the external field adopt a "1-in, 3-out" spin structure as opposed to "3-in,
1-out" in dipolar spin ices, as the field exceeds a critical value.


title: X-Ray Spectroscopy of SN 1006 with Suzaku

abstract:
  We report on observations of SN 1006 with the X-ray Imaging Spectrometers
(XIS) on board Suzaku. We firmly detected K-shell emission from Fe, for the
first time, and find that the Fe ionization state is quite low. The broad band
spectrum extracted from the southeast of the remnant is well fitted with a
model consisting of three optically thin thermal non-equilibrium ionization
plasmas and a power-law component. Two of the thermal models are highly
overabundant in heavy elements and, hence, are likely due to ejecta. These
components have different ionization parameters: $n_et \sim 1.4\times 10^{10}$
cm$^{-3}$ s and $n_et \sim 7.7\times 10^8$ cm$^{-3}$ s and it is the later one
that produces the Fe-K emission. This suggests that Fe has been heated by the
reverse shock more recently than the other elements, consistent with a picture
where the ejecta are stratified by composition with Fe in the interior. On the
other hand, the third thermal component is assumed to be solar abundance, and
we associate it with emission from the interstellar medium (ISM). The electron
temperature and ionization parameter are $kT_e \sim $0.5 keV and $n_et \sim
5.8\times 10^9$ cm$^{-3}$ s. The electron temperature is lower than that
expected from the shock velocity which suggests a lack of collisionless
electron heating at the forward shock. The extremely low ionization parameter
and extreme non-equilibrium state are due to the low density of the ambient
medium.


title:
Established pseudo solution of second-order Dirac-Coulomb equation with
  position-dependent mass

abstract:
  We show that one of exact solutions of the second-order Dirac-Coulomb
equation were pseudo. In the corresponding original literature, it was
considered that the mass of the electron with a Coulomb potential was
position-dependent, but the obtained eigenvalues set was not the inevitable
mathematical deduction of the given second-order Dirac equation, and the
second-order Dirac equations were not the inevitable mathematical deduction of
the given couplet first-order Dirac equation with the position-dependent mass
of the electron. In the present paper, we obtain the correct solution of the
introduced first-order differential equations. This new solution would be
tenable only when the wave equation is correct, but there is not any experiment
date to validate the so-called position-dependent of the electron in the
Coulomb field.


title:
Free energy density for mean field perturbation of states of a
  one-dimensional spin chain

abstract:
  Motivated by recent developments on large deviations in states of the spin
chain, we reconsider the work of Petz, Raggio and Verbeure in 1989 on the
variational expression of free energy density in the presence of a mean field
type perturbation. We extend their results from the product state case to the
Gibbs state case in the setting of translation-invariant interactions of finite
range. In the special case of a locally faithful quantum Markov state, we
clarify the relation between two different kinds of free energy densities (or
pressure functions).


title:
Integrating cavity quantum electrodynamics and ultracold-atom chips with
  on-chip dielectric mirrors and temperature stabilization

abstract:
  We have fabricated an atom chip device which combines the circuitry for
magnetic trapping of cold atoms with high-finesse optical resonators suitable
for cavity QED in the single-atom strong coupling regime. Fabry-Perot optical
resonators with finesse F > 2 X 10^5 were formed between a micropatterned
on-chip planar mirror with lateral dimension of < 100 um and a curved mirror
suspended above the chip. The strong and rapid thermal coupling between on-chip
electrical and optical elements was utilized to stabilize the cavity mirror
separation with servo bandwidth exceeding 100 kHz during simulated operation of
the atom chip.


title:
Energy gap measurement of nanostructured thin aluminium films for use in
  single Cooper-pair devices

abstract:
  Within the context of superconducting gap engineering, Al-\alox-Al tunnel
junctions have been used to study the variation in superconducting gap,
$\Delta$, with film thickness. Films of thickness 5, 7, 10 and 30 nm were used
to form the small area superconductor-insulator-superconductor (SIS) tunnel
junctions. In agreement with previous measurements we have observed an increase
in the superconducting energy gap of aluminium with a decrease in film
thickness. In addition, we find grain size in small area films with thickness
\textbf{$\geq$} 10 nm has no appreciable effect on energy gap. Finally, we
utilize 7 and 30 nm films in a single Cooper-pair transistor, and observe the
modification of the finite bias transport processes due to the engineered gap
profile.


title: Directed percolation criticality in turbulent liquid crystals

abstract:
  We experimentally investigate the critical behavior of a phase transition
between two topologically different turbulent states of electrohydrodynamic
convection in nematic liquid crystals. The statistical properties of the
observed spatiotemporal intermittency regimes are carefully determined,
yielding a complete set of static critical exponents in full agreement with
those defining the directed percolation class in (2+1) dimensions. This
constitutes the first clear and comprehensive experimental evidence of an
absorbing phase transition in this prominent non-equilibrium universality
class.


title:
Scaling of hysteresis loops at phase transitions into a quasiabsorbing
  state

abstract:
  Models undergoing a phase transition to an absorbing state weakly broken by
the addition of a very low spontaneous nucleation rate are shown to exhibit
hysteresis loops whose width $\Delta\lambda$ depends algebraically on the ramp
rate $r$. Analytical arguments and numerical simulations show that
$\Delta\lambda \sim r^{\kappa}$ with $\kappa = 1/(\beta'+1)$, where $\beta'$ is
the critical exponent governing the survival probability of a seed near
threshold. These results explain similar hysteresis scaling observed before in
liquid crystal convection experiments. This phenomenon is conjectured to occur
in a variety of other experimental systems.


title:
Non-perturbative renormalization of static-light four-fermion operators
  in quenched lattice QCD

abstract:
  We perform a non-perturbative study of the scale-dependent renormalization
factors of a multiplicatively renormalizable basis of $\Delta{B}=2$ parity-odd
four-fermion operators in quenched lattice QCD. Heavy quarks are treated in the
static approximation with various lattice discretizations of the static action.
Light quarks are described by non-perturbatively ${\rm O}(a)$ improved
Wilson-type fermions. The renormalization group running is computed for a
family of Schroedinger functional (SF) schemes through finite volume techniques
in the continuum limit. We compute non-perturbatively the relation between the
renormalization group invariant operators and their counterparts renormalized
in the SF at a low energy scale. Furthermore, we provide non-perturbative
estimates for the matching between the lattice regularized theory and all the
SF schemes considered.


title: A Formation Mechanism of Collapsar Black Hole -- early evolution phase

abstract:
  The latest studies of massive star evolution indicate that an initially
rapidly rotating star with sufficiently low metallicity can produce a rapidly
rotating, massive stellar core that could be a progenitor of long-soft
gamma-ray bursts (LGRBs). Motivated by these studies, we follow the collapse of
a rapidly rotating massive stellar core to a 'collapsar' black hole (BH)
surrounded by a massive, hot accretion disk performing fully general
relativistic simulations. We focus on the general relativistic dynamics of the
collapse, and the relevant microphysics is treated in a qualitative manner. The
simulations are performed until the system consisting of the BH and the disk
has relaxed to a quasi-stationary state. A novel mechanism found in this study
is that strong shock waves are formed at the inner part of the disk after the
formation of the BH. These shock waves propagate mainly along the rotation
axis, heating the disk and sweeping materials around the rotational axis, and
thereby forming a low density region. The temperature of the disk is high
enough for copious neutrino emission. All these features indicate that the
direct formation of a rapidly rotating BH is a promising source of LGRBs even
in the absence of strong magnetic fields.


title:
Phonon-assisted decoherence in the production of polarization-entangled
  photons in a single semiconductor quantum dot

abstract:
  We theoretically investigate the production of polarization-entangled photons
through the biexciton cascade decay in a single semiconductor quantum dot. In
the intermediate state the entanglement is encoded in the polarizations of the
first emitted photon and the exciton, where the exciton state can be
effectively ``measured'' by the solid state environment through the formation
of a lattice distortion. We show that the resulting loss of entanglement
becomes drastically enhanced if the phonons contributing to the lattice
distortion are subject to elastic scatterings at the device boundaries, which
might constitute a serious limitation for quantum-dot based entangled-photon
devices.


title: Glitches in Anomalous X-ray Pulsars

abstract:
  (Abridged) We report on 8.7 and 7.6 yr of RXTE observations of the Anomalous
X-ray Pulsars (AXPs) RXS J170849.0-400910 and 1E 1841-045, respectively. These
observations, part of a larger RXTE AXP monitoring program, have allowed us to
study the long-term timing, pulsed flux, and pulse profile evolution of these
objects. We report on four new glitches, one from RXS J170849.0-400910 and
three from 1E 1841-045. With nearly all known persistent AXPs now seen to
glitch, such behavior is clearly generic to this source class. We show that in
terms of fractional frequency change, AXPs are among the most actively
glitching neutron stars. However, in terms of absolute glitch amplitude, AXP
glitches are unremarkable. We show that the largest AXP glitches observed thus
far have recoveries that are unusual among those of radio pulsar glitches, with
the combination of recovery time scale and fraction yielding changes in
spin-down rates following the glitch similar to, or larger than, the long-term
average. We also observed a large long-term fractional increase in the
magnitude of the spin-down rate of 1E 1841-045 following its largest glitch.
These observations are challenging to interpret in standard glitch models, as
is the frequent occurence of large glitches given AXPs' high measured
temperatures. We speculate that the stellar core may be involved in the largest
AXP glitches. Furthermore, we show that AXP glitches appear to fall in two
classes: radiatively loud and radiatively quiet. The latter, of which the
glitches of J170849.0-400910 and 1E 1841-045 are examples, show little evidence
for an accompanying radiative event. We also show, however, that pulse profile
and pulsed flux changes are common in these AXPs, but do not apprear closely
correlated with any timing behavior.


title: Adaptive dynamics in logistic branching populations

abstract:
  We consider a trait-structured population subject to mutation, birth and
competition of logistic type, where the number of coexisting types may
fluctuate. Applying a limit of rare mutations to this population while keeping
the population size finite leads to a jump process, the so-called `trait
substitution sequence', where evolution proceeds by successive invasions and
fixations of mutant types. The probability of fixation of a mutant is
interpreted as a fitness landscape that depends on the current state of the
population. It was in adaptive dynamics that this kind of model was first
invented and studied, under the additional assumption of large population.
Assuming also small mutation steps, adaptive dynamics' theory provides a
deterministic ODE approximating the evolutionary dynamics of the dominant trait
of the population, called `canonical equation of adaptive dynamics'. In this
work, we want to include genetic drift in this models by keeping the population
finite. Rescaling mutation steps (weak selection) yields in this case a
diffusion on the trait space that we call `canonical diffusion of adaptive
dynamics', in which genetic drift (diffusive term) is combined with directional
selection (deterministic term) driven by the fitness gradient. Finally, in
order to compute the coefficients of this diffusion, we seek explicit
first-order formulae for the probability of fixation of a nearly neutral mutant
appearing in a resident population. These formulae are expressed in terms of
`invasibility coefficients' associated with fertility, defense, aggressiveness
and isolation, which measure the robustness (stability w.r.t. selective
strengths) of the resident type. Some numerical results on the canonical
diffusion are also given.


