title:
The effect of temperature and gas flow on the physical vapour growth of
  mm-scale rubrene crystals for organic FETs

abstract:
  There has recently been significant interest in rubrene single-crystals grown
using physical vapour transport techniques due to their application in
high-mobility organic field-effect transistor (OFET) devices. Despite numerous
studies of the electrical properties of such crystals, there has only been one
study to date focussing on characterising and optimising the crystal growth as
a function of the relevant growth parameters. Here we present a study of the
dependence of the yield of useful crystals (defined as crystals with at least
one dimension of order 1 mm) on the temperature and volume flow of carrier gas
used in the physical vapour growth process.


title: Bounding Multiplicity by Shifts in the Taylor Resolution

abstract:
  A weaker form of the multiplicity conjecture of Herzog, Huneke, and
Srinivasan is proven for two classes of monomial ideals: quadratic monomial
ideals and squarefree monomial ideals with sufficiently many variables relative
to the Krull dimension. It is also shown that tensor products, as well as
Stanley-Reisner ideals of certain unions, satisfy the multiplicity conjecture
if all the components do. Conditions under which the bounds are achieved are
also studied.


title: Penumbral models in the light of Hinode spectropolarimetric observations

abstract:
  The realism of current models of the penumbra is assessed by comparing their
predictions with the plasma properties of penumbral filaments as retrieved from
spectropolarimetric observations. The spectropolarimeter onboard Hinode allows
us to distinguish for the first time the fine structure of the penumbra.
Therefore, we can use one-component inversions to obtain the stratifications of
plasma parameters in each pixel. The correlations between the plasma parameters
and the continuum intensity are studied. We find that, in the outer penumbra,
the stronger flows and higher values of magnetic field inclination tend to be
located in dark filaments. This finding does not seem to be compatible with the
scenario of a field-free gappy penumbra.


title:
Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic
  Fluctuations

abstract:
  In many strongly correlated electron systems, remarkable violation of the
relaxation time approximation (RTA) is observed. The most famous example would
be high-Tc superconductors (HTSCs), and similar anomalous transport phenomena
have been observed in metals near their antiferromagnetic (AF) quantum critical
point (QCP). Here, we develop a transport theory involving resistivity and Hall
coefficient on the basis of the microscopic Fermi liquid theory, by considering
the current vertex correction (CVC). In nearly AF Fermi liquids, the CVC
accounts for the significant enhancements in the Hall coefficient,
magnetoresistance, thermoelectric power, and Nernst coefficient in nearly AF
metals. According to the numerical study, aspects of anomalous transport
phenomena in HTSC are explained in a unified way by considering the CVC,
without introducing any fitting parameters; this strongly supports the idea
that HTSCs are Fermi liquids with strong AF fluctuations. In addition, the
striking \omega-dependence of the AC Hall coefficient and the remarkable
effects of impurities on the transport coefficients in HTSCs appear to fit
naturally into the present theory. The present theory also explains very
similar anomalous transport phenomena occurring in CeCoIn5 and CeRhIn5, which
is a heavy-fermion system near the AF QCP, and in the organic superconductor
\kappa-(BEDT-TTF).


title: Symmetry in quantum walks

abstract:
  A discrete-time quantum walk on a graph is the repeated application of a
unitary evolution operator to a Hilbert space corresponding to the graph.
Hitting times for discrete quantum walks on graphs give an average time before
the walk reaches an ending condition. We derive an expression for hitting time
using superoperators, and numerically evaluate it for the walk on the hypercube
for various coins and decoherence models. We show that, by contrast to
classical walks, quantum walks can have infinite hitting times for some initial
states. We seek criteria to determine if a given walk on a graph will have
infinite hitting times, and find a sufficient condition for their existence.
The phenomenon of infinite hitting times is in general a consequence of the
symmetry of the graph and its automorphism group. Symmetries of a graph, given
by its automorphism group, can be inherited by the evolution operator. Using
the irreducible representations of the automorphism group, we derive conditions
such that quantum walks defined on this graph must have infinite hitting times
for some initial states. Symmetry can also cause the walk to be confined to a
subspace of the original Hilbert space for certain initial states. We show that
a quantum walk confined to the subspace corresponding to this symmetry group
can be seen as a different quantum walk on a smaller quotient graph and we give
an explicit construction of the quotient graph. We conjecture that the
existence of a small quotient graph with finite hitting times is necessary for
a walk to exhibit a quantum speed-up. Finally, we use symmetry and the theory
of decoherence-free subspaces to determine when the subspace of the quotient
graph is a decoherence-free subspace of the dynamics.


title: Minimum de Bruijn Sequence in a Language with Forbidden Substrings

abstract:
  Let be the following strategy to construct a walk in a labeled digraph: at
each vertex, we follow the unvisited arc of minimum label. In this work we
study for which languages, applying the previous strategy over the
corresponding de Bruijn graph, we finish with an Eulerian cycle, in order to
obtain the minimal de Bruijn sequence of the language.


title:
Cosmic Microwave Background--Weak Lensing Correlation: Analytical and
  Numerical Study of Non-linearity and Implications for Dark Energy

abstract:
  Non-linear evolution of density fluctuations yields secondary anisotropies in
the cosmic microwave background (CMB), which are correlated with the same
density fluctuations that can be measured by weak lensing (WL) surveys. We
study the CMB-WL correlation using analytical models as well as $N$-body
simulations. We show that an analytical model based upon the time derivative of
non-linear matter power spectrum agrees with simulations. All-sky
cosmic-variance limited CMB and WL surveys allow us to measure the correlation
from non-linearity with high significance ($50\sigma$) for $l_{\rm max}=10^4$,
whereas the forthcoming missions such as Planck and LSST are expected to yield
only marginal detections. The CMB-WL correlation is sensitive to the time
derivative of structure growth. We study how this property may be used to
constrain the nature of dark energy. While the expected constraints are not
very strong, they may provide a cross check of results from other observations.


title: Bethe Ansatz Equations for General Orbifolds of N=4 SYM

abstract:
  We consider the Bethe Ansatz Equations for orbifolds of N =4 SYM w.r.t. an
arbitrary discrete group. Techniques used for the Abelian orbifolds can be
extended to the generic non-Abelian case with minor modifications. We show how
to make a transition between the different notations in the quiver gauge
theory.


title: On dual quadri-algebras

abstract: This paper has been withdrawn


title: Remote extraction and destruction of spread qubit information

abstract:
  Necessary and sufficient conditions for deterministic remote extraction and
destruction of qubit information encoded in bipartite states using only local
operations and classical communications (LOCC) are presented. The conditions
indicate that there is a way to asymmetrically spread qubit information between
two parties such that it can be remotely extracted with unit probability at one
of the parties but not at the other as long as they are using LOCC. Remote
destruction can also be asymmetric between the two parties, but the conditions
are incompatible with those for remote extraction.


title:
Edge Effects on the Electronic Structures of Chemically Modified
  Armchair Graphene Nanoribbons

abstract:
  In this paper, we apply the first-principle theory to explore how the
electronic structures of armchair graphene nanoribbons (AGNRs) are affected by
chemical modifications. The edge addends include H, F, N, NH$_{2}$, and
NO$_{2}$. Our theoretical results show that the energy gaps are highly tunable
by controlling the widths of AGNRs and addends. The most interesting finding is
that N-passivated AGNRs with various widths are metallic due to the unique
electronic features of N-N bonds. This property change of AGNRs (from
semiconducting to metallic) is important in developing graphene-based devices.


title:
On the de Rham and p-adic realizations of the Elliptic Polylogarithm for
  CM elliptic curves

abstract:
  In this paper, we give an explicit description of the de Rham and p-adic
polylogarithms for elliptic curves using the Kronecker theta function. We prove
in particular that when the elliptic curve has complex multiplication and good
reduction at p, then the specializations to torsion points of the p-adic
elliptic polylogarithm are related to p-adic Eisenstein-Kronecker numbers,
proving a p-adic analogue of the result of Beilinson and Levin expressing the
complex elliptic polylogarithm in terms of Eisenstein-Kronecker-Lerch series.
Our result is valid even if the elliptic curve has supersingular reduction at
p.


title:
Predominant Magnetic States in Hubbard Model on Anisotropic Triangular
  Lattices

abstract:
  Using an optimization variational Monte Carlo method, we study the
half-filled-band Hubbard model on anisotropic triangular lattices, as a
continuation of the preceding study [J. Phys. Soc. Jpn 75, 074707 (2006)]. We
introduce two new trial states: (i) A coexisting state of
(\pi,\pi)-antiferromagnetic (AF) and a d-wave singlet gaps, in which we allow
for a band renormalization effect, and (ii) a state with an AF order of
120^\circ spin structure. In both states, a first-order metal-to-insulator
transition occurs at smaller U/t than that of the pure d-wave state. In
insulating regimes, magnetic orders always exist; an ordinary (\pi,\pi)-AF
order survives up to t'/t\sim 0.9 (U/t=12), and a 120^\circ-AF order becomes
dominant for t'/t \gsim 0.9. The regimes of the robust superconductor and of
the nonmagnetic insulator the preceding study proposed give way to these
magnetic domains.


title: Probing the nucleon structure with CLAS

abstract:
  An overview of recent results with CLAS is presented with emphasis on nucleon
resonance studies, nucleon spin structure, and generalized parton
distributions.


title: New ammonia masers towards NGC6334I

abstract:
  We report the detection of new ammonia masers in the non-metastable (8,6) and
(11,9) transitions towards the massive star forming region NGC6334I.
Observations were made with the ATCA interferometer and the emitting region
appears unresolved in the 2.7" x 0.8" beam, with deconvolved sizes less than an
arcsecond. We estimate peak brightness temperatures of 7.8 x 10^5 and 1.2 x
10^5 K for the (8,6) and (11,9) transitions, respectively. The masers appear
coincident both spatially and in velocity with a previously detected ammonia
(6,6) maser. We also suggest that emission in the (10,9), (9,9) and (7,6)
transitions may also be masers, based on their narrow line widths and
overlapping velocity ranges with the above masers, as observed with the
single-dish Mopra radiotelescope.


title: Fluid Motion Physics: The Total Head Vector of the Real Fluid Stream

abstract:
  The overcoming of a mechanics problem on origin of secondary jet flows, on
dynamics of its development and interaction with the main stream of the viscous
fluid is reached by means of elucidation of the energy distribution in the
stream at its interaction with the flow system walls and a body surface. In
contrast to a traditional conception on a total head of a fluid stream in a
pipe as a sum of a velocity head and a static pressure, it is ascertained that
this sum is only longitudinal component of the stream total head vector. It is
stated a new conception and it is produced the expressions for quantitative
evaluation of radial and tangential components of the stream total head vector
and for angle of its deflection from the stream axis. The new approach has
allowed rationally to explain the causes of origin of the secondary jet flows
and dynamics of its interaction with the main stream in various cases. Thereby
with the taking into account of previous articles of the author the necessary
theoretical preconditions has been created for a working out of the modern
physically valuable apparatus for mathematical modeling of the real - viscous -
fluid motion in any problems of hydromechanics and gas dynamics.


