title:
Cubical cospans and higher cobordisms (Cospans in algebraic topology,
  III)

abstract:
  After two papers on weak cubical categories and {\it collarable} cospans,
respectively, we put things together and construct a {\it weak} cubical
category of cubical {\it collared} cospans of topological spaces. We also build
a second structure, called a {\it quasi} cubical category, formed of arbitrary
cubical cospans concatenated by homotopy pushouts. This structure, simpler but
weaker, has {\it lax} identities. It contains a similar framework for
cobordisms of manifolds with corners and could therefore be the basis to extend
the study of TQFT's of Part II to higher cubical degree.


title:
Existence of a polyhedron which does not have a non-overlapping
  pseudo-edge unfolding

abstract:
  There exists a surface of a convex polyhedron P and a partition L of P into
geodesic convex polygons such that there are no connected "edge" unfoldings of
P without self-intersections (whose spanning tree is a subset of the edge
skeleton of L).


title: On the zeros of the Riemann zeta function

abstract:
  In 2008 I thought I found a proof of the Riemann Hypothesis, but there was an
error. In the Spring 2020 I believed to have fixed the error, but it cannot be
fixed. I describe here where the error was. It took me several days to find the
error in a careful checking before a possible submission to a payable review
offered by one leading journal. There were three simple lemmas and one simple
theorem, all were correct, yet there was an error: what Lemma 2 proved was not
exactly what Lemma 3 needed. So, it was the connection of the lemmas. This
paper came out empty, but I have found a different proof of the Riemann
Hypothesis and it seems so far correct. In the discussion at the end of this
paper I raise a matter that I think is of importance to the review process in
mathematics.


title:
Singular fiber of the Mumford system and rational solutions to the KdV
  hierarchy

abstract:
  We study the singular iso-level manifold $M_g(0)$ of the genus $g$ Mumford
system associated to the spectral curve $y^2=x^{2g+1}$. We show that $M_g(0)$
is stratified by $g+1$ open subvarieties of additive algebraic groups of
dimension $0,1,...,g$ and we give an explicit description of $M_g(0)$ in terms
of the compactification of the generalized Jacobian. As a consequence, we
obtain an effective algorithm to compute rational solutions to the genus $g$
Mumford system, which is closely related to rational solutions of the KdV
hierarchy.


title: DBI-Curvaton

abstract:
  In this paper, we study a curvaton model described by a
Dirac-Born-Infeld-like action. We calculate the spectrum of curvature
perturbation induced by DBI-curvaton and estimate its non-Gaussianity. We find
that in the limit of low sound speed the amplitude of curvature perturbation is
enhanced more than that in DBI inflation. This result also means that the
inflationary scale with DBI-curvaton may be lower than that in usual curvaton
model. In addition, we also find that the local non-Gaussianity level in
DBI-curvaton is generally about 10 times larger than that in usual curvaton
model, which is interesting for current observations. This work in some sense
explores a new application of brane-cosmology in inflation.


title:
Band structure effects on the Be(0001) acoustic-surface-plasmon energy
  dispersion

abstract:
  We report first-principles calculations of acoustic surface plasmons on the
(0001) surface of Be, as obtained in the random-phase approximation of
many-body theory. The energy dispersion of these collective excitations has
been obtained along two symmetry directions. Our results show a considerable
anisotropy of acoustic surface plasmons, and underline the capability of
experimental measurements of these plasmons to {\it map} the electron-hole
excitation spectrum of the quasi two-dimensional Shockley surface state band
that is present on the Be(0001) surface.


title:
Symmetry analysis and exact solutions of modified Brans-Dicke
  cosmological equations

abstract:
  We perform a symmetry analysis of modified Brans-Dicke cosmological equations
and present exact solutions. We discuss how the solutions may help to build
models of cosmology where, for the early universe, the expansion is linear and
the equation of state just changes the expansion velocity but not the
linearity. For the late universe the expansion is exponential and the effect of
the equation of state on the rate of expansion is just to change the constant
Hubble parameter.


title: On a non-combinatorial definition of Stirling numbers

abstract:
  In Combinatorics Stirling numbers may be defined in several ways. One such
definition is given in [1], where an extensive consideration of Stirling
numbers is presented. In this paper an alternative definition of Stirling
numbers of both kind is given. Namely, Stirling numbers of the first kind
appear in the closed formula for the n-th derivative of ln x. In the same way
Stirling numbers of the second kind appear in the formula for the n-th
derivative of f(e^x), where f(x) is an arbitrary smooth real function. This
facts allow us to define Stirling numbers within the frame of differential
calculus. These definitions may be interesting because arbitrary functions
appear in them. Choosing suitable function we may obtain different properties
of Stirling numbers by the use of derivatives only. Using simple properties of
derivatives we obtain here three important properties of Stirling numbers.
First are so called two terms recurrence relations, from which one can easily
derive the combinatorial meaning of Stirling numbers. Next we obtain expansion
formulas of powers into falling factorials, and vise versa. These expansions
usually serve as the definitions of Stirling numbers, as in [1]. Finally, we
obtain the exponential generating functions for Stirling and Bell numbers. As a
by product the closed formulas for the $n$-th derivative of the functions
f(e^x) and f(ln x) are obtained.


title:
Signatures of gaugino mass non-universality in cascade Higgs production
  at the LHC

abstract:
  Supersymmetric cascades, involving charginos and neutralinos at various
stages, contribute in a significant way to Higgs production at the LHC. We
explore the nature of such cascades, completely relaxing the universality of
the gaugino masses. It is found that the deviation from the scenario with
universal gaugino masses would be reflected in the relative production rates
for the lightest Higgs and the charged Higgses, two characteristic particles of
an extended Higgs sector.


title: Metal Coupled Folding of Cys2His2 Zinc-Finger

abstract:
  Zinc-fingers, which widely exist in eukaryotic cell and play crucial roles in
life processes, depend on the binding of zinc ion for their proper folding. To
computationally study the zinc coupled folding of the zinc-fingers, charge
transfer and metal induced protonation/deprotonation effects have to be
considered. Here, by attempting to implicitly account for such effects in
classical molecular dynamics and performing intensive simulations with explicit
solvent for the peptides with and without zinc binding, we investigate the
folding of the Cys2His2 type zinc-finger motif and the coupling between the
peptide folding and zinc binding. We find that zinc ion not only stabilizes the
native structure, but also participates in the whole folding process. It binds
to the peptide at early stage of folding, and directs or modulates the folding
and stabilizations of the component beta-hairpin and alpha-helix. Such a
crucial role of zinc binding is mediated by the packing of the conserved
hydrophobic residues. We also find that the packing of the hydrophobic residues
and the coordination of the native ligands are coupled. Meanwhile, the
processes of zinc binding, mis-ligation, ligand exchange and zinc induced
secondary structure conversion, as well as the water behaviour, due to the
involvement of zinc ion are characterized. Our results are in good agreement
with related experimental observations, and provide significant insight into
the general mechanisms of the metal-cofactor dependent protein folding and
other metal induced conformational changes of biological importance.


title:
High domain wall velocities due to spin currents perpendicular to the
  plane

abstract:
  We consider long and narrow spin valves composed of a first magnetic layer
with a single domain wall (DW), a normal metal spacer and a second magnetic
layer that is a planar or a perpendicular polarizer. For these structures, we
study numerically DW dynamics taking into account the spin torques due to the
perpendicular spin currents. We obtain high DW velocities: 50 m/s for planar
polarizer and 640 m/s for perpendicular polarizer for J = 5*10^6 A/cm^2. These
values are much larger than those predicted and observed for DW motion due to
the in-plane spin currents. The ratio of the magnitudes of the torques, which
generate the DW motion in the respective cases, is responsible for these large
differences.


title: Toeplitz operators on symplectic manifolds

abstract:
  We study the Berezin-Toeplitz quantization on symplectic manifolds making use
of the full off-diagonal asymptotic expansion of the Bergman kernel. We give
also a characterization of Toeplitz operators in terms of their asymptotic
expansion. The semi-classical limit properties of the Berezin-Toeplitz
quantization for non-compact manifolds and orbifolds are also established.


title:
Multiparameter statistical models from $N^2\times N^2$ braid matrices:
  Explicit eigenvalues of transfer matrices ${\bf T}^{(r)}$, spin chains,
  factorizable scatterings for all $N$

abstract:
  For a class of multiparameter statistical models based on $N^2\times N^2$
braid matrices the eigenvalues of the transfer matrix ${\bf T}^{(r)}$ are
obtained explicitly for all $(r,N)$. Our formalism yields them as solutions of
sets of linear equations with simple constant coefficients. The role of
zero-sum multiplets constituted in terms of roots of unity is pointed out and
their origin is traced to circular permutations of the indices in the tensor
products of basis states induced by our class of ${\bf T}^{(r)}$ matrices. The
role of free parameters, increasing as $N^2$ with $N$, is emphasized
throughout. Spin chain Hamiltonians are constructed and studied for all $N$.
Inverse Cayley transforms of Yang-Baxter matrices corresponding to our braid
matrices are obtained for all $N$. They provide potentials for factorizable
$S$-matrices. Main results are summarized and perspectives are indicated in the
concluding remarks.


title: D-Branes on C^3_6 part I: prepotential and GW-invariants

abstract:
  This is the first of a set of papers having the aim to provide a detailed
description of brane configurations on a family of noncompact threedimensional
Calabi-Yau manifolds. The starting point is the singular manifold C^3/Z_6,
which admits five distinct crepant resolutions. Here we apply local mirror
symmetry to partially determine the prepotential encoding the GW-invariants of
the resolved varieties. It results that such prepotential provides all numbers
but the ones corresponding to curves having null intersection with the compact
divisor. This is realized by means of a conjecture, due to S. Hosono, so that
our results provide a check confirming at least in part the conjecture.


title:
Coexistence of amplitude and frequency modulations in intracellular
  calcium dynamics

abstract:
  The complex dynamics of intracellular calcium regulates cellular responses to
information encoded in extracellular signals. Here, we study the encoding of
these external signals in the context of the Li-Rinzel model. We show that by
control of biophysical parameters the information can be encoded in amplitude
modulation, frequency modulation or mixed (AM and FM) modulation. We briefly
discuss the possible implications of this new role of information encoding for
astrocytes.


