title:
On Asymptotic Stability of Solitary Waves in Discrete Schr\"odinger
  Equation Coupled to Nonlinear Oscillator

abstract:
  The long-time asymptotics is analyzed for finite energy solutions of the 1D
discrete Schr\"odinger equation coupled to a nonlinear oscillator. The coupled
system is invariant with respect to the phase rotation group. For initial
states close to a solitary wave, the solution converges to a sum of another
solitary wave and dispersive wave which is a solution to the free Schr\"odinger
equation. The proofs use the strategy of Buslaev-Perelman: the linerization of
the dynamics on the solitary manifold, the symplectic orthogonal projection,
method of majorants, etc.


title: Towards the assignment for the $4 ^1S_0$ meson nonet

abstract:
  The strong decays of the $\pi(2070)$, $\eta(2010)$, $\eta(2100)$,
$\eta(2190)$, and $\eta(2225)$ as the $4 ^1S_0$ quark-antiquark states are
investigated in the framework of the $^3P_0$ meson decay model. It is found
that the $\pi(2070)$, $\eta(2100)$, and $\eta(2225)$ appear to be the
convincing $4 ^1S_0$ $q\bar{q}$ states while the assignment of the $\eta(2010)$
and $\eta(2190)$ as the $4 ^1S_0$ isoscalar states is not favored by their
widths. In the presence of the $\pi(2070)$, $\eta(2100)$, and $\eta(2225)$
being the members of the $4 ^1S_0$ meson nonet, the $4 ^1S_0$ kaon is
phenomenologically determined to has a mass of about 2153 MeV. The width of
this unobserved kaon is expected to be about 197 MeV in the $^3P_0$ decay
model.


title: Cohomology of Courant algebroids with split base

abstract:
  We study the (standard) cohomology $H^\bullet_{st}(E)$ of a Courant algebroid
$E$. We prove that if $E$ is transitive, the standard cohomology coincides with
the naive cohomology $H_{naive}^\bullet(E)$ as conjectured by Stienon and Xu.
For a general Courant algebroid we define a spectral sequence converging to its
standard cohomology. If $E$ is with split base, we prove that there exists a
natural transgression homomorphism $T_3$ (with image in $H^3_{naive}(E)$)
which, together with the naive cohomology, gives all $H^\bullet_{st}(E)$. For
generalized exact Courant algebroids, we give an explicit formula for $T_3$
depending only on the \v{S}evera characteristic clas of $E$.


title:
Performance Analysis of Signal Detection using Quantized Received
  Signals of Linear Vector Channel

abstract:
  Performance analysis of optimal signal detection using quantized received
signals of a linear vector channel, which is an extension of code-division
multiple-access (CDMA) or multiple-input multiple-output (MIMO) channels, in
the large system limit, is presented in this paper. Here the dimensions of
channel input and output are both sent to infinity while their ratio remains
fixed. An optimal detector is one that uses a true channel model, true
distribution of input signals, and perfect knowledge about quantization.
Applying replica method developed in statistical mechanics, we show that, in
the case of a noiseless channel, the optimal detector has perfect detection
ability under certain conditions, and that for a noisy channel its detection
ability decreases monotonically as the quantization step size increases.


title: The least singular value of a random square matrix is O(n^{-1/2})

abstract:
  Let A be a matrix whose entries are real i.i.d. centered random variables
with unit variance and suitable moment assumptions. Then the smallest singular
value of A is of order n^{-1/2} with high probability. The lower estimate of
this type was proved recently by the authors; in this note we establish the
matching upper estimate.


title: A new mechanism for massive binary black hole evolution

abstract:
  It is still unknown how the BBH evolves after its semi-major axis reached to
the sub-parsec/parsec scale where the dynamical friction with the neighboring
stars is no longer effective (the so-called the final parsec problem). In this
paper, we propose a new mechanism by which the massive BBH can naturally
coalesce within a Hubble time. We study the evolution of the BBH with triple
disks which are composed of an accretion disk around each black hole and one
circumbinary disk surrounding them. While the circumbinary disk removes the
orbital angular momentum of the BBH via the binary-disk resonant interaction,
the mass transfer from the circumbinary disk to each black hole adds some
fraction of its angular momentum to the orbital angular momentum of the BBH. We
find that there is a critical value of the mass-transfer rate where the
extraction of the orbital angular momentum from the BBH is balanced with the
addition of the orbital angular momentum to the BBH. The semi-major axis of the
BBH decays with time whereas the orbital eccentricity of the BBH grows with
time, if the mass transfer rate is smaller than the critical one, and vice
versa. Its evolutionary timescale is characterized by the product of the
viscous timescale of the circumbinary disk and the ratio of the total black
hole mass to the mass of the circumbinary disk. Since a minimum value of the
critical mass-transfer rate is larger than the Eddington accretion rate of
massive black holes with masses in the 10^{6}M_{sun} to $10^{9}M_{sun} range,
it is promising that the critical mass-transfer rate is larger than the mass
transfer rate. Most of massive BBHs, therefore, enable to merge within a Hubble
time by the proposed mechanism, which helps to solve the final parsec problem.


title: A note on James spaces and superstrictly singular operators

abstract:
  An elementary lemma is used in order to show that the natural inclusion
$J_p\to J_q$ of James spaces is superstrictly singular for $p<q$. As a
consequence, it is shown that an operator without nontrivial invariant
subspaces constructed by Charles Read is superstrictly singular.


title:
Exploring a type-theoretic approach to accessibility constraint
  modelling

abstract:
  The type-theoretic modelling of DRT that [degroote06] proposed features
continuations for the management of the context in which a clause has to be
interpreted. This approach, while keeping the standard definitions of
quantifier scope, translates the rules of the accessibility constraints of
discourse referents inside the semantic recipes. In this paper, we deal with
additional rules for these accessibility constraints. In particular in the case
of discourse referents introduced by proper nouns, that negation does not
block, and in the case of rhetorical relations that structure discourses. We
show how this continuation-based approach applies to those accessibility
constraints and how we can consider the parallel management of various
principles.


title: The multiwavelength variability of 3C 273

abstract:
  We present an update of 3C 273's database hosted by the ISDC, completed with
data from radio to gamma-ray observations over the last 10 years. We use this
large data set to study the multiwavelength properties of this
quasar,especially focussing on its variability behaviour. We study the
amplitude of the variations and the maximum variability time scales across the
broad-band spectrum and correlate the light curves in different bands,
specifically with the X-rays, to search for possible connections between the
emission at different energies. 3C 273 shows variability at all frequencies,
with amplitudes and time scales strongly depending on the energy and being the
signatures of the different emission mechanisms. The variability properties of
the X-ray band imply the presence of either two separate components (possibly a
Seyfert-like and a blazar-like) or at least two parameters with distinct timing
properties to account for the X-ray emission below and above ~20 keV. The
dominant hard X-ray emission is most probably not due to electrons accelerated
by the shock waves in the jet as their variability does not correlate with the
flaring millimeter emission, but seems to be associated to long-timescale
variations in the optical. This optical component is consistent with being
optically thin synchrotron radiation from the base of the jet and the hard
X-rays would be produced through inverse Compton processes (SSC and/or EC) by
the same electron population. We show evidence that this synchrotron component
extends from the optical to the near-infrared domain, where it is blended by
emission of heated dust that we find to be located within about 1 light-year
from the ultraviolet source.


title:
Repeated magnetic compensation behaviour in Nd0.75Gd0.25Rh3B2 alloy
  having hexagonal structure and planar anisotropy

abstract:
  The results of dc and ac magnetization, electrical resistance and heat
capacity studies in an admixed rare earth alloy Nd0.75Gd0.25Rh3B2, which is
close to the zero magnetization limit, are reported. Novel observations include
the two antiferromagnetic like transitions, concomitant repeated/multiple
magnetic compensation behaviour and a characteristic oscillatory magnetic
response, with temperature dependence of magnetization at low fields crossing
the M = 0 axis thrice. The effective coercive field relating to the residual
remanence also has an oscillatory response, with two minima located close to
two zero-crossover temperatures. The unusual behavior in Nd0.75Gd0.25Rh3B2 is
conjectured to arise from its anisotropic hexagonal structure, with planar
anisotropy, resulting in a quasi one dimensional electronic structure and the
accentuated role of conduction electron polarization near the zero
magnetization limit.


title:
A semi-empirical simulation of the extragalactic radio continuum sky for
  next generation radio telescopes

abstract:
  We have developed a semi-empirical simulation of the extragalactic radio
continuum sky suitable for aiding the design of next generation radio
interferometers such as the Square Kilometre Array (SKA). The emphasis is on
modelling the large-scale cosmological distribution of radio sources rather
than the internal details of individual galaxies. Here we provide a description
of the simulation to accompany the online release of a catalogue of 320 million
simulated radio sources. The simulation covers 20x20 deg^2 - a plausible upper
limit to the instantaneous field of view attainable with future (e.g. SKA)
aperture array technologies - out to redshift z=20, and down to flux density
limits of 10 nJy at 151, 610 MHz, 1.4, 4.86 and 18 GHz. Five distinct source
types are included: radio-quiet AGN, radio-loud AGN of the FRI and FRII
structural classes, and star-forming galaxies, the latter split into
populations of quiescent and starbursting galaxies.
  In our semi-empirical approach, the simulated sources are drawn from observed
(or extrapolated) luminosity functions and grafted onto an underlying dark
matter density field with biases which reflect their measured large-scale
clustering. A numerical Press-Schechter-style filtering of the density field is
used to identify and populate clusters of galaxies. Radio source structures are
built from point source and elliptical sub-components, and for FRI and FRII
sources an orientation-based unification and beaming model is used to partition
flux between the core and extended lobes and hotspots. The simulation output
can be post-processed to achieve more complete agreement with observational
data in the years ahead, with the aim of using these 'idealised skies' in
telescope simulators to optimise the design of the SKA itself (abridged).


title: Gigahertz quantum key distribution with InGaAs avalanche photodiodes

abstract:
  We report a demonstration of quantum key distribution (QKD) at GHz clock
rates with InGaAs avalanche photodiodes (APDs) operating in a self-differencing
mode. Such a mode of operation allows detection of extremely weak avalanches so
that the detector afterpulse noise is sufficiently suppressed. The system is
characterized by a secure bit rate of 2.37 Mbps at 5.6 km and 27.9 kbps at 65.5
km when the fiber dispersion is not compensated. After compensating the fiber
dispersion, the QKD distance is extended to 101 km, resulting in a secure key
rate of 2.88 kbps. Our results suggest that InGaAs APDs are very well suited to
GHz QKD applications.


