title: Generalized Gevrey ultradistributions

abstract:
  We first introduce new algebras of generalized functions containing Gevrey
ultradistributions and then develop a Gevrey microlocal analysis suitable for
these algebras. Finally, we give an application through an extension of the
well-known H\"{o}rmander's theorem on the wave front of the product of two
distributions.


title: The importance of the initial geometry in heavy in collisions

abstract:
  Elliptic flow, elliptic flow fluctuations and fluctuations in the initial
geometry point to a description of nuclear collisions that is driven by the
initial geometry, a quantity which appears to be imprinted from the instant of
the collision. In these proceedings, recent results from the PHOBOS
collaboration are discussed in the context of the importance of the collision
geometry.


title:
Quantum wires in magnetic field: A comparative study of the Hartree-Fock
  and the spin density functional approaches

abstract:
  We present a detailed comparison of the self-consistent calculations based on
the Hartree-Fock and the spin density functional theory for a spit-gate quantum
wire in the IQH regime. We demonstrate that both approaches provide
qualitatively (and in most cases quantitatively) similar results for the
spin-resolved electron density, spin polarization, spatial spin separation at
the edges and the effective $g$ factor. The both approach give the same values
of the magnetic fields corresponding to the successive subband depopulation and
qualitatively similar evolution of the magnetosubbands. Quantitatively,
however, the HF and the DFT subbands are different (even though the
corresponding total electron densities are practically the same). In contrast
to the HF approach, the DFT calculations predict much larger spatial spin
separation near the wire edge for the low magnetic fields (when the
compressible strips for spinless electrons are not formed yet). In the opposite
limit of the large fields, the Hatree-Fock and the DFT approaches give very
similar values for the spatial spin separation.


title:
Design and Initial Performance of SHARP, a Polarimeter for the SHARC-II
  Camera at the Caltech Submillimeter Observatory

abstract:
  We have developed a fore-optics module that converts the SHARC-II camera at
the Caltech Submillimeter Observatory into a sensitive imaging polarimeter at
wavelengths of 350 and 450 microns. We refer to this module as "SHARP". SHARP
splits the incident radiation into two orthogonally polarized beams that are
then re-imaged onto opposite ends of the 32 x 12 pixel detector array in
SHARC-II. A rotating half-wave plate is used just upstream from the
polarization-splitting optics. The effect of SHARP is to convert SHARC-II into
a dual-beam 12 x 12 pixel polarimeter. A novel feature of SHARP's design is the
use of a crossed grid in a submillimeter polarimeter. Here we describe the
detailed optical design of SHARP and present results of tests carried out
during our first few observing runs. At 350 microns, the beam size (9
arcseconds), throughput (75%), and instrumental polarization (< 1%) are all
very close to our design goals.


title:
F-statistic search for white-dwarf binaries in the first Mock LISA Data
  Challenge

abstract:
  The F-statistic is an optimal detection statistic for continuous
gravitational waves, i.e., long-duration (quasi-)monochromatic signals with
slowly-varying intrinsic frequency. This method was originally developed in the
context of ground-based detectors, but it is equally applicable to LISA where
many signals fall into this class of signals. We report on the application of a
LIGO/GEO F-statistic code to LISA data-analysis using the long-wavelength limit
(LWL), and we present results of our search for white-dwarf binary signals in
the first Mock LISA Data Challenge. Somewhat surprisingly, the LWL is found to
be sufficient -- even at high frequencies -- for detection of signals and their
accurate localization on the sky and in frequency, while a more accurate
modelling of the TDI response only seems necessary to correctly estimate the
four amplitude parameters.


title:
Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative
  property

abstract:
  In this note we survey Hodge-theoretic formulae of Atiyah-Meyer type for
genera and characteristic classes of complex algebraic varieties, and derive
some new and interesting applications. We also present various extensions to
the singular setting of the Chern-Hirzebruch-Serre signature formula.


title: Incompressible, quasi-rigid deformations of 2-dimensional domains

abstract:
  his paper proposes a sensible definition of a deformation metric between
2-dimensional surfaces obtained from each other by an area preserving
(incompressible) mapping, and an algorithm for obtaining this metric, as well
as the optimal deformation.


title:
Computing and deflating eigenvalues while solving multiple right hand
  side linear systems in Quantum Chromodynamics

abstract:
  We present a new algorithm that computes eigenvalues and eigenvectors of a
Hermitian positive definite matrix while solving a linear system of equations
with Conjugate Gradient (CG). Traditionally, all the CG iteration vectors could
be saved and recombined through the eigenvectors of the tridiagonal projection
matrix, which is equivalent theoretically to unrestarted Lanczos. Our algorithm
capitalizes on the iteration vectors produced by CG to update only a small
window of vectors that approximate the eigenvectors. While this window is
restarted in a locally optimal way, the CG algorithm for the linear system is
unaffected. Yet, in all our experiments, this small window converges to the
required eigenvectors at a rate identical to unrestarted Lanczos. After the
solution of the linear system, eigenvectors that have not accurately converged
can be improved in an incremental fashion by solving additional linear systems.
In this case, eigenvectors identified in earlier systems can be used to
deflate, and thus accelerate, the convergence of subsequent systems. We have
used this algorithm with excellent results in lattice QCD applications, where
hundreds of right hand sides may be needed. Specifically, about 70 eigenvectors
are obtained to full accuracy after solving 24 right hand sides. Deflating
these from the large number of subsequent right hand sides removes the dreaded
critical slowdown, where the conditioning of the matrix increases as the quark
mass reaches a critical value. Our experiments show almost a constant number of
iterations for our method, regardless of quark mass, and speedups of 8 over
original CG for light quark masses.


title: Serial coalgebras and their valued Gabriel quivers

abstract:
  We study serial coalgebras by means of their valued Gabriel quivers. In
particular, Hom-computable and representation-directed coalgebras are
characterized. The Auslander-Reiten quiver of a serial coalgebra is described.
Finally, a version of Eisenbud-Griffith theorem is proved, namely, every
subcoalgebra of a prime, hereditary and strictly quasi-finite coalgebra is
serial.


title: Minors in expanding graphs

abstract:
  Extending several previous results we obtained nearly tight estimates on the
maximum size of a clique-minor in various classes of expanding graphs. These
results can be used to show that graphs without short cycles and other H-free
graphs contain large clique-minors, resolving some open questions in this area.


title: Additive approximation for edge-deletion problems

abstract:
  A graph property is monotone if it is closed under removal of vertices and
edges. In this paper we consider the following edge-deletion problem; given a
monotone property P and a graph G, compute the smallest number of edge
deletions that are needed in order to turn G into a graph satisfying P. We
denote this quantity by E_P(G).
  Our first result states that for any monotone graph property P, any \epsilon
>0 and n-vertex input graph G one can approximate E_P(G) up to an additive
error of \epsilon n^2
  Our second main result shows that such approximation is essentially best
possible and for most properties, it is NP-hard to approximate E_P(G) up to an
additive error of n^{2-\delta}, for any fixed positive \delta.
  The proof requires several new combinatorial ideas and involves tools from
Extremal Graph Theory together with spectral techniques. Interestingly, prior
to this work it was not even known that computing E_P(G) precisely for dense
monotone properties is NP-hard. We thus answer (in a strong form) a question of
Yannakakis raised in 1981.


title: Exploring black hole superkicks

abstract:
  Recent calculations of the recoil velocity in black-hole binary mergers have
found kick velocities of $\approx2500 $km/s for equal-mass binaries with
anti-aligned initial spins in the orbital plane. In general the dynamics of
spinning black holes can be extremely complicated and are difficult to analyze
and understand. In contrast, the ``superkick'' configuration is an example with
a high degree of symmetry that also exhibits exciting physics. We exploit the
simplicity of this ``test case'' to study more closely the role of spin in
black-hole recoil and find that: the recoil is with good accuracy proportional
to the difference between the $(l = 2, m = \pm 2)$ modes of $\Psi_4$, the major
contribution to the recoil occurs within $30M$ before and after the merger, and
that this is after the time at which a standard post-Newtonian treatment breaks
down. We also discuss consequences of the $(l = 2, m = \pm 2)$ asymmetry in the
gravitational wave signal for the angular dependence of the SNR and the
mismatch of the gravitational wave signals corresponding to the north and south
poles.


title:
Fractal Relativity, Generalized Noether Theorem and New Research of
  Space-Time

abstract:
  First, let the fractal dimension D=n(integer)+d(decimal), so the fractal
dimensional matrix was represented by a usual matrix adds a special decimal row
(column). We researched that mathematics, for example, the fractal dimensional
linear algebra, and physics may be developed to fractal and the complex
dimension extended from fractal. From this the fractal relativity is discussed,
which connects with self-similarity Universe and the extensive quantum theory.
The space dimension has been extended from real number to superreal and complex
number. Combining the quaternion, etc., the high dimensional time is
introduced. Such the vector and irreversibility of time are derived. Then the
fractal dimensional time is obtained, and space and time possess completely
symmetry. It may be constructed preliminarily that the higher dimensional,
fractal, complex and supercomplex space-time theory covers all. We propose a
generalized Noether theorem, and irreversibility of time should correspond to
non-conservation of a certain quantity. Resumed reversibility of time and
possible decrease of entropy are discussed. Finally, we obtain the quantitative
relations between energy-mass and space-time, which is consistent with the
space-time uncertainty relation in string theory.


title: Model theoretic connected components of groups

abstract:
  We give a general exposition of model theoretic connected components of
groups. We show that if a group G has NIP, then there exists the smallest
invariant (over some small set) subgroup of G with bounded index (Theorem 5.3).
This result extends theorem of Shelah. We consider also in this context the
multiplicative and the additive groups of some rings (including infite fields).


title: Search for B -> h(*) nu nubar Decays at Belle

abstract:
  We present a search for the rare decays B -> h(*) nu nubar, where h(*) stands
for a light meson. A data sample of 535 million BBbar pairs collected with the
Belle detector at the KEKB e+e- collider is used. Signal candidates are
required to have an accompanying B meson fully reconstructed in a hadronic mode
and signal-side particles consistent with a single h(*) meson. No significant
signal is observed and we set upper limits on the branching fractions at 90%
confidence level. The limits on B0 -> K*0 nu nubar and B+ -> K+ nu nubar decays
are more stringent than the previous constraints, while the first searches for
B0 -> K0 nu nubar, pi0 nu nubar, rho0 nu nubar, phi nu nubar and B+ -> K*+ nu
nubar, rho+ nu nubar are reported.


