title:
Diversity of supernovae Ia determined using equivalent widths of Si II
  4000

abstract:
  Spectroscopic and photometric properties of low and high-z supernovae Ia (SNe
Ia) have been analyzed in order to achieve a better understanding of their
diversity and to identify possible SN Ia sub-types. We use wavelet transformed
spectra in which one can easily measure spectral features. We investigate the
\ion{Si}{II} 4000 equivalent width ($EW_w\lbrace\ion{Si}{II}\rbrace$). The
ability and, especially, the ease in extending the method to SNe at high-$z$ is
demonstrated. We applied the method to 110 SNe Ia and found correlations
between $EW_w\lbrace\ion{Si}{II}\rbrace$ and parameters related to the
light-curve shape for 88 supernovae with available photometry. No evidence for
evolution of $EW_w\lbrace\ion{Si}{II}\rbrace$ with redshift is seen. Three
sub-classes of SNe Ia were confirmed using an independent cluster analysis with
only light-curve shape, colour, and $EW_w\lbrace\ion{Si}{II}\rbrace$. SNe from
high-$z$ samples seem to follow a similar grouping to nearby objects. The
$EW_w\lbrace\ion{Si}{II}\rbrace$ value measured on a single spectrum may point
towards SN Ia sub-classification, avoiding the need for expansion velocity
gradient calculations.


title: Luminous satellite galaxies in gravitational lenses

abstract:
  Substructures, expected in cold dark matter haloes, have been proposed to
explain the anomalous flux ratios in gravitational lenses. About 25% of lenses
in the Cosmic Lens All-Sky Survey (CLASS) appear to have luminous satellites
within ~ 5 kpc/h of the main lensing galaxies, which are usually at redshift z
~ 0.2-1. In this work we use the Millennium Simulation combined with galaxy
catalogues from semi-analytical techniques to study the predicted frequency of
such satellites in simulated haloes. The fraction of haloes that host bright
satellites within the (projected) central regions is similar for red and blue
hosts and is found to increase as a function of host halo mass and redshift.
Specifically, at z = 1, about 11% of galaxy-sized haloes (with masses between
10^{12} M_sun/h and 10^{13} M_sun/h) host bright satellite galaxies within a
projected radius of 5 kpc/h. This fraction increases to about 17% (25%) if we
consider bright (all) satellites of only group-sized haloes (with masses
between 10^{13} M_sun/h and 10^{14} M_sun/h). These results are roughly
consistent with the fraction (~ 25%) of CLASS lensing galaxies observed to host
luminous satellites. At z = 0, only ~ 3% of galaxy-sized haloes host bright
satellite galaxies. The fraction rises to ~ 6%, (10%) if we consider bright
(all) satellites of only group-sized haloes at z = 0. However, most of the
satellites found in the inner regions are `orphan' galaxies where the dark
matter haloes have been completely stripped. Thus the agreement crucially
depends on the true survival rate of these `orphan' galaxies. We also discuss
the effects of numerical resolution and cosmologies on our results.


title: On the axisymmetric thin disk model of flattened galaxies

abstract:
  Non-monotonic features of rotation curves, and also the related gravitational
effects typical of thin disks -- like backward-reaction or amplification of
rotation by negative surface density gradients -- which are characteristic
imprints of disk-like mass distributions, are discussed in the axisymmetric
thin disk model. The influence of the data cutoff in rotational velocity
measurements on the determination of the mass distribution in flattened
galaxies is studied.
  It has also been found that the baryonic matter distribution in the spiral
galaxy NGC 5475, obtained in the axisymmetric thin disk approximation, accounts
for the rotation curve of the galaxy. To obtain these results, the iteration
method developed recently by the authors has been applied.


title: Classifying smooth lattice polytopes via toric fibrations

abstract:
  We define Q-normal lattice polytopes. Natural examples of such polytopes are
Cayley sums of strictly combinatorially equivalent lattice polytopes, which
correspond to particularly nice toric fibrations, namely toric projective
bundles. In a recent paper Batyrev and Nill have suggested that there should be
a bound, N(d), such that every lattice polytope of degree d and dimension at
least N(d) decomposes as a Cayley sum. We give a sharp answer to this question
for smooth Q-normal polytopes. We show that any smooth Q-normal lattice
polytope P of dimension n and degree d is a Cayley sum of strictly
combinatorially equivalent polytopes if n is greater than or equal to 2d+1. The
proof relies on the study of the nef value morphism associated to the
corresponding toric embedding.


title: The Frontiers of Nuclear Science, A Long Range Plan

abstract:
  This is a copy of the 2007 report prepared by the DOE/NSF Nuclear Science
Advisory Committee in response to the charge from DOE and NSF to "conduct a
study of the opportunities and priorities for U.S. nuclear physics research and
recommend a long range plan that will provide a framework for coordinated
advancement of the nation's nuclear science research programs over the next
decade."


title:
A time-variant norm constrained interpolation problem arising from
  relaxed commutant lifting

abstract:
  A time-variant analogue of an interpolation problem equivalent to the relaxed
commutant lifting problem is introduced and studied. In a somewhat less general
form the problem already appears in the analysis of the set of all solutions to
the three chain completion problem. The interpolants are upper triangular
operator matrices of which the columns induce contractive operators. The set of
all solutions of the problem is described explicitly. The results presented are
time-variant analogues of the main theorems in [A.E. Frazho, S. ter Horst, and
M.A. Kaashoek, All solutions to the relaxed commutant lifting problem, Acta
Sci. Math. (Szeged) 72 (2006), 299--318].


title:
Cluster Abell 520: a perspective based on member galaxies. A cluster
  forming at the crossing of three filaments?

abstract:
  The connection of cluster mergers with the presence of extended, diffuse
radio sources in galaxy clusters is still debated. An interesting case is the
rich, merging cluster Abell 520, containing a radio halo. A recent
gravitational analysis has shown in this cluster the presence of a massive dark
core suggested to be a possible problem for the current cold dark matter
paradigm.
  We aim to obtain new insights into the internal dynamics of Abell 520
analyzing velocities and positions of member galaxies.
  Our analysis is based on redshift data for 293 galaxies in the cluster field
obtained combining new redshift data for 86 galaxies acquired at the TNG with
data obtained by CNOC team and other few data from the literature. We also use
new photometric data obtained at the INT telescope. We combine galaxy
velocities and positions to select 167 cluster members around z~0.201. We
analyze the cluster structure using the weighted gap analysis, the KMM method,
the Dressler-Shectman statistics and the analysis of the velocity dispersion
profiles. We compare our results with those from X-ray, radio and gravitational
lensing analyses.
  We find that Abell 520 is definitely a very complex system. Our results
suggest that we are looking at a cluster forming at the crossing of three
filaments of the large scale structure. In particular, we detect a filament
aligned with the LOS and projected onto the center of the forming cluster. It
might explain the apparent massive dark core shown by gravitational lensing
analysis.


title: Monadic Datalog over Finite Structures with Bounded Treewidth

abstract:
  Bounded treewidth and Monadic Second Order (MSO) logic have proved to be key
concepts in establishing fixed-parameter tractability results. Indeed, by
Courcelle's Theorem we know: Any property of finite structures, which is
expressible by an MSO sentence, can be decided in linear time (data complexity)
if the structures have bounded treewidth.
  In principle, Courcelle's Theorem can be applied directly to construct
concrete algorithms by transforming the MSO evaluation problem into a tree
language recognition problem. The latter can then be solved via a finite tree
automaton (FTA). However, this approach has turned out to be problematical,
since even relatively simple MSO formulae may lead to a ``state explosion'' of
the FTA.
  In this work we propose monadic datalog (i.e., datalog where all intentional
predicate symbols are unary) as an alternative method to tackle this class of
fixed-parameter tractable problems. We show that if some property of finite
structures is expressible in MSO then this property can also be expressed by
means of a monadic datalog program over the structure plus the tree
decomposition.
  Moreover, we show that the resulting fragment of datalog can be evaluated in
linear time (both w.r.t. the program size and w.r.t. the data size). This new
approach is put to work by devising new algorithms for the 3-Colorability
problem of graphs and for the PRIMALITY problem of relational schemas (i.e.,
testing if some attribute in a relational schema is part of a key). We also
report on experimental results with a prototype implementation.


title: Holographic Nuclei

abstract:
  We provide a dual gravity description of heavy atomic nuclei, via AdS/CFT
correspondence. In holographic QCD such as Sakai-Sugimoto model, baryons are
D-branes wrapping a sphere in 10 dimensional curved spacetime, so any nucleus
is a collection of $A$ such D-branes where $A$ is mass number of the nucleus.
Quantum theory on the nucleus is ADHM-like U(A) Yang-Mills-Higgs theory on the
sphere. Taking a large $A$ limit (corresponding to heavy nuclei) leads to a
dual gravity describing collective excitataions of constituent nucleons of the
heavy nucleus. This dual gravity computes spectra of the heavy nucleus, and
gives discrete states whose gap roughly agrees with experimental nuclear data.


title: Stratorotational instability in Taylor-Couette flow heated from above

abstract:
  We investigate the instability and nonlinear saturation of
temperature-stratified Taylor-Couette flows in a finite height cylindrical gap
and calculate angular-momentum transport in the nonlinear regime. The model is
based on an incompressible fluid in Boussinesq approximation with a positive
axial temperature gradient applied. While both ingredients itself, the
differential rotation as well as the stratification due to the temperature
gradient, are stable, together the system becomes subject of the
stratorotational instability and nonaxisymmetric flow pattern evolve. This flow
configuration transports angular momentum outwards and will therefor be
relevant for astrophysical applications. The belonging viscosity $\alpha$
coefficient is of the order of unity if the results are adapted to the size of
an accretion disc. The strength of the stratification, the fluids Prandtl
number and the boundary conditions applied in the simulations are well-suited
too for a laboratory experiment using water and a small temperature gradient
below five Kelvin. With such a rather easy realizable set-up the SRI and its
angular momentum transport could be measured in an experiment.


