title:
Quantum measurement and quantum gravity : many-worlds or collapse of the
  wave-function?

abstract:
  At present, there are two possible, and equally plausible, explanations for
the physics of quantum measurement. The first explanation, known as the
many-worlds interpretation, does not require any modification of quantum
mechanics, and asserts that at the time of measurement the Universe splits into
many branches, one branch for every possible alternative. The various branches
do not interfere with each other because of decoherence, thus providing a
picture broadly consistent with the observed Universe. The second explanation,
which requires quantum mechanics to be modified from its presently known form,
is that at the time of measurement the wave-function collapses into one of the
possible alternatives. The two explanations are mutually exclusive, and up
until now, no theoretical reasoning has been put forward to choose one
explanation over the other. In this article, we provide an argument which
implies that the collapse interpretation is favored over the many-worlds
interpretation. Our starting point is the assertion (which we justify) that
there ought to exist a reformulation of quantum mechanics which does not refer
to a classical spacetime manifold. The need for such a reformulation implies
that quantum theory becomes non-linear on the Planck mass/energy scale.
Standard linear quantum mechanics is an approximation to this non-linear
theory, valid at energy scales much smaller than the Planck scale. Using ideas
based on noncommutative differential geometry, we develop such a reformulation
and derive a non-linear Schr\"{o}dinger equation, which can explain collapse of
the wave-function. We also obtain an expression for the lifetime of a quantum
superposition. We suggest ideas for an experimental test of this model.


title:
Finding rational points on elliptic curves using 6-descent and
  12-descent

abstract:
  We explain how recent work on 3-descent and 4-descent for elliptic curves
over Q can be combined to search for generators of the Mordell-Weil group of
large height. As an application we show that every elliptic curve of prime
conductor in the Stein-Watkins database has rank at least as large as predicted
by the conjecture of Birch and Swinnerton-Dyer.


title: The Critical Properties of Two-dimensional Oscillator Arrays

abstract:
  We present a renormalization group study of two dimensional arrays of
oscillators, with dissipative, short range interactions. We consider the case
of non-identical oscillators, with distributed intrinsic frequencies within the
array and study the steady-state properties of the system. In two dimensions no
macroscopic mutual entrainment is found but, for identical oscillators,
critical behavior of the Berezinskii-Kosterlitz-Thouless type is shown to be
present. We then discuss the stability of (BKT) order in the physical case of
distributed quenched random frequencies. In order to do that, we show how the
steady-state dynamical properties of the two dimensional array of non-identical
oscillators are related to the equilibrium properties of the XY model with
quenched randomness, that has been already studied in the past. We propose a
novel set of recursion relations to study this system within the Migdal
Kadanoff renormalization group scheme, by mean of the discrete clock-state
formulation. We compute the phase diagram in the presence of random dissipative
coupling, at finite values of the clock state parameter. Possible experimental
applications in two dimensional arrays of microelectromechanical oscillators
are briefly suggested.


title: Superconformal invariance from N=2 supersymmetry Ward identities

abstract:
  We algebraically prove the cancellation of the beta function at all order of
perturbation theory of N=2 supersymmetric gauge theories with a vanishing
one-loop beta function. The proof generalises that recently given for the N=4
case. It uses the consistent Slavnov-Taylor identities of the shadow dependent
formulation. We also demonstrate the cancellation at all orders of the
anomalous dimensions of vector and hypermultiplet one half BPS operators.


title:
Flattening of Single-Particle Spectra in Strongly Correlated Electron
  Systems and the Violation of the Wiedemann-Franz Law

abstract:
  The renormalization of the Wiedemann-Franz (WF) ratio in strongly correlated
electron systems is analyzed within the Landau quasiparticle picture. We
demonstrate that the WF law is violated: (i) at the quantum critical point,
where the effective mass diverges, and (ii) beyond a point of fermion
condensation, where the single-particle spectrum $\epsilon(p)$ becomes flat.
Results of the analysis are compared with available experimental data.


title: Graphs of 2-torus actions

abstract:
  It has been known that an effective smooth $({\Bbb Z}_2)^k$-action on a
smooth connected closed manifold $M^n$ fixing a finite set can be associated to
a $({\Bbb Z}_2)^k$-colored regular graph. In this paper, we consider abstract
graphs $(\Gamma,\alpha)$ of $({\Bbb Z}_2)^k$-actions, called abstract
1-skeletons. We study when an abstract 1-skeleton is a colored graph of some
$({\Bbb Z}_2)^k$-action. We also study the existence of faces of an abstract
1-skeleton (note that faces often have certain geometric meanings if an
abstract 1-skeleton is a colored graph of some $({\Bbb Z}_2)^k$-action).


title:
The role of the Fox-Wright functions in fractional sub-diffusion of
  distributed order

abstract:
  The fundamental solution of the fractional diffusion equation of distributed
order in time (usually adopted for modelling sub-diffusion processes) is
obtained based on its Mellin-Barnes integral representation. Such solution is
proved to be related via a Laplace-type integral to the Fox-Wright functions. A
series expansion is also provided in order to point out the distribution of
time-scales related to the distribution of the fractional orders. The results
of the time fractional diffusion equation of a single order are also recalled
and then re-obtained from the general theory.

categories: math-ph cond-mat.stat-mech math.CV math.MP


title: Outburst of the 2 s Anomalous X-ray Pulsar 1E 1547.0-5408

abstract:
  Following our discovery of radio pulsations from the newly recognized
Anomalous X-ray Pulsar (AXP) 1E 1547.0-5408, we initiated X-ray monitoring with
the Swift X-ray Telescope, and obtained a single target-of-opportunity
observation with the Newton X-ray Multi-Mirror Mission (XMM-Newton). In
comparison with its historic minimum flux of 3e-13 ergs cm^-2 s^-1, the source
was found to be in a record high state, f_X(1-8 keV) = 5e-12 ergs cm^-2 s^-1,
or L_X = 1.7e35(d/9 kpc)^2 ergs s^-1, and declining by 25% in 1 month.
Extrapolating the decay, we bound the total energy in this outburst to 1e42 < E
< 1e43 ergs. The spectra (fitted with a Comptonized blackbody) show that an
increase in the temperature and area of a hot region, to 0.5 keV and ~16% of
the surface area of the neutron star, respectively, are primarily responsible
for its increase in luminosity. The energy, spectrum, and timescale of decay
are consistent with a deep crustal heating event, similar to an interpretation
of the X-ray turn-on of the transient AXP XTE J1810-197. Simultaneous with the
4.6 hour XMM-Newton observation, we observed at 6.4 GHz with the Parkes
telescope, measuring the phase relationship of the radio and X-ray pulse. The
X-ray pulsed fraction of 1E 1547.0-5408 is only ~7%, while its radio pulse is
relatively broad for such a slow pulsar, which may indicate a nearly aligned
rotator. As also inferred from the transient behavior of XTE J1810-197, the
only other AXP known to emit in the radio, the magnetic field rearrangement
responsible for this X-ray outburst of 1E 1547.0-5408 is probably the cause of
its radio turn-on.


title: Bouncing cosmology from Kalb-Ramond Braneworld

abstract:
  We consider a 3-brane embedded in a warped 5-dimensional background with a
dilaton and a Kalb-Ramond 2-form. We show that it is possible to find static
solutions of the form of charged dS/AdS-like black hole with horizon which
could have a negative mass parameter. The motion of the 3-brane in this bulk
generates an effective 4-dimensional bouncing cosmology induced by the negative
dark radiation term. This model avoids the instability that arises for bouncing
brane in a Reissner-Nordstr{\o}m-AdS bulk.


title:
Lelong-Skoda transform for compact Kaehler manifolds and
  self-intersection inequalities

abstract:
  Let $X$ be a compact Kaehler manifold of dimension $k$ and $T$ be a positive
closed current on $X$ of bidimension $(p,p)$ ($1\leq p < k-1$). We construct a
continuous linear transform $\mathcal{L}_p(T)$ of $T$ which is a positive
closed current on $X$ of bidimension $(k-1,k-1)$ which has the same Lelong
numbers as $T$. We deduce from that construction self-intersection inequalities
for positive closed currents of any bidegree.


title:
Carbon abundances of early B-type stars in the solar vicinity. Non-LTE
  line-formation for C II/III/IV and self-consistent atmospheric parameters

abstract:
  Precise determinations of the chemical composition in early B-type stars
consitute fundamental observational constraints on stellar and galactochemical
evolution. Carbon is one of the most abundant metals in the Universe but
analyses in early-type stars show inconclusive results, like large
discrepancies between analyses of different lines in C II, a failure to
establish the C II/III ionization balance and the derivation of systematically
lower abundances than from other objects. We present a comprehensive and robust
C II/III/IV model for non-LTE line-formation calculations based on carefully
selected atomic data. The model is calibrated with high-S/N spectra of six
apparently slow-rotating early B-type dwarfs and giants, which cover a wide
parameter range and are randomly distributed in the solar neighbourhood. A
self-consistent quantitative spectrum analysis is performed using an extensive
iteration scheme to determine stellar atmospheric parameters and to select the
appropriate atomic data used for the derivation of chemical abundances. We
establish the carbon ionization balance for all sample stars based on a unique
set of input atomic data, achieving consistency for all modelled lines. Highly
accurate atmospheric parameters and a homogeneous carbon abundance with reduced
systematic errors are derived. This results in a present-day stellar carbon
abundance in the solar neighbourhood, which is in good agreement with recent
determinations of the solar value and with the gas-phase abundance of the Orion
H II region. The homogeneous present-day carbon abundance also conforms with
predictions of chemical-evolution models for the Galaxy. The present approach
allows us to constrain the effects of systematic errors on fundamental
parameters and abundances. (abridged)


title:
The Lindelof Hypothesis for almost all Hurwitz's Zeta-Functions holds
  True

abstract:
  By Probability theory, that is, by a kind of quasi-law of the iterated
logarithm, we prove the title claim.


title: Unprovability results involving braids

abstract:
  We construct long sequences of braids that are descending with respect to the
standard order of braids (``Dehornoy order''), and we deduce that, contrary to
all usual algebraic properties of braids, certain simple combinatorial
statements involving the braid order are true, but not provable in the
subsystems ISigma1 or ISigma2 of the standard Peano system.


title:
Suppl\'eance perceptive par \'electro-stimulation linguale embarqu\'ee :
  perspectives pour la pr\'evention des escarres chez le bless\'e m\'edullaire

abstract:
  We introduce the innovative technologies, based on the concept of "sensory
substitution", we are developing in the fields of biomedical engineering and
human disability. Precisely, our goal is to design, develop and validate
practical assistive biomedical and/or technical devices and/or rehabilitating
procedures for persons with disabilities, using artificial tongue-placed
tactile biofeedback systems. This paper proposes an application for pressure
sores prevention in case of spinal cord injuries (persons with paraplegia, or
tetraplegia).