title:
Manifestation of nonequilibrium initial conditions in molecular
  rotation: the generalized J-diffusion model

abstract:
  In order to adequately describe molecular rotation far from equilibrium, we
have generalized the J-diffusion model by allowing the rotational relaxation
rate to be angular momentum dependent. The calculated nonequilibrium rotational
correlation functions (CFs) are shown to decay much slower than their
equilibrium counterparts, and orientational CFs of hot molecules exhibit
coherent behavior, which persists for several rotational periods. As distinct
from the results of standard theories, rotational and orientational CFs are
found to dependent strongly on the nonequilibrium preparation of the molecular
ensemble. We predict the Arrhenius energy dependence of rotational relaxation
times and violation of the Hubbard relations for orientational relaxation
times. The standard and generalized J-diffusion models are shown to be almost
indistinguishable under equilibrium conditions. Far from equilibrium, their
predictions may differ dramatically.


title: Weak localisation in graphene flakes

abstract:
  We show that the manifestation of quantum interference in graphene is very
different from that in conventional two-dimensional systems. Due to the chiral
nature of charge carriers, it is sensitive not only to inelastic,
phase-breaking scattering, but also to a number of elastic scattering
processes. We study weak localization in different samples and at different
carrier densities, including the Dirac region, and find the characteristic
rates that determine it. We show how the shape and quality of graphene flakes
affect the values of the elastic and inelastic rates and discuss their physical
origin.


title: Soliton turbulences in the complex Ginzburg-Landau equation

abstract:
  We study spatio-temporal chaos in the complex Ginzburg-Landau equation in
parameter regions of weak amplification and viscosity. Turbulent states
involving many soliton-like pulses appear in the parameter range, because the
complex Ginzburg-Landau equation is close to the nonlinear Schr\"odinger
equation. We find that the distributions of amplitude and wavenumber of pulses
depend only on the ratio of the two parameters of the amplification and the
viscosity. This implies that a one-parameter family of soliton turbulence
states characterized by different distributions of the soliton parameters
exists continuously around the completely integrable system.


title: Mott metal-insulator transition in the Hubbard model

abstract:
  The Hubbard model in the strong-coupling regime is mainly studied by
Kondo-lattice theory or 1/d expansion theory, with d the spatial
dimensionality. In two dimensions and higher, the ground state within the
Hilbert subspace with no order parameter is a normal Fermi liquid except for
n=1 and U/W=+infinity, with n the electron density per unit cell, U the on-site
repulsion, and W the bandwidth; the cooperation between the Kondo effect, which
favors a local singlet on each unit cell, and a resonating-valence-bond effect,
which favors a local singlet on each pair of nearest-neighbor unit cells,
stabilizes the Fermi liquid, whose ground state is a singlet as a whole, in the
strong-coupling regime. In the whole Hilbert space with no restriction, the
normal Fermi liquid is unstable at least against a magnetic or superconducting
state. This analysis confirms an early Fermi-liquid theory of high-temperature
superconductivity, F. J. Ohkawa, Jpn. J. Appl. Phys. 26, L652 (1987). The
ground state for n=1 and U/W=+infinity is a Mott insulator. Actual
metal-insulator transitions cannot be explained within the Hubbard model. In
order to explain them, the electron-phonon interaction, multi-band or
multi-orbital effects, and effects of disorder should be considered beyond the
Hubbard model. The crossover between local-moment magnetism and
itinerant-electron magnetism corresponds to that between a localized spin and a
normal Fermi liquid in the Kondo effect and it is simply a Mott metal-insulator
crossover.


title: On semiparametric regression with O'Sullivan penalised splines

abstract:
  This is an expos\'e on the use of O'Sullivan penalised splines in
contemporary semiparametric regression, including mixed model and Bayesian
formulations. O'Sullivan penalised splines are similar to P-splines, but have
an advantage of being a direct generalisation of smoothing splines. Exact
expressions for the O'Sullivan penalty matrix are obtained. Comparisons between
the two reveals that O'Sullivan penalised splines more closely mimic the
natural boundary behaviour of smoothing splines. Implementation in modern
computing environments such as Matlab, R and BUGS is discussed.


title: Dimension Data, Local and Global Conjugacy in Reductive Groups

abstract:
  Let G be a connected reductive group (over $\mathbb{C}$) and H a connected
semisimple subgroup. The dimension data of H (realative to its given embedding
in G) is the collection of the numbers $\{{\rm dim} V^{H}\}$, where V runs over
all the finite dimensional representations of G. By a Theorem of Larsen-Pink
([L-P90]), the dimension data determines H up to isomorphism, and if G = GL (n)
even up to conjugacy. Professor Langlands raised the question as to whether the
strong (conjugacy) result holds for arbitrary G. In this paper We provided the
following (negative) answer: If H is simple of type A_{4 n}, $B_{2 n} (n \geq
2)$, $C_{2 n} (n \geq 2)$, E_{6}, E_{8}, F_{4} and G_{2}, then there exist (for
suitable $N$) pairs of embeddings i and i' of H into $G = SO (2 N)$ such that
there image i (H) and i' (H) have the same dimension data but are not
conjugate. In fact we have shown that i (H) and i' (H) are \emph{locally
conjugate}, i.e., that i (h) and i' (h) are conjugate in G for all semisimple
$h \in H$. If one assumes functoriality, this result will furnish the failure
of multiplicity one for automorphic forms on such G over global fields. Such
things are known in the disconnected cases, especially when H is finite, as in
the works of Blasius [Blasius94] for $SL (n) (n \geq 3)$ and
Gan-Gurevich-Jiang2002 ([Gan]) for G_{2}.


title: Laser Pulse Amplification with Bose-Einstein Condensates

abstract: This paper has been withdrawn by the author.


title: Buchdahl-like transformations for perfect fluid spheres

abstract:
  In two previous articles [Phys. Rev. D71 (2005) 124307 (gr-qc/0503007), and
gr-qc/0607001] we have discussed several "algorithmic" techniques that permit
one (in a purely mechanical way) to generate large classes of general
relativistic static perfect fluid spheres. Working in Schwarzschild curvature
coordinates, we used these algorithmic ideas to prove several
"solution-generating theorems" of varying levels of complexity. In the present
article we consider the situation in other coordinate systems: In particular,
in general diagonal coordinates we shall generalize our previous theorems, in
isotropic coordinates we shall encounter a variant of the so-called "Buchdahl
transformation", while in other coordinate systems (such as Gaussian polar
coordinates, Synge isothermal coordinates, and Buchdahl coordinates) we shall
find a number of more complex "Buchdahl-like transformations" and
"solution-generating theorems" that may be used to investigate and classify the
general relativistic static perfect fluid sphere. Finally by returning to
general diagonal coordinates and making a suitable ansatz for the functional
form of the metric components we place the Buchdahl transformation in its most
general possible setting.


title: Tsirelson like operator spaces

abstract:
  We construct nontrivial examples of weak-$C_p$ ($1\leq p \leq \infty$)
operator spaces with the local operator space structure very close to $C_p =
[R, C]_{\frac{1}{p}}$. These examples are non-homogeneous Hilbertian operator
spaces, and their constructions are similar to that of 2-convexified
Tsirelson's space by W. B. Johnson.


title: Particle Refraction, Reflection and Channeling by Laser Beams

abstract:
  It is shown that the charged particles are refracted and reflected on the
boundary of field free and laser field regions in vacuum. Simple and
transparent estimates are given which show the possibility of channeling of
charged and neutral particles having polarizability by strong electromagnetic
field of certain laser bunches just as by the field of orientated crystalline
planes and axes. These processes can be applied for production of femtosecond
sliced electron bunches, for measurement their length and particle distribution
as well as for production of femtosecond X-ray and terahertz pulses using
transition, channeling and other types of radiation.


title:
Experimental demonstration of continuous variable purification of
  squeezed states

abstract:
  We report on the first experimental demonstration of purification of
nonclassical continuous variable states. The protocol uses two copies of
phase-diffused states overlapped on a beam splitter and provides Gaussified,
less mixed states with the degree of squeezing improved. The protocol uses only
linear optical devices such as beam splitters and homodyne detection, thereby
proving these optical elements can be used for successful purification of this
type of state decoherence which occurs in optical transmission channels.


title:
Doping Dependence of Low-energy Spin Fluctuations in Electron-Doped
  Cuprates Pr$_{1-x}$LaCe$_x$CuO$_4$

abstract:
  The low-energy spin fluctuations in the electron-doped
Pr$_{1-x}$LaCe$_{x}$CuO$_{4}$ have been investigated over a wide concentration
range of 0.07$\leqslant$ $x$ $\leqslant$0.18 that spans from the
antiferromagnetic and non-superconducting phase to the superconducting and
paramagnetic phase. For all concentrations considered, the low energy
excitations exhibit commensurate peaks centered at the ($\pi$, $\pi$) position.
Our data show that the characteristics of the excitations, such as the
relaxation rate and the overall spectral weight, change rapidly when the system
enters the superconducting phase. The spin stiffness also decreases with
increasing $x$ in the superconducting phase and is extrapolated to zero at $x$
= 0.21 when the superconductivity disappears. These indicate a close relation
between the spin fluctuations and the superconductivity in the electron-doped
system.


title:
Cooperative enhancement of channeling of emission from atoms into a
  nanofiber

abstract:
  We show the possibility of directional \textit{guided} superradiance from a
string of atoms separated by one or several wavelengths in a line parallel to
the axis of a nanofiber. We find that the rate and efficiency of channeling of
emission from the atoms into the fiber are cooperatively enhanced by the guided
modes.


title: A Maurey type result for operator spaces

abstract:
  The little Grothendieck theorem for Banach spaces says that every bounded
linear operator between $C(K)$ and $\ell_2$ is 2-summing. However, it is shown
in \cite{J05} that the operator space analogue fails. Not every cb-map $v : \K
\to OH$ is completely 2-summing. In this paper, we show an operator space
analogue of Maurey's theorem : Every cb-map $v : \K \to OH$ is $(q,cb)$-summing
for any $q>2$ and hence admits a factorization $\|v(x)\| \leq c(q) \|v\|_{cb}
\|axb\|_q$ with $a,b$ in the unit ball of the Schatten class $S_{2q}$.


title:
Anomalous giant piezoresistance in AlAs 2D electrons with anti-dot
  lattices

abstract:
  An AlAs two-dimensional electron system patterned with an anti-dot lattice
exhibits a giant piezoresistance (GPR) effect, with a sign opposite to the
piezoresistance observed in the unpatterned region. We trace the origin of this
anomalous GPR to the non-uniform strain in the anti-dot lattice and the
exclusion of electrons occupying the two conduction band valleys from different
regions of the sample. This is analogous to the well-known giant
magnetoresistance (GMR) effect, with valley playing the role of spin and strain
the role of magnetic field.