title:
Dynamic Formation of Metastable Intermediate State Patterns in Type-I
  Superconductors

abstract:
  Structure of the intermediate state in type-I superconducting lead (Pb) is
shown to be very sensitive to the ramp rate of an applied magnetic field. The
configurations of resulting static patterns depend sensitively on the shape of
the specimen. In particular, geometric barrier, present in the samples with
rectangular cross-section, plays an important role in determining the sharp
boundary between the phases of different topology. We propose that seemingly
laminar (stripe) pattern obtained as a result of the fast field ramp is simply
an imprint left behind by the fast-moving flux tubes. Our results confirm that
flux tube phase is topologically favorable.


title: Rootless pairs of $EE_8$-lattices

abstract:
  We describe a classification of pairs $M, N$ of lattices isometric to
$EE_8:=\sqrt 2 E_8$ such that the lattice $M + N$ is integral and rootless and
such that the dihedral group associated to them has order at most 12. It turns
out that most of these pairs may be embedded in the Leech lattice. Complete
proofs will appear in another article. This theory of integral lattices has
connections to vertex operator algebra theory and moonshine.


title:
General Relativistic Effect of Gravitomagnetic Charge on Pulsar
  Magnetosphere and Particle Acceleration in a Polar Cap

abstract:
  We study magnetospheric structure surrounding rotating magnetized neutron
star with nonvanishing NUT (Newman-Tamburino-Unti) parameter. For the
simplicity of calculations Goldreich-Julian charge density is analyzed for the
aligned neutron star with zero inclination between magnetic field,
gravitomagnetic field and rotation axis. From the system of Maxwell equations
in spacetime of slowly rotating NUT star, second-order differential equation
for electrostatic potential is derived. Analytical solution of this equation
indicates the general relativistic modification of an accelerating electric
field and charge density along the open field lines by the gravitomagnetic
charge. The implication of this effect to the magnetospheric energy loss
problem is underlined. In the second part of the paper we derive the equations
of motion of test particles in magnetosphere of slowly rotating NUT star. Then
we analyze particle motion in the polar cap and show that NUT parameter can
significantly change conditions for particle acceleration.


title: Abelian functions associated with a cyclic tetragonal curve of genus six

abstract:
  We develop the theory of Abelian functions defined using a tetragonal curve
of genus six, discussing in detail the cyclic curve $y^4 = x^5 + \lambda_4x^4 +
\lambda_3x^3 + \lambda_2x^2 + \lambda_1x + \lambda_0$. We construct Abelian
functions using the multivariate $\sigma$-function associated to the curve,
generalising the theory of the Weierstrass $\wp$-function. We demonstrate that
such functions can give a solution to the KP-equation, outlining how a general
class of solutions could be generated using a wider class of curves. We also
present the associated partial differential equations satisfied by the
functions, the solution of the Jacobi Inversion Problem, a power series
expansion for $\sigma(\bu)$ and a new addition formula.


title:
Hidden order in bosonic gases confined in one dimensional optical
  lattices

abstract:
  We analyze the effective Hamiltonian arising from a suitable power series
expansion of the overlap integrals of Wannier functions for confined bosonic
atoms in a 1d optical lattice. For certain constraints between the coupling
constants, we construct an explicit relation between such an effective bosonic
Hamiltonian and the integrable spin-$S$ anisotropic Heisenberg model. Therefore
the former results to be integrable by construction. The field theory is
governed by an anisotropic non linear $\sigma$-model with singlet and triplet
massive excitations; such a result holds also in the generic non-integrable
cases. The criticality of the bosonic system is investigated. The schematic
phase diagram is drawn. Our study is shedding light on the hidden symmetry of
the Haldane type for one dimensional bosons.

categories: cond-mat.other cond-mat.stat-mech hep-th quant-ph


title: Pressure-induced superconductivity in PrOxFeAs

abstract:
  Superconductivity with Tc of 45 K was realized in the tetragonal
ZrCuSiAs-type PrOxFeAs (x=0.75) under heat treatment of 1300 oC and pressure of
6 GPa for 2 hours. Although the sample prepared at 900 oC in vaccum possessed
the same phase as that treated in pressure, the electrical transport
measurement showed the similar behavior with its parent ReOFeAs (Re: rare-earth
metal). This pressure-induced superconductivity could give us a hint to
understand the origins of the newly-found iron based superconductors.


title:
The exact dynamical solution for two dust shells collapsing towards a
  black hole

abstract:
  The gravitational collapse of a star is an important issue both for general
relativity and astrophysics, which is related to the well known "frozen star"
paradox. Following the seminal work of Oppenheimer and Schneider (1939), we
present the exact solution for two dust shells collapsing towards a
pre-existing black hole. We find that the inner region of the shell is
influenced by the property of the shell, which is contrary to the result in
Newtonian theory and and the clock inside the shell becomes slower as the shell
collapses towards the pre-existing black hole. This result in principle may be
tested experimentally if a beam of light travels across the shell. We conclude
that the concept of the "frozen star" should be abandoned, since matter can
indeed cross a black hole's horizon according to the clock of an external
observer. Since matter will not accumulate around the event horizon of a black
hole, we predict that only gravitational wave radiation can be produced in the
final stage of the merging process of two coalescing black holes. Our results
also indicate that for the clock of an external observer, matter, after
crossing the event horizon, will never arrive at the "singularity" (i.e. the
exact center of the black hole.


title:
Synthesis of nanocrystalline Spinel phase by Mechanical Milling of
  Al-Cu-Fe and Al-Cu-Cr-Fe Quasicrystalline alloys

abstract:
  In the present study, low-temperature synthesis of (Cu Fe)Al2O4 and (Cu Cr
Fe)Al2O4 spinels from the quasicrystalline phases was investigated with the
variation of process parameters during milling and annealing. The milling of
the quasicrystalline materials was carried out in an attritor mill at 400 rpm
for 40 hours with ball to powder ratio of 40:1 in hexane medium. Subsequently,
annealing was performed in an air ambience for 10, 20, and 40 h at 400, 500,
600 and 700 C in side a furnace in order to oxidize the mechanically milled
quasicrystalline phase for the possible formation of the spinel phase. It was
found that after annealing at higher temperature (500 C), mechanically milled
quasicrystalline alloy transformed to spinel phase whereas annealing at lower
temperature (500 C) it led to the formation of B2 phase as a major one along
with minor amount of oxide phase. The X-ray diffraction and transmission
electron microscopy of the annealed samples confirmed the formation of spinel
phase with an average grain size of 20-40 nm. It is interesting to note that
the nanospinel phases showed the different colors during various annealing time
and temperature. The optical properties of nanospinel materials, investigated
employing UV visible spectrometer exhibited absorption characteristics.


title: Formation and stability of icosahedral phase in Al65Ga5Pd17Mn13 alloy

abstract:
  In this work, we present the formation and characterization of a quaternary
(pseudo ternary) icosahedral quasicrystal in Al65Ga5Pd17Mn13 alloy. The X ray
diffraction and transmission electron microscopy confirmed the formation of
icosahedral B2 type and O crystalline (orthorhombic structure) phases in as
cast alloy. The icosahedral phase gets formed after annealing at 800 C for 60
hours. The formation of icosahedral phase in AlGaPdMn quaternary alloy by
present technique has been studied for the first time. The Energy dispersive
X-ray analysis investigations suggest the presence of Ga (5 at) in the alloy.
It is interesting to note that pseudo twelve fold pattern in the as cast alloy
has been observed. Icosahedral AlGaPdMn provides a new opportunity to
investigate the various characteristics including surface characteristics.
Attempts will be made to discuss the micromechanisms for the formation of
quasicrystalline phase in Al-Ga-Pd-Mn alloys.


title:
Towards Relativistic Atomic Physics. I. The Rest-Frame Instant Form of
  Dynamics and a Canonical Transformation for a System of Charged Particles
  plus the Electro-Magnetic Field

abstract:
  A complete exposition of the rest-frame instant form of dynamics for
arbitrary isolated systems (particles, fields, strings, fluids)admitting a
Lagrangian description is given. The starting point is the parametrized
Minkowski theory describing the system in arbitrary admissible non-inertial
frames in Minkowski space-time, which allows one to define the energy-momentum
tensor of the system and to show the independence of the description from the
clock synchronization convention and from the choice of the 3-coordinates. In
the inertial rest frame the isolated system is seen as a decoupled
non-covariant canonical external center of mass carrying a pole-dipole
structure (the invariant mass $M$ and the rest spin ${\vec {\bar S}}$ of the
system) and an external realization of the Poincare' group. Then an isolated
system of positive-energy charged scalar articles plus an arbitrary
electro-magnetic field in the radiation gauge is investigated as a classical
background for defining relativistic atomic physics. The electric charges of
the particles are Grassmann-valued to regularize the self-energies. The
rest-frame conditions and their gauge-fixings (needed for the elimination of
the internal 3-center of mass) are explicitly given. It is shown that there is
a canonical transformation which allows one to describe the isolated system as
a set of Coulomb-dressed charged particles interacting through a Coulomb plus
Darwin potential plus a free transverse radiation field: these two subsystems
are not mutually interacting and are interconnected only by the rest-frame
conditions and the elimination of the internal 3-center of mass. Therefore in
this framework with a fixed number of particles there is a way out from the
Haag theorem,at least at the classical level.


title: QCD Explorer Based ea and gamma-a Colliders

abstract:
  TeV scale lepton-hadron and photon-hadron colliders are necessary both to
clarify fundamental aspects of strong interactions and for adequate
interpretation of the LHC data. Today, there are two realistic proposals for
the post-HERA era, namely, QCD Explorer (QCD-E) and Large Hadron electron
Collider (LHeC). Both QCD-E and LHeC can operate as eA colliders, whereas
gamma-p and gamma-A options are unique for QCD-E. Another advantage of QCD-E is
the possibility to increase the center of mass energy by lengthening of
electron linac. In this presentation main parameters of the QCD-E nucleus
options are discussed.


title: On the Phenomenology of Hidden Valleys with Heavy Flavor

abstract:
  A preliminary investigation of a large class of Hidden Valley models is
presented. These models are more challenging than those considered in
arXiv:0712.2041 [hep-ph]; although they produce a new light resonance which
decays to heavy standard model fermions, they exhibit no light dilepton
resonance. A heavy $Z'$ decaying to v-hadrons, which in turn decay mainly to
bottom quarks and tau leptons, is considered; six case studies are
investigated, using a new Monte Carlo simulation package. It is found that the
one-to-one correspondence of jets and partons is badly broken, and the
high-multiplicity heavy-flavor signal probably cannot be isolated by counting
jets, with or without heavy-flavor tags. Instead, other measures, such as
counting and correlating vertices or displaced tracks, and possibly counting of
(non-isolated) muons and use of event-shape variables, should be combined with
scalar transverse energy and/or missing transverse energy to reduce
backgrounds. Within the resulting sample, searches for the v-pion mass
resonance in both di-jet and single-jet invariant mass can help confirm a
signal. The best observable in a perfect calorimeter seems to be single-jet
invariant mass for jets of larger radius ($R$=0.7), although this needs further
study in a realistic setting. A more detailed signal-to-background study is
needed as a next step, but will face the difficulty of estimating the various
high-multiplicity backgrounds.