title:
Free Brownian motion and evolution towards boxplus-infinite divisibility
  for k-tuples

abstract:
  Let D be the space of non-commutative distributions of k-tuples of
selfadjoints in a C*-probability space (for a fixed k). We introduce a
semigroup of transformations B_t of D, such that every distribution in D
evolves under the B_t towards infinite divisibility with respect to free
additive convolution. The very good properties of B_t come from some special
connections that we put into evidence between free additive convolution and the
operation of Boolean convolution.
  On the other hand we put into evidence a relation between the transformations
B_t and free Brownian motion. More precisely, we introduce a transformation Phi
of D which converts the free Brownian motion started at an arbitrary
distribution m in D into the process B_t (Phi(m)), t>0.


title: Direct Detection of Cold Dark Matter

abstract:
  We know from cosmological and astrophysical observations that more than 80%
of the matter density in the Universe is non-luminous, or dark. This
non-baryonic dark matter could be composed of neutral, heavy particles, which
were non-relativistic, or 'cold', when they decoupled from ordinary matter. I
will review the direct detection methods of these hypothetical particles via
their interactions with nuclei in ultra-low background, deep underground
experiments. The emphasis is on most recent results and on the status of near
future projects.


title: Kinematic alpha effect in isotropic turbulence simulations

abstract:
  Using numerical simulations at moderate magnetic Reynolds numbers up to 220
it is shown that in the kinematic regime, isotropic helical turbulence leads to
an alpha effect and a turbulent diffusivity whose values are independent of the
magnetic Reynolds number, $\Rm$, provided $\Rm$ exceeds unity. These turbulent
coefficients are also consistent with expectations from the first order
smoothing approximation. For small values of $\Rm$, alpha and turbulent
diffusivity are proportional to $\Rm$. Over finite time intervals meaningful
values of alpha and turbulent diffusivity can be obtained even when there is
small-scale dynamo action that produces strong magnetic fluctuations. This
suggests that small-scale dynamo-generated fields do not make a correlated
contribution to the mean electromotive force.


title:
Restoration of the magnetic hc/e-periodicity in unconventional
  superconductors

abstract:
  We consider the energy of the filled quasiparticle's Fermi sea of a
macroscopic superconducting ring threaded by an hc/2e-vortex, when the material
of the ring is of an unconventional pairing symmetry. The energy relative to
the one for the hc/e-vortex configuration is finite, positive, and inversely
proportional to ring's inner radius. We argue that the existence of this energy
in unconventional superconductors removes the commonly assumed degeneracy
between the odd and the even vortices, with the loss of the concomitant hc/2e
periodicity in external magnetic field as a consequence. This macroscopic
quantum effect should be observable in nanosized unconventional superconductors
with a small phase stiffness, such as deeply underdoped YBCO with Tc < 5K.


title: Dark Matter Halos: Velocity Anisotropy -- Density Slope Relation

abstract:
  Dark matter (DM) halos formed in CDM cosmologies seem to be characterized by
a power law phase-space density profile. The density of the DM halos is often
fitted by the NFW profile but a better fit is provided by the Sersic fitting
formula. These relations are empirically derived from cosmological simulations
of structure formation but have not yet been explained on a first principle
basis. Here we solve the Jeans equation under the assumption of a spherical DM
halo in dynamical equilibrium, that obeys a power law phase space density and
either the NFW-like or the Sersic density profile. We then calculate the
velocity anisotropy, beta(r), analytically. Our main result is that for the
NFW-like profile the beta - gamma relation is not a linear one (where gamma is
the logarithmic derivative of the density rho[r]). The shape of beta(r) depends
mostly on the ratio of the gravitational to kinetic energy within the NFW scale
radius R_s. For the Sersic profile a linear beta - gamma relation is recovered,
and in particular for the Sersic index of n = 6.0 case the linear fit of Hansen
& Moore is reproduced. Our main result is that the phase-space density power
law, the Sersic density form and the linear beta - gamma dependence constitute
a consistent set of relations which obey the spherical Jeans equation and as
such provide the framework for the dynamical modeling of DM halos.


title:
Interaction-induced star formation in a complete sample of 10^5 nearby
  star-forming galaxies

abstract:
  We investigate the clustering properties of a complete sample of 10^5
star-forming galaxies drawn from the SDSS DR4. On scales less than 100 kpc, the
amplitude of the correlation function exhibits a strong dependence on the
specific star formation rate of the galaxy. We interpret this as the signature
of enhanced star formation induced by tidal interactions. We then explore how
the average star formation rate in a galaxy is enhanced as the projected
separation r_p between the galaxy and its companions decreases. We find that
the enhancement depends strongly on r_p, but very weakly on the relative
luminosity of the companions. The enhancement is also stronger in low mass
galaxies than in high mass galaxies. In order to explore whether a tidal
interaction is not only sufficient, but also necessary to trigger enhanced star
formation in a galaxy, we compute background subtracted neighbour counts for
the galaxies in our sample. The average number of close neighbours around
galaxies with low to average values of SFR/M* is close to zero. At the highest
specific star formation rates, however, more than 40% of the galaxies in our
sample have a companion within a projected radius of 100 kpc. Visual inspection
of the highest SFR/M* galaxies without companions reveals that more than 50% of
these are clear interacting or merging systems. We conclude that tidal
interactions are the dominant trigger of enhanced star formation in the most
strongly star-forming systems. Finally, we find clear evidence that tidal
interactions not only lead to enhanced star formation in galaxies, but also
cause structural changes such as an increase in concentration.


title:
A Large Sky Simulation of the Gravitational Lensing of the Cosmic
  Microwave Background

abstract:
  Large scale structure deflects cosmic microwave background (CMB) photons.
Since large angular scales in the large scale structure contribute
significantly to the gravitational lensing effect, a realistic simulation of
CMB lensing requires a sufficiently large sky area. We describe simulations
that include these effects, and present both effective and multiple plane
ray-tracing versions of the algorithm, which employs spherical harmonic space
and does not use the flat sky approximation. We simulate lensed CMB maps with
an angular resolution of ~0.9 arcmin. The angular power spectrum of the
simulated sky agrees well with analytical predictions. Maps generated in this
manner are a useful tool for the analysis and interpretation of upcoming CMB
experiments such as PLANCK and ACT.


title: Bernstein-Sato polynomials in positive characteristic

abstract:
  In characteristic zero, the Bernstein-Sato polynomial of a hypersurface can
be described as the minimal polynomial of the action of an Euler operator on a
suitable D-module. We consider the analogous D-module in positive
characteristic, and use it to define a sequence of Bernstein-Sato polynomials
(corresponding to the fact that we need to consider also divided powers Euler
operators). We show that the information contained in these polynomials is
equivalent to that given by the F-jumping exponents of the hypersurface, in the
sense of Hara and Yoshida.


title: Horizontal Symmetry

abstract: The relation between fermion mixing and horizontal symmetry is discussed.


title: Minimum instances of topological matter in an optical plaquette

abstract:
  We propose experimental schemes to create and probe minimum forms of
different topologically ordered states in a plaquette of an optical lattice:
Resonating Valence Bond, Laughlin and string-net condensed states. We show how
to create anyonic excitations on top of these liquids and detect their
fractional statistics. In addition, we propose a way to design a plaquette
ring-exchange interaction, the building block Hamiltonian of a lattice
topological theory. Our preparation and detection schemes combine different
techniques already demonstrated in experiments with atoms in optical
superlattices.


title: A PDE for the multi-time joint probability of the Airy process

abstract:
  This paper gives a PDE for multi-time joint probability of the Airy process,
which generalizes Adler and van Moerbeke's result on the 2-time case. As an
intermediate step, the PDE for the multi-time joint probability of the Dyson
Brownian motion is also given.


title: Spin entanglement, decoherence and Bohm's EPR paradox

abstract:
  We obtain criteria for entanglement and the EPR paradox for spin-entangled
particles and analyse the effects of decoherence caused by absorption and state
purity errors. For a two qubit photonic state, entanglement can occur for all
transmission efficiencies. In this case, the state preparation purity must be
above a threshold value. However, Bohm's spin EPR paradox can be achieved only
above a critical level of loss. We calculate a required efficiency of 58%,
which appears achievable with current quantum optical technologies. For a
macroscopic number of particles prepared in a correlated state, spin
entanglement and the EPR paradox can be demonstrated using our criteria for
efficiencies {\eta} > 1/3 and {\eta} > 2/3 respectively. This indicates a
surprising insensitivity to loss decoherence, in a macroscopic system of
ultra-cold atoms or photons.


title:
Descent constructions for central extensions of infinite dimensional Lie
  algebras

abstract:
  We use Galois descent to construct central extensions of twisted forms of
split simple Lie algebras over rings. These types of algebras arise naturally
in the construction of Extended Affine Lie Algebras. The construction also
gives information about the structure of the group of automorphisms of such
algebras.


title:
Echo Emission From Dust Scattering and X-Ray Afterglows of Gamma-Ray
  Bursts

abstract:
  We investigate the effect of X-ray echo emission in gamma-ray bursts (GRBs).
We find that the echo emission can provide an alternative way of understanding
X-ray shallow decays and jet breaks. In particular, a shallow decay followed by
a "normal" decay and a further rapid decay of X-ray afterglows can be together
explained as being due to the echo from prompt X-ray emission scattered by dust
grains in a massive wind bubble around a GRB progenitor. We also introduce an
extra temporal break in the X-ray echo emission. By fitting the afterglow light
curves, we can measure the locations of the massive wind bubbles, which will
bring us closer to finding the mass loss rate, wind velocity, and the age of
the progenitors prior to the GRB explosions.


title:
May 12 1997 Cme Event: I. a Simplified Model of the Pre-Eruptive
  Magnetic Structure

abstract:
  A simple model of the coronal magnetic field prior to the CME eruption on May
12 1997 is developed. First, the magnetic field is constructed by superimposing
a large-scale background field and a localized bipolar field to model the
active region (AR) in the current-free approximation. Second, this potential
configuration is quasi-statically sheared by photospheric vortex motions
applied to two flux concentrations of the AR. Third, the resulting force-free
field is then evolved by canceling the photospheric magnetic flux with the help
of an appropriate tangential electric field applied to the central part of the
AR.
  To understand the structure of the modeled configuration, we use the field
line mapping technique by generalizing it to spherical geometry. It is
demonstrated that the initial potential configuration contains a hyperbolic
flux tube (HFT) which is a union of two intersecting quasi-separatrix layers.
This HFT provides a partition of the closed magnetic flux between the AR and
the global solar magnetic field. The vortex motions applied to the AR interlock
the field lines in the coronal volume to form additionally two new HFTs pinched
into thin current layers. Reconnection in these current layers helps to
redistribute the magnetic flux and current within the AR in the
flux-cancellation phase. In this phase, a magnetic flux rope is formed together
with a bald patch separatrix surface wrapping around the rope. Other important
implications of the identified structural features of the modeled configuration
are also discussed.