title:
Decay estimates of a tangential derivative to the light cone for the
  wave equation and their application

abstract:
  We consider wave equations in three space dimensions, and obtain new weighted
$L^\infty$-$L^\infty$ estimates for a tangential derivative to the light cone.
As an application, we give a new proof of the global existence theorem, which
was originally proved by Klainerman and Christodoulou, for systems of nonlinear
wave equations under the null condition. Our new proof has the advantage of
using neither the scaling nor the pseudo-rotation operators.


title:
Multimode analysis of the light emitted from a pulsed optical parametric
  oscillator

abstract:
  We present a multimode treatment of the optical parametric oscillator, which
is valid for both pulsed and continuous-wave pump fields. The two-time
correlation functions of the output field are derived, and we apply the theory
to analyze a scheme for heralded production of non-classical field states that
may be subsequently stored in an atomic quantum memory.


title: Explicit formulas for biharmonic submanifolds in Sasakian space forms

abstract:
  We classify the biharmonic Legendre curves in a Sasakian space form, and
obtain their explicit parametric equations in the $(2n+1)$-dimensional unit
sphere endowed with the canonical and deformed Sasakian structures defined by
Tanno. Then, composing with the flow of the Reeb vector field, we transform a
biharmonic integral submanifold into a biharmonic anti-invariant submanifold.
Using this method we obtain new examples of biharmonic submanifolds in spheres
and, in particular, in $\mathbb{S}^{7}$.


title: The Domino Problem of the Hyperbolic Plane Is Undecidable

abstract:
  In this paper, we prove that the general tiling problem of the hyperbolic
plane is undecidable by proving a slightly stronger version using only a
regular polygon as the basic shape of the tiles. The problem was raised by a
paper of Raphael Robinson in 1971, in his famous simplified proof that the
general tiling problem is undecidable for the Euclidean plane, initially proved
by Robert Berger in 1966.


title: The entanglement of the XY spin chain in a random magnetic field

abstract:
  We investigate the entanglement of the ferromagnetic XY model in a random
magnetic field at zero temperature and in the uniform magnetic field at finite
temperatures. We use the concurrence to quantify the entanglement. We find
that, in the ferromagnetic region of the uniform magnetic field $h$, all the
concurrences are \textit{generated} by the random magnetic field and by the
thermal fluctuation. In one particular region of $h$, the next-nearest neighbor
concurrence is generated by the random field but not at finite temperatures. We
also find that the qualitative behavior of the maximum point of the
entanglement in the random magnetic field depends on whether the variance of
its distribution function is finite or not.


title:
Variational Principles for Constrained Electromagnetic Field and
  Papapetrou Equation

abstract:
  In our previous article [4] an approach to derive Papapetrou equations for
constrained electromagnetic field was demonstrated by use of field variational
principles. The aim of current work is to present more universal technique of
deduction of the equations which could be applied to another types of
non-scalar fields. It is based on Noether theorem formulated in terms of
Cartan' formalism of orthonormal frames. Under infinitesimal coordinate
transformation the one leads to equation which includes volume force of
spin-gravitational interaction. Papapetrou equation for vector of propagation
of the wave is derived on base of the equation. Such manner of deduction allows
to formulate more accurately the constraints and clarify equations for the
potential and for spin.


title: Harmonic analysis of additive Levy processes

abstract:
  Let $X_1,...,X_N$ denote $N$ independent $d$-dimensional L\'evy processes,
and consider the $N$-parameter random field \[\X(\bm{t}):=
X_1(t_1)+...+X_N(t_N).\] First we demonstrate that for all nonrandom Borel sets
$F\subseteq\R^d$, the Minkowski sum $\X(\R^N_+)\oplus F$, of the range
$\X(\R^N_+)$ of $\X$ with $F$, can have positive $d$-dimensional Lebesgue
measure if and only if a certain capacity of $F$ is positive. This improves our
earlier joint effort with Yuquan Zhong \ycite{KXZ:03} by removing a
symmetry-type condition there. Moreover, we show that under mild regularity
conditions, our necessary and sufficient condition can be recast in terms of
one-potential densities. This rests on developing results in classical
[non-probabilistic] harmonic analysis that might be of independent interest. As
was shown in \fullocite{KXZ:03}, the potential theory of the type studied here
has a large number of consequences in the theory of L\'evy processes. We
present a few new consequences here.


title:
Probing new physics in the Neutrinoless double beta decay using electron
  angular correlation

abstract:
  The angular correlation of the electrons emitted in the neutrinoless double
beta decay ($0\nu2\beta$) is presented using a general Lorentz invariant
effective Lagrangian for the leptonic and hadronic charged weak currents. We
show that the coefficient $K$ in the angular correlation $d\Gamma/d\cos \theta
\propto (1-K\cos \theta)$ is essentially independent of the nuclear matrix
element models and present its numerical values for the five nuclei of interest
($^{76}{Ge}$, $^{82}{Se}$, $^{100}{Mo}$, $^{130}{Te}$, and $^{136}{Xe}$),
assuming that the $0\nu2\beta$-decays in these nuclei are induced solely by a
light Majorana neutrino, $\nu_M$. This coefficient varies between $K=0.81$ (for
the $^{76}{Ge}$ nucleus) and $K=0.88$ (for the $^{82}{Se}$ and $^{100}{Mo}$
nuclei), calculated taking into account the effects from the nucleon recoil,
the $S$ and $P$-waves for the outgoing electrons and the electron mass.
Deviation of $K$ from its values derived here would indicate the presence of
New Physics (NP) in addition to a light Majorana neutrino, and we work out the
angular coefficients in several $\nu_M + {NP}$ scenarios for the $^{76}{Ge}$
nucleus. As an illustration of the correlations among the $0\nu2\beta$
observables (half-life $T_{1/2}$, the coefficient $K$, and the effective
Majorana neutrino mass $|< m>|$) and the parameters of the underlying NP model,
we analyze the left-right symmetric models, taking into account current
phenomenological bounds on the right-handed $W_R$-boson mass and the left-right
mixing parameter $\zeta$.


title: WMAPping the Inflationary Universe

abstract:
  An epoch of accelerated expansion, or inflation, in the early universe solves
several cosmological problems. While there are many models of inflation only
recently has it become possible to discriminate between some of the models
using observations of the cosmic microwave background radiation and large-scale
structure. In this talk, we discuss inflation and its observational
consequences, and then the status of current cosmological observations and
their implications for different models of inflation.


title: Study of the decay mechanism for B+ to p pbar K+ and B+ to p pbar pi+

abstract:
  We study the characteristics of the low mass ppbar enhancements near
threshold in the three-body decays B+ to p pbar K+ and B+ to p pbar pi+. We
observe that the proton polar angle distributions in the ppbar helicity frame
in the two decays have the opposite polarity, and measure the forward-backward
asymmetries as a function of the ppbar mass for the p pbar K+ mode. We also
search for the intermediate two-body decays, B+ to pbar Delta++ and B+ to p
Delta0bar, and set upper limits on their branching fractions. These results are
obtained from a 414 fb^{-1} data sample that contains 449 times 10^6 BBbar
events collected near the Upsilon(4S) resonance with the Belle detector at the
KEKB asymmetric-energy e+ e- collider.


title:
Symmetry invariance, anticommutativity and nilpotency in BRST approach
  to QED: superfield formalism

abstract:
  We provide the geometrical interpretation for the Becchi-Rouet-Stora-Tyutin
(BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3
+ 1)-dimensional (4D) interacting U(1) gauge theory within the framework of
superfield approach to BRST formalism. This interacting theory, where there is
an explicit coupling between the U(1) gauge field and matter (Dirac) fields, is
considered on a (4, 2)-dimensional supermanifold parametrized by the four
spacetime variables x^\mu (\mu = 0, 1, 2, 3) and a pair of Grassmannian
variables \theta and \bar\theta (with \theta^2 = \bar \theta^2 = 0, \theta
\bar\theta + \bar \theta \theta = 0$). We express the Lagrangian density and
(anti-)BRST charges in the language of the superfields and show that (i) the
(anti-)BRST invariance of the 4D Lagrangian density is equivalent to the
translation of the super Lagrangian density along the Grassmannian direction(s)
(\theta and/or \bar\theta) of the (4, 2)-dimensional supermanifold such that
the outcome of the above translation(s) is zero, and (ii) the anticommutativity
and nilpotency of the (anti-)BRST charges are the automatic consequences of our
superfield formulation.


title: Subsampling needlet coefficients on the sphere

abstract:
  In a recent paper, we analyzed the properties of a new kind of spherical
wavelets (called needlets) for statistical inference procedures on spherical
random fields; the investigation was mainly motivated by applications to
cosmological data. In the present work, we exploit the asymptotic uncorrelation
of random needlet coefficients at fixed angular distances to construct
subsampling statistics evaluated on Voronoi cells on the sphere. We illustrate
how such statistics can be used for isotropy tests and for bootstrap estimation
of nuisance parameters, even when a single realization of the spherical random
field is observed. The asymptotic theory is developed in detail in the high
resolution sense.


title: Hilbert++ Manual

abstract:
  We present here an installation guide, a hand-on mini-tutorial through
examples, and the theoretical foundations of the Hilbert++ code.


title:
Local dark energy: HST evidence from the vicinity of the M 81/M 82
  galaxy group

abstract:
  The Hubble Space Telescope observations of the nearby galaxy group M 81/M 82
and its vicinity indicate that the expansion outflow around the group is
dominated by the antigravity of the dark energy background. The local density
of dark energy in the area is estimated to be near the global dark energy
density or perhaps exactly equal to it. This conclusion agrees with our
previous results for the Local group vicinity and the vicinity of the Cen A/M
83 group.


title:
Spin configuration in a frustrated ferromagnetic/antiferromagnetic thin
  film system

abstract:
  We have studied the magnetic configuration in ultrathin antiferromagnetic Mn
films grown around monoatomic steps on an Fe(001) surface by spin-polarized
scanning tunneling microscopy/spectroscopy and ab-initio-parametrized
self-consistent real-space tight binding calculations in which the spin
quantization axis is independent for each site thus allowing noncollinear
magnetism. Mn grown on Fe(001) presents a layered antiferromagnetic structure.
In the regions where the Mn films overgrows Fe steps the magnetization of the
surface layer is reversed across the steps. Around these defects a frustration
of the antiferromagnetic order occurs. Due to the weakened magnetic coupling at
the central Mn layers, the amount of frustration is smaller than in Cr and the
width of the wall induced by the step does not change with the thickness, at
least for coverages up to seven monolayers.