title:
Identification of a New Form of Electron Coupling in Bi2Sr2CaCu2O8
  Superconductor by Laser-Based Angle-Resolved Photoemission

abstract:
  Laser-based angle-resolved photoemission measurements with super-high
resolution have been carried out on an optimally-doped
Bi$_2$Sr$_2$CaCu$_2$O$_8$ high temperature superconductor. New high energy
features at $\sim$115 meV and $\sim$150 meV, besides the prominent $\sim$70 meV
one, are found to develop in the nodal electron self-energy in the
superconducting state. These high energy features, which can not be attributed
to electron coupling with single phonon or magnetic resonance mode, point to
the existence of a new form of electron coupling in high temperature
superconductors.


title: Colored dark matter

abstract:
  The idea is considered that a classical non-Abelian gauge field can be
considered as a dark matter candidate. It is shown that Yang-Mills equations
have solutions with such distribution of the mass density that allows to
describe a rotational curve of spiral galaxies. The conditions necessary for
such consideration are considered. One parameter is estimated from Yang-Mills
equations and from astrophysical observations (stars rotation curve). The
agreement is to within 1%.


title: Axion as a CDM component

abstract:
  I discuss the essential features of the QCD axion: the strong CP solution and
hence its theoretical necessity. I also review the effects of the QCD axion on
astrophysics and cosmology, in particular with emphasis on its role in the dark
matter component together with its supersymmetric partner axino. It is pointed
out that string theory may or may not give a detectable QCD axion.


title:
Cooperative Robot Control and Concurrent Synchronization of Lagrangian
  Systems

abstract:
  Concurrent synchronization is a regime where diverse groups of fully
synchronized dynamic systems stably coexist. We study global exponential
synchronization and concurrent synchronization in the context of Lagrangian
systems control. In a network constructed by adding diffusive couplings to
robot manipulators or mobile robots, a decentralized tracking control law
globally exponentially synchronizes an arbitrary number of robots, and
represents a generalization of the average consensus problem. Exact nonlinear
stability guarantees and synchronization conditions are derived by contraction
analysis. The proposed decentralized strategy is further extended to adaptive
synchronization and partial-state coupling.


title:
Two Bessel Bridges Conditioned Never to Collide, Double Dirichlet
  Series, and Jacobi Theta Function

abstract:
  It is known that the moments of the maximum value of a one-dimensional
conditional Brownian motion, the three-dimensional Bessel bridge with duration
1 started from the origin, are expressed using the Riemann zeta function. We
consider a system of two Bessel bridges, in which noncolliding condition is
imposed. We show that the moments of the maximum value is then expressed using
the double Dirichlet series, or using the integrals of products of the Jacobi
theta functions and its derivatives. Since the present system will be provided
as a diffusion scaling limit of a version of vicious walker model, the ensemble
of 2-watermelons with a wall, the dominant terms in long-time asymptotics of
moments of height of 2-watermelons are completely determined. For the height of
2-watermelons with a wall, the average value was recently studied by Fulmek by
a method of enumerative combinatorics.

categories: math.PR cond-mat.stat-mech hep-th math-ph math.CO math.MP nlin.SI


title: Cutsets in infinite graphs

abstract:
  We answer three questions posed in a paper by Babson and Benjamini. They
introduced a parameter $C_G$ for Cayley graphs $G$ that has significant
application to percolation. For a minimal cutset of $G$ and a partition of this
cutset into two classes, take the minimal distance between the two classes. The
supremum of this number over all minimal cutsets and all partitions is $C_G$.
We show that if it is finite for some Cayley graph of the group then it is
finite for any (finitely generated) Cayley graph. Having an exponential bound
for the number of minimal cutsets of size $n$ separating $o$ from infinity also
turns out to be independent of the Cayley graph chosen. We show a 1-ended
example (the lamplighter group), where $C_G$ is infinite. Finally, we give a
new proof for a question of de la Harpe, proving that the number of $n$-element
cutsets separating $o$ from infinity is finite unless $G$ is a finite extension
of $Z$.


title: Minimal tori with low nullity

abstract:
  The nullity of a minimal submanifold $M\subset S^{n}$ is the dimension of the
nullspace of the second variation of the area functional. That space contains
as a subspace the effect of the group of rigid motions $SO(n+1)$ of the ambient
space, modulo those motions which preserve $M$, whose dimension is the Killing
nullity $kn(M)$ of $M$. In the case of 2-dimensional tori $M$ in $S^{3}$, there
is an additional naturally-defined 2-dimensional subspace; the dimension of the
sum of the action of the rigid motions and this space is the natural nullity
$nnt(M)$. In this paper we will study minimal tori in $S^{3}$ with natural
nullity less than 8. We construct minimal immersions of the plane $R^{2}$ in
$S^{3}$ that contain all possible examples of tori with $nnt(M)<8$. We prove
that the examples of Lawson and Hsiang with $kn(M)=5$ also have $nnt(M)=5$, and
we prove that if the $nnt(M)\le6$ then the group of isometries of $M$ is not
trivial.


title: Bondary-connectivity via graph theory

abstract:
  We generalize theorems of Kesten and Deuschel-Pisztora about the
connectedness of the exterior boundary of a connected subset of $\mathbb{Z}^d$,
where "connectedness" and "boundary" are understood with respect to various
graphs on the vertices of $\mathbb{Z}^d$. We provide simple and elementary
proofs of their results. It turns out that the proper way of viewing these
questions is graph theory, instead of topology.


title:
Determining the density dependence of the nuclear symmetry energy using
  heavy-ion reactions

abstract:
  We review recent progress in the determination of the subsaturation density
behavior of the nuclear symmetry energy from heavy-ion collisions as well as
the theoretical progress in probing the high density behavior of the symmetry
energy in heavy-ion reactions induced by high energy radioactive beams. We
further discuss the implications of these results for the nuclear effective
interactions and the neutron skin thickness of heavy nuclei.


title: The Solar Optical Telescope for the Hinode Mission: An Overview

abstract:
  The Solar Optical Telescope (SOT) aboard the Hinode satellite (formerly
called Solar-B) consists of the Optical Telescope Assembly (OTA) and the Focal
Plane Package (FPP). The OTA is a 50 cm diffraction-limited Gregorian
telescope, and the FPP includes the narrow-band (NFI) and wide-band (BFI)
filtergraphs, plus the Stokes spectro-polarimeter (SP). SOT provides
unprecedented high resolution photometric and vector magnetic images of the
photosphere and chromosphere with a very stable point spread function, and is
equipped with an image stabilization system that reduces the error to less than
0.01 arcsec rms. Together with the other two instruments on Hinode (the X-Ray
Telescope (XRT) and EUV Imaging Spectrometer (EIS)), SOT is poised to address
many fundamental questions about solar magneto-hydrodynamics. Note that this is
an overview, and the details of the instrument are presented in a series of
companion papers.


title: Chern-Simons theory, analytic continuation and arithmetic

abstract:
  The purpose of the paper is to introduce some conjectures regarding the
analytic continuation and the arithmetic properties of quantum invariants of
knotted objects. More precisely, we package the perturbative and
nonperturbative invariants of knots and 3-manifolds into two power series of
type P and NP, convergent in a neighborhood of zero, and we postulate their
arithmetic resurgence. By the latter term, we mean analytic continuation as a
multivalued analytic function in the complex numbers minus a discrete set of
points, with restricted singularities, local and global monodromy. We point out
some key features of arithmetic resurgence in connection to various problems of
asymptotic expansions of exact and perturbative Chern-Simons theory with
compact or complex gauge group. Finally, we discuss theoretical and
experimental evidence for our conjecture.


title:
Isospin and momentum dependence of liquid-gas phase transition in hot
  asymmetric nuclear matter

abstract:
  The liquid-gas phase transition in hot neutron-rich nuclear matter is
investigated within a self-consistent thermal model using different
interactions with or without isospin and/or momentum dependence. The boundary
of the phase-coexistence region is shown to be sensitive to the density
dependence of the nuclear symmetry energy as well as the isospin and momentum
dependence of the nuclear interaction.


title:
Central limit theorem for linear eigenvalue statistics of orthogonally
  invariant matrix models

abstract:
  We prove central limit theorem for linear eigenvalue statistics of
orthogonally invariant ensembles of random matrices with one interval limiting
spectrum. We consider ensembles with real analytic potentials and test
functions with two bounded derivatives.


title: Polygonization of carbon nanotubes

abstract:
  We use a multiscale procedure to derive a simple continuum model of
multiwalled carbon nanotubes that takes into account both strong covalent bonds
within graphene layers and weak bonds between atoms in different layers. The
model predicts polygonization of crossections of large multiwalled nanotubes as
a consequence of their curvature-induced turbostratic structure.


title: Uniqueness Theorems for Meromorphic Mappings with Few Targets

abstract:
  The purpose of this article is to show uniqueness theorems for meromorphic
mappings of C^m to CP^n with few hyperplanes H_j, j=1,...,q. It is well known
that uniqueness theorems hold for q \geq 3n+2.
  In this paper we show that for every nonnegative integer c there exists a
positive integer N(c), depending only on c in an explicit way, such that
uniqueness theorems hold if q\geq (3n+2 -c) and n\geq N(c). Furthermore, we
also show that the coefficient of n in the formula of q can be replaced by a
number which is strictly smaller than 3 for all n>>0. At the same time, a big
number of recent uniqueness theorems are generalized considerably.


title: Status of Deeply Inelastic Parton Distributions

abstract:
  A brief review on the status of unpolarized parton densities and the
determination of the QCD scale $\Lambda_{\rm QCD}$ from deep-inelastic
scattering data is presented.


title: A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes

abstract:
  In a previous paper arXiv:0707.2775 [gr-qc] we showed that stationary
asymptotically flat vacuum black hole solutions in 5 dimensions with two
commuting axial Killing fields can be completely characterized by their mass,
angular momentum, a set of real moduli, and a set of winding numbers. In this
paper we generalize our analysis to include Maxwell fields.