title:
N_pN_n dependence of empirical formula for the lowest excitation energy
  of the 2^+ states in even-even nuclei

abstract:
  We examine the effects of the additional term of the type $\sim e^{- \lambda'
N_pN_n}$ on the recently proposed empirical formula for the lowest excitation
energy of the $2^+$ states in even-even nuclei. This study is motivated by the
fact that this term carries the favorable dependence of the valence nucleon
numbers dictated by the $N_pN_n$ scheme. We show explicitly that there is not
any improvement in reproducing $E_x(2_1^+)$ by including the extra $N_pN_n$
term. However, our study also reveals that the excitation energies
$E_x(2_1^+)$, when calculated by the $N_pN_n$ term alone (with the mass number
$A$ dependent term), are quite comparable to those calculated by the original
empirical formula.


title: A Note on Chern-Simons Solitons - a type III vortex from the wall vortex

abstract:
  We study some properties of topological Chern-Simons vortices in 2 + 1
dimensions. As has already been understood in the past, in the large magnetic
flux limit, they are well described by a Chern-Simons domain wall, which has
been compactified on a circle with the symmetric phase inside and the
asymmetric phase on the outside. Our goal is two-fold. First we want to explore
how the tension depends on the magnetic flux discretized by the integer n. The
BPS case is already known, but not much has been explored about the non-BPS
potentials. A generic renormalizable potential has two dimensionless parameters
that can be varied. Variation of only one of them lead to a type I and type II
vortex, very similar to the Abrikosov-Nielsen-Olesen (ANO) case. Variation of
both the parameters leads to a much richer structure. In particular we have
found a new type of vortex, which is type I-like for small flux and then turns
type II-like for larger flux. We could tentatively denote it a type III vortex.
This results in a stable vortex with number of fluxes which can be greater than
one. Our second objective is to study the Maxwell-Chern-Simons theory and and
understand how the large n limit of the CS vortex is smoothly connected with
the large n limit of the ANO vortex.


title: Sheep Collisions: the Good, the Bad, and the TBI

abstract:
  The title page of Chapter 9 in Fundamentals of Physics (Halliday, Resnick,
and Walker, 8th Edition, p. 201) shows a dramatic photograph of two Big Horn
sheep butting heads and promises to explain how sheep survive such violent
clashes without serious injury. However, the answer presented in sample problem
9-4 (p. 213) errs in presuming an interaction time of 0.27 s which results in
an unrealistically long stopping distance of 0.62 m. Furthermore, the assertion
that the horns provide necessary cushioning of the blow is inconsistent with
the absence of concussions in domestic breeds of hornless sheep. Results from
traumatic brain injury (TBI) research allow acceleration tolerance of sheep to
be estimated as 450 g facilitating an analysis of sheep collisions that is more
consistent with available observations (stopping distance less than 1 cm,
impact time of roughly 2 ms).


title: The corona and upper transition region of epsilon Eridani

abstract:
  We present analyses of observations of epsilon Eridani (K2 V) made with the
Low Energy Transmission Grating Spectrometer on Chandra and the Extreme
Ultraviolet Explorer, supplemented by observations made with the Space
Telescope Imaging Spectrograph, the Far Ultraviolet Spectroscopic Explorer and
the Reflection Grating Spectrometer on XMM-Newton. The observed emission lines
are used to find relative element abundances, to place limits on the electron
densities and pressures and to determine the mean apparent emission measure
distribution. As in the previous paper by Sim & Jordan (2003a), the mean
emitting area as a function of the electron temperature is derived by
comparisons with a theoretical emission measure distribution found from energy
balance arguments. The final model has a coronal temperature of 3.4 x 10^6 K,
an electron pressure of 1.3 x 10^16 cm^-3 K at T_e = 2 x 10^5 K and an area
filling factor of 0.14 at 3.2 x 10^5 K. We discuss a number of issues
concerning the atomic data currently available. Our analyses are based mainly
on the latest version of CHIANTI (v5.2). We conclude that the Ne/O relative
abundance is 0.30, larger than that recommended from solar studies, and that
there is no convincing evidence for enhanced coronal abundances of elements
with low first ionization potentials.


title:
Geometric Intersection Number and analogues of the Curve Complex for
  free groups

abstract:
  For the free group $F_{N}$ of finite rank $N \geq 2$ we construct a canonical
Bonahon-type continuous and $Out(F_N)$-invariant \emph{geometric intersection
form} \[ <, >: \bar{cv}(F_N)\times Curr(F_N)\to \mathbb R_{\ge 0}. \]
  Here $\bar{cv}(F_N)$ is the closure of unprojectivized Culler-Vogtmann's
Outer space $cv(F_N)$ in the equivariant Gromov-Hausdorff convergence topology
(or, equivalently, in the length function topology). It is known that
$\bar{cv}(F_N)$ consists of all \emph{very small} minimal isometric actions of
$F_N$ on $\mathbb R$-trees. The projectivization of $\bar{cv}(F_N)$ provides a
free group analogue of Thurston's compactification of the Teichm\"uller space.
  As an application, using the \emph{intersection graph} determined by the
intersection form, we show that several natural analogues of the curve complex
in the free group context have infinite diameter.


title: Stability of liquid ridges on chemical micro- and nanostripes

abstract:
  We analyze the stability of sessile filaments (ridges) of nonvolatile liquids
versus pearling in the case of externally driven flow along a chemical stripe
within the framework of the thin film approximation. The ridges can be stable
with respect to pearling even if the contact line is not completely pinned. A
generalized stability criterion for moving contact lines is provided. For large
wavelengths and no drive, within perturbation theory, an analytical expression
of the growth rate of pearling instabilities is derived. A numerical analysis
shows that drive further stabilizes the ridge by reducing the growth rate of
unstable perturbations, even though there is no complete stabilization. Hence
the stability criteria established without drive ensure overall stability.


title: Hyperfinite graph limits

abstract:
  G\'abor Elek introduced the notion of a hyperfinite graph family: a
collection of graphs is hypefinite if for every $\epsilon>0$ there is some
finite $k$ such that each graph $G$ in the collection can be broken into
connected components of size at most $k$ by removing a set of edges of size at
most $\epsilon|V(G)|$. We presently extend this notion to a certain
compactification of finite bounded-degree graphs, and show that if a sequence
of finite graphs converges to a hyperfinite limit, then the sequence itself is
hyperfinite.


title: Dynamical Constraints on the Local Group from the CMB and 2MRS Dipoles

abstract:
  We place constraints on the dynamics of the Local Group (LG) by comparing the
dipole of the Cosmic Microwave Background (CMB) with the peculiar velocity
induced by the 2MRS galaxy sample. The analysis is limited by the lack of
surveyed galaxies behind the Zone of Avoidance (ZoA). We therefore allow for a
component of the LG velocity due to unknown mass concentrations behind the ZoA,
as well as for an unknown transverse velocity of the Milky Way relative to the
Andromeda galaxy. We infer extra motion along the direction of the Galactic
center (where Galactic confusion and dust obscuration peaks) at the 95%
significance level. With a future survey of the ZoA it might be possible to
constrain the transverse velocity of the Milky Way relative to Andromeda.


title: On a stabilized warped brane world without Planck brane

abstract:
  We discuss a stabilized brane world model with two branes, admitting the
solution to the hierarchy problem due to the warped extra dimension and
possessing a remarkable feature: the strength of gravitational interaction is
of the same order on both branes, contrary to the case of the Randall-Sundrum
model with a hierarchical difference of gravitational strength on the branes.
The solution also admits the existence of two branes with an equal strength of
gravitational interaction, which is of interest for treating the matter on the
"mirror" brane as dark matter.


title:
A small cosmological constant from the modified Brans-Dicke theory - an
  interplay between different energy scales

abstract:
  In this paper we discuss a model in which the energy density, corresponding
to the effective cosmological constant, after the $SU(2)\times U(1)$ symmetry
breaking appears to be of the desired order of $10^{-48}\div 10^{-47} GeV^{4}$.
The model contain two different energy scales, one of which is associated with
the Higgs's vacuum expectation value. Another scale is of the order of
$10^{21}GeV$ and defines the vacuum expectation value of the Brans-Dicke scalar
field, non-minimally coupled to gravity, and sets the value of the Planck mass.
Other (dimensionless) parameters are assumed not to contain hierarchical
differences. The model is devoid of any fine-tuning and gives a small value of
the effective cosmological constant even if the real "bare" cosmological
constant is quite large.


title: Regulatory control and the costs and benefits of biochemical noise

abstract:
  Experiments in recent years have vividly demonstrated that gene expression
can be highly stochastic. How protein concentration fluctuations affect the
growth rate of a population of cells, is, however, a wide open question. We
present a mathematical model that makes it possible to quantify the effect of
protein concentration fluctuations on the growth rate of a population of
genetically identical cells. The model predicts that the population's growth
rate depends on how the growth rate of a single cell varies with protein
concentration, the variance of the protein concentration fluctuations, and the
correlation time of these fluctuations. The model also predicts that when the
average concentration of a protein is close to the value that maximizes the
growth rate, fluctuations in its concentration always reduce the growth rate.
However, when the average protein concentration deviates sufficiently from the
optimal level, fluctuations can enhance the growth rate of the population, even
when the growth rate of a cell depends linearly on the protein concentration.
The model also shows that the ensemble or population average of a quantity,
such as the average protein expression level or its variance, is in general not
equal to its time average as obtained from tracing a single cell and its
descendants. We apply our model to perform a cost-benefit analysis of gene
regulatory control. Our analysis predicts that the optimal expression level of
a gene regulatory protein is determined by the trade-off between the cost of
synthesizing the regulatory protein and the benefit of minimizing the
fluctuations in the expression of its target gene. We discuss possible
experiments that could test our predictions.


title: What can we learn from the decay of $ N_X(1625)$ in molecule picture?

abstract:
  Considering two molecular state assumptions, i.e. S-wave $\bar{\Lambda}-K^-$
and S-wave $\bar{\Sigma}^0-K^-$ molecular states, we study the possible decays
of $\bar N_X(1625)$ that include $\bar N_X(1625)\to K^{-}\bar{\Lambda},
\pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$. Our results indicate: (1) if
$\bar N_{X}(1625)$ is $\bar{\Lambda}-K^-$ molecular state, $K^{-}\bar{\Lambda}$
is the main decay modes of $\bar N_{X}(1625)$, and the branching ratios of the
rest decay modes are tiny; (2) if $\bar N_{X}(1625)$ is $\bar{\Sigma}^0-K^-$
molecular state, the branching ratio of $\bar N_{X}(1625)\to
K^{-}\bar{\Lambda}$ is one or two order smaller than that of $\bar
N_{X}(1625)\to \pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$. Thus the search
for $\bar N_X(1625)\to \pi^{0}\bar{p}, \eta\bar{p}, \pi^{-}\bar{n}$ will be
helpful to shed light on the nature of $\bar N_X(1625)$.


