title: Exchange Control of Nuclear Spin Diffusion in a Double Quantum Dot

abstract:
  Coherent two-level systems, or qubits, based on electron spins in GaAs
quantum dots are strongly coupled to the nuclear spins of the host lattice via
the hyperfine interaction. Realizing nuclear spin control would likely improve
electron spin coherence and potentially enable the nuclear environment to be
harnessed for the long-term storage of quantum information. Toward this goal,
we report experimental control of the relaxation of nuclear spin polarization
in a gate-defined two-electron GaAs double quantum dot. A cyclic gate-pulse
sequence transfers the spin of an electron pair to the host nuclear system,
establishing a local nuclear polarization that relaxes on a time scale of
seconds. We find nuclear relaxation depends on magnetic field and
gate-controlled two-electron exchange, consistent with a model of electron
mediated nuclear spin diffusion.


title:
FLAMINGOS-2: A Near-IR Multi-Object Spectrometer Ideal for Surveying the
  Galactic Center

abstract:
  FLAMINGOS-2 (PI: S. Eikenberry) is a $5M facility-class near-infrared (1-2.5
micron) multi-object spectrometer and wide-field imager being built at the
University of Florida for Gemini South. Here we highlight the capabilities of
FLAMINGOS-2, as it will be an ideal instrument for surveying the accreting
binary population in the Galactic Center.


title: The FLAMINGOS-2 Galactic Center Survey

abstract:
  Upon commissioning on Gemini South, FLAMINGOS-2 will be one of the most
powerful wide-field near-infrared imagers and multi-object spectrographs ever
built for use on 8-meter-class telescopes. In order to take best advantage of
the strengths of FLAMINGOS-2 early in its life cycle, the instrument team has
proposed to use 21 nights of Gemini guaranteed time in 3 surveys -- the
FLAMINGOS-2 Early Science Surveys (F2ESS). The F2ESS will encompass 3
corresponding science themes -- the Galactic Center, galaxy evolution, and star
formation. In this paper, I review the design performance and status of
FLAMINGOS-2, and describe the planned FLAMINGOS-2 Galactic Center Survey.


title: Monodromy in the CMB: Gravity Waves and String Inflation

abstract:
  We present a simple mechanism for obtaining large-field inflation, and hence
a gravitational wave signature, from string theory compactified on twisted
tori. For Nil manifolds, we obtain a leading inflationary potential
proportional to phi^(2/3) in terms of the canonically normalized field phi,
yielding predictions for the tilt of the power spectrum and the
tensor-to-scalar ratio, $n_s\approx 0.98$ and $r\approx 0.04$ with 60
e-foldings of inflation; we note also the possibility of a variant with a
candidate inflaton potential proportional to phi^(2/5). The basic mechanism
involved in extending the field range -- monodromy in D-branes as they move in
circles on the manifold -- arises in a more general class of compactifications,
though our methods for controlling the corrections to the slow-roll parameters
require additional symmetries.


title:
A Solid-State System for High Temporal Resolution Fluorescence Lifetime
  Measurements

abstract:
  A system for time-correlated single photon counting applications based on
CMOS single photon avalanche diodes is presented. An instrument response
function of 79 ps allows a fluorescence decay of high-affinity Ca2+ indicator
Oregon Green BAPTA-1 to be analyzed with unprecedented temporal resolution in
the two-photon excitation regime. A triple exponential decay model is shown to
best fit the fluorescence dynamics of OGB-1.


title:
In the quest for a global (super)symmetry breaking mechanism: an
  extension of the vibronic mixing process to superpartners

abstract:
  We propose a global symmetry-breaking mechanism based on an extension of the
vibronic (cooperative Jahn-Teller) effects (comprising electron-phonon
superpartners) to generalize them into fermion-boson superpartners. Examples of
superpairs are constructed by combining phonons, photons, pi-mesons, etc. with
electrons, holes, nucleons, etc. in condensed and nuclear matter. The obtained
symmetry-breaking mechanism operating amidst the superpartner pairs may be just
what is needed to justify the status of supersymmetry as a broken-symmetry
phenomenon. Following the extended vibronic mixing of fermion states by the
appropriate heavy boson superpartner, the latter propagates along a helical
path away from the mixing site.


title: Bounds on exceptional Dehn filling II

abstract:
  We show that there are at most finitely many one cusped orientable hyperbolic
3-manifolds which have more than eight non-hyperbolic Dehn fillings. Moreover,
we show that determining these finitely many manifolds is decidable.


title: Generalized exponential function and discrete growth models

abstract:
  Here we show that a particular one-parameter generalization of the
exponential function is suitable to unify most of the popular one-species
discrete population dynamics models into a simple formula. A physical
interpretation is given to this new introduced parameter in the context of the
continuous Richards model, which remains valid for the discrete case. From the
discretization of the continuous Richards' model (generalization of the
Gompertz and Verhuslt models), one obtains a generalized logistic map and we
briefly study its properties. Notice, however that the physical interpretation
for the introduced parameter persists valid for the discrete case. Next, we
generalize the (scramble competition) $\theta$-Ricker discrete model and
analytically calculate the fixed points as well as their stability. In contrast
to previous generalizations, from the generalized $\theta$-Ricker model one is
able to retrieve either scramble or contest models.


title:
A Classroom Demonstration of Levitation and Suspension of a
  Superconductor over a Magnetic Track

abstract:
  The suspension and levitation of superconductors by permanent magnets is one
of the most fascinating consequences of superconductivity, and a wonderful
instrument for generating interest in low temperature physics and
electrodynamics. We present a novel classroom demonstration of the
levitation/suspension of a superconductor over a magnetic track that maximizes
levitation/suspension time, separation distance between the magnetic track and
superconductor and also insulator aesthetics. The demonstration as described is
both inexpensive and easy to construct.


title:
Seoul National University Bright Quasar Survey in Optical (SNUQSO). II.
  Discovery of 40 Bright Quasars Near the Galactic Plane

abstract:
  We report the discovery of 40 bright quasars and active galactic nuclei
(AGNs) at low Galactic latitude (b<20deg). The low Galactic latitude region has
been considered a place to avoid when searching for extragalactic sources,
because of the high Galactic extinction, as well as a large number of stars
contaminating the sample selection. Bright quasars (R<~17) suffer more from
such difficulties because they look like bright stars, which are numerous at
low b, yet their surface number density is very low. In order to find quasars
in this region of the sky less explored for extragalactic sources, we have
started a survey of low Galactic latitude bright quasars as a part of the Seoul
National University Quasar Survey in Optical (SNUQSO). Quasar candidates have
been selected from radio and near-infrared (NIR) data. Out of 88 targets, we
identify 29 bright quasars/AGNs around the antigalactic center, and 11 bright
quasars/AGNs in the outskirts of the Galactic center, from two observing runs
in 2006 at the Bohyunsan Optical Astronomical Observatory (BOAO) in Korea. Our
finding demonstrates that quasars/AGNs can be discovered effectively, even at
low Galactic latitude, using multiwavelength data.


