title: Plane Jacobian conjecture for simple polynomials

abstract:
  A non-zero constant Jacobian polynomial map $F=(P,Q):\mathbb{C}^2
\longrightarrow \mathbb{C}^2$ has a polynomial inverse if the component $P$ is
a simple polynomial, i.e. if, when $P$ extended to a morphism
$p:X\longrightarrow \mathbb{P}^1$ of a compactification $X$ of $\mathbb{C}^2$,
the restriction of $p$ to each irreducible component $C$ of the
compactification divisor $D = X-\mathbb{C}^2$ is either degree 0 or 1.


title: Hidden Local Symmetry and Dense Half-Skyrmion Matter

abstract:
  Transition from baryonic matter to color-flavor-locked quark matter is
described in terms of skyrmion matter changing into half-skyrmion matter. The
intermediate phase between the density $n_p$ at which a skyrmion turns into two
half skyrmions and the chiral transition density $n_c^{\chi SR}$ at which
hadronic matter changes over to quark matter corresponds to a chiral symmetry
restored phase characterized by a vanishing quark condensate and a {\em
non-vanishing} pion decay constant. When hidden local fields are incorporated,
the vector manifestation of Harada-Yamawaki HLS theory implies that as density
approaches $n_c^{\chi SR}$, the gauge coupling $g$ goes to zero (in the chiral
limit) and the symmetry "swells" to $SU(N_f)^4$ as proposed by Georgi for the
"vector limit." This enhanced symmetry, not present in QCD, can be interpreted
as "emergent" in medium due to collective excitations. The fractionization of
skyrmions into half-skyrmions resembles closely the magnetic N\'eel--to-valence
bond solid (VBS) paramagnet transition where "baby" half-skyrmions enter as
relevant degrees of freedom in the intermediate phase. It is suggested that the
half-skyrmion phase in dense matter corresponds to the "hadronic freedom"
regime that plays a singularly important role in inducing kaon condensation
that leads to the collapse of massive compact stars into black holes..


title: Accelerating consensus of self-driven swarm via adaptive speed

abstract:
  In resent years, Vicsek model has attracted more and more attention and been
well developed. However, the in-depth analysis on the convergence time are
scarce thus far. In this paper, we study some certain factors that mainly
govern the convergence time of Vicsek model. By extensively numerical
simulations, we find the convergence time scales in a power law with $r^2\ln N$
in the noise-free case, where $r$ and $N$ are horizon radius and the number of
particles. Furthermore, to accelerate the convergence, we propose a new model
in which the speed of each particle is variable. The convergence time can be
remarkably shortened compared with the standard Vicsek model.


title:
Optical Monitoring of 3C 390.3 from 1995 to 2004 and Possible
  Periodicities in the Historical Light Curve

abstract:
  We report V, R, and I band CCD photometry of the radio galaxy 3C 390.3
obtained with the 1.56-m telescope of the Shanghai Astronomical Observatory
from March 1995 to August 2004. Combining these data with data from the
literature, we have constructed a historical light curve from 1894 to 2004 and
searched for periodicities using the CLEANest program. We find possible periods
of 8.30+-1.17, 5.37+-0.49, 3.51+-0.21, and 2.13+-0.08 years.


title: Equivariant relative Thom forms and Chern characters

abstract:
  These notes are the first chapter of a monograph, dedicated to a detailed
proof of the equivariant index theorem for transversally elliptic operators. In
this preliminary chapter, we prove a certain number of natural relations in
equivariant cohomology. These relations include the Thom isomorphism in
equivariant cohomology, the multiplicativity of the relative Chern characters,
and the Riemann-Roch relation between the relative Chern character of the Bott
symbol and of the relative Thom class.


title: Stable pairs and BPS invariants

abstract:
  We define the BPS invariants of Gopakumar-Vafa in the case of irreducible
curve classes on Calabi-Yau 3-folds. The main tools are the theory of stable
pairs in the derived category and Behrend's constructible function approach to
the virtual class. We prove that for irreducible classes the stable pairs
generating function satisfies the strong BPS rationality conjectures.
  We define the contribution of each curve to the BPS invariants. A curve $C$
only contributes to the BPS invariants in genera lying between the geometric
genus and arithmetic genus of $C$. Complete formulae are derived for
nonsingular and nodal curves.
  A discussion of primitive classes on K3 surfaces from the point of view of
stable pairs is given in the Appendix via calculations of Kawai-Yoshioka. A
proof of the Yau-Zaslow formula for rational curve counts is obtained. A
connection is made to the Katz-Klemm-Vafa formula for BPS counts in all genera.


title:
On Translational Superfluidity and the Landau Criterion for Trapped Bose
  gases in the Gross-Pitaevski Limit

abstract:
  The two-fluid and Landau criteria for superfluidity are compared for trapped
Bose gases. While the two-fluid criterion predicts translational superfluidity,
it is suggested, on the basis of the homogeneous Gross-Pitaevski limit, that a
necessary part of Landau's criterion, adequate for non-translationally
invariant systems, d oes not hold for trapped Bose gases in the GP limit. As a
consequence, if the compressibility is detected to be very large (infinite by
experimental standards) the two-fluid criterion is seen to be the relevant one
in case the system is a tranlational superfluid, while the Landau criterion is
the relevant one if translational superfluidity is absent.


title:
Improving the reliability of material databases using multiscale
  approaches

abstract:
  This article addresses the propagation of constitutive uncertainties between
scales occurring in the multiscale modelling of fibre-reinforced composites.
The amplification of such uncertainties through upward or downward transitions
by a homogenisation model is emphasized and exemplified with the Mori-Tanaka
model. In particular, the sensitivity to data uncertainty in the inverse
determination of constituent parameters based on downward transitions is
stressed on an example. Then a database improvement method, which exploits
simultaneously the available information on constitutive uncertainties at all
scales instead of just propagating those associated with one scale, is
presented and shown to yield substantial reductions in uncertainty for both the
constitutive parameters and the response of structures. The latter finding is
demonstrated on two examples of structures, with significant gains in
confidence obtained on both.


title: The glueball among the light scalar mesons

abstract:
  The lightest gluonic meson is expected with J^{PC}=0^{++}, calculations in
full QCD point towards a mass of around 1 GeV. The interpretation of the scalar
meson spectrum is hindered as some states are rather broad. In a largely
model-independent analysis of pi+ pi- \to pi+ pi-, pi0 pi0 scattering in the
region 600-1800 MeV a unique solution for the isoscalar S-wave is obtained. The
resonances f_0(980), f_0(1500) and the broad f_0(600) or ``sigma'' are clearly
identified whereas f_0(1370) is not seen at the level B(f_0(1370)\to pi
pi)\gtrsim 10%. Arguments for the broad state to be a glueball are recalled. We
see no contradiction with the reported large B(sigma \to gamma gamma) and
propose some further experimental tests.


title: Decoupling and coherent plasma oscillations around last scattering

abstract:
  Coherent properties of the baryon-photon fluid decoupling are considered in
the terms of an effective nonlinear Schr\"{o}dinger equation for a macroscopic
wave function that specifies the index of the coherent state. Generation of a
transitional acoustic turbulence preceding formation of large-scale condensate
in the plasma and its influence on the CMB power spectrum has been studied. A
scaling $k^{-1}$ law is derived for the CMB Doppler spectrum $E(k)$
(angle-averaged) in the {\it wavenumber} space, for sufficiently large
wavenumber $k$ and for the weak nonlinear and completely disordered initial
conditions. Using the recent WMAP data it is shown that the so-called first
acoustic peak represents (in a compensated spectral form) a pre-condensate
fraction of the spectrum $E(k)$ at a rather advance stage of the condensate
formation process.


title: Ab initio prediction on ferrotoroidic olivine Li4MnFeCoNiP4O16

abstract:
  First-principles calculation predict that olivine Li4MnFeCoNiP4O16 has
ferrotoroidic characteristic and ferrimagnetic configuration with magnetic
moment of 1.56 \muB per formula unit. The ferrotoroidicity of this material
makes it a potential candidate for magnetoelectric materials . Based on the
orbital-resolved density of states for the transtion-metal ions in
Li4MnFeCoNiP4O16, the spin configuration for Mn2+,Fe3+,Co2+, and Ni2+ is
t2g3eg2, t2g3eg2,t2g1t2g3eg1eg2, and t2g2t2g3eg1eg2, respectively. Density
functional theory plus U (DFT+U) shows a indirect band gap of 1.25 eV in this
predicted material, which is not simply related to the electronic conductivity
in terms of being used as cathode material in rechargeable Li-ion batteries.


title: Some Sharp L^2 Inequalities for Dirac Type Operators

abstract:
  We use the spectra of Dirac type operators on the sphere $S^{n}$ to produce
sharp $L^{2}$ inequalities on the sphere. These operators include the Dirac
operator on $S^{n}$, the conformal Laplacian and Paenitz operator. We use the
Cayley transform, or stereographic projection, to obtain similar inequalities
for powers of the Dirac operator and their inverses in $\mathbb{R}^{n}$.


title:
Low energy properties of non-perturbative quantum systems: a space
  reduction approach

abstract:
  We propose and test a renormalization procedure which acts in Hilbert space.
We test its efficiency on strongly correlated quantum spin systems by working
out and analyzing the low-energy spectral properties of frustrated quantum spin
systems in different parts of the phase diagram and in the neighbourhood of
quantum critical points.

categories: quant-ph cond-mat.str-el nucl-th physics.atm-clus


title:
Weighted Projective Lines Associated to Regular Systems of Weights of
  Dual Type

abstract:
  We associate to a regular system of weights a weighted projective line over
an algebraically closed field of characteristic zero in two different ways. One
is defined as a quotient stack via a hypersurface singularity for a regular
system of weights and the other is defined via the signature of the same
regular system of weights.
  The main result in this paper is that if a regular system of weights is of
dual type then these two weighted projective lines have equivalent abelian
categories of coherent sheaves. As a corollary, we can show that the
triangulated categories of the graded singularity associated to a regular
system of weights has a full exceptional collection, which is expected from
homological mirror symmetries.
  Main theorem of this paper will be generalized to more general one, to the
case when a regular system of weights is of genus zero, which will be given in
the joint paper with Kajiura and Saito. Since we need more detailed study of
regular systems of weights and some knowledge of algebraic geometry of
Deligne--Mumford stacks there, the author write a part of the result in this
paper to which another simple proof based on the idea by Geigle--Lenzing can be
applied.