title:
Least Squares Fitting of Low-Level Gamma-ray Spectra with B-Spline Basis
  Functions

abstract:
  In this paper, new methods for smoothing gamma-ray spectra measured by NaI
detector are derived. Least squares fitting method with B-spline basis
functions is used to reduce the influence of statistical fluctuations. The
derived procedures are simple and automatic. The results show that this method
is better than traditional method with a more complete reduction of staistical
fluctuation.


title: Optimisation of sample thickness for THz-TDS measurements

abstract:
  How thick should the sample be for a transmission THz-TDS measurement? Should
the sample be as thick as possible? The answer is `no'. Although more thickness
allows T-rays to interact more with bulk material, SNR rolls off with thickness
due to signal attenuation. Then, should the sample be extremely thin? Again,
the answer is `no'. A sample that is too thin renders itself nearly invisible
to T-rays, in such a way that the system can hardly sense the difference
between the sample and a free space path. So, where is the optimal boundary
between `too thick' and `too thin'? The trade-off is analysed and revealed in
this paper, where our approach is to find the optimal thickness that results in
the minimal variance of measured optical constants.


title: Standard supersymmetry from a Planck-scale statistical theory

abstract:
  We outline three new ideas in a program to obtain standard physics, including
standard supersymmetry, from a Planck-scale statistical theory: (1) The initial
spin 1/2 bosonic fields are transformed to spin 0 fields together with their
auxiliary fields. (2) Time is defined by the progression of 3-geometries, just
as originally proposed by DeWitt. (3) The initial (D-1)-dimensional "path
integral" is converted from Euclidean to Lorentzian form by transformation of
the fields in the integrand.


title: Determination of Charm Hadronic Branching Fractions at CLEO-c

abstract:
  Recent results from CLEO-c on measurements of absolute hadronic branching
fractions of D0, D+, and Ds+ mesons are presented.


title: Quenched CLT for random toral automorphism

abstract:
  We establish a quenched Central Limit Theorem (CLT) for a smooth observable
of random sequences of iterated linear hyperbolic maps on the torus. To this
end we also obtain an annealed CLT for the same system. We show that, almost
surely, the variance of the quenched system is the same as for the annealed
system. Our technique is the study of the transfer operator on an anisotropic
Banach space specifically tailored to use the cone condition satisfied by the
maps.


title:
A spectroscopic study of southern (candidate) gamma Doradus stars. II.
  Detailed abundance analysis and fundamental parameters

abstract:
  The gamma Doradus stars are a recent class of variable main sequence F-type
stars located on the red edge of the Cepheid instability strip. They pulsate in
gravity modes, and this makes them particularly interesting for detailed
asteroseismic analysis, which can provide fundamental knowledge of properties
near the convective cores of intermediate-mass main sequence stars. To improve
current understanding of gamma Dor stars through theoretical modelling,
additional constraints are needed. Our aim is to estimate the fundamental
atmospheric parameters and determine the chemical composition of these stars.
Detailed analyses of single stars have previously suggested links to Am and
lambda Bootis stars, so we wish to explore this interesting connection between
chemical peculiarity and pulsation. We have analysed a sample of gamma Dor
stars for the first time, including nine bona fide and three candidate members
of the class. We determined the fundamental atmospheric parameters and compared
the abundance pattern with other A-type stars. We used the semi-automatic
software package VWA for the analysis. This code relies on the calculation of
synthetic spectra and thus takes line-blending into account. This is important
because of the fast rotation in some of the sample stars, and we made a
thorough analysis of how VWA performs when increasing vsini. We obtained good
results in agreement with previously derived fundamental parameters and
abundances in a few selected reference stars with properties similar to the
gamma Dor stars. We find that the abundance pattern in the gamma Dor stars is
not distinct from the constant A- and F-type stars we analysed.


title: Codimensions of Newton Strata for SL_3 in the Iwahori Case

abstract:
  We study the Newton stratification on SL_3(F), where F is a Laurent power
series field. We provide a formula for the codimensions of the Newton strata
inside each component of the affine Bruhat decomposition on SL_3(F). These
calculations are related to the study of certain affine Deligne-Lusztig
varieties. In particular, we describe a method for determining which of these
varieties is non-empty in the case of SL_3(F).


title:
Unique ergodicity of circle and interval exchange transformations with
  flips

abstract:
  We study the existence of transitive exchange maps with flips defined on the
unit circle. We provide a complete answer to the question of whether there
exists a transitive exchange map of the unit circle defined on n subintervals
and having f flips.


title: Einstein-aether gravity: theory and observational constraints

abstract:
  Einstein-aether theory is general relativity coupled to a dynamical unit
timelike vector field. A brief review of current theoretical understanding and
observational constraints on the four coupling parameters of the theory is
given.


title: The double Subgiant Branch of NGC 1851: the role of the CNO abundance

abstract:
  We explore the possibility that the anomalous split in the Subgiant branch of
the galactic globular cluster NGC 1851 is due to the presence of two distinct
stellar populations with very different initial metal mixtures: a normal
alpha-enhanced component, and one characterized by strong anticorrelations
among the CNONa abundances, with a total CNO abundance increased by a factor of
two. We test this hypothesis taking into account various empirical constraints,
and conclude that the two populations should be approximately coeval, with the
same initial He-content. More high-resolution spectroscopical measurements of
heavy elements -- and in particular of the CNO sum -- for this cluster are
necessary to prove (or disprove) this scenario.


title:
The impact of main belt asteroids on infrared--submillimetre photometry
  and source counts

abstract:
  <<>> Among the components of the infrared and submillimetre sky background,
the closest layer is the thermal emission of dust particles and minor bodies in
the Solar System. This contribution is especially important for current and
future infrared and submillimetre space instruments --like those of Spitzer,
Akari and Herschel -- and must be characterised by a reliable statistical
model. <<>> We describe the impact of the thermal emission of main belt
asteroids on the 5...1000um photometry and source counts, for the current and
future spaceborne and ground-based instruments, in general, as well as for
specific dates and sky positions. <<>> We used the statistical asteroid model
(SAM) to calculate the positions of main belt asteroids down to a size of 1km,
and calculated their infrared and submillimetre brightness using the standard
thermal model. Fluctuation powers, confusion noise values and number counts
were derived from the fluxes of individual asteroids. <<>> We have constructed
a large database of infrared and submillimetre fluxes for SAM asteroids with a
temporal resolution of 5 days, covering the time span January 1, 2000 --
December 31, 2012. Asteroid fluctuation powers and number counts derived from
this database can be obtained for a specific observation setup via our public
web-interface. <<>> Current space instruments working in the mid-infrared
regime (Akari and Spitzer Space Telescopes) are affected by asteroid confusion
noise in some specific areas of the sky, while the photometry of space infrared
and submillimetre instruments in the near future (e.g. Herschel and Planck
Space Observatories) will not be affected by asteroids. Faint main belt
asteroids might also be responsible for most of the zodiacal emission
fluctuations near the ecliptic.


title:
Effects of a classical homogeneous gravitational field on the
  cavity-field entropy and generation of the Schrodinger-cat states in the
  Jaynes-Cummings model

abstract:
  In this paper, we examine the effects of the gravitational field on the
dynamical evolution of the cavity-field entropy and the creation of the
Schrodinger-cat state in the Jaynes-Cummings model. We consider a moving
two-level atom interacting with a single mode quantized cavity-field in the
presence of a classical homogeneous gravitational field. Based on an su(2)
algebra, as the dynamical symmetry group of the model, we derive the reduced
density operator of the cavity-field which includes the effects of the atomic
motion and the gravitational field. Also, we obtain the exact solution and the
approximate solution for the system-state vector, and examine the atomic
dynamics. By considering the temporal evolution of the cavity-field entropy as
well as the dynamics of the Q-function of the cavity-field we study the effects
of the gravitational field on the generation of the Schrodinger-cat states of
the cavity-field by using the Q-function, field entropy and approximate
solution for the system-state vector. The results show that the gravitational
field destroys the generation of the Schrodinger-cat state of the cavity-field.


title:
Bose-Fermi Kondo model with Ising anisotropy: cluster-Monte Carlo
  approach

abstract:
  The Bose-Fermi Kondo model captures the physics of the destruction of Kondo
screening, which is of extensive current interest to the understanding of
quantum critical heavy fermion metals. There are presently limited theoretical
methods to study the finite temperature properties of the Bose-Fermi Kondo
model. Here we provide some of the consistency checks on the cluster-Monte
Carlo method, which we have recently applied to the Ising-anisotropic
Bose-Fermi Kondo model. We show that the method correctly captures the scaling
properties of the Kondo phase, as well as those on approach to the
Kondo-destroying quantum critical point. We establish that comparable results
are obtained when the Kondo couplings are placed at or away from a Toulouse
point.


title:
Monochromatic and heterochromatic subgraph problems in a randomly
  colored graph

abstract:
  Let $K_n$ be the complete graph with $n$ vertices and $c_1, c_2, ..., c_r$ be
$r$ different colors. Suppose we randomly and uniformly color the edges of
$K_n$ in $c_1, c_2, ..., c_r$. Then we get a random graph, denoted by
$\mathcal{K}_n^r$. In the paper, we investigate the asymptotic properties of
several kinds of monochromatic and heterochromatic subgraphs in
$\mathcal{K}_n^r$. Accurate threshold functions in some cases are also
obtained.


title: Symplectically hyperbolic manifolds

abstract:
  A symplectic form is called hyperbolic if its pull-back to the universal
cover is a differential of a bounded one-form. The present paper is concerned
with the properties and constructions of manifolds admitting hyperbolic
symplectic forms. The main results are:
  * If a symplectic form represents a bounded cohomology class then it is
hyperbolic.
  * The symplectic hyperbolicity is equivalent to a certain isoperimetric
inequality.
  * The fundamental group of symplectically hyperbolic manifold is
non-amenable.
  We also construct hyperbolic symplectic forms on certain bundles and
Lefschetz fibrations, discuss the dependenc of the symplectic hyperbolicity on
the fundamental group and discuss some properties of the group of symplectic
diffeomorphisms of a symplectically hyperbolic manifold.


title: The Scalar Glueball in the Instanton Vacuum

abstract:
  We study the contribution of instantons to the binding and the mass of the
lightest scalar glueball, in gluondynamics. We show that the short-range
correlations introduced by such non-perturbative vacuum fluctuations are
sufficient to give raise to a scalar glueball bound-state, with mass in good
agreement with the results of recent lattice calculations.