title: FPCP Theory Overview

abstract:
  We first review some aspects of the determination of the sides and angles of
the unitarity triangle. We pay particular attention to theory shortcomings, and
present many alternative proposals for the determination of |Vub| (which at
present is problematic). We then turn our attention to the more general
question: What have we learned so far about flavor physics and where do we go
from here? We argue that the aim of Flavor Physics should be to establish or
rule out Minimal Flavor Violating interactions up to a scale of 10 TeV.


title:
Lattice Boltzmann simulations of spontaneous flow in active liquid
  crystals: the role of boundary conditions

abstract:
  Active liquid crystals or active gels are soft materials which can be
physically realised e.g. by preparing a solution of cytoskeletal filaments
interacting with molecular motors. We study the hydrodynamics of an active
liquid crystal in a slab-like geometry with various boundary conditions, by
solving numerically its equations of motion via lattice Boltzmann simulations.
In all cases we find that active liquid crystals can sustain spontaneous flow
in steady state contrarily to their passive counterparts, and in agreement with
recent theoretical predictions. We further find that conflicting anchoring
conditions at the boundaries lead to spontaneous flow for any value of the
'activity' parameter, while with unfrustrated anchoring at all boundaries
spontaneous flow only occurs when the activity exceeds a critical threshold. We
finally discuss the dynamic pathway leading to steady state in a few selected
cases.


title: Heuristics for Network Coding in Wireless Networks

abstract:
  Multicast is a central challenge for emerging multi-hop wireless
architectures such as wireless mesh networks, because of its substantial cost
in terms of bandwidth. In this report, we study one specific case of multicast:
broadcasting, sending data from one source to all nodes, in a multi-hop
wireless network. The broadcast we focus on is based on network coding, a
promising avenue for reducing cost; previous work of ours showed that the
performance of network coding with simple heuristics is asymptotically optimal:
each transmission is beneficial to nearly every receiver. This is for
homogenous and large networks of the plan. But for small, sparse or for
inhomogeneous networks, some additional heuristics are required. This report
proposes such additional new heuristics (for selecting rates) for broadcasting
with network coding. Our heuristics are intended to use only simple local
topology information. We detail the logic of the heuristics, and with
experimental results, we illustrate the behavior of the heuristics, and
demonstrate their excellent performance.


title: Entanglement Transfer Through an Antiferromagnetic Spin Chain

abstract:
  We study the possibility of using an uniformly coupled finite
antiferromagnetic spin-1/2 Heisenberg chain as a channel for transmitting
entanglement. One member of a pair of maximally entangled spins is initially
appended to one end of a chain in its ground state and the dynamical
propagation of this entanglement to the other end is calculated. We show that
compared to the analogous scheme with a ferromagnetic chain in its ground
state, here the entanglement is transmitted faster, with less decay, with a
much higher purity and as a narrow pulse form rising non-analytically from
zero. Here non-zero temperatures and depolarizing environments are both found
to be less destructive in comparison to the ferromagnetic case. The
entanglement is found to propagate through the chain in a peculiar fashion
whereby it hops to skip alternate sites.


title:
\C-flows A^z of linear maps A expressed in terms of
  A^{-1},A^{-2},...,A^{-n} and analytic functions of z

abstract:
  Suppose A\in GL_n(\C) has a relation A^p=c_{p-1}A^{p-1}+.... + c_1 A+ c_0I
where the c_i in \C. This article describes how to construct analytic functions
c_i(z) such that A^z=c_{p-1}(z)A^{p-1}+... + c_1(z) A+ c_0(z)I . One of the
theorems gives a possible description of the c_i(z): c_i(z)=C^z\alpha where
C\in Mat_p(\C) is (similar to) the companion matrix of X^p-c_{p-1}X^{p-1}-...
-c_1X-c_0I, and \alpha:= (c_{p-1},...,c_1,c_0)^t.


title: Lattice polytopes of degree 2

abstract:
  A theorem of Scott gives an upper bound for the normalized volume of lattice
polygons with exactly $i>0$ interior lattice points. We will show that the same
bound is true for the normalized volume of lattice polytopes of degree 2 even
in higher dimensions. In particular, there is only a finite number of quadratic
polynomials with fixed leading coefficient being the $h^*$-polynomial of a
lattice polytope.


title: Overview: Sides of the Unitarity Triangle

abstract:
  This is an opening talk for the workshop and is intended to be provocative.
We take a stab at the following questions: How well do we really know the sides
of the unitarity triangle? What else could we do to improve? (I propose several
new measurements). What precision should we ultimately aim at in the
determination of CKM elements? What have we learned so far about flavor
physics? Where do we go from here?


title: Universal Grammar and Consciousness

abstract:
  The orthodox interpretation of quantum theory treats the subject and the
object on an equal footing. It has been suggested that the cyclical-time
process, which resolves self-reference in consciousness, interconnects the
observed universe and the mind of the subject. Based on the analogy between
cryptography and language, the concept of the common innate structure of
language, also known as universal grammar, may be associated with the
continuity in consciousness. Extending this connection, Levi-Strauss's proposal
on universal culture may be considered as a shared structure of continuity
among the consciousness of multiple subjects.


title:
A characterization property on field equivalent to algebraicity on
  Banach spaces

abstract:
  In his article "A discrete form of the theorem that each field endomorphism
of $\mathbb{R}$ ($\mathbb{Q}_p$) is the identity", Tyszka introduce a logical
property which is equivalent to algebraicity in $\mathbb{R}$ and in
$\mathbb{Q}_p$. Amazingly, the property is no longer equivalent to algebraicity
in $\mathbb{C}$. This article present a similirar property which is equivalent
to algebraicity in any field of characteristic zero which is also a Banach
space, and prove a weaker equivalency for fields of positive charcteristic
(which are also Banach spaces).


title: Experimental tests of small-x QCD

abstract:
  Current and future experimental studies of the high-energy limit of QCD,
dominated by non-linear gluon dynamics in the low-x sector of the hadron
wavefunctions, are presented. Results at HERA (proton) and RHIC (nucleus)
pointing to the possible onset of parton saturation phenomena, and perspectives
at the LHC and new proposed DIS facilities are outlined.


title: Infinitely generated Derksen and Makar-Limanov invariant

abstract:
  In this paper, we give an example of a finitely generated 3-dimensional
C-algebra which has infinitely generated Derksen invariant as well as
Makar-Limaonv invariant.


title:
Constructing (almost) rigid rings and a UFD having infinitely generated
  Derksen and Makar-Limanov invariant

abstract:
  An example is given of a UFD which has infinitely generated Derksen
invariant. The ring is \textquotedblleft almost rigid\textquotedblright\
meaning that the Derksen invariant is equal to the Makar-Limanov invariant.
Techniques to show that a ring is (almost) rigid are discussed, among which is
a generalization of Mason's abc-theorem.


title: Minimal Flavor Violation

abstract:
  If new physics is called upon to explain away fine tunings, like the
hierarchy problem, then, we argue, the principle of Minimal Flavor Violation is
inescapable. We review the principle and recent extensions to the lepton sector
and to Grand-Unified theories.


title: Zero-Bidimension and Various Classes of Bitopological Spaces

abstract:
  The sum theorem and its corollaries are proved for a countable family of
zero-dimensional (in the sense of small and large inductive bidimensions)
p-closed sets, using a new notion of relative normality whose topological
correspondent is also new. The notion of almost $n$-dimensionality is
considered from the bitopological point of view.
  Bitopological spaces in which every subset is i-open in its $j$-closure
(i.e.,(i,j)-submaximal spaces) are introduced and their properties are studied.
Based on the investigations begun in [5] and [14], sufficient conditions are
found for bitopological spaces to be(1,2)-Baire in the class of p-normal
spaces. Furthermore, (i,j)-I-spaces are introduced and both the relations
between(i,j)-submaximal, (i,j)-nodec and (i,j)-I-spaces, and their properties
are studied when two topologies on a set are either independent of each other
or interconnected by the inclusion, S-, C- and N-relations or by their
combinations.
  The final part of the paper deals with the questions of preservation of
$(i,j)$-submaximal and $(2,1)\dd I$-spaces to an image, of $D$-spaces to an
image and an inverse image for both the topological and the bitopological
cases. Two theorems are formulated containing, on the one hand, topological
conditions and, on the other hand, bitopological ones, under which a
topological space is a $D$-space.


title:
The Automorphism Group of Certain Factorial Threefolds and a
  Cancellation Problem

abstract:
  The automorphism groups of certain factorial complex affine threefolds
admitting locally trivial actions of the additive group are determined. As a
consequence new counterexamples to a generalized cancellation problem are
obtained.


title: Holography and Cosmological Singularities

abstract:
  Certain null singularities in ten dimensional supergravity have natural
holographic duals in terms of Matrix Theory and generalizations of the AdS/CFT
correspondence. In many situations the holographic duals appear to be well
defined in regions where the supergravity develops singularities. We describe
some recent progress in this area.


title:
Stable-Range Approach to the Equation of Nonstationary Transonic Gas
  Flows

abstract:
  Using certain finite-dimensional stable range of the nonlinear terms, we
obtain large families of exact solutions parameterized by functions for the
equation of nonstationary transonic gas flows discovered by Lin, Reisner and
Tsien, and its three-dimensional generalization.

categories: physics.flu-dyn math-ph math.AP math.MP nlin.SI


title: SiZer for time series: A new approach to the analysis of trends

abstract:
  Smoothing methods and SiZer are a useful statistical tool for discovering
statistically significant structure in data. Based on scale space ideas
originally developed in the computer vision literature, SiZer (SIgnificant ZERo
crossing of the derivatives) is a graphical device to assess which observed
features are `really there' and which are just spurious sampling artifacts. In
this paper, we develop SiZer like ideas in time series analysis to address the
important issue of significance of trends. This is not a straightforward
extension, since one data set does not contain the information needed to
distinguish `trend' from `dependence'. A new visualization is proposed, which
shows the statistician the range of trade-offs that are available. Simulation
and real data results illustrate the effectiveness of the method.