title: On Upper-Confidence Bound Policies for Non-Stationary Bandit Problems

abstract:
  Multi-armed bandit problems are considered as a paradigm of the trade-off
between exploring the environment to find profitable actions and exploiting
what is already known. In the stationary case, the distributions of the rewards
do not change in time, Upper-Confidence Bound (UCB) policies have been shown to
be rate optimal. A challenging variant of the MABP is the non-stationary bandit
problem where the gambler must decide which arm to play while facing the
possibility of a changing environment. In this paper, we consider the situation
where the distributions of rewards remain constant over epochs and change at
unknown time instants. We analyze two algorithms: the discounted UCB and the
sliding-window UCB. We establish for these two algorithms an upper-bound for
the expected regret by upper-bounding the expectation of the number of times a
suboptimal arm is played. For that purpose, we derive a Hoeffding type
inequality for self normalized deviations with a random number of summands. We
establish a lower-bound for the regret in presence of abrupt changes in the
arms reward distributions. We show that the discounted UCB and the
sliding-window UCB both match the lower-bound up to a logarithmic factor.


title:
Iron nanoparticle formation in a metal-organic matrix: from ripening to
  gluttony

abstract:
  A simple method for the fabrication of metal nanoparticles is introduced.
Heating metal-organic crystals in vacuum results in the formation of well
defined metal particles embedded in a carbon matrix. The method is demonstrated
for iron-phthalocyanine. At 500C homogeneously distributed iron nanoparticles
with a reasonably narrow size distribution form by nucleation and ripening.
After this initial phase the formation kinetics changes drastically. The
particles move in the matrix to incorporate material. The "gluttony" phase
shows astonishing similarities with the search for nutrition of living
micro-organisms. Particle formation, ripening and gluttony are followed in-situ
by transmission electron microscopy.


title:
Bedforms in a turbulent stream.Part 2: Formation of ripples by primary
  linear instability and of dunes by non-linear pattern coarsening

abstract:
  It is widely accepted that both ripples and dunes form in rivers by primary
linear instability, the wavelength of the former scaling on the grain size,
that of the latter being controled by the water depth. We revisit here this
problem, using the computation of the turbulent flow over a wavy bottom
performed in Part 1. The details of the different mechanisms controlling
sediment transport are encoded into three quantities: the saturated flux, the
saturation length and the threshold shear stress. Theses quantities are
modelled in the case of erosion and momentum limited bed loads. This framework
allows to give a clear picture of the instability in terms of dynamical
mechanisms. The relation between the wavelength at which ripples form and the
flux saturation length is quantitatively derived. Inverting the problem,
experimental data is used to determine the saturation length as a function of
grain size and shear velocity. Finally, using the systematic expansion of the
flow field with respect to the corrugation amplitude, we discuss the non-linear
selection of ripple aspect ratio. Investingating the effect of a free surface
on the linear instability, we show that the excitation of standing waves at the
surface has a stabilising effect, independently of the details of the flow and
sediment transport models. Consequently, the shape of the dispersion relation
is such that dunes can not result from a primary linear instability. We present
the results of field experiments performed in the natural sandy Leyre river,
which evidence the formation of ripples by a linear instability and the
formation of dunes by a non-linear pattern coarsening limited by the free
surface. We show that mega-dunes form when the sand bed presents
heterogeneities such as a wide distribution of grain sizes.


title:
Vitesse de convergence dans le th\'{e}or\`{e}me limite central pour des
  cha\^{i}nes de Markov fortement ergodiques

abstract:
  Let $Q$ be a transition probability on a measurable space $E$ which admits an
invariant probability measure, let $(X_n)_n$ be a Markov chain associated to
$Q$, and let $\xi$ be a real-valued measurable function on $E$, and $S_n=\sum
_{k=1}^n\xi(X_k)$. Under functional hypotheses on the action of $Q$ and the
Fourier kernels $Q(t)$, we investigate the rate of convergence in the central
limit theorem for the sequence $(\frac{S_n}{\sqrt{n}})_n$. According to the
hypotheses, we prove that the rate is, either $\mathrm{O}(n^{-{\tau}/{2}})$ for
all $\tau<1$, or $\mathrm{O}(n^{-{1}/{2}})$. We apply the spectral Nagaev's
method which is improved by using a perturbation theorem of Keller and
Liverani, and a majoration of $|\mathbb{E}[\mathrm{e}^{\mat
hrm{i}t{S_n}/{\sqrt{n}}}]-\mathrm{e}^{{-t^2}/{2}}|$ obtained by a method of
martingale difference reduction. When $E$ is not compact or $\xi$ is not
bounded, the conditions required here on $Q(t)$ (in substance, some moment
conditions on $\xi$) are weaker than the ones usually imposed when the standard
perturbation theorem is used in the spectral method. For example, in the case
of $V$-geometric ergodic chains or Lipschitz iterative models, the rate of
convergence in the c.l.t. is $\mathrm{O}(n^{-{1}/{2}})$ under a third moment
condition on $\xi$.


title:
Quantum field theory in curved spacetime, the operator product
  expansion, and dark energy

abstract:
  To make sense of quantum field theory in an arbitrary (globally hyperbolic)
curved spacetime, the theory must be formulated in a local and covariant manner
in terms of locally measureable field observables. Since a generic curved
spacetime does not possess symmetries or a unique notion of a vacuum state, the
theory also must be formulated in a manner that does not require symmetries or
a preferred notion of a ``vacuum state'' and ``particles''. We propose such a
formulation of quantum field theory, wherein the operator product expansion
(OPE) of the quantum fields is elevated to a fundamental status, and the
quantum field theory is viewed as being defined by its OPE. Since the OPE
coefficients may be better behaved than any quantities having to do with
states, we suggest that it may be possible to perturbatively construct the OPE
coefficients--and, thus, the quantum field theory. By contrast, ground/vacuum
states--in spacetimes, such as Minkowski spacetime, where they may be
defined--cannot vary analytically with the parameters of the theory. We argue
that this implies that composite fields may acquire nonvanishing vacuum state
expectation values due to nonperturbative effects. We speculate that this could
account for the existence of a nonvanishing vacuum expectation value of the
stress-energy tensor of a quantum field occurring at a scale much smaller than
the natural scales of the theory.


title: Fesenko reciprocity map

abstract:
  In recent papers, Fesenko has defined the non-abelian local reciprocity map
for every totally-ramified arithmetically profinite ($APF$) Galois extension of
a given local field $K$ by extending the works of Hazewinkel and
Neukirch-Iwasawa. The theory of Fesenko extends the previous non-abelian
generalizations of local class field theory given by Koch-de Shalit and by A.
Gurevich. In this paper, which is research-expository in nature, we give a
detailed account of Fesenko's work including all the skipped proofs.


title: Phase synchronization in an array of driven Josephson junctions

abstract:
  We consider an array of N Josephson junctions connected in parallel and
explore the condition for chaotic synchronization. It is found that the outer
junctions can be synchronized while they remain uncorrelated to the inner ones
when an external biasing is applied. The stability of the solution is found out
for the outer junctions in the synchronization manifold. Symmetry
considerations lead to a situation wherein the inner junctions can synchronize
for certain values of parameter. In the presence of a phase difference between
the applied fields, all the junctions exhibit phase synchronization. It is also
found that chaotic motion changes to periodic in the presence of phase
differences.


title: Some results on the second Gaussian map for curves

abstract:
  We study the second Gaussian map for a curve X of genus g, in relation with
the second fundamental form of the period map. We exhibit a class of infinitely
many curves with surjective second Gaussian map. We compute its rank on the
hyperelliptic and trigonal locus and show global generation of its image for X
not hyperelliptic nor trigonal.


title: Electroweak Bremsstrahlung in Dark Matter Annihilation

abstract:
  A conservative upper bound on the total dark matter (DM) annihilation rate
can be obtained by constraining the appearance rate of the annihilation
products which are hardest to detect. The production of neutrinos, via the
process $\chi \chi \to \bar\nu \nu $, has thus been used to set a strong
general bound on the dark matter annihilation rate. However, Standard Model
radiative corrections to this process will inevitably produce photons which may
be easier to detect. We present an explicit calculation of the branching ratios
for the electroweak bremsstrahlung processes $\chi \chi \to \bar\nu \nu Z$ and
$\chi \chi \to \bar\nu e W$. These modes inevitably lead to electromagnetic
showers and further constraints on the DM annihilation cross-section. In
addition to annihilation, our calculations are also applicable to the case of
dark matter decay.


title: Electron shielding of the nuclear magnetic moment in hydrogen-like atom

abstract:
  The correction to the wave function of the ground state in a hydrogen-like
atom due to an external homogenous magnetic field is found exactly in the
parameter $Z\alpha$. The $j=1/2$ projection of the correction to the wave
function of the $ns_{1/2}$ state due to the external homogeneous magnetic field
is found for arbitrary $n$. The $j=3/2$ projection of the correction to the
wave function of the $ns_{1/2}$ state due to the nuclear magnetic moment is
also found for arbitrary $n$. Using these results, we have calculated the
shielding of the nuclear magnetic moment by the $ns_{1/2}$ electron.


title: Siegel metric and curvature of the moduli space of curves

abstract:
  We study the curvature of the moduli space M_g of curves of genus g with the
Siegel metric induced by the period map. We give an explicit formula for the
holomorphic sectional curvature of M_g along a Schiffer variation at a point P
on the curve X, in terms of the holomorphic sectional curvature of A_g and the
second Gaussian map. Finally we extend the Kaehler form of the Siegel metric as
a closed current on the Deligne-Mumford compatification of M_g and we determine
its cohomology class as a multiple of the first Chern class of the Hodge
bundle.


title: Fractal Fluctuations and Statistical Normal Distribution

abstract:
  Dynamical systems in nature exhibit selfsimilar fractal fluctuations and the
corresponding power spectra follow inverse power law form signifying long-range
space-time correlations identified as self-organized criticality. The physics
of self-organized criticality is not yet identified. The Gaussian probability
distribution used widely for analysis and description of large data sets
underestimates the probabilities of occurrence of extreme events such as stock
market crashes, earthquakes, heavy rainfall, etc. The assumptions underlying
the normal distribution such as fixed mean and standard deviation, independence
of data, are not valid for real world fractal data sets exhibiting a scale-free
power law distribution with fat tails. A general systems theory for fractals
visualizes the emergence of successively larger scale fluctuations to result
from the space-time integration of enclosed smaller scale fluctuations. The
model predicts a universal inverse power law incorporating the golden mean for
fractal fluctuations and for the corresponding power spectra, i.e., the
variance spectrum represents the probabilities, a signature of quantum systems.
Fractal fluctuations therefore exhibit quantum-like chaos. The model predicted
inverse power law is very close to the Gaussian distribution for small-scale
fluctuations, but exhibits a fat long tail for large-scale fluctuations.
Extensive data sets of Dow Jones index, Human DNA, Takifugu rubripes (Puffer
fish) DNA are analysed to show that the space/time data sets are close to the
model predicted power law distribution.