title: Function Theory in Real Hardy Spaces

abstract:
  We show that many classical results in Hardy space theory have exact
analogues when the Fourier coefficients are allowed only to be real.


title: Diversity and relative arbitrage in equity markets

abstract:
  A financial market is called "diverse" if no single stock is ever allowed to
dominate the entire market in terms of relative capitalization. In the context
of the standard Ito-process model initiated by Samuelson (1965) we formulate
this property (and the allied, successively weaker notions of "weak diversity"
and "asymptotic weak diversity") in precise terms. We show that diversity is
possible to achieve, but delicate. Several illustrative examples are provided,
which demonstrate that weakly-diverse financial markets contain relative
arbitrage opportunities: it is possible to outperform (or underperform) such
markets over sufficiently long time-horizons, and to underperform them
significantly over arbitrary time-horizons. The existence of such relative
arbitrage does not interfere with the development of option pricing, and has
interesting consequences for the pricing of long-term warrants and for put-call
parity. Several open questions are suggested for further study.


title: Nonuniform measure rigidity

abstract:
  We consider an ergodic invariant measure $\mu$ for a smooth action of $Z^k$,
$k \ge 2$, on a $(k+1)$-dimensional manifold or for a locally free smooth
action of $R^k$, $k \ge 2$ on a $(2k+1)$-dimensional manifold. We prove that if
$\mu$ is hyperbolic with the Lyapunov hyperplanes in general position and if
one element of the action has positive entropy, then $\mu$ is absolutely
continuous. The main ingredient is absolute continuity of conditional measures
on Lyapunov foliations which holds for a more general class of smooth actions
of higher rank abelian groups.


title: Quantum pattern formation dynamics of photoinduced nucleation process

abstract:
  We study the dynamics of quantum pattern formation processes in molecular
crystals which is a concomitant with photoinduced nucleation. Since the
nucleation process in coherent regime is driven by the nonadiabatic transition
in each molecule followed by the propagation of phonons, it is necessary to
take into account the quantum nature of both electrons and phonons in order to
pursue the dynamics of the system. Therefore, we employ a model of localized
electrons coupled with a quantized phonon mode and solved the time-dependent
Schr\"odinger equation numerically. We found that there is a minimal size of
clusters of excited molecules which triggers the photoinduced nucleation
process, i.e., nucleation does not take place unless sufficient photoexcitation
energy is concentrated within a narrow area of the system. We show that this
result means that the spatial distribution of photoexcited molecules plays an
important role in the nonlinearity of the dynamics and also of the optical
properties observed in experiments. We calculated the conversion ratio, the
nucleation rate, and correlation functions to reveal the dynamical properties
of the pattern formation process, and the initial dynamics of the photoinduced
structural change is discussed from the viewpoint of pattern formation.


title: Physical Underpinnings of Privacy

abstract:
  One of the remarkable features of quantum mechanics is the ability to ensure
secrecy. Private states embody this effect, as they are precisely those
multipartite quantum states from which two parties can produce a shared secret
that cannot in any circumstance be correlated to an external system. Naturally,
these play an important role in quantum key distribution (QKD) and quantum
information theory. However, a general distillation method has heretofore been
missing. Inspired by Koashi's complementary control scenario (arXiv:0704.3661v1
[quant-ph]), we give a new definition of private states in terms of one party's
potential knowledge of two complementary measurements made on the other and use
this to construct a general method of private state distillation using quantum
error-correcting codes. The procedure achieves the same key rate as recent,
more information-theoretic approaches while demonstrating the physical
principles underlying privacy of the key. Additionally, the same approach can
be used to establish the hashing inequality for entanglement distillation, as
well as the direct quantum coding theorem.


title:
Maximal violation of tight Bell inequalities for maximal
  high-dimensional entanglement

abstract:
  We propose a Bell inequality for high-dimensional bipartite systems obtained
by binning local measurement outcomes and show that it is tight. We find a
binning method for even d-dimensional measurement outcomes for which this Bell
inequality is maximally violated by maximally entangled states. Furthermore, we
demonstrate that the Bell inequality is applicable to continuous variable
systems and yields strong violations for two-mode squeezed states.


title:
Regenerative tree growth: Binary self-similar continuum random trees and
  Poisson--Dirichlet compositions

abstract:
  We use a natural ordered extension of the Chinese Restaurant Process to grow
a two-parameter family of binary self-similar continuum fragmentation trees. We
provide an explicit embedding of Ford's sequence of alpha model trees in the
continuum tree which we identified in a previous article as a distributional
scaling limit of Ford's trees. In general, the Markov branching trees induced
by the two-parameter growth rule are not sampling consistent, so the existence
of compact limiting trees cannot be deduced from previous work on the sampling
consistent case. We develop here a new approach to establish such limits, based
on regenerative interval partitions and the urn-model description of sampling
from Dirichlet random distributions.


title: Concurrent Composition and Algebras of Events, Actions, and Processes

abstract:
  There are many different models of concurrent processes. The goal of this
work is to introduce a common formalized framework for current research in this
area and to eliminate shortcomings of existing models of concurrency. Following
up the previous research of the authors and other researchers on concurrency,
here we build a high-level metamodel EAP (event-action-process) for concurrent
processes. This metamodel comprises a variety of other models of concurrent
processes. We shape mathematical models for, and study events, actions, and
processes in relation to important practical problems, such as communication in
networks, concurrent programming, and distributed computations. In the third
section of the work, a three-level algebra of events, actions and processes is
constructed and studied as a new stage of algebra for concurrent processes.
Relations between EAP process algebra and other models of concurrency are
considered in the fourth section of this work.


title:
Space- and time-like form factors for $\omega\to\pi\gamma^*$ and $K^*\to
  K\gamma^*$ in light-front quark model

abstract:
  We investigate space- and time-like form factors for $\omega\to\pi\gamma^*$
and $K^*\to K\gamma^*$ decays using the light-front quark model constrained by
the variational principle for the QCD-motivated effective Hamiltonian. The
momentum dependent space-like form factors are obtained in the $q^+=0$ frame
and then analytically continued to the time-like region. Our prediction for the
time-like form factor $F_{\omega\pi}(q^2)$ is in good agreement with the
experimental data. We also find that the space-like form factor
$F_{K^{*\pm}K^{\pm}}(Q^2)$ for charged kaons encounters a zero because of the
negative interference between the two currents to the quark and the antiquark.