title: Kaluza--Klein excitations of gauge bosons at the LHC

abstract:
  We consider the Randall-Sundrum extra dimensional model with fields
propagating in the bulk based on an extended electroweak gauge symmetry with
specific fermion charges and localizations that allow to explain the LEP
anomaly of the forward--backward asymmetry for $b$--quarks, $A_{FB}^b$. We
study the manifestations of the strongly--interacting and electroweak gauge
boson Kaluza--Klein excitations $\vkk$ at the LHC, with masses of the order of
a few TeV, which dominantly decays into top and bottom quark pairs. We first
analyze the two--body tree--level production processes $pp \to t\bar t$ and
$b\bar b$ in which the Kaluza--Klein (KK) excitations of gauge bosons are
exchanged. We find that the additional channels can lead to a significant
excess of events with respect to the Standard Model prediction; characteristic
top quark polarization and angular asymmetries are quantitatively studied and
turn out to probe the chiral structure of couplings to excited states. We then
analyze higher order production processes for the gauge boson excitations which
have too weak or no couplings to light quarks and, in particular, the loop
induced process $gg \to \vkk \to t\bar t$ and $b\bar b$ in which the anomalous
$gg \vkk $ four--dimensional vertex has to be regulated. The RS effects in this
process, as well as in the four--body reactions $pp \to t\bar t b\bar b$,
$t\bar t t\bar t$, $b\bar b b\bar b$ and in the related three--body reactions
$gb \to b t \bar t$, $b b\bar b$, in which the $\vkk$ excitations are mainly
radiated off the eavy quarks, are shown to be potentially difficult to test at
LHC, due to small hase space and low parton density for $\mkk \gsim 3$ TeV.


title:
Equation of State for Macromolecules of Variable Flexibility in Good
  Solvents: A Comparison of Techniques for Monte Carlo Simulations of Lattice
  Models

abstract:
  The osmotic equation of state for the athermal bond fluctuation model on the
simple cubic lattice is obtained from extensive Monte Carlo simulations. For
short macromolecules (chain length N=20) we study the influence of various
choices for the chain stiffness on the equation of state. Three techniques are
applied and compared in order to critically assess their efficiency and
accuracy: the repulsive wall method, the thermodynamic integration method
(which rests on the feasibility of simulations in the grand canonical
ensemble), and the recently advocated sedimentation equilibrium method, which
records the density profile in an external (e.g. gravitation-like) field and
infers, via a local density approximation, the equation of state from the
hydrostatic equilibrium condition. We confirm the conclusion that the latter
technique is far more efficient than the repulsive wall method, but we find
that the thermodynamic integration method is similarly efficient as the
sedimentation equilibrium method. For very stiff chains the onset of nematic
order enforces the formation of isotropic-nematic interface in the
sedimentation equilibrium method leading to strong rounding effects and
deviations from the true equation of state in the transition regime.


title: Transportation-information inequalities for Markov processes

abstract:
  In this paper, one investigates the following type of
transportation-information $T_cI$ inequalities: $\alpha(T_c(\nu,\mu))\le
I(\nu|\mu)$ for all probability measures $\nu$ on some metric space $(\XX, d)$,
where $\mu$ is a given probability measure, $T_c(\nu,\mu)$ is the
transportation cost from $\nu$ to $\mu$ with respect to some cost function
$c(x,y)$ on $\XX^2$, $I(\nu|\mu)$ is the Fisher-Donsker-Varadhan information of
$\nu$ with respect to $\mu$ and $\alpha: [0,\infty)\to [0,\infty]$ is some left
continuous increasing function. Using large deviation techniques, it is shown
that $T_cI$ is equivalent to some concentration inequality for the occupation
measure of a $\mu$-reversible ergodic Markov process related to $I(\cdot|\mu)$,
a counterpart of the characterizations of transportation-entropy inequalities,
recently obtained by Gozlan and L\'eonard in the i.i.d. case . Tensorization
properties of $T_cI$ are also derived.


title: Kinetics of indirect excitons in the optically-induced exciton trap

abstract:
  We report on the kinetics of a low-temperature gas of indirect excitons in
the optically-induced exciton trap. The excitons in the region of laser
excitation are found to rapidly -- within 4 ns -- cool to the lattice
temperature T = 1.4 K, while the excitons at the trap center are found to be
cold -- essentially at the lattice temperature -- even during the excitation
pulse. The loading time of excitons to the trap center is found to be about 40
ns, longer than the cooling time yet shorter than the lifetime of the indirect
excitons. The observed time hierarchy is favorable for creating a dense and
cold exciton gas in optically-induced traps and for in situ control of the gas
by varying the excitation profile in space and time before the excitons
recombine.


title: Flag Partial Differential Equations and Representations of Lie Algebras

abstract:
  In this paper, we solve the initial value problems of variable-coefficient
generalized wave equations associated with trees and a large family of linear
constant-coefficient partial differential equation by algebraic methods.
Moreover, we find all the polynomial solutions for a 3-dimensional
variable-coefficient flag partial differential equation of any order, the
linear wave equation with dissipation and the generalized anisymmetrical
Laplace equation. Furthermore, the polynomial-trigonometric solutions of a
generalized Klein-Gordan equation associated with 3-dimensional generalized
Tricomi operator $\ptl_x^2+x\ptl_y^2+y\ptl_z^2$ are also given. As applications
to representations of Lie algebras, we find certain irreducible polynomial
representations of the Lie algebras $sl(n,\mbb{F}), so(n,\mbb{F})$ and the
simple Lie algebra of type $G_2$.


title:
The paraboson Fock space and unitary irreducible representations of the
  Lie superalgebra osp(1|2n)

abstract:
  It is known that the defining relations of the orthosymplectic Lie
superalgebra osp(1|2n) are equivalent to the defining (triple) relations of n
pairs of paraboson operators $b^\pm_i$. In particular, with the usual star
conditions, this implies that the ``parabosons of order p'' correspond to a
unitary irreducible (infinite-dimensional) lowest weight representation V(p) of
osp(1|2n). Apart from the simple cases p=1 or n=1, these representations had
never been constructed due to computational difficulties, despite their
importance. In the present paper we give an explicit and elegant construction
of these representations V(p), and we present explicit actions or matrix
elements of the osp(1|2n) generators. The orthogonal basis vectors of V(p) are
written in terms of Gelfand-Zetlin patterns, where the subalgebra u(n) of
osp(1|2n) plays a crucial role. Our results also lead to character formulas for
these infinite-dimensional osp(1|2n) representations. Furthermore, by
considering the branching $ osp(1|2n) \supset sp(2n) \supset u(n)$, we find
explicit infinite-dimensional unitary irreducible lowest weight representations
of sp(2n) and their characters.

categories: hep-th math-ph math.GR math.MP math.RT quant-ph


title: On the Theory of Relative Bitopological and Topological Properties

abstract:
  In the first part of the work (Sections 2-6) a special attention is given to
relative separation axioms and relative connectedness, in particular, many
relative versions of p-T_0, p-T_1, p-T_2, (i,j)- and p-regularities, (i,j)- and
p-complete regularities, p-real normality and p-normality are discussed.
Moreover, relative properties of (i,j)- and p-compactness types, including
relative versions of (i,j)- and p-paracompactness, (i,j)- and p-Lindeofness,
(i,j)- and p-pseudocompactness are also introduced and investigated. The second
part (Sections 7-12) is devoted, on the one hand, to relative bitopological
inductive and covering dimension functions and, on the other hand, to relative
versions of Baire spaces for both the topological and the bitopological case.
  At the end, note that relative (bi)topological properties play a special role
not only in the development of respective theories, but also in the
strengthening of the previously known results.


title: Cosmological constraints on neutrino plus axion hot dark matter

abstract:
  We use observations of the cosmological large-scale structure to derive
limits on two-component hot dark matter consisting of mass-degenerate neutrinos
and hadronic axions, both components having velocity dispersions corresponding
to their respective decoupling temperatures. We restrict the data samples to
the safely linear regime, in particular excluding the Lyman-alpha forest. Using
standard Bayesian inference techniques we derive credible regions in the
two-parameter space of m_a and sum(m_nu). Marginalising over sum(m_nu) provides
m_a < 1.2 eV (95% C.L.). In the absence of axions the same data and methods
give sum(m_nu) < 0.65 eV (95% C.L.). We also derive limits on m_a for a range
of axion-pion couplings up to one order of magnitude larger or smaller than the
hadronic value.


title: Radial and vertical angular momentum transport in protostellar discs

abstract:
  Angular momentum in protostellar discs can be transported either radially,
through turbulence induced by the magnetorotational instability (MRI), or
vertically, through the torque exerted by a large-scale magnetic field. We
present a model of steady-state discs where these two mechanisms operate at the
same radius and derive approximate criteria for their occurrence in an
ambipolar diffusion dominated disc. We obtain "weak field'' solutions - which
we associate with the MRI channel modes in a stratified disc - and transform
them into accretion solutions with predominantly radial angular-momentum
transport by implementing a turbulent-stress prescription based on published
results of numerical simulations. We also analyze "intermediate field
strength'' solutions in which both radial and vertical transport operate at the
same radial location. Our results suggest, however, that this overlap is
unlikely to occur in real discs.


title: Few body Calculation of Neutrino Neutral Inelastic scattering on 4He

abstract:
  The inelastic neutral reaction of neutrino on 4He is calculated using two
modern nucleon--nucleon potentials. Full final state interaction among the four
nucleons is considered, via the Lorentz integral transform (LIT) method. The
effective interaction hyperspherical-harmonic (EIHH) approach is used to solve
the resulting Schrodinger like equations. A detailed energy dependent
calculation is given in the impulse approximation.


title:
Tree Diagram Lie Algebras of Differential Operators and Evolution
  Partial Differential Equations

abstract:
  A tree diagram is a tree with positive integral weight on each edge, which is
a notion generalized from the Dynkin diagrams of finite-dimensional simple Lie
algebras. We introduce two nilpotent Lie algebras and their extended solvable
Lie algebras associated with each tree diagram. The solvable tree diagram Lie
algebras turn out to be complete Lie algebras of maximal rank analogous to the
Borel subalgebras of finite-dimensional simple Lie algebras. Their abelian
ideals are completely determined. Using a high-order Campbell-Hausdorff formula
and certain abelian ideals of the tree diagram Lie algebras, we solve the
initial value problem of first-order evolution partial differential equations
associated with nilpotent tree diagram Lie algebras and high-order evolution
partial differential equations, including heat conduction type equations
related to generalized Tricomi operators associated with trees.


title: Coherence and Spatial Resolution of Transport in Quantum Cascade Lasers

abstract:
  The method of nonequilibrium Greens functions allows for a spatial and
energetical resolution of the electron current in Quantum Cascade Lasers. While
scattering does not change the spatial position of carriers, the entire spatial
evolution of charge can be attributed to coherent transport by complex wave
functions. We discuss the hierarchy of transport models and derive the density
matrix equations as well as the hopping model starting from the nonequilibrium
Greens functions approach.