title: Mass and Gas Profiles in A1689: Joint X-ray and Lensing Analysis

abstract:
  We carry out a comprehensive joint analysis of high quality HST/ACS and
Chandra measurements of A1689, from which we derive mass, temperature, X-ray
emission and abundance profiles. The X-ray emission is smooth and symmetric,
and the lensing mass is centrally concentrated indicating a relaxed cluster.
Assuming hydrostatic equilibrium we deduce a 3D mass profile that agrees
simultaneously with both the lensing and X-ray measurements. However, the
projected temperature profile predicted with this 3D mass profile exceeds the
observed temperature by ~30% at all radii, a level of discrepancy comparable to
the level found for other relaxed clusters. This result may support recent
suggestions from hydrodynamical simulations that denser, more X-ray luminous
small-scale structure can bias observed temperature measurements downward at
about the same (~30%) level. We determine the gas entropy at 0.1r_{vir} (where
r_{vir} is the virial radius) to be ~800 keV cm^2, as expected for a high
temperature cluster, but its profile at >0.1r_{vir} has a power-law form with
index ~0.8, considerably shallower than the ~1.1 index advocated by theoretical
studies and simulations. Moreover, if a constant entropy ''floor'' exists at
all, then it is within a small region in the inner core, r<0.02r_{vir}, in
accord with previous theoretical studies of massive clusters.


title:
Application of Tuncay's language teacher model to business-customer
  relations

abstract:
  It seems that what has been said by now about market and competitiveness do
not fit perfectly with competences of getting the best of profit. Sometimes,
the classical methods of fundamentals of management do not apply to individual
companies that face irregular accommodation on the market. It is high time to
replace the perfect business with the right one. New approaches and models may
help in identifying new competition trends, changes for better application of
purposes and proposals.


title: SU(6), Triquark states, and the pentaquark

abstract:
  The purported observation of a state $\Theta^+$ with strangeness S = +1 led
to its quark model interpretation in terms of a pentaquark combination
involving a triquark-diquark structure -- the Karliner-Lipkin model. In this
work, the proper colour-spin symmetry properties for the $q q \bar{q}$ triquark
are elucidated by calculating the SU(6) unitary scalar factors and Racah
coefficients. Using these results, the colour-spin hyperfine interactions,
including flavour symmetry breaking therein, become straight-forward to
incorporate and the pentaquark masses are readily obtained. We examine the
effect on the pentaquark mass of (a) deviations from the flavour symmetric
limit and (b) different strengths of the doublet and triplet hyperfine
interactions. Reference values of these parameters yield a $\Theta^+$ mass
prediction of 1601 MeV but it can comfortably accommodate 1540 MeV for
alternate choices. In the same framework, other pentaquark states $\Xi$ (S=--2)
and $\Theta^c $ (with charm C=--1) are expected at 1783 MeV and 2757 MeV,
respectively.


title: Formulating Viscous Hydrodynamics for Large Velocity Gradients

abstract:
  Viscous corrections to relativistic hydrodynamics, which are usually
formulated for small velocity g radients, have recently been extended from
Navier-Stokes formulations to a class of treatments based on Israel-Stewart
equations. Israel-Stewart treatments, which treat the spatial components of the
s tress-energy tensor tau_ij as dynamical objects, introduce new parameters,
such as the relaxati on times describing non-equilibrium behavior of the
elements tau_ij. By considering linear resp onse theory and entropy
constraints, we show how the additional parameters are related to fluctuatio ns
of tau_ij. Furthermore, the Israel-Stewart parameters are analyzed for their
ability to prov ide stable and physical solutions for sound waves. Finally, it
is shown how these parameters, which are naturally described by correlation
functions in real time, might be constrained by lattice calcu lations, which
are based on path-integral formulations in imaginary time.


title: Solution-space structure of (some) optimization problems

abstract:
  We study numerically the cluster structure of random ensembles of two NP-hard
optimization problems originating in computational complexity, the vertex-cover
problem and the number partitioning problem. We use branch-and-bound type
algorithms to obtain exact solutions of these problems for moderate system
sizes. Using two methods, direct neighborhood-based clustering and hierarchical
clustering, we investigate the structure of the solution space. The main result
is that the correspondence between solution structure and the phase diagrams of
the problems is not unique. Namely, for vertex cover we observe a drastic
change of the solution space from large single clusters to multiple nested
levels of clusters. In contrast, for the number-partitioning problem, the phase
space looks always very simple, similar to a random distribution of the
lowest-energy configurations. This holds in the ``easy''/solvable phase as well
as in the ``hard''/unsolvable phase.


title: Clustering of Intermediate Luminosity X-ray selected AGN at z~3

abstract:
  We present the first clustering results of X-ray selected AGN at z~3. Using
Chandra X-ray imaging and UVR optical colors from MUSYC photometry in the
ECDF-S field, we selected a sample of 58 z~3 AGN candidates. From the optical
data we also selected 1385 LBG at 2.8<z< 3.8 with R<25.5. We performed
auto-correlation and cross-correlation analyses, and here we present results
for the clustering amplitudes and dark matter halo masses of each sample. For
the LBG we find a correlation length of r_0,LBG = 6.7 +/- 0.5 Mpc, implying a
bias value of 3.5 +/- 0.3 and dark matter (DM) halo masses of log(Mmin/Msun) =
11.8 +/- 0.1. The AGN-LBG cross-correlation yields r_0,AGN-LBG = 8.7 +/- 1.9
Mpc, implying for AGN at 2.8<z<3.8 a bias value of 5.5 +/- 2.0 and DM halo
masses of log(Mmin/Msun) = 12.6 +0.5/-0.8. Evolution of dark matter halos in
the Lambda CDM cosmology implies that today these z~3 AGN are found in high
mass galaxies with a typical luminosity of 7+4/-2 L*.


title: Nonequilibrium work distribution of a quantum harmonic oscillator

abstract:
  We analytically calculate the work distribution of a quantum harmonic
oscillator with arbitrary time-dependent angular frequency. We provide detailed
expressions for the work probability density for adiabatic and nonadiabatic
processes, in the limit of low and high temperature. We further verify the
validity of the quantum Jarzynski equality


title:
Distributed Consensus Algorithms in Sensor Networks: Link Failures and
  Channel Noise

abstract:
  The paper studies average consensus with random topologies (intermittent
links)
  \emph{and} noisy channels. Consensus with noise in the network links leads to
the bias-variance dilemma--running consensus for long reduces the bias of the
final average estimate but increases its variance. We present two different
compromises to this tradeoff: the $\mathcal{A-ND}$ algorithm modifies
conventional consensus by forcing the weights to satisfy a \emph{persistence}
condition (slowly decaying to zero); and the $\mathcal{A-NC}$ algorithm where
the weights are constant but consensus is run for a fixed number of iterations
$\hat{\imath}$, then it is restarted and rerun for a total of $\hat{p}$ runs,
and at the end averages the final states of the $\hat{p}$ runs (Monte Carlo
averaging). We use controlled Markov processes and stochastic approximation
arguments to prove almost sure convergence of $\mathcal{A-ND}$ to the desired
average (asymptotic unbiasedness) and compute explicitly the m.s.e. (variance)
of the consensus limit. We show that $\mathcal{A-ND}$ represents the best of
both worlds--low bias and low variance--at the cost of a slow convergence rate;
rescaling the weights...


title: A Schrodinger formulation of Bianchi I scalar field cosmology

abstract:
  We show that the Bianchi I Einstein field equations in a perfect fluid scalar
field cosmology are equivalent to a linear Schrodinger equation. This is
achieved through a special case of the recent FLRW Schrodinger-type
formulation, and provides an alternate method of obtaining exact solutions of
the Bianchi I equations.


title:
Cold Nuclear Matter Effects on J/Psi as Constrained by Deuteron-Gold
  Measurements at sqrt(s_NN) = 200 GeV

abstract:
  We present a new analysis of J/psi production yields in deuteron-gold
collisions at sqrt(s_NN) = 200 GeV using data taken by the PHENIX experiment in
2003 and previously published in [S.S. Adler et al., Phys. Rev. Lett 96, 012304
(2006)]. The high statistics proton-proton J/psi data taken in 2005 is used to
improve the baseline measurement and thus construct updated cold nuclear matter
modification factors R_dAu. A suppression of J/psi in cold nuclear matter is
observed as one goes forward in rapidity (in the deuteron-going direction),
corresponding to a region more sensitive to initial state low-x gluons in the
gold nucleus. The measured nuclear modification factors are compared to
theoretical calculations of nuclear shadowing to which a J/psi (or precursor)
break-up cross-section is added. Breakup cross sections of sigma_breakup =
2.8^[+1.7_-1.4] (2.2^[+1.6_-1.5]) mb are obtained by fitting these calculations
to the data using two different models of nuclear shadowing. These breakup
cross section values are consistent within large uncertainties with the 4.2 +/-
0.5 mb determined at lower collision energies. Projecting this range of cold
nuclear matter effects to copper-copper and gold-gold collisions reveals that
the current constraints are not sufficient to firmly quantify the additional
hot nuclear matter effect.


title: A problem with Artin's Vanishing for torsion motivic homology

abstract:
  The paper is suspended. The reason: as was noted by prof. H. Esnault, Theorem
2.1.1 of the previous version (as well as the related Theorem 6.1.1 of
http://arxiv.org/PS_cache/math/pdf/9908/9908037v2.pdf of D. Arapura and P.
Sastry) is wrong unless one assumes H to be a generic hyperplane section. Hence
the proofs of all results starting from 2.3 contain gaps.
  The author hopes to correct this (somehow) in a future version. At least,
most of the results follow from certain "standard" motivic conjectures (see
part 1 of Remark 3.2.4 in the previous version). If the author would not find a
way to prove Theorems 2.3.1 and 2.3.2 (without 2.1.1), then in the next version
of the preprint the results of section 4 will be deduced from certain
conjectures; certainly this is not a very exiting result.


title: Small Subspaces of L_p

abstract:
  We prove that if $X$ is a subspace of $L_p$ $(2<p<\infty)$, then either $X$
embeds isomorphically into $\ell_p \oplus \ell_2$ or $X$ contains a subspace
$Y,$ which is isomorphic to $\ell_p(\ell_2)$. We also give an intrinsic
characterization of when $X$ embeds into $\ell_p \oplus \ell_2$ in terms of
weakly null trees in $X$ or, equivalently, in terms of the "infinite asymptotic
game" played in $X$. This solves problems concerning small subspaces of $L_p$
originating in the 1970's. The techniques used were developed over several
decades, the most recent being that of weakly null trees developed in the
2000's.


title: Self-averaging of kinetic models for waves in random media

abstract:
  Kinetic equations are often appropriate to model the energy density of high
frequency waves propagating in highly heterogeneous media. The limitations of
the kinetic model are quantified by the statistical instability of the wave
energy density, i.e., by its sensitivity to changes in the realization of the
underlying heterogeneous medium modeled as a random medium. In the simplified
It\^o-Schr\"odinger regime of wave propagation, we obtain optimal estimates for
the statistical instability of the wave energy density for different
configurations of the source terms and the domains over which the energy
density is measured. We show that the energy density is asymptotically
statistically stable (self-averaging) in many configurations. In the case of
highly localized source terms, we obtain an explicit asymptotic expression for
the scintillation function in the high frequency limit.