title: Optimized Folding Simulations of Protein A

abstract:
  We describe optimized parallel tempering simulations of the 46-residue
B-fragment of protein A. Native-like configurations with a root-mean-square
deviation of approximately 3A to the experimentally determined structure
(Protein Data Bank identifier 1BDD) are found. However, at biologically
relevant temperatures such conformations appear with only about 10% frequency
in our simulations. Possible short comings in our energy function are
discussed.


title: Generation of macroscopic superposition states in ring superlattices

abstract:
  Ultracold bosons in rotating ring lattices have previously been shown to form
macroscopic superpositions of different quasi-momentum states. We demonstrate
that the generation of such kind of states using slightly non-uniform ring
lattices has several advantages: the energy gap decreases less severely with
the number of particles, the sensitivity to detunings from the critical
rotation frequency is reduced, and the scheme is not limited to commensurate
filling. We show that different quasi-momentum states can be distinguished in
time-of-flight absorption imaging and propose to probe correlations via the
many-body oscillations induced by a sudden change in the rotation frequency.


title:
Interpr\'etation de l'Arithm\'etique dans certains groupes de
  permutations affines par morceaux d'un intervalle

abstract:
  The Arithmetic is interpreted in all the groups of Richard Thompson and
Graham Higman, as well as in other groups of piecewise affine permutations of
an interval which generalize the groups of Thompson and Higman. In particular,
the elementary theories of all these groups are undecidable. Moreover,
Thompson's group $F$ and some of its generalizations interpret the Arithmetic
without parameters.


title:
Perfect fluid quantum Universe in the presence of negative cosmological
  constant

abstract:
  We present perfect fluid Friedmann-Robertson-Walker quantum cosmological
models in the presence of negative cosmological constant. In this work the
Schutz's variational formalism is applied for radiation, dust, cosmic string,
and domain wall dominated Universes with positive, negative, and zero constant
spatial curvature. In this approach the notion of time can be recovered. These
give rise to Wheeler-DeWitt equations for the scale factor. We find their
igenvalues and eigenfunctions by using Spectral Method. After that, we use the
eigenfunctions in order to construct wave packets for each case and evaluate
the time-dependent expectation value of the scale factors, which are found to
oscillate between finite maximum and minimum values. Since the expectation
values of the scale factors never tends to the singular point, we have an
initial indication that these models may not have singularities at the quantum
level.


title: On the Analytic Wavelet Transform

abstract:
  An exact and general expression for the analytic wavelet transform of a
real-valued signal is constructed, resolving the time-dependent effects of
non-negligible amplitude and frequency modulation. The analytic signal is first
locally represented as a modulated oscillation, demodulated by its own
instantaneous frequency, and then Taylor-expanded at each point in time. The
terms in this expansion, called the instantaneous modulation functions, are
time-varying functions which quantify, at increasingly higher orders, the local
departures of the signal from a uniform sinusoidal oscillation. Closed-form
expressions for these functions are found in terms of Bell polynomials and
derivatives of the signal's instantaneous frequency and bandwidth. The analytic
wavelet transform is shown to depend upon the interaction between the signal's
instantaneous modulation functions and frequency-domain derivatives of the
wavelet, inducing a hierarchy of departures of the transform away from a
perfect representation of the signal. The form of these deviation terms
suggests a set of conditions for matching the wavelet properties to suit the
variability of the signal, in which case our expressions simplify considerably.
One may then quantify the time-varying bias associated with signal estimation
via wavelet ridge analysis, and choose wavelets to minimize this bias.


title: Einsteinian Manifolds and Gravitational Waves

abstract:
  The full relativity of the concepts of motion and rest, which is
characteristic of the Einsteinian general relativity (GR), does not allow the
generation of physical gravitational waves (GW's). -- The undulatory nature of
a metric tensor is not an invariant property, but depends on the coordinate
frame. -- An undulation of a metric tensor is propagated with a speed that can
have any value between zero and infinite.


title:
Refinement of Ado's Theorem in Low Dimensions and Application in Affine
  Geometr

abstract:
  In this paper, we construct a faithful representation with the lowest
dimension for every complex Lie algebra in dimension $\leq 4$. In particular,
in our construction, in the case that the faithful representation has the same
dimension of the Lie algebra, it can induce an \'etale affine representation
with base zero which has a natural and simple form and gives a compatible
left-symmetric algebra on the Lie algebra. Such affine representations do not
contain any nontrivial one-parameter subgroups of translation.


title: Coevolution of Mercy and Altruistic Cooperation

abstract:
  Besides altruistic punishment and group selection, we argue that, mercy can
lead to altruistic cooperation. Modeling the micro economic behavior of the
mercy, with two alleles of genes (Cooperation or Defection & Mercy or No mercy)
agents in a network, we present the computational simulation results in the
spatiotemporal evolution game theory frame to prove the above argument. Here,
mercy (or as 'Love thy neighbors') means, the agents, with mercy preference,
might share his own fitness with his poorest neighbor who poorer than himself.


title: The \Delta contribution to the parity-violating nucleon-nucleon force

abstract:
  Because the nucleon may be excited and transformed into a virtual $\Delta$
resonance easily, we consider the decuplet contribution to the parity-violating
(PV) nucleon-nucleon interaction in the chiral effective field theory. The
effective PV nucleon-nucleon potential is derived without introducing any
unknown coupling constants.


title: The Stochastic Green Function (SGF) algorithm

abstract:
  We present the Stochastic Green Function (SGF) algorithm designed for bosons
on lattices. This new quantum Monte Carlo algorithm is independent of the
dimension of the system, works in continuous imaginary time, and is exact (no
error beyond statistical errors). Hamiltonians with several species of bosons
(and one-dimensional Bose-Fermi Hamiltonians) can be easily simulated. Some
important features of the algorithm are that it works in the canonical ensemble
and gives access to n-body Green functions.


title: Eigenvalue Correlations in Continuum one-dimensional Anderson Models

abstract:
  The methods used to prove the main result must be incorrect, as they can be
used to arrive at a contradiction with previously known results. Thus the paper
was withdrawn.


title:
On the Induction Operation for Shift Subspaces and Cellular Automata as
  Presentations of Dynamical Systems

abstract:
  We consider continuous, translation-commuting transformations of compact,
translation-invariant families of mappingsfrom finitely generated groups into
finite alphabets. It is well-known that such transformations and spaces can be
described "locally" via families of patterns and finitary functions; such
descriptions can be re-used on groups larger than the original, usually
defining non-isomorphic structures. We show how some of the properties of the
"induced" entities can be deduced from those of the original ones, and vice
versa; then, we show how to "simulate" the smaller structure into the larger
one, and obtain a characterization in terms of group actions for the dynamical
systems admitting of presentations via structures as such. Special attention is
given to the class of sofic shifts.


title: Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip

abstract:
  We consider a 2D Schroedinger operator H0 with constant magnetic field, on a
strip of finite width. The spectrum of H0 is absolutely continuous, and
contains a discrete set of thresholds. We perturb H0 by an electric potential V
which decays in a suitable sense at infinity, and study the spectral properties
of the perturbed operator H = H0 + V . First, we establish a Mourre estimate,
and as a corollary prove that the singular continuous spectrum of H is empty,
and any compact subset of the complement of the threshold set may contain at
most a finite set of eigenvalues of H, each of them having a finite
multiplicity. Next, we introduce the Krein spectral shift function (SSF) for
the operator pair (H,H0). We show that this SSF is bounded on any compact
subset of the complement of the threshold set, and is continuous away from the
threshold set and the eigenvalues of H. The main results of the article concern
the asymptotic behaviour of the SSF at the thresholds, which is described in
terms of the SSF for a pair of effective Hamiltonians.


title: SFT-inspired Algebraic Structures in Gauge Theories

abstract:
  We consider gauge theories in a String Field Theory-inspired formalism. The
constructed algebraic operations lead in particular to homotopy algebras of the
related BV theories. We discuss invariant description of the gauge fixing
procedure and special algebraic features of gauge theories coupled to matter
fields.


title:
Spatially Resolved Molecular Hydrogen Emission in the Inner 200AU
  Environments of Classical T Tauri Stars

abstract:
  We present 2.0-2.4micron integral field spectroscopy at adaptive optics
spatial resolution (~0.''1) obtained with the Near-infrared Integral Field
Spectrograph (NIFS) at Gemini North Observatory of six Classical T Tauri stars:
T Tau, DG Tau, XZ Tau, HL Tau, RW Aur and HV Tau C. In all cases, the v=1-0
S(1) (2.12 micron) emission is detected at spatially extended distances from
the central stars. The bulk of the H_2 emission is typically not spatially
coincident with the location of continuum flux. Multiple transitions detected
in the K-band spectra show that H_2 level populations are typical of gas in
thermal equilibrium with excitation temperatures in the 1800K-2300 K range.
Three of the stars have H_2 velocity profiles that are centered at the stellar
radial velocity, and three show velocity shifts with respect to the system.
Each of the stars studied here show observed excitation temperatures, spatial
extents, and kinematics of the H_2 that are most consistent with shock excited
emission from the inner regions of the known Herbig-Haro energy flows or from
wide-angle winds encompassing the outflows rather than predominantly from UV or
X-ray stimulated emission from the central stars. The data presented in this
study highlights the sensitivity of adaptive optics-fed integral field
spectroscopy for spatially resolving emission line structures in the
environments of bright young stars.


title: Differential graded versus Simplicial categories

abstract:
  We construct a zig-zag of Quillen adjunctions between the homotopy theories
of differential graded and simplicial categories. In an intermediate step we
generalize Shipley-Schwede's work on connective DG algebras by extending the
Dold-Kan correspondence to a Quillen equivalence between categories enriched
over positive graded chain complexes and simplicial k-modules.
  As an application we obtain a conceptual explanation of Simpson's homotopy
fiber construction.


title: Similarity Renormalization Group for Few-Body Systems

abstract:
  Internucleon interactions evolved via flow equations yield soft potentials
that lead to rapid variational convergence in few-body systems.


title: Virtual Hadronic and Leptonic Contributions to Bhabha Scattering

abstract:
  Using dispersion relations, we derive the complete virtual QED contributions
to Bhabha scattering due to vacuum polarization effects in photon propagation.
We apply our result to hadronic corrections and to heavy lepton and top quark
loop insertions. We give the first complete estimate of their net numerical
effects for both small and large angle scattering at typical beam energies of
meson factories, LEP, and the ILC. The effects turn out to be smaller, in most
cases, than those corresponding to electron loop insertions, but stay, with
amounts of typically one per mille, of relevance for precision experiments.
Hadronic corrections themselves are typically about 2-3 times larger than those
of intermediate muon pairs (the largest heavy leptonic terms).