title: An analysis of a random algorithm for estimating all the matchings

abstract:
  Counting the number of all the matchings on a bipartite graph has been
transformed into calculating the permanent of a matrix obtained from the
extended bipartite graph by Yan Huo, and Rasmussen presents a simple approach
(RM) to approximate the permanent, which just yields a critical ratio
O($n\omega(n)$) for almost all the 0-1 matrices, provided it's a simple
promising practical way to compute this #P-complete problem. In this paper, the
performance of this method will be shown when it's applied to compute all the
matchings based on that transformation. The critical ratio will be proved to be
very large with a certain probability, owning an increasing factor larger than
any polynomial of $n$ even in the sense for almost all the 0-1 matrices. Hence,
RM fails to work well when counting all the matchings via computing the
permanent of the matrix. In other words, we must carefully utilize the known
methods of estimating the permanent to count all the matchings through that
transformation.


title:
The Stability of an Expanding Circular Cavity and the Failure of
  Amorphous Solids

abstract:
  Recently, the existence and properties of unbounded cavity modes, resulting
in extensive plastic deformation failure of two-dimensional sheets of amorphous
media, were discussed in the context of the athermal Shear-Transformation-Zones
(STZ) theory. These modes pertain to perfect circular symmetry of the cavity
and the stress conditions. In this paper we study the shape stability of the
expanding circular cavity against perturbations, in both the unbounded and the
bounded growth regimes (for the latter the unperturbed theory predicts no
catastrophic failure). Since the unperturbed reference state is time dependent,
the linear stability theory cannot be cast into standard time-independent
eigenvalue analysis. The main results of our study are: (i) sufficiently small
perturbations are stable, (ii) larger perturbations within the formal linear
decomposition may lead to an instability; this dependence on the magnitude of
the perturbations in the linear analysis is a result of the non-stationarity of
the growth, (iii) the stability of the circular cavity is particularly
sensitive to perturbations in the effective disorder temperature; in this
context we highlight the role of the rate sensitivity of the limiting value of
this effective temperature. Finally we point to the importance of the form of
the stress-dependence of the rate of STZ transitions. The present analysis
indicates the importance of nonlinear effects that were not taken into account
yet. Even more importantly, the analysis suggests that details of the
constitutive relations appearing in the theory can be constrained by the modes
of macroscopic failure in these amorphous systems.


title:
Unexpected features of e+e-->ppbar and e+e-->lambda-lambdabar cross
  sections near threshold

abstract:
  Unexpected features of the BaBar data on e+e- in baryon-antibaryon cross
sections are discussed. These data have been collected, with unprecedented
accuracy, by means of the initial state radiation technique, which is
particularly suitable in giving good acceptance and energy resolution at
threshold. A striking feature observed in the BaBar data is the non-vanishing
cross section at threshold for all these processes. This is the expectation due
to the Coulomb enhancement factor acting on a charged fermion pair. In the case
of e+e- in proton-antiproton it is found that Coulomb final state interactions
largely dominate the cross section and the form factor is |G^p(4M^2_p)|~1,
which could be a general feature for baryons. In the case of neutral baryons an
interpretation of the non-vanishing cross section at threshold is suggested,
based on quark electromagnetic interaction and taking into account the
asymmetry between attractive and repulsive Coulomb factors. Besides strange
baryon cross sections are compared to U-spin invariance predictions.


title: Anomalous diffusion and quasistationarity in the HMF model

abstract:
  We explore the quasistationary regime of the Hamiltonian Mean Field Model
(HMF) showing that at least three different classes of events exist, with a
different diffusive behavior and with a relative frequency which depends on the
size of the system. Along the same line of a recent work \cite{epl}, these
results indicate that one must be very careful in exchanging time averages with
ensemble averages during the non-ergodic metastable regime and at the same time
they emphasize the role of finite size effects in the evaluation of the
diffusive properties of the system.


title: Bers and H\'enon, Painlev\'e and Schroedinger

abstract:
  We study the dynamics of mapping class groups on 2-dimensional character
varieties. We shall show that the dynamics of pseudo-Anosov mapping classes
resembles in many ways the dynamics of H\'enon mappings, and then apply this
idea to answer open questions concerning the geometry of discrete and faithful
representations, Painlev\'e sixth equation, and discrete Schroedinger
operators.


title:
On the optimality of individual entangling-probe attacks against BB84
  quantum key distribution

abstract:
  It is shown that an existing method to study ideal individual attacks on the
BB84 QKD protocol using error discard can be adapted to reconciliation with
error correction, and that an optimal attack can be explicitly found. Moreover,
this attack fills Luetkenhaus bound, independently of whether error positions
are leaked to Eve, proving that it is tight. In addition, we clarify why the
existence of such optimal attacks is not in contradiction with the established
``old-style'' theory of BB84 individual attacks, as incorrectly suggested
recently in a news feature.


title: Self-Similar Dynamics of a Relativistically Hot Gas

abstract:
  In the presence of self-gravity, we investigate the self-similar dynamics of
a relativistically hot gas with or without shocks in astrophysical processes of
stellar core collapse, formation of compact objects, and supernova remnants
with central voids. The model system is taken to be spherically symmetric and
the conservation of specific entropy along streamlines is adopted for a
relativistic hot gas. In terms of equation of state, this leads to a polytropic
index $\gamma=4/3$. The conventional polytropic gas of $P=\kappa\rho^\gamma$,
where $P$ is the thermal pressure, $\rho$ is the mass density, $\gamma$ is the
polytropic index, and $\kappa$ is a global constant, is included in our
theoretical model framework. Two qualitatively different solution classes arise
according to the values of a simple power-law scaling index $a$, each of which
is analyzed separately and systematically. We obtain new asymptotic solutions
that exist only for $\gamma=4/3$. Global and asymptotic solutions in various
limits as well as eigensolutions across sonic critical lines are derived
analytically and numerically with or without shocks. By specific entropy
conservation along streamlines, we extend the analysis of Goldreich & Weber for
a distribution of variable specific entropy with time $t$ and radius $r$ and
discuss consequences in the context of a homologous core collapse prior to
supernovae. As an alternative rebound shock model, we construct an Einstein-de
Sitter explosion with shock connections with various outer flows including a
static outer part of a singular polytropic sphere (SPS). Under the joint action
of thermal pressure and self-gravity, we can also construct self-similar
solutions with central spherical voids with sharp density variations along
their edges.


title:
Semicircle law on short scales and delocalization of eigenvectors for
  Wigner random matrices

abstract:
  We consider $N\times N$ Hermitian random matrices with i.i.d. entries. The
matrix is normalized so that the average spacing between consecutive
eigenvalues is of order $1/N$. We study the connection between eigenvalue
statistics on microscopic energy scales $\eta\ll1$ and (de)localization
properties of the eigenvectors. Under suitable assumptions on the distribution
of the single matrix elements, we first give an upper bound on the density of
states on short energy scales of order $\eta \sim\log N/N$. We then prove that
the density of states concentrates around the Wigner semicircle law on energy
scales $\eta\gg N^{-2/3}$. We show that most eigenvectors are fully delocalized
in the sense that their $\ell^p$-norms are comparable with
$N^{{1}/{p}-{1}/{2}}$ for $p\ge2$, and we obtain the weaker bound
$N^{{2}/{3}({1}/{p}-{1}/{2})}$ for all eigenvectors whose eigenvalues are
separated away from the spectral edges. We also prove that, with a probability
very close to one, no eigenvector can be localized. Finally, we give an optimal
bound on the second moment of the Green function.


title:
Key rate available from mismatched mesurements in the BB84 protocol and
  the uncertainty principle

abstract:
  We consider the mismatched measurements in the BB84 quantum key distribution
protocol, in which measuring bases are different from transmitting bases. We
give a lower bound on the amount of a secret key that can be extracted from the
mismatched measurements. Our lower bound shows that we can extract a secret key
from the mismatched measurements with certain quantum channels, such as the
channel over which the Hadamard matrix is applied to each qubit with high
probability. Moreover, the entropic uncertainty principle implies that one
cannot extract the secret key from both matched measurements and mismatched
ones simultaneously, when we use the standard information reconciliation and
privacy amplification procedure.


title:
Polaron Coherence Condensation as the Mechanism for Colossal
  Magnetoresistance in Layered Manganites

abstract:
  Angle-resolved photoemission spectroscopy data for the bilayer manganite
La1.2Sr1.8Mn2O7 show that, upon lowering the temperature below the Curie point,
a coherent polaronic metallic groundstate emerges very rapidly with well
defined quasiparticles which track remarkably well the electrical conductivity,
consistent with macroscopic transport properties. Our data suggest that the
mechanism leading to the insulator-to-metal transition in La1.2Sr1.8Mn2O7 can
be regarded as a polaron coherence condensation process acting in concert with
the Double Exchange interaction.


title: Clifford quantum computer and the Mathieu groups

abstract:
  One learned from Gottesman-Knill theorem that the Clifford model of quantum
computing \cite{Clark07} may be generated from a few quantum gates, the
Hadamard, Phase and Controlled-Z gates, and efficiently simulated on a
classical computer. We employ the group theoretical package GAP\cite{GAP} for
simulating the two qubit Clifford group $\mathcal{C}_2$. We already found that
the symmetric group S(6), aka the automorphism group of the generalized
quadrangle W(2), controls the geometry of the two-qubit Pauli graph
\cite{Pauligraphs}. Now we find that the {\it inner} group
${Inn}(\mathcal{C}_2)=\mathcal{C}_2/{Center}(\mathcal{C}_2)$ exactly contains
two normal subgroups, one isomorphic to $\mathcal{Z}_2^{\times 4}$ (of order
16), and the second isomorphic to the parent $A'(6)$ (of order 5760) of the
alternating group A(6). The group $A'(6)$ stabilizes an {\it hexad} in the
Steiner system $S(3,6,22)$ attached to the Mathieu group M(22). Both groups
A(6) and $A'(6)$ have an {\it outer} automorphism group $\mathcal{Z}_2\times
\mathcal{Z}_2$, a feature we associate to two-qubit quantum entanglement.


title: Base change for semiorthogonal decompositions

abstract:
  Consider an algebraic variety $X$ over a base scheme $S$ and a faithful base
change $T \to S$. Given an admissible subcategory $\CA$ in the bounded derived
category of coherent sheaves on $X$, we construct an admissible subcategory in
the bounded derived category of coherent sheaves on the fiber product
$X\times_S T$, called the base change of $\CA$, in such a way that the
following base change theorem holds: if a semiorthogonal decomposition of the
bounded derived category of $X$ is given then the base changes of its
components form a semiorthogonal decomposition of the bounded derived category
of the fiber product. As an intermediate step we construct a compatible system
of semiorthogonal decompositions of the unbounded derived category of
quasicoherent sheaves on $X$ and of the category of perfect complexes on $X$.
As an application we prove that the projection functors of a semiorthogonal
decomposition are kernel functors.