title: Empirical Neutrino Mass Matrix Related to Up-Quark Masses

abstract:
  Based on an approach to quark and lepton masses, where the mass spectra
originate in vacuum expectation values of U(3) flavor nonet (gauge singlet)
scalars, neutrino masses and mixing are investigated. As an offshoot of this
approach, it is found that an empirical neutrino mass matrix which is described
in terms of the up-quark and charged lepton masses can accommodate to a nearly
tribimaximal mixing.


title:
Kinetics of non-equilibrium quasiparticle tunneling in superconducting
  charge qubits

abstract:
  We directly observe low-temperature non-equilibrium quasiparticle tunneling
in a pair of charge qubits based on the single Cooper-pair box. We measure
even- and odd-state dwell time distributions as a function of temperature, and
interpret these results using a kinetic theory. While the even-state lifetime
is exponentially distributed, the odd-state distribution is more heavily
weighted to short times, implying that odd-to-even tunnel events are not
described by a homogenous Poisson process. The mean odd-state dwell time
increases sharply at low temperature, which is consistent with quasiparticles
tunneling out of the island before reaching thermal equilibrium.


title: Accelerating universe, WEP violation and antihydrogen atoms

abstract:
  Apart from the suspected violation of the CPT invariance, we might expect if
the measurements of antihydrogen atoms provide testing Weak Equivalence
Principle (WEP) in the gravitational phenomena. We start with how its violation
can be related to the expected idea of unification of particle physics and
gravitation, an attempt beyond the standard theories, including general
relativity of Einstein. A particular emphasis will be placed on the issue of an
accelerating universe, a rather recent development since nearly 10 years ago,
suggesting a strong motivation toward attempts beyond the conventional concepts
of the traditional cosmology. We face today's version of the cosmological
constant problem. A candidate of the new ingredient appears to be provided by a
scalar field, sometimes under the names like quintessence or dark-energy. In
this article, we discuss the subject from a point of view of a more theoretical
approach based on the scalar-tensor theory of gravitation. By exploiting the
concepts of conformal transformations and conformal frames unique to this type
of approach, we show that a successful understanding of the observed
cosmological acceleration entails an unexpected outcome of breakdown of WEP,
which may show up as a distinct behavior between hydrogen and antihydrogen in
the gravitational influence, from a further wider perspective including a
vector field as well. We intended to introduce most of the new concepts as
plainly and briefly as possible, according to the nature of the talk. On the
other hand, however, we find it also useful to go into some more details,
depending on the interests of individuals among the audience. For a compromise,
we decided to add a number of footnotes which were not delivered during the
presentation, but might be helpful in the proceedings published later.


title:
Observation of large $h/2e$ and $h/4e$ oscillations in a proximity dc
  superconducting quantum interference device

abstract:
  We have measured the magnetoresistance of a dc superconducting quantum
interference device in the form of an interrupted mesoscopic normal-metal loop
in contact with two superconducting electrodes. Below the transition
temperature of the superconducting electrodes, large $h/2e$ periodic
magnetoresistance oscillations are observed. By adding a small dc bias to the
ac measurement current, $h/4e$ oscillations can be produced. Lowering the
temperature further leads to even larger oscillations, and eventually to sharp
switching from the superconducting state to the normal state. This
flux-dependent resistance could be utilized to make highly sensitive flux
detector.


title:
A Master Equation with Generalized Lindblad Form and a Unitary
  Transformation by the Squeezing Operator

abstract:
  In the preceding paper arXiv:0802.3252 [quant-ph] we treated a model given by
a master equation with generalized Lindblad form, and examined the algebraic
structure related to some Lie algebras and constructed an approximate solution.
  In this paper we apply a unitary transformation by the squeezing operator to
the master equation. Then the generalized Lindblad form is tranformed to the
usual Lindblad one, while the (original) Hamiltonian is tranformed to somewhat
complicated one.
  As a result we have two different representations based on the Lie algebra
su(1,1). We examine new algebraic structure and construct some approximate
solution.


title: A Note on Walk versus Wait: Lazy Mathematician Wins

abstract:
  Points out the errors in the paper "J.G. Chen, S.D. Kominers, and R.W.
Sinnott. Walk versus wait: The lazy mathematician wins. arXiv.org Mathematics
2008. arXiv:0801.0297"


title: Phase diagrams of the metallic zigzag carbon nanotube

abstract:
  We investigate a metallic zigzag carbon nanotube by means of a Hubbard model
which includes both on-site and nearest neighbour interactions. Assuming weak
interactions, a renormalization group analysis of the equivalent two-leg ladder
followed by bosonization and refermionization results in a Gross-Neveu model
with an enlarged symmetry relative to the original Hamiltonian. For the undoped
case the symmetry of the Gross-Neveu model is SO(8), but for the doped case the
particle-hole symmetry is broken and the symmetry reduces to SO(6). Four ground
state phases are found in the undoped carbon nanotube with repulsive
interactions, a d-wave Mott insulator, an s-wave Mott insulator, a p-density
wave and a charge density wave. The doped case has two ground state phases, a
d-wave superconductor and a phase where a p-density wave and a charge density
wave co-exist. We also explore the global phase diagram with a general
interaction profile and find several additional states, including a chiral
current phase where current flows around the nanotube along the zigzag bonds.


title: Rigidity of compact Riemannian spin Manifolds with Boundary

abstract:
  In this article, we prove new rigidity results for compact Riemannian spin
manifolds with boundary whose scalar curvature is bounded from below by a
non-positive constant. In particular, we obtain generalizations of a result of
Hang-Wang \cite{hangwang1} based on a conjecture of Schroeder and Strake
\cite{schroeder}.


title:
Voronoi Diagrams for Quantum States and Its Application to a Numerical
  Estimation of a Quantum Channel Capacity

abstract:
  In quantum information theory, a geometric approach, known as "quantum
information geometry," has been considered as a powerful method. In this
thesis, we give a computational geometric interpretation to the geometric
structure of a quantum system. Especially we introduce the concept of the
Voronoi diagram and the smallest enclosing ball problem to the space of quantum
states. With those tools in computational geometry, we analyze the adjacency
structure of a point set in the quantum state space. Additionally, as an
application, we show an effective method to compute the capacity of a quantum
channel.


title:
Maximizable informational entropy as measure of probabilistic
  uncertainty

abstract:
  In this work, we consider a recently proposed entropy S (called varentropy)
defined by a variational relationship dI=beta*(d<x>-<dx>) as a measure of
uncertainty of random variable x. By definition, varentropy underlies a
generalized virtual work principle <dx>=0 leading to maximum entropy
d(I-beta*<x>)=0. This paper presents an analytical investigation of this
maximizable entropy for several distributions such as stretched exponential
distribution, kappa-exponential distribution and Cauchy distribution.