title: Simplex solid states of SU(N) quantum antiferromagnets

abstract:
  I define a set of wavefunctions for SU(N) lattice antiferromagnets, analogous
to the valence bond solid states of Affleck, Kennedy, Lieb, and Tasaki (AKLT),
in which the singlets are extended over N-site simplices. As with the valence
bond solids, the new simplex solid (SS) states are extinguished by certain
local projection operators, allowing us to construct Hamiltonians with local
interactions which render the SS states exact ground states. Using a coherent
state representation, we show that the quantum correlations in each SS state
are calculable as the finite temperature correlations of an associated
classical model, with N-spin interactions, on the same lattice. In three and
higher dimensions, the SS states can spontaneously break SU(N) and exhibit
N-sublattice long-ranged order, as a function of a discrete parameter which
fixes the local representation of SU(N). I analyze this transition using a
classical mean field approach. For N>2 the ordered state is selected via an
"order by disorder" mechanism. As in the AKLT case, the bulk representations
fractionalize at an edge, and the ground state entropy is proportional to the
volume of the boundary.


title: Constraints on Deep-seated Zonal Winds Inside Jupiter and Saturn

abstract:
  The atmospheres of Jupiter and Saturn exhibit strong and stable zonal winds.
How deep the winds penetrate unabated into each planet is unknown. Our
investigation favors shallow winds. It consists of two parts.
  The first part makes use of an Ohmic constraint; Ohmic dissipation associated
with the planet's magnetic field cannot exceed the planet's net luminosity.
Application to Jupiter (J) and Saturn (S) shows that the observed zonal winds
cannot penetrate below a depth at which the electrical conductivity is about
six orders of magnitude smaller than its value at the molecular-metallic
transition. Measured values of the electrical conductivity of molecular
hydrogen yield radii of maximum penetration of 0.96R_J and 0.86R_S, with
uncertainties of a few percent of R. At these radii, the magnetic Reynolds
number based on the zonal wind velocity and the scale height of the magnetic
diffusivity is of order unity. These limits are insensitive to difficulties in
modeling turbulent convection. They permit complete penetration along cylinders
of the equatorial jets observed in the atmospheres of Jupiter and Saturn.
  The second part investigates how deep the observed zonal winds actually do
penetrate. Truncation of the winds in the planet's convective envelope would
involve breaking the Taylor-Proudman constraint on cylindrical flow. This would
require a suitable nonpotential acceleration which none of the obvious
candidates appears able to provide. Accelerations arising from entropy
gradients, magnetic stresses, and Reynolds stresses appear to be much too weak.
These considerations suggest that strong zonal winds are confined to shallow,
stably stratified layers, with equatorial jets being the possible exception.


title:
Stationary and dynamical properties of information entropies in
  nonextensive systems

abstract:
  The Tsallis entropy and Fisher information entropy (matrix) are very
important quantities expressing information measures in nonextensive systems.
Stationary and dynamical properties of the information entropies have been
investigated in the $N$-unit coupled Langevin model subjected to additive and
multiplicative white noise, which is one of typical nonextensive systems. We
have made detailed, analytical and numerical study on the dependence of the
stationary-state entropies on additive and multiplicative noise, external
inputs, couplings and number of constitutive elements ($N$). By solving the
Fokker-Planck equation (FPE) by both the proposed analytical scheme and the
partial difference-equation method, transient responses of the information
entropies to an input signal and an external force have been investigated. We
have calculated the information entropies also with the use of the probability
distribution derived by the maximum-entropy method (MEM), whose result is
compared to that obtained by the FPE. The Cram\'{e}r-Rao inequality is shown to
be expressed by the {\it extended} Fisher entropy, which is different from the
{\it generalized} Fisher entropy obtained from the generalized Kullback-Leibler
divergence in conformity with the Tsallis entropy. The effect of additive and
multiplicative {\it colored} noise on information entropies is discussed also.


title: Moderate deviations for stationary sequences of bounded random variables

abstract:
  In this paper we derive the moderate deviation principle for stationary
sequences of bounded random variables under martingale-type conditions.
Applications to functions of $\phi$-mixing sequences, contracting Markov
chains, expanding maps of the interval, and symmetric random walks on the
circle are given.


title: The Shape of Cas A

abstract:
  Based on optical, IR and X-ray studies of Cas A, we propose a geometry for
the remnant based on a "jet-induced" scenario with significant systematic
departures from axial symmetry. In this model, the main jet axis is oriented in
the direction of strong blue-shifted motion at an angle of 110 - 120 degrees
East of North and about 40 - 50 degrees to the East of the line of sight.
Normal to this axis would be an expanding torus as predicted by jet-induced
models. In the proposed geometry, iron-peak elements in the main jet-like flow
could appear "beyond" the portions of the remnant rich in silicon by projection
effects, not the effect of mixing. In the context of the proposed geometry, the
displacement of the compact object from the kinematic center of the remnant at
a position angle of ~169 degrees can be accommodated if the motion of the
compact object is near to, but slightly off from, the direction of the main
"jet" axis by of order 30 degrees. In this model, the classical NE "jet," the
SW "counter-jet" and other protrusions, particularly the "hole" in the North,
are non-asymmetric flows approximately in the equatorial plane, e.g., out
through the perimeter of the expanding torus, rather than being associated with
the main jet. We explore the spoke-like flow in the equatorial plane in terms
of Rayleigh-Taylor, Richtmyer-Meshkov and Kelvin-Helmholz instabilities and
illustrate these instabilities with a jet-induced simulation.


title: Rateless codes for AVC models

abstract:
  The arbitrarily varying channel (AVC) is a channel model whose state is
selected maliciously by an adversary. Fixed-blocklength coding assumes a
worst-case bound on the adversary's capabilities, which leads to pessimistic
results. This paper defines a variable-length perspective on this problem, for
which achievable rates are shown that depend on the realized actions of the
adversary. Specifically, rateless codes are constructed which require a limited
amount of common randomness. These codes are constructed for two kinds of AVC
models. In the first the channel state cannot depend on the channel input, and
in the second it can. As a byproduct, the randomized coding capacity of the AVC
with state depending on the transmitted codeword is found and shown to be
achievable with a small amount of common randomness. The results for this model
are proved using a randomized strategy based on list decoding.


title: Primitive cohomology and the tube mapping

abstract:
  Let X be a smooth complex projective variety of dimension d. We show that its
primitive cohomology in degree d is generated by certain "tube classes,"
constructed from the monodromy of the family of smooth hyperplane sections on
X. The proof makes use of a result about the group cohomology of certain
representations that may be of independent interest.


title: A posteriori error estimates in the maximum norm for parabolic problems

abstract:
  We derive a posteriori error estimates in the
$L_\infty((0,T];L_\infty(\Omega))$ norm for approximations of solutions to
linear para bolic equations. Using the elliptic reconstruction technique
introduced by Makridakis and Nochetto and heat kernel estimates for linear
parabolic pr oblems, we first prove a posteriori bounds in the maximum norm for
semidiscrete finite element approximations. We then establish a posteriori
bounds for a fully discrete backward Euler finite element approximation. The
elliptic reconstruction technique greatly simplifies our development by allow\
ing the straightforward combination of heat kernel estimates with existing
elliptic maximum norm error estimators.


title:
Cusps and shocks in the renormalized potential of glassy random
  manifolds: How Functional Renormalization Group and Replica Symmetry Breaking
  fit together

abstract:
  We compute the Functional Renormalization Group (FRG) disorder- correlator
function R(v) for d-dimensional elastic manifolds pinned by a random potential
in the limit of infinite embedding space dimension N. It measures the
equilibrium response of the manifold in a quadratic potential well as the
center of the well is varied from 0 to v. We find two distinct scaling regimes:
(i) a "single shock" regime, v^2 ~ 1/L^d where L^d is the system volume and
(ii) a "thermodynamic" regime, v^2 ~ N. In regime (i) all the equivalent
replica symmetry breaking (RSB) saddle points within the Gaussian variational
approximation contribute, while in regime (ii) the effect of RSB enters only
through a single anomaly. When the RSB is continuous (e.g., for short-range
disorder, in dimension 2 <= d <= 4), we prove that regime (ii) yields the
large-N FRG function obtained previously. In that case, the disorder correlator
exhibits a cusp in both regimes, though with different amplitudes and of
different physical origin. When the RSB solution is 1-step and non- marginal
(e.g., d < 2 for SR disorder), the correlator R(v) in regime (ii) is
considerably reduced, and exhibits no cusp. Solutions of the FRG flow
corresponding to non-equilibrium states are discussed as well. In all cases the
regime (i) exhibits a cusp non-analyticity at T=0, whose form and thermal
rounding at finite T is obtained exactly and interpreted in terms of shocks.
The results are compared with previous work, and consequences for manifolds at
finite N, as well as extensions to spin glasses and related models are
discussed.


title:
On a reduction procedure for Horn inequalities in finite von Neumann
  algebras

abstract:
  We consider the analogues of the Horn inequalities in finite von Neumann
algebras, which concern the possible spectral distributions of sums $a+b$ of
self--adjoint elements $a$ and $b$ in a finite von Neumann algebra. It is an
open question whether all of these Horn inequalities must hold in all finite
von Neumann algebras, and this is related to Connes' embedding problem. For
each choice of integers $1\le r\le n$, there is a set $T^n_r$ of Horn triples,
and the Horn inequalities are in one-to-one correspondence with $\cup_{1\le
r\le n}T^n_r$. We consider a property P$_n$, analogous to one introduced by
Therianos and Thompson in the case of matrices, amounting to the existence of
projections having certain properties relative to arbitrary flags, which
guarantees that a given Horn inequality holds in all finite von Neumann
algebras. It is an open question whether all Horn triples in $T^n_r$ have
property P$_n$. Certain triples in $T^n_r$ can be reduced to triples in
$T^{n-1}_r$ by an operation we call {\em TT--reduction}. We show that property
P$_n$ holds for the original triple if property P$_{n-1}$ holds for the reduced
one. We then characterize the TT--irreducible Horn triples in $T^n_3$, for
arbitrary $n$, and for those LR--minimal ones (namely, those having
Littlewood--Richardson coefficient equal to 1), we perform a construction of
projections with respect to flags in arbitrary von Neumann algebras in order to
prove property P$_n$ for them. This shows that all LR--minimal triples in
$\cup_{n\ge3}T^n_3$ have property P$_n$, and so that the corresponding Horn
inequalities hold in all finite von Neumann algebras.


