title: The Third Image of the Large-Separation Lensed Quasar SDSS J1029+2623

abstract:
  We identify a third image in the unique quasar lens SDSS J1029+2623, the
second known quasar lens produced by a massive cluster of galaxies. The
spectrum of the third image shows similar emission and absorption features, but
has a redder continuum than the other two images which can be explained by
differential extinction or microlensing. We also identify several lensed arcs.
Our observations suggest a complicated structure of the lens cluster at z~0.6.
We argue that the three lensed images are produced by a naked cusp on the basis
of successful mass models, the distribution of cluster member galaxies, and the
shapes and locations of the lensed arcs. Lensing by a naked cusp is quite rare
among galaxy-scale lenses but is predicted to be common among large-separation
lensed quasars. Thus the discovery can be viewed as support for an important
theoretical prediction of the standard cold dark matter model.


title: On mobile sets in the binary hypercube

abstract:
  If two distance-3 codes have the same neighborhood, then each of them is
called a mobile set. In the (4k+3)-dimensional binary hypercube, there exists a
mobile set of cardinality 2*6^k that cannot be split into mobile sets of
smaller cardinalities or represented as a natural extension of a mobile set in
a hypercube of smaller dimension. Keywords: mobile set; 1-perfect code.


title:
Reconstruction of Cluster Masses using Particle Based Lensing I:
  Application to Weak Lensing

abstract:
  We present Particle-Based Lensing (PBL), a new technique for gravitational
lensing mass reconstructions of galaxy clusters. Traditionally, most methods
have employed either a finite inversion or gridding to turn observational
lensed galaxy ellipticities into an estimate of the surface mass density of a
galaxy cluster. We approach the problem from a different perspective, motivated
by the success of multi-scale analysis in smoothed particle hydrodynamics. In
PBL, we treat each of the lensed galaxies as a particle and then reconstruct
the potential by smoothing over a local kernel with variable smoothing scale.
In this way, we can tune a reconstruction to produce constant signal-noise
throughout, and maximally exploit regions of high information density.
  PBL is designed to include all lensing observables, including multiple image
positions and fluxes from strong lensing, as well as weak lensing signals
including shear and flexion. In this paper, however, we describe a shear-only
reconstruction, and apply the method to several test cases, including simulated
lensing clusters, as well as the well-studied ``Bullet Cluster'' (1E0657-56).
In the former cases, we show that PBL is better able to identify cusps and
substructures than are grid-based reconstructions, and in the latter case, we
show that PBL is able to identify substructure in the Bullet Cluster without
even exploiting strong lensing measurements. We also make our codes publicly
available.


title:
Normal Factorization in $SL(2,Z)$ and the Confluence of Singular Fibers
  in Elliptic Fibrations

abstract:
  In this article we obtain a result about the uniqueness of factorization in
terms of conjugates of the matrix $U=(\xymatrix{1 & 1 0 & 1})$, of some
matrices representing the conjugacy classes of those elements of $SL(2,Z)$
arising as the monodromy around a singular fiber in an elliptic fibration (i.e.
those matrices that appear in Kodaira's list).


title: New Perspectives and some Celebrated Quantum Inequalities

abstract:
  Some of the important inequalities associated with quantum entropy are
immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A
general argument is given in terms of the matrix perspective of an operator
convex function. A matrix analogue of Mar\'{e}chal's extended perspectives
provides additional inequalities, including a $p+q\leq 1$ result of Lieb.


title: Implications of CTEQ global analysis for collider observables

abstract:
  The latest CTEQ6.6 parton distributions, obtained by global analysis of hard
scattering data in the framework of general-mass perturbative QCD, are employed
to study theoretical predictions and their uncertainties for significant
processes at the Fermilab Tevatron and CERN Large Hadron Collider. The
previously observed increase in predicted cross sections for the
standard-candle W and Z boson production processes in the general-mass scheme
(compared to those in the zero-mass scheme) is further investigated and
quantified. A novel method to constrain PDF uncertainties in LHC observables,
by effectively exploiting PDF-induced correlations with benchmark standard
model cross sections, is presented. Using this method, we show that the
top-antitop pair cross section can potentially serve as a standard candle
observable for the LHC processes dominated by initial-state gluon scattering.
Among other benefits, precise measurements of $t\bar{t}$ cross sections would
reduce PDF uncertainties in predictions for single-top quark and Higgs boson
production in the standard model and minimal supersymmetric standard model.


title:
Short gamma-ray bursts from SGR giant flares and neutron star mergers:
  two populations are better than one

abstract:
  There is increasing evidence of a local population of short duration
Gamma-ray Bursts (sGRB), but it remains to be seen whether this is a separate
population to higher redshift bursts. Here we choose plausible Luminosity
Functions (LF) for both neutron star binary mergers and giant flares from Soft
Gamma Repeaters (SGR), and combined with theoretical and observed Galactic
intrinsic rates we examine whether a single progenitor model can reproduce both
the overall BATSE sGRB number counts and a local population, or whether a dual
progenitor population is required. Though there are large uncertainties in the
intrinsic rates, we find that at least a bimodal LF consisting of lower and
higher luminosity populations is required to reproduce both the overall BATSE
sGRB number counts and a local burst distribution. Furthermore, the best fit
parameters of the lower luminosity population agree well with the known
properties of SGR giant flares, and the predicted numbers are sufficient to
account for previous estimates of the local sGRB population.


title: Supergravity on R4 x S1/Z2 and singular Calabi-Yaus

abstract:
  We discuss the moduli space singularities that are generally present in
five-dimensional vector-coupled supergravity on a spactime of the form R4 x
S1/Z2, with vector fields surviving on the Z2 fixed planes. The framework of
supergravity is necessarily ambiguous when it comes to the non-singular
embedding theory, so we focus on those models coming from Calabi-Yau
three-folds with wrapped membranes.


title:
Structural properties of disk galaxies: The intrinsic equatorial
  ellipticity of bulges

abstract:
  The structural parameters of a magnitude-limited sample of 148 unbarred S0-Sb
galaxies were derived to study the correlations between bulge and disk
parameters as well as the probability distribution function (PDF) of the
intrinsic equatorial ellipticity of bulges. A new algorithm (GASP2D) was used
to perform the bidimensional bulge-disk decomposition of the J-band galaxy
images extracted from the archive of the 2MASS survey. The PDF of intrinsic
ellipticities was derived from the distribution of the observed ellipticities
of the bulges and misalignments between the the bulges and disks. About 80% of
the observed bulges are not oblate but triaxial ellipsoids. Their mean axial
ratio in the equatorial plane is <B/A>=0.85. There is not significant
dependence of their PDF on morphology, light concentration or luminosity. This
has to be explained by the different scenarios of bulge formation.


title: Properties of bars in the local universe

abstract:
  We studied the fraction and properties of bars in a sample of about 3000
galaxies extracted from SDSS-DR5. This represents a volume limited sample with
galaxies located between redshift 0.01<z<0.04, absolute magnitude Mr>-20, and
inclination i < 60. Interacting galaxies were excluded from the sample. The
fraction of barred galaxies in our sample is 45%. We found that 32% of S0s, 55%
of early-type spirals, and 52% of late-type spirals are barred galaxies. The
bars in S0s galaxies are weaker than those in later-type galaxies. The bar
length and galaxy size are correlated, being larger bars located in larger
galaxies. Neither the bar strength nor bar length correlate with the local
galaxy density. On the contrary, the bar properties correlate with the
properties of their host galaxies. Galaxies with higher central light
concentration host less and weaker bars.


title: Instability of nonlinear dispersive solitary waves

abstract:
  We consider linear instability of solitary waves of several classes of
dispersive long wave models. They include generalizations of KDV, BBM,
regularized Boussinesq equations, with general dispersive operators and
nonlinear terms. We obtain criteria for the existence of exponentially growing
solutions to the linearized problem. The novelty is that we dealt with models
with nonlocal dispersive terms, for which the spectra problem is out of reach
by the Evans function technique. For the proof, we reduce the linearized
problem to study a family of nonlocal operators, which are closely related to
properties of solitary waves. A continuation argument with a moving kernel
formula are used to find the instability criteria. Recently, these techniques
have also been extended to study instability of periodic waves and to the full
water wave problem.


title: Cosmic Neutrinos

abstract:
  I recall the place of neutrinos in the electroweak theory and summarize what
we know about neutrino mass and flavor change. I next review the essential
characteristics expected for relic neutrinos and survey what we can say about
the neutrino contribution to the dark matter of the Universe. Then I discuss
the standard-model interactions of ultrahigh-energy neutrinos, paying attention
to the consequences of neutrino oscillations, and illustrate a few topics of
interest to neutrino observatories. I conclude with short comments on the
remote possibility of detecting relic neutrinos through annihilations of
ultrahigh-energy neutrinos at the $Z$ resonance.


title: Absorption of Ultrashort Laser Pulses in Strongly Overdense Targets

abstract:
  We report on the first absorption experiments of sub-10 fs high-contrast
Ti:Sa laser pulses incident on solid targets. The very good contrast of the
laser pulse assures the formation of a very small pre-plasma and the pulse
interacts with the matter close to solid density. Experimental results indicate
that p-polarized laser pulses are absorbed up to 80 percent at 80 degrees
incidence angle. The simulation results of PSC PIC code clearly confirm the
observations and show that the collisionless absorption works efficiently in
steep density profiles.


title: The dimensions of LU(3,q) codes

abstract:
  A family of LDPC codes, called LU(3,q) codes, has been constructed from
q-regular bipartite graphs. Recently, P. Sin and Q. Xiang determined the
dimensions of these codes in the case that q is a power of an odd prime. They
also obtained a lower bound for the dimension of an LU(3,q) code when q is a
power of 2. In this paper we prove that this lower bound is the exact dimension
of the LU(3,q) code. The proof involves the geometry of symplectic generalized
quadrangles, the representation theory of Sp(4,q), and the ring of polynomials.


title:
Using HII region spectra to probe the ionizing radiation from massive
  stars

abstract:
  We present some results of an on-going project aimed at studying a sample of
Galactic HII regions ionized by a single massive star to test the predictions
of modern generation stellar atmosphere codes in the H Lyman continuum. The
observations collected for this study comprise the optical spectra of the
corresponding ionizing stars, along with imaging and long-slit spatially
resolved nebular observations. The analysis of the stellar spectra allows to
obtain the stellar parameters of the ionizing star, while the nebular
observations provide constraints on the nebular abundances and gas
distribution. All this information is then used to construct tailored
photoionization models of the HII regions. The reliability of the stellar
ionizing fluxes is hence tested by comparing the photoionization model results
with the observations in terms of the spatial variation across the nebula of an
appropriate set of nebular line ratios.