title: M2-branes Coupled to Antisymmetric Fluxes

abstract:
  By turning on antisymmetric background fluxes, we study how multiple
M2-branes are coupled to them. Our investigation concentrates on the gauge
invariance conditions for the Myers-Chern-Simons action. Furthermore, the
dimensional reduction of M2-branes to D2-branes introduces more constraints on
the newly introduced tensors. Particularly, for the theory based on A_4
algebra, we are able to fix all components of them up to an overall
normalization constant. These results can not be simply obtained from the
previously proposed cubic matrix representation for this algebra. We also
comment on cubic matrices as the representations of 3-algebras.


title:
Microscopic and Macroscopic Behaviors of Palatini Modified Gravity
  Theories

abstract:
  We show that, within modified gravity, the non-linear nature of the field
equations implies that the usual naive averaging procedure (replacing the
microscopic energy-momentum by its cosmological average) is invalid. We discuss
then how the averaging should be performed correctly and show that, as a
consequence, at classical level the physical masses and geodesics of particles,
cosmology and astrophysics in Palatini modified gravity theories are all
indistinguishable from the results of general relativity plus a cosmological
constant. Palatini gravity is however a different theory from general
relativity and predicts different internal structures of particles from the
latter. On the other hand, and in contrast to classical particles, the
electromagnetic field permeates in the space, hence a different averaging
procedure should be applied here. We show that in general Palatini gravity
theories would then affect the propagation of photons, thus changing the
behaviour of a Universe dominated by radiation. Finally, Palatini theories also
predict alterations to particle physics laws. For example, it can lead to
sensitive corrections to the hydrogen energy levels, the measurements of which
could be used to place very strong constraints on the properties of viable
Palatini gravity theories


title: Bounds on large extra dimensions from photon fusion process in SN1987A

abstract:
  The constraint on the ADD model of extra dimensions coming from photon
annihilation into Kaluza-Klein graviton in supernova cores is revisited. In the
two photon process for a conservative choice of the core parameters, we obtain
the bound on the fundamental Planck scale $M_* \gtrsim$ 1.6 TeV. The combined
energy loss rate due to nucleon-nucleon brehmstrahlung and photon annihilation
processes is rederived, which shows that the combined bounds add only second
decimal place to $M_*$. The present study can strengthen the results that are
available in the current literature for the graviton emission from SN1987A
which puts a very strong constraints on models with large extra dimensions for
the case of $n=3$ .


title: Beyond the Chameleon Mechanism

abstract:
  As a result of non-linear self-interactions, in chameleon theories where the
field couples to matter much more strongly than gravity does, the fifth force
between two bodies with thin-shell is independent of their coupling to the
field. As a consequence the bounds on the coupling coming from terrestrial
tests of gravity, measurements of the Casimir force and those constraints
imposed by the physics of compact objects, big-bang nucleosynthesis and
measurements of the cosmic microwave background anisotropies can be
exponentially relaxed.


title: Generalized Fesenko reciprocity map

abstract:
  In this paper, which is the natural continuation and generalization of
Fesenko's non-abelian reciprocity map, we extend the theory of Fesenko to
infinite $APF$-Galois extensions $L$ over a local field $K$, with finite
residue-class field $\kappa_K$ of $q=p^f$ elements, satisfying
$\pmb{\mu}_p(K^{sep})\subset K$ and $K\subset L\subset K_{\phi^d}$ where the
residue-class degree $[\kappa_L:\kappa_K]=d$. More precisely, for such
extensions $L/K$, fixing a Lubin-Tate splitting $\phi$ over $K$, we construct a
1-cocycle,
  \pmb{\Phi}_{L/K}^{(\phi)}:\text{Gal}(L/K)\to
K^\times/N_{L_0/K}L_0^\times\times U_{\widetilde{\mathbb X}(L/K)}^\diamond
/Y_{L/L_0},
  where $L_0=L\cap K^{nr}$, and study its functorial and ramification-theoretic
properties. The case $d=1$ recovers the theory of Fesenko.


title:
L-R-smash biproducts, double biproducts and a braided category of
  Yetter-Drinfeld-Long bimodules

abstract:
  Let H be a bialgebra and D an H-bimodule algebra H-bicomodule coalgebra. We
find sufficient conditions on D for the L-R-smash product algebra and coalgebra
structures on D\otimes H to form a bialgebra (in this case we say that (H, D)
is an L-R-admissible pair), called L-R-smash biproduct. The Radford biproduct
is a particular case, and so is, up to isomorphism, a double biproduct with
trivial pairing. We construct a prebraided monoidal category {\cal LR}(H),
whose objects are H-bimodules H-bicomodules M endowed with left-left and
right-right Yetter-Drinfeld module as well as left-right and right-left Long
module structures over H, with the property that, if (H, D) is an
L-R-admissible pair, then D is a bialgebra in {\cal LR}(H).


title: Bound States in Graphene

abstract:
  We present a quantum analysis of the massless excitations in graphene with a
charge impurity. When the effective charge exceeds a certain critical value,
the spectrum is quantized and is unbounded from below. The corresponding
eigenstates are square-integrable at infinity and have a rapidly oscillatory
behaviour in the short distance, which can be interpreted as a fall to the
centre. Using a cutoff regularization, we show that the effective Coulomb
interaction strength is driven to its critical value under the renormalization
group flow. In the subcritical region, we find bound states with imaginary
values of the energy for certain range of the system parameters. The physical
significance of these bound states with imaginary eigenvalues is discussed.

categories: cond-mat.mes-hall hep-th math-ph math.MP


title:
Fractional spin - a property of particles described with a fractional
  Schroedinger equation

abstract:
  It is shown, that the requirement of invariance under spatial rotations
reveales an intrinsic fractional extended translation-rotation-like property
for particles described with the fractional Schroedinger equation, which we
call fractional spin.


title:
Relevance of multiple-quasiparticle tunneling between edge states at \nu
  =p/(2np+1)

abstract:
  We present an explanation for the anomalous behavior in tunneling conductance
and noise through a point contact between edge states in the Jain series
$\nu=p/(2np+1)$, for extremely weak-backscattering and low temperatures [Y.C.
Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. {\bf{91}}, 216804 (2003)].
We consider edge states with neutral modes propagating at finite velocity, and
we show that the activation of their dynamics causes the unexpected change in
the temperature power-law of the conductance. Even more importantly, we
demonstrate that multiple-quasiparticles tunneling at low energies becomes the
most relevant process. This result will be used to explain the experimental
data on current noise where tunneling particles have a charge that can reach
$p$ times the single quasiparticle charge. In this paper we analyze the
conductance and the shot noise to substantiate quantitatively the proposed
scenario.


title: A Solution to the Monotonicity Problem for Unimodal Families

abstract:
  In this note we consider a collection C of one parameter families of unimodal
maps of [0,1]. Each family in the collection has the form uf where u is in
[0,1]. Denoting the kneading sequence of uf by K(uf), we will prove that for
each member of C, the map u->K(uf) is monotone. It then follows that for each
member of C the map u -> h(uf) is monotone, where h(uf) is the topological
entropy of uf. For interest, uf(x)=4ux(1-x) and uf(x)=usin(pi x) are shown to
belong to C.


title:
Quasi-elementary H-Azumaya algebras arising from generalized (anti)
  Yetter-Drinfeld modules

abstract:
  Let H be a Hopf algebra with bijective antipode, let \alpha, \beta be two
Hopf algebra automorphisms of H and M a finite dimensional (\alpha, \beta
)-Yetter-Drinfeld module. We prove that End(M) endowed with certain structures
becomes an H-Azumaya algebra, and the set of H-Azumaya algebras of this type is
a subgroup of BQ(k, H), the Brauer group of H.


title: Perturbative Gravity in the Causal Approach

abstract:
  Quantum theory of the gravitation in the causal approach is studied up to the
second order of perturbation theory. We prove gauge invariance and
renormalizability in the second order of perturbation theory for the pure
gravity system (massless and massive). Then we investigate the interaction of
massless gravity with matter (described by scalars and spinors) and massless
Yang-Mills fields. We obtain a difference with respect to the classical field
theory due to the fact that in quantum field theory one cannot enforce the
divergenceless property on the vector potential and this spoils the
divergenceless property of the usual energy-momentum tensor. To correct this
one needs a supplementary ghost term in the interaction Lagrangian.


title:
Single Heavy Flavour Baryons using Coulomb plus Power law interquark
  Potential

abstract:
  Properties of single heavy flavor baryons in a non relativistic potential
model with colour coulomb plus power law confinement potential have been
studied. The ground state masses of single heavy baryons and the mass
difference between the ($J^{P}={3/2}^{+}$ and $J^{P}={1/2}^{+}$) states are
computed using a spin dependent two body potential. Using the spin-flavour
structure of the constituting quarks and by defining an effective confined mass
of the constituent quarks within the baryons, the magnetic moments are
computed. The masses and magnetic moments of the single heavy baryons are found
to be in accordance with the existing experimental values and with other
theoretical predictions. It is found that an additional attractive interaction
of the order of -200 Me$V$ is required for the antisymmetric states of
$\Lambda_{Q}$ (Q$\in c,b)$. It is also found that the spin hyperfine
interaction parameters play decisive role in hadron spectroscopy.


title: Flavour Permutation Symmetry and Fermion Mixing

abstract:
  We discuss our recently proposed S3(down)xS3(up)
flavour-permutation-symmetric mixing observables, giving expressions for them
in terms of (moduli-squared) of the mixing matrix elements. We outline their
successful use in providing flavour-symmetric descriptions of
(non-flavour-symmetric) lepton mixing schemes. We develop our partially unified
flavour-symmetric description of both quark and lepton mixings, providing
testable predictions for CP-violating phases in both B decays and neutrino
oscillations.


title:
Fluctuations and Transverse Momentum Distributions in the Color
  Clustering Approach

abstract:
  We present our results on transverse momentum fluctuations, multiplicity
fluctuations and transverse momentum distributions for baryons and mesons in
the framework of the clustering of color sources. We determine under what
conditions the initial state configurations can lead to color connection, and
more specifically, if variations of the initial state can lead to a transition
from disconnected to connected color clusters, modifying the number of
effective sources. We find that beyond a critical point, one has a condensate,
containing interacting and hence color-connected sources. This point thus
specifies the onset of color deconfinement. We show that the transverse
momentum and multiplicity distributions are related to each other in a defined
way. We obtain a non-monotonic dependence of the $p_T$ and multiplicity
fluctuations with the number of participants. We present our results for the
fluctuations and the transverse momentum distributions at RHIC energies
compared to the existing experimental data and our predictions for LHC
energies.