title: Evolution towards the critical limit and the origin of Be stars

abstract:
  We determine which are the mechanisms accelerating the surface of single
stars during the Main Sequence evolution. We have computed 112 stellar models
of four different initial masses between 3 and 60 M_sun, at four different
metallicities between 0 and 0.020, and with seven different values of the ratio
Omega/Omega_crit between 0.1 and 0.99. For all the models, computations were
performed until either the end of the Main Sequence evolution or the reaching
of the critical limit. The evolution of surface velocities during the Main
Sequence lifetime results from an interplay between meridional circulation
(bringing angular momentum to the surface) and mass loss by stellar winds
(removing it). The dependence on metallicity of these two mechanisms plays a
key role in determining for each metallicity, a limiting range of initial
masses (spectral types) for stars able to reach or at least approach the
critical limit. Present models predict a higher frequency of fast rotating
stars in clusters with ages between 10 and 25 Myr. This is the range of ages
where most of Be stars are observed.


title:
Stability of the Solutions of Instantaneous Bethe-Salpeter Equations
  with Confining Interactions

abstract:
  For two bound-state equations derived as simplified forms of the
Bethe-Salpeter equation with confining interaction, stability of all solutions
is rigorously shown.


title:
Schwarz Reflection Principle, Boundary Regularity and Compactness for
  J-Complex Curves

abstract:
  We establish the Schwarz Reflection Principle for $J$-complex discs attached
to a real analytic $J$-totally real submanifold of an almost complex manifold
with real analytic $J$. We also prove the precise boundary regularity and
derive the precise convergence in Gromov compactness theorem in
$\calc^{k,\alpha}$-classes.


title:
Transfer Matrices and Partition-Function Zeros for Antiferromagnetic
  Potts Models. V. Further Results for the Square-Lattice Chromatic Polynomial

abstract:
  We derive some new structural results for the transfer matrix of
square-lattice Potts models with free and cylindrical boundary conditions. In
particular, we obtain explicit closed-form expressions for the dominant (at
large |q|) diagonal entry in the transfer matrix, for arbitrary widths m, as
the solution of a special one-dimensional polymer model. We also obtain the
large-q expansion of the bulk and surface (resp. corner) free energies for the
zero-temperature antiferromagnet (= chromatic polynomial) through order q^{-47}
(resp. q^{-46}). Finally, we compute chromatic roots for strips of widths 9 <=
m <= 12 with free boundary conditions and locate roughly the limiting curves.


title: Galois actions on models of curves

abstract:
  We study group actions on regular models of curves. If $X$ is a smooth curve
defined over the fraction field $K$ of a complete d.v.r. $R$, every tamely
ramified extension $K'/K$ with Galois group $G$ induces a $G$-action on
$X_{K'}$. In this paper we study the extension of this $G$-action to certain
regular models of $X_{K'}$. In particular, we obtain a formula for the Brauer
trace of the endomorphism induced by a group element on the alternating sum of
the cohomology groups of the structure sheaf of the special fiber of such a
regular model. Inspired by this global study, we also consider similar
questions for Galois actions on the exceptional locus of a tame cyclic quotient
singularity.
  We apply these results to study a natural filtration of the special fiber of
the N\'eron model of the Jacobian of $X$ by closed, unipotent subgroup schemes.
We show that the jumps in this filtration only depend on the fiber type of the
special fiber of the minimal regular model with strict normal crossings for $X$
over $\Spec(R)$, and in particular are independent of the residue
characteristic. Furthermore, we obtain information about where these jumps
occur. We also compute the jumps for each of the finitely many possible fiber
type for curves of genus 1 and 2.


title:
When do linear combinations of orthogonal polynomials yield new
  sequences of orthogonal polynomials?

abstract:
  Given $\{P_n \}$ a sequence of monic orthogonal polynomials, we analyze their
linear combinations $\{Q_n \}$with constant coefficients and fixed length
$k+1$. Necessary and sufficient conditions are given for the orthogonality of
the monic sequence $\{Q_n \}$ as well as an interesting interpretation in terms
of the Jacobi matrices associated with $\{P_n \}$ and $\{Q_n \}$. Moreover, in
the case $k=2$, we characterize the families $\{P_n \}$ such that the
corresponding polynomials $\{Q_n \}$ are also orthogonal.


title: Phase behavior of wormlike rods

abstract:
  By employing Molecular Dynamics computer simulations, the phase behavior of
systems of rodlike particles with varying degree of internal flexibility has
been traced from the perfectly rigid rod limit till very flexible particles,
and from the high density region till the isotropic phase. From the perfectly
rigid rod limit and enhancing the internal flexibility, the range of the
smectic A phase is squeezed out by the concomitant action of the scarcely
affected crystalline phase at higher density and the nematic phase at lower
density, until it disappears. These results confirm the supposition, drawn from
previous theoretical, simulational and experimental studies, that the smectic A
phase is destabilized by introducing and enhancing the degree of particle
internal flexibility. However, no significant changes in the order of
nematic--to--smectic A phase transition, which appears always first order, nor
in the value of the layer spacing, are observed upon varying the degree of
particle internal flexibility. Moreover, no evidence of a columnar phase, which
was tought of as a possible superseder of the smectic A phase in flexible rods,
has been obtained.


title: In response to the comments by Murphy et al. (arxiv:0708.3677)

abstract:
  In their comment, Murphy et al. (arxiv:0708.3677) criticize the fitting
procedure we used in two previous papers [Srianand et al. 2004(Paper I) and
Chand et al. 2004 (Paper II)] and conclude that the above papers offers no
stringent test to previous evidence for varying fine structure constant. We
think this is a hasty conclusion as (a) our procedure is robust as shown in
Paper II; (b) the data used by Murphy et al., in particular the error array,
are different from ours and there are differences in the fitting procedure; (c)
despite these differences, 70 per cent of their individual measurements are
consistent with that quoted in Paper II. Our reanalysis using VPFIT with
identical initial guess parameters leads to \Delta\alpha/\alpha =
(0.01+/-0.15)x 10^{-5}$ for 21 systems (excluding two systems that deviate at
more than 3$\sigma$ level) with very little scatter (\chi^2_\nu ~1).


title: Heavy quarkonium in any channel in resummed hot QCD

abstract:
  We elaborate on the fact that quarkonium in hot QCD should not be thought of
as a stationary bound state in a temperature-dependent real potential, but as a
short-lived transient, with an exponentially decaying wave function. The reason
is the existence of an imaginary part in the pertinent static potential,
signalling the ``disappearance'', due to inelastic scatterings with hard
particles in the plasma, of the off-shell gluons that bind the quarks together.
By solving the corresponding Schr\"odinger equation, we estimate numerically
the near-threshold spectral functions in scalar, pseudoscalar, vector and axial
vector channels, as a function of the temperature and of the heavy quark mass.
In particular, we point out a subtlety in the determination of the scalar
channel spectral function and, resolving it to the best of our understanding,
suggest that at least in the bottomonium case, a resonance peak can be observed
also in the scalar channel, even though it is strongly suppressed with respect
to the peak in the vector channel. Finally, we plot the physical dilepton
production rate, stressing that despite the eventual disappearance of the
resonance peak from the corresponding spectral function, the quarkonium
contribution to the dilepton rate becomes more pronounced with increasing
temperature, because of the yield from free heavy quarks.


title:
Cosmological constant, brane tension and large hierarchy in a
  generalized Randall-Sundrum braneworld scenario

abstract:
  We consider a generalized Randall Sundrum (RS) brane world scenario with a
cosmological constant $\Omega$ induced on the visible brane. We show that for
$\Omega<0$, resolution of the hierarchy problem requires an upper bound on the
magnitude of $\Omega$. The corresponding tension on the visible brane can be
positive or negative. On the other hand, there is no such bound for $\Omega>0$.
However, in this case, the resolution of the hierarchy problem along with the
tuning of the value of the cosmological constant to its observed value closed
to $+10^{-124}$ (in Planck units) naturally lead to the tuning of the modulus
to a small value of inverse Planck length as estimated in the original RS
scenario.


title: An x-ray resonant diffraction study of multiferroic DyMn2O5

abstract:
  X-ray resonant scattering has been used to measure the magnetic order of the
Dy ions below 40K in multiferroic DyMn$_{2}$O$_{5}$. The magnetic order has a
complex behaviour. There are several different ordering wavevectors, both
incommensurate and commensurate, as the temperature is varied. In addition a
non-magnetic signal at twice the wavevector of one of the commensurate signals
is observed, the maximum intensity of which occurs at the same temperature as a
local maximum in the ferroelectric polarisation. Some of the results, which
bear resemblence to the behaviour of other members of the RMn$_{2}$O$_{5}$
family of multiferroic materials, may be explained by a theory based on
so-called acentric spin-density waves.


title: Lupus-TR-3b: A Low-Mass Transiting Hot Jupiter in the Galactic Plane?

abstract:
  We present a strong case for a transiting Hot Jupiter planet identified
during a single-field transit survey towards the Lupus Galactic plane. The
object, Lupus-TR-3b, transits a V=17.4 K1V host star every 3.91405d.
Spectroscopy and stellar colors indicate a host star with effective temperature
5000 +/- 150K, with a stellar mass and radius of 0.87 +/- 0.04M_sun and 0.82
+/- 0.05R_sun, respectively. Limb-darkened transit fitting yields a companion
radius of 0.89 +/- 0.07R_J and an orbital inclination of 88.3 +1.3/-0.8 deg.
Magellan 6.5m MIKE radial velocity measurements reveal a 2.4 sigma K=114 +/-
25m/s sinusoidal variation in phase with the transit ephemeris. The resulting
mass is 0.81 +/- 0.18M_J and density 1.4 +/- 0.4g/cm^3. Y-band PANIC image
deconvolution reveal a V>=21 red neighbor 0.4'' away which, although highly
unlikely, we cannot conclusively rule out as a blended binary with current
data. However, blend simulations show that only the most unusual binary system
can reproduce our observations. This object is very likely a planet, detected
from a highly efficient observational strategy. Lupus-TR-3b constitutes the
faintest ground-based detection to date, and one of the lowest mass Hot
Jupiters known.


title: Explicit matrices for Hecke operators on Siegel modular forms

abstract:
  We present an explicit set of matrices giving the action of the Hecke
operators $T(p)$, $T_j(p^2)$ on Siegel modular forms.


title: Why Renormalizable NonCommutative Quantum Field Theories?