title: Improved Deterministic Length Reduction

abstract:
  This paper presents a new technique for deterministic length reduction. This
technique improves the running time of the algorithm presented in \cite{LR07}
for performing fast convolution in sparse data. While the regular fast
convolution of vectors $V_1,V_2$ whose sizes are $N_1,N_2$ respectively, takes
$O(N_1 \log N_2)$ using FFT, using the new technique for length reduction, the
algorithm proposed in \cite{LR07} performs the convolution in $O(n_1 \log^3
n_1)$, where $n_1$ is the number of non-zero values in $V_1$. The algorithm
assumes that $V_1$ is given in advance, and $V_2$ is given in running time. The
novel technique presented in this paper improves the convolution time to $O(n_1
\log^2 n_1)$ {\sl deterministically}, which equals the best running time given
achieved by a {\sl randomized} algorithm.
  The preprocessing time of the new technique remains the same as the
preprocessing time of \cite{LR07}, which is $O(n_1^2)$. This assumes and deals
the case where $N_1$ is polynomial in $n_1$. In the case where $N_1$ is
exponential in $n_1$, a reduction to a polynomial case can be used. In this
paper we also improve the preprocessing time of this reduction from $O(n_1^4)$
to $O(n_1^3{\rm polylog}(n_1))$.


title:
Glassy behavior in the ferromagnetic and the non-magnetic insulating
  states of the rare earth manganates, Ln0.7Ba0.3MnO3 (Ln = Nd or Gd)

abstract:
  While La0.7Ba0.3MnO3 is a ferromagnetic metal (TC = 340 K) with longrange
ordering, Nd0.7Ba0.3MnO3 shows a transition around 150 K with a small increase
in magnetization, but remains an insulator at all temperatures. Gd0.7Ba0.3MnO3
is non-magnetic and insulating at all temperatures. Low field dc magnetization
and ac susceptibility measurements reveal the presence of a transition at
around 150 K in Nd0.7Ba0.3MnO3, and a complex behavior with different
ordering/freezing transitions at 62, 46 and 36 K in the case of Gd0.7Ba0.3MnO3,
the last one being more prominent. The nature of the field dependence of the
magnetization, combined with the slow magnetic relaxation, ageing and memory
effects, suggests that Nd0.7Ba0.3MnO3 is a cluster glass below 150 K, a
situation similar to that found for La_{1-x}SrxCoO3. Gd0.7Ba0.3MnO3, however,
shows non-equilibrium dynamics characteristic of spin glasses, below 36 K. The
difference in nature of the glassy behavior between Gd0.7Ba0.3MnO3 and
Nd0.7Ba0.3MnO3 probably arises because of the larger disorder arising from the
mismatch between the sizes of the A-site cations in the former. Our results on
Nd0.7Ba0.3MnO3 and Gd0.7Ba0.3MnO3 suggest that the magnetic insulating states
often reported for rare earth manganates of the type Ln1-xAxMnO3 (Ln = rare
earth, A = alkaline earth) are likely to be associated with glassy magnetic
behavior.


title: High and low states of the system AM Herculis

abstract:
  Context: We investigate the distribution of optically high and low states of
the system AM Herculis (AM Her).
  Aims: We determine the state duty cycles, and their relationships with the
mass transfer process and binary orbital evolution of the system.
  Methods: We make use of the photographic plate archive of the Harvard College
Observatory between 1890 and 1953 and visual observations collected by the
American Association of Variable Star Observers between 1978 and 2005. We
determine the statistical probability of the two states, their distribution and
recurrence behaviors.
  Results: We find that the fractional high state duty cycle of the system AM
Her is 63%. The data show no preference of timescales on which high or low
states occur. However, there appears to be a pattern of long and short duty
cycle alternation, suggesting that the state transitions retain memories. We
assess models for the high/low states for polars (AM Her type systems). We
propose that the white-dwarf magnetic field plays a key role in regulating the
mass transfer rate and hence the high/low brightness states, due to variations
in the magnetic-field configuration in the system.


title: Solution of the Percus-Yevick equation for hard discs

abstract:
  We solve the Percus-Yevick equation in two dimensions by reducing it to a set
of simple integral equations. We numerically obtain both the pair correlation
function and the equation of state for a hard disc fluid and find good
agreement with available Monte-Carlo calculations. The present method of
resolution may be generalized to any even dimension.


title: Time series analysis via mechanistic models

abstract:
  The purpose of time series analysis via mechanistic models is to reconcile
the known or hypothesized structure of a dynamical system with observations
collected over time. We develop a framework for constructing nonlinear
mechanistic models and carrying out inference. Our framework permits the
consideration of implicit dynamic models, meaning statistical models for
stochastic dynamical systems which are specified by a simulation algorithm to
generate sample paths. Inference procedures that operate on implicit models are
said to have the plug-and-play property. Our work builds on recently developed
plug-and-play inference methodology for partially observed Markov models. We
introduce a class of implicitly specified Markov chains with stochastic
transition rates, and we demonstrate its applicability to open problems in
statistical inference for biological systems. As one example, these models are
shown to give a fresh perspective on measles transmission dynamics. As a second
example, we present a mechanistic analysis of cholera incidence data, involving
interaction between two competing strains of the pathogen Vibrio cholerae.


title:
Hidden Thresholds: A Technique for Reconstructing New Physics Masses at
  Hadron Colliders

abstract:
  We present an improved method of reconstructing New Physics (NP) masses from
invariant mass endpoints. While the traditional method focuses on a single NP
decay, our method considers the decays of two or more NP particles ($ABC...$)
in a grander decay chain: $ anything \to ABC... \to ... \to jets + leptons$.
Though the center-of-mass energy $E_{CM}$ of `anything' varies unpredictably at
a hadron collider, a sample of many events nonetheless expresses features of
threshold production $E_{CM} = m_A + m_B + ...$: invariant masses constructed
from the final jet and lepton momenta are correlated in a way that makes their
threshold endpoints visually obvious in a scatterplot. We illustrate this
technique for the production of two neutralinos in the MSSM: $anything \to
\widetilde{\chi}_{i}^0 \widetilde{\chi}_{j}^0$ ($i,j=2,3,4$) which subsequently
decay via on- or off-shell sleptons to four leptons. Assuming the relevant SUSY
spectrum is below $1 TeV$ and squarks/gluinos eventually decay to neutralinos,
our MC study shows that one low-luminosity year at the LHC ($10-30 fb^{-1}$)
can quantitatively determine on- versus off-shell decays and find the relevant
neutralino and slepton masses to less than 10 percent.


title: A moment problem for pseudo-positive definite functionals

abstract:
  A moment problem is presented for a class of signed measures which are termed
pseudo-positive. Our main result says that for every pseudo-positive definite
functional (subject to some reasonable restrictions) there exists a
representing pseudo-positive measure. The second main result is a
characterization of determinacy in the class of equivalent pseudo-positive
representation measures. Finally the corresponding truncated moment problem is
discussed.


title:
Solving the Maximum Agreement SubTree and the Maximum Compatible Tree
  problems on many bounded degree trees

abstract:
  Given a set of leaf-labeled trees with identical leaf sets, the well-known
"Maximum Agreement SubTree" problem (MAST) consists of finding a subtree
homeomorphically included in all input trees and with the largest number of
leaves. Its variant called "Maximum Compatible Tree" (MCT) is less stringent,
as it allows the input trees to be refined. Both problems are of particular
interest in computational biology, where trees encountered have often small
degrees.
  In this paper, we study the parameterized complexity of MAST and MCT with
respect to the maximum degree, denoted by D, of the input trees. It is known
that MAST is polynomial for bounded D. As a counterpart, we show that the
problem is W[1]-hard with respect to parameter D. Moreover, relying on recent
advances in parameterized complexity we obtain a tight lower bound: while MAST
can be solved in O(N^{O(D)}) time where N denotes the input length, we show
that an O(N^{o(D)}) bound is not achievable, unless SNP is contained in SE. We
also show that MCT is W[1]-hard with respect to D, and that MCT cannot be
solved in O(N^{o(2^{D/2})}) time, SNP is contained in SE.


title: Cosmological black hole spin evolution by mergers and accretion

abstract:
  Using recent results from numerical relativity simulations of black hole
mergers, we revisit previous studies of cosmological black hole spin evolution.
We show that mergers are very unlikely to yield large spins, unless alignment
of the spins of the merging holes with the orbital angular momentum is very
efficient. We analyze the spin evolution in three specific scenarios: (1) spin
evolves only through mergers, (2) spin evolves through mergers and prolonged
accretion episodes, (3) spin evolves through mergers and short-lived (chaotic)
accretion episodes. We study how different diagnostics can distinguish between
these evolutionary scenarios, assessing the discriminating power of
gravitational-wave measurements and X-ray spectroscopy. Gravitational radiation
can produce three different types of spin measurements, yielding respectively
the spins of the two black holes in a binary inspiral prior to merger, the spin
of the merger remnant (as encoded in the ringdown waves), and the spin of
``single'' black holes during the extreme mass-ratio inspiral (EMRI) of compact
objects. The latter spin population is also accessible to iron-line
measurements. We compute and compare the spin distributions relevant for these
different observations. If iron-line measurements and gravitational-wave
observations of EMRIs only yield dimensionless spins j=J/M^2>0.9, then
prolonged accretion should be responsible for spin-up, and chaotic accretion
scenarios would be very unlikely. If only a fraction of the whole population of
low-redshift black holes spins rapidly, spin-alignment during binary mergers
(rather than prolonged accretion) could be responsible for spin-ups.


title:
Understanding the Standard Model, as a bridge to the discovery of new
  phenomena at the LHC

abstract:
  I discuss the basic elements of the process that will lead to the discovery
of possible new phenomena at the LHC. We review the status of the tools
available to model the Standard Model backgrounds, and the role that such tools
can play in the discovery phase, and in the exploration of the features and
parameters of such new phenomena.


title:
Large spin corrections in ${\cal N}=4$ SYM sl(2): still a linear
  integral equation

abstract:
  Anomalous dimension and higher conserved charges in the $sl(2)$ sector of
${\cal N}=4$ SYM for generic spin $s$ and twist $L$ are described by using a
novel kind of non-linear integral equation (NLIE). The latter can be derived
under typical situations of the SYM sectors, i.e. when the scattering need not
depend on the difference of the rapidities and these, in their turn, may also
lie on a bounded range. Here the non-linear (finite range) integral terms,
appearing in the NLIE and in the dimension formula, go to zero as $s\to
\infty$. Therefore they can be neglected at least up to the $O(s^0)$ order,
thus implying a linear integral equation (LIE) and a linear dimension/charge
formula respectively, likewise the 'thermodynamic' (i.e. infinite spin) case.
Importantly, these non-linear terms go faster than any inverse logarithm power
$(\ln s)^{-n}$, $n>0$, thus extending the linearity validity.