title:
High resolution infrared spectra of NGC 6440 and NGC 6441: two massive
  Bulge Globular Clusters

abstract:
  Using the NIRSPEC spectrograph at Keck II, we have obtained infrared echelle
spectra covering the 1.5-1.8 micron range for giant stars in the massive bulge
globular clusters NGC6440 and NGC6441. We report the first high dispersion
abundance for NGC6440, [Fe/H]=-0.56+/-0.02 and we find [Fe/H]=-0.50+/-0.02 for
the blue HB cluster NGC6441. We measure an average $\alpha$-enhancement of
~+0.3 dex in both clusters, consistent with previous measurements of other
metal rich bulge clusters, and favoring the scenario of a rapid bulge formation
and chemical enrichment. We also measure very low 12C/13C isotopic ratios
(~5+/- 1), suggesting that extra-mixing mechanisms are at work during evolution
along the Red Giant Branch also in the high metallicity regime. We also measure
Al abundances, finding average [Al/Fe]=0.45+/-0.02 and [Al/Fe]=0.52+/-0.02 in
NGC6440 and NGC6441, respectively, and some Mg-Al anti-correlation in NGC6441.
We also measure radial velocities vr=-76+/-3 km/s and vr=+14+/-3 km/s and
velocity dispersions sigma=9+/-2 km/s and sigma=10+/-2 km/s, in NGC6440 and
NGC6441, respectively.


title: Addition theorems and the Drach superintegrable systems

abstract:
  We propose new construction of the polynomial integrals of motion related to
the addition theorems. As an example we reconstruct Drach systems and get some
new two-dimensional superintegrable Stackel systems with third, fifth and
seventh order integrals of motion.


title:
Compatibility with cap-products in Tsygan's formality and homological
  Duflo isomorphism

abstract:
  In this paper we prove, with details and in full generality, that the
isomorphism induced on tangent homology by the Shoikhet-Tsygan formality
$L_\infty$-quasi-isomorphism for Hochschild chains is compatible with
cap-products. This is a homological analog of the compatibility with
cup-products of the isomorphism induced on tangent cohomology by Kontsevich
formality $L_\infty$-quasi-isomorphism for Hochschild cochains.
  As in the cohomological situation our proof relies on a homotopy argument
involving a variant of {\bf Kontsevich eye}. In particular we clarify the
r\^ole played by the {\bf I-cube} introduced in \cite{CR1}.
  Since we treat here the case of a most possibly general Maurer-Cartan
element, not forced to be a bidifferential operator, then we take this
opportunity to recall the natural algebraic structures on the pair of
Hochschild cochain and chain complexes of an $A_\infty$-algebra. In particular
we prove that they naturally inherit the structure of an $A_\infty$-algebra
with an $A_\infty$-(bi)module.


title: Quasiparticle cooling of a single-Cooper-pair-transistor

abstract:
  A superconducting tunnel junction is used to directly extract quasiparticles
from one of the leads of a single-Cooper-pair-transistor. The consequent
reduction in quasiparticle density causes a lower rate of quasiparticle
tunneling onto the device. This rate is directly measured by radio-frequency
reflectometry. Local cooling may be of direct benefit in reducing the effect of
quasiparticles on coherent superconducting nanostructures.


title:
Cosmic Microwave Background Anisotropy from Nonlinear Structures in
  Accelerating Universes

abstract:
  We study the cosmic microwave background (CMB) anisotropy due to spherically
symmetric nonlinear structures in flat universes with dust and a cosmological
constant. By modeling a time-evolving spherical compensated void/lump by
Lemaitre-Tolman-Bondi spacetimes, we numerically solve the null geodesic
equations with the Einstein equations. We find that a nonlinear void redshifts
the CMB photons that pass through it regardless of the distance to it. In
contrast, a nonlinear lump blueshifts (or redshifts) the CMB photons if it is
located near (or sufficiently far from) us. The present analysis
comprehensively covers previous works based on a thin-shell approximation and a
linear/second order perturbation method and the effects of shell thickness and
full nonlinearity. Our results indicate that, if quasi-linear and large
($>100$Mpc) voids/lumps would exist, they could be observed as cold or hot
spots with temperature variance $>10^{-5}$K in the CMB sky.


title: Adding flavor on the Higgs branch

abstract:
  We study the holographic dual of the Higgs branch of N=4 SYM in four
dimensions coupled to quenched fundamental matter. The fundamentals are added
via flavor D7-branes and the Higgs phase is obtained when the color D3-branes
and the flavor D7-branes recombine with each other. The holographic dual
consists of D7-brane probes in the background generated by the color D3-branes.
In this supergravity dual the Higgs phase is realized by switching on a
selfdual field strength on the worldvolume of the D7-branes. A complementary
microscopic description in terms of dielectric D3-branes is also possible. This
microscopic approach permits a better matching with the dual field theory
analysis. Finally, the meson mass spectrum is computed by studying the
fluctuations of the flavor D7-branes.


title:
In-medium properties of nuclear fragments at the liquid-gas phase
  coexistence

abstract:
  Reactions of nuclear multifragmentation of excited finite nuclei can be
interpreted as manifestation of the nuclear liquid-gas phase transition. During
this process the matter at subnuclear density clusterizes into hot primary
fragments, which are located in the vicinity of other nuclear species. In
recent experiments there were found evidences that the symmetry and surface
energies of primary fragments change considerably as compared to isolated cold
or low-excited nuclei. The new modified properties of primary fragments should
be taken into account during their secondary de-excitation.


title: On the Milnor fibers of cyclic quotient singularities

abstract:
  The oriented link of the cyclic quotient singularity
  $\mathcal{X}_{p,q}$ is orientation-preserving diffeomorphic to the lens space
$L(p,q)$ and carries the standard contact structure $\xi_{st}$. Lisca
classified the Stein fillings of $(L(p,q), \xi_{st})$ up to diffeomorphisms and
conjectured that they correspond bijectively through an {\it explicit} map to
the Milnor fibers associated with the irreducible components (all of them being
smoothing components) of the reduced miniversal space of deformations of
$\mathcal{X}_{p,q}$. We prove this conjecture using the smoothing equations
given by Christophersen and Stevens. Moreover, based on a different description
of the Milnor fibers given by de Jong and van Straten, we also canonically
identify these fibers with Lisca's fillings. Using these and a newly introduced
additional structure - the order - associated with lens spaces, we prove that
the above Milnor fibers are pairwise non-diffeomorphic (by diffeomorphisms
which preserve the orientation and order). This also implies that de Jong and
van Straten parametrize in the same way the components of the reduced
miniversal space of deformations as Christophersen and Stevens.


title: Comparison between criteria leading to the weak invariance principle

abstract:
  The aim of this paper is to compare various criteria leading to the central
limit theorem and the weak invariance principle. These criteria are the
martingale-coboundary decomposition developed by Gordin in Dokl. Akad. Nauk
SSSR 188 (1969), the projective criterion introduced by Dedecker in Probab.
Theory Related Fields 110 (1998), which was subsequently improved by Dedecker
and Rio in Ann. Inst. H. Poincar\'{e} Probab. Statist. 36 (2000) and the
condition introduced by Maxwell and Woodroofe in Ann. Probab. 28 (2000) later
improved upon by Peligrad and Utev in Ann. Probab. 33 (2005). We prove that in
every ergodic dynamical system with positive entropy, if we consider two of
these criteria, we can find a function in $\mathbb{L}^2$ satisfying the first
but not the second.


title: Carrier relaxation in Si/SiO$_2$ quantum dots

abstract:
  Carrier relaxation due to both optical and nonradiative intraband transitions
in silicon quantum dots in SiO$_2$ has been considered. Interaction of confined
holes with optical phonons has been studied. The Huang-Rhys factor is
calculated for such transitions. The probability of intraband transition of a
confined hole emitting several optical phonons is estimated.


title:
Analog information processing at the quantum limit with a Josephson ring
  modulator

abstract:
  Amplifiers are crucial in every experiment carrying out a very sensitive
measurement. However, they always degrade the information by adding noise.
Quantum mechanics puts a limit on how small this degradation can be.
Theoretically, the minimum noise energy added by a phase preserving amplifier
to the signal it processes amounts at least to half a photon at the signal
frequency. In this article, we show that we can build a practical microwave
device that fulfills the minimal requirements to reach the quantum limit. This
is of importance for the readout of solid state qubits, and more generally, for
the measurement of very weak signals in various areas of science. We also
discuss how this device can be the basic building block for a variety of
practical applications such as amplification, noiseless frequency conversion,
dynamic cooling and production of entangled signal pairs.


title:
Pseudogap Value in the Energy Spectrum of LaOFeAs: Fixed Spin Moment
  Treatment

abstract:
  The experimental data available up to date in literature corresponding to the
paramagnetic - spin density wave transition in nonsuperconducting LaOFeAs are
discussed. In particular, we pay attention that upon spin density wave
transition there is a relative decrease of the density of states on the Fermi
level and a pseudogap formation. The values of these quantities are not
properly described in frames of the density functional theory. The agreement of
them with experimental estimations becomes more accurate with the use of fixed
spin moment procedure when iron spin moment is set to experimental value.
Strong electron correlations which are not included into the present
calculation scheme may lead both to the decrease of spin moment and
renormalization of energy spectrum in the vicinity of the Fermi level for
correct description of discussed characteristics.


title:
Observational constraints on models for the interstellar magnetic field
  in the Galactic disk

abstract:
  Our purpose is to place firm observational constraints on the three most
widely used theoretical models for the spatial configuration of the large-scale
interstellar magnetic field in the Galactic disk, namely, the ring, the
axisymmetric and the bisymmetric field models.
  We use the rotation measures (RMs) of low-latitude Galactic pulsars and
combine them with their dispersion measures and estimated distances to map out
the line-of-sight component of the interstellar magnetic field in the near half
of the Galactic disk. We then fit our map of the line-of-sight field to the
three aforementioned theoretical field models and discuss the acceptability of
each fit, in order to determine whether the considered field model is allowed
by the pulsar data or not.
  Strictly speaking, we find that all three field models are ruled out by the
pulsar data. Furthermore, none of them appears to perform significantly better
than the others. From this we conclude that the large-scale interstellar
magnetic field in the Galactic disk has a more complex pattern than just
circular, axisymmetric or bisymmetric.


title: Random walks in space time mixing environments

abstract:
  We prove that random walks in random environments, that are exponentially
mixing in space and time, are almost surely diffusive, in the sense that their
scaling limit is given by the Wiener measure.


title: Synchronization in Networks of Identical Linear Systems

abstract:
  The paper investigates the synchronization of a network of identical linear
state-space models under a possibly time-varying and directed interconnection
structure. The main result is the construction of a dynamic output feedback
coupling that achieves synchronization if the decoupled systems have no
exponentially unstable mode and if the communication graph is uniformly
connected. The result can be interpreted as a generalization of classical
consensus algorithms. Stronger conditions are shown to be sufficient but to
some extent, also necessary to ensure synchronization with the diffusive static
output coupling often considered in the literature.