title:
Non-degeneracy of Wiener functionals arising from rough differential
  equations

abstract:
  Malliavin Calculus is about Sobolev-type regularity of functionals on Wiener
space, the main example being the Ito map obtained by solving stochastic
differential equations. Rough path analysis is about strong regularity of
solution to (possibly stochastic) differential equations. We combine arguments
of both theories and discuss existence of a density for solutions to stochastic
differential equations driven by a general class of non-degenerate Gaussian
processes, including processes with sample path regularity worse than Brownian
motion.


title: Balanced Cayley graphs and balanced planar graphs

abstract:
  A balanced graph is a bipartite graph with no induced circuit of length 2 mod
4. These graphs arise in linear programming. We focus on graph-algebraic
properties of balanced graphs to prove a complete classification of balanced
Cayley graphs on abelian groups. Moreover, in Section 5 of this paper, we prove
that there is no cubic balanced planar graph. Finally, some remarkable
conjectures for balanced regular graphs are also presented.


title: Historical pseudo simplified solution of the Dirac-Coulomb equation

abstract:
  One of the simplified solutions of the Dirac equations with the pure Coulomb
potential given in a paper published in 1985 is pseudo. The original paper
solved the Dirac equations by introducing a transformation of functions with
two strange parameters a and b to transform the original system of the
first-order differential equations into two uncoupled differential equations of
second order. However, not only the given eigenvalues sets violate the
uniqueness of solution but also the said second-order equations are not any
necessarily mathematical deduction. In order to determine the introduced
parameters, formally, the author actually introduced some self-contradictory
mathematical formulas, such as sinh(theta)=2ab, cosh(theta)=a^2+b^2,
tanh(theta)=-Z(alpha)/k, a^2-b^2=1, b=sinh((theta/2), a=cosh((theta/2). But one
has not known the value of the parameters a and b all the while, whereas the
parameters were insensibly deleted in the given second-order Dirac-Coulomb
equation last. One cannot recover any result given in the paper by making
corresponding correctly mathematical calculations.


title: Nodal curves with general moduli on K3 surfaces

abstract:
  We investigate the modular properties of nodal curves on a low genus K3
surface. We prove that a general genus g curve C is the normalization of a
d-nodal curve X sitting on a primitively polarized K3 surface S of degree 2p-2,
for p any integer between 3 and 11 and g = p - d between 2 and p.
  The proof is based on a local deformation-theoretic analysis of the map from
the stack of pairs (S,X) to the moduli space of curves of genus g that
associates to X the isomorphism class [C] of its normalization.


title: Distinguishing Active Galactic Nuclei and Star Formation

abstract:
  Using the large emission line galaxy sample from the Sloan Digital Sky Survey
we show that Star forming galaxies, Seyferts, and low-ionization nuclear
emission-line regions (LINERs) form clearly separated branches on the standard
optical diagnostic diagrams. We derive a new empirical classification scheme
which cleanly separates these emission-line galaxies, using strong optical
emission lines. Using this classification we identify a few distinguishing host
galaxy properties of each class, which, along with the emission line analysis,
suggest continuous evolution from one class to another. As a final note, we
introduce models of both Starforming galaxies and AGN narrow line regions which
can explain the distribution of galaxies on standard emission line ratio
diagrams, and possibly suggest new diagnostics across the emission spectrum.


title:
Direct Extension of Density-Matrix Renormalization Group toward
  2-Dimensional Quantum Lattice Systems: Studies for Parallel Algorithm,
  Accuracy, and Performance

abstract:
  We parallelize density-matrix renormalization group to directly extend it to
2-dimensional ($n$-leg) quantum lattice models. The parallelization is made
mainly on the exact diagonalization for the superblock Hamiltonian since the
part requires an enormous memory space as the leg number $n$ increases. The
superblock Hamiltonian is divided into three parts, and the correspondent
superblock vector is transformed into a matrix, whose elements are uniformly
distributed into processors. The parallel efficiency shows a high rate as the
number of the states kept $m$ increases, and the eigenvalue converges within
only a few sweeps in contrast to the multichain algorithm.


title:
Temperature-dependent photoemission spectral weight transfer and
  chemical potential shift in Pr$_{1-x}$Ca$_x$MnO$_3$ : Implications for charge
  density modulation

abstract:
  We have studied the temperature dependence of the photoemission spectra of
Pr$_{1-x}$Ca$_x$MnO$_3$ (PCMO) with $x=0.25$, 0.3 and 0.5. For $x=0.3$ and 0.5,
we observed a gap in the low-temperature CE-type charge-ordered (CO) phase and
a pseudogap with a finite intensity at the Fermi level ($E_F$) in the
high-temperature paramagnetic insulating (PI) phase. Within the CO phase, the
spectral intensity near $E_F$ gradually increased with temperature. These
observations are consistent with the results of Monte Carlo simulations on a
model including charge ordering and ferromagnetic fluctuations [H. Aliaga {\it
et al.} Phys. Rev. B {\bf 68}, 104405 (2003)]. For $x=0.25$, on the other hand,
little temperature dependence was observed within the low-temperature
ferromagnetic insulating (FI) phase and the intensity at $E_F$ remained low in
the high-temperature PI phase. We attribute the difference in the temperature
dependence near $E_F$ between the CO and FI phases to the different correlation
lengths of orbital order between both phases. Furthermore, we observed a
chemical potential shift with temperature due to the opening of the gap in the
FI and CO phases. The doping dependent chemical potential shift was recovered
at low temperatures, corresponding to the disappearance of the doping dependent
change of the modulation wave vector. Spectral weight transfer with hole
concentration was clearly observed at high temperatures but was suppressed at
low temperatures. We attribute this observation to the fixed periodicity with
hole doping in PCMO at low temperatures.


title: Jet Cross-Sections and alphas in DIS at HERA

abstract:
  Measurements of inclusive-jet and dijet cross-sections in high-Q2
deep-inelastic scattering are presented together with a short overview of
extractions of the strong coupling parameter alpha_S from jets. The data
samples used were collected with the ZEUS detector at HERA-1 and HERA-2. The
measured distributions are compared to QCD calculations in next-to-leading
order which describe the data very well. The various determinations of alpha_S
give a consistent picture, have competitive uncertainties and clearly
demonstrate the running of the coupling predicted by QCD.


title: AGN dust tori at low and high luminosities

abstract:
  A cornerstone of AGN unification schemes is the presence of an optically and
geometrically thick dust torus. It provides the obscuration to explain the
difference between type 1 and type 2 AGN. We investigate the influence of the
dust distribution on the Eddington limit of the torus. For smooth dust
distributions, the Eddingtion limit on the dust alone is 5 orders of magnitudes
below the limit for electron scattering in a fully ionized plasma, while a
clumpy dust torus has an Eddington limit slightly larger than the classical
one. We study the behaviour of a clumpy torus at low and high AGN luminosities.
For low luminosities of the order of ~10^42 erg/s, the torus changes its
characteristics and obscuration becomes insufficient. In the high luminosity
regime, the clumpy torus can show a behaviour which is consistent with the
"receding torus" picture. The derived luminosity-dependent fraction of
type-2-objects agrees with recent observational results. Moreover, the
luminosity-dependent covering factor in a clumpy torus may explain the presence
of broad-line AGN with high column densities in X-rays.


title: Last multipliers for multivectors with applications to Poisson geometry

abstract:
  The theory of the last multipliers as solutions of the Liouville's transport
equation, previously developed for vector fields, is extended here to general
multivectors. Characterizations in terms of Witten and Marsden differentials
are reobtained as well as the algebraic structure of the set of multivectors
with a common last multiplier, namely Gerstenhaber algebra. Applications to
Poisson bivectors are presented by obtaining that last multipliers count for
''how far away'' is a Poisson structure from being exact with respect to a
given volume form. The notion of exact Poisson cohomology for an unimodular
Poisson structure on $IR^{n}$ is introduced.


title:
Coherent control of vacuum squeezing in the Gravitational-Wave Detection
  Band

abstract:
  We propose and demonstrate a coherent control scheme for stable phase locking
of squeezed vacuum fields. We focus on sideband fields at frequencies from 10Hz
to 10kHz which is a frequency regime of particular interest in gravitational
wave detection and for which conventional control schemes have failed so far. A
vacuum field with broadband squeezing covering this entire band was produced
using optical parametric oscillation and characterized with balanced homodyne
detection. The system was stably controlled over long periods utilizing two
coherent but frequency shifted control fields. In order to demonstrate the
performance of our setup the squeezed field was used for a nonclassical
sensitivity improvement of a Michelson interferometer at audio frequencies.


title:
Algorithmic Problems in Amalgams of Finite Groups: Conjugacy and
  Intersection Properties

abstract:
  Geometric methods proposed by Stallings for treating finitely generated
subgroups of free groups were successfully used to solve a wide collection of
decision problems for free groups and their subgroups.
  In the present paper we employ the generalized Stallings' methods, developed
by the author, to solve various algorithmic problems concerning finitely
generated subgroups of amalgams of finite groups.


title:
Demonstration of a squeezed light enhanced power- and signal-recycled
  Michelson interferometer

abstract:
  We report on the experimental combination of three advanced interferometer
techniques for gravitational wave detection, namely power-recycling, detuned
signal-recycling and squeezed field injection. For the first time we
experimentally prove the compatibility of especially the latter two. To achieve
a broadband non-classical sensitivity improvement we applied a filter cavity
for compensation of quadrature rotation. Signal to noise ratio was improved by
up to 2.8 dB beyond the coherent state's shot noise. The complete set-up was
stably locked for arbitrary times and characterized by injected single-sideband
modulation fields.


title: The random Tukey depth

abstract:
  The computation of the Tukey depth, also called halfspace depth, is very
demanding, even in low dimensional spaces, because it requires the
consideration of all possible one-dimensional projections. In this paper we
propose a random depth which approximates the Tukey depth. It only takes into
account a finite number of one-dimensional projections which are chosen at
random. Thus, this random depth requires a very small computation time even in
high dimensional spaces. Moreover, it is easily extended to cover the
functional framework.
  We present some simulations indicating how many projections should be
considered depending on the sample size and on the dimension of the sample
space. We also compare this depth with some others proposed in the literature.
It is noteworthy that the random depth, based on a very low number of
projections, obtains results very similar to those obtained with other depths.