title: A few remarks on the operator norm of random Toeplitz matrices

abstract:
  We present some results concerning the almost sure behaviour of the operator
norm or random Toeplitz matrices, including the law of large numbers for the
norm, normalized by its expectation (in the i.i.d. case). As tools we present
some concentration inequalities for suprema of empirical processes, which are
refinements of recent results by Einmahl and Li.


title: Unconditional Proof of the Boltzmann-Sinai Ergodic Hypothesis

abstract:
  We consider the system of $N$ ($\ge2$) elastically colliding hard balls of
masses $m_1,...,m_N$ and radius $r$ on the flat unit torus $\Bbb T^\nu$,
$\nu\ge2$. We prove the so called Boltzmann-Sinai Ergodic Hypothesis, i. e. the
full hyperbolicity and ergodicity of such systems for every selection
$(m_1,...,m_N;r)$ of the external geometric parameters. The present proof does
not use the formerly developed, rather involved algebraic techniques, instead
it employs exclusively dynamical methods and tools from geometric analysis.


title: Tunneling and energy splitting in an asymmetric double-well potential

abstract:
  An asymmetric double-well potential is considered, assuming that the minima
of the wells are quadratic with a frequency $\omega$ and the difference of the
minima is close to a multiple of $\hbar \omega$. A WKB wave function is
constructed on both sides of the local maximum between the wells, by matching
the WKB function to the exact wave functions near the classical turning points.
The continuities of the wave function and its first derivative at the local
maximum then give the energy-level splitting formula, which not only reproduces
the instanton result for a symmetric potential, but also elucidates the
appearance of resonances of tunneling in the asymmetric potential.


title:
Critical intermediate phase and phase transitions in a
  triangular-lattice three-spin interaction model: Level-spectroscopy approach

abstract:
  We investigate infinite-order phase transitions like the
Berezinskii-Kosterlitz-Thouless transition observed in a triangular-lattice
three-spin interaction model. Based on a field theoretical description and the
operator-production-expansion technique, we perform the renormalization-group
analysis, and then clarify properties of marginal operators near the phase
transition points. The results are utilized to establish criteria to determine
the transition points and some universal relations among excitation levels to
characterize the transitions. We verify these predictions via the numerical
analysis on eigenvalue structures of the transfer matrix. Also, we discuss an
enhancement of symmetry at the end points of a critical intermediate phase in
connection with a transition observed in the ground state of the
bilinear-biquadratic spin-1 chain.


title:
Bichromatically driven double well: parametric perspective of the
  strong-field control landscape reveals the influence of chaotic states

abstract:
  The aim of this work is to understand the influence of chaotic states in
control problems involving strong fields. Towards this end, we numerically
construct and study the strong field control landscape of a bichromatically
driven double well. A novel measure based on correlating the overlap
intensities between Floquet states and an initial phase space coherent state
with the parametric motion of the quasienergies is used to construct and
interpret the landscape features. "Walls" of no control, robust under
variations of the relative phase between the fields, are seen on the control
landscape and associated with multilevel interactions involving chaotic Floquet
states.


title: Cornell Potential Parameters for S-wave Heavy Quarkonia

abstract:
  We compute derived quantities for various values of the model parameter of
the Cornell potential model for the S-wave heavy quarkonia with radial quantum
numbers n=1, 2, and 3. Our results can be used to determine leading and
relative-order-v^2 nonrelativistic quantum chromodynamics matrix elements for
S-wave charmonia and bottomonia such as psi(2S), eta_c(2S), and Upsilon(nS) for
n=1, 2, and 3. These matrix elements will be essential ingredients for
resumming relativistic corrections to processes involving those S-wave heavy
quarkonium states.


title: On the Diversity-Multiplexing Tradeoff in Multiple-Relay Network

abstract:
  This paper studies the setup of a multiple-relay network in which $K$
half-duplex multiple-antenna relays assist in the transmission between
a/several multiple-antenna transmitter(s) and a multiple-antenna receiver. Each
two nodes are assumed to be either connected through a quasi-static Rayleigh
fading channel, or disconnected. We propose a new scheme, which we call
\textit{random sequential} (RS), based on the amplify-and-forward relaying. We
prove that for general multiple-antenna multiple-relay networks, the proposed
scheme achieves the maximum diversity gain. Furthermore, we derive
diversity-multiplexing tradeoff (DMT) of the proposed RS scheme for general
single-antenna multiple-relay networks. It is shown that for single-antenna
two-hop multiple-access multiple-relay ($K>1$) networks (without direct link
between the transmitter(s) and the receiver), the proposed RS scheme achieves
the optimum DMT. However, for the case of multiple access single relay setup,
we show that the RS scheme reduces to the naive amplify-and-forward relaying
and is not optimum in terms of DMT, while the dynamic decode-and-forward scheme
is shown to be optimum for this scenario.


title: Adams operations and power structures

abstract:
  We construct a family of additive endomorphisms $\Psi_k, k=1, 2...$ of the
Grothendieck ring of quasiprojective varieties and the Grothendieck ring of
Chow motives similar to the Adams operations in the K-theory. The speciality of
the $\lambda$-structure on the Grothendieck ring of motives (proved by F.
Heinloth) gives a set of natural equations for these operations. We discuss
this construction in a general setting and relate it to the concept of power
structures introduced by S. Gusein-Zade, I. Luengo and A. Melle-Hernandez. Some
interpretation of the E. Getzler's formula for the equivariant Hodge-Deligne
polynomial of the configuration spaces is also discussed.


title:
The property of the set of the real numbers generated by a
  Gelfond-Schneider operator and the countability of all real numbers

abstract:
  Considered will be properties of the set of real numbers $\Re$ generated by
an operator that has form of an exponential function of Gelfond-Schneider type
with rational arguments. It will be shown that such created set has cardinal
number equal to ${\aleph_0}^{\aleph_0}=c$. It will be also shown that the same
set is countable. The implication of this contradiction to the countability of
the set of real numbers will be discussed.