title: The tube method for the moment index in projection pursuit

abstract:
  The projection pursuit index defined by a sum of squares of the third and the
fourth sample cumulants is known as the moment index proposed by Jones and
Sibson. Limiting distribution of the maximum of the moment index under the null
hypothesis that the population is multivariate normal is shown to be the
maximum of a Gaussian random field with a finite Karhunen-Loeve expansion. An
approximate formula for tail probability of the maximum, which corresponds to
the p-value, is given by virtue of the tube method through determining Weyl's
invariants of all degrees and the critical radius of the index manifold of the
Gaussian random field.


title:
Dependence of nucleotide physical properties on their placement in
  codons and determinative degree

abstract:
  Various physical properties such as dipole moment, heat of formation and
energy of the most stable formation of nucleotides and bases were calculated by
PM3 (modified neglect of diatomic overlap, parametric method number 3) and AM1
(Austin model 1) methods. As distinct from previous calculations, for
nucleotides the interaction with neighbours is taken into account up to
gradient of convergence equaling 1. The dependences of these variables from the
place in the codon and the determinative degree were obtained. The difference
of these variables for codons and anticodons is shown.


title:
Sparsistency and rates of convergence in large covariance matrix
  estimation

abstract:
  This paper studies the sparsistency and rates of convergence for estimating
sparse covariance and precision matrices based on penalized likelihood with
nonconvex penalty functions. Here, sparsistency refers to the property that all
parameters that are zero are actually estimated as zero with probability
tending to one. Depending on the case of applications, sparsity priori may
occur on the covariance matrix, its inverse or its Cholesky decomposition. We
study these three sparsity exploration problems under a unified framework with
a general penalty function. We show that the rates of convergence for these
problems under the Frobenius norm are of order $(s_n\log p_n/n)^{1/2}$, where
$s_n$ is the number of nonzero elements, $p_n$ is the size of the covariance
matrix and $n$ is the sample size. This explicitly spells out the contribution
of high-dimensionality is merely of a logarithmic factor. The conditions on the
rate with which the tuning parameter $\lambda_n$ goes to 0 have been made
explicit and compared under different penalties. As a result, for the
$L_1$-penalty, to guarantee the sparsistency and optimal rate of convergence,
the number of nonzero elements should be small: $s_n'=O(p_n)$ at most, among
$O(p_n^2)$ parameters, for estimating sparse covariance or correlation matrix,
sparse precision or inverse correlation matrix or sparse Cholesky factor, where
$s_n'$ is the number of the nonzero elements on the off-diagonal entries. On
the other hand, using the SCAD or hard-thresholding penalty functions, there is
no such a restriction.


title: Local field distributions in spin glasses

abstract:
  Numerical results for the local field distributions of a family of Ising
spin-glass models are presented. In particular, the Edwards-Anderson model in
dimensions two, three, and four is considered, as well as spin glasses with
long-range power-law-modulated interactions that interpolate between a
nearest-neighbour Edwards-Anderson system in one dimension and the
infinite-range Sherrington-Kirkpatrick model. Remarkably, the local field
distributions only depend weakly on the range of the interactions and the
dimensionality, and show strong similarities except for near zero local field.


title: Coding for Network Coding

abstract:
  We consider communication over a noisy network under randomized linear
network coding. Possible error mechanism include node- or link- failures,
Byzantine behavior of nodes, or an over-estimate of the network min-cut.
Building on the work of Koetter and Kschischang, we introduce a probabilistic
model for errors. We compute the capacity of this channel and we define an
error-correction scheme based on random sparse graphs and a low-complexity
decoding algorithm. By optimizing over the code degree profile, we show that
this construction achieves the channel capacity in complexity which is jointly
quadratic in the number of coded information bits and sublogarithmic in the
error probability.


title: A Support Theorem for the Geodesic Ray Transform of Functions

abstract:
  Let $(M,g)$ be a simple Riemannian manifold. Under the assumption that the
metric $g$ is real-analytic, it is shown that if the geodesic ray transform of
a function $f\in L^{2}(M)$ vanishes on an appropriate open set of geodesics,
then $f=0$ on the set of points lying on these geodesics. The approach is based
on a microlocal version of unique continuation of analytic functions.


title:
Sequential Analysis Techniques for Correlation Studies in Particle
  Astronomy

abstract:
  Searches for statistically significant correlations between arrival
directions of ultra-high energy cosmic rays and classes of astrophysical
objects are common in astroparticle physics. We present a method to test
potential correlation signals of a priori unknown strength and evaluate their
statistical significance sequentially, i.e., after each incoming new event in a
running experiment. The method can be applied to data taken after the test has
concluded, allowing for further monitoring of the signal significance. It
adheres to the likelihood principle and rigorously accounts for our ignorance
of the signal strength.


title: Nf=2+1 dynamical Wilson quark simulation toward the physical point

abstract:
  We present preliminary results of the PACS-CS project which simulates 2+1
flavor lattice QCD toward the physical point with the nonperturbatively
O(a)-improved Wilson quark action and the Iwasaki gauge action. Calculations
are carried out at beta=1.9 on a 32^3x64 lattice with the use of the
domain-decomposed HMC algorithm to reduce the up-down quark mass. The resulting
pseudoscalar meson masses range from 730 MeV down to 210 MeV. We discuss the
physical results including the chiral analysis in the pseudoscalar meson sector
and the hadron spectrum. Some algorithmic issues are also discussed.


title:
Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's
  Butterfly Spectrum

abstract:
  Quantum systems with Hofstadter's butterfly spectrum are of fundamental
interest to many research areas. Based upon slight modifications of existing
cold-atom experiments, a cold-atom realization of quantum maps with
Hofstadter's butterfly spectrum is proposed. Connections and differences
between our realization and the kicked Harper model are identified. This work
also exposes, for the first time, a simple connection between the kicked Harper
model and the kicked rotor model, the two paradigms of classical and quantum
chaos.


title: A recursion equation for prime numbers

abstract:
  It is shown that the first $n$ prime numbers $p_1,...,p_n$ determine the next
one by the recursion equation $$ p_{n+1} =\lim\limits_{s\to +\infty}
[\prod\limits^n_{k=1} (1-\frac{1}{p^s_k}) \sum\limits^\infty_{j=1}
\frac{1}{j^s} -1]^{-1/s}. $$ The upper limit on the sum can be replaced by
$2p_n -1$, and the result still holds.


title: Braid Group Cryptography

abstract:
  In the last decade, a number of public key cryptosystems based on com-
binatorial group theoretic problems in braid groups have been proposed. We
survey these cryptosystems and some known attacks on them.
  This survey includes: Basic facts on braid groups and on the Garside normal
form of its elements, some known algorithms for solving the word problem in the
braid group, the major public-key cryptosystems based on the braid group, and
some of the known attacks on these cryptosystems. We conclude with a discussion
of future directions (which includes also a description of cryptosystems which
are based on other non-commutative groups).


title:
Electronic structures and lattice dynamics of BaTiO3 and BiFeO3 : a
  comparative first-principles study

abstract:
  First-principles calculations were performed to investigate the ferroelectric
properties of barium titanate and bismuth ferrite, as well as phonon dispersion
of BaTiO3, using density functional theory and density functional perturbation
theory. Results show that the strong hybridization of Ti-O and Bi-O lead to the
corresponding mechanisms for stabilizing the distorted structure. The
spontaneous polarization of 59.4 \mu C/cm2 and 27.6 \mu C/cm2 were calculated
for BiFeO3 and BaTiO3 respectively, using berry phase method within the modern
theory of polarization. The stereochemical activity of Bi-6s long-pair, which
was the driven mechanism for ferroelectricity in BiFeO3, was able to produce
greater polarization than the Ti off-centring displacement in BaTiO3. New
multiferroic perovskite type materials combined with these two ferroelectric
instabilities were predicted to have a better ferromagnetic ordering in
comparison with BiFeO3.


title: Energetic di-leptons from the Quark Gluon Plasma

abstract:
  In this paper we study the production of energetic di-leptons. We calculate
the rate for 2 $\to$ 2 processes. The log term is obtained analytically and the
constant term is calculated numerically. When the photon mass is of the order
of the thermal quark mass, the result is insensitive to the photon mass and the
soft logarithmic divergence is regulated by the thermal quark mass, exactly as
in the case of real photons. We also consider the production of thermal
Drell-Yan dileptons (thermal quark and antiquark pairs produced by virtual
photons) and calculate the rate systematically in the context of the hard
thermal loop effective theory. We obtain analytic and numerical results. We
compare our results with those of previous calculations.


title: Tensor product of coherent systems

abstract:
  Let X be a smooth algebraic curve of genus g>=2. A stable vector bundle over
X of degree d, rank n with at least k sections is called a Brill-Noether bundle
of type (n,d,k). By tensoring coherent systems, we prove that most of the known
Brill-Noether bundles define coherent systems of type (n,d,k) that are
alpha-stables for all allowable alpha .


title: Piecewise Linear Phase Transitions

abstract:
  It is shown how simple assumptions lead to piecewise linear behavior, which
is observed in certain phase transitions.


title:
Flare Ribbons Observed with G-band and FeI 6302A Filters of the Solar
  Optical Telescope on Board Hinode

abstract:
  The Solar Optical Telescope (SOT) on board Hinode satellite observed an X3.4
class flare on 2006 December 13. Typical two-ribbon structure was observed, not
only in the chromospheric CaII H line but also in G-band and FeI 6302A line.
The high-resolution, seeing-free images achieved by SOT revealed, for the first
time, the sub-arcsec fine structures of the "white light" flare. The G-band
flare ribbons on sunspot umbrae showed a sharp leading edge followed by a
diffuse inside, as well as previously known core-halo structure. The underlying
structures such as umbral dots, penumbral filaments and granules were visible
in the flare ribbons. Assuming that the sharp leading edge was directly heated
by particle beam and the diffuse parts were heated by radiative back-warming,
we estimate the depth of the diffuse flare emission using the intensity profile
of the flare ribbon. We found that the depth of the diffuse emission is about
100 km or less from the height of the source of radiative back-warming. The
flare ribbons were also visible in the Stokes-V images of FeI 6302A, as a
transient polarity reversal. This is probably related to "magnetic transient"
reported in the literature. The intensity increase in Stokes-I images indicates
that the FeI 6302A line was significantly deformed by the flare, which may
cause such a magnetic transient.


title:
Classification of the conditionally observable spectra exhibiting
  central symmetry

abstract:
  We show how in PT-symmetric 2J-level quantum systems the assumption of an
upside-down symmetry (or duality) of their spectra simplifies their
classification based on the non-equivalent pairwise mergers of the energy
levels.