title: Hawking radiation of a vector field and gravitational anomalies

abstract:
  Recently, the relation between Hawking radiation and gravitational anomalies
has been used to estimate the flux of Hawking radiation for a large class of
black objects. In this paper, we extend the formalism, originally proposed by
Robinson and Wilczek, to the Hawking radiation of vector particles (photons).
It is explicitly shown, with Hamiltonian formalism, that the theory of an
electromagnetic field on d-dimensional spherical black holes reduces to one of
an infinite number of massive complex scalar fields on 2-dimensional spacetime,
for which the usual anomaly-cancellation method is available. It is found that
the total energy emitted from the horizon for the electromagnetic field is just
(d-2) times as that for a scalar field. The results support the picture that
Hawking radiation can be regarded as an anomaly eliminator on horizons.
Possible extensions and applications of the analysis are discussed.


title:
The James Clerk Maxwell Telescope Legacy Survey of Nearby Star-forming
  Regions in the Gould Belt

abstract:
  This paper describes a James Clerk Maxwell Telescope (JCMT) legacy survey
that has been awarded roughly 500 hrs of observing time to be carried out from
2007 to 2009. In this survey we will map with SCUBA-2 (Submillimetre Common
User Bolometer Array 2) almost all of the well-known low-mass and
intermediate-mass star-forming regions within 0.5 kpc that are accessible from
the JCMT. Most of these locations are associated with the Gould Belt. From
these observations we will produce a flux-limited snapshot of star formation
near the Sun, providing a legacy of images, as well as point-source and
extended-source catalogues, over almost 700 square degrees of sky. The
resulting images will yield the first catalogue of prestellar and protostellar
sources selected by submillimetre continuum emission, and should increase the
number of known sources by more than an order of magnitude. We will also obtain
CO maps with the array receiver HARP (Heterodyne Array Receiver Programme), in
three CO isotopologues, of a large typical sample of prestellar and
protostellar sources. We will then map the brightest hundred sources with the
SCUBA-2 polarimeter (POL-2), producing the first statistically significant set
of polarization maps in the submillimetre. The images and source catalogues
will be a powerful reference set for astronomers, providing a detailed legacy
archive for future telescopes, including ALMA, Herschel and JWST.


title:
Elementary constructive approach to the higher-rank numerical ranges of
  unitary matrices

abstract:
  Some problems of the quantum error-correcting codes theory can be reduced to
the investigation of the higher-rank numerical ranges of the operators related
to the error operators. We constructively verify a conjecture on the structure
of higher-rank numerical range for unitary matrices.


title: Quantum Capacitance Spectroscopy of Single Nanotube Molecules

abstract: some errors in equations


title:
Non-Markovian quantum dynamics and the method of correlated projection
  superoperators

abstract:
  Efficient methods for the description of the non-Markovian dynamics of open
systems play an important role in many proposed applications of quantum
mechanics. Here we review some of the most important tools that are based on
the projection operator techniques of nonequilibrium statistical mechanics. The
standard product-state projection is generalized to a new class of correlated
projection superoperators that allow the treatment of strong memory effects,
and lead to a non-Markovian generalization of the Lindblad equation.


title: Ore extensions satisfying a polynomial identity

abstract:
  Necessary and sufficient conditions for an Ore extension $S=R[x;\si,\de]$ to
be a {\rm PI} ring are given in the case $\si$ is an injective endomorphism of
a semiprime ring $R$ satisfying the {\rm ACC} on annihilators. Also, for an
arbitrary endomorphism $\tau$ of $R$, a characterization of Ore extensions
$R[x;\tau]$ which are {\rm PI} rings is given, provided the coefficient ring
$R$ is noetherian.


title:
Reply to comment on `Measurement of Effective Temperatures in an Aging
  Colloidal Glass'

abstract: Reply to comment by Jop et al. (arXiv:0705.1421v1).


title: Determination of Delta G/G from Open Charm events at COMPASS

abstract:
  One of the main goals of the COMPASS experiment at CERN is the determination
of the gluon polarisation in the nucleon, Delta G/G. It is determined from spin
asymmetries in the scattering of 160 GeV/c polarised muons on a polarised LiD
target. The gluon polarisation is accessed by the selection of photon-gluon
fusion (PGF) events. A very clean selection of PGF events can be obtained with
charmed mesons in the final state. Their detection is based on the
reconstruction of D* and D0 mesons in the COMPASS spectrometer. The analysis
method for the first measurement of Delta G/G from the open charm channel is
described and the result from COMPASS for the 2002-2004 data taking period is
presented.


title: Forward-Backward (F-B) rapidity correlations in a two step scenario

abstract:
  We present a prediction for Forward-Backward rapidity correlations at the LHC
from a two step scenario model for particle production


title:
Resolving the innermost parsec of Centaurus A at mid-infrared
  wavelengths

abstract:
  We report the results of interferometric observations of Centaurus A with the
MID-infrared Interferometer (MIDI) at ESO's VLTI telescope array. The
interferometric measurements are spectrally resolved (R = 30) in the wavelength
range 8 to 13 micron. Their spatial resolution reaches 15 mas at the shortest
wavelengths. Supplementary observations were obtained in the near-infrared with
the adaptive optics instrument NACO, and at mm wavelengths with SEST and JCMT.
We find that he mid-infrared emission from the core of Centaurus A is dominated
by an unresolved point source (<10 mas). Observations with baselines orientated
perpendicular to the radio jet reveal an extended component which can be
interpreted as a geometrically thin, dusty disk, the axis of which is aligned
with the radio jet. Its diameter is about 0.6 pc. We argue, that the unresolved
emission is dominated by a synchrotron source. Its overall spectrum is
characterized by a \nu^{-0.36} power-law which cuts off exponentially towards
high frequencies at 8x10^{13} Hz and becomes optically thick at \nu < 45 GHz.
Based on a Synchrotron Self Compton (SSC) interpretation for the gamma-ray
emission, we find a magnetic field strength of 26 microTesla and a maximum
energy of relativistic electrons of \gamma_c = E_c/m_e c^2 = 8500. Near
\gamma_c, the acceleration time scale is 4 days, in good agreement with the
fastest X-ray variations. Our SSC model argues for an upper limit for the bulk
Lorentz factor < 2.5, at variance with the concept of a "mis-directed BL Lac
object". We estimate a thermal core luminosity of 1.3x10^{34} W, intermediate
between the values for highly efficiently accreting AGN (e.g. Seyfert galaxies)
and those of typical FR I radio galaxies.


title:
Multiplicity distributions in rapidity for Pb-Pb and p-Pb central
  collisions from a simple model

abstract:
  We present predictions, from a simple model, for multiplicity distributions
in rapidity for Pb-Pb and p-Pb central collisions at the LHC.


title: Optimal laser-control of double quantum dots

abstract:
  Coherent single-electron control in a realistic semiconductor double quantum
dot is studied theoretically. Using optimal-control theory we show that the
energy spectrum of a two-dimensional double quantum dot has a fully
controllable transition line. We find that optimized picosecond laser pulses
generate population transfer at significantly higher fidelities (>0.99) than
conventional sinusoidal pulses. Finally we design a robust and fast charge
switch driven by optimal pulses that are within reach of terahertz laser
technology.


title:
Manipulating the magnetic structure by electric fields in multiferroic
  ErMn2O5

abstract:
  Based on measurements of soft x-ray magnetic diffraction under in-situ
applied electric field, wereport on significantly manipulation and exciting of
commensurate magnetic order in multiferroic ErMn2O5. The induced magnetic
scattering intensity arises at the commensurate magnetic Bragg position whereas
the initial magnetic signal almost persists. We demonstrate the possibility to
imprint a magnetic response function in ErMn2O5 by applying electric field.


title:
Location and Spectral Estimation of Weak Wave Packets on Noise
  Background

abstract:
  The method of location and spectral estimation of weak signals on a noise
background is being considered. The method is based on the optimized on order
and noise dispersion autoregressive model of a sought signal. A new approach of
model order determination is being offered. Available estimation of the noise
dispersion is close to the real one. The optimized model allows to define
function of empirical data spectral and dynamic features changes. The analysis
of the signal as dynamic invariant in respect of the linear shift
transformation yields the function of model consistency. Use of these both
functions enables to detect short-time and nonstationary wave packets at signal
to noise ratio as from -20 dB and above.


title: Predictions for Quarkonia Dissociation

abstract:
  We predict the upper bound on the dissociation temperatures of different
quarkonium states.


title:
Bernstein Type Results for Lagrangian Graphs with Partially Harmonic
  Gauss Map

abstract:
  We establish Bernstein Theorems for Lagrangian graphs which are Hamiltonian
minimal or have conformal Maslov form. Some known results of minimal
(Lagrangian) submanifolds are generalized.


title: Squeezed-field injection for gravitational wave interferometers

abstract:
  In a recent table-top experiment we demonstrated the compatibility of three
advanced interferometer techniques for gravitational wave detection, namely
power-recycling, detuned signal-recycling and squeezed field injection. The
interferometer's signal to noise ratio was improved by up to 2.8 dB beyond the
coherent state's shot-noise. This value was mainly limited by optical losses on
the squeezed field. We present a detailed analysis of the optical losses of in
our experiment and provide an estimation of the possible nonclassical
performance of a future squeezed field enhanced GEO600 detector.


title:
Infimum of the exponential volume growth and the bottom of the essential
  spectrum of the Laplacian

abstract:
  The purpose of this paper is to point out that `supremum' in two inequalities
of Brooks should be replaced with `infimum'.
  The results of this paper are already known by Professor Higuci. Hence, I
want to delete this paper from this preprint server.


title: Energy-Momentum tensor on foliations

abstract:
  In this paper, we give a new lower bound for the eigenvalues of the Dirac
operator on a compact spin manifold. This estimate is motivated by the fact
that in its limiting case a skew-symmetric tensor (see Equation \eqref{eq:16})
appears that can be identified geometrically with the O'Neill tensor of a
Riemannian flow, carrying a transversal parallel spinor. The Heisenberg group
which is a fibration over the torus is an example of this case. Sasakian
manifolds are also considered as particular examples of Riemannian flows.
Finally, we characterize the 3-dimensional case by a solution of the Dirac
equation


title:
Constraints on Unparticle Interactions from Invisible Decays of Z,
  Quarkonia and Neutrinos

abstract:
  Unparticles ($\U$) interact weakly with particles. The direct signature of
unparticles will be in the form of missing energy. We study constraints on
unparticle interactions using totally invisible decay modes of $Z$, vector
quarkonia $V$ and neutrinos. The constraints on the unparticle interaction
scale $\Lambda_\U$ are very sensitive to the dimension $d_\U$ of the
unparticles. From invisible $Z$ and $V$ decays, we find that with $d_\U$ close
to 1 for vector $\U$, the unparticle scale $\Lambda_\U$ can be more than $10^4$
TeV, and for $d_\U$ around 2, the scale can be lower than one TeV. From
invisible neutrino decays, we find that if $d_\U$ is close to 3/2, the scale
can be more than the Planck mass, but with $d_\U$ around 2 the scale can be as
low as a few hundred GeV. We also study the possibility of using $V (Z)\to
\gamma + \U$ to constrain unparticle interactions, and find that present data
give weak constraints.