title: Accelerating universe with time variation of $G$ and $\Lambda$

abstract:
  We study a gravitational model in which scale transformations play the key
role in obtaining dynamical $G$ and $\Lambda$. We take a scale non-invariant
gravitational action with a cosmological constant and a gravitational coupling
constant. Then, by a scale transformation, through a dilaton field, we obtain a
new action containing cosmological and gravitational coupling terms which are
dynamically dependent on the dilaton field with Higgs type potential. The
vacuum expectation value of this dilaton field, through spontaneous symmetry
breaking on the basis of anthropic principle, determines the time variations of
$G$ and $\Lambda$. The relevance of these time variations to the current
acceleration of the universe, coincidence problem, Mach's cosmological
coincidence and those problems of standard cosmology addressed by inflationary
models, are discussed. The current acceleration of the universe is shown to be
a result of phase transition from radiation toward matter dominated eras. No
real coincidence problem between matter and vacuum energy densities exists in
this model and this apparent coincidence together with Mach's cosmological
coincidence are shown to be simple consequences of a new kind of scale factor
dependence of the energy momentum density as $\rho \sim a^{-4}$. This model
also provides the possibility for a super fast expansion of the scale factor at
very early universe by introducing exotic type matter like cosmic strings.


title:
Structural Fluctuations of Microtubule Binding Site of KIF1A in
  Different Nucleotide States

abstract:
  How molecular motors like Kinesin regulates the affinity to the rail protein
in the process of ATP hydrolysis remains to be uncovered. To understand the
regulation mechanism, we investigate the structural fluctuation of KIF1A in
different nucleotide states that are realized in the ATP hydrolysis process by
molecular dynamics simulations of Go-like model. We found that "alpha4 helix",
which is a part of the microtubule (MT) binding site, changes its fluctuation
systematically according to the nucleotide states. In particular, the frequency
of large fluctuations of alpha4 strongly correlates with the affinity of KIF1A
for microtubule. We also show how the strength of the thermal fluctuation and
the interaction with the nucleotide affect the dynamics of microtubule binding
site. These results suggest that KIF1A regulates the affinity to MT by changing
the flexibility of alpha4 helix according to the nucleotide states.


title: Mission impossible: Computing the network coding capacity region

abstract:
  One of the main theoretical motivations for the emerging area of network
coding is the achievability of the max-flow/min-cut rate for single source
multicast. This can exceed the rate achievable with routing alone, and is
achievable with linear network codes. The multi-source problem is more
complicated. Computation of its capacity region is equivalent to determination
of the set of all entropy functions $\Gamma^*$, which is non-polyhedral. The
aim of this paper is to demonstrate that this difficulty can arise even in
single source problems. In particular, for single source networks with
hierarchical sink requirements, and for single source networks with secrecy
constraints. In both cases, we exhibit networks whose capacity regions involve
$\Gamma^*$. As in the multi-source case, linear codes are insufficient.


title: Towards the Carpenter's Theorem

abstract:
  Let M be a II_1 factor, A a masa in M and E the unique conditional
expectation on A. Under some technical assumptions on the inclusion of A in M,
which hold true for any semiregular masa of a separable factor, we show that
for every discrete a in the positive part of the unit ball of A it is possible
to find a projection p in M such that E(p)=a$. We also show an example of a
diffuse operator x in A such that there exists a projection q in M with E(q)=x.
  These results show a new family of instances of a conjecture by Kadison, the
so-called "Carpenter's Theorem".


title: Small x Resummation with Quarks: Deep-Inelastic Scattering

abstract:
  We extend our previous results on small-x resummation in the pure Yang--Mills
theory to full QCD with nf quark flavours, with a resummed two-by-two matrix of
resummed quark and gluon splitting functions. We also construct the
corresponding deep-inelastic coefficient functions, and show how these can be
combined with parton densities to give fully resummed deep-inelastic structure
functions F_2 and F_L at the next-to-leading logarithmic level. We discuss how
this resummation can be performed in different factorization schemes, including
the commonly used MSbar scheme. We study the importance of the resummation
effects by comparison with fixed-order perturbative results, and we discuss the
corresponding renormalization and factorization scale variation uncertainties.
We find that for x below 0.01 the resummation effects are comparable in size to
the fixed order NNLO corrections, but differ in shape. We finally discuss the
phenomenological impact of the small-x resummation, specifically in the
extraction of parton distribution from present day experiments and their
extrapolation to the kinematics relevant for future colliders such as the LHC


title: Intersections and joins of free groups

abstract:
  Let H and K be subgroups of a free group of ranks h and k \geq h. We prove
the following strong form of Burns' inequality: rank(H \cap K) - 1 \leq
2(h-1)(k-1) - (h-1)(rank(H \vee K) -1). A corollary of this, also obtained by
L. Louder and D. B. McReynolds, has been used by M. Culler and P. Shalen to
obtain information regarding the volumes of hyperbolic 3-manifolds. We also
prove the following particular case of the Hanna Neumann Conjecture, which has
also been obtained by Louder. If the join of H and K has rank at least (h + k +
1)/2, then the intersection of H and K has rank no more than (h-1)(k-1) + 1.


title: Direct observation of the ice rule in artificial kagome spin ice

abstract:
  Recently, significant interest has emerged in fabricated systems that mimic
the behavior of geometrically-frustrated materials. We present the full
realization of such an artificial spin ice system on a two-dimensional kagome
lattice and demonstrate rigid adherence to the local ice rule by directly
counting individual pseudo-spins. The resulting spin configurations show not
only local ice rules and long-range disorder, but also correlations consistent
with spin ice Monte Carlo calculations. Our results suggest that dipolar
corrections are significant in this system, as in pyrochlore spin ice, and they
open a door to further studies of frustration in general.


title:
Degenerate Stochastic Differential Equations for Catalytic Branching
  Networks

abstract:
  Uniqueness of the martingale problem corresponding to a degenerate SDE which
models catalytic branching networks is proven. This work is an extension of a
paper by Dawson and Perkins to arbitrary catalytic branching networks. As part
of the proof estimates on the corresponding semigroup are found in terms of
weighted Holder norms for arbitrary networks, which are proven to be equivalent
to the semigroup norm for this generalized setting.
  -----
  On prouve l'unicite d'un probleme de martingale correspondant a une EDS
degeneree, qui apparait comme un modele de reseaux avec branchement
catalytique. Ce travail est une extension des resultats de Dawson et Perkins au
cas de reseaux generaux. On obtient en particulier des estimees pour le
semi-groupe des reseaux generaux, sous forme de normes de Holder ponderees; et
on etablit l'equivalence de ces normes avec des normes de semi-groupe dans ce
contexte general.


title:
A classical fermionic system that follows the fundamental rules of
  Quantum Mechanics

abstract:
  It is feasible to obtain any basic rule of the already known Quantum
Mechanics applying the Hamilton-Jacobi formalism to an interacting system of 2
fermionic degrees of freedom. The interaction between those fermionic variables
unveils also a primitive spin and zitterbewegung.


title:
H2O and OH gas in the terrestrial planet-forming zones of protoplanetary
  disks

abstract:
  We present detections of numerous 10-20 micron H2O emission lines from two
protoplanetary disks around the T Tauri stars AS 205A and DR Tau, obtained
using the InfraRed Spectrograph on the Spitzer Space Telescope. Follow-up 3-5
micron Keck-NIRSPEC data confirm the presence of abundant water and spectrally
resolve the lines. We also detect the P4.5 (2.934 micron) and P9.5 (3.179
micron) doublets of OH and 12CO/13CO v=1-0 emission in both sources. Line
shapes and LTE models suggest that the emission from all three molecules
originates between ~0.5 and 5 AU, and so will provide a new window for
understanding the chemical environment during terrestrial planet formation. LTE
models also imply significant columns of H2O and OH in the inner disk
atmospheres, suggesting physical transport of volatile ices either vertically
or radially; while the significant radial extent of the emission stresses the
importance of a more complete understanding of non-thermal excitation
processes.


title: What is Quantum in Quantum Pumping: The Role of Phase and Asymmetries

abstract:
  We show that quantum pumping does not always require a quantum description or
a quantum phase. Quantum pumping is shown to encompass different types of
processes, some of which intrinsically rely on phase while others do not. We
also show that many pumping processes have a hidden antisymmetric component
that contributes significantly to the instantaneous current at the terminals
without causing net charge transfer in a period. We have also computed the
exact pumped current for some cases over a full range of time variation from
adiabatic to non-adiabatic.


title: An introduction to the volume conjecture and its generalizations

abstract:
  In this paper we give an introduction to the volume conjecture and its
generalizations. Especially we discuss relations of the asymptotic behaviors of
the colored Jones polynomials of a knot with different parameters to
representations of the fundamental group of the knot complement at the special
linear group over complex numbers by taking the figure-eight knot and torus
knots as examples.


title:
Non-local effects in the plasmons of strongly interacting nanoparticles,
  dimers, and waveguides

abstract:
  Non-local effects in the optical response of noble metals are shown to
produce significant blueshift and near-field quenching of plasmons in
nanoparticle dimers, nanoshells, and thin metal waveguides. Compared with a
local description relying on the use of frequency-dependent dielectric
functions, we predict resonance shifts as large as 10% and field-intensity
reduction of an order of magnitude at inter-particle distances or metal
thicknesses below 2 \AA. Our results are based upon the specular-reflection
model combined with a suitable non-local extension of measured local dielectric
functions. We present a roadmap to design plasmon resonances in nanometer
metallic elements with application to optical antennas and improved
photovoltaic, light-emitting, and sensing devices.


title:
Classical Trajectory Diagnosis of Finger-Like Pattern in the Correlated
  Electron Momentum Distribution for Helium Double Ionization

abstract:
  With a semiclassical quasistatic model we identify the distinct roles of
nuclear Coulomb attraction, final state electron repulsion and electron-field
interaction in forming the finger-like (or V-shaped) pattern in the correlated
electron momentum distribution for Helium double ionization [Phys. Rev. Lett.
\textbf{99}, 263002; \emph{ibid}, 263003 (2007)]. The underlying microscopic
trajectory configurations responsible for asymmetric electron energy sharing
after electron-electron collision have been uncovered and corresponding
sub-cycle dynamics are analyzed. The correlation pattern is found to be
sensitive to the transverse momentum of correlated electrons.