title: Multiple eigenvalues

abstract:
  The dimensions of sets of matrices of various types, with specified
eigenvalue multiplicities, are determined. The dimensions of the sets of
matrices with given Jordan form and with given singular value multiplicities
are also found. Each corresponding codimension is the number of conditions
which a matrix of the given type must satisfy in order to have the specified
multiplicities.


title:
An Adaptive Checkpointing Scheme for Peer-to-Peer Based Volunteer
  Computing Work Flows

abstract:
  Volunteer Computing, sometimes called Public Resource Computing, is an
emerging computational model that is very suitable for work-pooled parallel
processing. As more complex grid applications make use of work flows in their
design and deployment it is reasonable to consider the impact of work flow
deployment over a Volunteer Computing infrastructure. In this case, the inter
work flow I/O can lead to a significant increase in I/O demands at the work
pool server. A possible solution is the use of a Peer-to- Peer based parallel
computing architecture to off-load this I/O demand to the workers; where the
workers can fulfill some aspects of work flow coordination and I/O checking,
etc. However, achieving robustness in such a large scale system is a
challenging hurdle towards the decentralized execution of work flows and
general parallel processes. To increase robustness, we propose and show the
merits of using an adaptive checkpoint scheme that efficiently checkpoints the
status of the parallel processes according to the estimation of relevant
network and peer parameters. Our scheme uses statistical data observed during
runtime to dynamically make checkpoint decisions in a completely de-
centralized manner. The results of simulation show support for our proposed
approach in terms of reduced required runtime.


title: Neutralino Dark Matter in Light Higgs Boson Scenario

abstract:
  Phenomenology of neutralino dark matter in the minimal supersymmetric model
is discussed for a scenario where the lightest Higgs boson mass is lighter than
114.4 GeV. We show that the scenario is consistent not only with many collider
experiments but also with the observed relic abundance of dark matter. The
allowed region may be probed by experiments of Bs to mu^+ mu^- in near future.
The scenario predicts a large scattering cross section between the dark matter
and ordinary matter and thus it may be tested in present direct detection
experiments of dark matter.


title:
The Higgs search of the MSSM with explicit CP violation at the LHC and
  ILC

abstract:
  We study the neutral Higgs sector of the minimal supersymmetric standard
model (MSSM) with explicit CP violation at the one-loop level. We take into
account the one-loop contributions by the top quark, the stop quarks, the
bottom quark, the sbottom quarks, the tau lepton, the stau leptons, the $W$
boson, the charged Higgs boson, the charginos, the $Z$ boson, the neutral Higgs
bosons, and the neutralinos. The production cross sections of the neutral Higgs
boson are calculated to the leading order. The processes in our consideration
are divided in two groups: the Higgs-strahlung and gluon fusion processes
accessible at the CERN Large Hadron Collider (LHC), and the vector boson fusion
and Higgs-strahlung processes accessible at the $e^+e^-$ International Linear
Collider (ILC). In particular, we investigate the dependence of these processes
on the CP phase arising from the U(1) factor of the gaugino mass in the
neutralino mass matrix. We show that the cross sections of these processes vary
by the range of 3% $-$ 19 % as the CP phase changes from zero to $\pi$.


title:
Large-Amplitude Oscillation of an Erupting Filament as Seen in EUV,
  H-alpha and Microwave Observations

abstract:
  We present multiwavelength observations of a large-amplitude oscillation of a
polar crown filament on 15 October 2002. The oscillation occurred during the
slow rise (about 1 km/s) of the filament. It completed three cycles before
sudden acceleration and eruption. The oscillation and following eruption were
clearly seen in observations recorded by the Extreme-Ultraviolet Imaging
Telescope onboard SOHO. The oscillation was seen only in a part of the
filament, and it appears to be a standing oscillation rather than a propagating
wave. The period of oscillation was about two hours and did not change
significantly during the oscillation. We also identified the oscillation as a
"winking filament" in the H-alpha images taken by the Flare Monitoring
Telescope, and as a spatial displacement in 17 GHz microwave images from
Nobeyama Radio Heliograph (NoRH). The filament oscillation seems to be
triggered by magnetic reconnection between a filament barb and nearby emerging
magnetic flux as was evident from the MDI magnetogram observations. No flare
was observed to be associated with the onset of the oscillation. We also
discuss possible implications of the oscillation as a diagnostic tool for the
eruption mechanisms. We suggest that in the early phase of eruption a part of
the filament lost its equilibrium first, while the remaining part was still in
an equilibrium and oscillated.


title:
K to pi pi Amplitudes at Unphysical Kinematics Using Domain Wall
  Fermions

abstract:
  The use of chiral perturbation theory in extracting physical K to pi pi
matrix elements from matrix elements calculated at unphysical kinematics is
outlined. In particular, the possibility of utilizing pions with non-zero
momentum in the final state, and of using partial quenching is discussed.
Preliminary (not physically normalized) Delta I=3/2 (27,1) K to pi pi matrix
elements are calculated on the RBC/UKQCD $24^3 \times 64$, $L_s=16$ lattices,
using 2+1 dynamical flavors and domain wall fermions, with an inverse lattice
spacing of $a^{-1}=1.729(28) GeV$. Effective mass plots are presented for a
light sea quark mass of $m_l^{sea}=0.005$, and various valence quark masses.
The plateaux are fit and $E_{\pi\pi}-m_K$ is extracted.


title:
Phase-dependent X-ray observations of the beta Lyrae system: No eclipse
  in the soft band

abstract:
  We report on observations of the eclipsing and interacting binary beta Lyrae
from the Suzaku X-ray telescope. This system involves an early B star embedded
in an optically and geometrically thick disk that is siphoning atmospheric
gases from a less massive late B II companion. Motivated by an unpublished
X-ray spectrum from the Einstein X-ray telescope suggesting unusually hard
emission, we obtained time with Suzaku for pointings at three different phases
within a single orbit. From the XIS detectors, the softer X-ray emission
appears typical of an early-type star. What is surprising is the remarkably
unchanging character of this emission, both in luminosity and in spectral
shape, despite the highly asymmetric geometry of the system. We see no eclipse
effect below 10 keV. The constancy of the soft emission is plausibly related to
the wind of the embedded B star and Thomson scattering of X-rays in the system,
although it might be due to extended shock structures arising near the
accretion disk as a result of the unusually high mass-transfer rate. There is
some evidence from the PIN instrument for hard emission in the 10-60 keV range.
Follow-up observations with the RXTE satellite will confirm this preliminary
detection.


title:
Semi-parametric second-order efficient estimation of the period of a
  signal

abstract:
  This paper is concerned with the estimation of the period of an unknown
periodic function in Gaussian white noise. A class of estimators of the period
is constructed by means of a penalized maximum likelihood method. A
second-order asymptotic expansion of the risk of these estimators is obtained.
Moreover, the minimax problem for the second-order term is studied and an
estimator of the preceding class is shown to be second order efficient.


title: Nuclear Effects in Neutrino Structure Functions

abstract:
  We discuss calculation of nuclear corrections to the structure functions for
the deep-inelastic scattering of muon and (anti)neutrino. Our approach includes
a QCD description of the nucleon structure functions as well as the treatment
of Fermi motion and nuclear binding, off-shell correction to bound nucleon
structure functions, nuclear pion excess and nuclear shadowing. We emphasize
the dependence of nuclear effects on the type and C-parity of (anti)neutrino
structure functions. We also examine the interplay between different nuclear
effects in the Adler and the Gross-Llewellyn-Smith sum rules for nuclei.


title: Moment estimation for ergodic diffusion processes

abstract:
  We investigate the moment estimation for an ergodic diffusion process with
unknown trend coefficient. We consider nonparametric and parametric estimation.
In each case, we present a lower bound for the risk and then construct an
asymptotically efficient estimator of the moment type functional or of a
parameter which has a one-to-one correspondence to such a functional. Next, we
clarify a higher order property of the moment type estimator by the Edgeworth
expansion of the distribution function.


title: Maximum directed cuts in digraphs with degree restriction

abstract:
  For integers m,k >= 1, we investigate the maximum size of a directed cut in
directed graphs in which there are m edges and each vertex has either indegree
at most k or outdegree at most k.


title: On b-perfect chordal graphs

abstract:
  The b-chromatic number of a graph G is the largest integer k such that G has
a coloring of the vertices in k color classes such that every color class
contains a vertex that has a neighbour in all other color classes. We
characterize the class of chordal graphs for which the b-chromatic number is
equal to the chromatic number for every induced subgraph.


title: The iTEBD algorithm beyond unitary evolution

abstract:
  The infinite time-evolving block decimation (iTEBD) algorithm [Phys. Rev.
Lett. 98, 070201 (2007)] allows to simulate unitary evolution and to compute
the ground state of one-dimensional quantum lattice systems in the
thermodynamic limit. Here we extend the algorithm to tackle a much broader
class of problems, namely the simulation of arbitrary one-dimensional evolution
operators that can be expressed as a (translationally invariant) tensor
network. Relatedly, we also address the problem of finding the dominant
eigenvalue and eigenvector of a one-dimensional transfer matrix that can be
expressed in the same way. New applications include the simulation, in the
thermodynamic limit, of open (i.e. master equation) dynamics and thermal states
in 1D quantum systems, as well as calculations with partition functions in 2D
classical systems, on which we elaborate. The present extension of the
algorithm also plays a prominent role in the infinite projected entangled-pair
states (iPEPS) approach to infinite 2D quantum lattice systems.


title: Axion Photon Oscillations From a "Particle-Antiparticle" View Point

abstract:
  We observe that it is very usefull to introduce a complex field for the axion
photon system in an external magnetic field, when for example considered with
the geometry of the experiments exploring axion photon mixing, where the real
part is the axion and the imaginary part is the photon polarization that
couples to the axion when the magnetic field is present. In the absence of the
external magnetic field, the theory displays charge conjugation symmetry. In
this formulation the axion and photon are the symmetric and antisymmetric
combinations of particle and antiparticle (as defined from the complex field)
respectively and they do not mix if the external magnetic field is set to zero.
The magnetic field interaction is seen to be equivalent to first order to the
interaction of the complex charged field with an external electric potential,
where this ficticious "electric potential" is proportional to the external
magnetic field. This interaction breaks the charge conjugation symmetry and
therefore symmetric and antysymmetric combinations are not mantained in time.
As a result one obtains axion photon mixing in the presence of an external
magnetic field, a well known result understood in a different way.