title:
Is there a need and another way to measure the Cosmic Microwave
  Background temperature more accurately?

abstract:
  The recombination history of the Universe depends exponentially on the
temperature, T_0, of the cosmic microwave background. Therefore tiny changes of
T_0 are expected to lead to significant changes in the free electron fraction.
Here we show that even the current 1sigma-uncertainty in the value of T_0
results in more than half a percent ambiguity in the ionization history, and
more than 0.1% uncertainty in the TT and EE power spectra at small angular
scales. We discuss how the value of T_0 affects the highly redshifted
cosmological hydrogen recombination spectrum and demonstrate that T_0 could, in
principle, be measured by looking at the low frequency distortions of the
cosmic microwave background spectrum. For this no absolute measurements are
necessary, but sensitivities on the level of ~30nK are required to extract the
quasi-periodic frequency-dependent signal with typical Delta nu/nu~0.1 coming
from cosmological recombination. We also briefly mention the possibility of
obtaining additional information on the specific entropy of the Universe, and
other cosmological parameters.


title: Statistical Mechanics of the Hyper Vertex Cover Problem

abstract:
  We introduce and study a new optimization problem called Hyper Vertex Cover.
This problem is a generalization of the standard vertex cover to hypergraphs:
one seeks a configuration of particles with minimal density such that every
hyperedge of the hypergraph contains at least one particle. It can also be used
in important practical tasks, such as the Group Testing procedures where one
wants to detect defective items in a large group by pool testing. Using a
Statistical Mechanics approach based on the cavity method, we study the phase
diagram of the HVC problem, in the case of random regualr hypergraphs.
Depending on the values of the variables and tests degrees different situations
can occur: The HVC problem can be either in a replica symmetric phase, or in a
one-step replica symmetry breaking one. In these two cases, we give explicit
results on the minimal density of particles, and the structure of the phase
space. These problems are thus in some sense simpler than the original vertex
cover problem, where the need for a full replica symmetry breaking has
prevented the derivation of exact results so far. Finally, we show that
decimation procedures based on the belief propagation and the survey
propagation algorithms provide very efficient strategies to solve large
individual instances of the hyper vertex cover problem.


title:
Constraints on time variation of fine structure constant from WMAP-3yr
  data

abstract:
  This paper presents the constraints on the time variation of the fine
structure constant at recombination relative to its present value, Delta_alpha
= (alpha_rec-alpha_0) / alpha_0, obtained from the analysis of the WMAP-3yr
Cosmic Microwave Background (CMB) data, with an additional prior on the Hubble
expansion rate from HST Hubble Key Project. I found out that -0.039 <
Delta_alpha < 0.010 at 95% C.L., which brings a 30% improvement to the previous
limits from WMAP-1yr data. The corresponding recombination redshift, 1012 <
z_rec < 1115, shows a delayed recombination epoch compared with the results
from WMAP-1yr data.


title: Category of Noncommutative CW Complexes

abstract:
  We expose the notion of noncommutative CW (NCCW) complexes, define
noncommutative (NC) mapping cylinder and NC mapping cone, and prove the
noncommutative Approximation Theorem. The long exact homotopy sequences
associated with arbitrary morphisms are also deduced.


title:
Statistical field theory for a multicomponent fluid: The collective
  variables approach

abstract:
  Using the collective variables (CV) method the basic relations of statistical
field theory of a multicomponent non-homogeneous fluids are reconsidered. The
corresponding CV action depends on two sets of scalar fields - fields
$\rho_{\alpha}$ connected to the local density fluctuations of the $\alpha$th
species of particles and fields $\omega_{\alpha}$ conjugated to
$\rho_{\alpha}$. The explicit expressions for the CV field correlations and
their relation to the density correlation functions are found. The perturbation
theory is formulated and a mean field level (MF) of the theory is considered in
detail.


title:
High spatial resolution mid-infrared observations of the low-mass young
  star TW Hya

abstract:
  We want to improve knowledge of the structure of the inner few AU of the
circumstellar disk around the nearby T Tauri star TW Hya. Earlier studies have
suggested the existence of a large inner hole, possibly caused by interactions
with a growing protoplanet. We used interferometric observations in the N-band
obtained with the MIDI instrument on the Very Large Telescope Interferometer,
together with 10 micron spectra recorded by the infrared satellite Spitzer. The
fact that we were able to determine N-band correlated fluxes and visibilities
for this comparatively faint source shows that MIR interferometry can be
applied to a large number of low-mass young stellar objects.
  The MIR spectra obtained with Spitzer reveal emission lines from HI (6-5), HI
(7-6), and [Ne II] and show that over 90% of the dust we see in this wavelength
regime is amorphous. According to the correlated flux measured with MIDI, most
of the crystalline material is in the inner, unresolved part of the disk, about
1 AU in radius. The visibilities exclude the existence of a very large (3-4 AU
radius) inner hole in the circumstellar disk of TW Hya, which was required in
earlier models. We propose instead a geometry of the inner disk where an inner
hole still exists, but at a much reduced radius, with the transition from zero
to full disk height between 0.5 and 0.8 AU, and with an optically thin
distribution of dust inside. Such a model can comply with SED and MIR
visibilities, as well as with visibility and extended emission observed in the
NIR at 2 micron. If a massive planet was the reason for this inner hole, as has
been speculated, its orbit would have to be closer to the star than 0.3 AU.
Alternatively, we may be witnessing the end of the accretion phase and an early
phase of an inward-out dispersal of the circumstellar disk.


title: Perturbation method to model enamel caries progress

abstract:
  We develop a theoretical model of the carious lesion progress caused by acids
diffusing into the tooth enamel from the dental plaque. The acids react with
static hydroxyapatite, which leads to demineralization of the enamel, and
consequently to the development of the carious lesion. The model utilizes the
diffusion-reaction equations with one static and one mobile reactant where the
reaction term is proportional to the product of concentrations of acids and of
mineral. The changes of concentrations are calculated approximately by means of
a perturbation method. The analytical approximate solutions are compared with
the numerical ones and experimental data.


title: Boundary driven zero-range processes in random media

abstract:
  The stationary states of boundary driven zero-range processes in random media
with quenched disorder are examined, and the motion of a tagged particle is
analyzed. For symmetric transition rates, also known as the random barrier
model, the stationary state is found to be trivial in absence of boundary
drive. Out of equilibrium, two further cases are distinguished according to the
tail of the disorder distribution. For strong disorder, the fugacity profiles
are found to be governed by the paths of normalized $\alpha$-stable
subordinators. The expectations of integrated functions of the tagged particle
position are calculated for three types of routes.


title: Neutrino Constraints on the Dark Matter Total Annihilation Cross Section

abstract:
  In the indirect detection of dark matter through its annihilation products,
the signals depend on the square of the dark matter density, making precise
knowledge of the distribution of dark matter in the Universe critical for
robust predictions. Many studies have focused on regions where the dark matter
density is greatest, e.g., the Galactic Center, as well as on the cosmic signal
arising from all halos in the Universe. We focus on the signal arising from the
whole Milky Way halo; this is less sensitive to uncertainties in the dark
matter distribution, and especially for flatter profiles, this halo signal is
larger than the cosmic signal. We illustrate this by considering a dark matter
model in which the principal annihilation products are neutrinos. Since
neutrinos are the least detectable Standard Model particles, a limit on their
flux conservatively bounds the dark matter total self-annihilation cross
section from above. By using the Milky Way halo signal, we show that previous
constraints using the cosmic signal can be improved on by 1-2 orders of
magnitude; dedicated experimental analyses should be able to improve both by an
additional 1-2 orders of magnitude.


title: On the non-existence of L-space surgery structure

abstract:
  We exhibit homology spheres which never yield lens spaces by any integral
Dehn surgery by using Ozsvath Szabo's contact invariant.


title:
On the divisibility of characteristic classes of non-oriented surface
  bundles

abstract:
  In this note we introduce a construction which assigns to an arbitrary
manifold bundle its fiberwise orientation covering. This is used to show that
the zeta classes of unoriented surface bundles are not divisible in the stable
range.


title:
Matter in the Bulk and its Consequences on the Brane: A Possible Source
  of Dark Energy

abstract:
  The usual brane world scenario with anti de Sitter bulk has been generalized
by considering a general form of energy momentum tensor in the bulk. The
modified Einstein equation on the brane has been constructed. Two examples have
been cited of which, the first one shows the usual brane equations when matter
in the bulk is a negative cosmological constant. In the second example, the
bulk matter is in the form of perfect fluid and as a result, an effective
perfect fluid is obtained in the brane. Also it is noted that the effect of the
dust bulk on the brane shows a dark energy behaviour and may be a possible
explanation of the dark energy from the present day observational point of
view.


title: Finsler Spinoptics

abstract:
  The objective of this article is to build up a general theory of geometrical
optics for spinning light rays in an inhomogeneous and anisotropic medium
modeled on a Finsler manifold. The prerequisites of local Finsler geometry are
reviewed together with the main properties of the Cartan connection used in
this work. Then, the principles of Finslerian spinoptics are formulated on the
grounds of previous work on Riemannian spinoptics, and relying on the generic
coadjoint orbits of the Euclidean group. A new presymplectic structure on the
indicatrix-bundle is introduced, which gives rise to a foliation that
significantly departs from that generated by the geodesic spray, and leads to a
specific anomalous velocity, due to the coupling of spin and the Cartan
curvature, and related to the optical Hall effect.


title: Gravitational waves versus black holes

abstract:
  It is argued that, in order for the gravitational field to be propagated as a
wave, it is necessary for it to satisfy a further set of field equations, in
addition to those of Einstein and Hilbert, and these equations mean there is a
preferred coordinate frame, called the Global Inertial Frame, giving rise to a
unique metric . The implication is that a true gravitational field is not
compatible with Einstein's Principle of Equivalence, which is in contradiction
with his other fundamental concept of locality. The additional field equations
ensure that gravitational collapse does not go below the Schwarzschild radius,
thereby excluding the possibility of singular solutions (black holes) of the
Einstein-Hilbert equations. Such solutions would also violate Einstein's
locality principle.


title: Eigenvalues of the transversal Dirac operator on Kahler foliations

abstract:
  In this paper, we prove Kirchberg inequalities for any kahler spin
foliations. Their limiting cases are then characterized as being transversal
minimal Einstein foliations. The key point is to introduce the transversal
kahlerian twistor operators.