title: Optimal curves of low genus over finite fields

abstract:
  The Hasse-Weil-Serre bound is improved for curves of low genera over finite
fields with discriminant in {-3,-4,-7,-8,-11,-19} by studying optimal curves.


title: Investigation of Pygmy Dipole Resonances in the Tin Region

abstract:
  The evolution of the low-energy electromagnetic dipole response with the
neutron excess is investigated along the Sn isotopic chain within an approach
incorporating Hartree-Fock-Bogoljubov (HFB) and multi-phonon
Quasiparticle-Phonon-Model (QPM) theory. General aspects of the relationship of
nuclear skins and dipole sum rules are discussed. Neutron and proton transition
densities serve to identify the Pygmy Dipole Resonance (PDR) as a generic mode
of excitation. The PDR is distinct from the GDR by its own characteristic
pattern given by a mixture of isoscalar and isovector components. Results for
the $^{100}$Sn-$^{132}$Sn isotopes and the several N=82 isotones are presented.
In the heavy Sn-isotopes the PDR excitations are closely related to the
thickness of the neutron skin. Approaching $^{100}$Sn a gradual change from a
neutron to a proton skin is found and the character of the PDR is changed
correspondingly. A delicate balance between Coulomb and strong interaction
effects is found. The fragmentation of the PDR strength in $^{124}$Sn is
investigated by multi-phonon calculations. Recent measurements of the dipole
response in $^{130,132}$Sn are well reproduced.


title: The extended Burnside ring and module categories

abstract:
  In this note an `extended Burnside ring' is defined, generated by classes of
semisimple module categories over Rep(G) with quasifibre functors. Here G is a
finite group and representations are taken over an algebraically closed field
of characteristic 0. It is shown that this is equivalent to a ring generated by
centrally extended G-sets and hence the name. Ring homomorphisms into the
multiplicative group of the field are computed with an explicit formula and
tables of these homomorphisms are given for the groups S_4 and S_5 which are of
particular interest in the context of reductive algebraic groups.
  -----
  L'anneau de Burnside \'etendu et cat\'egories de modules. Dans cette note un
`Anneau de Burnside \'etendu' est d\'efini, gener\'e par des classes de
cat\'egories de modules semisimples sur Rep(G) avec des foncteurs quasifibres.
Ici G est un groupe fini, et des repr\'esentations sont prises sur un corps
alg\'ebriquement clos de caract\'eristique nulle. Il est demontr\'e que ceci
\'equivaut \`a un anneau gener\'e par des G-ensembles centralement \'etendus,
d'o\`u le nom. Des homomorphismes d'anneau dans le groupe multiplicatif du
corps sont comput\'ees avec une formule explicite et des tableaux de ces
homomorphismes sont fournis pour les groupes S_4 et S_5 qui sont d'un
int\'er\^et particulier dans le contexte de groupes alg\'ebriques r\'eductifs.


title:
Calorons and dyons at the thermal phase transition analyzed by overlap
  fermions

abstract:
  In a pilot study, we use the topological charge density defined by the
eigenmodes of the overlap Dirac operator (with ultraviolet filtering by
mode-truncation) to search for lumps of topological charge in SU(2) pure gauge
theory. Augmenting this search with periodic and antiperiodic temporal boundary
conditions for the overlap fermions, we demonstrate that the lumps can be
classified either as calorons or as separate caloron constituents (dyons).
Inside the topological charge clusters the (smeared) Polyakov loop is found to
show the typical profile characteristic for calorons and dyons. This
investigation, motivated by recent caloron/dyon model studies, is performed at
the deconfinement phase transition for SU(2) gluodynamics on 20^3 x 6 lattices
described by the tadpole improved L\"uscher-Weisz action. The transition point
has been carefully located. As a necessary condition for the caloron/dyon
detection capability, we check that the LW action, in contrast to the Wilson
action, generates lattice ensembles, for which the overlap Dirac eigenvalue
spectrum smoothly behaves under smearing and under the change of the boundary
conditions.


title: Complex weak values in quantum measurement

abstract:
  In the weak measurement formalism of Y. Aharonov et al. the so-called weak
value A_w of any observable A is generally a complex number. We derive a
physical interpretation of its value in terms of the shift in the measurement
pointer's mean position and mean momentum. In particular we show that the mean
position shift contains a term jointly proportional to the imaginary part of
the weak value and the rate at which the pointer is spreading in space as it
enters the measurement interaction.


title:
Penetration of Andreev bound states into the ferromagnet in a
  SrRuO$_{3}$/(110)YBa$_2$Cu$_3$O$_{7-\delta}$ bilayer: a scanning tunneling
  spectroscopy study

abstract:
  Scanning tunneling spectroscopy of thin epitaxial
$SrRuO_{3}/(110)YBa_2Cu_3O_{7-\delta}$ ferromagnet/superconductor bilayers,
reveal a clear penetration of the Andreev bound states into the ferromagnetic
layer. The penetration is manifested in the density of states of the
ferromagnet as a split zero bias conductance peak with an imbalance between
peak heights. Our data indicate that the splitting occurs at the superconductor
side as a consequence of induced magnetization, confirming recent theoretical
predictions. The imbalance is attributed to the spin polarization in the
ferromagnet.


title:
Elastic relaxation during 2D epitaxial growth: a study of in-plane
  lattice spacing oscillations

abstract:
  The purpose of this paper is to report some new experimental and theoretical
results about the analysis of in-plane lattice spacing oscillations during
two-dimensional (2D) homo and hetero epitaxial growth. The physical origin of
these oscillations comes from the finite size of the strained islands. The 2D
islands may thus relax by their edges, leading to in-plane lattice spacing
oscillations during the birth and spread of these islands. On the one hand, we
formulate the problem of elastic relaxation of a coherent 2D epitaxial deposits
by using the concept of point forces and demonstrate that the mean deformation
in the islands exhibits an oscillatory behaviour. On the other hand, we
calculate the intensity diffracted by such coherently deposited 2D islands by
using a mean model of a pile-up of weakly deformed layers. The amplitude of
in-plane lattice spacing oscillations is found to depend linearly on the misfit
and roughly linearly on the nucleation density. We show that the nucleation
density may be approximated from the full-width at half maximum of the
diffracted rods at half coverages. The predicted dependence of the in-plane
lattice spacing oscillations amplitude with the nucleation density is thus
experimentally verified on V/Fe(001), Mn/Fe(001), Ni/Fe(001), Co/Cu(001) and
V/V(001).


title: Automorphic Forms and Reeb-Like Foliations on Three-Manifolds

abstract:
  In this paper, we consider different ways of generating dynamical systems on
3-manifolds. We first derive explicit differential equations for dynamical
systems defined on generic hyperbolic 3-manifolds by using automorphic function
theory to uniformize the upper half-space model. It is achieved via the
modification of the standard Poincare theta series to generate systems
invariant within each individual fundamental region such that the solution
trajectories match up on the appropriate sides after the identifications which
generate a hyperbolic 3-manifold. Then we consider the gluing pattern in the
conformal ball model. At the end we shall study the construction of dynamical
systems by using the Reeb foliation.


title: The formation of a detached shell around the carbon star Y CVn

abstract:
  Y CVn is a carbon star surrounded by a detached dust shell that has been
imaged by the Infrared Space Observatory at 90 microns. With the Nancay Radio
Telescope we have studied the gaseous counterpart in the 21-cm HI emission
line. New data have been acquired and allow to improve the signal to noise
ratio on this line. The high spectral resolution line profiles obtained at the
position of the star and at several offset positions set strong constraints on
the gas temperature and kinematics within the detached shell; the bulk of the
material should be at ~ 100-200 K and in expansion at ~ 1-2 km/s. In addition,
the line profile at the central position shows a quasi-rectangular pedestal
that traces an 8 km/s outflow of ~ 1.0 10^-7 Msol/yr, stable for about 2 10^4
years, which corresponds to the central outflow already studied with CO
rotational lines. We present a model in which the detached shell results from
the slowing-down of the stellar wind by surrounding matter. The inner radius
corresponds to the location where the stellar outflow is abruptly slowed down
from ~ 8 km/s to 2 km/s (termination shock). The outer radius corresponds to
the location where external matter is compressed by the expanding shell (bow
shock). In this model the mass loss rate of Y CVn has been set constant, at the
same level of 1.0 10^-7 Msol/yr, for ~ 4.5 10^5 years. The gas temperature
varies from ~ 1800 K at the inner limit to 165 K at the interface between
circumstellar matter and external matter. Our modelling shows that the presence
of a detached shell around an AGB star may not mean that a drastic reduction of
the mass loss rate has occurred in the past. The inner radius of such a shell
might only be the effect of a termination shock rather than of an interruption
of the mass loss process.


title: Shear Viscosity to Entropy within a Parton Cascade

abstract:
  The shear viscosity is calculated by means of the perturbative kinetic
partonic cascade BAMPS with CGC initial conditons for various saturation
momentum scale Q_s. eta/s ~ 0.15 stays approximately constant when going from
RHIC to LHC.


title:
Magneto-optic far-infrared study of Sr$_{14}$Cu$_{24}$O$_{41}$: triplet
  excitations in chains

abstract:
  Using far-infrared spectroscopy we have studied the magnetic field and
temperature dependence of the spin gap modes in the chains of
Sr$_{14}$Cu$_{24}$O$_{41}$. Two triplet modes T$_1$ and T$_2$ were found in the
center of the Brillouin zone at $\Delta_1=9.65$ meV and $\Delta_2=10.86$ meV in
zero magnetic field. The T$_1$ mode was excited when the electric field vector
${\bf E}$ of the light was polarized along the b axis (perpendicular to the
planes of chains and ladders) and T$_2$ was excited for ${\bf E}\parallel {\bf
a}$ (perpendicular to the chains and along the rungs). Up to the maximum
magnetic field of 18 T, applied along the chains, the electron $g$ factors of
these two modes were similar, $g_{1c}=2.049$ and $g_{2c}=2.044$. Full linewidth
at half maximum for both modes was 1 cm$^{-1}$ (0.12 meV) at 4K and increased
with $T$. The temperature dependence of mode energies and line intensities was
in agreement with the inelastic neutron scattering results from two groups
[Matsuda {\it et al.}, Phys. Rev. B {\bf 59}, 1060 (1999) and Regnault {\it et
al.}, Phys. Rev. B {\bf 59}, 1055 (1999)]. The T$_1$ mode has not been observed
by inelastic neutron scattering in the points of the $k$-space equivalent to
the center of the Brillouin zone. Our study indicates that the zone structure
model of magnetic excitations of Sr$_{14}$Cu$_{24}$O$_{41}$ must be modified to
include a triplet mode at 9.65 meV in the center of the magnetic Brillouin
zone.