title: Nonlinear susceptibilities and the measurement of a cooperative length

abstract:
  We derive the exact beyond-linear fluctuation dissipation relation,
connecting the response of a generic observable to the appropriate correlation
functions, for Markov systems. The relation, which takes a similar form for
systems governed by a master equation or by a Langevin equation, can be derived
to every order, in large generality with respect to the considered model, in
equilibrium and out of equilibrium as well. On the basis of the fluctuation
dissipation relation we propose a particular response function, namely the
second order susceptibility of the two-particle correlation function, as an
effective quantity to detect and quantify cooperative effects in glasses and
disordered systems. We test this idea by numerical simulations of the
Edwards-Anderson model in one and two dimensions.


title:
Diophantine Undecidability of Holomorphy Rings of Function Fields of
  Characteristic 0

abstract:
  Let $K$ be a one-variable function field over a field of constants of
characteristic 0. Let $R$ be a holomorphy subring of $K$, not equal to $K$. We
prove the following undecidability results for $R$: If $K$ is recursive, then
Hilbert's Tenth Problem is undecidable in $R$. In general, there exist
$x_1,...,x_n \in R$ such that there is no algorithm to tell whether a
polynomial equation with coefficients in $\Q(x_1,...,x_n)$ has solutions in
$R$.


title:
Relative clustering and the joint halo occupation distribution of
  red-sequence and blue-cloud galaxies in COMBO-17

abstract:
  This paper studies the relative spatial distribution of red-sequence and
blue-cloud galaxies, and their relation to the dark matter distribution in the
COMBO-17 survey as function of scale down to z~1. We measure the 2nd-order
auto- and cross-correlation functions of galaxy clustering and express the
relative biasing by using aperture statistics. Also estimated is the relation
between the galaxies and the dark matter distribution exploiting galaxy-galaxy
lensing (GGL). All observables are further interpreted in terms of a halo
model. To fully explain the galaxy clustering cross-correlation function with a
halo model, we need to introduce a new parameter,R, that describes the
statistical relation between numbers of red and blue galaxies within the same
halo. We find that red and blue galaxies are clearly differently clustered, a
significant evolution of the relative clustering with redshift was not found.
There is evidence for a scale-dependence of relative biasing. The relative
clustering, the GGL and, with some tension, the galaxy numbers can be explained
consistently within a halo model. For the cross-correlation function one
requires a HOD variance that becomes Poisson even for relatively small
occupancy numbers. For our sample, this rules out with high confidence a
"Poisson satellite" scenario as found in semi-analytical models. Red galaxies
have to be concentrated towards the halo centre, either by a central red galaxy
or by a concentration parameter above that for dark matter.The value of R
depends on the presence or absence of central galaxies: If no central galaxies
or only red central galaxies are allowed, R is consistent with zero, whereas a
positive correlation $R=+0.5\pm0.2$ is needed if both blue and red galaxies can
have central galaxies.[ABRIDGED]


title:
Extended affine Lie algebras and other generalizations of affine Lie
  algebras - a survey

abstract:
  This is a survey on extended affine Lie algebras and related types of Lie
algebras, which generalize affine Lie algebras.


title: Testing Chameleon models in the laboratory

abstract:
  We review some recent developments in chameleon models. In particular we
discuss the possibility of chameleons coupling both to photons and baryonic
matter with different coupling strengths. We will discuss the possibility of
probing the chameleon-photon coupling with quantum vacuum experiments in the
laboratory.


title: Enriched MU-Calculi Module Checking

abstract:
  The model checking problem for open systems has been intensively studied in
the literature, for both finite-state (module checking) and infinite-state
(pushdown module checking) systems, with respect to Ctl and Ctl*. In this
paper, we further investigate this problem with respect to the \mu-calculus
enriched with nominals and graded modalities (hybrid graded Mu-calculus), in
both the finite-state and infinite-state settings. Using an automata-theoretic
approach, we show that hybrid graded \mu-calculus module checking is solvable
in exponential time, while hybrid graded \mu-calculus pushdown module checking
is solvable in double-exponential time. These results are also tight since they
match the known lower bounds for Ctl. We also investigate the module checking
problem with respect to the hybrid graded \mu-calculus enriched with inverse
programs (Fully enriched \mu-calculus): by showing a reduction from the domino
problem, we show its undecidability. We conclude with a short overview of the
model checking problem for the Fully enriched Mu-calculus and the fragments
obtained by dropping at least one of the additional constructs.


title:
Leading coefficients of the Kazhdan-Lusztig polynomials for an Affine
  Weyl group of type $\widetilde{B_2}$

abstract:
  In this paper we compute the leading coefficients $\mu (u,w)$ of the
Kazhdan--Lusztig polynomials $P_{u,w}$ for an affine Weyl group of type
$\tilde{B}_2$. By using the \textbf{a}-function of a Coxeter group defined by
Lusztig (see [L1, \S2]), we compute most $\mu (u,w)$ explicitly. With part of
these values $\mu (u,w)$, we show that a conjecture of Lusztig on distinguished
involutions is true for an affine Weyl group of type $\tilde{B}_2$. We also
show that the conjectural formula in [L3, (12)] needs a modification.


title: High frequency intrinsic modes in El Ni\~no Southern Oscillation Index

abstract:
  Recent $daily$ data of the Southern Oscillation Index have been analyzed. The
power spectrum indicates major intrinsic geophysical short periods. We find
interesting ``high frequency'' oscillations at 24, 27, 37, 76, 100 and 365
days. In particular the 24 days peaks may correspond to the Branstator-Kushnir
wave, the 27 days may be due to the moon effect rotation, the 37 days peaks is
most probably related to the Madden and Julian Oscillation. It is not yet clear
the explanations for the 76 days which may be associated with interseasonal
oscillation in the tropical atmosphere; the 100 days could be resulting from a
mere beat between the 37 and 27 periods, or the 76 and 365 days. Next these
periods are used to reconstruct the signal and to produce a forecast for the
next 9 months, at the time of writing. After cleansing the signal of those
periodicities a detrended fluctuation analysis is performed to reveal the
nature of the stochastic structures in the signal and whether specific
correlation can be found. We study the evolution of the distribution of first
return times, in particular between $extreme$ $events$. A markedly significant
difference from the expected distribution for uncorrelated events is found.


title:
Global well-posedness of the critical Burgers equation in critical Besov
  spaces

abstract:
  We make use of the method of modulus of continuity \cite{K-N-S} and Fourier
localization technique \cite{A-H} to prove the global well-posedness of the
critical Burgers equation $\partial_{t}u+u\partial_{x}u+\Lambda u=0$ in
critical Besov spaces $\dot{B}^{\frac{1}{p}}_{p,1}(\mathbb{R})$ with
$p\in[1,\infty)$, where $\Lambda=\sqrt{-\triangle}$.


title: Extrema of discrete Wigner functions and applications

abstract:
  We study the class of discrete Wigner functions proposed by Gibbons et al.
[Phys. Rev. A 70, 062101 (2004)] to describe quantum states using a discrete
phase-space based on finite fields. We find the extrema of such functions for
small Hilbert space dimensions, and present a quantum information application:
a construction of quantum random access codes. These are constructed using the
complete set of phase-space point operators to find encoding states and to
obtain the codes' average success rates for Hilbert space dimensions 2,3,4,5,7
and 8.


title:
NLO Semi-inclusive Drell-Yan cross-section in Quantum ChromoDynamics as
  a Factorization Analyzer

abstract:
  We evaluate in perturbative QCD the semi-inclusive Drell-Yan cross-section
for the production of a single hadron accompaining the lepton pair. We
demonstrate to one loop level a collinear factorization formula within the
fracture functions approach. We propose such a process as a factorization
analyzer in hadronic collisions. Phenomenological implications at the hadron
colliders are briefly discussed.


title: Effect of hydrogen bond cooperativity on the behavior of water

abstract:
  Four scenarios have been proposed for the low--temperature phase behavior of
liquid water, each predicting different thermodynamics. The physical mechanism
which leads to each is debated. Moreover, it is still unclear which of the
scenarios best describes water, as there is no definitive experimental test.
Here we address both open issues within the framework of a microscopic cell
model by performing a study combining mean field calculations and Monte Carlo
simulations. We show that a common physical mechanism underlies each of the
four scenarios, and that two key physical quantities determine which of the
four scenarios describes water: (i) the strength of the directional component
of the hydrogen bond and (ii) the strength of the cooperative component of the
hydrogen bond. The four scenarios may be mapped in the space of these two
quantities. We argue that our conclusions are model-independent. Using
estimates from experimental data for H bond properties the model predicts that
the low-temperature phase diagram of water exhibits a liquid--liquid critical
point at positive pressure.


title:
Magnetized Bianchi Type $VI_{0}$ Barotropic Massive String Universe with
  Decaying Vacuum Energy Density $\Lambda$

abstract:
  Bianchi type $VI_{0}$ massive string cosmological models using the technique
given by Letelier (1983) with magnetic field are investigated. To get the
deterministic models, we assume that the expansion ($\theta$) in the model is
proportional to the shear ($\sigma$) and also the fluid obeys the barotropic
equation of state. It was found that vacuum energy density $\Lambda \propto
\frac{1}{t^{2}}$ which matches with natural units. The behaviour of the models
from physical and geometrical aspects in presence and absence of magnetic field
is also discussed.


title: Topological structures in the equities market network

abstract:
  We present a new method for articulating scale-dependent topological
descriptions of the network structure inherent in many complex systems. The
technique is based on "Partition Decoupled Null Models,'' a new class of null
models that incorporate the interaction of clustered partitions into a random
model and generalize the Gaussian ensemble. As an application we analyze a
correlation matrix derived from four years of close prices of equities in the
NYSE and NASDAQ. In this example we expose (1) a natural structure composed of
two interacting partitions of the market that both agrees with and generalizes
standard notions of scale (eg., sector and industry) and (2) structure in the
first partition that is a topological manifestation of a well-known pattern of
capital flow called "sector rotation.'' Our approach gives rise to a natural
form of multiresolution analysis of the underlying time series that naturally
decomposes the basic data in terms of the effects of the different scales at
which it clusters. The equities market is a prototypical complex system and we
expect that our approach will be of use in understanding a broad class of
complex systems in which correlation structures are resident.


title: Equilibrium adsorption on a random site surface

abstract:
  We examine the reversible adsorption of spherical solutes on a random site
surface in which the adsorption sites are uniformly and randomly distributed on
a substrate. Each site can be occupied by one solute provided that the nearest
occupied site is at least one diameter away. The model is characterized by the
site density and the bulk phase activity of the adsorbate. We develop a general
statistical mechanical description of the model and we obtain exact expressions
for the adsorption isotherms in limiting cases of large and small activity and
site density, particularly for the one dimensional version of the model. We
also propose approximate isotherms that interpolate between the exact results.
These theories are in good agreement with numerical simulations of the model in
two dimensions.