title: Manual for the Flexible DM-NRG code

abstract:
  Quantum impurity models describe interactions between some local degrees of
freedom and a continuum of non-interacting fermionic or bosonic states. The
investigation of quantum impurity models is a starting point towards the
understanding of more complex strongly correlated systems, but quantum impurity
models also provide the description of various correlated mesoscopic
structures, biological and chemical processes, atomic physics and describe
phenomena such as dissipation or dephasing. Prototypes of these models are the
Anderson impurity model, or the single- and multi-channel Kondo models. The
numerical renormalization group method (NRG) proposed by Wilson in mid 70's has
been used in its original form for a longtime as one of the most accurate and
powerful methods to deal with quatum impurity problems. Recently, a number of
new developments took place: First, a spectral sum-conserving density matrix
NRG approach (DM-NRG) has been developed, which has also been generalized for
non-Abelian symmetries. In this manual we introduce some of the basic concepts
of the NRG method and present recently developed Flexible DM-NRG code. This
code uses user-defined non-Abelian symmetries dynamically, computes spectral
functions, expectation values of local operators for user-defined impurity
models. The code can also use a uniform density of states as well as a
user-defined density of states. The current version of the code assumes
fermionic bath's and it uses any number of U(1), SU(2) charge SU(2) or Z(2)
symmetries. The Flexible DM-NRG code can be downloaded from
http://www.phy.bme.hu/~dmnrg


title: Gravitational Uncertainty and Black Hole Remnants

abstract:
  Possible existence of black holes remnants provides a suitable candidates for
dark matter. In this paper we study the possibility of existence for such
remnants. We consider quantum gravitational induced corrections of black hole's
entropy and temperature to investigate the possibility of such relics.
Observational scheme for detection of these remnants and their cosmological
constraints are discussed.


title:
Droplet evaporation in one-component fluids: Dynamic van der Waals
  theory

abstract:
  In a one-component fluid, we investigate evaporation of a small axysymmetric
liquid droplet in the partial wetting condition on a heated wall at $T\sim 0.9
T_c$. In the dynamic van der Waals theory (Phys. Rev. E {\bf 75}, 036304
(2007)), we take into account the latent heat transport from liquid to gas upon
evaporation. Along the gas-liquid interface, the temperature is nearly equal to
the equilibrium coexisting temperature away from the substrate, but it rises
sharply to the wall temperature close to the substrate. On an isothermal
substrate, evaporation takes place mostly on a narrow interface region near the
contact line in a late stage, which is a characteristic feature in
one-component fluids.


title: Field theory of bi- and tetracritical points: Relaxational dynamics

abstract:
  We calculate the relaxational dynamical critical behavior of systems of
$O(n_\|)\oplus O(n_\perp)$ symmetry by renormalization group method within the
minimal subtraction scheme in two loop order. The three different bicritical
static universality classes previously found for such systems correspond to
three different dynamical universality classes within the static borderlines.
The Heisenberg and the biconical fixed point lead to strong dynamic scaling
whereas in the region of stability of the decoupled fixed point weak dynamic
scaling holds. Due to the neighborhood of the stability border between the
strong and the weak scaling dynamic fixed point corresponding to the static
biconical and the decoupled fixed point a very small dynamic transient
exponent, of $\omega_v^{{\cal B}}=0.0044$, is present in the dynamics for the
physically important case $n_\|=1$ and $n_\perp=2$ in $d=3$.


title: Epitaxial growth under oblique incidence

abstract:
  A continuum one dimensional model of homoepitaxial growth under oblique
incidence is investigated. We carried out numerical integration of a continuum
equation incorporating a shadowing search algorithm. The interplay between the
Ehrlich-Schwoebel (ES) effect and shadowing is clearly highlighted. It was
found that different growth phases are separated by a well defined crossover
time after which the ES and shadowing are the dominating mechanisms. Also, the
model identified the existence of a transition period where deep grooves
develop on the surface before the shadowing regime is fully developed. We found
that growth under oblique angles accelerates the coarsening of mounds on the
surface and we determined the corresponding critical exponent.


title: Milnor fibers over singular toric varieties and nearby cycle sheaves

abstract:
  We propose a new sheaf-theoretical method for the calculation of the
monodromy zeta functions of Milnor fibrations. As an application, classical
formulas of Kushnirenko and Varchenko etc. concerning polynomials on $\CC^n$
will be generalized to polynomial functions on any toric variety.


title:
Monodromy zeta functions at infinity, Newton polyhedra and constructible
  sheaves

abstract:
  By using sheaf-theoretical methods such as constructible sheaves, we
generalize the formula of Libgober-Sperber concerning the zeta functions of
monodromy at infinity of polynomial maps into various directions. In
particular, some formulas for the zeta functions of global monodromy along the
fibers of bifurcation points of polynomial maps will be obtained.


title: Molecular orientation entanglement and temporal Bell-type inequalities

abstract:
  We detail and extend the results of [Milman {\it et al.}, Phys. Rev. Lett.
{\bf 99}, 130405 (2007)] on Bell-type inequalities based on correlations
between measurements of continuous observables performed on trapped molecular
systems. We show that for some observables with a continuous spectrum which is
bounded, one is able to construct non-locality tests sharing common properties
with those for two-level systems. The specific observable studied here is
molecular spatial orientation, and it can be experimentally measured for single
molecules, as required in our protocol. We also provide some useful general
properties of the derived inequalities and study their robustness to noise.
Finally, we detail possible experimental scenarii and analyze the role played
by different experimental parameters.


title:
Secondary Fe-peak nuclei in the Tycho Supernova Remnant: A Promising
  Tracer of Type Ia Progenitor Metallicity

abstract:
  The Mn to Cr mass ratio in supernova ejecta has recently been proposed as a
tracer of Type Ia SN progenitor metallicity. We review the advantages and
problems of this observable quantity, and discuss them in the framework of two
Galactic supernova remnants: the well known Tycho SNR and W49B, an older object
that has been tentatively classified as Type Ia. The fluxes of the Mn and Cr Ka
lines in the X-ray spectra of these SNRs observed by the Suzaku and ASCA
satellites suggest progenitors of supersolar metallicity for both objects.


title: Minimal Flavor Violation as an alternative to R-parity

abstract:
  A peculiar aspect of the MSSM, the simplest supersymmetric extension of the
Standard Model, is that it is usually defined including an ad hoc symmetry,
R-parity, whose sole purpose is to forbid rapid proton decay. This symmetry
deeply alters the phenomenology of the MSSM, and renders the experimental
search strategies quite involved. Besides, the MSSM suffers from a number of
flavor puzzles. Generically, the superparticle contributions to Flavor Changing
Neutral Currents (FCNC) are too large compared to experiment, both in the quark
and lepton sectors. The Minimal Flavor Violation (MFV) hypothesis aims at
suppressing these contributions, and when enforced as a symmetry principle,
achieves this in a very natural and systematic way. In this talk, it will be
shown that imposing MFV is not only able to suppress supersymmetric
contributions to FCNC, it also naturally explains the apparent stability of the
proton. As a result, R-parity can be avoided altogether, motivating the search
for supersymmetry through simpler channels, like for example single stop
resonant production, whose strength is predicted by MFV.


title: Lorentz transformations with arbitrary line of motion

abstract:
  Sometimes it becomes a matter of natural choice for an observer (A) that he
prefers a coordinate system of two-dimensional spatial x-y coordinates from
which he observes another observer (B) who is moving at a uniform speed along a
line of motion, which is not collinear with As chosen x or y axis. It becomes
necessary in such cases to develop Lorentz transformations where the line of
motion is not aligned with either the x or the y-axis. In this paper we develop
these transformations and show that under such transformations, two orthogonal
systems (in their respective frames) appear non-orthogonal to each other. We
also illustrate the usefulness of the transformation by applying it to three
problems including the rod-slot problem. The derivation has been done before
using vector algebra. Such derivations assume that the axes of K and K-prime
are parallel. Our method uses matrix algebra and shows that the axes of K and
K-prime do not remain parallel, and in fact K and K-prime which are properly
orthogonal are observed to be non-orthogonal by K-prime and K respectively.
http://www.iop.org/EJ/abstract/0143-0807/28/2/004


title:
Coexistence of Long-Range Magnetic Order and Superconductivity from
  Campbell Penetration Depth Measurements

abstract:
  Application of a tunnel-diode resonator (TDR) technique for studies of the
vortex response in magnetic superconductors is described. Operating at very
small excitation fields and sufficiently high frequency, TDR was used to probe
small-amplitude linear AC response in several types of single crystals where
long-range magnetic order coexists with bulk superconductivity. Full local -
moment ferromagnetism destroys superconductivity and can coexist with it only
in a narrow temperature range ($\sim 0.3$ K). In contrast, weak ferromagnetic
as well as antiferromagnetic orders can coexist with bulk superconductivity and
may even lead to enhancements of vortex pinning. By analyzing the Campbell
penetration depth we find sharp increase of the true critical current in the
vicinity of the magnetic phase transitions. We conclude that critical magnetic
fluctuations are responsible for this enhancement.


title: Collective modes of quantum dot ensembles in microcavities

abstract:
  Emission spectra of quantum dot arrays in zero-dimensional microcavities are
studied theoretically, and it is shown that they are determined by the
competition between the formation of the collective superradiant mode and
inhomogeneous broadening. The random sources method for the calculation of
photoluminescence spectra under a non-resonant pumping is developed, and a
microscopic justification of the random sources method within a framework of
the standard diagram technique is given. The emission spectra of a microcavity
are analyzed with allowance for the spread of exciton states energies caused by
an inhomogeneous distribution of quantum dots and a tunneling between them. It
is demonstrated that in the case of a strong tunneling coupling the
luminescence spectra are sensitive to the geometric positions of the dots, and
the collective mode can, under certain conditions, be stabilized by the random
tunnel junctions.


title: Effective field theory analysis of the self-interacting chameleon

abstract:
  We analyse the phenomenology of a self-interacting scalar field in the
context of the chameleon scenario originally proposed by Khoury and Weltman. In
the absence of self-interactions, this type of scalar field can mediate long
range interactions and simultaneously evade constraints from violation of the
weak equivalence principle. By applying to such a scalar field the effective
field theory method proposed for Einstein gravity by Goldberger and Rothstein,
we give a thorough perturbative evaluation of the importance of non-derivative
self-interactions in determining the strength of the chameleon mediated force
in the case of orbital motion. The self-interactions are potentially dangerous
as they can change the long range behaviour of the field. Nevertheless, we show
that they do not lead to any dramatic phenomenological consequence with respect
to the linear case and solar system constraints are fulfilled.


title: Transient outburst mechanisms in Supergiant Fast X-ray Transients

abstract:
  The recent discovery of a new class of recurrent and fast X-ray transient
sources, the Supergiant Fast X-ray Transients, poses interesting questions on
the possible mechanisms responsible for their transient X-ray emission. The
association with blue supergiants, the spectral properties similar to those of
accreting pulsars and the detection, in a few cases, of X-ray pulsations,
confirm that these transients are High Mass X-ray Binaries. I review the
different mechanisms proposed to explain their transient outbursts and the link
to persistent wind accretors. I discuss the different models in light of the
new observational results coming from an on-going monitoring campaign of four
Supergiant Fast X-ray Transients with Swift.


title: Top quark in theory

abstract:
  I review how the top quark is embedded in the Standard Model and some its
proposed extensions, and how it manifests itself in various hadron collider
signals.