title:
Statistical Models for Solar Flare Interval Distribution in Individual
  Active Regions

abstract:
  This article discusses statistical models for solar flare interval
distribution in individual active regions. We analyzed solar flare data in 55
active regions that are listed in the GOES soft X-ray flare catalog. We discuss
some problems with a conventional procedure to derive probability density
functions from any data set and propose a new procedure, which uses the maximum
likelihood method and Akaike Information Criterion (AIC) to objectively compare
some competing probability density functions. We found that lognormal and
inverse Gaussian models are more likely models than the exponential model for
solar flare interval distribution in individual active regions. The results
suggest that solar flares do not occur randomly in time; rather, solar flare
intervals appear to be regulated by solar flare mechanisms. We briefly mention
a probabilistic solar flare forecasting method as an application of a solar
flare interval distribution analysis.


title:
Quasinormal modes and second order thermodynamic phase transition for
  Reissner-Nordstr\"om black hole

abstract:
  The relation between the quasinormal modes (QNMs) and the second order
thermodynamic phase transition (SOTPT) for the Reissner-Nordstr\"om (RN) black
hole is studied. It is shown that the quasinormal frequencies of the RN black
hole start to get a spiral-like shape in the complex $\omega$ plane and both
the real and imaginary parts become the oscillatory functions of the charge if
the real part of the quasinormal frequencies arrives at its maximum at the
second order phase transition point of Davies for given overtone number and
angular quantum number. That is to say, we can find out the SOTPT point from
the QNMs of the RN black hole. The fact shows that the quasinormal frequencies
carry the thermodynamical information of the RN black hole.


title:
Meta-Stable Brane Configurations by Higher Order Polynomial
  Superpotential

abstract:
  We construct the type IIA nonsupersymmetric meta-stable brane configuration
consisting of (2k+1) NS5-branes and D4-branes where the electric gauge theory
superpotential has an order (2k+2) polynomial for the bifundamentals. We find a
rich pattern of nonsupersymmetric meta-stable states as well as the
supersymmetric stable ones. By adding the orientifold 4-plane to this brane
configuration, we also describe the intersecting brane configuration of type
IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of
corresponding gauge theory.


title:
Existence of global invariant jet differentials on projective
  hypersurfaces of high degree

abstract:
  Let $X\subset\mathbb P^{n+1}$ be a smooth complex projective hypersurface. In
this paper we show that, if the degree of $X$ is large enough, then there exist
global sections of the bundle of invariant jet differentials of order $n$ on
$X$, vanishing on an ample divisor. We also prove a logarithmic version,
effective in low dimension, for the log-pair $(\mathbb P^n,D)$, where $D$ is a
smooth irreducible divisor of high degree. Moreover, these result are sharp,
\emph{i.e.} one cannot have such jet differentials of order less than $n$.


title: X-ray emission from O stars

abstract:
  Young O stars are strong, hard, and variable X-ray sources, properties which
strongly affect their circumstellar and galactic environments. After ~1 Myr,
these stars settle down to become steady sources of soft X-rays. I use
high-resolution X-ray spectroscopy and MHD modeling to show that young O stars
like theta-1 Ori C are well explained by the magnetically channeled wind shock
scenario. After their magnetic fields dissipate, older O stars produce X-rays
via shock heating in their unstable stellar winds. Here too I use X-ray
spectroscopy and numerical modeling to confirm this scenario. In addition to
elucidating the nature and cause of the O star X-ray emission, modeling of the
high-resolution X-ray spectra of O supergiants provides strong evidence that
mass-loss rates of these O stars have been overestimated.


title: The Scaling laws of Spatial Structure in Social Networks

abstract:
  Social network structure is very important for understanding human
information diffusing, cooperating and competing patterns. It can bring us with
some deep insights about how people affect each other. As a part of complex
networks, social networks have been studied extensively. Many important
universal properties with which we are quite familiar have been recovered, such
as scale free degree distribution, small world, community structure,
self-similarity and navigability. According to some empirical investigations,
we conclude that our social network also possesses another important universal
property. The spatial structure of social network is scale invariable. The
distribution of geographic distance between friendship is about $Pr(d)\propto
d^{-1}$ which is harmonious with navigability. More importantly, from the
perspective of searching information, this kind of property can benefit
individuals most.


title:
Entropy Production in a Cell and Reversal of Entropy Flow as an
  Anticancer Therapy

abstract:
  The entropy production rate of cancer cell is always higher than healthy cell
under the case of no external field applied. Different entropy production
between two kinds of cells determines the direction of entropy flow among
cells. The entropy flow is the carrier of information flow. The entropy flow
from cancer to healthy cell takes along the harmful information of cancerous
cell, propagating its toxic action to healthy tissues. We demonstrate that a
low-frequency and low-intensity electromagnetic field or ultrasound irradiation
may increase the entropy production rate of a cell in normal tissue than that
in cancer, consequently reverse the direction of entropy current between two
kinds of cells. The modification of PH value of cells may also cause the
reversal of the direction of entropy flow between healthy and cancerous cells.
So, the biological tissue under the irradiation of electromagnetic field or
ultrasound or under the appropriate change of cell acidity can avoid the
propagation of harmful information from cancer cells. We suggest that this
entropy mechanism possibly provides a basis for a novel approach to anticancer
therapy.


title: The lepton-flavour violating decay \tau \to \mu \mu \antimu at the LHC

abstract:
  Lepton-flavour violating tau-decays are predicted in many extensions of the
Standard Model at a rate observable at future collider experiments. In this
article we focus on the decay tau to mu mu antimu, which is a promising channel
to observe lepton-flavour violation at the Large Hadron Collider LHC. We
present analytic expressions for the differential decay width derived from a
model-independent effective Lagrangian with general four-fermion operators, and
estimate the experimental acceptance for detecting the decay tau to mu mu
antimu at the LHC. Specific emphasis is given to decay angular distributions
and how they can be used to discriminate new physics models. We provide
specific predictions for various extensions of the Standard Model, including
supersymmetric, little Higgs and technicolour models.


title:
Dilepton mass spectra in p+p collisions at sqrt(s)= 200 GeV and the
  contribution from open charm

abstract:
  The PHENIX experiement has measured the electron-positron pair mass spectrum
from 0 to 8 GeV/c^2 in p+p collisions at sqrt(s)=200 GeV. The contributions
from light meson decays to e^+e^- pairs have been determined based on
measurements of hadron production cross sections by PHENIX. They account for
nearly all e^+e^- pairs in the mass region below 1 GeV/c^2. The e^+e^- pair
yield remaining after subtracting these contributions is dominated by
semileptonic decays of charmed hadrons correlated through flavor conservation.
Using the spectral shape predicted by PYTHIA, we estimate the charm production
cross section to be 544 +/- 39(stat) +/- 142(syst) +/- 200(model) \mu b, which
is consistent with QCD calculations and measurements of single leptons by
PHENIX.


title:
Isospin Properties of ($K^-$, $N$) Reactions for the Formation of
  Deeply-bound Antikaonic Nuclei

abstract:
  The formation of deeply-bound antikaonic $K^-/\bar{K}^0$ nuclear states by
nuclear ($K^-$, $N$) reactions is investigated theoretically within a
distorted-wave impulse approximation (DWIA), considering the isospin properties
of the Fermi-averaged $K^-+ N \to N + \bar{K}$ elementary amplitudes. We
calculate the formation cross sections of the deeply-bound $\bar{K}$ states by
the ($K^-$, $N$) reactions on the nuclear targets, $^{12}$C and $^{28}$Si, at
incident $K^-$ lab momentum $p_{K^-}$ = 1.0 GeV/c and $\theta_{\rm lab} =
0^{\circ}$, introducing a complex effective nucleon number $N_{\rm eff}$ for
unstable bound states in the DWIA. The results show that the deeply-bound
$\bar{K}$ states can be populated dominantly by the ($K^-$, $n$) reaction via
the total isoscalar $\Delta T=0$ transition owing to the isospin nature of the
$K^-+ N \to N + \bar{K}$ amplitudes, and that the cross sections described by
${\rm Re}N_{\rm eff}$ and ${\rm Arg}N_{\rm eff}$ enable to deduce the structure
of the $\bar{K}$ nuclear states; the calculated inclusive nucleon spectra for a
deep $\bar{K}$-nucleus potential do not show distinct peak structure in the
bound region. The few-body $\bar{K}\otimes [NN]$ and $\bar{K}\otimes [NNN]$
states formed in ($K^-$, $N$) reactions on $s$-shell nuclear targets, $^3$He,
$^3$H and $^4$He, are also discussed.


title: Matter Field, Dark Matter and Dark Energy

abstract:
  A model concerning particle theory and cosmology is proposed. Matter field,
dark matter and dark energy are created by an energy flow from space to
primordial matter fields at the phase transition in the early universe.


title: A deep survey of the low-surface-brightness radio sky

abstract:
  We have made a radio survey--the Australia Telescope Low Brightness Survey
(ATLBS)--of 8.4 square degrees sky area, using the Australia Telescope Compact
Array in the 20-cm band, in an observing mode designed to provide wide-field
images with exceptional sensitivity in surface brightness, and thereby explore
a new parameter space in radio source populations. The goals of this survey are
to quantify the distribution in angular sizes, particularly at weak surface
brightness levels: this has implications for the confusion in deep surveys with
the SKA. The survey is expected to lead to a census of the radio emission
associated with low-power radio galaxies at redshifts 1-3, without any missing
extended emission, and hence a study of the cosmic evolution of low-power radio
galaxies to higher redshift and a comprehensive study of the AGN feedback
during the intense black hole growth phase during this redshift range.


title: Classifying Brumer's quintic polynomials by weak Mordell-Weil groups

abstract:
  We develop a general classification theory for Brumer's dihedral quintic
polynomials by means of Kummer theory arising from certain elliptic curves. We
also give a similar theory for cubic polynomials.


title:
Velocity Distribution and the Effect of Wall Roughness in Granular
  Poiseuille Flow

abstract:
  From event-driven simulations of a gravity-driven channel flow of inelastic
hard-disks, we show that the velocity distribution function remains close to a
Gaussian for a wide range densities (even when the Knudsen number is of order
one) if the walls are smooth and the particle collisions are nearly elastic.
For dense flows, a transition from a Gaussian to a power-law distribution for
the high velocity tails occurs with increasing dissipation in the center of the
channel, irrespective of wall-roughness. For a rough wall, the near-wall
distribution functions are distinctly different from those in the bulk even in
the quasielastic limit.


title:
Orientational correlation and velocity distributions in uniform shear
  flow of a dilute granular gas

abstract:
  Using particle simulations of the uniform shear flow of a rough dilute
granular gas, we show that the translational and rotational velocities are
strongly correlated in direction, but there is no orientational
correlation-induced singularity at perfectly smooth ($\beta=-1$) and rough
($\beta=1$) limits for elastic collisions ($e=1$); both the translational and
rotational velocity distribution functions remain close to a Gaussian for these
two limiting cases. Away from these two limits, the orientational as well as
spatial velocity correlations are responsible for the emergence of non-Gaussian
high velocity tails. The tails of both distribution functions follow stretched
exponentials, with the exponents depending on normal ($e$) and tangential
($\beta$) restitution coefficients.