title:
Penetration depth, multiband superconductivity, and absence of
  muon-induced perturbation in superconducting PrOs$_{4}$Sb$_{12}$

abstract:
  Transverse-field muon spin rotation ($\mu$SR) experiments in the
heavy-fermion superconductor PrOs$_{4}$Sb$_{12}$ ($T_{c}=1.85$ K) suggest that
the superconducting penetration depth $\lambda(T)$ is temperature-independent
at low temperatures, consistent with a gapped quasiparticle excitation
spectrum. In contrast, radiofrequency (rf) inductive measurements yield a
stronger temperature dependence of $\lambda(T)$, indicative of point nodes in
the gap. This discrepancy appears to be related to the multiband structure of
PrOs$_{4}$Sb$_{12}$. Muon Knight shift measurements in PrOs$_{4}$Sb$_{12}$
suggest that the perturbing effect of the muon charge on the neighboring
Pr$^{3+}$ crystalline electric field is negligibly small, and therefore is
unlikely to cause the difference between the $\mu$SR and rf results.


title:
Radio observations of NGC 2808 and other globular clusters: constraints
  on intermediate mass black holes

abstract:
  We present the results of a deep radio observation of the globular cluster
NGC 2808. We show that there are no sources detected within the core of the
cluster, placing constraints on both the pulsar population of the cluster and
the mass of a possible intermediate mass black hole in NGC 2808. We compare the
results for this cluster with other constraints on intermediate mass black
holes derived from accretion measures. With the exception of G1 in M~31 which
has previously shown radio emission, even with considerably more conservative
assumptions, only the clusters with the poorest of observational constraints
are consistent with falling on the $M_{BH}-\sigma$ relation. This result is
interpreted in terms of the fundamental differences between galaxies and
globular clusters.


title: Radiation entropy bound from the second law of thermodynamics

abstract:
  It has been suggested heuristically by Unruh and Wald, and independently by
Page, that among systems with given energy and volume, thermal radiation has
the largest entropy. The suggestion leads to the corresponding universal bound
on entropy of physical systems. Using a gedanken experiment we show that the
bound follows from the second law of thermodynamics if the CPT symmetry is
assumed and a certain general condition on matter holds. The experiment
suggests that a wide class of Lorentz invariant local quantum field theories
obeys a bound on the density of states.


title: Measurement of the Underlying Event and Minimum Bias at LHC

abstract:
  A study of Underlying Events (UE) and Minimum Bias (MB) at Large Hadron
Collider (LHC)with CMS and ATLAS detector under nominal conditions is
discussed. Using charged particle and charged particle jets, it will be
possible to discriminate between various QCD models with different multiple
parton interaction schemes, which correctly reproduce Tevatron data but give
different predictions when extrapolated to the LHC energy. This will permit
improving and tuning Monte Carlo models at LHC start-up, and opens prospects
for exploring QCD dynamics in proton-proton collisions at 14TeV.


title: Self-accelerating solutions in the cascading DGP braneworld

abstract:
  The self-accelerating branch of the Dvali-Gabadadze-Porrati (DGP)
five-dimensional braneworld has provided a compelling model for the current
cosmic acceleration. Recent observations, however, have not favored it so much.
We discuss the solutions which contain a de Sitter 3-brane in the cascading DGP
braneworld model, which is a kind of higher-dimensional generalizations of the
DGP model,where a $p$-dimensional brane is placed on a $(p+1)$-dimensional one
and the $p$-brane action contains the $(p+1)$-dimensional induced scalar
curvature term. In the simplest six-dimensional model, we derive the solutions.
Our solutions can be classified into two branches, which reduce to the
self-accelerating and normal solutions in the limit of the original
five-dimensional DGP model. In the presence of the six-dimensional bulk
gravity, the `normal' branch provides a new self-accelerating solution. The
expansion rate of this new branch is generically lower than that of the
original one, which may alleviate the fine-tuning problem.


title: Morrey Spaces and Fractional Integral Operators

abstract:
  The present paper is devoted to the boundedness of fractional integral
operators in Morrey spaces defined on quasimetric measure spaces. In
particular, Sobolev, trace and weighted inequalities with power weights for
potential operators are established. In the case when measure satisfies the
doubling condition the derived conditions are simultaneously necessary and
sufficient for appropriate inequalities.


title: Local Heterotic Torsional Models

abstract:
  We present a class of smooth supersymmetric heterotic solutions with a
non-compact Eguchi-Hanson space. The non-compact geometry is embedded as the
base of a six-dimensional non-Kahler manifold with a non-trivial torus fiber.
We solve the non-linear anomaly equation in this background exactly. We also
define a new charge that detects the non-Kahlerity of our solutions.


title: Ultra-High Energy Cosmic Rays, Spiral galaxies and Magnetars

abstract:
  We measure the correlation between the arrival directions of the highest
energy cosmic rays detected by the Pierre Auger Observatory with the position
of the galaxies in the HI Parkes All Sky Survey (HIPASS) catalogue, weighted
for their HI flux and Auger exposure. The use of this absorption-free
catalogue, complete also along the galactic plane, allows us to use all the
Auger events. The correlation is significant, being 86.2% for the entire sample
of HI galaxies, and becoming 99% when considering the richest galaxies in HI
content, or 98% with those lying between 40-55. We interpret this result as the
evidence that spiral galaxies are the hosts of the producers of UHECR and we
briefly discuss classical (i.e energetic and distant) long Gamma Ray Burst
(GRBs), short GRBs, as well as newly born or late flaring magnetars as possible
sources of the Auger events. With the caveat that these events are still very
few, and that the theoretical uncertainties are conspicuous, we found that
newly born magnetars are the best candidates. If so, they could also be
associated with sub-energetic, spectrally soft, nearby, long GRBs. We finally
discuss why there is a clustering of Auger events in the direction on the
radio-galaxy Cen A and an absence of events in the direction of the
radio-galaxy M87.


title:
Phylogenetic Profiles as a Unified Framework for Measuring Protein
  Structure, Function and Evolution

abstract:
  The sequence of amino acids in a protein is believed to determine its native
state structure, which in turn is related to the functionality of the protein.
In addition, information pertaining to evolutionary relationships is contained
in homologous sequences. One powerful method for inferring these sequence
attributes is through comparison of a query sequence with reference sequences
that contain significant homology and whose structure, function, and/or
evolutionary relationships are already known. In spite of decades of concerted
work, there is no simple framework for deducing structure, function, and
evolutionary (SF&E) relationships directly from sequence information alone,
especially when the pair-wise identity is less than a threshold figure ~25%
[1,2]. However, recent research has shown that sequence identity as low as 8%
is sufficient to yield common structure/function relationships and sequence
identities as large as 88% may yet result in distinct structure and function
[3,4]. Starting with a basic premise that protein sequence encodes information
about SF&E, one might ask how one could tease out these measures in an unbiased
manner. Here we present a unified framework for inferring SF&E from sequence
information using a knowledge-based approach which generates phylogenetic
profiles in an unbiased manner. We illustrate the power of phylogenetic
profiles generated using the Gestalt Domain Detection Algorithm Basic Local
Alignment Tool (GDDA-BLAST) to derive structural domains, functional
annotation, and evolutionary relationships for a host of ion-channels and human
proteins of unknown function. These data are in excellent accord with published
data and new experiments. Our results suggest that there is a wealth of
previously unexplored information in protein sequence.


title: Ad-hoc Limited Scale-Free Models for Unstructured Peer-to-Peer Networks

abstract:
  Several protocol efficiency metrics (e.g., scalability, search success rate,
routing reachability and stability) depend on the capability of preserving
structure even over the churn caused by the ad-hoc nodes joining or leaving the
network. Preserving the structure becomes more prohibitive due to the
distributed and potentially uncooperative nature of such networks, as in the
peer-to-peer (P2P) networks. Thus, most practical solutions involve
unstructured approaches while attempting to maintain the structure at various
levels of protocol stack. The primary focus of this paper is to investigate
construction and maintenance of scale-free topologies in a distributed manner
without requiring global topology information at the time when nodes join or
leave. We consider the uncooperative behavior of peers by limiting the number
of neighbors to a pre-defined hard cutoff value (i.e., no peer is a major hub),
and the ad-hoc behavior of peers by rewiring the neighbors of nodes leaving the
network. We also investigate the effect of these hard cutoffs and rewiring of
ad-hoc nodes on the P2P search efficiency.


title:
Mott-Hubbard gap closure and structural phase transition in the
  oxyhalides TiOBr and TiOCl under pressure

abstract:
  Pressure-dependent transmittance and reflectance spectra of TiOBr and TiOCl
single crystals at room temperature suggest the closure of the Mott-Hubbard
gap, i.e., the gap is filled with additional electronic states extending down
to the far-infrared range. According to pressure-dependent x-ray powder
diffraction data the gap closure coincides with a structural phase transition.
The transition in TiOBr occurs at slightly lower pressure ($p$=14 GPa) compared
to TiOCl ($p$=16 GPa) under hydrostatic conditions, which is discussed in terms
of the chemical pressure effect. The results of pressure-dependent
transmittance measurements on TiOBr at low temperatures reveal similar effects
at 23 K, where the compound is in the spin-Peierls phase at ambient pressure.


title: Measuring Value in Healthcare

abstract:
  A statistical description and model of individual healthcare expenditures in
the US has been developed for measuring value in healthcare. We find evidence
that healthcare expenditures are quantifiable as an infusion-diffusion process,
which can be thought of intuitively as a steady change in the intensity of
treatment superimposed on a random process reflecting variations in the
efficiency and effectiveness of treatment. The arithmetic mean represents the
net average annual cost of healthcare; and when multiplied by the arithmetic
standard deviation, which represents the effective risk, the result is a
measure of healthcare cost control. Policymakers, providers, payors, or
patients that decrease these parameters are generating value in healthcare. The
model has an average absolute prediction error of approximately 10-12% across
the range of expenditures which spans 6 orders of magnitude over a nearly
10-year period. For the top 1% of the population with the largest expenditures,
representing 20%-30% of total spending on healthcare, a power-law relationship
emerges. This relationship also applies to the most expensive medical
conditions in the US. A fundamental connection between healthcare expenditures
and mathematical finance is found by showing that the process healthcare
expenditures follow is similar to a widely used model for managing financial
assets, leading to the conclusion that a combination of these two fields may
yield useful results.