title:
A Geometrical Description of the SINR Region of the Gaussian
  Interference Channel: the two and three-user case

abstract:
  This paper addresses the problem of computing the achievable rates for two
(and three) users sharing a same frequency band without coordination and thus
interfering with each other. It is thus primarily related to the field of
cognitive radio studies as we look for the achievable increase in the spectrum
use efficiency. It is also strongly related to the long standing problem of the
capacity region of a Gaussian interference channel (GIC) because of the
assumption of no user coordination (and the underlying assumption that all
signals and interferences are Gaussian). We give a geometrical description of
the SINR region for the two-user and three-user channels. This geometric
approach provides a closed-form expression of the capacity region of the
two-user interference channel and an insightful of known optimal power
allocation scheme.


title: Nanoengineering Carbon Allotropes from Graphene

abstract:
  Monolithic structures can be built into graphene by the addition and
subsequent re-arrangement of carbon atoms. To this end, ad-dimers of carbon are
a particularly attractive building block because a number of emerging
technologies offer the promise of precisely placing them on carbon surfaces. In
concert with the more common Stone-Wales defect, repeating patterns can be
introduced to create as yet unrealized materials. The idea of building such
allotropes out of defects is new, and we demonstrate the technique by
constructing two-dimensional carbon allotropes known as haeckelite. We then
extend the idea to create a new class of membranic carbon allotropes that we
call \emph{dimerite}, composed exclusively of ad-dimer defects.


title:
Charged pion form factor between $Q^2$=0.60 and 2.45 GeV$^2$. I.
  Measurements of the cross section for the ${^1}$H($e,e'\pi^+$)$n$ reaction

abstract:
  Cross sections for the reaction ${^1}$H($e,e'\pi^+$)$n$ were measured in Hall
C at Thomas Jefferson National Accelerator Facility (JLab) using the CEBAF
high-intensity, continous electron beam in order to determine the charged pion
form factor. Data were taken for central four-momentum transfers ranging from
$Q^2$=0.60 to 2.45 GeV$^2$ at an invariant mass of the virtual photon-nucleon
system of $W$=1.95 and 2.22 GeV. The measured cross sections were separated
into the four structure functions $\sigma_L$, $\sigma_T$, $\sigma_{LT}$, and
$\sigma_{TT}$. The various parts of the experimental setup and the analysis
steps are described in detail, including the calibrations and systematic
studies, which were needed to obtain high precision results. The different
types of systematic uncertainties are also discussed. The results for the
separated cross sections as a function of the Mandelstam variable $t$ at the
different values of $Q^2$ are presented. Some global features of the data are
discussed, and the data are compared with the results of some model
calculations for the reaction ${^1}$H($e,e'\pi^+$)$n$.


title: Exploring the transverse spin structure of the nucleon

abstract:
  We discuss our present understanding of the transverse spin structure of the
nucleon and of related properties originating from parton transverse motion.
Starting from the transversity distribution and the ways to access it, we then
address the role played by spin and transverse momentum dependent (TMD)
distributions in azimuthal and transverse single spin asymmetries. The latest
extractions of the Sivers, Collins and transversity functions are also
presented.


title: Three-dimensional chiral meta-atoms

abstract:
  We show that the chirality of artificial media, made of a planar periodic
arrangement of three-dimensional metallic meta-atoms, can be tailored. The
meta-atoms support localized plasmon polaritons and exhibit a chirality
exceeding that of pseudo-planar chiral metamaterials by an order of magnitude.
Two design approaches are investigated in detail. The first is the referential
example for a chiral structure, namely a Moebius strip. The second example is a
cut wire - split-ring resonator geometry that can be manufactured with
state-of-the-art nanofabrication technologies. Driven into resonance these
meta-atoms evoke a polarization rotation of $30^\circ$ per unit cell.


title: Phantom scalar emission in the Kerr black hole spacetime

abstract:
  We study the absorption probability and Hawking radiation spectra of a
phantom scalar field in the Kerr black hole spacetime. We find that the
presence of the negative kinetic energy terms modifies the standard results in
the greybody factor, super-radiance and Hawking radiation. Comparing with the
usual scalar particle, the phantom scalar emission is enhanced in the black
hole spacetime.


title: Kink instabilities in jets from rotating magnetic fields

abstract:
  We have performed 2.5D and 3D simulations of conical jets driven by the
rotation of an ordered, large-scale magnetic field in a stratified atmosphere.
The simulations cover about three orders of magnitude in distance to capture
the centrifugal acceleration as well as the evolution past the Alfven surface.
We find that the jets develop kink instabilities, the characteristics of which
depend on the velocity profile imposed at the base of the flow. The
instabilities are especially pronounced with a rigid rotation profile, which
induces a shearless magnetic field. The jet's expansion appears to be limiting
the growth of Alfven mode instabilities.


title: Nonequilibrium kinetics of a disordered Luttinger liquid

abstract:
  We develop a kinetic theory for strongly correlated disordered
one-dimensional electron systems out of equilibrium, within the Luttinger
liquid model. In the absence of inhomogeneities, the model exhibits no
relaxation to equilibrium. We derive kinetic equations for electron and plasmon
distribution functions in the presence of impurities and calculate the
equilibration rate $\gamma_E$. Remarkably, for not too low temperature and bias
voltage, $\gamma_E$ is given by the elastic backscattering rate, independent of
the strength of electron-electron interaction, temperature, and bias.


title:
Precise determination of h/m_Rb using Bloch oscillations and atomic
  interferometry: a mean to deduce the fine structure constant

abstract:
  We use Bloch oscillations to transfer coherently many photon momenta to
atoms. Then we can measure accurately the ratio h/m_Rb and deduce the fine
structure constant alpha. The velocity variation due to the Bloch oscillations
is measured thanks to Raman transitions. In a first experiment, two Raman $\pi$
pulses are used to select and measure a very narrow velocity class. This method
yields to a value of the fine structure constant alpha^{-1}= 137.035 998 84
(91) with a relative uncertainty of about 6.6 ppb. More recently we use an
atomic interferometer consisting in two pairs of pi/2 pulses. We present here
the first results obtained with this method.


title: Stochastic analysis of Bernoulli processes

abstract:
  These notes survey some aspects of discrete-time chaotic calculus and its
applications, based on the chaos representation property for i.i.d. sequences
of random variables. The topics covered include the Clark formula and
predictable representation, anticipating calculus, covariance identities and
functional inequalities (such as deviation and logarithmic Sobolev
inequalities), and an application to option hedging in discrete time.


title: Economical toric spines via Cheeger's Inequality

abstract:
  Let $G_{\infty}=(C_m^d)_{\infty}$ denote the graph whose set of vertices is
$\{1,..., m\}^d$, where two distinct vertices are adjacent iff they are either
equal or adjacent in $C_m$ in each coordinate. Let $G_{1}=(C_m^d)_1$ denote the
graph on the same set of vertices in which two vertices are adjacent iff they
are adjacent in one coordinate in $C_m$ and equal in all others. Both graphs
can be viewed as graphs of the $d$-dimensional torus. We prove that one can
delete $O(\sqrt d m^{d-1})$ vertices of $G_1$ so that no topologically
nontrivial cycles remain. This improves an $O(d^{\log_2 (3/2)}m^{d-1})$
estimate of Bollob\'as, Kindler, Leader and O'Donnell. We also give a short
proof of a result implicit in a recent paper of Raz: one can delete an $O(\sqrt
d/m)$ fraction of the edges of $G_{\infty}$ so that no topologically nontrivial
cycles remain in this graph. Our technique also yields a short proof of a
recent result of Kindler, O'Donnell, Rao and Wigderson; there is a subset of
the continuous $d$-dimensional torus of surface area $O(\sqrt d)$ that
intersects all nontrivial cycles. All proofs are based on the same general
idea: the consideration of random shifts of a body with small boundary and no-
nontrivial cycles, whose existence is proved by applying the isoperimetric
inequality of Cheeger or its vertex or edge discrete analogues.


title: A New Framework of Multistage Hypothesis Tests

abstract:
  In this paper, we have established a general framework of multistage
hypothesis tests which applies to arbitrarily many mutually exclusive and
exhaustive composite hypotheses. Within the new framework, we have constructed
specific multistage tests which rigorously control the risk of committing
decision errors and are more efficient than previous tests in terms of average
sample number and the number of sampling operations. Without truncation, the
sample numbers of our testing plans are absolutely bounded.


title:
A search for iron emission lines in the Chandra X-ray spectra of neutron
  star low-mass X-ray binaries

abstract:
  While iron emission lines are well studied in black hole systems, both in
X-ray binaries and Active Galactic Nuclei, there has been less of a focus on
these lines in neutron star low-mass X-ray binaries (LMXBs). However, recent
observations with Suzaku and XMM-Newton have revealed broad asymmetric iron
line profiles in 4 neutron star LMXBs, confirming an inner disk origin for
these lines in neutron star systems. Here, we present a search for iron lines
in 6 neutron star LMXBs. For each object we have simultaneous Chandra and RXTE
observations at 2 separate epochs, allowing for both a high resolution
spectrum, as well as broadband spectral coverage. Out of the six objects in the
survey, we only find significant iron lines in two of the objects, GX 17+2 and
GX 349+2. However, we cannot rule out that there are weak, broad lines present
in the other sources. The equivalent width of the line in GX 17+2 is consistent
between the 2 epochs, while in GX 349+2 the line equivalent width increases by
a factor of ~3 between epochs as the source flux decreases by a factor of 1.3.
This suggests that the disk is highly ionized, and the line is dominated by
recombination emission. We find that there appears to be no specific locations
in the long-term hardness-intensity diagrams where iron emission lines are
formed, though more sources and further observations are required.


title: Range of stability of solar neutrino flux from the SAGE experiment data

abstract:
  We study the extent to which the SAGE experiment data indicate the permanence
of the solar neutrino flux. It is shown that in the first approximation this
flux is constant and its distribution function is unimodal. Using a more
detailed analysis one finds out that data of the first years of experiment
(1990-1992) demonstrate a time dependence which is slightly different from what
was found for the subsequent years (1993-2006). The distinctive feature of the
first years of experiment is a high dispersion of neutrino flux in comparison
with the following epoch. We discuss possible astronomical consequences of this
result.


title: Distilling Non-Locality

abstract:
  Two parts of an entangled quantum state can have a correlation in their joint
behavior under measurements that is unexplainable by shared classical
information. Such correlations are called non-local and have proven to be an
interesting resource for information processing. Since non-local correlations
are more useful if they are stronger, it is natural to ask whether weak
non-locality can be amplified. We give an affirmative answer by presenting the
first protocol for distilling non-locality in the framework of generalized
non-signaling theories. Our protocol works for both quantum and non-quantum
correlations. This shows that in many contexts, the extent to which a single
instance of a correlation can violate a CHSH inequality is not a good measure
for the usefulness of non-locality. A more meaningful measure follows from our
results.