title: Kerr-Newman-de Sitter Solution on DGP Brane

abstract:
  We find an exact solution of Kerr-Newman-de Sitter type on the braneworld(4D)
of the DGP model. When a constant 4D Ricci scalar is assumed, only zero(flat)
and a positive(de-Sitter) values satisfy the Hamiltonian constraint equation
coming from the extra dimension. With a Z_2-symmetry across the brane and a
stationary and axisymmetric metric ansatz on the brane, we solve the constraint
equation exactly in the Kerr-Schild form with de-Sitter background. In the
de-Sitter background this Kerr-Schild solution is well behaved under
Boyer-Lindquist transformation: the constraint equation is preserved under the
transformation and so is the solution. In the non-rotating limit we show that
this Kerr-Newman-de Sitter solution has the characteristic of accelerated
expansion of the braneworld universe.


title:
Weighted Strichartz Estimates with Angular Regularity and their
  Applications

abstract:
  In this paper, we establish an optimal dual version of trace estimate
involving angular regularity. Based on this estimate, we get the generalized
Morawetz estimates and weighted Strichartz estimates for the solutions to a
large class of evolution equations, including the wave and Schr\"{o}dinger
equation. As applications, we prove the Strauss' conjecture with a kind of mild
rough data for $2\le n\le 4$, and a result of global well-posedness with small
data for some nonlinear Schr\"{o}dinger equation with $L^2$-subcritical
nonlinearity.


title:
Effects of Prandtl number and a new instability mode in a plane thermal
  plume

abstract:
  The effect of Prandtl number on the linear stability of a plane thermal plume
is analyzed under quasi-parallel approximation. At large Prandtl numbers
($Pr>100$), we found that there is an additional unstable loop whose size
increases with increasing $Pr$. The origin of this new instability mode is
shown to be tied to the coupling of the momentum and thermal perturbation
equations. Analyses of the perturbation kinetic energy and thermal energy
suggest that the buoyancy force is the main source of perturbation energy at
high Prandtl numbers that drives this instability.


title:
Trilinear Higgs couplings in the two Higgs doublet model with CP
  violation

abstract:
  We carry out a detailed analysis of the general two Higgs doublet model with
CP violation. We describe two different parametrizations of this model, and
then study the Higgs boson masses and the trilinear Higgs couplings for these
two parametrizations. Within a rather general model, we find that the trilinear
Higgs couplings have a significant dependence on the details of the model, even
when the lightest Higgs boson mass is taken to be a fixed parameter. We include
radiative corrections in the one-loop effective potential approximation in our
analysis of the Higgs boson masses and the Higgs trilinear couplings. The
one-loop corrections to the trilinear couplings of the two Higgs doublet model
also depend significantly on the details of the model, and can be rather large.
We study quantitatively the trilinear Higgs couplings, and show that these
couplings are typically several times larger than the corresponding Standard
Model trilinear Higgs coupling in some regions of the parameter space. We also
briefly discuss the decoupling limit of the two Higgs doublet model.


title: Rapid change of electronic anisotropy in overdoped (Y,Ca)Ba2Cu3O7-d

abstract:
  Electronic anisotropy was studied for overdoped (Y,Ca)Ba2Cu3O7-d with various
doping levels (p). It was found that the pseudogap-like behavior in the
resistivity disappear when p exceeds 0.17, independent of the oxygen
deficiency. The anisotropy ratio (g) estimated from upper critical fields
showed a rapid decrease at around p = 0.18, approaching g = 3 for p > 0.20.


title:
Migration and Final Location of Hot Super Earths in the Presence of Gas
  Giants

abstract:
  Based on the conventional sequential-accretion paradigm, we have proposed
that, during the migration of first-born gas giants outside the orbits of
planetary embryos, super Earth planets will form inside the 2:1 resonance
location by sweeping of mean motion resonances (Zhou et al. 2005). In this
paper, we study the subsequent evolution of a super Earth (m_1) under the
effects of tidal dissipation and perturbation from a first-born gas giant (m_2)
in an outside orbit. Secular perturbation and mean motion resonances
(especially 2:1 and 5:2 resonances) between m_1 and m_2 excite the eccentricity
of m_1, which causes the migration of m_1 and results in a hot super Earth. The
calculated final location of the hot super Earth is independent of the tidal
energy dissipation factor Q'. The study of migration history of a Hot Super
Earth is useful to reveal its Q' value and to predict its final location in the
presence of one or more hot gas giants. When this investigation is applied to
the GJ876 system, it correctly reproduces the observed location of GJ876d
around 0.02AU.


title:
Hydrodynamic Theory for Reverse Brazil Nut Segregation and the
  Non-monotonic Ascension Dynamics

abstract:
  Based on the Boltzmann-Enskog kinetic theory, we develop a hydrodynamic
theory for the well known (reverse) Brazil nut segregation in a vibro-fluidized
granular mixture. Using an analogy with standard fluid mechanics, we have
recently suggested a novel mechanism of segregation in granular mixtures based
on a {\it competition between buoyancy and geometric forces}: the Archimedean
buoyancy force, a pseudo-thermal buoyancy force due to the difference between
the energies of two granular species, and two geometric forces, one compressive
and the other-one tensile in nature, due to the size-difference. For a mixture
of perfectly hard-particles with elastic collisions, the pseudo-thermal
buoyancy force is zero but the intruder has to overcome the net compressive
geometric force to rise. For this case, the geometric force competes with the
standard Archimedean buoyancy force to yield a threshold density-ratio,
$R_{\rho 1}=\rho_l/\rho_s < 1$, above which the {\it lighter intruder sinks},
thereby signalling the {\it onset} of the {\it reverse buoyancy} effect. For a
mixture of dissipative particles, the non-zero pseudo-thermal buoyancy force
gives rise to another threshold density-ratio, $R_{\rho 2}$ ($> R_{\rho 1}$),
above which the intruder rises again. Focussing on the {\it tracer} limit of
intruders in a dense binary mixture, we find that the rise-time of the intruder
could vary {\it non-monotonically} with the density-ratio. For a given
size-ratio, there is a threshold density-ratio for the intruder at which it
takes the maximum time to rise, and above(/below) which it rises faster,
implying that {\it the heavier (and larger) the intruder, the faster it
ascends}. Our theory offers a unified description for the (reverse) Brazil-nut
segregation and the non-monotonic ascension dynamics of Brazil-nuts.


title: V-Variable Fractals: Fractals with Partial Self Similarity

abstract:
  We establish properties of a new type of fractal which has partial self
similarity at all scales. For any collection of iterated functions systems with
an associated probability distribution and any positive integer V there is a
corresponding class of V-variable fractal sets or measures. These V-variable
fractals can be obtained from the points on the attractor of a single
deterministic iterated function system. Existence, uniqueness and approximation
results are established under average contractive assumptions. We also obtain
extensions of some basic results concerning iterated function systems.


title: Quantizations of the $W$ Algebra W(2,2)

abstract:
  We quantize the $W$-algebra W(2,2), whose Verma modules, Harish-Chandra
modules, irreducible weight modules and Lie bialgebra structures have been
investigated and determined in a series of papers recently.


title:
Renormalization for a Class of Dynamical Systems: some Local and Global
  Properties

abstract:
  We study the period doubling renormalization operator for dynamics which
present two coupled laminar regimes with two weakly expanding fixed points. We
focus our analysis on the potential point of view, meaning we want to solve
$$V=\mathcal{R} (V):=V\circ f\circ h+V \circ h,$$ where $f$ and $h$ are
naturally defined. Under certain hypothesis we show the existence of a explicit
``attracting'' fixed point $V^*$ for $\mathcal{R} $. We call $\mathcal{R}$ the
renormalization operator which acts on potentials $V$. The log of the
derivative of the main branch of the Manneville-Pomeau map appears as a special
``attracting'' fixed point for the local doubling period renormalization
operator. We also consider an analogous definition for the one-sided 2-full
shift $\S$ (and also for the two-sided shift) and we obtain a similar result.
Then, we consider global properties and we prove two rigidity results. Up to
some weak assumptions, we get the uniqueness for the renormalization operator
in the shift. In the last section we show (via a certain continuous fraction
expansion) a natural relation of the two settings: shift acting on the
Bernoulli space $\{0,1\}^\mathbb{N}$ and Manneville-Pomeau-like map acting on
an interval.


title:
The constant-pressure molecular dynamics for finite systems and its
  applications

abstract:
  Recently we proposed a new constant-pressure molecular dynamics method for
finite systems. In this paper, we discuss the current understanding of this
method and its technique details. We also review the recent theoretical
advances of nano-system under pressure by using this method.


title: Continuous and Random Vapnik-Chervonenkis Classes

abstract:
  We show that if $T$ is a dependent theory then so is its Keisler
randomisation $T^R$. In order to do this we generalise the notion of a
Vapnik-Chervonenkis class to families of $[0,1]$-valued functions (a
\emph{continuous} Vapnik-Chervonenkis class), and we characterise families of
functions having this property via the growth rate of the mean width of an
associated family of convex compacts.


title: Nonparametric Bayesian model selection and averaging

abstract:
  We consider nonparametric Bayesian estimation of a probability density $p$
based on a random sample of size $n$ from this density using a hierarchical
prior. The prior consists, for instance, of prior weights on the regularity of
the unknown density combined with priors that are appropriate given that the
density has this regularity. More generally, the hierarchy consists of prior
weights on an abstract model index and a prior on a density model for each
model index. We present a general theorem on the rate of contraction of the
resulting posterior distribution as $n\to \infty$, which gives conditions under
which the rate of contraction is the one attached to the model that best
approximates the true density of the observations. This shows that, for
instance, the posterior distribution can adapt to the smoothness of the
underlying density. We also study the posterior distribution of the model
index, and find that under the same conditions the posterior distribution gives
negligible weight to models that are bigger than the optimal one, and thus
selects the optimal model or smaller models that also approximate the true
density well. We apply these result to log spline density models, where we show
that the prior weights on the regularity index interact with the priors on the
models, making the exact rates depend in a complicated way on the priors, but
also that the rate is fairly robust to specification of the prior weights.


title: Representations of the Poincare group on relativistic phase space

abstract:
  We introduce a complex relativistic phase space as the space $\mathbb{C}^4$
equipped with the Minkowski metric and with a geometric tri-product on it. The
geometric tri-product is similar to the triple product of the bounded symmetric
domain of type IV in Cartan's classification, called the spin domain. We define
a spin 1 representations of the Lie algebra of the Poincar\'{e} group by
natural operators of this tri-product on the complex relativistic phase space.
This representation is connected with the electromagnetic tensor. A spin 1/2
representation on the complex relativistic phase space is constructed be use of
the complex Faraday electromagnetic tensor. We show that the Newman-Penrose
basis for the phase space determines the Dirac bi-spinors under this
representation. Quite remarkable that the tri-product representation admits
only spin 1 and spin 1/2 representations which correspond to most particles of
nature.