title:
Uncertainties and shortcomings of ground surface temperature histories
  derived from inversion of temperature logs

abstract:
  Analysing borehole temperature data in terms of ground surface history can
add useful information to reconstructions of past climates. Therefore, a
rigorous assessment of uncertainties and error sources is a necessary
prerequisite for the meaningful interpretation of such ground surface
temperature histories. This study analyses the most prominent sources of
uncertainty. The diffusive nature of the process makes the inversion relatively
robust against incomplete knowledge of the thermal diffusivity. Similarly the
influence of heat production is small. It turns out that for investigations of
the last 1000 to 100000 years the maximum depth of the temperature log is
crucial. More than 3000 m are required for an optimal inversion.
Reconstructions of the last one or two millennia require only modestly deep
logs (>300 m) but suffer severely from noisy data.


title: Thermal Conductivity from Core and Well log Data

abstract:
  The relationships between thermal conductivity and other petrophysical
properties have been analysed for a borehole drilled in a Tertiary Flysch
sequence. We establish equations that permit us to predict rock thermal
conductivity from logging data. A regression analysis of thermal conductivity,
bulk density, and sonic velocity yields thermal conductivity with an average
accuracy of better than 0.2 W/(m K). As a second step, logging data is used to
compute a lithological depth profile, which in turn is used to calculate a
thermal conductivity profile. From a comparison of the conductivity-depth
profile and the laboratory data it can be concluded that thermal conductivity
can be computed with an accuracy of less than 0.3 W/(m K)from conventional
wireline data. The comparison of two different models shows that this approach
can be practical even if old and incomplete logging data is used. The results
can be used to infer thermal conductivity for boreholes without appropriate
core data that are drilled in a similar geological setting.


title: The Borexino detector at the Laboratori Nazionali del Gran Sasso

abstract:
  Borexino, a large volume detector for low energy neutrino spectroscopy, is
currently running underground at the Laboratori Nazionali del Gran Sasso,
Italy. The main goal of the experiment is the real-time measurement of sub MeV
solar neutrinos, and particularly of the mono energetic (862 keV) Be7 electron
capture neutrinos, via neutrino-electron scattering in an ultra-pure liquid
scintillator. This paper is mostly devoted to the description of the detector
structure, the photomultipliers, the electronics, and the trigger and
calibration systems. The real performance of the detector, which always meets,
and sometimes exceeds, design expectations, is also shown. Some important
aspects of the Borexino project, i.e. the fluid handling plants, the
purification techniques and the filling procedures, are not covered in this
paper and are, or will be, published elsewhere (see Introduction and
Bibliography).


title: Fun with $\F_1$

abstract:
  We show that the algebra and the endomotive of the quantum statistical
mechanical system of Bost--Connes naturally arises by extension of scalars from
the "field with one element" to rational numbers. The inductive structure of
the abelian part of the endomotive corresponds to the tower of finite
extensions of that "field", while the endomorphisms reflect the Frobenius
correspondences. This gives in particular an explicit model over the integers
for this endomotive, which is related to the original Hecke algebra
description. We study the reduction at a prime of the endomotive and of the
corresponding noncommutative crossed product algebra.


title:
Late Gas accretion onto Primordial Minihalos: a Model for Leo T, Dark
  Galaxies and Extragalactic High-Velocity Clouds

abstract:
  In this letter we revisit the idea of reionization feedback on dwarf galaxy
formation. We show that primordial minihalos with v_cir<20 km/s stop accreting
gas after reionization, as it is usually assumed, but in virtue of their
increasing concentration and the decreasing temperature of the intergalactic
medium as redshift decreases below z=3, they have a late phase of gas accretion
and possibly star formation. We expect that pre-reionization fossils that
evolved on the outskirts of the Milky Way or in isolation show a bimodal star
formation history with 12 Gyr old and <10 Gyr old population of stars. Leo T
fits with this scenario. Another prediction of the model is the possible
existence of a population of gas rich minihalos that never formed stars. More
work is needed to understand whether a subset of compact high-velocity clouds
can be identified as such objects or whether an undiscovered population exists
in the voids between galaxies.


title:
Asymptotic series for the splitting of separatrices near a Hamiltonian
  bifurcation

abstract:
  This is a proof of an asymptotic formula which describes exponentially small
splitting of separatrices in a generic analytic family of area-preserving maps
near a Hamiltonian saddle-centre bifurcation. As a particular case and in
combination with an earlier work on a Stokes constant for the H\'enon map
(Gelfreich, Sauzin (2001)), it implies exponentially small transversality of
separatrices in the area-preserving H\'enon family when the multiplicator of
the fixed point is close to one.


title:
Algebraic Bethe Ansatz for U(1) Invariant Integrable Models: The Method
  and General Results

abstract:
  In this work we have developed the essential tools for the algebraic Bethe
ansatz solution of integrable vertex models invariant by a unique U(1) charge
symmetry. The formulation is valid for arbitrary statistical weights and
respective number $N$ of edge states. We show that the fundamental commutation
rules between the monodromy matrix elements are derived by solving linear
systems of equations. This makes possible the construction of the transfer
matrix eigenstates by means of a new recurrence relation depending on $N-1$
distinct types of creation fields. The necessary identities to solve the
eigenvalue problem are obtained exploring the unitarity property and the
Yang-Baxter equation satisfied by the $R$-matrix. The on-shell and off-shell
properties of the algebraic Bethe ansatz are explicitly presented in terms of
the arbitrary $R$-matrix elements. This includes the transfer matrix
eigenvalues, the Bethe ansatz equations and the structure of the vectors not
parallel to the eigenstates.


title: Star Formation and Merging in Massive Galaxies at z < 2

abstract:
  Observing massive galaxies at various redshifts is one of the most
straightforward and direct approaches towards understanding galaxy formation.
There is now largely a consensus that the massive galaxy (M_* > 10^11 M_0)
population is fully formed by z~1, based on mass and luminosity functions.
However, we argue that the latest data can only rule out number and mass
density evolution of a factor of > 2-3 at z < 1.5. We furthermore show that the
star formation history of M_* > 10^11 M_0 galaxies reveals that 40+/-5% of
galaxies with M_* > 10^11 M_0 at z~1 are undergoing star formation that
effectively doubles their stellar mass between z = 0.4 - 1.4. These massive
galaxies also undergo 0.9^+0.7_-0.5 major mergers during this same time period.


title:
Magneto-thermal condensation modes including the effects of charged dust
  particles

abstract:
  We study thermal instability in a magnetized and partially ionized plasma
with charged dust particles. Our linear analysis shows that the growth rate of
the unstable modes in the presence of dust particles strongly depends on the
ratio of the cooling rate and the modified dust-cyclotron frequency. If the
cooling rate is less than the modified dust-cyclotron frequency, then growth
rate of the condensation modes does not modify due to the existence of the
charged dust particles. But when the cooling rate is greater than (or
comparable to) the modified dust-cyclotron frequency, the growth rate of
unstable modes increases because of the dust particles. Also, wavenumber of the
perturbations corresponding to the maximum growth rate shifts to the smaller
values (larger wavelengths) as the cooling rate becomes larger than the
modified dust-cyclotron frequency. We show that growth rate of the condensation
modes increases with the electrical charge of the dust particles.


title: Signature splitting in $^{173}$W with triaxial particle rotor model

abstract:
  A particle rotor model with a quasi-neutron coupled with a triaxially
deformed rotor is applied to study signature splitting for bands with intruder
orbital $\nu7/2^{+} [633]$ and non-intruder orbital $\nu5/2^{-}[512]$ in
$^{173}$W. Excellent agreement with the observed energy spectra has been
achieved for both bands. Signature splitting for band $\nu7/2^{+} [633]$, and
band $\nu5/2^{-}[512]$ before the onset of signature inversion, is
satisfactorily reproduced by introducing the $\gamma$ degree of freedom. The
phase and amplitude of signature splitting in band $\nu5/2^{-}[512]$ is
attributed to strong competition between $2f_{7/2}$ and $1h_{9/2}$ components.
However, the explanation of signature inversion in band $\nu5/2^{-}[512]$
self-consistently is beyond the present one quasi-neutron coupled with a
triaxially deformed rotor.


title:
Effect of high-intensity ultrasound on superconducting properties of
  polycrystalline YBCO

abstract:
  High intensity ultrasonic irradiation (sonication) of alkane slurries of
polycrystalline \ybco leads to a significant modification of the grain
morphology and, if performed with enforced oxygen flow, results in the increase
of the superconducting transition temperature. Sonication with added Fe(CO)$_5$
produces magnetic \fe2o3 nanoparticles deposited on the surface of \ybco (YBCO)
granules. Upon sintering these nanoparticles should act as efficient pinning
centers utilizing both condensation and magnetic contributions to the free
energy. The developed method could become a major technique to produce
practically useful high-pinning nanocomposite materials based on \ybco
superconductor.


title: Topology and Geometry of Smectic Order on Compact Curved Substrates

abstract:
  Smectic order on arbitrary curved substrate can be described by a
differential form of rank one (1-form), whose geometric meaning is the
differential of the local phase field of the density modulation. The exterior
derivative of 1-form is the local dislocation density. Elastic deformations are
described by superposition of exact differential forms. We use the formalism of
differential forms to systematically classify and characterize all low energy
smectic states on torus as well as on sphere. A two dimensional smectic order
confined on either manifold exhibits many topologically distinct low energy
states. Different states are not accessible from each other by local
fluctuations. The total number of low energy states scales as the square root
of the system area. We also address the energetics of 2D smectic on a curved
substrate and calculate the mean field phase diagram of smectic on a thin
torus. Finally, we discuss the motion of disclinations for spherical smectics
as low energy excitations, and illustrate the interesting connection between
spherical smectic and the theory of elliptic functions.