title: The long Galactic bar as seen by UKIDSS Galactic Plane Survey

abstract:
  Over the last decade there have been a series of results supporting the
hypothesis of the existence of a long thin bar in the Milky Way with a
half-length of 4.5 kpc and a position angle of around 45 deg. This is
apparently a very different structure from the triaxial bulge of the Galaxy,
which is thicker and shorter and dominates the star counts at |l|<10 deg. In
this paper, we analyse the stellar distribution in the inner Galaxy to see if
there is clear evidence for two triaxial or bar-like structures in the Milky
Way.
  By using the red-clump population as a tracer of Galactic structure, we
determine the apparent morphology of the inner Galaxy. Deeper and higher
spatial resolution NIR photometry from the UKIDSS Galactic Plane Survey allows
us to use in-plane data even at the innermost Galactic longitudes, a region
where the source confusion is a dominant effect that makes it impossible to use
other NIR databases such as 2MASS or TCS-CAIN. We show that results previously
obtained with using the red-clump giants are confirmed with the in-plane data
from UKIDSS GPS. There are two different structures coexisting in the inner
Galactic plane: one with a position angle of 23.60+-2.19 deg that can be traced
from the Galactic Centre up to l=10 deg (the Galactic bulge), and other with a
larger position angle of 42.44+-2.14 deg, that ends around l=28 deg (the long
Galactic bar).


title: Beauty photoproduction using decays into electrons at HERA

abstract:
  Photoproduction of beauty quarks in events with two jets and an electron
associated with one of the jets has been studied with the ZEUS detector at HERA
using an integrated luminosity of 120 pb-1. The fractions of events containing
b quarks, and also of events containing c quarks, were extracted from a
likelihood fit using variables sensitive to electron identification as well as
to semileptonic decays. Total and differential cross sections for beauty and
charm production were measured and compared with next-to-leading-order QCD
calculations and Monte Carlo models.


title: Sneutrino LSPs in R-parity violating minimal supergravity models

abstract:
  We consider the minimal supergravity model (mSUGRA) with one additional
R-parity violating operator at the GUT scale. The superparticles mass spectra
at the weak scale are generally altered due to the presence of the R-parity
violating coupling in the renormalization group equations. We show that a
lepton number violating coupling at the GUT scale can lead to a sneutrino as
the lightest supersymmetric particle (LSP) in a large region of parameter space
consistent with the muon anomalous magnetic moment and other precision
measurements. We also give characteristic collider signatures at the LHC.


title:
Atom interferometry based on light pulses : application to the high
  precision measurement of the ratio h/m and the determination of the fine
  structure constant

abstract:
  In this paper we present a short overview of atom interferometry based on
light pulses. We discuss different implementations and their applications for
high precision measurements. We will focus on the determination of the ratio
h/m of the Planck constant to an atomic mass. The measurement of this quantity
is performed by combining Bloch oscillations of atoms in a moving optical
lattice with a Ramsey-Bord\'e interferometer.


title:
The CaT strength in Seyfert nuclei revisited: analyzing young stars and
  non-stellar light contributions to the spectra

abstract:
  In a former paper (Garcia-Rissmann et al. 2005; hereafter Paper I), we have
presented spectra of 64 active, 9 normal and 5 Starburst galaxies in the region
around the near-IR Calcium triplet absorption lines and the [SIII]9069 line. In
the present paper we analyze the CaT strength (WCaT), and kinematical products
derived in that study, namely stellar and ionized gas velocity dispersions. Our
main results may be summarized as follows: (1) Seyfert 2s show no sign of
dilution in WCaT with respect to the values spanned by normal galaxies, even
when optical absorption lines such as the CaII K band at 3933 A are much weaker
than in old, bulge-like stellar populations. (2) The location of Seyfert 2s in
the WCaT-WCaK plane is consistent with evolutionary synthesis models. The
implication is that the source responsible for the dilution of optical lines in
these AGN is a young stellar population, rather than an AGN featureless
continuum, confirming the conclusion of the pioneer study of Terlevich, Diaz &
Terlevich. (3) In Seyfert 1s, both W[SIII] and WCaT tend to be diluted due to
the presence of a non-stellar component, in agreement with the unification
paradigm. (4) A comparison of stellar and gas velocity dispersions confirms the
existence of a correlation between the typical velocities of stars and clouds
of the Narrow Line Region. The strength and scatter around this correlation are
similar to those previously obtained from the [OIII]5007 line width.


title: Kinematic and Dynamic Analyses of the Orthoglide 5-axis

abstract:
  This paper deals with the kinematic and dynamic analyses of the Orthoglide
5-axis, a five-degree-of-freedom manipulator. It is derived from two
manipulators: i) the Orthoglide 3-axis; a three dof translational manipulator
and ii) the Agile eye; a parallel spherical wrist. First, the kinematic and
dynamic models of the Orthoglide 5-axis are developed. The geometric and
inertial parameters of the manipulator are determined by means of a CAD
software. Then, the required motors performances are evaluated for some test
trajectories. Finally, the motors are selected in the catalogue from the
previous results.


title:
Singularity Analysis of Limited-dof Parallel Manipulators using
  Grassmann-Cayley Algebra

abstract:
  This paper characterizes geometrically the singularities of limited DOF
parallel manipulators. The geometric conditions associated with the dependency
of six Pl\"ucker vector of lines (finite and infinite) constituting the rows of
the inverse Jacobian matrix are formulated using Grassmann-Cayley algebra.
Manipulators under consideration do not need to have a passive spherical joint
somewhere in each leg. This study is illustrated with three example robots


title:
Framework for Dynamic Evaluation of Muscle Fatigue in Manual Handling
  Work

abstract:
  Muscle fatigue is defined as the point at which the muscle is no longer able
to sustain the required force or work output level. The overexertion of muscle
force and muscle fatigue can induce acute pain and chronic pain in human body.
When muscle fatigue is accumulated, the functional disability can be resulted
as musculoskeletal disorders (MSD). There are several posture exposure analysis
methods useful for rating the MSD risks, but they are mainly based on static
postures. Even in some fatigue evaluation methods, muscle fatigue evaluation is
only available for static postures, but not suitable for dynamic working
process. Meanwhile, some existing muscle fatigue models based on physiological
models cannot be easily used in industrial ergonomic evaluations. The external
dynamic load is definitely the most important factor resulting muscle fatigue,
thus we propose a new fatigue model under a framework for evaluating fatigue in
dynamic working processes. Under this framework, virtual reality system is
taken to generate virtual working environment, which can be interacted with the
work with haptic interfaces and optical motion capture system. The motion
information and load information are collected and further processed to
evaluate the overall work load of the worker based on dynamic muscle fatigue
models and other work evaluation criterions and to give new information to
characterize the penibility of the task in design process.


title:
SINGULAB - A Graphical user Interface for the Singularity Analysis of
  Parallel Robots based on Grassmann-Cayley Algebra

abstract:
  This paper presents SinguLab, a graphical user interface for the singularity
analysis of parallel robots. The algorithm is based on Grassmann-Cayley
algebra. The proposed tool is interactive and introduces the designer to the
singularity analysis performed by this method, showing all the stages along the
procedure and eventually showing the solution algebraically and graphically,
allowing as well the singularity verification of different robot poses.


title: Energy Optimal Interpolation in Quantum Evolution

abstract:
  We introduce the concept of interpolation in quantum evolution and present a
general framework to find the energy optimal Hamiltonian for a quantum system
evolving among a given set of middle states using variational and geometric
methods. A few special cases are carefully studied. The quantum brachistochrone
problem is proved as a special case.


title: Compact operators that commute with a contraction

abstract:
  Let $T$ be a $C_0$--contraction on a separable Hilbert space. We assume that
$I_H-T^*T$ is compact. For a function $f$ holomorphic in the unit disk $\DD$
and continuous on $\bar\DD$, we show that $f(T)$ is compact if and only if $f$
vanishes on $\sigma (T)\cap \TT$, where $\sigma (T)$ is the spectrum of $T$ and
$\TT$ the unit circle. If $f$ is just a bounded holomorphic function on $\DD$
we prove that $f(T)$ is compact if and only if $\lim_{n\to \infty} T^nf(T) =0$.


title: Metallicity in the Galactic Center: The Quintuplet cluster

abstract:
  We present a measurement of metallicity in the Galactic center Quintuplet
Cluster made using quantitative spectral analysis of two Luminous Blue
Variables (LBVs). The analysis employs line-blanketed NLTE wind/atmosphere
models fit to high-resolution near-infrared spectra containing lines of H, HeI,
SiII, MgII, and FeII. We are able to break the H/He ratio vs. mass-loss rate
degeneracy found in other LBVs and to obtain robust estimates of the He content
of both objects. Our results indicate solar iron abundance and roughly twice
solar abundance in the alpha-elements. These results are discussed within the
framework of recent measurements of oxygen and carbon composition in the nearby
Arches Cluster and iron abundances in red giants and supergiants within the
central 30 pc of the Galaxy. The relatively large enrichment of alpha-elements
with respect to iron is consistent with a history of more nucleosynthesis in
high mass stars than the Galactic disk.


title:
Renormalization of chiral two-pion exchange NN interactions with
  Delta-excitations: Central Phases and the Deuteron

abstract:
  The renormalization of the chiral np interaction with Delta-excitations in
intermediate states is considered at next-to-leading order (NLO) and
next-to-next-to-leading order (N2LO) for central waves. The inclusion of the
Delta-excitation as an explicit degree of freedom improves the convergence
properties of the effective field theory results for np scattering with respect
to Delta-less theory, and allows the existence of a deuteron bound state in the
infinite cut-off limit. The 1S_0 singlet and 3S_1 triplet phase shifts
reproduce data for p ~ m_pi. The role of spectral function regularization is
also discussed.


title:
A Control Variate Approach for Improving Efficiency of Ensemble Monte
  Carlo

abstract:
  In this paper we present a new approach to control variates for improving
computational efficiency of Ensemble Monte Carlo. We present the approach using
simulation of paths of a time-dependent nonlinear stochastic equation. The core
idea is to extract information at one or more nominal model parameters and use
this information to gain estimation efficiency at neighboring parameters. This
idea is the basis of a general strategy, called DataBase Monte Carlo (DBMC),
for improving efficiency of Monte Carlo. In this paper we describe how this
strategy can be implemented using the variance reduction technique of Control
Variates (CV). We show that, once an initial setup cost for extracting
information is incurred, this approach can lead to significant gains in
computational efficiency. The initial setup cost is justified in projects that
require a large number of estimations or in those that are to be performed
under real-time constraints.