title: On the Onset of Stochasticity in $\Lambda$CDM Cosmological Simulations

abstract:
  The onset of stochasticity is measured in $\Lambda$CDM cosmological
simulations using a set of classical observables. It is quantified as the local
derivative of the logarithm of the dispersion of a given observable (within a
set of different simulations differing weakly through their initial
realization), with respect to the cosmic growth factor. In an Eulerian
framework, it is shown here that chaos appears at small scales, where dynamic
is non-linear, while it vanishes at larger scales, allowing the computation of
a critical transition scale corresponding to ~ 3.5 Mpc/h. This picture is
confirmed by Lagrangian measurements which show that the distribution of
substructures within clusters is partially sensitive to initial conditions,
with a critical mass upper bound scaling roughly like the perturbation's
amplitude to the power 0.15. The corresponding characteristic mass, $M_{\rm
crit}=2 10^{13} M_{\odot}$, is roughly of the order of the critical mass of non
linearities at z=1 and accounts for the decoupling induced by the dark energy
triggered acceleration. The sensitivity to detailed initial conditions spills
to some of the overall physical properties of the host halo (spin and velocity
dispersion tensor orientation) while other "global" properties are quite robust
and show no chaos (mass, spin parameter, connexity and center of mass
position). This apparent discrepancy may reflect the fact that quantities which
are integrals over particles rapidly average out details of difference in
orbits, while the other observables are more sensitive to the detailed
environment of forming halos and reflect the non-linear scale coupling
characterizing the environments of halos.


title: Taming the Leibniz Rule on the Lattice

abstract:
  We study a product rule and a difference operator equipped with Leibniz rule
in a general framework of lattice field theory. It is shown that the difference
operator can be determined by the product rule and some initial data through
the Leibniz rule. This observation leads to a no-go theorem that it is
impossible to construct any difference operator and product rule on a lattice
with the properties of (i) translation invariance, (ii) locality and (iii)
Leibniz rule. We present a formalism to overcome the difficulty by an infinite
flavor extension or a matrix expression of a lattice field theory.


title: An asymptotic variant of the Fubini theorem for maps into CAT(0)-spaces

abstract:
  The classical Fubini theorem asserts that the multiple integral is equal to
the repeated one for any integrable function on a product measure space. In
this paper, we derive an asymptotic variant of the Fubini theorem for maps into
CAT$(0)$-spaces from the $L^1$ and $L^2$-concentration of the maps.


title: Casimir Effect for spherical boundaries: A thermofield dynamics approach

abstract:
  The Casimir effect for spherical geometry is calculated using generalized
Thermofield Dynamics for the case of scalar field. Casimir force and Casimir
pressure are presented. It is found that for high temperatures the Casimir
force does change sign.


title:
Discussion: The Dantzig selector: Statistical estimation when $p$ is
  much larger than $n$

abstract:
  Discussion of "The Dantzig selector: Statistical estimation when $p$ is much
larger than $n$" [math/0506081]


title:
Vacuum polarization in asymptotically anti-de Sitter black hole
  geometries

abstract:
  We study the polarization of the vacuum for a scalar field, $<\phi^2 >$, on
an asymptotically anti-de Sitter black hole geometry. The method we follow uses
the WKB analytic expansion and point-splitting regularization, similarly to
previous calculations in the asymptotically flat case. Following standard
procedures, we write the Green function, regularize the initial divergent
expression by point-splitting, renormalize it by subtracting geometrical
counter-terms, and take the coincidence limit in the end. After explicitly
demonstrating the cancellation of the divergences and the regularity of the
Green function, we express the result as a sum of two parts. One is calculated
analytically and the result expressed in terms of some generalized
zeta-functions, which appear in the computation of functional determinants of
Laplacians on Riemann spheres. We also describe some systematic methods to
evaluate these functions numerically. Interestingly, the WKB approximation
naturally organizes $<\phi^2>$ as a series in such zeta-functions. We
demonstrate this explicitly up to next-to-leading order in the WKB expansion.
The other term represents the `remainder' of the WKB approximation and depends
on the difference between an exact (numerical) expression and its WKB
counterpart. This has to be dealt with by means of numerical approximation. The
general results are specialized to the case of Schwarzschild-anti-de Sitter
black hole geometries. The method is efficient enough to solve the
semi-classical Einstein's equations taking into account the back-reaction from
quantum fields on asymptotically anti-de Sitter black holes.


abstract:
  Discussion of ``The Dantzig selector: Statistical estimation when $p$ is much
larger than $n$'' [math/0506081]


title:
Phase diagram and momentum distribution of an interacting Bose gas in a
  bichromatic lattice

abstract:
  We determine the phase diagram and the momentum distribution for a
one-dimensional Bose gas with repulsive short range interactions in the
presence of a two-color lattice potential, with incommensurate ratio among the
respective wave lengths, by using a combined numerical (DMRG) and analytical
(bosonization) analysis. The system displays a delocalized (superfluid) phase
at small values of the intensity of the secondary lattice V2 and a localized
(Bose glass-like) phase at larger intensity V2. We analyze the localization
transition as a function of the height V2 beyond the known limits of free and
hard-core bosons. We find that weak repulsive interactions unfavor the
localized phase i. e. they increase the critical value of V2 at which
localization occurs. In the case of integer filling of the primary lattice, the
phase diagram at fixed density displays, in addition to a transition from a
superfluid to a Bose glass phase, a transition to a Mott-insulating state for
not too large V2 and large repulsion. We also analyze the emergence of a
Bose-glass phase by looking at the evolution of the Mott-insulator lobes when
increasing V2. The Mott lobes shrink and disappear above a critical value of
V2. Finally, we characterize the superfluid phase by the momentum distribution,
and show that it displays a power-law decay at small momenta typical of
Luttinger liquids, with an exponent depending on the combined effect of the
interactions and of the secondary lattice. In addition, we observe two side
peaks which are due to the diffraction of the Bose gas by the second lattice.
This latter feature could be observed in current experiments as characteristics
of pseudo-random Bose systems.


title: Vortex contribution to equilibrium currents

abstract:
  Like orbitals in atoms and molecules, persistent currents may appear in
larger aggregates. Though classically, equilibrium magnetic moment of
non-rotating objects is forbidden, it is known that equilibrium quantum
circulating currents are allowed. Such currents were predicted to be periodic
with the external magnetic field. It is shown that in general, whenever a
periodic component is found, there must be a large aperiodic component forcing
aperiodic contribution to the equilibrium magnetic moment as a function of the
external field.


title:
Discussion: The Dantzig selector: statistical estimation when $p$ is
  much larger than $n$


title: Countable Choice and Compactness

abstract:
  We work in set-theory without choice ZF. Denoting by AC(N) the countable
axiom of choice, we show in ZF+AC(N) that the closed unit ball of a uniformly
convex Banach space is compact in the convex topology (an alternative to the
weak topology in ZF). We prove that this ball is (closely) convex-compact in
the convex topology. Given a set I, a real number p greater or equal to 1
(resp. . p = 0), and some closed subset F of [0, 1]^I which is a bounded subset
of l^p(I), we show that AC(N) (resp. DC, the axiom of Dependent Choices)
implies the compactness of F.