title: AMAZE. I. The evolution of the mass-metallicity relation at z>3

abstract:
  We present initial results of an ESO-VLT large programme (AMAZE) aimed at
determining the evolution of the mass-metallicity relation at z>3 by means of
deep near-IR spectroscopy. Gas metallicities are measured, for an initial
sample of nine star forming galaxies at z~3.5, by means of optical nebular
lines redshifted into the near-IR. Stellar masses are accurately determined by
using Spitzer-IRAC data, which sample the rest-frame near-IR stellar light in
these distant galaxies. When compared with previous surveys, the
mass-metallicity relation inferred at z~3.5 shows an evolution much stronger
than observed at lower redshifts. The evolution is prominent even in massive
galaxies, indicating that z~3 is an epoch of major action in terms of star
formation and metal enrichment also for massive systems. There are also
indications that the metallicity evolution of low mass galaxies is stronger
relative to high mass systems, an effect which can be considered the chemical
version of the galaxy downsizing. The mass-metallicity relation observed at
z~3.5 is difficult to reconcile with the predictions of some hierarchical
evolutionary models. Such discrepancies suggest that at z>3 galaxies are
assembled mostly with relatively un-evolved sub-units, i.e. small galaxies with
low star formation efficiency. The bulk of the star formation and metallicity
evolution probably occurs once small galaxies are already assembled into bigger
systems.


title: On the shock wave spectrum for isentropic gas dynamics with capillarity

abstract:
  We consider the stability problem for shock layers in Slemrod's model of an
isentropic gas with capillarity. We show that these traveling waves are
monotone in the weak capillarity case, and become highly oscillatory as the
capillarity strength increases. Using a spectral energy estimate we prove that
small-amplitude monotone shocks are spectrally stable. We also show, through
the use of a novel spectral energy estimate, that monotone shocks have no
unstable real spectrum regardless of amplitude; this implies that any
instabilities of these monotone traveling waves, if they exist, must occur
through a Hopf-like bifurcation, where one or more conjugate pairs of
eigenvalues cross the imaginary axis. We then conduct a systematic numerical
Evans function study, which shows that monotone and mildly oscillatory profiles
in an adiabatic gas are spectrally stable for moderate values of shock and
capillarity strengths. In particular, we show that the transition from monotone
to non-monotone profiles does not appear to trigger any instabilities.


title: Compactly supported cohomology of buildings

abstract:
  We compute the compactly supported cohomology of the standard realization of
any locally finite building.


title: Growing length scale in gravity-driven dense granular flow

abstract:
  We report simulations of a two-dimensional, dense, bidisperse system of
inelastic hard disks falling down a vertical tube under the influence of
gravity. We examine the approach to jamming as the average flow of particles
down the tube is slowed by making the outlet narrower. Defining coarse-grained
velocity and stress fields, we study two-point temporal and spatial correlation
functions of these fields in a region of the tube where the time-averaged
velocity is spatially uniform. We find that fluctuations in both velocity and
stress become increasingly correlated as the system approaches jamming. We
extract a growing length scale and time scale from these correlations.


title: Canonical RNA pseudoknot structures

abstract:
  In this paper we study $k$-noncrossing, canonical RNA pseudoknot structures
with minimum arc-length $\ge 4$. Let ${\sf T}_{k,\sigma}^{[4]} (n)$ denote the
number of these structures. We derive exact enumeration results by computing
the generating function ${\bf T}_{k,\sigma}^{[4]}(z)= \sum_n{\sf
T}_{k,\sigma}^{[4]}(n)z^n$ and derive the asymptotic formulas ${\sf
T}_{k,3}^{[4]}(n)^{}\sim c_k n^{-(k-1)^2-\frac{k-1}{2}}
(\gamma_{k,3}^{[4]})^{-n}$ for $k=3,...,9$. In particular we have for $k=3$,
${\sf T}_{3,3}^{[4]}(n)^{}\sim c_3 n^{-5} 2.0348^n$. Our results prove that the
set of biophysically relevant RNA pseudoknot structures is surprisingly small
and suggest a new structure class as target for prediction algorithms.


title: Constraints on Dark Energy Models from Weak Gravity Conjecture

abstract:
  We study the constraints on the dark energy model with constant equation of
state parameter $w=p/\rho$ and the holographic dark energy model by using the
weak gravity conjecture. The combination of weak gravity conjecture and the
observational data gives $w<-0.7$ at the $3\sigma$ confidence level. The
holographic dark energy model realized by a scalar field is in swampland.


title:
Quantum mechanical complementarity probed in a closed-loop Aharonov-Bohm
  interferometer

abstract:
  According to Bohr's complementarity principle, a particle possesses wave-like
properties only when the different paths the particle may take are
indistinguishable. In a canonical example of a two-path interferometer with a
which-path detector, observation of interference and obtaining which-path
information are mutually exclusive. Such duality has been demonstrated in
optics with a pair of correlated photons and in solid-state devices with
phase-coherent electrons. In the latter case, which-path information was
provided by a charge detector embedded near one path of a two-path electron
interferometer. Note that suppression of interference can always be understood
either as obtaining path information or as unavoidable back action by the
detector. The present study reports on dephasing of an Aharonov-Bohm (AB) ring
interferometer via a coupled charge detector adjacent to the ring. In contrast
to the two-path interferometer, charge detection in the ring does not always
provide path information. Indeed, we found that the interference was suppressed
only when path information could be acquired, even if only in principle. This
demonstrates that dephasing does not always take place by coupling the
`environment' to the interfering particle: path information of the particle
must be available too. Moreover, this is valid regardless of the strength of
environment-interferometer coupling, which refutes the general notion of the
effect of strong interaction with the environment. In other words, it verifies
that an acquisition of which-path information is more fundamental than the
back-action in understanding quantum mechanical complementarity.


title:
Sharp logarithmic Sobolev inequalities on gradient solitons and
  applications

abstract:
  We show that gradient shrinking, expanding or steady Ricci solitons have
potentials leading to suitable reference probability measures on the manifold.
For shrinking solitons, as well as expanding soltions with nonnegative Ricci
curvature, these reference measures satisfy sharp logarithmic Sobolev
inequalities with lower bounds characterized by the geometry of the manifold.
The geometric invariant appearing in the sharp lower bound is shown to be
nonnegative. We also characterize the expanders when such invariant is zero. In
the proof various useful volume growth estimates are also established for
gradient shrinking and expanding solitons. In particular, we prove that the
{\it asymptotic volume ratio} of any gradient shrinking soliton with
nonnegative Ricci curvature must be zero.


title: Quintom dark energy in DGP braneworld cosmology

abstract:
  In this paper we consider a $Z_2$ symmetrical 3-brane embedded in a
5-dimensional spacetime. We study the effective Einstein equation and
acceleration condition in presence of the quintom dark energy fluid as the bulk
matter field. It is shown that the time-dependent bulk quintom field induces a
time-dependent cosmological constant on the brane. In the framework of the DGP
model, the effective Einstein equation is obtained in two different cases: i)
where the quintom field is considered as the bulk matter field and the brane is
empty and, ii) where the quintom dark energy is confined on the brane and the
bulk is empty. We show that in both cases one could obtain a self-inflationary
solution at late time in positive branch $\epsilon=1$, and an asymptotically
static universe in negative branch $\epsilon=-1$.


title:
Observation time to first detection of double neutron star mergers by
  gravitational wave observatories

abstract:
  We constrain the uncertainty in waiting times for detecting the first
double-neutron-star (DNS) mergers by gravitational wave observatories. By
accounting for the Poisson fluctuations in the rate density of DNS mergers and
galaxy space density inhomogeneity in the local Universe, we define a detection
`zone' as a region in a parameter space constrained by the double neutron star
merger rate and two LIGO operations parameters: an observation horizon distance
and science run duration. Assuming a mean rate of about 80 DNS mergers per
Milky Way galaxy Myr^{-1}, we find a 1/20 chance of observing a merger by
Enhanced LIGO in only 1 yr of observation. The minimum waiting time and
temporal zone width for an Advanced LIGO sensitivity are much shorter and imply
that there is a 95% probability of detecting a DNS merger in less than 60 days
and a 1/20 chance of a first detection in about 1 day. At the 5% probability
threshold for a first detection, we find that the effect of galaxy clusters on
detection is smoothed out and may only influence detection rates after 5-10
years observation time.


title: Quantization of enlarged Bianchi I universe

abstract:
  We can solve the Wheeler-DeWitt equation of the enlarged Bianchi I as
inhomogeneous type universe with static restriction which had been derived by
previous paper. We consider the commutation relation between the static
restriction and the Hamiltonian constraint. And we can simplify the usual 3+1
Hamiltonian constraint of the enlarged Biancki I type universe, and we finally
show the state's form is the exponential. And we find that the states of the
quantum gravity are entangled. Our paper based on the previous work of ours
that we call up-to-down method which was aimed to simplify the Wheeler-DeWitt
equation.


title: Dominating Sets in Plane Triangulations

abstract:
  In 1996, Matheson and Tarjan conjectured that any n-vertex triangulation with
n sufficiently large has a dominating set of size at most n/4. We prove this
for graphs of maximum degree 6.


title: Anisotropic Inflation from Vector Impurity

abstract:
  We study an inflationary scenario with a vector impurity. We show that the
universe undergoes anisotropic inflationary expansion due to a preferred
direction determined by the vector. Using the slow-roll approximation, we find
a formula to determine anisotropy of the inflationary universe. We discuss
possible observable predictions of this scenario. In particular, it is stressed
that primordial gravitational waves can be induced from curvature
perturbations. Hence, even in low scale inflation, a sizable amount of
primordial gravitational waves may be produced during inflation.


title:
Newman-Penrose formalism in higher dimensions: vacuum spacetimes with a
  non-twisting geodetic multiple Weyl aligned null direction

abstract:
  Vacuum spacetimes admitting a non-twisting geodetic multiple Weyl aligned
null direction (WAND) are analyzed in arbitrary dimension using recently
developed higher-dimensional Newman-Penrose (NP) formalism. We determine
dependence of the metric and of the Weyl tensor on the affine parameter r along
null geodesics generated by the WAND for type III and N spacetimes and for a
special class of type II and D spacetimes, containing e.g.
Schwarzschild-Tangherlini black holes and black strings and branes.
  For types III and N, all metric components are at most quadratic polynomials
in r while for types II and D the r-dependence of the metric as well as of the
Weyl tensor is determined by an integer m corresponding to the rank of the
expansion matrix S_{ij}. It is shown that for non-vanishing expansion, all
these spacetimes contain a curvature singularity.
  As an illustrative example, a shearing expanding type N five-dimensional
vacuum solution is also re-derived using higher-dimensional NP formalism. This
solution can be, however, identified with a direct product of a known
four-dimensional type N metric with an extra dimension.