title: Strange quark condensate from QCD sum rules to five loops

abstract:
  It is argued that it is valid to use QCD sum rules to determine the scalar
and pseudoscalar two-point functions at zero momentum, which in turn determine
the ratio of the strange to non-strange quark condensates $R_{su} =
\frac{<\bar{s} s>}{<\bar{q} q>}$ with ($q=u,d$). This is done in the framework
of a new set of QCD Finite Energy Sum Rules (FESR) that involve as integration
kernel a second degree polynomial, tuned to reduce considerably the systematic
uncertainties in the hadronic spectral functions. As a result, the parameters
limiting the precision of this determination are $\Lambda_{QCD}$, and to a
major extent the strange quark mass. From the positivity of $R_{su}$ there
follows an upper bound on the latter: $\bar{m_{s}} (2 {GeV}) \leq 121 (105)
{MeV}$, for $\Lambda_{QCD} = 330 (420) {MeV} .$


title: Tilings of space and superhomogeneous point processes

abstract:
  We consider the construction of point processes from tilings, with equal
volume tiles, of d-dimensional Euclidean space. We show that one can generate,
with simple algorithms ascribing one or more points to each tile, point
processes which are "superhomogeneous'' (or "hyperuniform''), i.e., for which
the structure factor S(k) vanishes when the wavenumber k tends to zero. The
exponent of the leading small-k behavior depends in a simple manner on the
nature of the correlation properties of the specific tiling and on the
conservation of the mass moments of the tiles. Assigning one point to the
center of mass of each tile gives the exponent \gamma=4 for any tiling in which
the shapes and orientations of the tiles are short-range correlated. Smaller
exponents, in the range 4-d<\gamma<4 (and thus always superhomogeneous for
d\leq 4), may be obtained in the case that the latter quantities have
long-range correlations. Assigning more than one point to each tile in an
appropriate way, we show that one can obtain arbitrarily higher exponents in
both cases. We illustrate our results with explicit constructions using known
deterministic tilings, as well as some simple stochastic tilings for which we
can calculate S(k) exactly. Our results provide, we believe, the first explicit
analytical construction of point processes with \gamma > 4. Applications to
condensed matter physics, and also to cosmology, are briefly discussed.


title: Iterative Filtering for a Dynamical Reputation System

abstract:
  The paper introduces a novel iterative method that assigns a reputation to n
+ m items: n raters and m objects. Each rater evaluates a subset of objects
leading to a n x m rating matrix with a certain sparsity pattern. From this
rating matrix we give a nonlinear formula to define the reputation of raters
and objects. We also provide an iterative algorithm that superlinearly
converges to the unique vector of reputations and this for any rating matrix.
In contrast to classical outliers detection, no evaluation is discarded in this
method but each one is taken into account with different weights for the
reputation of the objects. The complexity of one iteration step is linear in
the number of evaluations, making our algorithm efficient for large data set.
Experiments show good robustness of the reputation of the objects against
cheaters and spammers and good detection properties of cheaters and spammers.


title:
Macroscopical Entangled Coherent State Generator in V configuration atom
  system

abstract:
  In this paper, we propose a scheme to produce pure and macroscopical
entangled coherent state. When a three-level ''V'' configuration atom interacts
with a doubly reasonant cavity, under the strong classical driven condition,
entangled coherent state can be generated from vacuum fields. An analytical
solution for this system under the presence of cavity losses is also given.


title: Modelling the Navigation Potential of a Web Page

abstract:
  Suppose that you are navigating in ``hyperspace'' and you have reached a web
page with several outgoing links you could choose to follow. Which link should
you choose in such an online scenario? When you are not sure where the
information you require resides, you will initiate a navigation session. This
involves pruning some of the links and following one of the others, where more
pruning is likely to happen the deeper you navigate. In terms of decision
making, the utility of navigation diminishes with distance until finally the
utility drops to zero and the session is terminated. Under this model of
navigation, we call the number of nodes that are available after pruning, for
browsing within a session, the {\em potential gain} of the starting web page.
Thus the parameters that effect the potential gain are the local branching
factor with respect to the starting web page and the discount factor.
  We first consider the case when the discounting factor is geometric. We show
that the distribution of the effective number of links that the user can follow
at each navigation step after pruning, i.e. the number of nodes added to the
potential gain at that step, is given by the {\em erf} function. We derive an
approximation to the potential gain of a web page and show that this is
numerically a very accurate estimate. We then consider a harmonic discounting
factor and show that, in this case, the potential gain at each step is closely
related to the probability density function for the Poisson distribution.
  The potential gain has been applied to web navigation where it helps the user
to choose a good starting point for initiating a navigation session. Another
application is in social network analysis, where the potential gain could
provide a novel measure of centrality.


title:
Experimental evidence for the separability of compound-nucleus and
  fragment properties in fission

abstract:
  The large body of experimental data on nuclear fission is analyzed with a
semi-empirical ordering scheme based on the macro-microscopic approach and the
separability of compound-nucleus and fragment properties on the fission path.
We apply the statistical model to the non-equilibrium descent from saddle to
scission, taking the influence of dynamics into account by an early freeze out.
The present approach reveals a large portion of common features behind the
variety of the complex observations made for the different systems. General
implications for out-of-equilibrium processes are mentioned.


title:
The classification and the conjugacy classes of the finite subgroups of
  the sphere braid groups

abstract:
  Let n\geq 3. We classify the finite groups which are realised as subgroups of
the sphere braid group B_n(S^2). Such groups must be of cohomological period 2
or 4. Depending on the value of n, we show that the following are the maximal
finite subgroups of B_n(S^2): Z_{2(n-1)}; the dicyclic groups of order 4n and
4(n-2); the binary tetrahedral group T_1; the binary octahedral group O_1; and
the binary icosahedral group I. We give geometric as well as some explicit
algebraic constructions of these groups in B_n(S^2), and determine the number
of conjugacy classes of such finite subgroups. We also reprove Murasugi's
classification of the torsion elements of B_n(S^2), and explain how the finite
subgroups of B_n(S^2) are related to this classification, as well as to the
lower central and derived series of B_n(S^2).


title:
Thermodynamic Evidence for Nanoscale Bose-Einstein Condensation in ^4He
  Confined in Nanoporous Media

abstract:
  We report the measurements of the heat capacity of ^4He confined in
nanoporous Gelsil glass that has nanopores of 2.5-nm diameter at pressures up
to 5.3 MPa. The heat capacity has a broad peak at a temperature much higher
than the superfluid transition temperature obtained using the torsional
oscillator technique. The peak provides a definite thermodynamic evidence for
the formation of localized Bose-Einstein condensates (LBECs) on nanometer
length scales. The temperature dependence of heat capacity is well described by
the excitations of phonons and rotons, supporting the existence of LBEC.


title: Chiral Symmetry Breaking in Gribov's Approach to QCD at Low Momentum

abstract:
  We consider Gribov's equation for inverse quark Green function with and
without pion correction. With polar parametrization of inverse quark Green
function, we relate the dynamical mass function without pion correction,
$M_{0}(q^2)$ and with pion correction, $M(q^2)$ at low momentum. A graph is
plotted for $M(q^2)$ and $M_{0}(q^2)$ with q for low momentum. It is found that
at low momenta pion corrections are small.


title:
Relativistic corrections of m\alpha^6 order to the ro-vibrational
  spectrum of H_2^+ and HD^+ molecular ions

abstract:
  The major goal of the high-precision studies of ro-vibrational states in the
hydrogen molecular ions is to provide an alternative way for improving the
electron-to-proton mass ratio, or the atomic mass of electron. By now the
complete set of relativistic and radiative corrections have been obtained for a
wide range of ro-vibrational states of H_2^+ and HD^+ up to order
R_\infty\alpha^4. In this work we complete calculations of various
contributions to the R_\infty\alpha^4 order by computing the relativistic
corrections to the binding energy of electron.


title: The network approach: basic concepts and algorithms

abstract:
  What is a complex network? How do we characterize complex networks? Which
systems can be studied from a network approach? In this text, we motivate the
use of complex networks to study and understand a broad panoply of systems,
ranging from physics and biology to economy and sociology. Using basic tools
from statistical physics, we will characterize the main types of networks found
in nature. Moreover, the most recent trends in network research will be briefly
discussed.


title: Hard Exclusive Photoproduction of Phi and J/Psi Mesons

abstract:
  We calculate the leading-order perturbative contribution to $\gamma p \to
M_{V} p$, with $M_V$ being a $\Phi$ or $J/\Psi$ meson, in the kinematic region
of large energy and scattering angle.


title:
Remark to the paper Describing the set of words generated by interval
  exchange transformation, posted 15 November 2007

abstract:
  Let us call subdivision {\it good}, if 1) set corresponding to each symbol is
convex (i.e. interval or (semi)closed interval). 2) If points $A$ and $B$
corresponds to the some color and interval $(A,B)$ has discontinuity point,
then $f(A)$ and $f(B)$ has different color. Every subdivision can be further
divided into good subdivision, old superword can be obtained from new one by
gluing letters. Hence in the section ``Equivalence of the set of uniformly
recurrent words generated by piecewise-continuous transformation to the set of
words generated by interval exchange transformation'' one can consider only
good subdivision.


title: Unitarity plus causality implies localizability

abstract:
  We consider a graph with a single quantum system at each node. The entire
compound system evolves in discrete time steps by iterating a global evolution
$U$. We require that this global evolution $U$ be unitary, in accordance with
quantum theory, and that this global evolution $U$ be causal, in accordance
with special relativity. By causal we mean that information can only ever be
transmitted at a bounded speed, the speed bound being quite naturally that of
one edge of the underlying graph per iteration of $U$. We show that under these
conditions the operator $U$ can be implemented locally; i.e. it can be put into
the form of a quantum circuit made up with more elementary operators -- each
acting solely upon neighbouring nodes. We take quantum cellular automata as an
example application of this representation theorem: this analysis bridges the
gap between the axiomatic and the constructive approaches to defining QCA.
KEYWORDS: Quantum cellular automata, Unitary causal operators, Quantum walks,
Quantum computation, Axiomatic quantum field theory, Algebraic quantum field
theory, Discrete space-time.


title: The (Anti-)Hierarchical Evolution of Disk Galaxies

abstract:
  Utilizing spatially resolved VLT/FORS spectroscopy and HST/ACS imaging, we
constructed a sample of over 200 field spiral galaxies at redshifts 0.1<z<1.0.
We find that the ratio between stellar and total mass remains roughly constant
over the observed epochs, in compliance with the framework of hierarchical
structure growth. However, the stellar mass-to-light ratios evolve more
strongly in low-mass spirals than in high--mass spirals, indicating an
anti-hierarchical evolution of their stellar populations (aka "down-sizing").