title:
Dynamical Systems On Three Manifolds Part II: 3-Manifolds,Heegaard
  Splittings and Three-Dimensional Systems

abstract:
  The global behaviour of nonlinear systems is extremely important in control
and systems theory since the usual local theories will only give information
about a system in some neighbourhood of an operating point. Away from that
point, the system may have totally different behaviour and so the theory
developed for the local system will be useless for the global one.
  In this paper we shall consider the analytical and topological structure of
systems on 2- and 3- manifolds and show that it is possible to obtain systems
with 'arbitrarily strange' behaviour, i.e., arbitrary numbers of chaotic
regimes which are knotted and linked in arbitrary ways. We shall do this by
considering Heegaard Splittings of these manifolds and the resulting systems
defined on the boundaries.


title:
Polyakov loop and the color-flavor locked phase of Quantum
  Chromodynamics

abstract:
  We consider the Polyakov Nambu Jona Lasinio model with three massless quarks
at high density and moderate temperature in the superconductive color flavor
locking phase. We compute the critical temperature $T_c$ as a function of the
baryonic chemical potential for the phase transition from the superconductive
state to the normal phase. We find that $T_c$ is higher by a factor 1.5 -2 in
comparison to the model containing no Polyakov loop. We also compute the
specific heat $C_v$ near the second order phase transition and we show that the
inclusion of the Polyakov loop does not change the value of the critical
exponent.


title: Entropy production in ac-calorimetry

abstract:
  In calorimetry and particularly in heat capacity measurements, different
characteristic relaxation time constants may perturb the experiment which
cannot be considered at thermodynamic equilibrium. In this case, thermodynamics
of irreversible processes has to be taken into account and the calorimetric
measurements must be considered as dynamic. In a temperature modulated
experiment, such as ac-calorimetry, these non-equilibrium experiments give rise
to the notion of frequency dependent complex heat capacity. In this paper, it
is shown that for each irreversible process an experimental frequency dependent
complex heat capacity can be inferred. Furthermore, we demonstrate rigorously
that a same equality connects the imaginary part of these different complex
heat capacities with the entropy produced during these irreversible processes.
Finally, we claim that the presence of an imaginary part in the measured heat
capacity always indicates that a certain amount of heat does not participate to
the classical equilibrium heat capacity of the sample when measured over the
observation time scale.


title:
W4 thermochemistry of P_2 and P_4. Is the CODATA heat of formation of
  phosphorus atom correct?

abstract:
  The high-accuracy W4 computational thermochemistry protocol, and several
post-W4 methods, have been applied to the P$_2$ and P$_4$ molecules. Contrary
to previous studies, we find the experimental thermochemistry to be
fundamentally sound. The reaction enthalpy for P$_4\to 2$P$_2$ has a very
significant contribution from post-CCSD(T) correlation effects. We derive a
gas-phase heat of formation for the phosphorus atom of $\Delta
H^\circ_{f,0}$[P(g)]=75.54$\pm$0.1 kcal/mol and $\Delta
H^\circ_{f,298}$[P(g)]=75.74$\pm$0.1 kcal/mol, in the upper half of the CODATA
uncertainty interval.


title: Association of heteronuclear molecules in a harmonic oscillator well

abstract:
  We describe the collisional interaction between two different atoms that are
trapped in a harmonic potential. The atoms are exposed to a magnetic field,
which is modulated in the vicinity of an s-wave Feshbach resonance, and we
study the formation of molecular bound states and excited states of the trapped
system with non-trivial angular correlations.


title:
Effect of physical inactivity on the oxidation of saturated and
  monounsaturated dietary Fatty acids: results of a randomized trial

abstract:
  OBJECTIVES: Changes in the way dietary fat is metabolized can be considered
causative in obesity. The role of sedentary behavior in this defect has not
been determined. We hypothesized that physical inactivity partitions dietary
fats toward storage and that a resistance exercise training program mitigates
storage.


title: Temperature micro-Raman study of lysozyme crystals

abstract:
  We have performed for the first time micro-Raman studies of lysozyme crystals
for the temperatures lower than the room one (in the range 282-300K). Anomalous
temperature dependence of the positions of Raman scattering bands has been
detected and discussed, which corresponds to the crystalline lysozyme structure
in the vicinity of T=285K.


title:
Thermal instability of an expanding dusty plasma with equilibrium
  cooling

abstract:
  We present an analysis of radiation induced instabilities in an expanding
plasma with considerable presence of dust particles and equilibrium cooling. We
have shown that the equilibrium expansion and cooling destabilize the radiation
condensation modes and the presence of dust particles enhances this effect. We
have examined our results in the context of ionized, dusty-plasma environments
such as those found in planetary nebulae (PNe). We show that due to the
non-static equilibrium and finite equilibrium cooling, small-scale localized
structures formed out of thermal instability, become transient, which agrees
with the observational results. The dust-charge fluctuation is found to heavily
suppress these instabilities, though in view of non-availability of convincing
experimental data, a definitive conclusion could not be made.


title:
Polarized and unpolarized $\mu$-pair meson-induced Drell--Yan production
  and the pion distribution amplitude

abstract:
  We present a detailed analysis of meson-induced massive lepton (muon)
Drell--Yan production for the process $\pi^{-}N\to\mu^{+}\mu^{-}X$, considering
both an unpolarized nucleon target and longitudinally polarized protons. Using
a QCD framework, we focus on the angular distribution of $\mu^+$, which is
sensitive to the shape of the pion distribution amplitude, the goal being to
test corresponding results against available experimental data. Predictions are
made, employing various pion distribution amplitudes, for the azimuthal angle
dependence of the $\mu^{+}$ distribution in the polarized case, relevant for
the planned COMPASS experiment. QCD evolution is given particular attention in
both considered cases.


title: Emergence of a flux tube through a partially ionised solar atmosphere

abstract:
  For a magnetic flux tube, or indeed any flux, to emerge into the Solar corona
from the convection zone it must pass through the partially ionised layers of
the lower atmosphere: the photosphere and the chromosphere. In such regions the
ion-neutral collisions lead to an increased resistivity for currents flowing
across magnetic field lines. This Cowling resistivity can exceed the Spitzer
resistivity by orders of magnitude and in 2.5D simulations has been shown to be
sufficient to remove all cross field current from emerging flux. Here we extend
this modelling into 3D. Once again it is found that the Cowling resistivity
removes perpendicular current. However the presence of 3D structure prevents
the simple comparison possible in 2.5D simulations. With a fully ionised
atmosphere the flux emergence leads to an unphysically low temperature region
in the overlying corona, lifting of chromospheric material and the subsequent
onset of the Rayleigh-Taylor instability. Including neutrals removes the low
temperature region, lifts less chromospheric matter and shows no signs of the
Rayleigh-Taylor instability. Simulations of flux emergence therefore should
include such a neutral layer in order to obtain the correct perpendicular
current, remove the Rayleigh-Taylor instability and get the correct temperature
profile. In situations when the temperature is not important, i.e. when no
simulated spectral emission is required, a simple model for the neutral layer
is demonstrated to adequately reproduce the results of fully consistent
simulations.


title: User driven applications - new design paradigm

abstract:
  Programs for complicated engineering and scientific tasks always have to deal
with a problem of showing numerous graphical results. The limits of the screen
space and often opposite requirements from different users are the cause of the
infinite discussions between designers and users, but the source of this
ongoing conflict is not in the level of interface design, but in the basic
principle of current graphical output: user may change some views and details,
but in general the output view is absolutely defined and fixed by the
developer. Author was working for several years on the algorithm that will
allow eliminating this problem thus allowing stepping from designer-driven
applications to user-driven. Such type of applications in which user is
deciding what, when and how to show on the screen, is the dream of scientists
and engineers working on the analysis of the most complicated tasks. The new
paradigm is based on movable and resizable graphics, and such type of graphics
can be widely used not only for scientific and engineering applications.


title:
Topology of the regular part for infinitely renormalizable quadratic
  polynomials

abstract:
  In this paper we describe the well studied process of renormalization of
quadratic polynomials from the point of view of their natural extensions. In
particular, we describe the topology of the inverse limit of infinitely
renormalizable quadratic polynomials and prove that when they satisfy a-priori
bounds, the topology is rigid modulo its combinatorics.


title:
On the methods to construct UFD counterexamples to a cancellation
  problem

abstract:
  In a previous paper, the author together with prof. dr. Finston constructed a
class of UFDs A_{n,m} where n,m\in \N^*. These rings are all stably equivalent
(A_{n,m}[T]\cong A_{p,q}[T] for all n,m,p,q) but are only isomorphic themselves
if (n,m)=(p,q). These examples are the first UFD examples over a
characteristically closed field satisfying this behavior. In this paper, we
describe the methods used in this article, and show that they are very general,
enabling the reader to construct many more such examples, based on the same
principles.


title:
Angles from B Decays with Charm: Summary of Working Group 5 of the CKM
  Workshop 2006

abstract:
  We summarize the results presented in Working Group 5 (WG5) of the CKM 2006
Workshop in Nagoya. The charge of WG5 was to discuss the measurements of
unitarity triangle angles $\beta/\phi_1$ and $\gamma/\phi_3$ from $B$-meson
decays containing charm quark(s) in the final states.


title: Piezooptic Coefficients and Acoustic Wave Velocities in Sn2P2S6 Crystals

abstract:
  Piezooptic coefficients of Sn2P2S6 crystals are experimentally determined for
l=623.8 nm and T=293 K with the aid of interferometric technique. The
components of the elastic stiffness tensor for these crystals are calculated on
the basis of studies for the acoustic wave velocities. It is shown that
acoustooptic figure of merit can achieve extremely high values for Sn2P2S6
crystals (M2 - 2x10-12s3/kg2).


title:
Classification of Graded Left-symmetric Algebra Structures on Witt and
  Virasoro Algebras

abstract:
  We find that a compatible graded left-symmetric algebra structure on the Witt
algebra induces an indecomposable module of the Witt algebra with 1-dimensional
weight spaces by its left multiplication operators. From the classification of
such modules of the Witt algebra, the compatible graded left-symmetric algebra
structures on the Witt algebra are classified. All of them are simple and they
include the examples given by Chapoton and Kupershmidt. Furthermore, we
classify the central extensions of these graded left-symmetric algebras which
give the compatible graded left-symmetric algebra structures on the Virasoro
algebra. They coincide with the examples given by Kupershmidt.