title: Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations

abstract:
  In this paper, we give an optimal lower bound for the eigenvalues of the
basic Dirac operator on a quaternion-Kahler foliation. The limiting case is
characterized by the existence of quaternion-Kahler Killing spinors. We end
this paper by giving some examples.


title: RpA ratio: total shadowing due to running coupling

abstract:
  We predict that the RpA ratio at the most forward rapidities to be measured
at LHC should be strongly suppressed, close to "total shadowing'' (RpA =
A^(-1/3)), as a consequence of running coupling effects in the nonlinear QCD
evolution.


title: Resolving Extragalactic Star Clusters with HST/ACS

abstract:
  With HST, colour-magnitude diagrams (CMDs) can be obtained for young star
clusters well beyond the Local Group. Such data can help constrain cluster ages
and metallicities, and also provide a reference against which intermediate- and
high mass stellar models can be compared. Here, CMDs are presented for two
massive (>10^5 Msun) clusters and compared with Padua and Geneva isochrones.
The problem of the ratio of blue to red supergiants is also addressed.


title: Three-port beam splitters-combiners for interferometer applications

abstract:
  We derive generic phase and amplitude coupling relations for beam
splitters-combiners that couple a single port with three output ports or input
ports, respectively. We apply the coupling relations to a reflection grating
that serves as a coupler to a single-ended Fabry-Perot ring cavity. In the
impedance-matched case such an interferometer can act as an all-reflective ring
mode cleaner. It is further shown that in the highly undercoupled case almost
complete separation of carrier power and phase signal from a cavity strain can
be achieved.


title: Variable stars in the field of the old open cluster Melotte 66

abstract:
  We report the results of photometric monitoring of the Melotte 66 field in
BVI filters. Ten variables were identified with nine being new discoveries. The
sample includes eight eclipsing binaries of which four are W UMa type stars,
one star is a candidate blue straggler. All four contact binaries are likely
members of the cluster based on their estimated distances. Ten blue stars with
U-B<-0.3 were detected inside a 14.8 x 22.8 arcmin^2 field centred on the
cluster. Time series photometry for 7 of them showed no evidence for any
variability. The brightest object in the sample of blue stars is a promising
candidate for a hot subdwarf belonging to the cluster. We show that the
anomalously wide main sequence of the cluster, reported in some earlier
studies, results from a combination of two effects: variable reddening occuring
across the cluster field and the presence of a rich population of binary stars
in the cluster itself. The density profile of the cluster field is derived and
the total number of member stars with 16<V<21 or 2.8<M_{V}<7.8 is estimated
conservatively at about 1100.


title: Foam-like structure of the Universe

abstract:
  On the quantum stage spacetime had the foam-like structure. When the Universe
cools, the foam structure tempers and does not disappear. We show that effects
caused by the foamed structure mimic very well the observed Dark Matter
phenomena. Moreover, we show that in a foamed space photons undergo a chaotic
scattering and together with every discrete source of radiation we should
observe a diffuse halo. We show that the distribution of the diffuse halo of
radiation around a point-like source repeats exactly the distribution of dark
matter around the same source, i.e. the DM halos are sources of the diffuse
radiation.


title:
Model-independent dark matter annihilation bound from the diffuse gamma
  ray flux

abstract:
  An upper limit on the total annihilation cross section of dark matter (DM)
has recently been derived from the observed atmospheric neutrino background. We
show that comparable bounds are obtained for DM masses around the TeV scale by
observations of the diffuse gamma-ray flux by EGRET, because electroweak
bremsstrahlung leads to non-negligible electromagnetic branching ratios, even
if DM particles only couple to neutrinos at tree level. A better mapping and
the partial resolution of the diffuse gamma-ray background into astrophysical
sources by the GLAST satellite will improve this bound in the near future.


title: Spin-boson dynamics beyond conventional perturbation theories

abstract:
  A novel approximation scheme is proposed to describe the dynamics of the
spin-boson problem. Being nonperturbative in the coupling strength nor in the
tunneling frequency, it gives reliable results over a wide regime of
temperatures and coupling strength to the thermal environment for a large class
of bath spectral densities.
  We use a path-integral approach and start from the exact solution for the
two-level system population difference in the form of a generalized master
equation (GME). Then, we approximate inter-blip and blip-sojourns interactions
up to linear order, while retaining all intra-blip correlations to find the
kernels entering the GME in analytical form. Our approximation scheme, which we
call Weakly-Interacting Blip Approximation (WIBA), fully agrees with
conventional perturbative approximations in the tunneling matrix element
(Non-Interacting Blip Approximation) or in the system-bath coupling strength.


title:
Stochastic domination for iterated convolutions and catalytic
  majorization

abstract:
  We study how iterated convolutions of probability measures compare under
stochastic domination. We give necessary and sufficient conditions for the
existence of an integer $n$ such that $\mu^{*n}$ is stochastically dominated by
$\nu^{*n}$ for two given probability measures $\mu$ and $\nu$. As a consequence
we obtain a similar theorem on the majorization order for vectors in $\R^d$. In
particular we prove results about catalysis in quantum information theory.


title:
Footprints of the Beyond in flavor physics: Possible role of the Top Two
  Higgs Doublet Model

abstract:
  The B-factories results provide an impressive confirmation of the Standard
Model (SM) description of flavor and CP violation. Nevertheless, as more data
were accumulated, deviations in the 2.5-3.5 sigma range have emerged pointing
to the exciting possibility of new CP-odd phase(s) and flavor violating
parameters in B-decays. Primarily this seems to be the case in the time
dependent CP asymmetries in penguin dominated modes (e.g. B -> phi (eta') Ks).
  We discuss these and other deviations from the SM and, as an illustration of
possible new physics scenarios, we examine the role of the Top Two Higgs
Doublet Model. This is a simple extension of the SM obtained by adding second
Higgs doublet in which the Yukawa interactions of the two Higgs doublets are
assigned in order to naturally account for the large top-quark mass.
  Of course, many other extensions of the Standard Model could also account for
these experimental deviations. Clearly if one takes these deviations seriously
then some new particles in the 300 GeV to few TeV with associated new CP-odd
phase(s) are needed.


title: Unit distances and diameters in Euclidean spaces

abstract:
  We show that the maximum number of unit distances or of diameters in a set of
n points in d-dimensional Euclidean space is attained only by specific types of
Lenz constructions, for all d >= 4 and n sufficiently large, depending on d. As
a corollary we determine the exact maximum number of unit distances for all
even d >= 6, and the exact maximum number of diameters for all d >= 4, for all
$n$ sufficiently large, depending on d.


title:
Quantitative structural and textural assessment of laminar pyrocarbons
  through Raman spectroscopy, electron diffraction and few other techniques

abstract:
  In pyrocarbon materials, the width of the Raman D band (FWHMD) is very
sensitive to low energy structural defects (e.g., disorientations of the
graphene layers). The correlation between the two parameters, FWHMD and OA (as
derived from selected area electron diffraction: SAED), has allowed to
differentiate various pyrocarbons unambiguously. Furthermore, the optical
properties of pyrocarbons, i.e., the extinction angle, the optical phase shift
and the ordinary and extraordinary reflectance, have been accurately determined
at 550 nm by means of the extinction curves method. These results are completed
by in-plane and out-of-plane dielectric constant measurements by angular
resolved EELS. Moreover, the hybridization degree of the carbon atoms has been
assessed by the same technique. About 80% of the carbon atoms of the
pyrocarbons have a sp2 hybridization. The lack of pure sp2 carbon atoms, as
compared to graphite, might be explained by the presence of sp3-like line
defects.


title: Riemann-Christoffel flows

abstract:
  A geometric flow based in the Riemann-Christoffel curvature tensor that in
two dimensions has some common features with the usual Ricci flow is presented.
For $n$ dimensional spaces this new flow takes into account all the components
of the intrinsic curvature. For four dimensional Lorentzian manifolds it is
found that the solutions of the Einstein equations associated to a "detonant"
sphere of matter, as well, as a Friedman-Roberson-Walker cosmological model are
examples of Riemann-Christoffel flows. Possible generalizations are mentioned.


title: Strong terahertz emission from superlattices via Zener tunneling

abstract:
  We develop a comprehensive, elegant theory to explain terahertz (THz)
emission from a superlattice over a wide range of applied electric field,which
shows excellent agreement between theory andexperiment for a
GaAs/Al{0.3}Ga{0.7As superlattice. Specifically we show that increasing
electric field increases THz emission for low fields, then reduces emission for
medium fields due to field-induced wave function localization, and then
increases emission in the high field due to delocalization and Zener tunneling
between minibands. Our theory shows that Zener tunneling resonances yield high
THz emission intensities and points to superlattice design improvements.


title: Regular-to-chaotic tunneling rates using a fictitious integrable system

abstract:
  We derive a formula predicting dynamical tunneling rates from regular states
to the chaotic sea in systems with a mixed phase space. Our approach is based
on the introduction of a fictitious integrable system that resembles the
regular dynamics within the island. For the standard map and other kicked
systems we find agreement with numerical results for all regular states in a
regime where resonance-assisted tunneling is not relevant.


title:
Exponentially Stable Nonlinear Systems have Polynomial Lyapunov
  Functions on Bounded Regions

abstract:
  This paper presents a proof that existence of a polynomial Lyapunov function
is necessary and sufficient for exponential stability of sufficiently smooth
nonlinear ordinary differential equations on bounded sets. The main result
states that if there exists an n-times continuously differentiable Lyapunov
function which proves exponential stability on a bounded subset of R^n, then
there exists a polynomial Lyapunov function which proves exponential stability
on the same region. Such a continuous Lyapunov function will exist if, for
example, the right-hand side of the differential equation is polynomial or at
least n-times continuously differentiable. The proof is based on a
generalization of the Weierstrass approximation theorem to differentiable
functions in several variables. Specifically, we show how to use polynomials to
approximate a differentiable function in the Sobolev norm W^{1,\infty} to any
desired accuracy. We combine this approximation result with the second-order
Taylor series expansion to find that polynomial Lyapunov functions can
approximate continuous Lyapunov functions arbitrarily well on bounded sets. Our
investigation is motivated by the use of polynomial optimization algorithms to
construct polynomial Lyapunov functions.


title:
A new magnetic field dependence of Landau levels on a graphene like
  structure

abstract:
  We consider a tight-binding model on the honeycomb lattice in a magnetic
field. For special values of the hopping integrals, the dispersion relation is
linear in one direction and quadratic in the other. We find that, in this case,
the energy of the Landau levels varies with the field B as E_n(B) ~
[(n+\gamma)B]^{2/3}. This result is obtained from the low-field study of the
tight-binding spectrum on the honeycomb lattice in a magnetic field (Hofstadter
spectrum) as well as from a calculation in the continuum approximation at low
field. The latter links the new spectrum to the one of a modified quartic
oscillator. The obtained value $\gamma=1/2$ is found to result from the
cancellation of a Berry phase.