title: Shadows, currents and AdS fields

abstract:
  Conformal totally symmetric arbitrary spin currents and shadow fields in flat
space-time of dimension greater than or equal to four are studied. Gauge
invariant formulation for such currents and shadow fields is developed. Gauge
symmetries are realized by involving the Stueckelberg fields. Realization of
global conformal boost symmetries is obtained. Gauge invariant differential
constraints for currents and shadow fields are obtained. AdS/CFT correspondence
for currents and shadow fields and the respective normalizable and
non-normalizable solutions of massless totally symmetric arbitrary spin AdS
fields is studied. The bulk fields are considered in modified de Donder gauge
that leads to decoupled equations of motion. We demonstrate that leftover
on-shell gauge symmetries of bulk fields correspond to gauge symmetries of
boundary currents and shadow fields, while the modified de Donder gauge
conditions for bulk fields correspond to differential constraints for boundary
conformal currents and shadow fields. Breaking conformal symmetries, we find
interrelations between the gauge invariant formulation of the currents and
shadow fields and the gauge invariant formulation of massive fields.


title: Disks around CQ Tau and MWC 758: dense PDR or gas dispersal?

abstract:
  The overall properties of disks surrounding intermediate PMS stars (HAe) are
not yet well constrained by current observations. The disk inclination, which
significantly affect SED modeling, is often unknown. We attempted to resolve
the disks around CQ Tau and MWC 758, to provide accurate constraints on the
disk parameters, in particular the temperature and surface density
distribution. We report arcsecond resolution observations of dust and CO line
emissions with the IRAM array. The disk properties are derived using a standard
disk model. We use the Meudon PDR code to study the chemistry. The two disks
share some common properties. The mean CO abundance is low despite disk
temperatures above the CO condensation temperature. Furthermore, the CO surface
density and dust opacity have different radial dependence. The CQ Tau disk
appears warmer, and perhaps less dense than that of MWC 758. Modeling the
chemistry, we find that photodissociation of CO is a viable mechanism to
explain the low abundance. The photospheric flux is not sufficient for this: a
strong UV excess is required. In CQ Tau, the high temperature is consistent
with expectation for a PDR. The PDR model has difficulty explaining the mild
temperatures obtained in MWC 758, for which a low gas-to-dust ratio is
preferred. A yet unexplored alternative could be that, despite currently high
gas temperatures, CO remains trapped in grains, as the models suggest that
large grains can be cold enough to prevent thermal desorption of CO. The low
inclination of the CQ Tau disk, ~30^\circ, challenges previous interpretations
given for the UX Ori - like luminosity variations of this star. We conclude
that CO cannot be used as a simple tracer of gas-to-dust ratio, the CO
abundance being affected by photodissociation, and grain growth.


title:
Mass hierarchy determination using atmospheric neutrinos for small
  $\theta_{13}$

abstract:
  This paper is withdrawn and a corrected, extended and more comprehensive
paper is put on as arXiv:0905.2382.


title: Correspondence between modified gravity and 5D Ricci-flat cosmologies

abstract:
  We study the correspondence between two theoretical frameworks for describing
dark energy, $f(R)$ gravity and higher-dimensional Space-Time-Matter (STM) or
induced-matter theory. We show that the Hubble expansion parameter in $f(R)$
gravity can be associated with a combination of metric functions in STM theory,
and consider a specific example whose properties are consistent with late-time
acceleration.


title:
Singular value decomposition of large random matrices (for two-way
  classification of microarrays)

abstract:
  Asymptotic behavior of the singular value decomposition (SVD) of blown up
matrices and normalized blown up contingency tables exposed to Wigner-noise is
investigated.It is proved that such an m\times n matrix almost surely has a
constant number of large singular values (of order \sqrt{mn}), while the rest
of the singular values are of order \sqrt{m+n} as m,n\to\infty. Concentration
results of Alon et al. for the eigenvalues of large symmetric random matrices
are adapted to the rectangular case, and on this basis, almost sure results for
the singular values as well as for the corresponding isotropic subspaces are
proved. An algorithm, applicable to two-way classification of microarrays, is
also given that finds the underlying block structure.


title:
Boundaries of Siegel disks - numerical studies of their dynamics and
  regularity

abstract:
  Siegel disks are domains around fixed points of holomorphic maps in which the
maps are locally linearizable (i.e., become a rotation under an appropriate
change of coordinates which is analytic in a neighborhood of the origin). The
dynamical behavior of the iterates of the map on the boundary of the Siegel
disk exhibits strong scaling properties which have been intensively studied in
the physical and mathematical literature.
  In the cases we study, the boundary of the Siegel disk is a Jordan curve
containing a critical point of the map (we consider critical maps of different
orders), and there exists a natural parameterization which transforms the
dynamics on the boundary into a rotation. We compute numerically this
parameterization and use methods of harmonic analysis to compute the global
Holder regularity of the parameterization for different maps and rotation
numbers.
  We obtain that the regularity of the boundaries and the scaling exponents are
universal numbers in the sense of renormalization theory (i.e., they do not
depend on the map when the map ranges in an open set), and only depend on the
order of the critical point of the map in the boundary of the Siegel disk and
the tail of the continued function expansion of the rotation number. We also
discuss some possible relations between the regularity of the parameterization
of the boundaries and the corresponding scaling exponents.


title: Collimator R&D

abstract:
  The importance of collimator R&D with test beam facilities is demonstrated
with the example of ILC collimator studies at SLAC End Station A. Related LHC
collimator aspects and longer term plans are addressed.


title: Locally Toroidal Polytopes and Modular Linear Groups

abstract:
  When the standard representation of a crystallographic Coxeter group G (with
string diagram) is reduced modulo the integer d>1, one obtains a finite group
G^d which is often the automorphism group of an abstract regular polytope.
Building on earlier work in the case that d is an odd prime, we here develop
methods to handle composite moduli and completely describe the corresponding
modular polytopes when G is of spherical or Euclidean type. Using a modular
variant of the quotient criterion, we then describe the locally toroidal
polytopes provided by our construction, most of which are new.


title: N=4 supersymmetric 3-particles Calogero model

abstract:
  We constructed the most general N=4 superconformal 3-particles systems with
translation invariance. In the basis with decoupled center of mass the
supercharges and Hamiltonian possess one arbitrary function which defines all
potential terms. We have shown that with the proper choice of this function one
may describe the standard, $A_2$ Calogero model as well as $BC_2, B_2,C_2$ and
$D_2$ Calogero models with N=4 superconformal symmetry. The main property of
all these systems is that even with the coupling constant equal to zero they
still contain nontrivial interactions in the fermionic sector. In other words,
there are infinitely many non equivalent N=4 supersymmetric extensions of the
free action depending on one arbitrary function. We also considered
quantization and explicitly showed how the supercharges and Hamiltonian are
modified.


title:
An extension of the cosmological standard model with a bounded Hubble
  expansion rate

abstract:
  The possibility of having an extension of the cosmological standard model
with a Hubble expansion rate $H$ constrained to a finite interval is
considered. Two periods of accelerated expansion arise naturally when the
Hubble expansion rate approaches to the two limiting values. The new
description of the history of the universe is confronted with cosmological data
and with several theoretical ideas going beyond the standard cosmological
model.


title:
Ejecta Exchange, Color Evolution in the Pluto System, and Implications
  for KBOs and Asteroids with Satellites

abstract:
  We examine the ability of impacts by Kuiper Belt debris to cause regolith
exchange between objects in the Pluto system. We find that ejecta velocities
from KB impacts are too low to escape from Pluto and Charon. However, ejecta
can escape Nix and Hydra, and is capable of covering one another to depths as
high as 10s of meters, and Charon and Pluto, perhaps to depths up to several
10s of cm. Although Pluto's annual atmospheric frost deposition cycle will
cover such imported debris on timescales faster than it is emplaced, no such
masking mechanism is available on Hydra, Nix, and Charon. As a result, ejecta
exchange between these bodies is expected to evolve their colors, albedos, and
other photometric properties to be similar. We examined the ability of ejecta
exchange to work for other Kuiper Belt binaries and found the process can be
effective in many cases. This process may also operate in asteroid binary
systems.


title: Disorder effects in the quantum kagome antiferromagnet ZnCu3(OH)6Cl2

abstract:
  The recent NMR experiments on ZnCu3(OH)6Cl2 motivate our study of the effect
of non- magnetic defects on the antiferromagnetic spin-1/2 kagome lattice. We
use exact diagonalization methods to study the effect of two such defects on
finite size systems. Our results, obtained without adjustable parameters, are
in good quantitative agreement with recent Oxygen 17 NMR data. They provide
support for the experimental interpretation of the presence of defects within
the kagome layers due to Zn/Cu substitutions. Our results also show that
disorder effects become relevant at lower temperatures, raising questions about
the experimental evidence for the absence of an intrinsic spin gap in the
kagome 2D layers.


title: A MacWilliams Identity for Convolutional Codes: The General Case

abstract:
  A MacWilliams Identity for convolutional codes will be established. It makes
use of the weight adjacency matrices of the code and its dual, based on state
space realizations (the controller canonical form) of the codes in question.
The MacWilliams Identity applies to various notions of duality appearing in the
literature on convolutional coding theory.


title:
Experimental realization of highly-efficient broadband coupling of
  single quantum dots to a photonic crystal waveguide

abstract:
  We present time-resolved spontaneous emission measurements of single quantum
dots embedded in photonic crystal waveguides. Quantum dots that couple to the
photonic crystal waveguide are found to decay up to 27 times faster than
uncoupled quantum dots. From these measurements $\beta$-factors of up to 0.89
are derived, and an unprecedented large bandwidth of 20 nm is demonstrated.
This shows the promising potential of photonic crystal waveguides for efficient
single-photon sources. The scaled frequency where the enhancement is observed
is in excellent agreement with theory taking into account that the light-matter
coupling is strongly enhanced due to the significant slow-down of light in the
photonic crystal waveguide.


title:
Consequences of a Pati-Salam unification of the electroweak-scale active
  $\nu_R$ model

abstract:
  If right-handed neutrinos are {\em not} singlets under the electroweak gauge
group as it was proposed in a recent model, they can acquire electroweak scale
masses and are thus accessible experimentally in the near future. When this
idea is combined with quark-lepton unification \`{a} la Pati-Salam, one is
forced to introduce new neutral particles which are singlets under the Standard
Model (SM). These "sterile neutrinos" which exist in both helicities and which
are different in nature from the popular particles with the same name can have
their own seesaw with masses in the keV range for the lighter of the two
eigenstates. The keV sterile neutrinos have been discussed in the literature as
warm dark matter candidates with wide ranging astrophysical consequences such
as structure formation, supernova asymetries, pulsar kicks, etc..In addition,
the model contains W-like and Z-like heavy gauge bosons which might be
accessible at the LHC or the ILC. An argument is presented on why, in this
model, it is natural to have four families which can obey existing constraints.