title:
Probing the micromechanics of a multi-contact interface at the onset of
  frictional sliding

abstract:
  Digital Image Correlation is used to study the micromechanics of a
multi-contact interface formed between a rough elastomer and a smooth glass
surface. The in-plane elastomer deformation is monitored during the incipient
sliding regime, i.e. the transition between static and sliding contact. As the
shear load is increased, an annular slip region, in coexistence with a central
stick region, is found to progressively invade the contact. From the
interfacial displacement field, the tangential stress field can be further
computed using a numerical inversion procedure. These local mechanical
measurements are found to be correctly captured by Cattaneo and Mindlin (CM)'s
model. However, close comparison reveals significant discrepancies in both the
displacements and stress fields that reflect the oversimplifying hypothesis
underlying CM's scenario. In particular, our optical measurements allow us to
exhibit an elasto-plastic like friction constitutive equation that differs from
the rigid-plastic behavior assumed in CM's model. This local constitutive law,
which involves a roughness-related length scale, is consistent with the model
of Bureau \textit{et al.} [Proc. R. Soc. London A \textbf{459}, 2787 (2003)]
derived for homogeneously loaded macroscopic multi-contact interfaces, thus
extending its validity to mesoscopic scales.measurements allow for the first
quantitative test of Cattaneo and Mindlin (CM) classical model of the incipient
sliding of a smooth interface. Small deviations are observed and interpreted as
a result of the finite compliance of the rough interface, a behavior which
contrasts with Amontons' law of friction assumed to be valid locally in CM's
model. We illustrate how these measurements actually provide a method for
probing the rheology of the rough interface, which we find to be of the
elasto-plastic type.


title:
Magnetism and Superconductivity in the Two-Dimensional 16 Band d-p Model
  for Iron-Based Superconductors

abstract:
  The electronic states of the Fe2As2 plane in iron-based superconductors are
investigated on the basis of the two-dimensional 16-band d-p model which
includes the Coulomb interaction on a Fe site: the intra- and inter-orbital
direct terms U and U', the Hund's coupling J and the pair-transfer J'. Using
the random phase approximation (RPA), we obtain the magnetic phase diagram
including the stripe and the incommensurate order on the U'-J plane. We also
solve the superconducting gap equation within the RPA and find that, for large
J, the most favorable pairing symmetry is extended s-wave whose order parameter
changes its sign between the hole pockets and the electron pockets, while it is
dxy-wave for small J.


title: Evaluation of new spin foam vertex amplitudes

abstract:
  The Christensen-Egan algorithm is extended and generalized to efficiently
evaluate new spin foam vertex amplitudes proposed by Engle, Pereira & Rovelli
and Freidel & Krasnov, with or without (factored) boundary states. A concrete
pragmatic proposal is made for comparing the different models using uniform
methodologies, applicable to the behavior of large spin asymptotics and of
expectation values of specific semiclassical observables. The asymptotics of
the new models exhibit non-oscillatory, power-law decay similar to that of the
Barrett-Crane model, though with different exponents. Also, an analysis of the
semiclassical wave packet propagation problem indicates that the Magliaro,
Rovelli and Perini's conjecture of good semiclassical behavior of the new
models does not hold for generic factored states, which neglect spin-spin
correlations.


title:
Spin fluctuations and ferromagnetic order in two-dimensional itinerant
  systems with Van Hove singularities

abstract:
  The quasistatic approach is used to analyze the criterion of ferromagnetism
for two-dimensional (2D) systems with the Fermi level near Van Hove (VH)
singularities of the electron spectrum. It is shown that the spectrum of spin
excitations (paramagnons) is positively defined when the interaction between
electrons and paramagnons, determined by the Hubbard on-site repulsion U, is
sufficiently large. Due to incommensurate spin fluctuations near the
ferromagnetic quantum phase transition, the critical interaction Uc remains
finite at VH filling and exceeds considerably its value obtained from the
Stoner criterion. A comparison with the functional renormalization group
results and mean-field approximation which yields a phase separation is also
performed.


title:
Improvement of structural, electronic, and magnetic properties of
  Co$_2$MnSi thin films by He$^+$-irradiation

abstract:
  The influence of 30 keV He$^+$ ion irradiation on structural, electronic and
magnetic properties of Co$_2$MnSi thin films with B2 order was investigated. It
was found, that irradiation with light ions can improve the local chemical
order. This provokes changes of the electronic structure and element-specific
magnetization towards the bulk properties of the well-ordered Co$_2$MnSi
Heusler compound with L2$_1$ structure.


title:
Orientation-dependent Casimir force arising from highly anisotropic
  crystals: application to Bi2Sr2CaCu2O8+delta

abstract:
  We calculate the Casimir interaction between parallel planar crystals of Au
and the anisotropic cuprate superconductor Bi2Sr2CaCu2O8+delta (BSCCO), with
BSCCO's optical axis either parallel or perpendicular to the crystal surface,
using suitable generalizations of the Lifshitz theory. We find that the strong
anisotropy of the BSCCO permittivity gives rise to a difference in the Casimir
force between the two orientations of the optical axis, which depends on
distance and is of order 10-20% at the experimentally accessible separations 10
to 5000 nm.


title:
Pitot tube from Euler equations point of view. Application to Formula 1
  cars

abstract:
  The paper describes a mathematical model on the physical principles of the
Pitot device for acquiring flows speed. The relation between speed and static
pressures is derived from simple integration of the fluid dynamics equations
for an inviscid flow. In this way, the treatment is general and is not based on
the Bernoulli theorem on energy conservation, as usually done in scientific and
technical literature. The application to Formula 1 cars is discussed.


title:
Report of the Detailed Calculation of the Effective Potential in
  Spacetimes with $S^1\times R^d$ Topology and at Finite Temperature

abstract:
  In this paper we review the calculations that are needed to obtain the
bosonic and fermionic effective potential at finite temperature and volume (at
one loop). The calculations at finite volume correspond to $S^1\times R^d$
topology. These calculations appear in the calculation of the Casimir energy
and of the effective potential of extra dimensional theories. In the case of
finite volume corrections we impose twisted boundary conditions and obtain
semi-analytic results. We mainly focus in the details and validity of the
results. The zeta function regularization method is used to regularize the
infinite summations. Also the dimensional regularization method is used in
order to renormalize the UV singularities of the integrations over momentum
space. The approximations and expansions are carried out within the
perturbative limits. After the end of each section we briefly present
applications associated to the calculations. Particularly the calculation of
the effective potential at finite temperature for the Standard Model fields,
the effective potential for warped and large extra dimensions and the
topological mass creation. In the end we discuss on the convergence and
validity of one of the obtained semi-analytic results.


title:
Hidden gauginos of an unbroken U(1): Cosmological constraints and
  phenomenological prospects

abstract:
  We study supersymmetric scenarios where the dark matter is the gaugino of an
unbroken hidden U(1) which interacts with the visible world only via a small
kinetic mixing with the hypercharge. Strong constraints on the parameter space
can be derived from avoiding overclosure of the Universe and from requiring
successful Big Bang Nucleosynthesis and structure formation. We find that for
typical values of the mixing parameter, scenarios with neutralino NLSP are
excluded, while scenarios with slepton NLSP are allowed when the mixing
parameter lies in the range chi~O(10^(-13) - 10^(-10)). We also show that if
the gravitino is the LSP and the hidden U(1) gaugino the NLSP, the bounds on
the reheating temperature from long lived charged MSSM relics can be
considerably relaxed and we comment on the signatures of these scenarios at
future colliders. Finally, we discuss the case of an anomalously small mixing,
chi<<10^(-16), where the neutralino becomes a decaying dark matter candidate,
and derive constraints from gamma ray experiments.


title: Verifying continuous-variable entanglement in finite spaces

abstract:
  Starting from arbitrary Hilbert spaces, we reduce the problem to verify
entanglement of any bipartite quantum state to finite dimensional subspaces.
Hence, entanglement is a finite dimensional property. A generalization for
multipartite quantum states is also given.


title:
Instability and control of a periodically-driven Bose-Einstein
  condensate

abstract:
  We investigate the dynamics of a Bose-Einstein condensate held in an optical
lattice under the influence of a strong periodic driving potential. Studying
the mean-field version of the Bose-Hubbard model reveals that the condensate
becomes highly unstable when the effective intersite tunneling becomes
negative. We further show how controlling the sign of the tunneling can be used
as a powerful tool to manage the dispersion of an atomic wavepacket, and thus
to create a pulsed atomic soliton laser.


title: Two-parameter Asymptotics in Magnetic Weyl Calculus

abstract:
  This paper is concerned with small parameter asymptotics of magnetic quantum
systems. In addition to a semiclassical parameter \eps, the case of small
coupling $\lambda$ to the magnetic vector potential naturally occurs in this
context. Magnetic Weyl calculus is adapted to incorporate both parameters, at
least one of which needs to be small. Of particular interest is the expansion
of the Weyl product which can be used to expand the product of operators in a
small parameter, a technique which is prominent to obtain perturbation
expansions. Three asymptotic expansions for the magnetic Weyl product of two
H\"ormander class symbols are proven: (i) \eps \ll 1 and \lambda \ll 1, (ii)
\eps \ll 1 and \lambda = 1 as well as (iii) \eps = 1 and \lambda \ll 1.
Expansions (i) and (iii) are impossible to obtain with ordinary Weyl calculus.
Furthermore, I relate results derived by ordinary Weyl calculus with those
obtained with magnetic Weyl calculus by one- and two-parameter expansions. To
show the power and versatility of magnetic Weyl calculus, I derive the
semirelativistic Pauli equation as a scaling limit from the Dirac equation up
to errors of 4th order in 1/c.


title:
Supergravity and Superstring Signatures of the One-Parameter Model at
  LHC

abstract:
  Many string constructions have a classical no-scale structure, resulting in a
one-parameter model (OPM) for the supersymmetry breaking soft terms. As a
highly constrained subset of mSUGRA, the OPM has the potential to be
predictive. Conversely, if the observed superpartner spectrum at LHC is a
subset of the OPM parameter space, then this may provide a clue to the
underlying theory at high energies. We investigate the allowed supersymmetry
parameter space for a generic one-parameter model taking into account the most
recent experimental constraints. We find that in the strict moduli scenario,
there are no regions of the parameter space which may satisfy all constraints.
However, for the dilaton scenario, there are small regions of the parameter
space where all constraints may be satisfied and for which the observed dark
matter density may be generated. We also survey the possible signatures which
may be observable at the Large Hadron Collider (LHC). Finally, we compare
collider signatures of OPM to those from a model with non-universal soft terms,
in particular those of an intersecting D6-brane model. We find that it may be
possible to distinguish between these diverse scenarios at LHC.