title: Magnetization and susceptibility of ferrofluids

abstract:
  A second-order Taylor series expansion of the free energy functional provides
analytical expressions for the magnetic field dependence of the free energy and
of the magnetization of ferrofluids, here modelled by dipolar Yukawa
interaction potentials. The corresponding hard core dipolar Yukawa reference
fluid is studied within the framework of the mean spherical approximation. Our
findings for the magnetic and phase equilibrium properties are in quantitative
agreement with previously published and new Monte Carlo simulation data.


title: Convex and star-shaped sets associated with stable distributions

abstract:
  It is known that each symmetric stable distribution in $R^d$ is related to a
norm on $R^d$ that makes $R^d$ embeddable in $L_p([0,1])$. In case of a
multivariate Cauchy distribution the unit ball in this norm corresponds is the
polar set to a convex set in $R^d$ called a zonoid. This work interprets
general stable laws using convex or star-shaped sets and exploits recent
advances in convex geometry in order to come up with new probabilistic results
for multivariate stable distributions. In particular, it provides expressions
for moments of the Euclidean norm of a stable vector, mixed moments and various
integrals of the density function. It is shown how to use geometric
inequalities in order to bound important parameters of stable laws. It is shown
that each symmetric stable laws appears as the limit for the sum of
sub-Gaussian laws and an estimate for the probability distance to a
sub-Gaussian law is given. Operations with convex sets induce the well-known
and new operations with stable vectors. Furthermore, covariation, regression
and orthogonality concepts for stable laws acquire geometric interpretations. A
similar collection of results is presented for one-sided stable laws.


title:
Cross sections for hard exclusive electroproduction of pi+ mesons on a
  hydrogen target

abstract:
  The exclusive electroproduction of pi+ mesons was studied with the Hermes
spectrometer at the DESY laboratory by scattering 27.6 GeV positron and
electron beams off an internal hydrogen gas target. The virtual-photon cross
sections were measured as a function of the Mandelstam variable t and the
squared four momentum -Q^2 of the exchanged virtual photon. A model calculation
based on Generalized Parton Distributions is in fair agreement with the data at
low values of |t| if power corrections are included. A model calculation based
on the Regge formalism gives a good description of the magnitude and the t and
Q^2 dependences of the cross section.


title: Gravitational lensing in braneworld gravity: formalism and applications

abstract:
  In this article, we develop a formalism which is different from the standard
lensing scenario and is necessary for understanding lensing by gravitational
fields which arise as solutions of the effective Einstein equations on the
brane. We obtain general expressions for measurable quantities such as time
delay, deflection angle, Einstein ring and magnification. Subsequently, we
estimate the deviations (relative to the standard lensing scenario) in the
abovementioned quantities by considering the line elements for clusters and
spiral galaxies obtained by solving the effective Einstein equations on the
brane. Our analysis reveals that gravitational lensing can be a useful tool for
testing braneworld gravity as well as the existence of extra dimensions.


title: Uniform Star-factors of Graphs with Girth Three

abstract:
  A {\it star-factor} of a graph $G$ is a spanning subgraph of $G$ such that
each component of which is a star. Recently, Hartnell and Rall studied a family
$\mathscr{U}$ of graphs satisfying the property that every star-factor of a
member graph has the same number of edges. They determined the family
$\mathscr{U}$ when the girth is at least five. In this paper, we investigate
the family of graphs with girth three and determine all members of this family.


title:
Elucidation of microstructure of single-phase microcrystalline silicon
  based on crystallite size distributions

abstract:
  Highly crystallized undoped hydrogenated microcrystalline silicon films
prepared using SiF4-H2 mixture plasma were investigated at various stages of
growth employing different microstructural probes. Our self-consistent results
elucidate various aspects of the evolution of film microstructure,
compositional changes and variations in crystallite size distributions with
film growth. Inclusion of a bimodal crystallite size distribution in
microstructural data analysis leads to results that are corroborative with
those obtained from other microstructural tools, and yields a more physically
accurate and coherent description of microcrystalline silicon film
microstructure.


title: Star-uniform Graphs

abstract:
  A {\it star-factor} of a graph $G$ is a spanning subgraph of $G$ such that
each of its component is a star. Clearly, every graph without isolated vertices
has a star factor. A graph $G$ is called {\it star-uniform} if all star-factors
of $G$ have the same number of components. To characterize star-uniform graphs
was an open problem posed by Hartnell and Rall, which is motivated by the
minimum cost spanning tree and the optimal assignment problems. We use the
concepts of factor-criticality and domination number to characterize all
star-uniform graphs with the minimum degree at least two. Our proof is heavily
relied on Gallai-Edmonds Matching Structure Theorem.


title: Uniformly Weighted Star-Factors of Graphs

abstract:
  A {\it star-factor} of a graph $G$ is a spanning subgraph of $G$ such that
each component of which is a star. An {\it edge-weighting} of $G$ is a function
$w: E(G)\longrightarrow \mathbb{N}^+$, where $\mathbb{N}^+$ is the set of
positive integers. Let $\Omega$ be the family of all graphs $G$ such that every
star-factor of $G$ has the same weights under a fixed edge-weighting $w$. In
this paper, we present a simple structural characterization of the graphs in
$\Omega$ that have girth at least five.


title:
Structural Determination of Nanocrystalline Si Films Using Ellipsometry
  and Raman Spectroscopy

abstract:
  Single phase nano and micro crystalline silicon films deposited using SiF4/H2
plasma at different H2 dilution levels were studied at initial and terminal
stages of film growth with spectroscopic ellipsometry (SE), Raman scattering
(RS) and atomic force microscopy (AFM). The analysis of data obtained from SE
elucidates the microstructural evolution with film growth in terms of the
changes in crystallite sizes and their volume fractions, crystallite
conglomeration and film morphology. The effect of H2 dilution on film
microstructure and morphology, and the corroborative findings from AFM studies
are discussed. Our SE results evince two distinct mean sizes of crystallites in
the material after a certain stage of film growth. The analysis of Raman
scattering data for such films has been done using a bimodal size distribution
of crystallite grains, which yields more accurate and physically rational
microstructural picture of the material.


title: Publication history of von Staudt's Geometrie der Lage

abstract:
  From a census of forty copies, we can distinguish three different editions of
von Staudt's Geometrie der Lage: the first of 1847 and two undated ones from
the 1870's.


title: Positive Forms and Stability of Linear Time-Delay Systems

abstract:
  We consider the problem of constructing Lyapunov functions for linear
differential equations with delays. For such systems it is known that
exponential stability implies the existence of a positive Lyapunov function
which is quadratic on the space of continuous functions. We give an explicit
parametrization of a sequence of finite-dimensional subsets of the cone of
positive Lyapunov functions using positive semidefinite matrices. This allows
stability analysis of linear time-delay systems to be formulated as a
semidefinite program.


title: Analysis of a four-mirror cavity enhanced Michelson interferometer

abstract:
  We investigate the shot noise limited sensitivity of a four-mirror cavity
enhanced Michelson interferometer. The intention of this interferometer
topology is the reduction of thermal lensing and the impact of the
interferometers contrast although transmissive optics are used with high
circulating powers. The analytical expressions describing the light fields and
the frequency response are derived. Although the parameter space has 11
dimensions, a detailed analysis of the resonance feature gives boundary
conditions allowing systematic parameter studies.


title:
The influence of the nuclear medium on inclusive electron and neutrino
  scattering off nuclei

abstract:
  We present a model for inclusive electron and neutrino scattering off nuclei
paying special attention to the influence of in-medium effects on the
quasi-elastic scattering and pion-production mechanisms. Our results for
electron scattering off Oxygen are compared to experimental data at beam
energies ranging from 0.7-1.5 GeV. The good description of electron scattering
serves as a benchmark for neutrino scattering.


title:
Towards an hybrid compactification with a scalar-tensor global cosmic
  string

abstract:
  We derive a solution of the gravitational equations which leads to a
braneworld scenario in six dimensions using a global cosmic string solution in
a low energy effective string theory framework. The final spacetime is composed
by one warped brane with $\mathbb{R}^{(3,1)}\times S^{1}$ topology and a power
law warp factor, and one noncompact extra dimension transverse to the brane. By
looking at the current experimental bounds, we find a range of parameters in
which, if the on-brane dimension has an acceptable size, it does not solve the
hierarchy problem. In another example this problem is smoothed by the
Brans-Dicke parameter.


title: Selection Relaying at Low Signal to Noise Ratios

abstract:
  Performance of cooperative diversity schemes at Low Signal to Noise Ratios
(LSNR) was recently studied by Avestimehr et. al. [1] who emphasized the
importance of diversity gain over multiplexing gain at low SNRs. It has also
been pointed out that continuous energy transfer to the channel is necessary
for achieving the max-flow min-cut bound at LSNR. Motivated by this we propose
the use of Selection Decode and Forward (SDF) at LSNR and analyze its
performance in terms of the outage probability. We also propose an energy
optimization scheme which further brings down the outage probability.


title: Evading divergences in quantum field theory

abstract:
  Explicit solution of a Green function in a non-renormalizable toy model
demonstrates that Green functions of the interacting theory fall off much
faster than at the tree level at large momenta. This suggests a method of
calculations in quantum field theory which is free of divergences.


title: Fractional Quantum Hall Effect in the Second Landau Level

abstract:
  We present activation gap measurements of the fractional quantum Hall effect
(FQHE) in the second Landau level. Signatures for 14 (5) distinct
incompressible FQHE states are seen in a high (low) mobility sample with the
enigmatic 5/2 even denominator FQHE having a large activation gap of $\sim$600
($\sim$300mK) in the high (low) mobility sample. Our measured large relative
gaps for 5/2, 7/3, and 8/3 FQHE indicate emergence of exotic FQHE correlations
in the second Ladau level, possibly quite different from the well-known lowest
Landau level Laughlin correlations. Our measured 5/2 gap is found to be in
reasonable agreement with the theoretical gap once finite width and disorder
broadening corrections are taken into account.


title: The number of imaginary quadratic fields with a given class number

abstract:
  We investigate the number ${\Cal F}(h)$ of imaginary quadratic fields with
class number $h$. We establish an asymptotic formula for the average value of
${\Cal F}(h)$. We also establish a modest non-trivial upper bound for ${\Cal
F}(h)$ and give an application to a question of Rosen and Silverman on the odd
part of the class number. Finally, we speculate on the asymptotic nature of
${\Cal F}(h)$.