title: How complex a complex network of equal nodes can be?

abstract:
  Positive Lyapunov exponents measure the asymptotic exponential divergence of
nearby trajectories of a dynamical system. Not only they quantify how chaotic a
dynamical system is, but since their sum is an upper bound for the entropy by
the Ruelle inequality, they also provide a convenient way to quantify the
complexity of an active network. We present numerical evidences that for a
large class of active networks, the sum of the positive Lyapunov exponents is
bounded by the sum of the positive Lyapunov exponents of the corresponding
synchronization manifold, the last quantity being in principle easier to
compute than the latter. This fact is a consequence of the property that for an
active network considered here, the amount of information produced is more
affected by the interactions between the nodes than by the topology of the
network. Using the inequality described above, we explain how to predict the
behavior of a large active network only knowing the information provided by an
active network consisting of two coupled nodes.


title: Accelerating Branes and Brane Temperature

abstract:
  We define the local acceleration and jerk of a relativistic brane in an
ambient spacetime, and construct from them a dimensionless parameter lambda
that must be small for an interpretation of brane acceleration as local Unruh
temperature. As examples, we discuss (i) open rotating branes, for which
lambda>1 (ii) closed spherical branes expanding in Minkowski spacetime, for
which lambda=0 when the worldvolume is either an Einstein static universe or de
Sitter space, in which case the brane temperature equals the Gibbons-Hawking
temperature, (iii) closed spherical branes in anti-de Sitter spacetime, for
which a maximally symmetric worldvolume is anti-de Sitter, Minkowski or de
Sitter according to whether the magnitude of the brane acceleration is less
than, equal to or greater than a `critical' value, and (iv) the BTZ black hole,
viewed as a membrane.


title:
Breakdown of Landau Theory in Overdoped Cuprates near the Onset of
  Superconductivity

abstract:
  We use the functional renormalization group to analyze the temperature
dependence of the quasi-particle scattering rates in the two-dimensional
Hubbard model below half-filling. Using a band structure appropriate to
overdoped Tl2Ba2CuO(6+x) we find a strongly angle dependent term linearly
dependent on temperature which derives from an increasing scattering vertex as
the energy scale is lowered. This behavior agrees with recent experiments and
confirms earlier conclusions on the origin of the breakdown of the Landau Fermi
liquid near the onset of superconductivity.


title: Impurity effects in the quantum kagome system ZnCu3(OH)6Cl2

abstract:
  Motivated by the recent experiments on the new spin half Kagome compound
ZnCu3(OH)6Cl2, we study a phenomenological model of a frustrated quantum
magnet. The model has a spin liquid groundstate and is constructed so as to
mimic the macroscopically large quasi-degeneracies expected in the low-lying
energy structure of a Kagome system. We use numerical studies of finite size
systems to investigate the static as well as the dynamical response at finite
temperatures. The results obtained using our simple model are compatible with a
large number of recent experiments including neutron scattering data. Our study
suggests that many of the anomalous features observed in experiments have a
natural interpretation in terms of a spin-1/2 defects (impurities) coupled to
an underlying Kagome-type spin liquid.


title: S-pairing in neutron matter. I. Correlated Basis Function Theory

abstract:
  S-wave pairing in neutron matter is studied within an extension of correlated
basis function (CBF) theory to include the strong, short range spatial
correlations due to realistic nuclear forces and the pairing correlations of
the Bardeen, Cooper and Schrieffer (BCS) approach. The correlation operator
contains central as well as tensor components. The correlated BCS scheme of
Ref. [Nucl. Phys. A363 (1981) 383], developed for simple scalar correlations,
is generalized to this more realistic case. The energy of the correlated pair
condensed phase of neutron matter is evaluated at the two--body order of the
cluster expansion, but considering the one--body density and the corresponding
energy vertex corrections at the first order of the Power Series expansion.
Based on these approximations, we have derived a system of Euler equations for
the correlation factors and for the BCS amplitudes, resulting in correlated non
linear gap equations, formally close to the standard BCS ones. These equations
have been solved for the momentum independent part of several realistic
potentials (Reid, Argonne v_{14} and Argonne v_{8'}) to stress the role of the
tensor correlations and of the many--body effects. Simple Jastrow correlations
and/or the lack of the density corrections enhance the gap with respect to
uncorrelated BCS, whereas it is reduced according to the strength of the tensor
interaction and following the inclusion of many--body contributions.


title:
Quadratic corrections to the metaplectic formulation of resonant mode
  conversion

abstract:
  The effects of quadratic order terms in the dispersion matrix near a mode
conversion are considered. It is shown that including the corrections due to
these quadratic terms gives a better matching between the local solution in the
mode conversion region, and the far-field WKB solutions for the incoming and
outgoing waves. This matching is demonstrated by comparison of the asymptotic
solution with a numerical solution for a simple one-dimensional conversion.
This procedure for obtaining the corrections due to quadratic order terms can
be extended to arbitrary order and, in principle, an outline for performing
such an extension is given.


title: Counting numerical sets with no small atoms

abstract:
  A numerical set $S$ with Frobenius number $g$ is a set of integers with
$\min(S) = 0$ and $\max(\Zbb - S)=g$, and its atom monoid is $A(S) = \setpres{n
\in \Zbb}{$n+s \in S$ for all $s \in S$}$. Let $\gamma_g$ be the number of
numerical sets $S$ having $A(S) = \set{0} \cup (g,\infty)$ divided by the total
number of numerical sets with Frobenius number $g$. We show that the sequence
$\set{\gamma_g}$ is decreasing and converges to a number $\gamma_\infty \approx
.4844$ (with accuracy to within $.0050$). We also examine the singularities of
the generating function for $\set{\gamma_g}$. Parallel results are obtained for
the ratio $\gsymm{g}$ of the number of symmetric numerical sets $S$ with $A(S)
= \set{0} \cup (g,\infty)$ by the number of symmetric numerical sets with
Frobenius number $g$. These results yield information regarding the asymptotic
behavior of the number of finite additive 2-bases.


title: Effective log Iitaka fibrations for surfaces and threefolds

abstract:
  We prove an analogue of Fujino and Mori's ``bounding the denominators'' in
the log canonical bundle formula (see also Prokhorov and Shokurov) for Kawamata
log terminal pairs of relative dimension one. As an application we prove that
for a klt pair $(X,\Delta)$ of Kodaira codimension one and dimension at most
three such that the coefficients of $\Delta$ are in a DCC set $\mathcal{A}$,
there is a natural number $N$ that depends only on $\mathcal{A}$ for which the
round down of $\N(K_X+\Delta)$ induces the Iitaka fibration. We also prove a
birational boundedness result for klt surfaces of general type.


title:
Intrinsic and non-local Gilbert damping in polycrystalline nickel
  studied by Ti:Sapphire laser fs spectroscopy

abstract:
  The use of femtosecond laser pulses generated by a Ti:Sapphire laser system
allows us to gain an insight into the magnetization dynamics on time scales
from sub-picosecond up to 1 ns directly in the time domain. This experimental
technique is used to excite a polycrystalline nickel (Ni) film optically and
probe the dynamics afterwards. Different spin wave modes (the Kittel mode,
perpendicular standing spin-wave modes (PSSW) and dipolar spin-wave modes
(Damon-Eshbach modes)) are identified as the Ni thickness is increased. The
Kittel mode allows determination of the Gilbert damping parameter alpha
extracted from the magnetization relaxation time tau_alpha. The non-local
damping by spin currents emitted into a non-magnetic metallic layer of vanadium
(V), palladium (Pd) and the rare earth dysprosium (Dy) are studied for
wedge-shaped Ni films 1 nm-30 nm. The damping parameter increases from
alpha=0.045 intrinsic for nickel to alpha>0.10 for the heavy materials, such as
Pd and Dy, for the thinnest Ni films below 10 nm thickness. Also, for the
thinnest reference Ni film thickness, an increased magnetic damping below 4 nm
is observed. The origin of this increase is discussed within the framework of
line broadening by locally different precessional frequencies within the laser
spot region.


title: Optimal quantum state reconstruction for cold trapped ions

abstract:
  We study the physical implementation of an optimal tomographic reconstruction
scheme for the case of determining the state of a multi-qubit system, where
trapped ions are used for defining qubits. The protocol is based on the use of
mutually unbiased measurements and on the physical information described in H.
H\"{a}ffner \emph{et. al} [Nature \textbf{438}, 643-646 (2005)]. We introduce
the concept of physical complexity for different types of unbiased measurements
and analyze their generation in terms of one and two qubit gates for trapped
ions.


title: Riemannian manifolds with geometric structures

abstract:
  Some geometric structures with associated Riemannian metrics have been
considered in the book.


title: Imaging mechanical vibrations in suspended graphene sheets

abstract:
  We carried out measurements on nanoelectromechanical systems based on
multilayer graphene sheets suspended over trenches in silicon oxide. The motion
of the suspended sheets was electrostatically driven at resonance using applied
radio-frequency voltages. The mechanical vibrations were detected using a novel
form of scanning probe microscopy, which allowed identification and spatial
imaging of the shape of the mechanical eigenmodes. In as many as half the
resonators measured, we observed a new class of exotic nanoscale vibration
eigenmodes not predicted by the elastic beam theory, where the amplitude of
vibration is maximum at the free edges. By modeling the suspended sheets with
the finite element method, these edge eigenmodes are shown to be the result of
non-uniform stress with remarkably large magnitudes (up to 1.5 GPa). This
non-uniform stress, which arises from the way graphene is prepared by pressing
or rubbing bulk graphite against another surface, should be taken into account
in future studies on electronic and mechanical properties of graphene.


title:
Outflow and Infall in a Sample of Massive Star Forming Regions II: Large
  Scale Kinematics

abstract:
  We present maps of seven sources selected from Klaassen & Wilson (2007a) in
SiO (J=8-7) and HCO$^+$ and H$^{13}$CO$^+$ (J=4-3) which were obtained using
HARP-B on the James Clerk Maxwell Telescope. We find that four out of our seven
sources have infall signatures based on their HCO$^+$ emission profiles. From
our maps, we have determined the extent of both the outflowing and infalling
regions towards these sources, and constrained the amount of infalling and
outflowing mass as well as the mass infall rate for each massive star forming
region. From our SiO observations, we estimate the source luminosity required
to shock the surroundings of these massive star forming regions and find
luminosities similar to those of the HII regions themselves. We find that the
ratio between our infall and outflow masses is less than one, suggesting high
mass entrainment rates in the molecular outflows. We also find that the large
scale molecular infall rate towards G10.6-0.4 is comparable to the small scale
molecular infall rate found in previous studies.