title: Geometric properties of two-dimensional coarsening with weak disorder

abstract:
  The domain morphology of weakly disordered ferromagnets, quenched from the
high-temperature phase to the low-temperature phase, is studied using numerical
simulations. We find that the geometrical properties of the coarsening domain
structure, e.g., the distributions of hull enclosed areas and domain perimeter
lengths, are described by a scaling phenomenology in which the growing domain
scale R(t) is the only relevant parameter. Furthermore, the scaling functions
have forms identical to those of the corresponding pure system, extending the
'super-universality' property previously noted for the pair correlation
function.


title: Relation of Orbital Integrals on SO(5) and PGL(2)

abstract:
  We relate the "Fourier" orbital integrals of corresponding spherical
functions on the p-adic groups SO(5) and PGL(2). The correspondence is defined
by a "lifting" of representations of these groups. This is a local "fundamental
lemma" needed to compare the geometric sides of the global Fourier summation
formulae (or relative trace formulae) on these two groups. This comparison
leads to conclusions about a well known lifting of representations from PGL(2)
to PGSp(4). This lifting produces counter examples to the Ramanujan conjecture.


title:
Electromagnetic Field Induced Modification of Branching Ratios for
  Emission in Structured Vacuum

abstract:
  We report a fundamental effect of the electromagnetic field induced
modification of the branching ratios for emission into several final states.
The modifications are especially significant if the vacuum into which the atom
is radiating has a finite spectral width comparable with the separation of the
final states. This is easily realizable in cavity QED. Further our results are
quite generic and are applicable to any system interacting with a structured
reservoir.


title: The curvature homogeneity bound for Lorentzian four-manifolds

abstract:
  We prove that a four-dimensional Lorentzian manifold that is curvature
homogeneous of order 3, or CH_3 for short, is necessarily locally homogeneous.
We also exhibit and classify four-dimensional Lorentzian, CH_2 manifolds that
are not homogeneous. The resulting metrics belong to the class of null
electromagnetic radiation, type N solutions on an anti-de Sitter background.
These findings prove that the four-dimensional Lorentzian Singer number
$k_{1,3}=3$, falsifying some recent conjectures by Gilkey. We also prove that
invariant classification for these proper CH_2 solutions requires
$\nabla^{(7)}R$, and that these are the unique metrics requiring the seventh
order.


title:
The structure of the allelic partition of the total population for
  Galton-Watson processes with neutral mutations

abstract:
  We consider a (sub) critical Galton-Watson process with neutral mutations
(infinite alleles model), and decompose the entire population into clusters of
individuals carrying the same allele. We specify the law of this allelic
partition in terms of the distribution of the number of clone-children and the
number of mutant-children of a typical individual. The approach combines an
extension of Harris representation of Galton-Watson processes and a version of
the ballot theorem. Some limit theorems related to the distribution of the
allelic partition are also given.


title:
Supercontinua for high resolution absorption multiplex infrared
  spectroscopy

abstract:
  Supercontinua generated in highly non-linear fibers by ultrashort-pulse
lasers can be used for high resolution Fourier transform absorption
spectroscopy. The practical advantages of these bright ultrabroadband light
sources for spectroscopy are reported in the near-infrared region. A Cr^4+:YAG
femtosecond laser broadened by an extruded soft-glass photonic crystal fiber,
emitting from 1200 to 2200 nm and from 675 to 950 nm, provides a spectral
radiance being 1x10^5 times higher than that of a 3000 K blackbody and 10^2
times higher than that of a synchrotron radiation. The C_2H_2 and NH_3 overtone
spectra are recorded using this source within a few seconds.


title:
A Simultaneous Solution to the ^6Li and ^7Li Big Bang Nucleosynthesis
  Problems from a Long-Lived Negatively-Charged Leptonic Particle

abstract:
  The $^6$Li abundance observed in metal poor halo stars exhibits a plateau
similar to that for $^7$Li suggesting a primordial origin. However, the
observed abundance of $^6$Li is a factor of $10^3$ larger and that of $^7$Li is
a factor of 3 lower than the abundances predicted in the standard big bang when
the baryon-to-photon ratio is fixed by WMAP. Here we show that both of these
abundance anomalies can be explained by the existence of a long-lived massive,
negatively-charged leptonic particle during nucleosynthesis. Such particles
would capture onto the synthesized nuclei thereby reducing the reaction Coulomb
barriers and opening new transfer reaction possibilities, and catalyzing a
second round of big bang nucleosynthesis. This novel solution to both of the Li
problems can be achieved with or without the additional effects of stellar
destruction.


title:
Concentration-modulation FT emission spectroscopy of TiCl_4/He plasma.
  Analysis of the C ^4\Delta- X ^4 \Phi \Delta v=0 perturbed transitions of
  TiCl

abstract:
  A TiCl_4/He plasma is observed by high resolution double-modulation FTS using
concentration-modulation as a selective detection method. Analysis of the C
^4\Delta- X ^4 \Phi \Delta v=0 transitions of ^48Ti^35Cl reveals perturbations
affecting the C ^4\Delta_{1/2} sub-state.


title: Forward estimation for ergodic time series

abstract:
  The forward estimation problem for stationary and ergodic time series
$\{X_n\}_{n=0}^{\infty}$ taking values from a finite alphabet ${\cal X}$ is to
estimate the probability that $X_{n+1}=x$ based on the observations $X_i$,
$0\le i\le n$ without prior knowledge of the distribution of the process
$\{X_n\}$. We present a simple procedure $g_n$ which is evaluated on the data
segment $(X_0,...,X_n)$ and for which, ${\rm error}(n) = |g_{n}(x)-P(X_{n+1}=x
|X_0,...,X_n)|\to 0$ almost surely for a subclass of all stationary and ergodic
time series, while for the full class the Cesaro average of the error tends to
zero almost surely and moreover, the error tends to zero in probability.


title: Periodic Chandrasekhar recursions

abstract:
  This paper extends the Chandrasekhar-type recursions due to Morf, Sidhu, and
Kailath "Some new algorithms for recursive estimation in constant, linear,
discrete-time systems, IEEE Trans. Autom. Control 19 (1974) 315-323" to the
case of periodic time-varying state-space models. We show that the S-lagged
increments of the one-step prediction error covariance satisfy certain
recursions from which we derive some algorithms for linear least squares
estimation for periodic state-space models. The proposed recursions may have
potential computational advantages over the Kalman Filter and, in particular,
the periodic Riccati difference equation.


title: The X^- Solution to the ^6Li and ^7Li Big Bang Nucleosynthesis Problems

abstract:
  The $^6$Li abundance observed in metal poor halo stars appears to exhibit a
plateau as a function of metallicity similar to that for $^7$Li, suggesting a
big bang origin. However, the inferred primordial abundance of $^6$Li is
$\sim$1000 times larger than that predicted by standard big bang
nucleosynthesis for the baryon-to-photon ratio inferred from the WMAP data.
Also, the inferred $^7$Li primordial abundance is 3 times smaller than the big
bang prediction. We here describe in detail a possible simultaneous solution to
both the problems of underproduction of $^6$Li and overproduction of $^7$Li in
big bang nucleosynthesis. This solution involves a hypothetical massive,
negatively-charged leptonic particle that would bind to the light nuclei
produced in big bang nucleosynthesis, but would decay long before it could be
detected. We consider only the $X$-nuclear reactions and assume that the effect
of decay products is negligible, as would be the case if lifetime were large or
the mass difference between the charged particle and its daughter were small.
An interesting feature of this paradigm is that, because the particle remains
bound to the existing nuclei after the cessation of the usual big bang nuclear
reactions, a second longer epoch of nucleosynthesis can occur among $X$-nuclei.
We confirm that reactions in which the hypothetical particle is transferred can
occur that greatly enhance the production of $^6$Li while depleting $^7$Li. We
also identify a new reaction that destroys large amounts of $^7$Be, and hence
reduces the ultimate $^7$Li abundance. Thus, big-bang nucleosynthesis in the
presence of these hypothetical particles, together with or without an event of
stellar processing, can simultaneously solve the two Li abundance problems.


title:
Convergence and stability of locally \mathbb{R}^{N}-invariant solutions
  of Ricci flow

abstract:
  Important models for immortal solutions of Ricci flow that collapse with
bounded curvature come from locally G-invariant solutions on principal bundles,
where G is a nilpotent Lie group. In this paper, we establish convergence and
asymptotic stability, modulo smooth finite-dimensional center manifolds, of
certain R^{N}-invariant solutions. When the dimension of the total space is
three, these results are relevant to work of Lott classifying the asymptotic
behavior of all 3-dimensional Ricci flow solutions whose sectional curvatures
and diameters are respectively O(t^{-1}) and O(t^{1/2}).


title: K\"allen-Lehman Representation and the Gluon Propagator

abstract:
  We exploit the Kallen-Lehman representation of the two-point Green function
to prove that the gluon propagator cannot go to zero in the infrared limit. We
are able to derive also the functional form of it. This means that current
results on the lattice can be used to derive the scalar glueball spectrum to be
compared both with experiments and different aimed lattice computations.


title: Approximation Algorithms for Restless Bandit Problems

abstract:
  The restless bandit problem is one of the most well-studied generalizations
of the celebrated stochastic multi-armed bandit problem in decision theory. In
its ultimate generality, the restless bandit problem is known to be PSPACE-Hard
to approximate to any non-trivial factor, and little progress has been made
despite its importance in modeling activity allocation under uncertainty.
  We consider a special case that we call Feedback MAB, where the reward
obtained by playing each of n independent arms varies according to an
underlying on/off Markov process whose exact state is only revealed when the
arm is played. The goal is to design a policy for playing the arms in order to
maximize the infinite horizon time average expected reward. This problem is
also an instance of a Partially Observable Markov Decision Process (POMDP), and
is widely studied in wireless scheduling and unmanned aerial vehicle (UAV)
routing. Unlike the stochastic MAB problem, the Feedback MAB problem does not
admit to greedy index-based optimal policies.
  We develop a novel and general duality-based algorithmic technique that
yields a surprisingly simple and intuitive 2+epsilon-approximate greedy policy
to this problem. We then define a general sub-class of restless bandit problems
that we term Monotone bandits, for which our policy is a 2-approximation. Our
technique is robust enough to handle generalizations of these problems to
incorporate various side-constraints such as blocking plays and switching
costs. This technique is also of independent interest for other restless bandit
problems. By presenting the first (and efficient) O(1) approximations for
non-trivial instances of restless bandits as well as of POMDPs, our work
initiates the study of approximation algorithms in both these contexts.