title: Formal deformations and their categorical general fibre

abstract:
  We study the general fibre of a formal deformation over the formal disk of a
projective variety from the view point of abelian and derived categories. The
abelian category of coherent sheaves of the general fibre is constructed
directly from the formal deformation and is shown to be linear over the field
of Laurent series. The various candidates for the derived category of the
general fibre are compared.
  If the variety is a surface with trivial canonical bundle, we show that the
derived category of the general fibre is again a linear triangulated category
with a Serre functor given by the square of the shift functor.


title:
Precision Measurement of 11Li moments: Influence of Halo Neutrons on the
  9Li Core

abstract:
  The electric quadrupole moment and the magnetic moment of the 11Li halo
nucleus have been measured with more than an order of magnitude higher
precision than before, |Q| = 33.3(5)mb and mu=3.6712(3)mu_N, revealing a
8.8(1.5)% increase of the quadrupole moment relative to that of 9Li. This
result is compared to various models that aim at describing the halo
properties. In the shell model an increased quadrupole moment points to a
significant occupation of the 1d orbits, whereas in a simple halo picture this
can be explained by relating the quadrupole moments of the proton distribution
to the charge radii. Advanced models so far fail to reproduce simultaneously
the trends observed in the radii and quadrupole moments of the lithium
isotopes.


title:
Measurements of time-dependent CP Asymmetries in $B \to D^{*\mp}
  \pi^{\pm}$ decays using a partial reconstruction technique

abstract:
  We report preliminary results on time-dependent CP asymmetries in $B \to
D^{*\mp}\pi^{\pm}$ decays. The CP asymmetry in these decays is proportional to
$2R_{D^{*} \pi} \sin (2\phi_1 + \phi_3 \pm \delta_{D^{*} \pi})$, where
$R_{D^{*} \pi}$ is the ratio of the magnitudes of the doubly-Cabibbo-suppressed
and Cabibbo-favoured amplitudes, $\delta_{D^{*} \pi}$ is the strong phase
difference between them, and $\phi_1$ and $\phi_3$ are two angles of the CKM
Unitarity Triangle. This study is based on a large data sample that contains
657 million $B\bar{B}$ pairs collected with the Belle detector at the KEKB
asymmetric-energy $e^+ e^-$ collider at the $\Upsilon(4S)$ resonance. We use a
partial reconstruction technique, wherein signal $B \to D^{*\mp}\pi^{\pm}$
events are identified using information only from the $\pi^{\pm}$ from the $B$
decay and the charged slow pion from the subsequent decay of the $D^{*-}$. We
obtain
  $S^+ (D^* \pi) = +0.057 \pm 0.019(\mathrm{stat}) \pm 0.012(\mathrm{sys})$ and
  $S^- (D^* \pi) = +0.038 \pm 0.020(\mathrm{stat}) \pm 0.010(\mathrm{sys})$.


title: Extended ASP tableaux and rule redundancy in normal logic programs

abstract:
  We introduce an extended tableau calculus for answer set programming (ASP).
The proof system is based on the ASP tableaux defined in [Gebser&Schaub, ICLP
2006], with an added extension rule. We investigate the power of Extended ASP
Tableaux both theoretically and empirically. We study the relationship of
Extended ASP Tableaux with the Extended Resolution proof system defined by
Tseitin for sets of clauses, and separate Extended ASP Tableaux from ASP
Tableaux by giving a polynomial-length proof for a family of normal logic
programs P_n for which ASP Tableaux has exponential-length minimal proofs with
respect to n. Additionally, Extended ASP Tableaux imply interesting insight
into the effect of program simplification on the lengths of proofs in ASP.
Closely related to Extended ASP Tableaux, we empirically investigate the effect
of redundant rules on the efficiency of ASP solving.
  To appear in Theory and Practice of Logic Programming (TPLP).


title:
Origin of ultra-high energy cosmic rays in the era of Auger and
  Telescope Array

abstract:
  The origin of ultra-high energy cosmic rays is discussed in light of the
latest observational results from the Pierre Auger Observatory, highlighting
potential astrophysical sources such as active galactic nuclei, gamma-ray
bursts, and clusters of galaxies. Key issues include their energy budget, the
acceleration and escape of protons and nuclei, and their propagation in
extragalactic radiation and magnetic fields. We briefly address the prospects
for Telescope Array and future facilities such as JEM-EUSO, and also emphasize
the importance of multi-messenger X-ray and gamma-ray signatures in addition to
neutrinos as diagnostic tools for source identification.


title: Basic properties of Fedosov and Riemannian supermanifolds

abstract:
  We discuss some differences in the properties of both even and odd Fedosov
and Riemannian supermanifolds.


title: Many-body theory of surface-enhanced Raman scattering

abstract:
  A many-body Green's function approach to the microscopic theory of
surface-enhanced Raman scattering is presented. Interaction effects between a
general molecular system and a spatially anisotropic metal particle supporting
plasmon excitations in the presence of an external radiation field are
systematically included through many-body perturbation theory. Reduction of the
exact effects of molecular-electronic correlation to the level of Hartree-Fock
mean-field theory is made for practical initial implementation, while
description of collective oscillations of conduction electrons in the metal is
reduced to that of a classical plasma density; extension of the former to a
Kohn-Sham density-functional or second-order M{\o}ller-Plesset perturbation
theory is discussed; further specialization of the latter to the random-phase
approximation allows for several salient features of the formalism to be
highlighted without need for numerical computation. Scattering and
linear-response properties of the coupled system subjected to an external
perturbing electric field in the electric-dipole interaction approximation are
investigated. Both damping and finite-lifetime effects of molecular-electronic
excitations as well as the characteristic fourth-power enhancement of the
molecular Raman scattering intensity are elucidated from first principles. It
is demonstrated that the presented theory reduces to previous models of
surface-enhanced Raman scattering and leads naturally to a semiclassical
picture of the response of a quantum-mechanical molecular system interacting
with a spatially anisotropic classical metal particle with electronic
polarization approximated by a discretized collection of electric dipoles.


title: Evidence for a Photoevaporated Circumbinary Disk in Orion

abstract:
  We have found a photoevaporated disk in the Orion Nebula that includes a wide
binary. HST/ACS observations of the proplyd 124-132 show two point-like sources
separated by 0".15, or about 60 AU at the distance of Orion. The two sources
have nearly identical I and z magnitudes. We analyze the brightest component,
Source N, comparing the observed magnitudes with those predicted using a 1 Myr
Baraffe/NEXTGEN isochrone with different accretion luminosities and
extinctions. We find that a low mass (\simeq 0.04 M_\odot) brown dwarf ~1 Myr
old with mass accretion rate \log\dot{M}\simeq -10.3, typical for objects of
this mass, and about 2 magnitudes of visual extinction provides the best fit to
the data. This is the first observation of a circumbinary disk undergoing
photoevaporation and, if confirmed by spectroscopic observations, the first
direct detection of a wide substellar pair still accreting and enshrouded in
its circumbinary disk.


title:
Compact cryogenic Kerr microscope for time-resolved studies of electron
  spin transport in microstructures

abstract:
  A compact cryogenic Kerr microscope for operation in the small volume of
high-field magnets is described. It is suited for measurements both in Voigt
and Faraday configuration. Coupled with a pulsed laser source, the microscope
is used to measure the time-resolved Kerr rotation response of semiconductor
microstructures with ~1 micron spatial resolution. The microscope was designed
to study spin transport, a critical issue in the field of spintronics. It is
thus possible to generate spin polarization at a given location on a
microstructure and probe it at a different location. The operation of the
microscope is demonstrated by time-resolved measurements of micrometer distance
diffusion of spin polarized electrons in a GaAs/AlGaAs heterojunction quantum
well at 4.2 K and 7 Tesla.


title:
New parameterization of the resonant production amplitudes near an
  inelastic threshold

abstract:
  New formulae for the resonant scattering and the production amplitudes near
an inelastic threshold are derived. It is shown that the Flatte formula,
frequently used in experimental analyses, is not sufficiently accurate. Its
application to data analysis can lead to a substantial distortion of the
effective mass spectra and of the resonance pole positions.
  A unitary parameterization, satisfying a generalized Watson theorem for the
production amplitudes, is proposed. It can be easily applied to study
production processes, multichannel meson-meson interactions and the resonance
properties, including among others the scalar resonances a0(980) and f_0(980).


title:
Dynamical simulations of charged soliton transport in conjugated
  polymers with the inclusion of electron-electron interactions

abstract:
  We present numerical studies of the transport dynamics of a charged soliton
in conjugated polymers under the influence of an external time-dependent
electric field. All relevant electron-phonon and electron-electron interactions
are nearly fully taken into account by simulating the monomer displacements
with classical molecular dynamics (MD) and evolving the wavefunction for the
$\pi$ electrons by virtue of the adaptive time-dependent density matrix
renormalization group (TDDMRG) simultaneously and nonadiabatically. It is found
that after a smooth turn-on of the external electric field the charged soliton
is accelerated at first up to a stationary constant velocity as one entity
consisting of both the charge and the lattice deformation. An ohmic region (6
mV/$\text{\AA}$ $\leq E_0\leq$ 12 mV/$\text{\AA}$) where the stationary
velocity increases linearly with the electric field strength is observed. The
relationship between electron-electron interactions and charged soliton
transport is also investigated in detail. We find that the dependence of the
stationary velocity of a charged soliton on the on-site Coulomb interactions
$U$ and the nearest-neighbor interactions $V$ is due to the extent of
delocalization of the charged soliton defect.


title: Matrix Corepresentations for SL_q(N) and SU_q(N)

abstract:
  We give an algorithm for computing matrix corepresentations for special
linear and special unitary quantum groups using a combinatorial re-indexing of
basis elements.


title:
Trap assisted creation of giant molecules and Rydberg-mediated coherent
  charge transfer in a Penning trap

abstract:
  We study two ions confined in a Penning trap. We show that electronically
highly excited states exist in which an electron is delocalized among the two
ions forming a giant molecule of several micrometer size. At energies close to
the top of the Coulomb barrier these molecular states can be regarded as
superpositions of Rydberg states of individual ions. We illuminate the
possibility to observe coherent charge transfer between the ions. Beyond a
critical principal quantum number the electron can coherently tunnel through
the Coulomb barrier to an adjacent doubly charged ion. The tunneling occurs on
timescales on which the dynamics of the nuclei can be considered frozen and
radiative decay can be neglected.