title: On the Supremum of Some Random Dirichlet Polynomials

abstract:
  We study the supremum of some random Dirichlet polynomials with independent
coefficients and obtain sharp upper and lower bounds for supremum expectation
thus extending the results from our previous work (see
http://arXiv.org/abs/math/0703691). Our approach in proving these results is
entirely based on methods of stochastic processes, in particular the metric
entropy method.


title:
Study of the low-temperature behavior of a disordered antiferromagnet
  with random fields by the parallel-tempering method

abstract:
  The parallel-tempering method has been applied to numerically study the
thermodynamic behavior of a three-dimensional disordered antiferromagnetic
Ising model with random fields at spin concentrations corresponding to regions
of both weak and strong structural disorder. An analysis of the low-temperature
behavior of the model convincingly shows that in the case of a weakly
disordered samples there is realized an antiferromagnetic ordered state, while
in the region of strong structural disorder the effects of random magnetic
fields lead to the realization of a new phase state of the system with a
complex domain structure consisting of antiferromagnetic and ferromagnetic
domains separated by regions of a spin-glass phase and characterized by a
spinglass ground state.


title:
First-order transition features of the 3D bimodal random-field Ising
  model

abstract:
  Two numerical strategies based on the Wang-Landau and Lee entropic sampling
schemes are implemented to investigate the first-order transition features of
the 3D bimodal ($\pm h$) random-field Ising model at the strong disorder
regime. We consider simple cubic lattices with linear sizes in the range
$L=4-32$ and simulate the system for two values of the disorder strength: $h=2$
and $h=2.25$. The nature of the transition is elucidated by applying the
Lee-Kosterlitz free-energy barrier method. Our results indicate that, despite
the strong first-order-like characteristics, the transition remains continuous,
in disagreement with the early mean-field theory prediction of a tricritical
point at high values of the random-field.


title: Novel insights into the dynamics of intractable human epilepsy

abstract:
  Probability density functions and the probability of Sz occurrence
conditional upon the time elapsed from the previous Sz were estimated using the
energy and intervals of SZ in prolonged recordings from subjects with
localization- related pharmaco-resistant epilepsy, undergoing surgical
evaluation. Clinical and subclinical seizure E and ISI distributions are
governed by power laws in subjects on reduced doses of anti-seizure drugs.
There is increased probability of Sz occurrence 30 minutes before and after a
seizure and the time to next seizure increases with the duration of the
seizure-free interval since the last one. Also, over short time scales,
``seizures may beget seizures.'' The cumulative empirical evidence is
compatible with and suggests that at least over short time scales, seizures
have the inherent capacity of triggering other seizures. This may explain the
tendency of seizures to cluster and evolve into status epilepticus. Power law
distributions of E and ISI indicate these features lack a typical size/duration
and may not be accurate criteria or sufficient for classifying paroxysmal
activity as ictal or interictal. This dependency and the existence of power law
distributions raise the possibility that Sz occurrence and intensity may be
predictable, without specifying the likelihood of success.


title: Motzkin numbers, central trinomial coefficients and hybrid polynomials

abstract:
  We show that the formalism of hybrid polynomials, interpolating between
Hermite and Laguerre polynomials, is very useful in the study of Motzkin
numbers and central trinomial coefficients. These sequences are identified as
special values of hybrid polynomials, a fact which we use to derive their
generalized forms and new identities satisfied by them.


title: Transfer matrix method to study electromagnetic shower

abstract:
  Transfer matrix method gives underlying dynamics of a multifractal. In the
present studies transfer matrix method is applied to multifractal properties of
Cherenkov image from which probabilities of electromagnetic components are
obtained.


title: Phase Diagram of the 3D Bimodal Random-Field Ising Model

abstract:
  The one-parametric Wang-Landau (WL) method is implemented together with an
extrapolation scheme to yield approximations of the two-dimensional
(exchange-energy, field-energy) density of states (DOS) of the 3D bimodal
random-field Ising model (RFIM). The present approach generalizes our earlier
WL implementations, by handling the final stage of the WL process as an
entropic sampling scheme, appropriate for the recording of the required
two-parametric histograms. We test the accuracy of the proposed extrapolation
scheme and then apply it to study the size-shift behavior of the phase diagram
of the 3D bimodal RFIM. We present a finite-size converging approach and a
well-behaved sequence of estimates for the critical disorder strength. Their
asymptotic shift-behavior yields the critical disorder strength and the
associated correlation length's exponent, in agreement with previous estimates
from ground-state studies of the model.


title: Uniformly Rotating Homogeneous Rings in Newtonian Gravity

abstract:
  In this paper, we describe an analytical method for treating uniformly
rotating homogeneous rings without a central body in Newtonian gravity. We
employ series expansions about the thin ring limit and use the fact that in
this limit the cross-section of the ring tends to a circle. The coefficients
can in principle be determined up to an arbitrary order. Results are presented
here to the 20th order and compared with numerical results.


title: Photon-like flying qubit in the coupled cavity array

abstract:
  We propose a feasible scheme to realize a spin network via a coupled cavity
array with the appropriate arrangement of external multi-driving lasers. It is
demonstrated that the linear photon-like dispersion is achievable and this
property opens up the possibility of realizing the pre-engineered spin network
which is beneficial to quantum information processing.


title: Negative radiation pressure exerted on kinks

abstract:
  The interaction of a kink and a monochromatic plane wave in one dimensional
scalar field theories is studied. It is shown that in a large class of models
the radiation pressure exerted on the kink is negative, i.e. the kink is {\sl
pulled} towards the source of the radiation. This effect has been observed by
numerical simulations in the $\phi^4$ model, and it is explained by a
perturbative calculation assuming that the amplitude of the incoming wave is
small. Quite importantly the effect is shown to be robust against small
perturbations of the $\phi^4$ model. In the sine-Gordon (sG) model the time
averaged radiation pressure acting on the kink turns out to be zero. The
results of the perturbative computations in the sG model are shown to be in
full agreement with an analytical solution corresponding to the superposition
of a sG kink with a cnoidal wave. It is also demonstrated that the acceleration
of the kink satisfies Newton's law.


title: Uniformly Rotating Polytropic Rings in Newtonian Gravity

abstract:
  An iterative method is presented for solving the problem of a uniformly
rotating, self-gravitating ring without a central body in Newtonian gravity by
expanding about the thin ring limit. Using this method, a simple formula
relating mass to the integrated pressure is derived to the leading order for a
general equation of state. For polytropes with the index n=1, analytic
coefficients of the iterative approach are determined up to the third order.
Analogous coefficients are computed numerically for other polytropes. Our
solutions are compared with those generated by highly accurate numerical
methods to test their accuracy.


title:
Central limit theorem for Hotelling's $T^2$ statistic under large
  dimension

abstract:
  In this paper we prove the central limit theorem for Hotelling's $T^2$
statistic when the dimension of the random vectors is proportional to the
sample size.


title: Contribution to the study of narrow low mass hadronic structures

abstract:
  New data are presented, concerning narrow exotic structures in mesons,
baryons and dibaryons. The sequence of narrow baryons is quite well described
starting from the sequence of narrow mesons. In the same way, the sequence of
narrow dibaryons is rather well described starting from the sequence of narrow
baryons. Lastly it is shown that the masses of these narrow hadronic structures
lie on straight line Regge-like trajectories.


title:
A reassessment of the evidence of the Integrated Sachs-Wolfe effect
  through the WMAP-NVSS correlation

abstract:
  We reassess the estimate of the cross-correlation of the spatial distribution
of the NRAO VLA Sky Survey (NVSS) radio sources with that of Cosmic Microwave
Background (CMB) anisotropies from the Wilkinson Microwave Anisotropy Probe
(WMAP). This re-analysis is motivated by the fact that most previous studies
adopted a redshift distribution of NVSS sources inconsistent with recent data.
We find that the constraints on the bias-weighted redshift distribution,
b(z)xN(z), of NVSS sources, set by the observed angular correlation function,
w(theta), strongly mitigate the effect of the choice of N(z). If such
constraints are met, even highly discrepant redshift distributions yield
NVSS-WMAP cross-correlation functions consistent with each other within
statistical errors. The models favoured by recent data imply a bias factor,
b(z), decreasing with increasing z, rather than constant, as assumed by most
previous analyses. As a consequence, the function b(z)xN(z) has more weight at
z<1, i.e. in the redshift range yielding the maximum contribution to the ISW in
a standard LambdaCDM cosmology. On the whole, the NVSS turns out to be better
suited for ISW studies than generally believed, even in the absence of an
observational determination of the redshift distribution. The NVSS-WMAP
cross-correlation function is found to be fully consistent with the prediction
of the standard LambdaCDM cosmology.


title: Dynamics of matter-wave solitons in a ratchet potential

abstract:
  We study the dynamics of bright solitons formed in a Bose-Einstein condensate
with attractive atomic interactions perturbed by a weak bichromatic optical
lattice potential. The lattice depth is a biperiodic function of time with a
zero mean, which realises a flashing ratchet for matter-wave solitons. The
average velocity of a soliton and the directed soliton current induced by the
ratchet depend on the number of atoms in the soliton. We employ this feature to
study collisions between ratchet-driven solitons and find that soliton
transport can be induced through their interactions. In the regime when
matter-wave solitons are narrow compared to the lattice period the ratchet
dynamics is well described by the effective Hamiltonian theory.


title: Solving the octant degeneracy with the Silver channel

abstract:
  We study the potential of the combination of the golden ($\nu_e \to \nu_\mu$)
and silver ($\nu_e \to \nu_\tau$) channels to solve the octant degeneracy
affecting the measurement of $\theta_{13}$ and $\delta$ at future neutrino
factories. To search for $\tau$ leptons produced in $\nu_\tau$ charged-current
interactions, we consider two different detectors: the Emulsion Cloud Chamber
detector (ECC) and the Liquid Argon Time Projection Chamber (LAr TPC). We show
that, when using similar detector masses, the upgraded version of the ECC
detector (sensitive also to hadronic $\tau$ decay modes) and the LAr TPC
detector have comparable sensitivities to the octant of $\theta_{23}$, being
able to discriminate the two solutions for $\sin^2 (2\theta_{13}) \gtrsim
10^{-3}$ at 3$\sigma$ level if $\theta_{23}=40^\circ$. We also show that the
same setups are able to see deviation from maximal mixing as small as $\sim$
(4-6)% (at 3$\sigma$) if $\theta_{13}$ is close to its upper bound.