abstract:
  We complete our previous recent review on noncommutative field theory,
discussing in particular the constructive aproach to the Grosse-Wulkenhaar
theory. We also suggest that by gluing together many Grosse-Wulkenhaar theories
at high energy one can obtain an effective commutative field theory at lower
energy.


title:
The relationship between the prestellar core mass function and the
  stellar initial mass function

abstract:
  Stars form from dense molecular cores, and the mass function of these cores
(the CMF) is often found to be similar to the form of the stellar initial mass
function (IMF). This suggests that the form of the IMF is the result of the
form of the CMF. However, most stars are thought to form in binary and multiple
systems, therefore the relationship between the IMF and the CMF cannot be
trivial. We test two star formation scenarios - one in which all stars form as
binary or triple systems, and one in which low-mass stars form in a
predominantly single mode. We show that from a log-normal CMF, similar to those
observed, and expected on theoretical grounds, the model in which all stars
form as multiples gives a better fit to the IMF.


title: Self-Organized Criticality and earthquakes

abstract:
  We discuss recent results on a new analysis regarding models showing
Self-Organized Criticality (SOC), and in particular on the OFC one. We show
that Probability Density Functions (PDFs) for the avalanche size differences at
different times have fat tails with a q-Gaussian shape. This behavior does not
depend on the time interval adopted and it is also found when considering
energy differences between real earthquakes.


title:
Paleontological Tests: Human-like Intelligence is not a Convergent
  Feature of Evolution

abstract:
  We critically examine the evidence for the idea that encephalization
quotients increase with time. We find that human-like intelligence is not a
convergent feature of evolution. Implications for the search for
extraterrestrial intelligence are discussed.


title: Panel discussion I: Star formation in galaxies: how do we continue?

abstract:
  This is the written account of the first of two panel discussions, on "Star
formation in galaxies: how do we continue?" The chair of the panel was Phil
James, and panel members were John Beckman, Torsten Boeker, Daniela Calzetti,
Angeles Diaz, and Rob Kennicutt. The panel and audience discussed the four
following questions: 1) What are the most critically needed techniques to give
accurate measurements of total rates and efficiencies of star formation? 2) Do
we understand the form of the initial mass function and its variation as a
function of redshift and environment? 3) Are there multiple modes of star
formation in galaxies (bulge vs. disk, burst vs. continuous) or does the
Schmidt law explain everything? 4) How do we bring together our understanding
of star formation in our Galaxy and in external systems?


title: On small fractional parts of polynomials

abstract:
  We prove that for any real polynomial $f(x) \in\mathbb{R} [x]$ the set $$
\{\alpha \in \mathbb{R}: \liminf_{n\to \infty} n\log n ||\alpha f(n)|| >0\} $$
has positive Hausdorff dimension. Here $||\xi ||$ means the distance from $\xi
$ to the nearest integer. Our result is based on an original method due to Y.
Peres and W. Schlag.


title:
Panel discussion II: Reconciling observations and modeling of star
  formation at high redshifts

abstract:
  This is the written account of the second of two panel discussions, on
"Reconciling observations and modeling of star formation at high redshifts".
The chair of the panel was Pavel Kroupa, and panel members were Marc Balcells,
John Beckman, Christopher Conselice, and Joseph Silk. After a short
introduction by each of the panelists, panel and audience entered into a lively
discussion, centered around the following six themes: the mass function of
pre-stellar gas clouds; a possible top-heavy initial mass function at high
redshifts versus mini-quasars as the first sources of ionization; the
integrated galactic initial mass function; possible differences in specific
star formation rates in disks and in massive galaxies; whether merging rates
yield a wrong prediction for massive galaxies, and what is the physics behind
the onset of the red sequence of galaxies; and the case of dark
matter-dominated dwarf galaxies versus tidal dwarf galaxies.


title: Meet the COG's

abstract:
  Kinematics combined with detailed element abundances provide the method of
analysis of stellar populations using as much available information as
possible, in contrast to other methods. Here we employ this technique on local
HBA stars in an ongoing programme to search for omega Centauri debris among
these objects, which led us to discover another group of stars with very
similar kinematics and abundances, the Cometary Orbit Group (COG). We also
comment on the future of this kind of undertaking in the Gaia era.


title: Quantum phase estimation algorithm in presence of static imperfections

abstract:
  We study numerically the effects of static imperfections and residual
couplings between qubits for the quantum phase estimation algorithm with two
qubits. We show that the success probability of the algorithm is affected
significantly more by static imperfections than by random noise errors in
quantum gates. An improvement of the algorithm accuracy can be reached by
application of the Pauli-random-error-correction method (PAREC).


title:
Nucleon form factors induced by isovector and isoscalar axial-vector
  currents in QCD

abstract:
  Using the most general form of the baryon current, nucleon form factors,
induced by isovector and isoscalar axial-vector currents, are studied in the
framework of light cone QCD sum rule approach. Comparison of our results on
form factors with the existing results and lattice calculations are presented.


title: Chiral Brownian heat pump

abstract:
  We present the exact analysis of a chiral Brownian motor and heat pump.
Optimization of the construction predicts, for a nanoscale device, frequencies
of the order of kHz and cooling rates of the order of femtojoule per second.


title:
The Number of Different Effective Partitions and a Specific Goldbach
  Partition of Any Given Even Number Greater Than 6

abstract:
  A specific Goldbach partition of any given even number greater than 6 can be
found definitely.


title:
Impurity effects on the band structure of one-dimensional photonic
  crystals: Experiment and theory

abstract:
  We study the effects of single impurities on the transmission in microwave
realizations of the photonic Kronig-Penney model, consisting of arrays of
Teflon pieces alternating with air spacings in a microwave guide. As only the
first propagating mode is considered, the system is essentially one dimensional
obeying the Helmholtz equation. We derive analytical closed form expressions
from which the band structure, frequency of defect modes, and band profiles can
be determined. These agree very well with experimental data for all types of
single defects considered (e.g. interstitial, substitutional) and shows that
our experimental set-up serves to explore some of the phenomena occurring in
more sophisticated experiments. Conversely, based on the understanding provided
by our formulas, information about the unknown impurity can be determined by
simply observing certain features in the experimental data for the
transmission. Further, our results are directly applicable to the closely
related quantum 1D Kronig-Penney model.


title: The low-dimensional structures formed by tricategories

abstract:
  We form tricategories and the homomorphisms between them into a bicategory,
whose 2-cells are certain degenerate tritransformations. We then enrich this
bicategory into an example of a three-dimensional structure called a locally
cubical bicategory, this being a bicategory enriched in the monoidal 2-category
of pseudo double categories. Finally, we show that every sufficiently
well-behaved locally cubical bicategory gives rise to a tricategory, and
thereby deduce the existence of a tricategory of tricategories.


title: Capturing Relic Neutrinos with beta-decaying nuclei

abstract:
  We summarize a novel approach which has been recently proposed for direct
detection of low energy neutrino backgrounds such as the cosmological relic
neutrinos, exploiting neutrino/antineutrino capture on nuclei that
spontaneously undergo beta decay.


title:
Second order differential operators having several families of
  orthogonal matrix polynomials as eigenfunctions

abstract:
  The aim of this paper is to bring into the picture a new phenomenon in the
theory of orthogonal matrix polynomials satisfying second order differential
equations. The last few years have witnessed some examples of a (fixed) family
of orthogonal matrix polynomials whose elements are common eigenfunctions of
several linearly independent second order differential operators. We show that
the dual situation is also possible: there are examples of different families
of matrix polynomials, each family orthogonal with respect to a different
weight matrix, whose elements are eigenfunctions of a common second order
differential operator.
  These examples are constructed by adding a discrete mass at certain point to
a weight matrix: $\widetilde{W}=W+\delta_{t_0}M(t_0)$. Our method consists in
showing how to choose the discrete mass $M(t_0)$, the point $t_0$ where the
mass lives and the weight matrix $W$ so that the new weight matrix
$\widetilde{W}$ inherits some of the symmetric second order differential
operators associated with $W$. It is well known that this situation is not
possible for the classical scalar families of Hermite, Laguerre and Jacobi.


title: Nonlinear statistics of quantum transport in chaotic cavities

abstract:
  In the framework of the random matrix approach, we apply the theory of
Selberg's integral to problems of quantum transport in chaotic cavities. All
the moments of transmission eigenvalues are calculated analytically up to the
fourth order. As a result, we derive exact explicit expressions for the
skewness and kurtosis of the conductance and transmitted charge as well as for
the variance of the shot-noise power in chaotic cavities. The obtained results
are generally valid at arbitrary numbers of propagating channels in the two
attached leads. In the particular limit of large (and equal) channel numbers,
the shot-noise variance attends the universal value 1/(64\beta) that determines
a universal Gaussian statistics of shot-noise fluctuations in this case.


title: Kinematic calibration of orthoglide-type mechanisms

abstract:
  The paper proposes a novel calibration approach for the Orthoglide-type
mechanisms based on observations of the manipulator leg parallelism during
mo-tions between the prespecified test postures. It employs a low-cost
measuring system composed of standard comparator indicators attached to the
universal magnetic stands. They are sequentially used for measuring the
deviation of the relevant leg location while the manipulator moves the TCP
along the Cartesian axes. Using the measured differences, the developed
algorithm estimates the joint offsets that are treated as the most essential
parameters to be adjusted. The sensitivity of the meas-urement methods and the
calibration accuracy are also studied. Experimental re-sults are presented that
demonstrate validity of the proposed calibration technique


title: Achieving the Gaussian Rate-Distortion Function by Prediction

abstract:
  The "water-filling" solution for the quadratic rate-distortion function of a
stationary Gaussian source is given in terms of its power spectrum. This
formula naturally lends itself to a frequency domain "test-channel"
realization. We provide an alternative time-domain realization for the
rate-distortion function, based on linear prediction. This solution has some
interesting implications, including the optimality at all distortion levels of
pre/post filtered vector-quantized differential pulse code modulation (DPCM),
and a duality relationship with decision-feedback equalization (DFE) for
inter-symbol interference (ISI) channels.


title:
Pictorial Representation for Antisymmetric Eigenfunctions of PS-3
  Integral Equations

abstract:
  Eigenvalue problem for Poincare-Steklov-3 integral equation is reduced to the
solution of three transcendential equations for three unknown numbers, moduli
of pants. The complete list of antisymmetric eigenfunctions of integral
equation in terms of Kleinian membranes is given.