title: Supersymmetric QFT, Super Loop Spaces and Bismut-Chern Character

abstract:
  In this paper, we give a quantum interpretation of the Bismut-Chern character
form (the loop space lifting of the Chern character form) as well as the Chern
character form associated to a complex vector bundle with connection over a
smooth manifold in the framework of supersymmetric quantum field theories
developed by Stolz and Teichner \cite{ST07}. We show that the Bismut-Chern
character form comes up via a loop-deloop process when one goes from $1|1$D
theory over a manifold down to a $0|1$D theory over its free loop space. Based
on our quantum interpretation of the Bismut-Chern character form and Chern
character form, we construct Chern character type maps for SUSY QFTs.


title: Computing Hilbert modular forms over fields with nontrivial class group

abstract:
  In previous work, the first author developed an algorithm for the computation
of Hilbert modular forms. In this paper, we extend this to all totally real
number fields of even degree and nontrivial class group. Using the algorithm
over $\Q(\sqrt{10})$ and $\Q(\sqrt{85})$ and their Hilbert class fields, we
present some new instances of the conjectural Eichler-Shimura construction for
totally real fields, and in particular find new examples of modular abelian
varieties with everywhere good reduction.


title: Difference fields and descent in algebraic dynamics - I

abstract:
  We draw a connection between the model-theoretic notions of modularity (or
one-basedness), orthogonality and internality, as applied to difference fields,
and questions of descent in in algebraic dynamics. In particular we prove in
any dimension a strong dynamical version of Northcott's theorem for function
fields, answering a question of Szpiro and Tucker and generalizing a theorem of
Baker's for the projective line.
  The paper comes in three parts. This first part contains an exposition some
of the main results of the model theory of difference fields, and their
immediate connection to questions of descent in algebraic dynamics. We present
the model-theoretic notion of internality in a context that does not require a
universal domain with quantifier-elimination. We also note a version of
canonical heights that applies well beyond polarized algebraic dynamics. Part
II sharpens the structure theory to arbitrary base fields and constructible
maps where in part I we emphasize finite base change and correspondences. Part
III will include precise structure theorems related to the Galois theory
considered here, and will enable a sharpening of the descent results for
non-modular dynamics.


title: Difference fields and descent in algebraic dynamics, II

abstract:
  This second part of the paper strengthens the descent theory described in the
first part to rational maps, arbitrary base fields, and dynamics given by
correspondences. We obtain in particular a decomposition of any difference
field extension into a tower of finite, field-internal and one-based difference
field extensions. This is needed in order to obtain the "dynamical Northcott"
Theorem 1.11 of Part I in sharp form.


title: Integrated Optical Approach to Trapped Ion Quantum Computation

abstract:
  Recent experimental progress in quantum information processing with trapped
ions have demonstrated most of the fundamental elements required to realize a
scalable quantum computer. The next set of challenges lie in realization of a
large number of qubits and the means to prepare, manipulate and measure them,
leading to error-protected qubits and fault tolerant architectures. The
integration of qubits necessarily require integrated optical approach as most
of these operations involve interaction with photons. In this paper, we discuss
integrated optics technologies and concrete optical designs needed for the
physical realization of scalable quantum computer.


title:
A Family of Likelihood Ascent Search Multiuser Detectors: Approach to
  Single-User Performance via Quasi-Large Random Sequence CDMA

abstract:
  Since Tse and Verdu proved that the global maximum likelihood (GML) detector
achieves unit asymptotic multiuser efficiency (AME) in the limit of large
random spreading (LRS) CDMA, no suboptimal detector has been found to achieve
unit AME. In this letter, we obtain that the WSLAS detector with a linear
per-bit complexity achieves unit AME in the LRS-CDMA with a channel load < 1/2
- 1/(4ln2) bits/s/Hz. For a practical system with any user number, a quasi
LRS-CDMA is then proposed to approach the single-user performance in the high
SNR regime.


title:
A comparison of spectral element and finite difference methods using
  statically refined nonconforming grids for the MHD island coalescence
  instability problem

abstract:
  A recently developed spectral-element adaptive refinement incompressible
magnetohydrodynamic (MHD) code [Rosenberg, Fournier, Fischer, Pouquet, J. Comp.
Phys. 215, 59-80 (2006)] is applied to simulate the problem of MHD island
coalescence instability (MICI) in two dimensions. MICI is a fundamental MHD
process that can produce sharp current layers and subsequent reconnection and
heating in a high-Lundquist number plasma such as the solar corona [Ng and
Bhattacharjee, Phys. Plasmas, 5, 4028 (1998)]. Due to the formation of thin
current layers, it is highly desirable to use adaptively or statically refined
grids to resolve them, and to maintain accuracy at the same time. The output of
the spectral-element static adaptive refinement simulations are compared with
simulations using a finite difference method on the same refinement grids, and
both methods are compared to pseudo-spectral simulations with uniform grids as
baselines. It is shown that with the statically refined grids roughly scaling
linearly with effective resolution, spectral element runs can maintain accuracy
significantly higher than that of the finite difference runs, in some cases
achieving close to full spectral accuracy.

categories: physics.comp-ph astro-ph.EP astro-ph.SR physics.plasm-ph physics.space-ph


title:
A Family of Likelihood Ascent Search Multiuser Detectors: an Upper Bound
  of Bit Error Rate and a Lower Bound of Asymptotic Multiuser Efficiency

abstract:
  In this paper, the bit error performance of a family of likelihood ascent
search (LAS) multiuser detectors is analyzed. An upper bound on the BER of any
LAS detector is obtained by bounding the fixed point region with the worst
initial detector. The concept of indecomposable errors developed by Verdu is
applied to tighten the upper bound. In a special instance, the upper bound is
reduced to that for all the local maximum likelihood detectors. The upper bound
is comparable with that of the optimum detector obtained by Verdu. A lower
bound on the asymptotic multiuser efficiency (AME) is then obtained. It is
shown that there are nontrivial CDMA channels such that a LAS detector can
achieve unit AME regardless of user number. The AME lower bound provides a
means for further seeking a good set of spreading sequences and power
distribution for spectral and power efficient CDMA.


title: The G-Fredholm Property of the \bar\partial-Neumann Problem

abstract:
  Let $G$ be a unimodular Lie group, $X$ a compact manifold with boundary, and
$M$ be the total space of a principal bundle $G\to M\to X$ so that $M$ is also
a strongly pseudoconvex complex manifold. In this work, we show that if $G$
acts by holomorphic transformations in $M$, then the complex Laplacian
$\square$ on $M$ has the following properties: The kernel of $\square$
restricted to the forms $\Lambda^{p,q}$ with $q$ positive is a closed,
$G$-invariant subspace in $L^{2}(M,\Lambda^{p,q})$ of finite $G$-dimension.
Secondly, we show that if $q$ is positive, then the image of $\square$ contains
a closed, $G$-invariant subspace of finite codimension in
$L^{2}(M,\Lambda^{p,q})$. These two properties taken together amount to saying
that $\square$ is a $G$-Fredholm operator. The boundary Laplacian has similar
properties.


title: Packing 3-Vertex Paths in Claw-Free Graphs

abstract:
  An L-factor of a graph G is a spanning subgraph of G whose every component is
a 3-vertex path. Let v(G) denote the number of vertices of G. A graph is called
claw-free if it does not have a subgraph isomorphic to the graph with 4
vertices and 3 edges having a common vertex. Our results include the following.
Let G$ be a 3-connected claw-free graph, x be a vertex, e = xy be an edge, and
P be a 3-vertex path in G. Then (c1) if v(G) = 0 mod 3, then G has an L-factor
containing (avoiding) e, (c2) if v(G) = 1 mod 3, then G - x has a L-factor,
(c3) if v(G) = 2 mod 3, then G - x -y has an L-factor, (c4) if v(G) = 0 mod 3
and G is either cubic or 4-connected, then G - P has an L-factor, and (c5) if G
is cubic and E is a set of three edges in G, then G - E has an L -factor if and
only if the subgraph induced by E in G is not a claw and not a triangle.
  Keywords: claw-free graph, cubic graph, L-packing, L-factor.


title:
Washboard Road: The dynamics of granular ripples formed by rolling
  wheels

abstract:
  Granular surfaces tend to develop lateral ripples under the action of surface
forces exerted by rolling wheels, an effect known as washboard or corrugated
road. We report the results of both laboratory experiments and soft-particle
direct numerical simulations. Above a critical speed, the ripple pattern
appears as small patches of traveling waves which eventually spread to the
entire circumference. The ripples drift slowly in the driving direction.
Interesting secondary dynamics of the saturated ripples were observed, as well
as various ripple creation and destruction events. All of these effects are
captured qualitatively by 2D soft particle simulations in which a disk rolls
over a bed of poly-disperse particles in a periodic box. These simulations show
that compaction and segregation are inessential to the ripple phenomenon. We
also discuss a simplified scaling model which gives some insight into the
mechanism of the instability.

categories: nlin.PS cond-mat.soft nlin.CD physics.pop-ph


title:
The Interaction Between Multi-Overlaps in the High Temperature Phase of
  the Sherrington-Kirkpatrick Spin Glass

abstract:
  We explore the joint behavior of a finite number of multi-overlaps in the
high temperature phase of the SK model. Extending work by M. Talagrand, we show
that, when these objects are scaled to have non-trivial limiting distributions,
the joint behavior is described by a Gaussian process with an explicit
covariance structure.


title: The meandering instability of a viscous thread

abstract:
  A viscous thread falling from a nozzle onto a surface exhibits the famous
rope-coiling effect, in which the thread buckles to form loops. If the surface
is replaced by a belt moving with speed $U$, the rotational symmetry of the
buckling instability is broken and a wealth of interesting states are observed
[See S. Chiu-Webster and J. R. Lister, J. Fluid Mech., {\bf 569}, 89 (2006)].
We experimentally studied this "fluid mechanical sewing machine" in a new, more
precise apparatus. As $U$ is reduced, the steady catenary thread bifurcates
into a meandering state in which the thread displacements are only transverse
to the motion of the belt. We measured the amplitude and frequency $\omega$ of
the meandering close to the bifurcation. For smaller $U$, single-frequency
meandering bifurcates to a two-frequency "figure eight" state, which contains a
significant $2\omega$ component and parallel as well as transverse
displacements. This eventually reverts to single-frequency coiling at still
smaller $U$. More complex, highly hysteretic states with additional frequencies
are observed for larger nozzle heights. We propose to understand this zoology
in terms of the generic amplitude equations appropriate for resonant
interactions between two oscillatory modes with frequencies $\omega$ and
$2\omega$. The form of the amplitude equations captures both the axisymmetry of
the U=0 coiling state and the symmetry-breaking effects induced by the moving
belt.

categories: physics.flu-dyn math.DS nlin.PS physics.class-ph


title: An Overview of Hopf Algebras of Trees and Their Actions on Functions

abstract:
  We provide an expository account of some of the Hopf algebras that can be
defined using trees, labeled trees, ordered trees and heap ordered trees. We
also describe some actions of these Hopf algebras on algebra of functions.