title:
On the concept of switching nonlinearity (a comment on "Switching
  control of linear systems for generating chaos" by X. Liu, K-L. Teo, H. Zhang
  and G. Chen)

abstract:
  It is explained and stressed that the chaotic states in [1] are obtained by
means of nonlinear switching.


title: Effect of linear lumping on controllability and observability

abstract:
  The effect of linear lumping, linear transformation to reduce the number of
state variables on controllability and observability of linear differential
equations has been studied. Controllability of the original system implies the
controllability of the lumped system. Examples taken from reaction kinetics
illustrate our results.


title: Discussion: A tale of three cousins: Lasso, L2Boosting and Dantzig

abstract:
  Discussion of ``The Dantzig selector: Statistical estimation when $p$ is much
larger than $n$'' by Emmanuel Candes and Terence Tao [math/0506081]


title:
Rejoinder: The Dantzig selector: Statistical estimation when $p$ is much
  larger than $n$

abstract:
  Rejoinder to ``The Dantzig selector: Statistical estimation when $p$ is much
larger than $n$'' [math/0506081]


title: Evidence that solar flares drive global oscillations in the Sun

abstract:
  Solar flares are large explosions on the Sun's surface caused by a sudden
release of magnetic energy. They are known to cause local short-lived
oscillations travelling away from the explosion like water rings. Here we show
that the energy in the solar acoustic spectrum is correlated with flares. This
means that the flares drive global oscillations in the Sun in the same way that
the entire Earth is set ringing for several weeks after a major earthquake like
the December 2004 Sumatra-Andaman Earthquake. The correlation between flares
and energy in the acoustic spectrum of disk-integrated sunlight is stronger for
high-frequency waves than for ordinary p-modes which are excited by the
turbulence in the near surface convection zone immediately beneath the
photosphere.


title: Counting Schr\"odinger boundstates: semiclassics and beyond

abstract:
  This is a survey of the basic results on the behavior of the number of the
eigenvalues of a Schr\"odinger operator, lying below its essential spectrum. We
discuss both fast decaying potentials, for which this behavior is
semiclassical, and slowly decaying potentials, for which the semiclassical
rules are violated. Some new results are presented, concerning operators on
product manifolds and graphs.


title: Qubits from tight knots and bent nano-bars

abstract:
  We propose a novel mechanism for creating a qubit based on a tight knot, that
is a nano-quantum wire system so small and so cold as to be quantum coherent
with respect to curvature-induced effects. To establish tight knots as
legitimate candidates for qubits, we propose an effective curvature-induced
potential that produces the two-level system and identify the tunnel coupling
between the two local states. We propose also a different design of
nano-mechanical qubit based on twisted nano-rods. We describe how both devices
can be manipulated. Also we outline possible decoherence channels, detection
schemes and experimental setups.


title: Sharpness of some properties of Wiener amalgam and modulation spaces

abstract:
  We prove sharp estimates for the dilation operator $f(x)\longmapsto f(\lambda
x)$, when acting on Wiener amalgam spaces $W(L^p,L^q)$. Scaling arguments are
also used to prove the sharpness of the known convolution and pointwise
relations for modulation spaces $M^{p,q}$, as well as the optimality of an
estimate for the Schr\"odinger propagator on modulation spaces.


title: Finite sets of $d$-planes in affine space

abstract:
  Let $A$ be a subvariety of affine space $\mathbb{A}^n$ whose irreducible
components are $d$-dimensional linear or affine subspaces of $\mathbb{A}^n$.
Denote by $D(A)\subset\mathbb{N}^n$ the set of exponents of standard monomials
of $A$. We show that the combinatorial object $D(A)$ reflects the geometry of
$A$ in a very direct way. More precisely, we define a $d$-plane in
$\mathbb{N}^n$ as being a set $\gamma+\oplus_{j\in J}\mathbb{N}e_{j}$, where
$#J=d$ and $\gamma_{j}=0$ for all $j\in J$. We call the $d$-plane thus defined
to be parallel to $\oplus_{j\in J}\mathbb{N}e_{j}$. We show that the number of
$d$-planes in $D(A)$ equals the number of components of $A$. This generalises a
classical result, the finiteness algorithm, which holds in the case $d=0$. In
addition to that, we determine the number of all $d$-planes in $D(A)$ parallel
to $\oplus_{j\in J}\mathbb{N}e_{j}$, for all $J$. Furthermore, we describe
$D(A)$ in terms of the standard sets of the intersections
$A\cap\{X_{1}=\lambda\}$, where $\lambda$ runs through $\mathbb{A}^1$.


title:
Cosmological Signatures of the Interaction between Dark-Energy and
  Massive Neutrinos

abstract:
  We investigate whether interaction between massive neutrinos and quintessence
scalar field is the origin of the late time accelerated expansion of the
universe. We present cosmological perturbation theory in neutrinos probe
interacting dark-energy models, and calculate cosmic microwave background
anisotropies and matter power spectrum. In these models, the evolution of the
mass of neutrinos is determined by the quintessence scalar field, which is
responsible for the cosmic acceleration today. We consider several types of
scalar field potentials and put constraints on the coupling parameter between
neutrinos and dark energy. Assuming the flatness of the universe, the
constraint we can derive from the current observation is $\sum m_{\nu} < 0.87
eV$ at the 95 % confidence level for the sum over three species of neutrinos.
We also discuss on the stability issue of the our model and on the impact of
the scattering term in Boltzmann equation from the mass-varying neutrinos.


title: Evolution of the genetic code. Emergence of DNA

abstract:
  This hypothesis can provide an opportunity to trace logically the process of
the emergence of the DNA double helix. AT-enrichment in this hypothesis is main
factor of evolution of DNA double helix from RNA double helix.


title: A note on minimal finite quotients of mapping class groups

abstract:
  We prove that the minimal nontrivial finite quotient group of the mapping
class group M_g of a closed orientable surface of genus g is the symplectic
group PSp(2g,Z_2), for g = 3 and 4 (this might remain true, however, for
arbitrary genus g > 2). We discuss also some results for arbitrary genus g.