title: On the set of complex points of a 2-sphere

abstract:
  Let $G$ be a strictly pseudoconvex domain in $\mathbb{C}^2$ with
$C^\infty$-smooth boundary $\partial G$. Let $S$ be a 2-dimensional sphere
embedded into $\partial G$. Denote by $\mathcal{E}$ the set of all complex
points on $S$. We study how the structure of the set $\mathcal{E}$ depends on
the smoothness of $S$


title: Un coronographe interf\'erentiel achromatique coaxial

abstract:
  On-axis achromatic interfero-coronagraph. We present a new type of stellar
interfero-coronagraph, the "CIAXE", which is a variant of the "AIC", the
Achromatic Interfero-Coronagraph [3,4]. The CIAXE is characterized by a very
simple, compact and fully coaxial optical combination. Indeed, contrarily to
the classical AIC which has a Michelson interferometer structure, the CIAXE
delivers its output beam on the same axis as the input beam. This will ease its
insertion in the focal instrumentation of existing telescopes or next
generation ones. Such a device could be a step forward in the field of
instrumental search for exoplanets.
  -----
  Dans le but deparvenir \`a l'imagerie \`a haute dynamique d'objets comme les
exoplan\`etes, nous pr\'esentons ici un nouveau concept de coronographe
stellaire interf\'erentiel, le "CIAXE". Il est d\'eriv\'e du "CIA", le
Coronographe Interf\'erentiel Achromatique. Le CIAXE se distingue de son
pr\'ed\'ecesseur par une combinaison optique originale, simplifi\'ee, tr\`es
compacte et totalement coaxiale. En effet, \`a la diff\'erence du CIA classique
qui est d\'eriv\'e de l'interf\'erom\`etre de Michelson, le CIAXE d\'elivre son
faisceau de sortie sur le m\^eme axe que le faisceau d'entr\'ee, ce qui
facilitera grandement son insertion au sein de l'instrumentation focale d'un
t\'elescope. Un tel dispositif pourrait constituer une avanc\'ee en mati\`ere
d'instrumentation focale pour la recherche d'exoplan\`etes.


title: Slippery or sticky ! Control of wrinkling patterns by selective adhesion

abstract:
  Wrinkling patterns at the metallized surface of thin polymer films are shown
to be sensitive to the sticky or slippery character of the polymer/substrate
interface (titanium coating, polystyrene film and coated silicon substrate).
Selective prefered wrinkle orientation and amplitude are achieved. Existing
theoretical models are expanded to specific boundary conditions (adhesive vs
slippery) and rationalize these observations.


title: Symmetry in semidefinite programs

abstract:
  This paper is a tutorial in a general and explicit procedure to simplify
semidefinite programs which are invariant under the action of a symmetry group.
The procedure is based on basic notions of representation theory of finite
groups. As an example we derive the block diagonalization of the Terwilliger
algebra of the binary Hamming scheme in this framework. Here its connection to
the orthogonal Hahn and Krawtchouk polynomials becomes visible.


title: Indicative Surfaces for Crystal Optical Effects

abstract:
  This paper has mainly a pedagogical meaning. Our aim is to demonstrate a
correct general approach for constructing indicative surfaces of higher-rank
tensors. We reconstruct the surfaces of piezo-optic tensor for beta-BaB2O4 and
LiNbO3 crystals, which have been incorrectly presented in our recent papers.


title: Effect of hydrostatic pressure on elastic properties of ZDTP tribofilms

abstract:
  Previous studies have shown that the elastic properties of Zinc
Dialkyl-dithiophosphate (ZDTP) tribofilms measured by nanoindentation increase
versus applied pressure (Anvil effect) [1, 2]. The aim of this paper is to
demonstrate that, up to 8 GPa, this increase is a reversible phenomenon. A ZDTP
tribofilm has been produced on "AISI 52100" steel substrate using a
Cameron-Plint tribometer. After its formation, a hydrostatic pressure of about
8 GPa was applied during one minute on the tribofilm using a large radius steel
ball ("Brinell-like" test). Nanoindentation tests were performed with a
Berkovich tip on pads in order to measure and compare the mechanical properties
of the tribofilm inside and outside the macroscopic plastically deformed area.
Careful AFM observations have been carried out on each indent in order to take
into account actual contact area. No difference in elastic properties was
observed between the two areas: tribofilm modulus and pressure sensitivity are
the same inside and outside the residual hemispherical print. This demonstrates
that Anvil effect is a reversible phenomenon in the studied pressure range.


title: t-J model then and now: A personal perspective from the pioneering times

abstract:
  In this overview I sketch briefly the path to the so-called {\em t-J model}
derived for the first time 30 years ago and provide its original meaning within
the theory of strongly correlated magnetic metals with a non-Fermi (non-Landau)
liquid ground state. An emergence of the concept of {\em real space pairing},
is discussed in a historical prospective. A generalization of this model to the
many-orbital situation is briefly discussed. The emphasis is put on didactical
exposition of ideas, as they were transformed into mathematical language. The
concept of {\em hybrid pairing} is introduced in the same context at the end.


title:
On-sky observations with an achromatic hybrid phase knife coronagraph in
  the visible

abstract:
  CONTEXT: The four-quadrant phase mask stellar coronagraph, introduced by D.
Rouan et al., is capable of achieving very high dynamical range imaging and was
studied in the context of the direct detection of extra-solar planets.
Achromatic four-quadrant phase mask is currently being developed for broadband
IR applications. AIMS: We report on laboratory and on-sky tests of a prototype
coronagraph in the visible. This prototype, the achromatic hybrid phase knife
coronagraph, was derived from the four-quadrant phase mask principle. METHODS:
The instrumental setup implementing the coronagraph itself was designed to
record the pre- and post-coronagraphic images simultaneously so that an
efficient real-time image selection procedure can be performed. We describe the
coronagraph and the associated tools that enable robust and repeatable
observations. We present an algorithm of image selection that has been tested
against the real on-sky data of the binary star HD80081 (* 38 Lyn). RESULTS
Although the observing conditions were poor, the efficiency of the proposed
method is proven. From this experiment, we derive procedures that can apply to
future focal instruments associating adaptive optics and coronagraphy,
targeting high dynamic range imaging in astronomy, such as detecting
extra-solar planets.


title:
Immediate Calculation of some Poisson Type Integrals Using
  Supermathematics Circular Ex-Centric Functions

abstract:
  This article presents two methods, in parallel, of solving more complex
integrals, among which is the Poisson's integral, in order to emphasize the
obvious advantages of a new method of integration, which uses the
supermathematics circular ex-centric functions.


title:
Quantum Unique Ergodicity for Eisenstein Series on the Hilbert Modular
  Group over a Totally Real Field

abstract:
  W. Luo and P. Sarnak have proved the quantum unique ergodicity property for
Eisenstein series on $\rm{PSL}(2,\mathbb{Z}) \backslash H$. We extend their
result to Eisenstein series on $\rm{PSL}(2,O) \backslash H^n$, where $O$ is the
ring of integers in a totally real field of degree $n$ over $Q$ with narrow
class number one, using the Eisenstein series considered by I. Efrat. We also
give an expository treatment of the theory of Hecke operators on
non-holomorphic Hilbert modular forms.


title:
High-temperature excess current and quantum suppression of electronic
  backscattering in a 1-D system

abstract:
  We consider the electronic current through a one-dimensional conductor in the
ballistic transport regime and show that the quantum oscillations of a weakly
pinned single scattering target results in a temperature- and bias-voltage
independent excess current at large bias voltages. This is a genuine effect on
transport that derives from an exponential reduction of electronic
backscattering in the elastic channel due to quantum delocalization of the
scatterer and from suppression of low-energy electron backscattering in the
inelastic channels caused by the Pauli exclusion principle. We show that both
the mass of the target and the frequency of its quantum vibrations can be
measured by studying the differential conductance and the excess current. We
apply our analysis to the particular case of a weakly pinned C60 molecule
encapsulated by a single-wall carbon nanotube and find that the discussed
phenomena are experimentally observable.


title: The role of thermal pressure in jet launching

abstract:
  I present and discuss a unified scheme for jet launching that is based on
stochastic dissipation of the accretion disk kinetic energy, mainly via shock
waves. In this scheme, termed thermally-launched jet model, the kinetic energy
of the accreted mass is transferred to internal energy, e.g., heat or magnetic
energy. The internal energy accelerates a small fraction of the accreted mass
to high speeds and form jets. For example, thermal energy forms a pressure
gradient that accelerates the gas. A second acceleration stage is possible
wherein the primary outflow stretches magnetic field lines. The field lines
then reconnect and accelerate small amount of mass to very high speeds. This
double-stage acceleration process might form highly relativistic jets from
black holes and neutron stars. The model predicts that detail analysis of
accreting brown dwarfs that launch jets will show the mass accretion rate to be
larger than 10^{-9}-10^{-8} Mo/year, which is higher than present claims in the
literature.


title:
An application of transverse-momentum-dependent evolution equations in
  QCD

abstract:
  The properties and behaviour of the solutions of the recently obtained
$k_t$-dependent evolution equations are investigated. When used to reproduce
transverse momentum spectra of hadrons in Semi-Inclusive DIS, an encouraging
agreement with data is found. The present analysis also supports at the
phenomenological level the factorization properties of the Semi-Inclusive DIS
cross-sections in terms of $k_t$-dependent distributions. Further improvements
and possible developments of the proposed evolution equations are envisaged.


title: Massless Wave States of Two-Fermion Systems

abstract:
  It is known that in the ladder approximation the relativistic two-fermion
bound-state equation of Bethe and Salpeter has solutions corresponding to the
binding energy equal to the total mass of the particles. The study of these
massless states has been carried out only for the bound system at rest. Of
course, such composite boson can not be in the state of rest. But it is more
importantly that this approach for the massless boson can not be interpreted as
the limiting case of a nonzero mass system because the phase velocity of the
boson wave must equal to the speed of light. Using the Bethe-Salpeter equation
in the ladder approximation, we have obtained the wave equation for the
massless bound states of two fermions with equal masses and the electromagnetic
interaction between them. Neglecting retardation of the interaction, solutions
corresponded to the stationary wave states of the composite boson, have been
found. The boson wave function can be represented as an infinite, straight
thread, the transverse radius of which is more than the Compton wavelength of
the fermion. Two energy branches of the bosons with quantized energies have
been determined. The appearance of these branches is due to the strong
renormalization of the fine structure constant for the massless states.


title: Behind Pvlas

abstract:
  We offer a detailed review of the physics behind the PVLAS experiment. We
also address some laboratory and astrophysical cross-checks for the recent
claim concerning a signal consistent with an Axion-Like Particle. Our aim is
that the leading role played by Emilio (Mimmo) Zavattini in this field of
research will become apparent.