title: Baryon Resonances Observed at BES

abstract:
  The $\psi$ decays provide a novel way to explore baryon spectroscopy and
baryon structure. The baryon resonances observed from $\psi$ decays at BES are
reviewed. The implications and prospects at upgraded BESIII/BEPCII are
discussed.


title: Gluons in glueballs: Spin or helicity?

abstract:
  In the last decade, lattice QCD has been able to compute the low-lying
glueball spectrum with accuracy. Like other effective approaches of QCD,
potential models still have difficulties to cope with gluonic hadrons. Assuming
that glueballs are bound states of valence gluons with zero current mass, it is
readily understood that the use of a potential model, intrinsically non
covariant, could be problematic in this case. The main challenge for this kind
of model is actually to find a way to introduce properly the more relevant
degree of freedom of the gluon: spin or helicity. In this work, we use the
so-called helicity formalism of Jacob and Wick to describe two-gluon glueballs.
We show in particular that this helicity formalism exactly reproduces the
$J^{PC}$ numbers which are observed in lattice QCD when the constituent gluons
have a helicity-1, without introducing extra states as it is the case in most
of the potential models. These extra states appear when gluons are seen as
spin-1 particles. Using a simple spinless Salpeter model with Cornell potential
within the helicity formalism, we obtain a glueball mass spectrum which is in
good agreement with lattice QCD predictions for helicity-1 gluons provided
instanton-induced interactions are taken into account.


title:
Thermal critical behavior and universality aspects of the
  three-dimensional random-field Ising model

abstract:
  The three-dimensional bimodal random-field Ising model is investigated using
the N-fold version of the Wang-Landau algorithm. The essential energy subspaces
are determined by the recently developed critical minimum energy subspace
technique, and two implementations of this scheme are utilized. The random
fields are obtained from a bimodal discrete $(\pm\Delta)$ distribution, and we
study the model for various values of the disorder strength $\Delta$,
$\Delta=0.5, 1, 1.5$ and 2, on cubic lattices with linear sizes $L=4-24$. We
extract information for the probability distributions of the specific heat
peaks over samples of random fields. This permits us to obtain the phase
diagram and present the finite-size behavior of the specific heat. The question
of saturation of the specific heat is re-examined and it is shown that the open
problem of universality for the random-field Ising model is strongly influenced
by the lack of self-averaging of the model. This property appears to be
substantially depended on the disorder strength.


title: A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4

abstract:
  We discuss a grand unified model based on SUSY SU(5) in extra dimensions and
on the flavour group A4xU(1) which, besides reproducing tri-bimaximal mixing
for neutrinos with the accuracy required by the data, also leads to a natural
description of the observed pattern of quark masses and mixings.


title: Collapse in boson-fermion mixtures with all-repulsive interactions

abstract:
  We describe the collapse of the bosonic component in a boson-fermion mixture
due to the pressure exerted on them by a large fermionic component, leading to
collapse in a system with all-repulsive interactions. We describe the phenomena
early collapse and of super-slow collapse of the mixture.


title:
Field structure and electron life times in the MEFISTO Electron
  Cyclotron Resonance Ion Source

abstract:
  The complex magnetic field of the permanent-magnet electron cyclotron
resonance (ECR) ion source MEFISTO located at the University of Bern have been
numerically simulated. For the first time the magnetized volume qualified for
electron cyclotron resonance at 2.45 GHz and 87.5 mT has been analyzed in
highly detailed 3D simulations with unprecedented resolution. New results were
obtained from the numerical simulation of 25211 electron trajectories. The
evident characteristic ion sputtering trident of hexapole confined ECR sources
has been identified with the field and electron trajectory distribution.
Furthermore, unexpected long electron trajectory lifetimes were found.


title: Ultrafast dynamics of a magnetic antivortex - Micromagnetic simulations

abstract:
  The antivortex is a fundamental magnetization structure which is the
topological counterpart of the well-known magnetic vortex. We study here the
ultrafast dynamic behavior of an isolated antivortex in a patterned Permalloy
thin-film element. Using micromagnetic simulations we predict that the
antivortex response to an ultrashort external field pulse is characterized by
the production of a new antivortex as well as of a temporary vortex, followed
by an annihilation process. These processes are complementary to the recently
reported response of a vortex and, like for the vortex, lead to the reversal of
the orientation of the antivortex core region. In addition to its fundamental
interest, this dynamic magnetization process could be used for the generation
and propagation of spin waves for novel logical circuits.


title:
On various validity criteria for the configuration average in
  collisional-radiative codes

abstract:
  The characterization of out-of-local-thermal-equilibrium plasmas requires the
use of collisional-radiative kinetic equations. This leads to the solution of
large linear systems, for which statistical treatments such as configuration
average may bring considerable simplification. In order to check the validity
of this procedure, a criterion based on the comparison between a partial-rate
systems and the Saha-Boltzmann solution is discussed in detail here. Several
forms of this criterion are discussed. The interest of these variants is that
they involve each type of relevant transition (collisional or radiative), which
allows one to check separately the influence of each of these processes on the
configuration-average validity. The method is illustrated by a
charge-distribution analysis in carbon and neon plasmas. Finally, it is
demonstrated that when the energy dispersion of every populated configuration
is smaller than the electron thermal energy, the proposed criterion is
fulfilled in each of its forms.


title: Prospects for strangeness measurement in ALICE

abstract:
  The study of strangeness production at LHC will bring significant information
on the bulk chemical properties, its dynamics and the hadronisation mechanisms
involved at these energies. The ALICE experiment will measure strange particles
from topology (secondary vertices) and from resonance decays over a wide range
in transverse momentum and shed light on this new QCD regime. These motivations
will be presented as well as the identification performance of ALICE for
strange hadrons.


title:
The University of New South Wales Extrasolar Planet Search: a catalogue
  of variable stars from fields observed 2004--2007

abstract:
  We present a new catalogue of variable stars compiled from data taken for the
University of New South Wales Extrasolar Planet Search. From 2004 October to
2007 May, 25 target fields were each observed for 1-4 months, resulting in
~87000 high precision light curves with 1600-4400 data points. We have
extracted a total of 850 variable light curves, 659 of which do not have a
counterpart in either the General Catalog of Variable Stars, the New Suspected
Variables catalogue or the All Sky Automated Survey southern variable star
catalogue. The catalogue is detailed here, and includes 142 Algol-type
eclipsing binaries, 23 beta Lyrae-type eclipsing binaries, 218 contact
eclipsing binaries, 53 RR Lyrae stars, 26 Cepheid stars, 13 rotationally
variable active stars, 153 uncategorised pulsating stars with periods <10 d,
including delta Scuti stars, and 222 long period variableswith variability on
timescales of >10 d. As a general application of variable stars discovered by
extrasolar planet transit search projects, we discuss several astrophysical
problems which could benefit from carefully selected samples of bright
variables. These include: (i) the quest for contact binaries with the smallest
mass ratio, which could be used to test theories of binary mergers; (ii)
detached eclipsing binaries with pre-main-sequence components, which are
important test objects for calibrating stellar evolutionary models; and (iii)
RR Lyrae-type pulsating stars exhibiting the Blazhko-effect, which is one of
the last great mysteries of pulsating star research.


title:
On principally generated Q-modules in general, and skew local
  homeomorphisms in particular

abstract:
  Ordered sheaves on a small quantaloid Q have been defined in terms of
Q-enriched categorical structures; they form a locally ordered category Ord(Q).
The free-cocompletion KZ-doctrine on Ord(Q) has Mod(Q), the quantaloid of
Q-modules, as category of Eilenberg-Moore algebras. In this paper we give an
intrinsic description of the Kleisli algebras: we call them the 'locally
principally generated Q-modules'. We deduce that Ord(Q) is biequivalent to the
2-category of locally principally generated Q-modules and left adjoint module
morphisms. The example of locally principally generated modules on a locale X
is worked out in full detail: relating X-modules to objects of the slice
category Loc/X, we show that ordered sheaves on X correspond with 'skew local
homeomorphisms into X' (like sheaves on X correspond with local homeomorphisms
into X).


title: A direct proof of one Gromov's theorem

abstract:
  We give a new proof of the Gromov theorem: For any $C>0$ and integer $n>1$
there exists a function $\Delta_{C,n}$ such that if the Gromov--Hausdorff
distance between complete Riemannian $n$-manifolds $V$ and $W$ is not greater
than $\delta$, absolute values of their sectional curvatures $|K_{\sigma}|\leq
C$, and their injectivity radii $\geq 1/C$, then the Lipschitz distance between
$V$ and $W$ is less than $\Delta_{C,n}(\delta)$ and $\Delta_{C,n}\to 0$ as
$\delta\to 0$.


title: The Fundamental Constants in Physics and their Time Dependence

abstract:
  We discuss the fundamemtal constants in the Standard Model of particle
physics, in particular possible changes of these constants on the cosmological
time scale. The Grand Unification of the observed strong, electromagnetic and
weak interactions implies relations between time variation of the finestructure
constant alpha and the QCD scale $\Lambda_c$. The astrophysical observation of
a variation implies a time variation of $10^{-15} / year$. Several experiments
in Quantum Optics, which were designed to look for a time variation of
$\Lambda_c$, are discussed.


title: Self-Similar Magnetic Arcades

abstract:
  We study self-similar analytical solutions for force-free magnetic field in
azimuthal symmetry and arcade topology. We assume the existence of a poloidal
magnetic field, anchored on a heavy spherical conductor. The field is changed
by shearing the foot points of the arcade due to differential rotation. This
rotation gives rise to a toroidal component in the magnetic structure which
reacts by expanding the poloidal flux outwards. This could be a slow process at
the early stages, however it becomes very fast at the final stages when the
poloidal flux expands to infinity. We address the question of the pressure
environment confining the arcade, a pressure profile proportional to $r^{-4}$
is particularly interesting as it allows finite twist before the field expands
to infinity. Finally, some time evolution estimates are made to demonstrate the
limitations of this study.


title: Detecting photon-photon scattering in vacuum at exawatt lasers

abstract:
  In a recent paper, we have shown that the QED nonlinear corrections imply a
phase correction to the linear evolution of crossing electromagnetic waves in
vacuum. Here, we provide a more complete analysis, including a full numerical
solution of the QED nonlinear wave equations for short-distance propagation in
a symmetric configuration. The excellent agreement of such a solution with the
result that we obtain using our perturbatively-motivated Variational Approach
is then used to justify an analytical approximation that can be applied in a
more general case. This allows us to find the most promising configuration for
the search of photon-photon scattering in optics experiments. In particular, we
show that our previous requirement of phase coherence between the two crossing
beams can be released. We then propose a very simple experiment that can be
performed at future exawatt laser facilities, such as ELI, by bombarding a low
power laser beam with the exawatt bump.