title: The effect of rotation on the spectrum of Vega

abstract:
  The discovery that Vega is a rapidly rotating pole-on star has raised a
number of questions about this fundamental standard, including such issues as
its composition, and in turn its mass and age. We report here a reanalysis of
Vega's composition. A full spectral synthesis based on the Roche model derived
earlier from NPOI interferometry is used. We find the line shapes in Vega's
spectrum to be more complex than just flat-bottomed, which have been previously
reported; profiles range from slightly self-reversed to simple ``V'' shapes. A
high SNR spectrum, obtained by stacking spectra from the ELODIE archive, shows
excellent agreement with the calculations, provided we add about 10 km/s of
macroturbulence to the predicted spectra. From the abundance analysis, we find
that Vega shows the peculiar abundance pattern of a \W Bootis star as
previously suggested. We investigate the effects of rotation on the deduced
abundances and show that the dominant ionization states are only slightly
affected compared to analyses using non-rotating models. We argue that the
rapid rotation requires the star be fully mixed. The composition leads to
masses and particularly ages that are quite different compared to what are
usually assumed.


title: Affleck Dine leptogenesis via multiple flat directions

abstract:
  We investigate the Affleck-Dine mechanism when multiple flat directions have
large values simultaneously. We consider in detail the case when both $LH_u$
and $H_uH_d$ flat directions are operative with a non-renormalizable
superpotential. In case Hubble induced A-terms are present for these two flat
directions, their initial values are determined completely by the potential and
there are no ambiguities how they are mixed. Moreover, CP is violated even when
the Hubble parameter is large due to the Hubble induced A-term and cross
coupling in F-term, so that the lepton asymmetry is generated just after the
end of inflation. As a result, compared with the case of single flat direction,
the resultant lepton-to-entropy ratio is enhanced by a factor of
$H_{osc}/m_{3/2}$, where $H_{osc}$ is the Hubble parameter at the onset of
oscillation and $m_{3/2}$ is the gravitino mass. However, when Hubble induced
A-terms do not exist, there remains indefiniteness of initial phases and CP is
violated spontaneously by the phase difference between initial phase and
potential minima of the hidden-sector induced A-terms. Therefore, CP-violation
is not effective until the onset of the oscillation of scalar fields around the
origin and there is suppression factor from thermal effect as is the case of
single flat direction. In this case, the amplitude of baryon isocurvature
perturbation imposes constraints on the model parameters.


title: Polynomial Structures in One-Loop Amplitudes

abstract:
  A general one-loop scattering amplitude may be expanded in terms of master
integrals. The coefficients of the master integrals can be obtained from
tree-level input in a two-step process. First, use known formulas to write the
coefficients of (4-2epsilon)-dimensional master integrals; these formulas
depend on an additional variable, u, which encodes the dimensional shift.
Second, convert the u-dependent coefficients of (4-2epsilon)-dimensional master
integrals to explicit coefficients of dimensionally shifted master integrals.
This procedure requires the initial formulas for coefficients to have
polynomial dependence on u. Here, we give a proof of this property in the case
of massless propagators. The proof is constructive. Thus, as a byproduct, we
produce different algebraic expressions for the scalar integral coefficients,
in which the polynomial property is apparent. In these formulas, the box and
pentagon contributions are separated explicitly.


title: Loschmidt echo and Berry phase around degeneracies in nonlinear systems

abstract:
  We study the Loschmidt echo and Berry phase in a nonlinear system transported
around a double and triple degeneracy. The nonlinearity of the system makes the
Berry phase different from that in linear systems. We propose a witness of
nonlinearity for the nonlinear system and show its dependence on the parameters
of the system, taking the standard Landau-Zener model as an example. We
calculate the Loschmidt echo(LE) or quantum fidelity in the quantum dynamics
under perturbations around the degeneracy, and establish a connection between
the LE and the witness of nonlinearity. These phases and Loschmidt echo can be
observed with current experimental technology in a nonlinear resonator.


title:
Warped generalized geometry compactifications, effective theories and
  non-perturbative effects

abstract:
  Summarizing the results of arXiv:0707.1038, we discuss the four-dimensional
effective approach to type II N=1 supersymmetric flux compactifications with
general SU(3)x SU(3)-structure. In particular, we study the effect of a
non-trivial warp factor, which we argue leads naturally to a supergravity
formulation invariant under local complexified Weyl transformations. We show
that the full ten-dimensional supersymmetry equations can be obtained as
F-flatness and D-flatness conditions from the superpotential and Kaehler
potential. We then consider non-perturbative corrections to these supersymmetry
conditions, following from adding instanton or gaugino condensation effects to
the superpotential. As examples, we show how smeared instantons allow to
understand the ten-dimensional geometry of KKLT-like AdS vacua and we give an
explanation for the superpotential for "mobile" D3-branes in terms of a
non-perturbatively induced generalized complex structure.


title:
Two opinions dynamics generated by inflexibles and non-contrarian and
  contrarian floaters

abstract:
  We assume a community whose members adopt one of two opinions $A$ or $B$.
Each member appears as an inflexible, or as a non-contrarian or contrarian
floater. An inflexible sticks to its opinion, whereas a floater may change into
a floater of the alternative opinion. The occurrence of this change is governed
by the local majority rule: members meet in groups of a fixed size, and a
floater then changes its opinion provided it is a minority in the group.
Subsequently, a non-contrarian floater keeps the opinion as adopted under the
local majority rule, whereas a contrarian floater adopts the alternative
opinion. Whereas the effects of on the one hand inflexibles and on the other
hand non-contrarians and contrarians have previously been studied seperately,
the current approach allows us to gain insight in the effect of their combined
presence in a community. Given fixed proportions of inflexibles $(\alpha_{A},
\alpha_{B})$ for the two opinions, and fixed fractions of contrarians
$(\gamma_{A}, \gamma_{B})$ among the $A$ and $B$ floaters, we derive the update
equation $p_{t+1}$ for the overall support for opinion $A$ at time $t+1$, given
$p_{t}$. The update equation is derived respectively for local group sizes 1, 2
and 3. The associated dynamics generated by repeated local updates is then
determined to identify its asymptotic steady configuration. The full opinion
flow diagram is thus obtained, showing conditions in terms of the parameters
for each opinion to eventually win the competing dynamics. Various dynamical
scenarios are thus exhibited, and it is derived that relatively small densities
of inflexibles allow for more variation in the qualitative outcome of the
dynamics than higher densities of inflexibles.


title:
Equivalence of critical scaling laws for many-body entanglement in the
  Lipkin-Meshkov-Glick model

abstract:
  We establish a relation between several entanglement properties in the
Lipkin-Meshkov-Glick model, which is a system of mutually interacting spins
embedded in a magnetic field. We provide analytical proofs that the single-copy
entanglement and the global geometric entanglement of the ground state close to
and at criticality behave as the entanglement entropy. These results are in
deep contrast to what is found in one- dimensional spin systems where these
three entanglement measures behave differently.