title:
Spin flip lifetimes in superconducting atom chips: BCS versus Eliashberg
  theory

abstract:
  We investigate theoretically the magnetic spin-flip transitions of neutral
atoms trapped near a superconducting slab. Our calculations are based on a
quantum-theoretical treatment of electromagnetic radiation near dielectric and
metallic bodies. Specific results are given for rubidium atoms near a niobium
superconductor. At the low frequencies typical of the atomic transitions, we
find that BCS theory greatly overestimates coherence effects, which are much
less pronounced when quasiparticle lifetime effects are included through
Eliashberg theory. At 4.2 K, the typical atomic spin lifetime is found to be
larger than a thousand seconds, even for atom-superconductor distances of one
micrometer. This constitutes a large enhancement in comparison with normal
metals.


title:
Hamiltonian Stationary Shrinkers and Expanders for Lagrangian Mean
  Curvature Flows

abstract:
  We construct examples of shrinkers and expanders for Lagrangian mean
curvature flows. These examples are Hamiltonian stationary and asymptotic to
the union of two Hamiltonian stationary cones found by Schoen and Wolfson. The
Schoen-Wolfson cones $C_{p,q}$ are obstructions to the existence problems of
special Lagrangians or Lagrangian minimal surfaces in the variational approach.
It is known that these cone singularities cannot be resolved by any smooth
oriented Lagrangian submanifolds. The shrinkers and expanders that we found can
be glued together to yield solutions of the Brakke motion-a weak formulation of
the mean curvature flow. For any coprime pair $(p,q)$ other than $(2,1)$, we
construct such a solution that resolves any single Schoen-Wolfson cone
$C_{p,q}$. This thus provides an evidence to Schoen-Wolfson's conjecture that
the $(2,1)$ cone is the only area-minimizing cone. Higher dimensional
generalizations are also obtained.


title: A theory of bundles over posets

abstract:
  In algebraic quantum field theory the spacetime manifold is replaced by a
suitable base for its topology ordered under inclusion. We explain how certain
topological invariants of the manifold can be computed in terms of the base
poset. We develop a theory of connections and curvature for bundles over posets
in search of a formulation of gauge theories in algebraic quantum field theory.


title: Singular points of real quartic curves via computer algebra

abstract:
  There are thirteen types of singular points for irreducible real quartic
curves and seventeen types of singular points for reducible real quartic
curves. This classification is originally due to D.A. Gudkov. There are nine
types of singular points for irreducible complex quartic curves and ten types
of singular points for reducible complex quartic curves. We derive the complete
classification with proof by using the computer algebra system Maple. We
clarify that the classification is based on computing just enough of the
Puiseux expansion to separate the branches. Thus, the proof consists of a
sequence of large symbolic computations that can be done nicely using Maple.


title:
Slave boson theory for transport through magnetic molecules with
  vibronic states

abstract:
  We study the electron transport through a magnetic molecular transistor in
the Kondo limit using the slave boson technique. We include the electron-phonon
coupling and analyze the cases where the spin of the molecule is either S=1/2
or S=1. We use the Schrieffer-Wolff transformation to write down a low energy
Hamiltonian for the system. In the presence of electron-phonon coupling, and
for $S\smeq1$, the resulting Kondo Hamiltonian has two active channels. At low
temperature, these two channels interfere destructively, leading to a zero
conductance.


title: Conformal properties of four-gluon planar amplitudes and Wilson loops

abstract:
  We present further evidence for a dual conformal symmetry in the four-gluon
planar scattering amplitude in N=4 SYM. We show that all the momentum integrals
appearing in the perturbative on-shell calculations up to five loops are dual
to true conformal integrals, well defined off shell. Assuming that the complete
off-shell amplitude has this dual conformal symmetry and using the basic
properties of factorization of infrared divergences, we derive the special form
of the finite remainder previously found at weak coupling and recently
reproduced at strong coupling by AdS/CFT. We show that the same finite term
appears in a weak coupling calculation of a Wilson loop whose contour consists
of four light-like segments associated with the gluon momenta. We also
demonstrate that, due to the special form of the finite remainder, the
asymptotic Regge limit of the four-gluon amplitude coincides with the exact
expression evaluated for arbitrary values of the Mandelstam variables.


title: A construction of numerical Campedelli Surfaces with \Z/6 torsion group

abstract:
  We produce a family of numerical Campedelli surfaces with \Z/6 torsion by
constructing the (Gorenstein codimension 5) canonical ring of the \'{e}tale six
to one cover using serial unprojection. In Section 2 we develop the necessary
algebraic machinery. Section 3 contains the numerical Campedelli surface
construction, while Section 4 contains remarks and open questions.


title: Relating Neural Dynamics to Neural Coding

abstract:
  We demonstrate that two key theoretical objects used widely in Computational
Neuroscience, the phase-resetting curve (PRC) from dynamics and the spike
triggered average (STA) from statistical analysis, are closely related under a
wide range of stimulus conditions. We prove that the STA is proportional to the
derivative of the PRC. We compare these analytic results to numerical
calculations for the Hodgkin-Huxley neuron and we apply the method to neurons
in the olfactory bulb of mice. This observation allows us to relate the
stimulus-response properties of a neuron to its dynamics, bridging the gap
between dynamical and information theoretic approaches to understanding brain
computations and facilitating the interpretation of changes in channels and
other cellular properties as influencing the representation of stimuli.


title:
A new graphical tool of outliers detection in regression models based on
  recursive estimation

abstract:
  We present in this paper a new tool for outliers detection in the context of
multiple regression models. This graphical tool is based on recursive
estimation of the parameters. Simulations were carried out to illustrate the
performance of this graphical procedure. As a conclusion, this tool is applied
to real data containing outliers according to the classical available tools.


title: A dynamical study of the pentaquark Theta+ state

abstract: this paper has been withdrawn by the author due to crucial type errors


title: On Newtonian frames

abstract:
  In Newtonian space-time there exist four, and only four, causal classes of
frames. Natural frames allow to extend this result to coordinate systems, so
that coordinate systems may be also locally classified in four causal classes.
These causal classes admit simple geometric descriptions and physical
interpretations. For example, one can generate representatives of the four
causal classes by means of the {\em linear synchronization group}. Of
particular interest is the {\em local Solar time synchronization}, which
reveals the limits of the frequent use of the concept of `causally oriented
oordinate', such as that of `time-like coordinate'. Classical {\em positioning
systems}, based in sound or light signals, are, by themselves, interesting
examples of location systems, i.e. of physically constructible coordinate
systems. They show that one can locate events in Newtonian space-time {\em
without} any use of the concept of synchronization. In fact, the coordinate
systems associated to positioning systems, belong to all the classes but the
standard one, i.e. the one based in the simultaneity synchronization. The
relativistic analogs of these examples, emphasize the contrast between the four
Newtonian and the one hundred and ninety nine Lorentzian causal classes of
frames of classical and relativistic space-times, respectively.


title:
Eccentricity fluctuations from the Color Glass Condensate at RHIC and
  LHC

abstract:
  In this brief note, we determine the fluctuations of the initial eccentricity
in heavy-ion collisions caused by fluctuations of the nucleon configurations.
This is done via a Monte-Carlo implementation of a Color Glass Condensate
$k_t$-factorization approach. The eccentricity fluctuations are found to nearly
saturate elliptic flow fluctuations measured recently at RHIC. Extrapolations
to LHC energies are shown.


title: The refined transfer, bundle structures and algebraic K-theory

abstract:
  We give new homotopy theoretic criteria for deciding when a fibration with
homotopy finite fibers admits a reduction to a fiber bundle with compact
topological manifold fibers. The criteria lead to a new and unexpected result
about homeomorphism groups of manifolds. A tool used in the proof is a
surjective splitting of the assembly map for Waldhausen's functor A(X).
  We also give concrete examples of fibrations having a reduction to a fiber
bundle with compact topological manifold fibers but which fail to admit a
compact fiber smoothing. The examples are detected by algebraic K-theory
invariants.
  We consider a refinement of the Becker-Gottlieb transfer. We show that a
version of the axioms described by Becker and Schultz uniquely determines the
refined transfer for the class of fibrations admitting a reduction to a fiber
bundle with compact topological manifold fibers.
  In an appendix, we sketch a theory of characteristic classes for fibrations.
The classes are primary obstructions to finding a compact fiber smoothing.


title: Orthogonal functions generalizing Jack polynomials

abstract:
  The rational Cherednik algebra $\HH$ is a certain algebra of
differential-reflection operators attached to a complex reflection group $W$.
Each irreducible representation $S^\lambda$ of $W$ corresponds to a standard
module $M(\lambda)$ for $\HH$. This paper deals with the infinite family
$G(r,1,n)$ of complex reflection groups; our goal is to study the standard
modules using a commutative subalgebra $\ttt$ of $\HH$ discovered by Dunkl and
Opdam. In this case, the irreducible $W$-modules are indexed by certain
sequences $\lambda$ of partitions. We first show that $\ttt$ acts in an upper
triangular fashion on each standard module $M(\lambda)$, with eigenvalues
determined by the combinatorics of the set of standard tableaux on $\lambda$.
As a consequence, we construct a basis for $M(\lambda)$ consisting of
orthogonal functions on $\CC^n$ with values in the representation $S^\lambda$.
For $G(1,1,n)$ with $\lambda=(n)$ these functions are the non-symmetric Jack
polynomials. We use intertwining operators to deduce a norm formula for our
orthogonal functions and give an explicit combinatorial description of the
lattice of submodules of $M(\lambda)$ in the case in which the orthogonal
functions are all well-defined.


title:
A generic rule that simplifies the derivation of the transformation
  equations accounting for the properties of the photon

abstract:
  We show that the transformation equation for the tardyon velocity involves
two generic functions which in turn depend on the relative velocity of the
involved reference frames, on the tardyon velocity u and on the polar angle
which define the direction along which the tardyon moves. The same functions
are further involved in the transformation equations for the space-time
coordinates of the same event generated by a moving tardyon and for its
relativistic mass, momentum and energy. Taking the limits of these functions
for u approaching c we obtain exactly the transformation equations for the
space-time coordinates of the same event generated by a photon and for its
momentum and energy. The same procedure works also for the transition from a
plane acoustic wave to an electromagnetic wave.


title:
Upsilonium polarization as a touchstone in understanding the proton
  dynamics in QCD

abstract:
  In the framework of the k_t-factorization approach, the production of
$\Upsilon mesons at the Fermilab Tevatron and CERN LHC is considered, and the
predictions on the spin alignment parameter $\alpha$ are presented. We argue
that measuring the polarization of quarkonium states can serve as a crucial
test discriminating two competing theoretical approaches to parton dynamics in
QCD.