title:
Developing Bayesian Information Entropy-based Techniques for Spatially
  Explicit Model Assessment

abstract:
  The aim of this paper is to explore and develop advanced spatial Bayesian
assessment methods and techniques for land use modeling. The paper provides a
comprehensive guide for assessing additional informational entropy value of
model predictions at the spatially explicit domain of knowledge, and proposes a
few alternative metrics and indicators for extracting higher-order information
dynamics from simulation tournaments. A seven-county study area in
South-Eastern Wisconsin (SEWI) has been used to simulate and assess the
accuracy of historical land use changes (1963-1990) using artificial neural
network simulations of the Land Transformation Model (LTM). The use of the
analysis and the performance of the metrics helps: (a) understand and learn how
well the model runs fits to different combinations of presence and absence of
transitions in a landscape, not simply how well the model fits our given data;
(b) derive (estimate) a theoretical accuracy that we would expect a model to
assess under the presence of incomplete information and measurement; (c)
understand the spatially explicit role and patterns of uncertainty in
simulations and model estimations, by comparing results across simulation runs;
(d) compare the significance or estimation contribution of transitional
presence and absence (change versus no change) to model performance, and the
contribution of the spatial drivers and variables to the explanatory value of
our model; and (e) compare measurements of informational uncertainty at
different scales of spatial resolution.


title:
Relations between invasion percolation and critical percolation in two
  dimensions

abstract:
  We study invasion percolation in two dimensions. We compare connectivity
properties of the origin's invaded region to those of (a) the critical
percolation cluster of the origin and (b) the incipient infinite cluster. To
exhibit similarities, we show that for any $k\geq1$, the $k$-point function of
the first so-called pond has the same asymptotic behavior as the probability
that $k$ points are in the critical cluster of the origin. More prominent,
though, are the differences. We show that there are infinitely many ponds that
contain many large disjoint $p_c$-open clusters. Further, for $k>1$, we compute
the exact decay rate of the distribution of the radius of the $k$th pond and
see that it differs from that of the radius of the critical cluster of the
origin. We finish by showing that the invasion percolation measure and the
incipient infinite cluster measure are mutually singular.


title: Estimation of conditional laws given an extreme component

abstract:
  Let $(X,Y)$ be a bivariate random vector. The estimation of a probability of
the form $P(Y\leq y \mid X >t) $ is challenging when $t$ is large, and a
fruitful approach consists in studying, if it exists, the limiting conditional
distribution of the random vector $(X,Y)$, suitably normalized, given that $X$
is large. There already exists a wide literature on bivariate models for which
this limiting distribution exists. In this paper, a statistical analysis of
this problem is done. Estimators of the limiting distribution (which is assumed
to exist) and the normalizing functions are provided, as well as an estimator
of the conditional quantile function when the conditioning event is extreme.
Consistency of the estimators is proved and a functional central limit theorem
for the estimator of the limiting distribution is obtained. The small sample
behavior of the estimator of the conditional quantile function is illustrated
through simulations.


title: Magnetic interactions of cold atoms with anisotropic conductors

abstract:
  We analyze atom-surface magnetic interactions on atom chips where the
magnetic trapping potentials are produced by current carrying wires made of
electrically anisotropic materials. We discuss a theory for time dependent
fluctuations of the magnetic potential, arising from thermal noise originating
from the surface. It is shown that using materials with a large electrical
anisotropy results in a considerable reduction of heating and decoherence rates
of ultra-cold atoms trapped near the surface, of up to several orders of
magnitude. The trap loss rate due to spin flips is expected to be significantly
reduced upon cooling the surface to low temperatures. In addition, the
electrical anisotropy significantly suppresses the amplitude of static spatial
potential corrugations due to current scattering within imperfect wires. Also
the shape of the corrugation pattern depends on the electrical anisotropy: the
preferred angle of the scattered current wave fronts can be varied over a wide
range. Materials, fabrication, and experimental issues are discussed, and
specific candidate materials are suggested.


title: Unbounded Induced Representations of *-Algebras

abstract:
  Induced representations of $\ast$-algebras by unbounded operators in Hilbert
space are investigated. Conditional expectations of a $\ast$-algebra $\cA$ onto
a unital $\ast$-subalgebra $\cB$ are introduced and used to define inner
products on the corresponding induced modules. The main part of the paper is
concerned with group graded $\ast$-algebras $\cA=\oplus_{g\in G}\cA_g$ for
which the *-subalgebra $\cB:=\cA_e$ is commutative. Then the canonical
projection $p:\cA\to\cB$ is a conditional expectation and there is a partial
action of the group $G$ on the set $\cBp$ of all characters of $\cB$ which are
nonnegative on the cone $\sum\cA^2\cap\cB.$ The complete Mackey theory is
developed for $\ast$-representations of $\cA$ which are induced from characters
of $\cBp.$ Systems of imprimitivity are defined and two versions of the
imprimitivity theorem are proved in this context. A concept is well-behaved
$\ast$-representations of such $\ast$-algebras $\cA$ is introduced and studied.
It is shown that well-behaved representations are direct sums of cyclic
well-behaved representations and that induced representations of well-behaved
representations are again well-behaved. The theory applies to a large variety
of examples. For important examples such as the Weyl algebra, enveloping
algebras of the Lie algebras $su(2),$ $su(1,1)$, and of the Virasoro algebra,
and $\ast$-algebras generated by dynamical systems our theory is carried out in
great detail.


title: Edge states for the n=0 Laudau level in graphene

abstract:
  In the anomalous quantum Hall effect (QHE), a hallmark of graphene, nature of
the edge states in magnetic fields poses an important question, since the edge
and bulk should be intimately related in QHE. Here we have theoretically
studied the edge states, focusing on the E=0 edge mode, which is unusual in
that the mode is embedded right within the n=0 bulk Landau level, while usual
QHE edge modes reside across adjacent Landau levels. Here we show that the n=0
Landau level, including the edge mode, has a wave function amplitude
accumulated along zigzag edges whose width scales with the magnetic length,
l_B. This contrasts with the usual QHE where the charge is depleted from the
edge. The implications are: (i) The E=0 edge states in strong magnetic fields
have a topological origin in the honeycomb lattice, so that they are outside
the continuum ("massless Dirac") model. (ii) The edge-mode contribution decays
only algebraically into the bulk, but this is "topologically" compensated by
the bulk contribution, resulting in the accumulation over l_B. (iii) The real
space behavior obtained here should be observable in STM experiments.


title: Sobolev $W^1_p$-spaces on closed subsets of $R^n$

abstract:
  For each $p>n$ we use local oscillations and doubling measures to give
intrinsic characterizations of the restriction of the Sobolev space
$W_p^1(R^n)$ to an arbitrary closed subset of $R^n$.


title:
Polynomial Hamiltonian system in two variables with
  $W({A}^{(1)}_1)$-symmetry and the second Painlev\'e hierarchy

abstract:
  We find a one-parameter family of polynomial Hamiltonian system in two
variables with $W({A}^{(1)}_1)$-symmetry. We also show that this system can be
obtained by the compatibility conditions for the linear differential equations
in three variables. We give a relation between it and the second member of the
second Painlev\'e hierarchy. Moreover, we give some relations between an
autonomous version of its polynomial Hamiltonian system in two variables and
the mKdV hierarchies.


title:
Tricritical transition in the classical XY model on Kagom\'e lattice
  under local anisotropy

abstract:
  Using mean-field theory and high resolution Monte Carlo simulation technique
based on multi-histogram method, we have investigated the critical properties
of an antiferromagnetic XY model on the 2D Kagom\'e lattice, with single ion
easy-axes anisotropy. The mean-field theory predicts second-order phase
transition from disordered to all-in all-out state for any value of anisotropy
for this model. However, Monte Carlo simulations result in first order
transition for small values of anisotropy which turns to second order with
increasing strength of anisotropy, indicating the existence of a tricritical
point for this model. The critical exponents, obtained by finite-size scaling
methods, show that the transition is in Ising universality class for large
values of anisotropy, while the critical behaviour of the system deviates from
2D-$\phi^6$ model near the tricritical point. This suggests the possibility for
existence of a new tricritical universality in two-dimensions.


title: Well-posedness of the water-wave problem with surface tension

abstract:
  In this paper, we prove the local well-posedness of the water wave problem
with surface tension in the case of finite depth by working in the Eulerian
setting. For the flat bottom, as surface tension tends to zero, the solution of
the water wave problem with surface tension converges to the solution of the
water wave problem without surface tension.


title: Representation theory for vector electromagnetic beams

abstract:
  A representation theory of finite electromagnetic beams in free space is
formulated by factorizing the field vector of the plane-wave component into a
$3 \times 2$ mapping matrix and a 2-component Jones-like vector. The mapping
matrix has one degree of freedom that can be described by the azimuthal angle
of a fixed unit vector with respect to the wave vector. This degree of freedom
allows us to find out such a beam solution in which every plane-wave component
is specified by the same fixed unit vector $\mathbf{I}$ and has the same
normalized Jones-like vector. The angle $\theta_I$ between the fixed unit
vector and the propagation axis acts as a parameter that describes the
vectorial property of the beam. The impact of $\theta_I$ is investigated on a
beam of angular-spectrum field scalar that is independent of the azimuthal
angle. The field vector in position space is calculated in the first-order
approximation under the paraxial condition. A transverse effect is found that a
beam of elliptically-polarized angular spectrum is displaced from the center in
the direction that is perpendicular to the plane formed by the fixed unit
vector and the propagation axis. The expression of the transverse displacement
is obtained. Its paraxial approximation is also given.


title:
The relation between black hole masses and Lorentz factors of the jet
  components in blazars

abstract:
  We explore the relation between black hole mass ($M_{\rm BH}$) and the motion
of the jet components for a sample of blazars. The Very Long Baseline Array
(VLBA) 2cm Survey and its continuation: Monitoring of Jets in active galactic
nuclei (AGNs) with VLBA Experiments (MOJAVE) have observed 278 radio-loud AGNs,
of which 146 blazars have reliable measurements on their apparent velocities of
jet components. We calculate the minimal Lorentz factors for these sources from
their measured apparent velocities, and their black hole masses are estimated
with their broad-line widths. A significant intrinsic correlation is found
between black hole masses and the minimal Lorentz factors of the jet
components, which the Eddington ratio is only weakly correlated with the
minimal Lorentz factor, which may imply that the Blandford-Znajek (BZ)
mechanism may dominate over the Blandford-Payne (BP) mechanism for the jet
acceleration (at least) in blazars.


title: The Thermodynamic Limit of Quantum Coulomb Systems: A New Approach

abstract:
  We present two recent works on the thermodynamic limit of quantum Coulomb
systems, in which we provided a general method allowing to show the existence
of the limit for many different models.