title:
The Riemann hypothesis for Weng's zeta function of $Sp(4)$ over
  $\mathbb{Q}$

abstract:
  As a generalization of the Dedekind zeta function, Weng defined the high rank
zeta functions and proved that they have standard properties of zeta functions,
namely, meromorphic continuation, functional equation, and having only two
simple poles. The rank one zeta function is the Dedekind zeta function. For the
rank two case, the Riemann hypothesis is proved for a general number field.
Recently, he defined more general new zeta function associated to a pair of
reductive group and its maximal parabolic subgroup. As well as high rank zeta
functions, the new zeta function satisfies standard properties of zeta
functions.In this paper, we prove that the Riemann hypothesis of Weng's zeta
function attached to the sympletic group of degree four.This paper includes an
appendix written by L. Weng, in which he explains a general construction for
zeta functions associated to $Sp(2n)$.


title:
Curvature corrections to the low energy effective theory in 6D
  regularized braneworlds

abstract:
  We study the effective gravitational theory on a brane in a six-dimensional
Einstein-Maxwell model of flux compactification, regularizing a conical defect
as a codimension-one brane. We employ the gradient expansion technique valid at
low energies. A lowest order analysis showed that standard four-dimensional
Einstein gravity is reproduced on the brane. We extend this study to include
second order corrections in the effective equations, and show that the
correction term is given by a quadratic energy-momentum tensor. Taking the
thin-brane limit where the regularized brane shrinks to the pole, we find that
the second order metric diverges logarithmically on the brane, giving rise to
divergences in the brane effective action. Away from the branes, the effective
action is however well-defined.


title: Zeta functions for $G_2$ and their zeros

abstract:
  The exceptional group $G_2$ has two maximal parabolic subgroups $P_{long}$,
$P_{short}$ corresponding to the so-called long root and short root. In this
paper, the second author introduces two zeta functions associated to
$(G_2,P_{long})$ and $(G_2,P_{short})$ respectively, and the first author
proves that these zetas satisfy the Riemann Hypothesis.


title: Power Law of Customers' Expenditures in Convenience Stores

abstract:
  In a convenience store chain, a tail of the cumulative density function of
the expenditure of a person during a single shopping trip follows a power law
with an exponent of -2.5. The exponent is independent of the location of the
store, the shopper's age, the day of week, and the time of day.


title:
Next-to-next-to-leading order ${\cal O}(\alpha_s^4)$ results for heavy
  quark pair production in quark--antiquark collisions: The one-loop squared
  contributions

abstract:
  We calculate the next-to-next-to-leading order ${\cal O}(\alpha_s^4)$
one-loop squared corrections to the production of heavy quark pairs in
quark-antiquark annihilations. These are part of the next-to-next-to-leading
order ${\cal O}(\alpha_s^4)$ radiative QCD corrections to this process. Our
results, with the full mass dependence retained, are presented in a closed and
very compact form, in the dimensional regularization scheme. We have found very
intriguing factorization properties for the finite part of the amplitudes.


title: Hybrid simulations of mini-magnetospheres in the laboratory

abstract:
  Solar energetic ions are a known hazard to both spacecraft electronics and to
manned space flights in interplanetary space missions that extend over a long
period of time. A dipole-like magnetic field and a plasma source, forming a
mini magnetosphere, are being tested in the laboratory as means of protection
against such hazards. We investigate, via particle-in-cell hybrid simulations,
using kinetic ions and fluid electrons, the characteristics of the mini
magnetospheres. Our results, for parameters identical to the experimental
conditions, reveal the formation of a mini-magnetosphere, whose features are
scanned with respect to the plasma density, the plasma flow velocity, and the
intensity of the dipole field. Comparisons with a simplified theoretical model
reveal a good qualitative agreement and excellent quantitative agreement for
higher plasma dynamic pressures and lower B-fields.


title: Properties of cellular classes of chain complexes

abstract:
  In this paper we prove certain properties of cellular and acyclic classes of
chain complexes of modules over a commutative Noetherian ring. In particular we
show that if X is finite and belongs to some cellular class C then \Sigma^n H_X
also belongs to C, for every n.


title: The transport of cosmic rays in self-excited magnetic turbulence

abstract:
  The process of diffusive shock acceleration relies on the efficacy with which
hydromagnetic waves can scatter charged particles in the precursor of a shock.
The growth of self-generated waves is driven by both resonant and non-resonant
processes. We perform high-resolution magnetohydrodynamic simulations of the
non-resonant cosmic-ray driven instability, in which the unstable waves are
excited beyond the linear regime. In a snapshot of the resultant field,
particle transport simulations are carried out. The use of a static snapshot of
the field is reasonable given that the Larmor period for particles is typically
very short relative to the instability growth time. The diffusion rate is found
to be close to, or below, the Bohm limit for a range of energies. This provides
the first explicit demonstration that self-excited turbulence reduces the
diffusion coefficient and has important implications for cosmic ray transport
and acceleration in supernova remnants.


title: Velocity and charge reconstruction with the AMS/RICH detector

abstract:
  The Alpha Magnetic Spectrometer (AMS), to be installed on the International
Space Station (ISS) in 2008, will be equipped with a proximity focusing Ring
Imaging CHerenkov detector (RICH). This detector will be equipped with a dual
radiator (aerogel+NaF), a lateral conical mirror and a detection plane made of
680 photomultipliers and light-guides, enabling measurements of particle
electric charge and velocity. A likelihood method for the Cherenkov angle
reconstruction was applied leading to a velocity determination for protons with
a resolution around 0.1%. The electric charge reconstruction is based on the
counting of the number of photoelectrons and on an overall efficiency
estimation on an event-by-event basis. Results from the application of both
methods are presented.


title: Quadratic enhancements of surfaces: two vanishing results

abstract:
  This note records two results which were inexplicably omitted from our paper
on Pin structures on low dimensional manifolds, [KT]. Kirby chose not to be
listed as a coauthor.
  A Pin^- structure on a surface F induces a quadratic enhancement of the mod 2
intersection form, q: H_1(F;Z/2Z) -> Z/4Z
  Theorem 1.1 says that q vanishes on the kernel of the map in homology to a
bounding 3-manifold. This is used by Kreck and Puppe (arXiv:0707.1599
[math.AT]) who refer for a proof to an email of the author to Kreck. A more
polished and public proof seems desirable.
  In [KT], section 6, a Pin^- structure is constructed on a surface F dual to
w_2 in an oriented 4-manifold M^4. Theorem 2.1 says that q vanishes on the
Poincare dual to the image of H^1(M^4;Z/2Z) in H^1(F;Z/2Z).


title:
Canonical Analysis of the Jackiw-Teitelboim Model in the Temporal Gauge.
  I. The Classical Theory

abstract:
  As a preparation for its quantization in the loop formalism, the
2-dimensional gravitation model of Jackiw and Teitelboim is analysed in the
classical canonical formalism. The dynamics is of pure constraints as it is
well-known. A partial gauge fixing of the temporal type being performed, the
resulting second class constraints are sorted out and the corresponding Dirac
bracket algebra is worked out. Dirac observables of this classical theory are
then calculated.


title:
A Time-Evolving 3D Method Dedicated to the Reconstruction of Solar
  plumes and Results Using Extreme Ultra-Violet Data

abstract:
  An important issue in the tomographic reconstruction of the solar poles is
the relatively rapid evolution of the polar plumes. We demonstrate that it is
possible to take into account this temporal evolution in the reconstruction.
The difficulty of this problem comes from the fact that we want a 4D
reconstruction (three spatial dimensions plus time) while we only have 3D data
(2D images plus time). To overcome this difficulty, we introduce a model that
describes polar plumes as stationary objects whose intensity varies
homogeneously with time. This assumption can be physically justified if one
accepts the stability of the magnetic structure. This model leads to a bilinear
inverse problem. We describe how to extend linear inversion methods to these
kinds of problems. Studies of simulations show the reliability of our method.
Results for SOHO/EIT data show that we are able to estimate the temporal
evolution of polar plumes in order to improve the reconstruction of the solar
poles from only one point of view. We expect further improvements from
STEREO/EUVI data when the two probes will be separated by about 60 degrees.


title: Wall-oscillation conditions for drag reduction in turbulent channel flow

abstract:
  The drag reduction properties of a turbulent channel flow modified by
spanwise sinusoidal oscillations of the walls are investigated by direct
numerical simulations. The work is based on the linear relation between the
drag reduction and the parameter $S$, function of the maximum wall velocity and
the period of the oscillation. This quantity has been found through physical
arguments pertaining to the action of the oscillating Stokes layer on the
near-wall turbulence dynamics. The predictive potential of the scaling
parameter is exploited to gain insight into the drag-reducing effects of the
oscillating wall technique. The period of oscillation which guarantees the
maximum drag reduction for a given maximum wall displacement is studied for the
first time. The issue of the minimum intensity of wall forcing required to
produce a non-zero drag reduction effect and the dependence of the drag
reduction on the Reynolds number are also addressed. The drag reduction data
available in the literature are compared with the prediction given by the
scaling parameter, thus attaining a comprehensive view of the state of the art.


title: Ground states of colloidal molecular crystals on periodic substrates

abstract:
  Two dimensional suspensions of spherical colloids subject to periodic
external fields exhibit a rich variety of molecular crystalline phases. We
study in simulations the ground state configurations of dimeric and trimeric
systems, that are realized on square and triangular lattices, when either two
or three macroions are trapped in each external potential minimum. Bipartite
orders of the checkerboard or stripe types are reported together with more
complex quadripartite orderings, and the shortcomings of envisioning the
colloids gathered in a single potential minimum as a composite rigid object are
discussed. This work also sheds light on simplifying assumptions underlying
previous theoretical treatments and that made possible the mapping onto spin
models.


title: Shallow Models for Non-Iterative Modal Logics

abstract:
  The methods used to establish PSPACE-bounds for modal logics can roughly be
grouped into two classes: syntax driven methods establish that exhaustive proof
search can be performed in polynomial space whereas semantic approaches
directly construct shallow models. In this paper, we follow the latter approach
and establish generic PSPACE-bounds for a large and heterogeneous class of
modal logics in a coalgebraic framework. In particular, no complete
axiomatisation of the logic under scrutiny is needed. This does not only
complement our earlier, syntactic, approach conceptually, but also covers a
wide variety of new examples which are difficult to harness by purely syntactic
means. Apart from re-proving known complexity bounds for a large variety of
structurally different logics, we apply our method to obtain previously unknown
PSPACE-bounds for Elgesem's logic of agency and for graded modal logic over
reflexive frames.