title:
Influence of disorder on the transport properties of heavy-fermion
  systems

abstract:
  The influence of substitutional disorder on the transport properties of
heavy-fermion systems is investigated. We extend the dynamical mean-field
theory treatment of the periodic Anderson model (PAM) to a coherent-potential
approximation for disordered strongly correlated electron systems. Considering
two distinct local environments of a binary alloy $A_c B_{1-c}$ with arbitrary
concentration $c$, we explore two types of disorder: on the f site and on the
ligand sites. We calculate the spectral functions and self-energies for the
disordered PAM as well as the temperature dependence of the resistivity and the
thermoelectric power. The characteristic concentration dependence as well as
the order of magnitude of transport properties are reproduced for metallic
heavy-fermion systems and Kondo insulators. In particular, sign changes of the
Seebeck coefficient as function of temperature and concentration are observed.


title: Constructible ideals

abstract:
  We introduce the concept of constructible ideal and we relate this concept
with the notion of constructible simplicial complex. Several properties of
constructible ideals are studied.


title:
Mutual phase-locking in high frequency microwave nanooscillators as
  function of field angle

abstract:
  We perform a qualitative analysis of phase locking in a double point-contact
spinvalve system by solving the Landau-Lifshitz-Gilbert-Slonzewski equation
using a hybrid-finite-element method. We show that the phase-locking behaviour
depends on the applied field angle. Starting from a low field angle, the
locking-current difference between the current through contact A and B
increases with increasing angle up to a maximum of 14 mA at 30 degree and it
decreases thereafter until it reaches a minimum of 1 mA at 75 degree. The
tunability of the phase-lock frequency with current decreases linearly with
increasing out of plane angle from 45 to 21 MHz/mA.


title:
Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic
  Curves

abstract:
  Let L(E/Q,s) be the L-function of an elliptic curve E defined over the
rational field Q. We examine the vanishing and non-vanishing of the central
values L(E,1,\chi) of the twisted L-function as \chi ranges over Dirichlet
characters of given order.


title: Bloch oscillations of atoms in an optical multiphoton potential

abstract:
  We report on experiments studying transport properties of an atomic
Bose-Einstein condensate in an optical lattice of spatial period $\lambda/2n$,
where $n$ is an integer, realized with the dispersion of multiphoton Raman
transitions. We observe Bloch oscillations, as a clear effect of quantum
transport, in the sub-wavelength scale periodicity lattice. The unusually
strong localisation of atoms is evident from the measured effective mass.
Future prospects of the novel lattice structures are expected in the search for
new quantum phases in tailored lattice structures up to quantum computing in
optical nanopotentials.


title:
Landau Analog Levels for Dipoles in the Noncommutative Space and Phase
  Space

abstract:
  In the present contribution we investigate the Landau analog energy
quantization for neutral particles, that possesses a nonzero permanent magnetic
and electric dipole moments, in the presence of an homogeneous electric and
magnetic external fields in the context of the noncommutative quantum
mechanics. Also, we analyze the Landau--Aharonov--Casher and
Landau--He--McKellar--Wilkens quantization due to noncommutative quantum
dynamics of magnetic and electric dipoles in the presence of an external
electric and magnetic fields and the energy spectrum and the eigenfunctions are
obtained. Furthermore, we have analyzed Landau quantization analogs in the
noncommutative phase space, and we obtain also the energy spectrum and the
eigenfunctions in this context.


title: Planar Contact Structures with Binding Number Three

abstract:
  In this article, we find the complete list of all contact structures (up to
isotopy) on closed three-manifolds which are supported by an open book
decomposition having planar pages with three (but not less) boundary
components. We distinguish them by computing their first Chern classes and
three dimensional invariants (whenever possible). Among these contact
structures we also distinguish tight ones from those which are overtwisted.


title: The shape of the dark matter halo in the early-type galaxy NGC 2974

abstract:
  We present HI observations of the elliptical galaxy NGC 2974, obtained with
the Very Large Array. These observations reveal that the previously detected HI
disc in this galaxy (Kim et al. 1988) is in fact a ring. By studying the
harmonic expansion of the velocity field along the ring, we constrain the
elongation of the halo and find that the underlying gravitational potential is
consistent with an axisymmetric shape.
  We construct mass models of NGC 2974 by combining the HI rotation curve with
the central kinematics of the ionised gas, obtained with the integral-field
spectrograph SAURON. We introduce a new way of correcting the observed
velocities of the ionised gas for asymmetric drift, and hereby disentangle the
random motions of the gas caused by gravitational interaction from those caused
by turbulence. To reproduce the observed flat rotation curve of the HI gas, we
need to include a dark halo in our mass models. A pseudo-isothermal sphere
provides the best model to fit our data, but we also tested an NFW halo and
Modified Newtonian Dynamics (MOND), which fit the data marginally worse.
  The mass-to-light ratio M/L_I increases in NGC 2974 from 4.3 (M/L_I)sun at
one effective radius to 8.5 (M/L_I)sun at 5 Re. This increase of M/L already
suggests the presence of dark matter: we find that within 5 Re at least 55 per
cent of the total mass is dark.


title: Hot Jupiters and Central Cavities of Protoplanetary Discs

abstract:
  We investigate numerically the orbital evolution of massive extrasolar
planets within central cavities of their parent protoplanetary discs. Assuming
that they arrive at the inner edge of the disc due to type II migration, we
show that they spiral further in. We find that in magnetospheric cavities more
massive planets stop migrating at a larger distance from the edge of the disc.
This effect may qualitatively explain the correlation between masses and
orbital periods found for massive planets with P shorter than 5 days.


title: Sustainability: A Tedious Path to Galactic Colonization

abstract:
  Civilization cannot sustain an exponential growth for long time even when
neglecting numerous laws of physics! In this paper, we examine what are
fundamental obstacles to long term survival of a civilization and its
possibility to colonize the Galaxy. Using the solar system as a reference,
resources available for sustained growth are analyzed. Using this information,
we will explore the probability of discovering a civilization at its different
stage of energy evolution as estimating some possible value of L, the typical
life time of an extra-terrestrial civilization.


title:
Modules identification by a Dynamical Clustering algorithm based on
  chaotic R\"ossler oscillators

abstract:
  A new dynamical clustering algorithm for the identification of modules in
complex networks has been recently introduced \cite{BILPR}. In this paper we
present a modified version of this algorithm based on a system of chaotic
Roessler oscillators and we test its sensitivity on real and computer generated
networks with a well known modular structure.


title:
NIR spectroscopy of the most massive open cluster in the Galaxy:
  Westerlund 1

abstract:
  Using ISAAC/VLT, we have obtained individual spectra of all NIR-bright stars
in the central 2'x2' of the cluster Westerlund 1 (Wd 1) with a resolution of
R~9000 at a central wavelength of 2.30 micron. This allowed us to determine
radial velocities of ten post-main-sequence stars, and from these values a
velocity dispersion. Assuming virial equilibrium, the dispersion of sigma=8.4
km/s leads to a total dynamical cluster mass of 1.25x10^5 solar masses,
comparable to the photometric mass of the cluster. There is no extra-virial
motion which would have to be interpreted as a signature of cluster expansion
or dissolution.


title:
Nuclear kinetic energy spectra of D_2^+ in intense laser field: Beyond
  Born Oppenheimer approximation

abstract:
  Simultaneously, the vibrational nuclear dynamics and full dimensional
electronic dynamics of the deuterium molecular ion exposed to the linear
polarized intense laser field are studied. The time dependent Schr\"odinger
equation of the aligned D2+ with the electric laser field is solved for the
simulation of the complicated dissociative ionization processes and compared
with the recent related experimental results. In this work, the R-dependent
ionization rate and the enhanced ionization phenomenon beyond the
Born-Oppenheimer approximation (BOA) are introduced and calculated. The
substructure of the nuclear kinetic energy release spectra are revealed as the
Coulomb explosion energy spectra and dissociation energy spectra in the
dissociation-ionization channel. The significant and trace of these distinct
sub-spectra in the total spectra comparatively are displayed and discussed.


title: Detection of Endolithes Using Infrared Spectroscopy

abstract:
  On Earth, the Dry Valleys of Antarctica provide the closest martian-like
environment for the study of extremophiles. Colonies of bacteries are protected
from the freezing temperatures, the drought and UV light. They represent almost
half of the biomass of those regions. Due to there resilience, endolithes are
one possible model of martian biota. We propose to use infrared spectroscopy to
remotely detect those colonies even if there is no obvious sign of their
presence. This remote sensing approach reduces the risk of contamination or
damage to the samples.


title:
Hyper-Raman scattering analysis of the vibrations in vitreous boron
  oxide

abstract:
  Hyper-Raman scattering has been measured on vitreous boron oxide,
$v-$B$_2$O$_3$. This spectroscopy, complemented with Raman scattering and
infrared absorption, reveals the full set of vibrations that can be observed
with light. A mode analysis is performed based on the local D$_{3h}$ symmetry
of BO$_3$ triangles and B$_3$O$_3$ boroxol rings. The results show that in
$v-$B$_2$O$_3$ the main spectral components can be succesfully assigned using
this relatively simple model. In particular, it can be shown that the
hyper-Raman boson peak arises from external modes that correspond mainly to
librational motions of rigid boroxol rings.


title: Electromagnetic Fields on Fractals

abstract:
  Fractals are measurable metric sets with non-integer Hausdorff dimensions. If
electric and magnetic fields are defined on fractal and do not exist outside of
fractal in Euclidean space, then we can use the fractional generalization of
the integral Maxwell equations. The fractional integrals are considered as
approximations of integrals on fractals. We prove that fractal can be described
as a specific medium.


title:
Systemic risk in a network fragility model analyzed with probability
  density evolution of persistent random walks

abstract:
  We study the mean field approximation of a recent model of cascades on
networks relevant to the investigation of systemic risk control in financial
networks. In the model, the hypothesis of a trend reinforcement in the
stochastic process describing the fragility of the nodes, induces a trade-off
in the systemic risk with respect to the density of the network. Increasing the
average link density, the network is first less exposed to systemic risk, while
above an intermediate value the systemic risk increases. This result offers a
simple explanation for the emergence of instabilities in financial systems that
get increasingly interwoven. In this paper, we study the dynamics of the
probability density function of the average fragility. This converges to a
unique stable distribution which can be computed numerically and can be used to
estimate the systemic risk as a function of the parameters of the model.


title: Electrochemical lithium intercalation in nanosized manganese oxides

abstract:
  X-ray amorphous manganese oxides were prepared by reduction of sodium
permanganate by lithium iodide in aqueous medium (MnOx-I) and by decomposition
of manganese carbonate at moderate temperature (MnOx-C). TEM showed that these
materials are not amorphous, but nanostructured, with a prominent spinel
substructure in MnOx-C. These materials intercalate lithium with capacities up
to 200 mAh/g at first cycle (potential window 1.8-4.3 V) and 175 mAh/g at 100th
cycle. Best performances for MnOx-C are obtained with cobalt doping. Potential
electrochemical spectroscopy shows that the initial discharge induces a 2-phase
transformation in MnOx-C phases, but not in MnOx-I ones. EXAFS and XANES
confirm the participation of manganese in the redox process, with variations in
local structure much smaller than in known long-range crystallized manganese
oxides. X-ray absorption spectroscopy also shows that cobalt in MnOx-C is
divalent and does not participate in the electrochemical reaction.