title: Phase diagram of Holstein-Kondo lattice model at half-filling

abstract:
  We study the Kondo lattice model which is modified by the Holstein term,
involving both the Kondo exchange coupling and the electron-phonon coupling
constants, characterized by $J$ and $g$, respectively. The model is solved by
employing the dynamical mean-field theory in conjunction with exact
diagonalization technique. A zero temperature phase diagram of symmetry
unbroken states at half filling is mapped out which exhibits an interplay
between the two interactions and accounts for both spin and charge
fluctuations. When the Kondo exchange coupling is dominant the system is in
Kondo insulator state. Increasing $g$ for small values of $J$ leads to a Kondo
insulator-metal transition. Upon further enhancement of $g$ a transition to the
bipolaronic insulating phase takes place. Also a small region with non-Fermi
liquid behavior is found near the Kondo insulator-metal transition.


title: A search for chameleon particles using a photon regeneration technique

abstract:
  We report the first results from the GammeV search for chameleon particles,
which may be created via photon-photon interactions within a strong magnetic
field. Chameleons are hypothesized scalar fields that could explain the dark
energy problem. We implement a novel technique to create and trap the
reflective particles within a jar and to detect them later via their afterglow
as they slowly convert back into photons. These measurements provide the first
experimental constraints on the couplings of chameleons to photons.


title:
Stochastic acceleration of solitons for the nonlinear Schr\"odinger
  equation

abstract:
  The effective dynamics of solitons for the generalized nonlinear
Schr\"odinger equation in a random potential is rigorously studied. It is shown
that when the external potential varies slowly in space compared to the size of
the soliton, the dynamics of the center of the soliton is almost surely
described by Hamilton's equations for a classical particle in the random
potential, plus error terms due to radiation damping. Furthermore, a limit
theorem for the dynamics of the center of mass of the soliton in the
weak-coupling and space-adiabatic limit is proven in two and higher dimensions:
Under certain mixing hypotheses for the potential, the momentum of the center
of mass of the soliton converges in law to a diffusion process on a sphere of
constant momentum. Moreover, in three and higher dimensions, the trajectory of
the center of mass of the soliton converges to a spatial Brownian motion.


title: New Charmonium-Like States at Babar and Belle

abstract:
  BaBar and Belle have recently revived the interest in charmonium
spectroscopy, discovering many unexpected resonances. In this review, I'll
focus mostly on the states found in B decays and double $\ccbar$. A better
understanding of their production mechanism can help to discriminate among
models, confirm tentative $J^{PC}$ assignments, and clarify the overall
picture.


title: Black hole quantum tunnelling and black hole entropy correction

abstract:
  Parikh-Wilczek tunnelling framework, which treats Hawking radiation as a
tunnelling process, is investigated again. As the first order correction, the
log-corrected entropy-area relation naturally emerges in the tunnelling picture
if we consider the emission of a spherical shell. The second order correction
of the emission rate for the Schwarzschild black hole is calculated too. In
this level, the result is still in agreement with the unitary theory, however,
the entropy of the black hole will contain three parts: the usual
Bekenstein-Hawking entropy, the logarithmic term and the inverse area term. In
our results the coefficient of the logarithmic term is -1. Apart from a
coefficient, Our correction to the black hole entropy is consistent with that
of loop quantum gravity.


title:
Observation of a push force on the end face of a nm fiber taper exerted
  by outgoing light

abstract:
  There are two different proposals for the momentum of light in a transparent
dielectric of refractive index n: Minkowski's version nE/c and Abrahm's version
E/(nc), where E and c are the energy and vacuum speed of light, respectively.
Despite many tests and debates over nearly a century, momentum of light in a
transparent dielectric remains controversial. In this Letter, we report a
direct observation of the inward push force on the end face of a free nm fiber
taper exerted by the outgoing light. Our results clearly support Abraham
momentum. Our experiment also indicates an inward surface pressure on a
dielectric exerted by the incident light, different from the commonly
recognized pressure due to the specular reflection. Such an inward surface
pressure by the incident light may be useful for precise design of the
laser-induced inertially-confined fusion.


title: Detrimental Decoherence

abstract:
  We propose and discuss two conjectures on the nature of information leaks
(decoherence) for quantum computers. These conjectures, if (or when) they hold,
are damaging for quantum error-correction as required by fault-tolerant quantum
computation.
  The first conjecture asserts that information leaks for a pair of
substantially entangled qubits are themselves substantially positively
correlated.
  The second conjecture asserts that in a noisy quantum computer with highly
entangled qubits there will be a strong effect of error synchronization.
  We present more general conjectures for arbitrary noisy quantum systems.


title: Detrended fluctuation analysis of intertrade durations

abstract:
  The intraday pattern, long memory, and multifractal nature of the intertrade
durations, which are defined as the waiting times between two consecutive
transactions, are investigated based upon the limit order book data and order
flows of 23 liquid Chinese stocks listed on the Shenzhen Stock Exchange in
2003. An inverse $U$-shaped intraday pattern in the intertrade durations with
an abrupt drop in the first minute of the afternoon trading is observed. Based
on the detrended fluctuation analysis, we find a crossover of power-law scaling
behaviors for small box sizes (trade numbers in boxes) and large box sizes and
strong evidence in favor of long memory in both regimes. In addition, the
multifractal nature of intertrade durations in both regimes is confirmed by a
multifractal detrended fluctuation analysis for individual stocks with a few
exceptions in the small-duration regime. The intraday pattern has little
influence on the long memory and multifractaility.


title: Pauli-limited upper critical field in dirty d-wave superconductors

abstract:
  We calculate the Pauli-limited upper critical field and the
Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) instability for {\it dirty} d-wave
superconductors within the quasiclassical theory using the self-consistent
$\hat{t}$-matrix approximation for impurities. We find that the phase diagram
depends sensitively on the scattering rate and phase shift of nonmagnetic
impurities. The transition into the superconducting state is always second
order for weak (Born) scattering, while in the unitarity (strong) scattering
limit a first-order transition into both uniform and spatially modulated
superconducting states is stabilized. Contrary to general belief, we find that
the FFLO phase is robust against disorder and survives impurity scattering
equivalent to a $T_c$ suppression of roughly 40%. Our results bear on the
search of FFLO states in heavy-fermion and layered organic superconductors.


title: Universal structures in some mean field spin glasses, and an application

abstract:
  We discuss a spin glass reminiscent of the Random Energy Model, which allows
in particular to recast the Parisi minimization into a more classical Gibbs
variational principle, thereby shedding some light on the physical meaning of
the order parameter of the Parisi theory. As an application, we study the
impact of an extensive cavity field on Derrida's REM: Despite its simplicity,
this model displays some interesting features such as ultrametricity and chaos
in temperature.


title:
Measurements and confluence in quantum lambda calculi with explicit
  qubits

abstract:
  This paper demonstrates how to add a measurement operator to quantum
lambda-calculi. A proof of the consistency of the semantics is given through a
proof of confluence presented in a sufficiently general way to allow this
technique to be used for other languages. The method described here may be
applied to probabilistic rewrite systems in general, and to add measurement to
more complex languages such as QML or Lineal, which is the subject of further
research.


title: Logical Reasoning for Higher-Order Functions with Local State

abstract:
  We introduce an extension of Hoare logic for call-by-value higher-order
functions with ML-like local reference generation. Local references may be
generated dynamically and exported outside their scope, may store higher-order
functions and may be used to construct complex mutable data structures. This
primitive is captured logically using a predicate asserting reachability of a
reference name from a possibly higher-order datum and quantifiers over hidden
references. We explore the logic's descriptive and reasoning power with
non-trivial programming examples combining higher-order procedures and
dynamically generated local state. Axioms for reachability and local invariant
play a central role for reasoning about the examples.


title:
Canonical Group Quantization, Rotation Generators and Quantum
  Indistinguishability

abstract:
  Using the method of canonical group quantization, we construct the angular
momentum operators associated to configuration spaces with the topology of (i)
a sphere and (ii) a projective plane. In the first case, the obtained angular
momentum operators are the quantum version of Poincare's vector, i.e., the
physically correct angular momentum operators for an electron coupled to the
field of a magnetic monopole. In the second case, the obtained operators
represent the angular momentum operators of a system of two indistinguishable
spin zero quantum particles in three spatial dimensions. We explicitly show how
our formalism relates to the one developed by Berry and Robbins. The relevance
of the proposed formalism for an advance in our understanding of the
spin-statistics connection in non-relativistic quantum mechanics is discussed.


title: Four-wave mixing enhanced white-light cavity

abstract:
  We discuss in-medium propagation dynamics in a white light cavity that leads
to an enhancement of the cavity's bandwidth without reducing its maximum
intensity buildup. We analyze the spatiotemporal dynamics of our system with a
full simulation of the field propagation in a regime that leads to strong
absorption of the control fields. We find that an additional coherent field is
generated within the medium via four-wave mixing. This self-generated field
leads to a backaction of the medium onto the probe field. Counter intuitively,
this pronounced in-medium dynamics throughout the propagation leads to an
additional enhancement of the cavity bandwidth.


title:
Superconducting properties of SmO1-xFxFeAs wires with Tc = 52 K prepared
  by the powder-in-tube method

abstract:
  We demonstrate that Ta sheathed SmO1-xFxFeAs wires were successfully
fabricated by the powder-in-tube (PIT) method for the first time. Structural
analysis by mean of x-ray diffraction shows that the main phase of SmO1-xFxFeAs
was obtained by this synthesis method. The transition temperature of the
SmO0.65F0.35FeAs wires was confirmed to be as high as 52 K. Based on
magnetization measurements, it is found that a globe current can flow on
macroscopic sample dimensions with Jc of ~3.9x10^3 A/cm^2 at 5 K and self
field, while a high Jc about 2x10^5 A/cm^2 is observed within the grains,
suggesting that a significant improvement in the globle Jc is possible. It
should be noted that the Jc exhibits a very weak field dependence behavior.
Furthermore, the upper critical fields (Hc2) determined according to the
Werthamer-Helfand-Hohenberg formula are (T= 0 K) = 120 T, indicating a very
encouraging application of the new superconductors.