title: Noncommutative Quantum Field Theory: A Confrontation of Symmetries

abstract:
  The concept of a noncommutative field is formulated based on the interplay
between twisted Poincar\'e symmetry and residual symmetry of the Lorentz group.
Various general dynamical results supporting this construction, such as the
light-wedge causality condition and the integrability condition for
Tomonaga-Schwinger equation, are presented. Based on this analysis, the claim
of the identity between commutative QFT and noncommutative QFT with twisted
Poincar\'e symmetry is refuted.


title:
On the Detectability of Lyman-alpha Emission in Star-forming Galaxies:
  The Role of Dust

abstract:
  Lyman-alpha is now widely used to investigate the galaxy formation and
evolution in the high redshift universe. However, without a rigorous
understanding of the processes which regulate the Lya escape fraction, physical
interpretations of high-z observations remain questionable. We examine six
nearby star-forming galaxies to disentangle the role of the dust from other
parameters such as gas kinematics, geometry and ISM morphology in the
obscuration of Ly-alpha. Thereby we aim to understand the Ly-a escape physics
and infer the implications for high-redshift studies. We use HST/ACS to produce
continuum-subtracted Lya maps, and ground-based observations (ESO/NTT and NOT)
to map the Halpha emission and the extinction E(B-V) in the gas phase derived
from the Balmer decrement Halpha/Hbeta. When large outflows are present, the
Lya emission appears not to correlate with the dust content, confirming the
role of the HI kinematics in the escape of Lya photons. In the case of a dense,
static HI covering, we observe a damped absorption with a declining
relationship between Lya and E(B-V). We found that the Lya escape fraction does
not exceed 10% in all our galaxies and is mostly about 3% or below. Finally,
because of the radiative transfer complexity of the Lya line, star formation
rate based on Lya luminosity is underestimated with respect to that derived
from UV luminosity. The failure of simple dust correction to recover the
intrinsic Lya/Ha ratio or the total star formation rate should prompt us to be
more cautious when interpreting high-z observations and related properties,
such as SFRs based on Lya alone. To this end we propose a more realistic
calibration for SFR(Lya) which accounts for dust attenuation and resonant
scattering effects via the Lya escape fraction.


title:
Discovery of OH in Circumstellar Disks Around Young Intermediate-Mass
  Stars

abstract:
  We detect emission from multiple low-excitation ro-vibrational transitions of
OH from the two Herbig Ae stars AB Aurigae and MWC 758 in the 3.0 - 3.7 micron
wavelength range (L-band), using the NIRSPEC instrument on Keck II. The inner
radius for the emitting region in both stars is close to 1 AU. We compare an
optically thin LTE model and a thin-wedge fluorescence model, finding
rotational temperatures of 650 - 800 K and OH abundances of 10^42 - 10^45
molecules for the two stars. Comparisons with current chemical models support
the fluorescence excitation model for AB Aurigae and possibly MWC 758, but
further observations and detailed modeling are necessary to improve constraints
on OH emission in different disk environments.


title: Ultradeep Near-Infrared Observations of GOODS 850-5

abstract:
  GOODS 850-5 is a hyperluminous radio-faint submillimeter source in the
GOODS-N. Although it is generally agreed that GOODS 850-5 is at a high redshift
z>~4, its exact redshift is unknown. While its stellar SED suggests z~6, its
radio/FIR SED suggests a lower redshift of z~4. To better constrain its stellar
SED and redshift, we carried out nano-Jansky sensitivity ultradeep NIR
observations between 1.2 and 2.1 um with the HST and the 8 m Subaru Telescope.
Even with such great depths we did not detect GOODS 850-5, and the results show
that it is an extremely curious source. Between the Ks and 3.6 um bands its
spectral slope is >3x that of an ERO, and the flux ratio between the two bands
is >8x that of Lyman breaks. It is quite challenging to explain this unusually
red color without a Lyman break (which would imply z>17). It requires a large
amount (M* ~ 10^11.5 Msun) of reddened old stars at z~6, coexisting with an
even more extinguished violent ~2400-4400 Msun/yr starburst, which does not
have any associated detectable rest-frame UV radiation. We discuss the
discrepancy between the NIR and radio/FIR photometric redshifts. We conclude
that GOODS 850-5 is at least at z>4 and is more likely at z>~6. We describe the
unusual properties of GOODS 850-5, including its SED and formation history, and
we discuss the implications of such massive z>6 galaxies.


title: The Evolution of Circumstellar Disks in Ophiuchus Binaries

abstract:
  Four Ophiuchus binaries, two Class I systems and two Class II systems, with
separations of ~450-1100 AU, were observed with the Owens Valley Radio
Observatory (OVRO) millimeter interferometer. In each system, the 3 mm
continuum maps show dust emission at the location of the primary star, but no
emission at the position of the secondary. This result is different from
observations of less evolved Class 0 binaries, in which dust emission is
detected from both sources. The nondetection of secondary disks is, however,
similar to the dust distribution seen in wide Class II Taurus binaries. The
combined OVRO results from the Ophiuchus and Taurus binaries suggest that
secondary disk masses are significantly lower than primary disk masses by the
Class II stage, with initial evidence that massive secondary disks are reduced
by the Class I stage. Although some of the secondaries retain hot inner disk
material, the early dissipation of massive outer disks may negatively impact
planet formation around secondary stars. Masses for the circumprimary disks are
within the range of masses measured for disks around single T Tauri stars and,
in some cases, larger than the minimum mass solar nebula. More massive primary
disks are predicted by several formation models and are broadly consistent with
the observations. Combining the 3 mm data with previous 1.3 mm observations,
the dust opacity power-law index for each primary disk is estimated. The
opacity index values are all less than the scaling for interstellar dust,
possibly indicating grain growth within the circumprimary disks.


title:
The Scope of the 4 tau Channel in Higgs-strahlung and Vector Boson
  Fusion for the NMSSM No-Lose Theorem at the LHC

abstract:
  We study the potential of the h_1 -> a_1 a_1 -> 4 tau signal from the
lightest scalar (h_1) and pseudoscalar (a_1) Higgs bosons to cover the
parameter space of the Next-to-Minimal Supersymmetric Standard Model (NMSSM) at
the Large Hadron Collider (LHC). We exploit a 2 mu + 2 jets signature from four
taus decays (accompanied by missing transverse energy), resorting to both
Higgs-strahlung (HS), by triggering on leptonic W^\pm decays, and Vector Boson
Fusion (VBF), by triggering on two same sign non-isolated muons.


title: 5D fuzzball geometries and 4D polar states

abstract:
  We analyze the map between a class of `fuzzball' solutions in five dimensions
and four-dimensional multicentered solutions under the 4D-5D connection, and
interpret the resulting configurations in the framework of Denef and Moore. In
five dimensions, we consider Kaluza-Klein monopole supertubes with circular
profile which represent microstates of a small black ring. The resulting
four-dimensional configurations are, in a suitable duality frame, polar states
consisting of stacks of D6 and anti-D6 branes with flux. We argue that these
four-dimensional configurations represent zero-entropy constituents of a
2-centered configuration where one of the centers is a small black hole. We
also discuss how spectral flow transformations in five dimensions, leading to
configurations with momentum, give rise to four-dimensional D6 anti-D6 polar
configurations with different flux distributions at the centers.


title: Lepton flavour violating processes in an S_3-symmetric model

abstract:
  A variety of lepton flavour violating effects related to the recent discovery
of neutrino oscillations and mixings is here systematically discussed in terms
of an S_3-flavour permutational symmetry. After presenting some relevant
results on lepton masses and mixings, previously derived in a minimal
S_3-invariant extension of the Standard Model, we compute the branching ratios
of some selected flavour-changing neutral current processes (FCNC) as well as
the contribution of the exchange of neutral flavour-changing scalar to the
anomaly of the magnetic moment of the muon. We found that the minimal
S_3-invariant extension of the Standard Model describes successfully masses and
mixings, as well as, all flavour changing neutral current processes in
excellent agreement with experiment.


title:
Probabilistic study of the speed of approach to equilibrium for an
  inelastic Kac model

abstract:
  This paper deals with a one--dimensional model for granular materials, which
boils down to an inelastic version of the Kac kinetic equation, with
inelasticity parameter $p>0$. In particular, the paper provides bounds for
certain distances -- such as specific weighted $\chi$--distances and the
Kolmogorov distance -- between the solution of that equation and the limit. It
is assumed that the even part of the initial datum (which determines the
asymptotic properties of the solution) belongs to the domain of normal
attraction of a symmetric stable distribution with characteristic exponent
$\a=2/(1+p)$. With such initial data, it turns out that the limit exists and is
just the aforementioned stable distribution. A necessary condition for the
relaxation to equilibrium is also proved. Some bounds are obtained without
introducing any extra--condition. Sharper bounds, of an exponential type, are
exhibited in the presence of additional assumptions concerning either the
behaviour, near to the origin, of the initial characteristic function, or the
behaviour, at infinity, of the initial probability distribution function.


title: A Lattice Model for Colloidal Gels and Glasses

abstract:
  We study a lattice model of attractive colloids. It is exactly solvable on
sparse random graphs. As the pressure and temperature are varied it reproduces
many characteristic phenomena of liquids, glasses and colloidal systems such as
ideal gel formation, liquid-glass phase coexistence, jamming, or the reentrance
of the glass transition.


title: Energy distribution and cooling of a single atom in an optical tweezer

abstract:
  We investigate experimentally the energy distribution of a single rubidium
atom trapped in a strongly focused dipole trap under various cooling regimes.
Using two different methods to measure the mean energy of the atom, we show
that the energy distribution of the radiatively cooled atom is close to
thermal. We then demonstrate how to reduce the energy of the single atom, first
by adiabatic cooling, and then by truncating the Boltzmann distribution of the
single atom. This provides a non-deterministic way to prepare atoms at low
microKelvin temperatures, close to the ground state of the trapping potential.


title: The covariant entropy bound and loop quantum cosmology

abstract:
  We examine Bousso's covariant entropy bound conjecture in the context of
radiation filled, spatially flat, Friedmann-Robertson-Walker models. The bound
is violated near the big bang. However, the hope has been that quantum gravity
effects would intervene and protect it. Loop quantum cosmology provides a near
ideal setting for investigating this issue. For, on the one hand, quantum
geometry effects resolve the singularity and, on the other hand, the wave
function is sharply peaked at a quantum corrected but smooth geometry which can
supply the structure needed to test the bound. We find that the bound is
respected. We suggest that the bound need not be an essential ingredient for a
quantum gravity theory but may emerge from it under suitable circumstances.