title: Hidden-variable theory versus Copenhagen quantum mechanics

abstract:
  The main assumptions the Copenhagen quantum mechanics has been based on will
be summarized and the known (not yet decided) contradiction between Einstein
and Bohr will be newly analyzed. The given assumptions have been represented
basically by time-dependent Schroedinger equation, to which some further
assumptions have been added. Some critical comments have been raised against
the given mathematical model structure by Pauli (1933) and by Susskind and
Glogover (1964). They may be removed if only the Schroedinger equation is
conserved and the additional assumptions are abandoned, as shown recently. It
seems to be in contradiction to the numerous declarations that the Copenhagen
model has been approved by experimental results.
  However, in the most of these experiments only the agreement with the mere
Schroedinger equation has been tested. All mentioned assumptions have been
tested practically only in the EPR experiment (measurement of coincidence light
transmission through two polarizers) proposed originally by Einstein (1935).
Also these experimental results have been interpreted as supporting the
Copenhagen alternative, which has not been, however, true. In fact the
microscopic world may be described correspondingly only with the help of the
hidden-variable theory that is represented by the Schroedinger equation without
mentioned additional assumptions, which has the consequence that the earlier
interpretation gap between microscopic and macroscopic worlds has been removed.
The only difference concerns the existence of discrete states. The
possibilities of the human reason of getting to know the nature will be also
shortly discussed in the beginning of this contribution.


title:
OGLE-TR-211 - a new transiting inflated hot Jupiter from the OGLE survey
  and ESO LP666 spectroscopic follow-up program

abstract:
  We present results of the photometric campaign for planetary and
low-luminosity object transits conducted by the OGLE survey in 2005 season
(Campaign #5). About twenty most promising candidates discovered in these data
were subsequently verified spectroscopically with the VLT/FLAMES spectrograph.
  One of the candidates, OGLE-TR-211, reveals clear changes of radial velocity
with small amplitude of 82 m/sec, varying in phase with photometric transit
ephemeris. Thus, we confirm the planetary nature of the OGLE-TR-211 system.
Follow-up precise photometry of OGLE-TR-211 with VLT/FORS together with radial
velocity spectroscopy supplemented with high resolution, high S/N VLT/UVES
spectra allowed us to derive parameters of the planet and host star.
OGLE-TR-211b is a hot Jupiter orbiting a F7-8 spectral type dwarf star with the
period of 3.68 days. The mass of the planet is equal to 1.03+/-0.20 M_Jup while
its radius 1.36+0.18-0.09 R_Jup. The radius is about 20% larger than the
typical radius of hot Jupiters of similar mass. OGLE-TR-211b is, then, another
example of inflated hot Jupiters - a small group of seven exoplanets with large
radii and unusually small densities - objects being a challenge to the current
models of exoplanets.


title: Fidelity for imperfect postselection

abstract:
  We describe a simple measure of fidelity for mixed state postselecting
devices. The measure is most appropriate for postselection where the task
performed by the output is only effected by a specific state.


title:
Combining astrometry with the light-time effect: The case of VW Cep,
  zeta Phe and HT Vir

abstract:
  Three eclipsing binary systems with astrometric orbit have been studied. For
a detailed analysis two circular-orbit binaries (VW Cep and HT Vir) and one
binary with an eccentric orbit (zeta Phe) have been chosen. Merging together
astrometry and the analysis of the times of minima, one is able to describe the
orbit of such a system completely. The O-C diagrams and the astrometric orbits
of the third bodies were analysed simultaneously for these three systems by the
least-squares method. The introduced algorithm is useful and powerful, but also
time consuming, due to many parameters which one is trying to derive. The new
orbits for the third bodies in these systems were found with periods 30, 221,
and 261 yr, and eccentricities 0.63, 0.37, and 0.64 for VW Cep, zeta Phe, and
HT Vir, respectively. Also an independent approach to compute the distances to
these systems was used. The use of this algorithm to VW Cep gave the distance
d=(27.90 +/- 0.29) pc, which is in excellent agreement with the previous
Hipparcos result.


title: Resonant light delay in GaN with ballistic and diffusive propagation

abstract:
  We report on a strong delay in light propagation through bulk GaN, detected
by time-of-flight spectroscopy. The delay increases resonantly as the photon
energy approaches the energy of a neutral-donor bound exciton (BX), resulting
in a velocity of light as low as 2100 km/s. In the close vicinity of the BX
resonance, the transmitted light contains both ballistic and diffusive
components. This phenomenon is quantitatively explained in terms of optical
dispersion in a medium where resonant light scattering by the BX resonance
takes place in addition to the polariton propagation.


title:
Correlated tunneling and the instability of the fractional quantum Hall
  edge

abstract:
  We consider a class of interaction terms that describes correlated tunneling
of composite fermions between effective Landau levels. Despite being generic
and of similar strength to that of the usual density-density couplings, these
terms are not included in the accepted theory of the edges of fractional
quantum Hall systems. Here we show that they may lead to an instability of the
edge towards a new reconstructed state with additional channels, and thereby
demonstrate the incompleteness of the traditional edge theory.


title: Self-dual, dual-containing and related quantum codes from group rings

abstract:
  Classes of self-dual codes and dual-containing codes are constructed. The
codes are obtained within group rings and, using an isomorphism between group
rings and matrices, equivalent codes are obtained in matrix form. Distances and
other properties are derived by working within the group ring. Quantum codes
are constructed from the dual-containing codes.


title:
Coupling of magnetization and structural distortions in multiferroic
  BiFeO3 : an ab initio density functional theory study

abstract:
  This paper has been withdrawn by the author due to a crucial citing error in
equation 4.


title:
A search for the optical counterpart to the magnetar CXOU
  J010043.1-721134

abstract:
  After our tentative detection of an optical counterpart to CXOU
J010043.1-721134 from archival Hubble Space Telescope (HST) imaging, we have
followed up with further images in four bands. Unfortunately, the source
originally identified is not confirmed. We provide deep photometric limits in
four bands and accurate photometry of field stars around the location of the
magnetar.


title: Cohomological Aspects of Gauge Invariance in the Causal Approach

abstract:
  Quantum theory of the gauge models in the causal approach leads to some
cohomology problems. We investigate these problems in detail.


title:
Power scalability as a precise concept for the evaluation of laser
  architectures

abstract:
  This paper establishes power scaling of lasers as a clearly defined concept,
based on a power scaling procedure which must satisfy various criteria. It is
demonstrated that this concept creates useful insight particularly for the
evaluation of the future performance potential of different laser
architectures, and for identifying technological aspects which will need to be
modified for generating higher powers. It turns out that some aspects (such as
e.g. thermal lensing in thin disk lasers) can have rather benign scaling
properties, not causing problems even at very high power levels, while other
aspects can become essential even if they initially may have appeared to be
insignificant.


title: Cepheids as tracers of the metallicity gradient across the Galactic disk

abstract:
  We present iron abundance measurements, based on high resolution
spectroscopy, and accurate distance determinations, based on near infrared
photometry, for 34 Galactic Cepheids. The new data are used to constrain the
Galactic iron abundance gradient in the outer disk, namely from 10 to 14 kpc.
We confirm the flattening of the gradient toward the outer disk. In this region
we also found an increase in the metallicity dispersion. Current data do not
support the occurrence of a jump in the metallicity gradient for Galactocentric
distances of the order of 10-12 kpc.


title: Perturbative Results Without Diagrams

abstract:
  Higher-order perturbative calculations in Quantum (Field) Theory suffer from
the factorial increase of the number of individual diagrams. Here I describe an
approach which evaluates the total contribution numerically for finite
temperature from the cumulant expansion of the corresponding observable
followed by an extrapolation to zero temperature. This method (originally
proposed by Bogolyubov and Plechko) is applied to the calculation of
higher-order terms for the ground-state energy of the polaron. Using
state-of-the-art multidimensional integration routines 2 new coefficients are
obtained corresponding to a 4- and 5-loop calculation.


title: Cosmological applications of a geometrical interpretation of "c"

abstract:
  We make the hypothesis that the velocity of light and the expansion of the
universe are two aspects of one single concept connecting space and time in the
expanding universe. We show that solving Friedman's equations with that
interpretation (keeping c = constant) could explain number of unnatural
features of the standard cosmology. We thus examine in that light the flatness
and the quintessence problems, the problem of the observed uniformity in term
of temperature and density of the cosmological background radiation and the
small-scale inhomogeneity problem. We finally show that using this
interpretation of c leads to reconsider the Hubble diagram of distance moduli
and redshifts as obtained from recent observations of type Ia supernovae
without having to need an accelerating universe.


title: Physics with ep collisions at highest Q2 and Pt at the HERA collider

abstract:
  The HERA collider with its center of mass energy of 318 GeV makes it possible
to study a wide range of electroweak physics as well as to search for physics
beyond the Standard Model (SM). In this article, recent results, obtained by
the two collider experiments H1 and ZEUS, are reviewed. The cross sections for
inclusive neutral current and charged current processes are shown, and results
from a combined electroweak and QCD analysis of the data are discussed.
Selected results from searches for physics beyond the SM are presented.


title: Radiatively induced finite and (un)determined Chern-Simons-like terms

abstract:
  The problem of Chern-Simons-like term induction via quantum corrections in
four-dimensions is investigated in two different cases. In the first case, we
consider two distinct approaches to deal with the exact fermion propagator of
the extended QED theory up to the first order in the $b$-coefficient. We find
different results for distinct approaches in the same regularization scheme. In
the second case, we show that when we use a modified derivative expansion
method and another regularization scheme, we obtain a result that exactly
coincides with one of the results obtained in the former case. This seems to
imply an ambiguity absence as one treats the fermion propagator and the
self-energy tensor properly.


title: Comparison of cloud models for Brown Dwarfs

abstract:
  A test case comparison is presented for different dust cloud model approaches
applied in brown dwarfs and giant gas planets. We aim to achieve more
transparency in evaluating the uncertainty inherent to theoretical modelling.
We show in how far model results for characteristic dust quantities vary due to
different assumptions. We also demonstrate differences in the spectral energy
distributions resulting from our individual cloud modelling in 1D substellar
atmosphere simulations


title:
Blowup/scattering alternative for a discrete family of static critical
  solutions with various number of unstable eigenmodes

abstract:
  Decay of regular static spherically symmetric solutions in the SU(2)
Yang-Mills-dilaton (YMd) system of equations under the independent excitation
of their unstable eigenmodes has been studied self-consistently in the
nonlinear regime. The considered regular YMd solutions form a discrete family
and can be parametrised by the number $N=1,2,3,4...$ of their unstable
eigenmodes in linear approximation. We have obtained strong numerical evidences
in favour of the following statements: i) all static YMd solutions are distinct
local threshold configurations, separating blowup and scattering solutions; ii)
the main unstable eigenmodes are only those responsible for the
blowup/scattering alternative; iii) excitation of higher unstable eigenmodes
always leads to finite-time blowup; iv) the decay of the lowest N=1 static YMd
solution via excitation of its unique unstable mode is an exceptional case
because the resulting waves propagate as a whole without energy dispersion
revealing features peculiar to solitons. Applications of the obtained results
to Type-I gravitational collapse of massless fields are briefly discussed.