title: Dihedral-angle Gaussian distribution driving protein folding

abstract:
  The proposal of this paper is to provide a simple angular random walk model
to build up polypeptide structures, which encompass properties of dihedral
angles of folded proteins. From this model, structures will be built with
lengths ranging from 125 up to 400 amino acids for the different fractions of
secondary structure motifs, which dihedral angles were randomly chosen
according to narrow Gaussian probability distributions. In order to measure the
fractal dimension of proteins three different cases were analyzed. The first
contained alpha-helix structures only, the second beta-strands structures and
the third a mix of alpha-helices and beta-sheets. The behavior of proteins with
alpha-helix motifs are more compacted than in other situations. The findings
herein indicate that this model describes some structural properties of a
protein and suggest that randomness is an essential ingredient but proteins are
driven by narrow angular Gaussian probability distributions and not by
random-walk processes.


title: Hopf-algebraic structures of families of trees

abstract:
  Description of cocommutative Hopf algebras associated with families of trees.
Applications include Cayley's theorem on the number of rooted trees with n
nodes, and Catalan's theorem on the number of rooted ordered trees with n
nodes.


title: Local discriminants, kummerian extensions, and elliptic curves

abstract:
  Some thoughts on the congruence D=0,1(mod 4) for the absolute discriminant D
of a number field


title: Wilson's theorem

abstract:
  We show that there are four possibilities for the product of all elements in
the multiplicative group of a quotient of the ring of integers in a number
field, and give precise conditions for each of the possibilities to occur. This
generalisation of Wilson's theorem turns out to have been first discovered by
M. La\v{s}\v{s}\'ak (2000), but our proof is simpler and more direct.


title:
Systematic Analysis of B --> K pi l^+ l^- Decay through Angular
  Decomposition

abstract:
  We investigate systematically how to extract new physics contributions in B
--> K pi l^+ l^- decay by using the angular decomposition. The decomposition
will enable us to define not only several CP averaged forward-backward (FB)
asymmetries but also the direct CP asymmetry and the time-dependent mixing
induced CP asymmetry for each FB asymmetry newly defined in the general 4 body
angular space. The decay process involves several intermediate vector and
scalar resonances as sources of strong phase difference through interference,
therefore, one can expect largely enhanced CP asymmetries, if there exists any
new physics with weak CP phases. The combined analysis of the FB and CP
asymmetries will give us fruitful information about new physics contributions
in detail.


title: Multipartite Dark Matter

abstract:
  Dark matter (comprising a quarter of the Universe) is usually assumed to be
due to one and only one weakly interacting particle which is neutral and
absolutely stable. We consider the possibility that there are several
coexisting dark-matter particles, and explore in some detail the generic case
where there are two. We discuss how the second dark-matter particle may relax
the severe constraints on the parameter space of the Minimal Supersymmetric
Standard Model, as well as other verifiable predictions in both direct and
indirect search experiments.


title: Entanglement in an SU(n) Valence-Bond-Solid State

abstract:
  We investigate entanglement properties in the ground state of the
open/periodic SU($n$) generalized valence-bond-solid state consisting of
representations of SU($n$). We obtain exact expression for the reduced density
matrix of a block of contiguous spins and explicitly evaluate the von Neumann
and the R\'enyi entropies. We discover that the R\'enyi entropy is independent
of the parameter $\alpha$ in the limit of large block sizes and its value $2
\log n$ coincides with that of von Neumann entropy. We also find the direct
relation between the reduced density matrix of the subsystem and edge states
for the corresponding open boundary system.

categories: quant-ph cond-mat.stat-mech math-ph math.MP


title:
Positivit\'e des exposants de Lyapounov pour un op\'erateur de
  Schr\"odinger continu \`a valeurs matricielles

abstract:
  In this note, we study a continuous matrix-valued Anderson-type model. Both
leading Lyapounov exponents of this model are proved to be positive and
distincts for all energies in $(2,+\infty)$ except those in a discrete set,
which leads to absence of absolutely continuous spectrum in $(2,+\infty)$. The
methods, using group theory results by Breuillard and Gelander, allow for
singular Bernoulli distributions.


title:
Dynamics of cascade three-level system interacting with the classical
  and quantized field

abstract:
  We study the exact solutions of the cascade three-level atom interacting with
a single mode classical and quantized field with different initial conditions
of the atom. For the semiclassical model, it is found that if the atom is
initially in the middle level, the time dependent populations of the upper and
lower levels are always equal. This dynamical symmetry exhibited by the
classical field is spoiled on quantization of the field mode. To reveal this
nonclassical effect an Euler matrix formalism is developed to solve the dressed
states of the cascade Jaynes-Cummings model (JCM). Possible modification of
such effect on the collapse and revival phenomenon is also discussed by taking
the quantized field in a coherent state.


title: Quantum smoothing

abstract:
  Quantum initial state estimation through entanglement and continuous
measurement is introduced. This paper provides a unified formulation of
classical and quantum smoothing and shows a smoothing uncertainty relation. As
an example, a communication between two parties via a two mode squeezed state
is shown.


title:
Formation of intermediate-mass black holes as primordial black holes in
  the inflationary cosmology with running spectral index

abstract:
  Formation of primordial black holes (PBHs) on astrophysical mass scales is a
natural consequence of inflationary cosmology if the primordial perturbation
spectrum has a large and negative running of the spectral index as
observationally inferred today, because double inflation is required to explain
it and fluctuations on some astrophysical scales are enhanced in the field
oscillation regime in between. It is argued that PBHs thus produced can serve
as intermediate-mass black holes (IMBHs) which act as the observed
ultraluminous X-ray sources (ULXs) by choosing appropriate values of the model
parameters in their natural ranges. Our scenario can be observationally tested
in near future because the mass of PBHs is uniquely determined once we specify
the values of the spectral index and its running on large scales.


title:
Spherical-separablility of non-Hermitian Dirac Hamiltonians and
  pseudo-PT-symmetry

abstract:
  A non-Hermitian P$_{\phi}$T$_{\phi}$-symmetrized spherically-separable Dirac
Hamiltonian is considered. It is observed that the descendant Hamiltonians
H$_{r}$, H$_{\theta}$, and H$_{\phi}$ play essential roles and offer some
user-feriendly options as to which one (or ones) of them is (or are)
non-Hermitian. Considering a P$_{\phi}$T$_{\phi}$-symmetrized H$_{\phi}$, we
have shown that the conventional relativistic energy eigenvalues are
recoverable. We have also witnessed an unavoidable change in the azimuthal part
of the general wavefunction. Moreover, setting a possible interaction
$V(\theta)$=0 in the descendant Hamiltonian H$_{\theta}$ would manifest a
change in the angular $\theta$-dependent part of the general solution too.
Whilst some P$_{\phi}$T$_{\phi}$-symmetrized H$_{\phi}$ Hamiltonians are
considered, a recipe to keep the regular magnetic quantum number m, as defined
in the regular traditional Hermitian settings, is suggested. Hamiltonians
possess properties similar to the PT-symmetric ones (here the non-Hermitian


title: Simulations of one-flavor QCD at finite temperature by RHMC

abstract:
  We simulate one-flavor QCD with standard Wilson fermions at finite
temperature by the rational hybrid Monte Carlo algorithm. In the heavy quark
region when we decrease the quark mass there is an endpoint which terminates
the first order phase transition. We try to locate it by calculating the Binder
cumulant of the Polyakov loop norm. We estimate the end-point to be kappa_c
\sim 0.07-0.08.


title: H\"older continuity of the IDS for matrix-valued Anderson models

abstract:
  We study a class of continuous matrix-valued Anderson models acting on
$L^{2}(\R^{d})\otimes \C^{N}$. We prove the existence of their Integrated
Density of States for any $d\geq 1$ and $N\geq 1$. Then for $d=1$ and for
arbitrary $N$, we prove the H\"older continuity of the Integrated Density of
States under some assumption on the group $G_{\mu_{E}}$ generated by the
transfer matrices associated to our models. This regularity result is based
upon the analoguous regularity of the Lyapounov exponents associated to our
model, and a new Thouless formula which relates the sum of the positive
Lyapounov exponents to the Integrated Density of States. In the final section,
we present an example of matrix-valued Anderson model for which we have already
proved, in a previous article, that the assumption on the group $G_{\mu_{E}}$
is verified. Therefore the general results developed here can be applied to
this model.


title: On the universal abelian variety of dimension 4

abstract:
  Let A be the moduli space of principally polarized abelian varieties of
dimension 4 over an algebraically closed field k of characteristic different
from 2,3. It is proved that the universal principally polarized abelian variety
over A, as well as the universal theta divisor over A, are unirational
varieties.


title: A Two Higgs Bi-doublet Left-Right Model With Spontaneous CP Violation

abstract:
  We discuss a left-right symmetric model with two Higgs bi-doublet and
spontaneous P and CP violation. The flavor changing neutral currents is
suppressed by assuming approximate global U(1) family symmetry. We calculate
the constraints from neural K meson mass difference \Delta m_K and demonstrate
that a right-handed gauge boson W_2 contribution in box-diagrams with mass
around 600 GeV is allowed due to a negative interference with a light charged
Higgs boson around 150 \sim 300 GeV. The W_2 contribution to \epsilon_K is
suppressed from appropriate choice of additional CP phases appearing in the
right-handed Cabbibo-Kobayashi-Maskawa(CKM) matrix. The model is found fully
consistent with B^0 mass difference and the mixing-induced CP asymmetry
measurements.


title: A Simple Proof of Sharkovsky's Theorem Rerevisited

abstract:
  Based on various strategies and a new general doubling operator, we obtain
several simple proofs of the celebrated Sharkovsky's cycle coexistence theorem.
A simple non-directed graph proof which is especially suitable for a calculus
course right after the introduction of Intermediate Value Theorem is also given
(in section 3).


title: Topologically Massive Abelian Gauge Theory

abstract:
  We discuss three mathematical structures which arise in topologically massive
abelian gauge theory. First, the euclidean topologically massive abelian gauge
theory defines a contact structure on a manifold. We briefly discuss three
solutions and the related contact structures on the flat 3-torus, the AdS
space, the 3-sphere which respectively correspond to Bianchi type I, VIII, IX
spaces. We also present solutions on Bianchi type II, VI and VII spaces.
Secondly, we discuss a family of complex (anti-)self-dual solutions of the
euclidean theory in cartesian coordinates on R3 which are given by
(anti-)holomorpic functions. The orthogonality relation of contact structures
which are determined by the real parts of these complex solutions separates
them into two classes: the self-dual and the anti-self-dual solutions. Thirdly,
we apply the curl transformation to this theory. An arbitrary solution is given
by a vector tangent to a sphere whose radius is determined by the topological
mass in transform space. Meanwhile a gauge transformation corresponds to a
vector normal to this sphere. We discuss the quantization of topological mass
on an example.