title:
Anisotropy in the electrical resistivity and susceptibility of
  superconducting BaFe$_{2}$As$_{2}$ single crystals

abstract:
  Sizable single crystals of $BaFe_2As_2$ have been grown with self-flux
method. The crystals are plate-like with c-axis perpendicular to the plane. The
size can be as large as 3 x 5 x 0.2 $mm^3$. The resistivity anisotropy
($\rho_c/\rho_{ab}$) is as large as about 150, and independent of temperature.
The transport in ab plane and along c-axis direction shares the same scattering
mechanism. In contrast to the magnetic behavior of polycrystalline samples, no
Curie-Weiss behavior are observed, a temperature linear dependent
susceptibility occurs above spin-density-wave (SDW) transition. The
susceptibility behavior is very similar to that of antiferromagnetic SDW
chromium. Magnetic behavior of single crystal definitely gives evidence for
existence of local moment except for the contribution to susceptibility from
itinerant electrons. A resistivity minimum strongly dependent on magnetic field
is observed. A log(1/T) divergency, similar to that of the underdoped cuprates,
happens at low temperature. Here we first present intrinsic transport and
magnetic properties, and their anisotropy from high quality single crystal.


title: Diffusive thermal dynamics for the spin-S Ising ferromagnet

abstract:
  We introduce an alternative thermal diffusive dynamics for the spin-S Ising
ferromagnet realized by means of a random walker. The latter hops across the
sites of the lattice and flips the relevant spins according to a probability
depending on both the local magnetic arrangement and the temperature. The
random walker, intended to model a diffusing excitation, interacts with the
lattice so that it is biased towards those sites where it can achieve an energy
gain. In order to adapt our algorithm to systems made up of arbitrary spins,
some non trivial generalizations are implied. In particular, we will apply the
new dynamics to two-dimensional spin-1/2 and spin-1 systems analyzing their
relaxation and critical behavior. Some interesting differences with respect to
canonical results are found; moreover, by comparing the outcomes from the
examined cases, we will point out their main features, possibly extending the
results to spin-S systems.


title:
Noninertial symmetry group with invariant Minkowski line element
  consistent with Heisenberg quantum commutation relations

abstract:
  The maximal symmetry of a quantum system with Heisenberg commutation
relations is given by the projective representations of the automorphism group
of the Weyl-Heisenberg algebra. The automorphism group is the central extension
of the inhomogeneous symplectic group with a conformal scaling that acts on
extended phase space. We determine the subgroup that also leaves invariant a
degenerate orthogonal Minkowski line element. This defines noninertial
relativistic symmetry transformations that have the expected classical limit as
c becomes infinite.


title: Time lag in the X-ray Dust Scattering Halo of Cyg X-1

abstract:
  This paper has been withdrawn temporarily by the authors, because we are
waiting for referee report of the paper submitted to ApJ.


title: Entanglement and the Speed of Evolution in Mixed States

abstract:
  Entanglement speeds up evolution of a pure bipartite spin state, in line with
the time energy uncertainty. However if the state is mixed this is not
necessarily the case. We provide a counter example and point to other factors
affecting evolution in mixed states, including classical correlations and
entropy.


title:
On the simply connectedness of non-negatively curved K\"ahler manifolds
  and applications

abstract:
  We study complete noncompact long time solutions $(M, g(t))$ to the
K\"ahler-Ricci flow with uniformly bounded nonnegative holomorphic bisectional
curvature. We will show that when the Ricci curvature is positive and uniformly
pinched, i.e. $ R_\ijb \ge cRg_\ijb$ at $(p,t)$ for all $t$ for some $c>0$,
then there always exists a local gradient K\"ahler Ricci soliton limit around
$p$ after possibly rescaling $g(t)$ along some sequence $t_i \to \infty$. We
will show as an immediate corollary that the injectivity radius of $g(t)$ along
$t_i$ is uniformly bounded from below along $t_i$, and thus $M$ must in fact be
simply connected. Additional results concerning the uniformization of $M$ and
fixed points of the holomorphic isometry group will also be established. We
will then consider removing the condition of positive Ricci for $(M, g(t))$.
Combining our results with Cao's splitting for K\"ahler Ricci flow \cite{Cao04}
and techniques of Ni-Tam \cite{NiTam03}, we show that when the positive
eigenvalues of the Ricci curvature are uniformly pinched at some point $p \in
M$, then $M$ has a special holomorphic fiber bundle structure. We will treat a
special cases, complete K\"ahler manifolds with non-negative holomorphic
bisectional and average quadratic curvature decay as well as the case of steady
gradient K\"ahler Ricci solitons.


title:
Constraints from CMB on Spacetime Noncommutativity and Causality
  Violation

abstract:
  We try to constrain the noncommutativity length scale of the theoretical
model given in Ref. [1] using the observational data from ACBAR, CBI and five
year WMAP. The noncommutativity parameter is not constrained by WMAP data,
however ACBAR and CBI data restrict the lower bound of its energy scale to be
around 10 TeV. We also derive an expression for the amount of non-causality
coming from spacetime noncommutativity for the fields of primordial scalar
perturbations that are space-like separated. The amount of causality violation
for these field fluctuations are direction dependent.


title:
The diffuse neutrino flux from the inner Galaxy: constraints from very
  high energy gamma-ray observations

abstract:
  Recently, the MILAGRO collaboration reported on the detection of a diffuse
multi-TeV emission from a region of the Galactic disk close to the inner
Galaxy. The emission is in excess of what is predicted by conventional models
for cosmic ray propagation, which are tuned to reproduce the spectrum of cosmic
rays observed locally. By assuming that the excess detected by MILAGRO is of
hadronic origin and that it is representative for the whole inner Galactic
region, we estimate the expected diffuse flux of neutrinos from a region of the
Galactic disk with coordinates $-40^{\circ} < l < 40^{\circ}$. Our estimate has
to be considered as the maximal expected neutrino flux compatible with all the
available gamma ray data, since any leptonic contribution to the observed
gamma-ray emission would lower the neutrino flux. The diffuse flux of
neutrinos, if close to the maximum allowed level, may be detected by a
km$^3$--scale detector located in the northern hemisphere. A detection would
unambiguously reveal the hadronic origin of the diffuse gamma-ray emission.


title: Random walks interacting with evolving energy landscapes

abstract:
  We introduce a diffusion model for energetically inhomogeneous systems. A
random walker moves on a spin-S Ising configuration, which generates the energy
landscape on the lattice through the nearest-neighbors interaction. The
underlying energetic environment is also made dynamic by properly coupling the
walker with the spin lattice. In fact, while the walker hops across
nearest-neighbor sites, it can flip the pertaining spins, realizing a diffusive
dynamics for the Ising system. As a result, the walk is biased towards high
energy regions, namely the boundaries between clusters. Besides, the coupling
introduced involves, with respect the ordinary diffusion laws, interesting
corrections depending on either the temperature and the spin magnitude. In
particular, they provide a further signature of the phase-transition occurring
on the magnetic lattice.


title: Survey on the Burnside ring of compact Lie groups

abstract:
  The definition and basic properties of the Burnside ring of compact Lie
groups are presented, with emphasis on the analogy with the construction of the
Burnside ring of finite groups.


title: Chiral bosons on Bargmann space associated with A$_r$ Statistics

abstract:
  We consider a large collection of particles obeying $A_r$ statistics. The
system behaves like a quantum droplet characterized by a constant Husimi
distribution. We show that the excitations of this system live on the boundary
of the droplet and they are described by an effective chiral boson action
generalizing the Wess-Zumino-Witten theory in two dimension. Our analysis is
based on the Fock-Bargmann analytical representations associated to $A_r$
statistics. The quantization of the theory describing the dynamics on the edge
is achieved. As by product, we prove that the edge excitations are given by a
tensorial product of $r$ abelian bosonic fields.


title: Noncommutative scalar fields from symplectic deformation

abstract:
  This paper is concerned with the quantum theory of noncommutative scalar
fields in two dimensional space time. It is shown that the noncommutativity
originates from the the deformation of symplectic structures. The quantization
is performed and the modes expansions of the fields, in presence of an
electro-magnetic background, are derived. The Hamiltonian of the theory is
given and the degeneracies lifting, induced by the deformation, is also
discussed.


title:
Symplectic Deformations, Non Commutative Scalar Fields and Fractional
  Quantum Hall Effect

abstract:
  We clearly show that the symplectic structures deformations lead, upon
quantization, to quantum theories of non commutative fields. Two variants of
deformations are considered. The quantization is performed and the modes
expansions of the quantum fields are derived. The Hamiltonians are given and
the degeneracies lifting induced by the deformation is also discussed. As
illustration, we consider the noncommutative chiral boson fields in the context
of fractional quantum Hall effect. A generalized fractional filling factor is
derived and shown to reproduce the Jain Hall states. We also show that the
coupling of left and right edge excitations of a quantum Hall sample, gives
rise a noncommutative chiral boson theory. The coupling or the
non-commutativity induces a shift of the chiral components velocities. A non
linear dispersion relation is obtained corroborating some recent analytical and
numerical analysis.


title:
Pre-Seismic Electrical Signals (SES) generation and their relation to
  the lithospheric tidal oscillations K2, S2, M1 (T = 12hours / 14 days)

abstract:
  It is postulated that the preseismic electric signals (SES) are generated by
the piezoelectric mechanism applied on small rock grains - blocks during their
stress load until fracturing. Specifically, the square electric train pulses
are generated by the combination of a stress increase phase which generates a
positive piezostimulated polarized current pulse (PSPC) followed, in a short
time, by the stress decrease phase at fracturing level which generates a
negative piezostimulated depolarized current pulse (PSDC). Moreover, it is
shown that the SES signals are closely related to the tidally triggered
lithospheric stress maxima - minima. Examples of SES signals are presented in
relation to the tidally triggered lithospheric oscillation (k2, S2, M1) of T =
12hours / 14 days, while some comments are made as far as it concerns their use
in short-term earthquake prediction.


title: Exact solutions for N-magnon scattering

abstract:
  Giant magnon solutions play an important role in various aspects of the
AdS/CFT correspondence. We apply the dressing method to construct an explicit
formula for scattering states of an arbitrary number N of magnons on R x S^3.
The solution can be written in Hirota form and in terms of determinants of N x
N matrices. Such a representation may prove useful for the construction of an
effective particle Hamiltonian describing magnon dynamics.


title: On Poisson quasi-Nijenhuis Lie algebroids

abstract:
  We propose a definition of Poisson quasi-Nijenhuis Lie algebroids as a
natural generalization of Poisson quasi-Nijenhuis manifolds and show that any
such Lie algebroid has an associated quasi-Lie bialgebroid. Therefore, also an
associated Courant algebroid is obtained. We introduce the notion of a morphism
of quasi-Lie bialgebroids and of the induced Courant algebroids morphism and
provide some examples of Courant algebroid morphisms. Finally, we use paired
operators to deform doubles of Lie and quasi-Lie bialgebroids and find an
application to generalized complex geometry.