title: A Mobile Computing Architecture for Numerical Simulation

abstract:
  The domain of numerical simulation is a place where the parallelization of
numerical code is common. The definition of a numerical context means the
configuration of resources such as memory, processor load and communication
graph, with an evolving feature: the resources availability. A feature is often
missing: the adaptability. It is not predictable and the adaptable aspect is
essential. Without calling into question these implementations of these codes,
we create an adaptive use of these implementations. Because the execution has
to be driven by the availability of main resources, the components of a numeric
computation have to react when their context changes. This paper offers a new
architecture, a mobile computing architecture, based on mobile agents and
JavaSpace. At the end of this paper, we apply our architecture to several case
studies and obtain our first results.


title: Coulomb Blockade of a Three-terminal Quantum Dot

abstract:
  We study an interacting single-level quantum dot weakly coupled to three
electrodes. When two electrodes are biased by voltages with opposite
polarities, while keeping the third lead (the stem) grounded, the current
through the stem is a measure of electron-hole asymmetry of the dot. In this
setup we calculate the stem current for both metallic and ferromagnetic
(collinearly polarized) leads and discuss how the three-terminal device gives
additional information compared to the usual two-terminal setup. We calculate
both the sequential and cotunneling contribution for the currents. For the
latter part we include a regularization procedure for the cotunneling current,
which enables us to also describe the behavior at the charge degeneracy points.


title: Product ecodesign and materials: current status and future prospects

abstract:
  The aim of this paper is to discuss the current status of ecodesign in the
industry and its future implications for materials. There is today more and
more focus on the environmental impacts of products during their whole life
cycle. In particular, ecodesign aims at integrating environmental aspects
during the product's design process as any other criterion, in order to reduce
the life cycle impacts. Although a lot of product environmental impact
assessment and Design for Environment tools already exist, environmental
aspects are unfortunately rarely routinely integrated into product development
process in the industry. This is mainly due to the fact that current ecodesign
tools are little adapted to designers' practices, requirements and
competencies. After the sequential and DfX paradigms, design of products is
today maturing into Integrated Design, where multiple points of views and
expertise have to be considered at the same time to progressively define the
product.


title: Renyi information for ergodic diffusion processes

abstract:
  In this paper we derive explicit formulas of the R\'enyi information, Shannon
entropy and Song measure for the invariant density of one dimensional ergodic
diffusion processes. In particular, the diffusion models considered include the
hyperbolic, the generalized inverse Gaussian, the Pearson, the exponential
familiy and a new class of skew-$t$ diffusions.


title:
Quantum unitary evolution of linearly polarized S^1\times S^2 and S^3
  Gowdy models coupled to massless scalar fields

abstract:
  The purpose of this paper is to study in detail the problem of defining
unitary evolution for linearly polarized S^1 x S^2 and S^3 Gowdy models (in
vacuum or coupled to massless scalar fields). We show that in the Fock
quantizations of these systems no choice of acceptable complex structure leads
to a unitary evolution for the original variables. Nonetheless, unitarity can
be recovered by suitable redefinitions of the basic fields. These are dictated
by the time dependent conformal factors that appear in the description of the
standard deparameterized form of these models as field theories in certain
curved backgrounds. We also show the unitary equivalence of the Fock
quantizations obtained from the SO(3)-symmetric complex structures for which
the dynamics is unitarily implemented.


title:
Obtaining the size distribution of fault gouges with polydisperse
  bearings

abstract:
  We generalize the recent study of random space-filling bearings to a more
realistic situation, where the spacing offset varies randomly during the
space-filling procedure, and show that it reproduces well the
size-distributions observed in recent studies of real fault gouges. In
particular, we show that the fractal dimensions of random polydisperse bearings
sweep predominantly the low range of values in the spectrum of fractal
dimensions observed along real faults, which strengthen the evidence that
polydisperse bearings may explain the occurrence of seismic gaps in nature. In
addition, the influence of different distributions for the offset is studied
and we find that the uniform distribution is the best choice for reproducing
the size-distribution of fault gouges.


title:
Overcoming the Circular Problem for \gamma-ray Bursts in Cosmological
  Global Fitting Analysis

abstract:
  Due to the lack of low redshift long Gamma-Ray Bursts (GRBs), the circular
problem has been a severe obstacle for using GRBs as cosmological candles. In
this paper, we present a new method to deal with such a problem in MCMC global
fitting analysis. Assuming that a certain type of correlations between
different observables exists in a subsample of GRBs, for the parameters
involved in the correlation relation, we treat them as free parameters and
determine them simultaneously with cosmological parameters through MCMC
analysis on GRB data together with other observational data. Then the circular
problem is naturally eliminated in this procedure. We take the Ghirlanda
relation as an example while keeping in mind the debate about its physical
validity. Together with SNe Ia, WMAP and SDSS data, we include 27 GRBs with the
reported Ghirlanda relation in our study, and perform MCMC global fitting. We
consider the $\Lambda$CDM model and dynamical dark energy models. In each case,
in addition to the constraints on the relevant cosmological parameters, we
obtain the best fit values as well as the distributions of the correlation
parameters $A$ and $C$. We find that the observational data sets other than
GRBs can affect $A$ and $C$ considerably through their degeneracies with the
cosmological parameters. The results on $A$ and $C$ for different cosmological
models are in well agreement within $1\sigma$ range. The best fit value of $A$
in all models being analyzed is $A\sim 1.53$ with $\sigma \sim 0.08$. For $C$,
we have the best value in the range of $0.94-0.98$ with $\sigma\sim 0.1$. It is
also noted that the distributions of $A$ and $C$ are generally broader than the
priors used in many studies in literature. (Abriged)


title: Detection of transplanckian effects in the cosmic microwave background

abstract:
  Quantum gravity effects are expected to modify the primordial density
fluctuations produced during inflation and leave their imprint on the cosmic
microwave background observed today. We present a new analysis discussing
whether these effects are detectable, considering both currently available data
and simulated results from an optimal CMB experiment. We find that the WMAP
(Wilkinson Microwave Anisotropy Probe) data show no evidence for the particular
signature considered in this work but give an upper bound on the parameters of
the model. However, a hypothetical experiment shows that with proper data, the
trans-Planckian effects should be detectable through alternate sampling
methods. This fuzzy conclusion is a result of the nature of the oscillations,
since they give rise to a likelihood hypersurface riddled with local maxima. A
simple Bayesian analysis shows no significant evidence for the simulated data
to prefer a trans-Planckian model. Conventional Markov chain Monte Carlo (MCMC)
methods are not suitable for exploring this complicated landscape, but
alternative methods are required to solve the problem. This, however, requires
extremely high-precision data.


title: EDDE Monte Carlo event generator.Version 2.1

abstract:
  EDDE is a Monte Carlo event generator for different Exclusive and
Semi-Inclusive Double Diffractive processes. The program is based on the
extended Regge-eikonal approach for "soft" processes. Standard Model and its
extensions are used for "hard" fusion processes.


title: Sense and Nonsense on Parton Distribution functions of the Photon

abstract:
  The organization of finite order QCD approximations to $F_2^{\gamma}(x,Q^2)$
based on the separation of pure QED contribution from those of genuine QCD
nature is discussed.


title: Z(3)-symmetric effective theory of hot QCD

abstract:
  We study a three dimensional Z(3)-symmetric effective theory of high
temperature QCD. The exact lattice-continuum relations, needed in order to
perform lattice simulations with physical parameters, are computed to order
O(a^0) in lattice perturbation theory. Lattice simulations are performed to
determine the phase structure of a subset of the parameter space.


title:
Experimental Determination of Nucleation Scaling Law for Small Charged
  Particles

abstract:
  We investigated the nucleation process at the molecular level. Controlled
sticking of individual atoms onto mass selected clusters over a wide mass range
has been carried out for the first time. We measured the absolute unimolecular
nucleation cross sections of cationic sodium clusters Na_{n}^{+} in the range
n=25-200 at several collision energies. The widely used hard sphere
approximation clearly fails for small sizes: not only should vapor-to-liquid
nucleation theories be modified, but also, through the microreversibility
principle, cluster decay rate statistical models.


title:
Comment on "Localization Transition of Biased Random Walks on Random
  Networks"

abstract:
  Sood and Grassberger studied in [Phys. Rev. Lett. 99, 098701 (2007)] random
walks on random graphs that are biased towards a fixed target point. They put
forward a critical bias strength b_c such that a random walker on an infinite
graph eventually reaches the target with probability 1 when b>b_c, while a
finite fraction of walks drift off to infinity for b<b_c. They rely on rigorous
results obtained for biased walks on Galton-Watson (GW) trees to calculate b_c,
and give arguments indicating that this result should also hold for random
graphs such as Erdos-Renyi (ER) graphs and Molloy-Reed (MR) graphs. To validate
their prediction, they show by numerical simulations that the mean return time
(MRT) on a finite ER graph, as a function of the graph size N, exhibits a
transition around the expected b_c.
  Here we show that the MRT on a GW tree can actually be computed analytically.
This allows us (i) to show analytically that indeed the MRT displays a
transition at b_c, (ii) to elucidate the N dependence of the MRT, which
contradicts the \propto N scaling expected in [Phys. Rev. Lett. 99, 098701
(2007)] for b<b_c.


title: Towards a Worldsheet Derivation of the Maldacena Conjecture

abstract:
  A U(2,2|4)-invariant A-model constructed from fermionic superfields has
recently been proposed as a sigma model for the superstring on AdS_5xS^5. After
explaining the relation of this A-model with the pure spinor formalism, the
A-model action is expressed as a gauged linear sigma model. In the zero radius
limit, the Coulomb branch of this sigma model is interpreted as D-brane holes
which are related to gauge-invariant N=4 d=4 super-Yang-Mills operators. As in
the worldsheet derivation of open-closed duality for Chern-Simons theory, this
construction may lead to a worldsheet derivation of the Maldacena conjecture.
Intriguing connections to the twistorial formulation of N=4 Yang-Mills are also
noted.