title: A Statistical Approach to Modeling Indian Classical Music Performance

abstract:
  A raga is a melodic structure with fixed notes and a set of rules
characterizing a certain mood endorsed through performance. By a vadi swar is
meant that note which plays the most significant role in expressing the raga. A
samvadi swar similarly is the second most significant note. However, the
determination of their significance has an element of subjectivity and hence we
are motivated to find some truths through an objective analysis. The paper
proposes a probabilistic method of note detection and demonstrates how the
relative frequency (relative number of occurrences of the pitch) of the more
important notes stabilize far more quickly than that of others. In addition, a
count for distinct transitory and similar looking non-transitory (fundamental)
frequency movements (but possibly embedding distinct emotions!) between the
notes is also taken depicting the varnalankars or musical ornaments decorating
the notes and note sequences as rendered by the artist. They reflect certain
structural properties of the ragas. Several case studies are presented.


title: Some Cosmological Implications of Hidden Sectors

abstract:
  We discuss some cosmological implications of extensions of the Standard Model
with hidden sector scalars coupled to the Higgs boson. We put special emphasis
on the conformal case, in which the electroweak symmetry is broken radiatively
with a Higgs mass above the experimental limit. Our refined analysis of the
electroweak phase transition in this kind of models strengthens the prediction
of a strongly first-order phase transition as required by electroweak
baryogenesis. We further study gravitational wave production and the
possibility of low-scale inflation as well as a viable dark matter candidate.


title:
Deformed matrix models, supersymmetric lattice twists and N=1/4
  supersymmetry

abstract:
  A manifestly supersymmetric nonperturbative matrix regularization for a
twisted version of N=(8,8) theory on a curved background (a two-sphere) is
constructed. Both continuum and the matrix regularization respect four exact
scalar supersymmetries under a twisted version of the supersymmetry algebra. We
then discuss a succinct Q=1 deformed matrix model regularization of N=4 SYM in
d=4, which is equivalent to a non-commutative $A_4^*$ orbifold lattice
formulation. Motivated by recent progress in supersymmetric lattices, we also
propose a N=1/4 supersymmetry preserving deformation of N=4 SYM theory on
$\R^4$. In this class of N=1/4 theories, both the regularized and continuum
theory respect the same set of (scalar) supersymmetry. By using the equivalence
of the deformed matrix models with the lattice formulations, we give a very
simple physical argument on why the exact lattice supersymmetry must be a
subset of scalar subalgebra. This argument disagrees with the recent claims of
the link approach, for which we give a new interpretation.


title:
New two-sided bound on the isotropic Lorentz-violating parameter of
  modified Maxwell theory

abstract:
  There is a unique Lorentz-violating modification of the Maxwell theory of
photons, which maintains gauge invariance, CPT, and renormalizability.
Restricting the modified-Maxwell theory to the isotropic sector and adding a
standard spin-one-half Dirac particle p^\pm with minimal coupling to the
nonstandard photon \widetilde{\gamma}, the resulting
modified-quantum-electrodynamics model involves a single dimensionless
"deformation parameter," \widetilde{\kappa}_{tr}. The exact tree-level decay
rates for two processes have been calculated: vacuum Cherenkov radiation p^\pm
\to p^\pm \widetilde{\gamma} for the case of positive \widetilde{\kappa}_{tr}
and photon decay \widetilde{\gamma} \to p^+ p^- for the case of negative
\widetilde{\kappa}_{tr}. From the inferred absence of these decays for a
particular high-quality ultrahigh-energy-cosmic-ray event detected at the
Pierre Auger Observatory and an excess of TeV gamma-ray events observed by the
High Energy Stereoscopic System telescopes, a two-sided bound on
\widetilde{\kappa}_{tr} is obtained, which improves by eight orders of
magnitude upon the best direct laboratory bound. The implications of this
result are briefly discussed.


title:
Matters of Gravity, The Newsletter of the Topical Group in Gravitation
  of the American Physical Society, Volume 32, Fall 2008

abstract:
  GGR News:
  - Remembering Wheeler, by Jim Isenberg;
  Research Briefs:
  - A Brief Summary of the WMAP5 Results, by Lyman Page;
  - Science with LIGO, by Maria Alessandra Papa;
  Conference Reports:
  - 7th LISA Symposium, by Edward K. Porter;
  - The Fourth Gulf Coast Gravity Conference, by Lior Burko


title: Lunar Laser Ranging, Gravitomagnetism and Frame-Dragging

abstract:
  During the past century Einstein's theory of General Relativity gave rise to
an experimental triumph, however, there are still aspects of this theory to be
measured or more accurately tested. One of the main challenges in experimental
gravitation, together with the direct detection of gravitational waves, is
today the accurate measurement of the gravitomagnetic field generated by the
angular momentum of a body. Here, after a description of frame-dragging and
gravitomagnetism and of the main experiments to detect these relativistic
phenomena, we show that the fundamental tests of General Relativity performed
by Lunar Laser Ranging do not, however, include a measurement of the intrinsic
gravitomagnetic field generated by the angular momentum of a body.


title: The isotropic lines of Z_{d}^{2}

abstract:
  We show that the isotropic lines in the lattice Z_{d}^{2} are the Lagrangian
submodules of that lattice and we give their number together with the number of
them through a given point of the lattice. The set of isotropic lines decompose
into orbits under the action of SL(2,Z_d). We give an explicit description of
those orbits as well as their number and their respective cardinalities. We
also develop two group actions on the group \Sigma_{D}(M) related to the topic.


title: Extension of twisted Hodge metrics for K\"ahler morphisms

abstract:
  Let f : X --> Y be a holomorphic map of complex manifolds, which is proper,
Kahler, and surjective with connected fibers, and which is smooth over Y-Z the
complement of an analytic subset Z. Let E be a Nakano semi-positive vector
bundle on X, and consider direct image sheaves F = R^qf_*(K_{X/Y} \otimes E)
for q \geq 0. In our previous paper, we discussed the Nakano semi-positivity of
F with respect to the so-called Hodge metric, when the map f is smooth. In this
paper, we discuss the extension of the induced metric on the tautological line
bundle O(1) on the projective space bundle P(F) ``over Y-Z'' as a singular
Hermitian metric with semi-positive curvature ``over Y''. As a particular
consequence, if Y is projective, R^qf_*(K_{X/Y} \otimes E) is weakly positive
over Y-Z in the sense of Viehweg.


title: Remarks on the extension of twisted Hodge metrics

abstract:
  This is a technical introduction to the paper "Extension of twisted Hodge
metrics for Kahler morphisms" by the authors.


title:
Understanding the problem of glass transition on the basis of elastic
  waves in a liquid

abstract:
  We propose that the properties of glass transition can be understood on the
basis of elastic waves. Elastic waves originating from atomic jumps in a liquid
propagate local expansion due to the anharmonicity of interatomic potential.
This creates dynamic compressive stress, which increases the activation barrier
for other events in a liquid. The non-trivial point is that the range of
propagation of high-frequency elastic waves, $d_{\rm el}$, increases with
liquid relaxation time $\tau$. A self-consistent calculation shows that this
increase gives the Vogel-Fulcher-Tammann (VFT) law. In the proposed theory, we
discuss the origin of two dynamic crossovers in a liquid: 1) the crossover from
exponential to non-exponential and from Arrhenius to VFT relaxation at high
temperature and 2) the crossover from the VFT to a more Arrhenius-like
relaxation at low temperature. The corresponding values of $\tau$ at the two
crossovers are in quantitative parameter-free agreement with experiments. The
origin of the second crossover allows us to reconcile the ongoing controversy
surrounding the possible divergence of $\tau$. The crossover to Arrhenius
relaxation universally takes place when $d_{\rm el}$ reaches system size, thus
avoiding divergence and associated theoretical complications such as
identifying the nature of the phase transition and the second phase itself.
Finally, we discuss the effect of volume on $\tau$ and the origin of liquid
fragility.


title: Standard Model Higgs Searches at the LHC

abstract:
  An overview of the searches for the Standard Model Higgs boson at the LHC is
presented. The main Higgs production and decay modes that have been studied are
introduced, and the analysis techniques and the recent developments done by the
ATLAS and CMS experiments are described. Some preliminary results from current
studies are included. The discovery potential within the first few years of
physics running is evaluated.


title: A converse to the Grace--Walsh--Szeg\H{o} theorem

abstract:
  We prove that the symmetrizer of a permutation group preserves stability of a
polynomial if and only if the group is orbit homogeneous. A consequence is that
the hypothesis of permutation invariance in the Grace-Walsh-Szeg\H{o}
Coincidence Theorem cannot be relaxed. In the process we obtain a new
characterization of the \emph{Grace-like polynomials} introduced by D. Ruelle,
and prove that the class of such polynomials can be endowed with a natural
multiplication.


title: Anyons, Deformed Oscillator Algebras and Projectors

abstract:
  We initiate an algebraic approach to the many-anyon problem based on deformed
oscillator algebras. The formalism utilizes a generalization of the deformed
Heisenberg algebras underlying the operator solution of the Calogero problem.
We define a many-body Hamiltonian and an angular momentum operator which are
relevant for a linearized analysis in the statistical parameter nu. There
exists a unique ground state and, in spite of the presence of defect lines, the
anyonic weight lattices are completely connected by the application of the
oscillators of the algebra. This is achieved by supplementing the oscillator
algebra with a certain projector algebra.


title: On $\mathcal{OL}_\infty$ structure of nuclear, quasidiagonal C*-algebras

abstract:
  We continue the study of $\mathcal{OL}_\infty$ structure of nuclear
$C^*$-algebras initiated by Junge, Ozawa and Ruan. In particular, we prove if
$\mathcal{OL}_\infty(A)<1.005,$ then $A$ has a separating family of
irreducible, stably finite representations. As an application we give examples
of nuclear, quasidiagonal $C^*$-algebras $A$ with $\mathcal{OL}_\infty(A)>1.$


title: Linear optical Fredkin gate based on partial-SWAP gate

abstract:
  We propose a scheme for linear optical quantum Fredkin gate based on the
combination of recently experimentally demonstrated linear optical partial SWAP
gate and controlled-Z gates. Both heralded gate and simplified postselected
gate operating in the coincidence basis are designed. The suggested setups have
a simple structure and require stabilization of only a single Mach-Zehnder
interferometer. A proof-of-principle experimental demonstration of the
postselected Fredkin gate appears to be feasible and within the reach of
current technology.


title: O-like Stars in the Direction of the North America and Pelican Nebulae

abstract:
  In the area covering the complex of the North America and Pelican nebulae we
identified 13 faint stars with J-H and H-Ks color indices which simulate
heavily reddened O-type stars. One of these stars is CP05-4 classified as O5 V
by Comeron and Pasquali (2005). Combining magnitudes of these stars in the
passbands I, J, H, Ks and [8.3] we were able to suspect that two of them are
carbon stars and five are late M-type AGB stars. Interstellar extinction in the
direction of these stars was estimated from the background red clump giants in
the J-H vs. H-Ks diagram and from star counts in the Ks passband. Four or five
stars are found to have a considerable probability of being O-type stars,
contributing to the ionization of North America and Pelican. If they really are
O-type stars, their interstellar extinction A(V) should be from 16 to 35 mag.
Two of them seem to be responsible for bright E and J radio rims discovered by
Matthews and Goss (1980).