title: Hitchin's Connection in Half-Form Quantization

abstract:
  We give a differential geometric construction of a connection in the bundle
of quantum Hilbert spaces arising from half-form corrected geometric
quantization of a prequantizable, symplectic manifold, endowed with a rigid,
family of K\"ahler structures, all of which give vanishing first Dolbeault
cohomology groups. In [And1] Andersen gave an explicit construction of
Hitchin's connection in the non-corrected case using additional assumptions.
Under the same assumptions we also give an explicit solution in terms of Ricci
potentials. Morover we show that if these are carefully chosen the construction
coincides with the construction of Andersen in the non-corrected case.


title:
Overconstrained estimates of neutrinoless double beta decay within the
  QRPA

abstract:
  Estimates of nuclear matrix elements for neutrinoless double beta decay
(0nu2beta) based on the quasiparticle random phase approximations (QRPA) are
affected by theoretical uncertainties, which can be substantially reduced by
fixing the unknown strength parameter g_pp of the residual particle-particle
interaction through one experimental constraint - most notably through the
two-neutrino double beta decay (2nu2beta) lifetime. However, it has been noted
that the g_pp adjustment via 2\nu2\beta data may bring QRPA models in
disagreement with independent data on electron capture (EC) and single beta
decay (beta^-) lifetimes. Actually, in two nuclei of interest for 0nu2beta
decay (Mo-100 and Cd-116), for which all such data are available, we show that
the disagreement vanishes, provided that the axial vector coupling g_A is
treated as a free parameter, with allowance for g_A<1 (``strong quenching'').
Three independent lifetime data (2nu2beta, EC, \beta^-) are then accurately
reproduced by means of two free parameters (g_pp, g_A), resulting in an
overconstrained parameter space. In addition, the sign of the 2nu2beta matrix
element M^2nu is unambiguously selected (M^2nu>0) by the combination of all
data. We discuss quantitatively, in each of the two nuclei, these
phenomenological constraints and their consequences for QRPA estimates of the
0nu2beta matrix elements and of their uncertainties.


title: On the existence of Hamiltonians for non-holonomic systems

abstract:
  We consider the question of existence of Hamiltonians for autonomous
non-holonomic mechanical systems in this paper. The approach is elementary in
the sense that the existence of a Hamiltonian for a given non-holonomic system
is considered to be equivalent to the existence of a non-degenerate Lagrangian
for the system in question. The possible existence of such a Lagrangian is
related to the inverse problem of constructing a Lagrangian from the
appropriate equations of motion. A simple example in three dimensions with one
non-holonomic constraint is analysed in detail, and it is shown that in this
case there is no Lagrangian reproducing the equations of motion in three
dimensions. Thus the system does not admit a variational formulation in three
dimensions. However, the system in question is equivalent to a two-dimensional
system which admits a variational formulation. Two distinct Lagrangians and
their corresponding Hamiltonians are constructed explicitly for this
two-dimensional system


title:
Critical behavior of charmonia across the phase transition: A QCD sum
  rule approach

abstract:
  We investigate medium-induced change of mass and width of J/psi and eta_c
across the phase transition in hot gluonic matter using QCD sum rules. In the
QCD sum rule approach, the medium effect on heavy quarkonia is induced by the
change of both scalar and twist-2 gluon condensates, whose temperature
dependences are extracted from the lattice calculations of energy density and
pressure. Although the stability of the operator product expansion side seems
to break down at T > 1.06Tc for the vector channel and T>1.04Tc for the
pseudoscalar channel, we find a sudden change of the spectral property across
the critical temperature Tc, which originates from an equally rapid change of
the scalar gluon condensate characterized by e-3p. By parameterizing the ground
state of the spectral density by the Breit-Wigner form, we find that for both
J/psi and eta_c, the masses suddenly decrease maximally by a few hundreds of
MeV and the widths broaden to ~100 MeV slightly above Tc. Implications for
recent and future heavy ion experiments are discussed.
  We also carry out a similar analysis for charmonia in nuclear matter, which
could serve as a testing ground for observing the precursor phenomena of the
QCD phase transition. We finally discuss the possibility of observing the mass
shift at nuclear matter at the FAIR project at GSI.


title: SCET sum rules for B->P and B->V transition form factors

abstract:
  We investigate sum rules for heavy-to-light transition form factors at large
recoil derived from correlation functions with interpolating currents for light
pseudoscalar or vector fields in soft-collinear effective theory (SCET). We
consider both, factorizable and non-factorizable contributions at leading power
in the Lambda/m_b expansion and to first order in the strong coupling constant
alpha_s, neglecting contributions from 3-particle distribution amplitudes in
the B-meson. We pay particular attention to various sources of parametric and
systematic uncertainties. We also discuss certain form factor ratios where part
of the hadronic uncertainties related to the B-meson distribution amplitude and
to logarithmically enhanced alpha_s corrections cancel.


title: The out of equilibrium dynamics of the Sherrington-Kirkpatrick model

abstract:
  The analytic solution to the dynamics of the Sherrington-Kirkpatrick model
was developed in the nineties. It involves directly measurable out of
equilibrium quantities, and thus addresses the questions relevant to an
experimental system. We here review the out of equilibrium relaxation of this
model and how it compares to experimental measurements.


title: Goussarov-Polyak-Viro combinatorial formulas for finite type invariants

abstract:
  Goussarov, Polyak, and Viro proved that finite type invariants of knots are
``finitely multi-local'', meaning that on a knot diagram, sums of quantities,
defined by local information, determine the value of the knot invariant. The
result implies the existence of Gauss diagram combinatorial formulas for finite
type invariants. This article presents a simplified account of the original
approach. The simplifications provide an easy generalization to the cases of
pure tangles and pure braids. The associated problem on group algebras is
introduced and used to prove the existence of ``multi-local word formulas'' for
finite type invariants of pure braids.


title:
Non-formal deformation quantizations of solvable Ricci-type symplectic
  symmetric spaces

abstract:
  Ricci-type symplectic manifolds have been introduced and extensively studied
by M. Cahen et al.. In this note, we describe their deformation quantizations
in the split solvable symmetric case. In particular, we introduce the notion of
non-formal tempered deformation quantization on such a space. We show that the
set of tempered deformation quantizations is in one-to-one correspondence with
the space of Schwartz operator multipliers on the real line. Moreover we prove
that every invariant formal star product on a split Ricci-type solvable
symmetric space is an asymptotic expansion of a tempered non-formal
quantization. This note illustrates and partially reviews through an example a
problematic studied by the author regarding non-formal quantization in presence
of large groups of symmetries.


title: Possibly Large Corrections to the Inflationary Observables

abstract:
  We point out that the theoretical predictions for the inflationary
observables may be generically altered by the presence of fields which are
heavier than the Hubble rate during inflation and whose dynamics is usually
neglected. They introduce corrections which may be easily larger than both the
second-order contributions in the slow-roll parameters and the accuracy
expected in the forthcoming experiments.


title: Nonparametric deconvolution problem for dependent sequences

abstract:
  We consider the nonparametric estimation of the density function of weakly
and strongly dependent processes with noisy observations. We show that in the
ordinary smooth case the optimal bandwidth choice can be influenced by long
range dependence, as opposite to the standard case, when no noise is present.
In particular, if the dependence is moderate the bandwidth, the rates of
mean-square convergence and, additionally, central limit theorem are the same
as in the i.i.d. case. If the dependence is strong enough, then the bandwidth
choice is influenced by the strength of dependence, which is different when
compared to the non-noisy case. Also, central limit theorem are influenced by
the strength of dependence. On the other hand, if the density is supersmooth,
then long range dependence has no effect at all on the optimal bandwidth
choice.


title:
The Kuramoto-Sivashinsky equation in R^1 and R^2: effective estimates of
  the high-frequency tails and higher Sobolev norms

abstract:
  We consider the Kuramoto-Sivashinsky (KS) equation in finite domains of the
form $[-L,L]^d$. Our main result provides refined Gevrey estimates for the
solutions of the one dimensional differentiated KS, which in turn imply
effective new estimates for higher Sobolev norms of the solutions in terms of
powers of $L$. We illustrate our method on a simpler model, namely the
regularized Burger's equation. We also show local well-posedness for the two
dimensional KS equation and provide an explicit criteria for (eventual) blow-up
in terms of its $L^2$ norm. The common underlying idea in both results is that
{\it a priori} control of the $L^2$ norm is enough in order to conclude higher
order regularity and allows one to get good estimates on the high-frequency
tails of the solutions.


title:
Statistical mechanics of a single particle in a multiscale random
  potential: Parisi landscapes in finite dimensional Euclidean spaces

abstract:
  We construct a N-dimensional Gaussian landscape with multiscale, translation
invariant, logarithmic correlations and investigate the statistical mechanics
of a single particle in this environment. In the limit of high dimension N>>1
the free energy of the system and overlap function are calculated exactly using
the replica trick and Parisi's hierarchical ansatz. In the thermodynamic limit,
we recover the most general version of the Derrida's Generalized Random Energy
Model (GREM). The low-temperature behaviour depends essentially on the spectrum
of length scales involved in the construction of the landscape. If the latter
consists of K discrete values, the system is characterized by a K-step Replica
Symmetry Breaking solution. We argue that our construction is in fact valid in
any finite spatial dimensions $N\ge 1$. We discuss implications of our results
for the singularity spectrum describing multifractality of the associated
Boltzmann-Gibbs measure. Finally we discuss several generalisations and open
problems, the dynamics in such a landscape and the construction of a
Generalized Multifractal Random Walk.


title: BEC "level" for measuring small forces

abstract:
  We propose a device that consists of a trapped two-component phase- separated
Bose-Einstein condensate to measure small forces and map weak potential energy
landscapes. The resolution as well as the measurement precision of this device
can be set dynamically, allowing measurements at multiple scales.


title:
Weighing Wimps with Kinks at Colliders: Invisible Particle Mass
  Measurements from Endpoints

abstract:
  We consider the application of endpoint techniques to the problem of mass
determination for new particles produced at a hadron collider, where these
particles decay to an invisible particle of unknown mass and one or more
visible particles of known mass. We also consider decays of these types for
pair-produced particles and in each case consider situations both with and
without initial state radiation. We prove that, in most (but not all) cases,
the endpoint of an appropriate transverse mass observable, considered as a
function of the unknown mass of the invisible particle, has a kink at the true
value of the invisible particle mass. The co-ordinates of the kink yield the
masses of the decaying particle and the invisible particle. We discuss the
prospects for implementing this method at the LHC.