title: Arithmetic and Geometric Progressions in Productsets over Finite Fields

abstract:
  Given two sets $\cA, \cB \subseteq \F_q$ of elements of the finite field
$\F_q$ of $q$ elements, we show that the productset $$ \cA\cB = \{ab | a \in
\cA, b \in\cB\} $$ contains an arithmetic progression of length $k \ge 3$
provided that $k<p$, where $p$ is the characteristic of $\F_q$, and $# \cA #
\cB \ge 3q^{2d-2/k}$. We also consider geometric progressions in a shifted
productset $\cA\cB +h$, for $f \in \F_q$, and obtain a similar result.


title:
Tidal dynamics of extended bodies in planetary systems and multiple
  stars

abstract:
  With the discovery during the past decade of a large number of extrasolar
planets orbiting their parent stars at a distance lower than 0.1 astronomical
unit (and the launch and the preparation of dedicated space missions such as
CoRoT and KEPLER), with the position of inner natural satellites around giant
planets in our Solar System and with the existence of very closed but separated
binary stars, tidal interaction has to be carefully studied. In particular, a
question arises about the validity of usual approximations used in the
modelling of this interaction. The purpose of this paper is to examine the step
beyond the ponctual approximation for the tidal perturber. To achieve this aim,
the gravitational interaction between two extended bodies and more precisely
the interaction between mass multipole moments of their gravitational fields
and the associated tidal phenomena are studied. Use of Cartesian Symmetric
Trace Free (STF) tensors, of their relation with spherical harmonics and of the
Kaula's transform enables to derive analytically the tidal and mutual
interaction potentials as well as the associated disturbing functions in
extended bodies systems. The tidal and mutual interaction potentials of two
extended bodies are derived. Next, the external gravitational potential of such
tidally disturbed extended body is obtained, using the Love's number theory, as
well as the associated disturbing function. Finally, the dynamical evolution
equations for such systems are given in their more general form without any
linearization. The dynamical equations for the gravitational and tidal
interactions between extended bodies and associated dynamics are derived in a
form where they could be directly implemented to perform coherent numerical
simulations of planetary systems or multiple stars tidal evolution.


title:
On the influence of the cosmological constant on gravitational lensing
  in small systems

abstract:
  The cosmological constant Lambda affects gravitational lensing phenomena. The
contribution of Lambda to the observable angular positions of multiple images
and to their amplification and time delay is here computed through a study in
the weak deflection limit of the equations of motion in the Schwarzschild-de
Sitter metric. Due to Lambda the unresolved images are slightly demagnified,
the radius of the Einstein ring decreases and the time delay increases. The
effect is however negligible for near lenses. In the case of null cosmological
constant, we provide some updated results on lensing by a Schwarzschild black
hole.


title:
Numerical study of the mass spectrum in the 2D O(3) sigma model with a
  theta term

abstract:
  It has been conjectured that the mass spectrum of the O(3) non-linear sigma
model with a theta term in 2 dimensions may possess an excited state, which
decays when theta is lowered from pi below a critical value. Since the direct
numerical investigation of the model is prevented by a sign problem, we try to
infer some information on the mass spectrum at real theta by studying the model
at imaginary theta via analytic continuation. A modified Swendsen-Wang cluster
algorithm has been introduced to simulate the model with the theta term.


title:
Transverse $\Lambda^0$ polarization in inclusive quasi-real
  photoproduction at the current fragmentation

abstract:
  It is shown that the recent HERMES data on the transverse $\Lambda^0$
polarization in the inclusive quasi-real photoproduction at $x_F>0$ can be
accommodated by the strange quark scattering model. Relations with the quark
recombination approach are discussed.


title:
Evidence of environmental strains on charge injection in silole based
  organic light emitting diodes

abstract:
  Using d. functional theory (DFT) computations, the authors demonstrated a
substantial skeletal relaxation when the structure of
2,5-bis-[4-anthracene-9-yl-phenyl]-1,1-dimethyl-3,4-diphenyl-silole (BAS) is
optimized in the gas-phase comparing with the mol. structure detd. from
monocrystal x-ray diffraction. The origin of such a relaxation is explained by
a strong environmental strains induced by the presence of anthracene entities.
Also, the estn. of the frontier orbital levels showed that this structural
relaxation affects mainly the LUMO that is lowered of 190 meV in the gas phase.
To check if these theor. findings would be confirmed for thin films of BAS, the
authors turned to UV photoemission spectroscopy and/or inverse photoemission
spectroscopy and electrooptical measurements. The study of the c.d. or voltage
and luminance or voltage characteristics of an ITO/PEDOT/BAS/Au device clearly
demonstrated a very unusual temp.-dependent behavior. Using a thermally
assisted tunnel transfer model, this behavior likely originated from the
variation of the electronic affinity of the silole deriv. with the temp. The
thermal agitation relaxes the mol. strains in thin films as it is shown when
passing from the cryst. to the gas phase. The relaxation of the intramol. thus
induces an increase of the electronic affinity and, as a consequence, the more
efficient electron injection in org. light-emitting diodes.


title:
Study of the influence of the molecular organization on single-layer
  OLEDs' performances

abstract:
  The authors synthesized three new silole derivs. with incrementally flexible
structure to tune their packing ability and therefore study the influence of
the mol. organization in single-layer OLEDs. This architecture was chosen since
the absence of org. layers interfaces allows a better evaluation of the role of
the mol. arrangement in the active layer. The examn. of the EL properties gives
evidences of the prominent role of the mol. organization on the OLED
efficiency. A cryst.-like organization of the mols. allows high c.d. but low
luminance efficiency since an excessive electron current flow is involved
compared to the hole one, and the recombination rate is poor. On the contrary,
disordered assemblies of mols. allows better performances by avoiding
unfavorable p-stacking, while keeping good intermol. orbital overlaps to
support charge carrier transport.


title: FIGGS: Faint Irregular Galaxies GMRT Survey

abstract:
  The Faint Irregular Galaxies GMRT Survey (FIGGS) is a large program aimed at
providing a comprehensive and statistically robust characterisation of the
neutral ISM properties of faint (M_B > -14.5), nearby, gas rich, dwarf
irregular galaxies using the Giant Metrewave Radio Telescope (GMRT). Here we
briefly describe the survey and discuss some of the science that we anticipate
can be done with this data set.


title: Cross-Kerr effective Hamiltonian for a non-resonant four-level atom

abstract:
  We derive a cross-Kerr type effective Hamiltonian for the four-level atom
interacting with three electromagnetic fields in the N-configuration. When the
atom has relaxed into the ground state a cross-Kerr nonlinearity arises between
two weak probe fields. As a development on earlier work we show in general that
the atom will also display a linear and self-Kerr response. However, if certain
resonance conditions are satisfied then the linear and self-Kerr interactions
will vanish. The electrical susceptibilities of the probe transitions are also
explored and it is shown that a large, pure cross-Kerr nonlinearity can be
generated with vanishing absorption of both probe fields.


title: Comparison of phase-field models for surface diffusion

abstract:
  The description of surface-diffusion controlled dynamics via the phase-field
method is less trivial than it appears at first sight. A seemingly
straightforward approach from the literature is shown to fail to produce the
correct asymptotics, albeit in a subtle manner. Two models are constructed that
approximate known sharp-interface equations without adding undesired
constraints. Linear stability of a planar interface is investigated for the
resulting phase-field equations and shown to reduce to the desired limit.
Finally, numerical simulations of the standard and a more sophisticated model
from the literature as well as of our two new models are performed to assess
the relative merits of each approach. The results suggest superior performance
of the new models in at least some situations.


title: Low temperature dephasing in irradiated metallic wires

abstract:
  We present phase coherence time measurements in quasi-one-dimensional Ag
wires implanted with Ag$^{+}$ ions with an energy of $100 keV$. The
measurements have been carried out in the temperature range from $100 mK$ up to
$10 K$; this has to be compared with the Kondo temperature of iron in silver,
i.e. $T_{K}^{Ag/Fe} \approx 4 K$, used in recent experiments on dephasing in
Kondo systems\cite{mallet_prl_06,birge_prl_06}. We show that the phase
coherence time is not affected by the implantation procedure, clearly proving
that ion implantation process by itself \emph{does not lead to any extra
dephasing} at low temperature.


title:
MEMS-Based Optical Beam Steering System for Quantum Information
  Processing in 2D Atomic Systems

abstract:
  In order to provide scalability to quantum information processors utilizing
trapped atoms or ions as quantum bits (qubits), the capability to address
multiple individual qubits in a large array is needed. Micro-electromechanical
systems (MEMS) technology can be used to create a flexible and scalable optical
system to direct the necessary laser beams to multiple qubit locations. We
developed beam steering optics using controllable MEMS mirrors that enable one
laser beam to address multiple qubit locations in a 2 dimensional trap lattice.
MEMS mirror settling times of 10 us were demonstrated which allow for fast
access time between qubits.


title: The Neutron Star Crust: Nuclear Physics Input

abstract:
  A fully self-consistent model of the neutron star inner crust based upon
models of the nucleonic equation of state at zero temperature is constructed.
The results nearly match those of previous calculations of the inner crust
given the same input equation of state. The extent to which the uncertainties
in the symmetry energy, the compressibility, and the equation of state of
low-density neutron matter affect the composition of the crust are examined.
The composition and pressure of the crust is sensitive to the description of
low-density neutron matter and the nuclear symmetry energy, and the latter
dependence is non-monotonic, giving larger nuclei for moderate symmetry
energies and smaller nuclei for more extreme symmetry energies. Future nuclear
experiments may help constrain the crust and future astrophysical observations
may constrain the nuclear physics input.


title: Modeling the Galactic CV Distribution for the ChaMPlane Survey

abstract:
  For purposes of designing targeted cataclysmic variable (CV) detection
surveys and interpreting results of other projects with many CV detections such
as the ChaMPlane Survey, we have created a model of the CV distribution in the
Galaxy. It is modeled as a warped, flared exponential disk with a gaussian
vertical distribution. Extinction is based on a detailed Galactic dust and gas
model. A luminosity function for CVs is also incorporated, based on a smoothed
version of published data. We calculate predicted field detection rates as a
function of the limiting magnitude expected for the detecting system (i.e.
WIYN/Hydra or NOAO 4m/Mosaic). Monte-Carlo techniques are used to assess
statistical fluctuations in these rates. We have created maps of the expected
CV distribution for the full non-bulge Galactic plane (20<l<340, |b|<15) for
use in both the ChaMPlane Survey and future CV surveys. Assuming a CV
distribution with a scale height of 160 pc, the ChaMPlane observational result
of 5 CVs in 13 northern fields is best fit by a CV local space density of
0.9^{+1.5}_{-0.5}*10^-5 pc^-3, with the range representing the 95% confidence
interval.