title: Schr\"odinger Operators Defined by Interval Exchange Transformations

abstract:
  We discuss discrete one-dimensional Schr\"odinger operators whose potentials
are generated by an invertible ergodic transformation of a compact metric space
and a continuous real-valued sampling function. We pay particular attention to
the case where the transformation is a minimal interval exchange
transformation. Results about the spectrum and the spectral type of these
operators are established. In particular, we provide the first examples of
transformations for which the associated Schr\"odinger operators have purely
singular spectrum for every non-constant continuous sampling function.


title: Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model

abstract:
  We prove the existence of asymptotic two-soliton states in the
Fermi-Pasta-Ulam model with general interaction potential. That is, we exhibit
solutions whose difference in $\ell^2$ from the linear superposition of two
solitary waves goes to zero as time goes to infinity.


title:
A Local Clustering Algorithm for Massive Graphs and its Application to
  Nearly-Linear Time Graph Partitioning

abstract:
  We study the design of local algorithms for massive graphs. A local algorithm
is one that finds a solution containing or near a given vertex without looking
at the whole graph. We present a local clustering algorithm. Our algorithm
finds a good cluster--a subset of vertices whose internal connections are
significantly richer than its external connections--near a given vertex. The
running time of our algorithm, when it finds a non-empty local cluster, is
nearly linear in the size of the cluster it outputs.
  Our clustering algorithm could be a useful primitive for handling massive
graphs, such as social networks and web-graphs. As an application of this
clustering algorithm, we present a partitioning algorithm that finds an
approximate sparsest cut with nearly optimal balance. Our algorithm takes time
nearly linear in the number edges of the graph.
  Using the partitioning algorithm of this paper, we have designed a
nearly-linear time algorithm for constructing spectral sparsifiers of graphs,
which we in turn use in a nearly-linear time algorithm for solving linear
systems in symmetric, diagonally-dominant matrices. The linear system solver
also leads to a nearly linear-time algorithm for approximating the
second-smallest eigenvalue and corresponding eigenvector of the Laplacian
matrix of a graph. These other results are presented in two companion papers.


title: A high luminosity ERL on ring e-e+ collider for a super charm factory

abstract:
  A high luminosity energy recovery linac on ring type electron-positron
collider operating as super charm factory is proposed. It is shown that the
luminosity L=2.3 10^35 cm^-2s^-1 can be achieved for center of mass energy 3.77
GeV. The physics goals of this machine in investigation for charmed particles
properties are briefly discussed.


title: A note on minors determined by clones of semilattices

abstract:
  The C-minor partial orders determined by the clones generated by a
semilattice operation (and possibly the constant operations corresponding to
its identity or zero elements) are shown to satisfy the descending chain
condition.


title: The one-dimensional Kondo lattice model at quarter-filling

abstract:
  We revisit the problem of the quarter-filled one-dimensional Kondo lattice
model, for which the existence of a dimerized phase and a non-zero charge gap
had been reported in Phys. Rev. Lett. \textbf{90}, 247204 (2003). Recently,
some objections were raised claiming that the system is neither dimerized nor
has a charge gap. In the interest of clarifying this important issue, we show
that these objections are based on results obtained under conditions in which
the dimer order is artificially suppressed. We use the incontrovertible
dimerized phase of the Majumdar-Ghosh point of the $J_{1}-J_{2}$ Heisenberg
model as a paradigm with which to illustrate this artificial suppression.
Finally, by means of extremely accurate DMRG calculations, we show that the
charge gap is indeed non-zero in the dimerized phase.


title: Chiral Logarithms Tamed

abstract:
  We derive non-linear recursion relations for the leading chiral logarithms
(LLs). These relations not only provide a very efficient method of computation
of LLs (e.g. the 33-loop contribution is calculated in a dozen of seconds on a
PC) but also equip us with a powerful tool for the summation of the LLs. Our
method is not limited to the chiral perturbation theory only, it is pertinent
for any non-renormalizable effective field theory such as, for instance, the
theory of critical phenomena, the low-energy quantum gravity, etc.


title: Towards M2-brane Theories for Generic Toric Singularities

abstract:
  We construct several examples of (2+1) dimensional N=2 supersymmetric
Chern-Simons theories, whose moduli space is given by non-compact toric
Calabi-Yau four-folds, which are not derivable from any (3+1) dimensional CFT.
One such example is the gauge theory associated with the cone over Q^{111}. For
several examples, we explicitly confirm the matter content, superpotential
interactions and RG flows suggested by crystal models. Our results provide
additional support to the idea that crystal models are relevant for describing
the structure of these CFTs.


title: A counterexample to the a-'theorem'

abstract:
  The conclusion of the original paper was wrong, due to the incorrect
assumption that the low-energy limit at the strongly-coupled point consists of
a single, coupled SCFT. By taking into account the fact that the low-energy
limit consists of multiple decoupled parts, it was later shown in
arXiv:1011.4568 that there is no violation of the a-theorem in this system.
Furthermore, the a-theorem itself was convincingly demonstrated in
arXiv:1107.3987, and the argument presented there has been further refined. The
rest of this paper is kept as it was, for some parts of the discussions might
still be of interest.
  Original abstract: We exhibit a renormalization group flow for a
four-dimensional gauge theory along which the conformal central charge 'a'
increases. The flow connects the maximally superconformal point of an N=2 gauge
theory with gauge group SU(N+1) and N_f=2N flavors in the ultraviolet, to a
strongly-coupled superconformal point of the SU(N) gauge theory with N_f=2N
massless flavors in the infrared. Our example does not contradict the proof of
the a-theorem via a-maximization, due to the presence of accidental symmetries
in the infrared limit. Nor does it contradict the holographic a-theorem,
because these gauge theories do not possess weakly-curved holographic duals.


title:
Discerning Incompressible and Compressible Phases of Cold Atoms in
  Optical Lattices

abstract:
  Experiments with cold atoms trapped in optical lattices offer the potential
to realize a variety of novel phases but suffer from severe spatial
inhomogeneity that can obscure signatures of new phases of matter and phase
boundaries. We use a high temperature series expansion to show that
compressibility in the core of a trapped Fermi-Hubbard system is related to
measurements of changes in double occupancy. This core compressibility filters
out edge effects, offering a direct probe of compressibility independent of
inhomogeneity. A comparison with experiments is made.


title: Evaluation of Modern 3He(alpha,gamma)7Be Data

abstract:
  In both the Sun and the early universe, the 3He(alpha,gamma)7Be reaction
plays a key role. The rate of this reaction is the least certain nuclear input
needed to calculate both the primordial 7Li abundance in big bang
nucleosynthesis (BBN) and the solar neutrino flux. Taking advantage of several
recent highly precise experiments, we analyse modern 3He(alpha,gamma)7Be data
using a robust and minimally model dependent approach capable of handling
discrepant data sets dominated by systematic rather than statistical errors. We
find S34(0)=0.580 pm 0.043(0.054) keV b at the 68.3(95.4)% confidence level.


title:
Radial velocities, dynamics of stars and nebulosities with GAIA and
  VLT-GIRAFFE

abstract:
  This document is divided in two parts. The first part deals with the radial
velocities (RV) distributions for B-type stars and nebulosities observed with
the VLT-GIRAFFE in the Large and Small Magellanic Clouds towards the open
clusters NGC2004 and NGC330. Thanks to the resolution of GIRAFFE spectra, we
found that the RV distribution for the nebulosities in the LMC is bi-modal.
This bi-modality can be interpreted, in term of dynamics, by the expansion of
the LMC4 superbubble. The second part deals with the GAIA space mission and the
determination of the radial velocities by using Radial Velocity Spectrometer
(RVS) spectra. The methods to determine the radial velocities are presented as
well as preliminary results on simulated RVS spectra.


title: Exposition to Staggered Multi-Field Inflation

abstract:
  I investigate multi-field inflationary models with fields that decay during
inflation, leading to staggered inflation. This feature is natural in many
models motivated by string theory, for instance if inflatons are related to
interbrane distances and the branes start to annihilate during inflation. A
short exposition to an analytic framework is provided, enabling the computation
of leading order corrections to observables, i.e. the scalar spectral index.


title: On an elliptic Kirchhoff-type problem depending on two parameters

abstract:
  In this paper, we consider the Dirichlet problem associated to an elliptic
Kirchhoff-type equation depending on two parameters. Under rather general and
natural assumptions, we prove that, for certain values of the parameters, the
problem has at least three solutions.


title: The Cosmic Crystallinity Conundrum: Clues from IRAS 17495-2534

abstract:
  Since their discovery, cosmic crystalline silicates have presented several
challenges to understanding dust formation and evolution. The mid-infrared
spectrum of IRAS 17495$-$2534, a highly obscured oxygen-rich asymptotic giant
branch (AGB) star, is the only source observed to date which exhibits a clear
crystalline silicate absorption feature. This provides an unprecedented
opportunity to test competing hypotheses for dust formation. Observed spectral
features suggest that both amorphous and crystalline dust is dominated by
forsterite (Mg\_2 SiO\_4) rather than enstatite (MgSiO\_3) or other silicate
compositions. We confirm that high mass-loss rates should produce more
crystalline material, and show why this should be dominated by forsterite. The
presence of Mg\_2 SiO\_4 glass suggests that another factor (possibly C/O) is
critical in determining astromineralogy. Correlation between crystallinity,
mass-loss rate and initial stellar mass suggests that only the most massive AGB
stars contribute significant quantities of crystalline material to the
interstellar medium, resolving the conundrum of its low crystallinity.


title:
The radiative transfer for polarized radiation at second order in
  cosmological perturbations

abstract:
  This article investigates the full Boltzmann equation up to second order in
the cosmological perturbations. Describing the distribution of polarized
radiation by using a tensor valued distribution function, the second order
Boltzmann equation, including polarization, is derived without relying on the
Stokes parameters.


title:
The importance of local band effects for ferromagnetism in hole doped
  La$_2$CuO$_4$

abstract:
  Band calculations for supercells of La$_{(2-x)}$Ba$_x$CuO$_4$ show that the
rigid band model for doping is less adequate than what is commonly assumed. In
particular, weak ferromagnetism (FM) can appear locally around clusters of high
Ba concentration. The clustering is important at large dilution and averaged
models for magnetism, such as the virtual crystal approximation, are unable to
stabilize magnetic moments. These results give a support to the idea that weak
FM can be the cause of the destruction of superconductivity at high hole
doping.