title: Conformal Invariance = Finiteness and Beta Deformed N=4 SYM Theory

abstract:
  We claim that if by a choice of the couplings the theory can be made
conformally invariant (vanishing of the beta functions) it is automatically
finite and vice versa. This is demonstrated by explicit example in
supersymmetric gauge theory. The formalism is then applied to the beta deformed
${\cal N}=4$ SYM theory and it is shown that the requirement of conformal
invariance = finiteness can be achieved for any complex parameter of
deformations.


title: High-Speed Optical Spectroscopy

abstract:
  The large surveys and sensitive instruments of modern astronomy are turning
ever more examples of variable objects, many of which are extending the
parameter space to testing theories of stellar evolution and accretion. Future
projects such as the Laser Interferometer Space Antenna (LISA) and the Large
Synoptic Survey Telescope (LSST) will only add more challenging candidates to
this list. Understanding such objects often requires fast spectroscopy, but the
trend for ever larger detectors makes this difficult. In this contribution I
outline the science made possible by high-speed spectroscopy, and consider how
a combination of the well-known progress in computer technology combined with
recent advances in CCD detectors may finally enable it to become a standard
tool of astrophysics.


title: Subgroup separability in residually free groups

abstract:
  We prove that the finitely presentable subgroups of residually free groups
are separable and that the subgroups of type $\mathrm{FP}_\infty$ are virtual
retracts. We describe a uniform solution to the membership problem for finitely
presentable subgroups of residually free groups.


title: Gap Formation in the Dust Layer of 3D Protoplanetary Disks

abstract:
  We numerically model the evolution of dust in a protoplanetary disk using a
two-phase (gas+dust) Smoothed Particle Hydrodynamics (SPH) code, which is
non-self-gravitating and locally isothermal. The code follows the three
dimensional distribution of dust in a protoplanetary disk as it interacts with
the gas via aerodynamic drag. In this work, we present the evolution of a disk
comprising 1% dust by mass in the presence of an embedded planet for two
different disk configurations: a small, minimum mass solar nebular (MMSN) disk
and a larger, more massive Classical T Tauri star (CTTS) disk. We then vary the
grain size and planetary mass to see how they effect the resulting disk
structure. We find that gap formation is much more rapid and striking in the
dust layer than in the gaseous disk and that a system with a given stellar,
disk and planetary mass will have a different appearance depending on the grain
size and that such differences will be detectable in the millimetre domain with
ALMA. For low mass planets in our MMSN models, a gap can open in the dust disk
while not in the gas disk. We also note that dust accumulates at the external
edge of the planetary gap and speculate that the presence of a planet in the
disk may facilitate the growth of planetesimals in this high density region.


title:
Solution of the Unanimity Rule on exponential, uniform and scalefree
  networks: A simple model for biodiversity collapse in foodwebs

abstract:
  We solve the Unanimity Rule on networks with exponential, uniform and
scalefree degree distributions. In particular we arrive at equations relating
the asymptotic number of nodes in one of two states to the initial fraction of
nodes in this state. The solutions for exponential and uniform networks are
exact, the approximation for the scalefree case is in perfect agreement with
simulation results. We use these solutions to provide a theoretical
understanding for experimental data on biodiversity loss in foodwebs, which is
available for the three network types discussed. The model allows in principle
to estimate the critical value of species that have to be removed from the
system to induce its complete collapse.


title:
n alpha Resonating-Group Calculation with a Quark-Model G-Matrix NN
  Interaction

abstract:
  We calculate n alpha phase-shifts and scattering observables in the
resonating-group method, using the nuclear-matter G-matrix of an SU_6
quark-model NN interaction. The G-matrix is generated in the recent
energy-independent procedure of the quark-model NN interaction with the
continuous prescription for intermediate spectra, by assuming an appropriate
Fermi momentum k_F=1.2 fm^-1. The n alpha RGM interaction kernels are evaluated
with explicit treatments of the nonlocality and momentum dependence of
partial-wave G-matrix components. The momentum dependence of the G-matrix
components is different for each of the nucleon-exchange and interaction types.
Without introducing any artificial parameters except for k_F, the central and
spin-orbit components of the n alpha Born kernel are found to have reasonable
strengths under the assumption of a rigid translationally invariant shell-model
wave function of the alpha-cluster. The characteristic behaviors of three
different exchange terms, corresponding to knockout, heavy-particle pickup and
nucleon-rearrangement processes, are essentially the same between the case of
previous local effective NN forces and the case of nonlocal G-matrix NN
interactions.


title: Gradient expansion approach to multiple-band Fermi liquids

abstract:
  Promoted by the recent progress of Berry phase physics in spin
galvanomagnetic communities, we develop a systematic derivation of the reduced
Keldysh equation (RKE) which captures the low-energy dynamics of
quasi-particles constrained within doubly degenerate bands forming a single
Fermi surface. Specifically, we project out the fully occupied/empty band
degrees of freedom perturbatively in the gradient expansion, whose coupling
constant measures how a system is disequilibrated. As for the electron-electron
interactions, however, we only employ the so-called adiabatic assumption of the
Fermi liquid theory, so that the effect of electron correlations onto the
adiabatic transport of quasi-particles, i.e. the hermitian (real) part of the
self-energy, is taken into account in an unbiased manner.


title: Mach cones in Heavy Ion Collisions

abstract:
  MACE, a model for the propagation of mach cones in the velocity field of
heavy ion collisions (as created by hydrodynamical models) is explained. It is
tested on an analytical test case (static medium) and applied to velocity
fields created by the Particle-in-Cell model from LHC and RHIC initial
conditions.


title:
Exact ground state density functional theory for impurity models coupled
  to external reservoirs and transport calculations

abstract:
  A method is presented, which employs the density matrix renormalization group
technique in order to construct exact ground state exchange correlation
functionals for models of correlated electron systems coupled to external
reservoirs. The technique is applied to the M-site resonant level model. We
calculate its exact Kubo-conductance, which is available within DMRG, and
compare to the single-particle conductance obtained from Kohn-Sham energies and
orbitals of the exact ground state density functional theory (DFT). It is found
that the position of transport resonances is reproduced essentially exactly,
while deviations in the level broadening can be less than 1% and do not exceed
10%. Our findings lend strong support to a recently held point of view, namely
that approximations in the ground state functionals used in DFT based transport
calculations can lead to drastic errors in transport calculations while
exchange correlation contributions to the induced effective potential tend to
be less significant.


title: X-ray Tail in NGC 7619

abstract:
  We present new observational results of NGC 7619, an elliptical galaxy with a
prominent X-ray tail and a dominant member of the Pegasus group. With Chandra
and XMM-Newton observations, we confirm the presence of a long X-ray tail in
the SW direction; moreover, we identify for the first time a sharp
discontinuity of the X-ray surface brightness in the opposite (NE) side of the
galaxy. The density, temperature and pressure jump at the NE discontinuity
suggest a Mach number ~1, corresponding to a galaxy velocity of ~500 km s-1,
relative to the surrounding hot gas. Spectral analysis of these data shows that
the Iron abundance of the hot gaseous medium is much higher (1-2 solar) near
the center of NGC 7619 and in the tail extending from the core than in the
surrounding regions (< 1/2 solar), indicating that the gas in the tail is
originated from the galaxy. The possible origin of the head-tail structure is
either on-going ram-pressure stripping or sloshing. The morphology of the
structure is more in line with a ram pressure stripping phenomenon, while the
position of NGC 7619 at the center of the Pegasus I group, and its dominance,
would prefer sloshing.


title:
Quantum key distribution over 25 km with an all-fiber
  continuous-variable system

abstract:
  We report on the implementation of a reverse-reconciliated coherent-state
continuous-variable quantum key distribution system, with which we generated
secret keys at a rate of more than 2 kb/s over 25 km of optical fiber. Time
multiplexing is used to transmit both the signal and phase reference in the
same optical fiber. Our system includes all experimental aspects required for a
field implementation of a quantum key distribution setup. Real-time reverse
reconciliation is achieved by using fast and efficient LDPC error correcting
codes.


title: Double-gap superconducting proximity effect in nanotubes

abstract:
  We theoretically explore the possibility of a superconducting proximity
effect in single-walled metallic carbon nanotubes due to the presence of a
superconducting substrate. An unconventional double-gap situation can arise in
the two bands for nanotubes of large radius wherein the tunneling is (almost)
symmetric in the two sublattices. In such a case, a proximity effect can take
place in the symmetric band below a critical experimentally-accessible Coulomb
interaction strength in the nanotube. Furthermore, due to interactions in the
nanotube, the appearance of a BCS gap in this band stabilizes superconductivity
in the other band at lower temperatures. We also discuss the scenario of highly
asymmetric tunneling and show that this case too supports double-gap
superconductivity.


title:
Isoperimetric profile and random walks on locally compact solvable
  groups

abstract:
  We study a large class of amenable locally compact groups containing all
solvable algebraic groups over a local field and their discrete subgroups. We
show that the isoperimetric profile of these groups is in some sense optimal
among amenable groups. We use this fact to compute the probability of return of
symmetric random walks, and to derive various other geometric properties which
are likely to be only satisfied by these groups.


title: Characterization of two-dimensional fermionic insulating states

abstract:
  Inspired by the duality picture between superconductivity and insulator in
two spatial dimension, we conjecture that the order parameter, suitable for
characterizing 2D fermionic insulating state, is the disorder operator, usually
known in the context of statistical transformation. Namely, the change of the
phase of the disorder operator along a closed loop measures the particle
density accommodating inside this loop. Thus, identifying this (doped) particle
density with the dual counterpart of the magnetic induction in 2D SC, we can
naturally introduce the disorder operator as the dual order parameter of 2D
insulators. The disorder operator has a branch cut emitting from this
``vortex'' to the single infinitely far point. To test this conjecture against
an arbitrary 2D lattice models, we have chosen this branch cut to be compatible
with the periodic boundary condition and obtain a general form of its
expectation value for non-interacting metal/insulator wavefunction, including
gapped mean-field order wavefunction. Based on this expression, we observed
analytically that it indeed vanishes for a wide class of band metals in the
thermodynamic limit. In insulating states, on the other hand, it is quantified
by the localization length or the real-valued gauge invariant 2-from dubbed as
the quantum metric tensor.


title: Quiver Gauge Theory and Conformality at the TeV Scale

abstract:
  This review describes the conformality approach to extending the standard
model of particle phenomenology using an assumption of no conformal anomaly at
high energy. Topics include quiver gauge theory, the conformality approach to
phenomenology, strong-electroweak unification at 4 TeV, cancellation of
quadratic divergences, cancellation of U(1) anomalies, and a dark matter
candidate.