title: A back-reaction approach to dark energy

abstract:
  This thesis is mainly about how to set up and carry out in a physically
meaningful way the idea of back-reaction, according to which dark energy could
be an effective source. There are, broadly speaking, two distinct approaches.
One is focused on how cosmological observables are affected by inhomogeneities,
while the other is focused on a theoretical description of the inhomogeneous
universe by means of a mean-field description. Both approaches, however, share
the idea of smoothing out inhomogeneities. We developed this duality in the
interpretation of the back-reaction by means of toy models based on the
Lemaitre-Tolman-Bondi solution of Einstein's equations. In particular we
focused on voids expanding faster than the background solution.


title: Non-inertial lateral migration of vesicles in bounded Poiseuille flow

abstract:
  Cross-streamline non-inertial migration of a vesicle in a bounded Poiseuille
flow is investigated experimentally and numerically. The combined effects of
the walls and of the curvature of the velocity profile induce a movement
towards the center of the channel. A migration law (as a function of relevant
structural and flow parameters) is proposed that is consistent with
experimental and numerical results. This similarity law markedly differs from
its analogue in unbounded geometry. The dependency on the reduced volume $\nu$
and viscosity ratio $\lambda$ is also discussed. In particular, the migration
velocity becomes non monotonous as a function of $\nu$ beyond a certain
$\lambda$.


title:
The Stellar Initial Mass Function in 2007: A Year for Discovering
  Variations

abstract:
  The characteristic mass M_c and slope Gamma of the IMF are reviewed for
clusters, field regions, galaxies, and regions formed during cosmological
times. Local star formation has a somewhat uniform M_c and Gamma. Statistical
variations in Gamma are summarized, as are the limitations imposed by these
variations. Cosmological star formation appears to have both a higher M_c and a
slightly shallower slope at intermediate to high stellar mass. The center of
the Milky Way may have a shallow slope too. Field regions have slightly steeper
slopes than clusters, but this could be the result of enhanced drift of low
mass stars out of clusters and associations. Dwarf galaxies also have steeper
slopes. Results from the observation of pre-stellar clumps are reviewed too.
Pre-stellar clumps appear to have about the same mass function as stars and are
therefore thought to be the main precursors to stars. If this is the case, then
the IMF is generally determined by gas-phase processes. Brown dwarf formation
also shares many characteristics of star formation, suggesting that they form
by similar mechanisms.


title:
Off-equatorial orbits in strong gravitational fields near compact
  objects

abstract:
  Near a black hole or an ultracompact star, motion of particles is governed by
strong gravitational field. Electrically charged particles feel also
electromagnetic force arising due to currents inside the star or plasma
circling around. We study a possibility that the interplay between
gravitational and electromagnetic action may allow for stable, energetically
bound off-equatorial motion of charged particles. This would represent
well-known generalized Stormer's 'halo' orbits, which have been discussed in
connection with the motion of dust grains in planetary magnetospheres. We
demonstrate that such orbits exist and can be astrophysically relevant when a
compact star or a black hole is endowed with a dipole-type magnetic field. In
the case of Kerr-Newman solution, numerical analysis shows that the mutually
connected gravitational and electromagnetic fields do not allow existence of
stable halo orbits above the outer horizon of black holes. Such orbits are
either hidden under the inner black-hole horizon, or they require the presence
of a naked singularity.


title: Quark-hadron phase transition in a magnetic field

abstract:
  Quark-hadron phase transition in QCD in the presence of magnetic field is
studied. It is shown that both the temperature of a phase transition and latent
heat decrease compared to the case of zero magnetic field. The phase diagram in
the plane temperature--magnetic field is presented. Critical point, T_\ast=104
MeV, \sqrt{eH_\ast}=600 MeV, for which the latent heat goes to zero, is found.


title:
Local Symmetries and Order-Disorder Transitions in Small Macroscopic
  Wigner Islands

abstract:
  The influence of local order on the disordering scenario of small Wigner
islands is discussed. A first disordering step is put in evidence by the time
correlation functions and is linked to individual excitations resulting in
configuration transitions, which are very sensitive to the local symmetries.
This is followed by two other transitions, corresponding to orthoradial and
radial diffusion, for which both individual and collective excitations play a
significant role. Finally, we show that, contrary to large systems, the focus
that is commonly made on collective excitations for such small systems through
the Lindemann criterion has to be made carefully in order to clearly identify
the relative contributions in the whole disordering process.


title:
Solar and Stellar Active Regions:Cosmic laboratories for the study of
  Complexity

abstract:
  Solar active regions are driven dissipative dynamical systems. The turbulent
convection zone forces new magnetic flux tubes to rise above the photosphere
and shuffles the magnetic fields which are already above the photosphere. The
driven 3D active region responds to the driver with the formation of Thin
Current Sheets in all scales and releases impulsively energy, when special
thresholds are met, on the form of nano-, micro-, flares and large scale
coronal mass ejections. It has been documented that active regions form self
similar structures with area Probability Distribution Functions (PDF's)
following power laws and with fractal dimensions ranging from $1.2-1.7$. The
energy release on the other hand follows a specific energy distribution law
$f(E_T)\sim E_T^{-a}$, where $a \sim 1.6-1.8$ and $E_T$ is the total energy
released. A possible explanation for the statistical properties of the
magnetogrms and the energy release by the active region is that the magnetic
field formation follows rules analogous to \textbf{percolating models}, and the
3D magnetic fields above the photosphere reach a \textbf{Self Organized
Critical (SOC) state}. The implications of these findings on the acceleration
of energetic particles during impulsive phenomena will briefly be outlined.


title: An anisotropic integral operator in high temperature superconductivity

abstract:
  A simplified model in superconductivity theory studied by P. Krotkov and A.
Chubukov \cite{KC1,KC2} led to an integral operator $K$ -- see (1), (2). They
guessed that the equation $E_0(a,T)=1$ where $E_0$ is the largest eigenvalue of
the operator $K$ has a solution $T(a)=1-\tau(a)$ with $\tau (a) \sim a^{2/5}$
when $a$ goes to 0. $\tau(a)$ imitates the shift of critical (instability)
temperature. We give a rigorous analysis of an anisotropic integral operator
$K$ and prove the asymptotic ($*$) -- see Theorem 8 and Proposition 10.
Additive Uncertainty Principle (of Landau-Pollack-Slepian [SP], \cite{LP1,LP2})
plays important role in this analysis.


title: Invariance Properties of Inviscid Fluids of Grade n

abstract:
  Fluids of grade n are continuous media in dynamic changes of phases avoiding
the surfaces of discontinuity and representing the capillary layers in
liquid-vapour interfaces. We recall the thermodynamic form of the equation of
motion for inviscid fluids of grade n. First integrals and theorems of
circulation are deduced. A general classification of flows is proposed.


title: Nucleosynthesis and Evolution of Massive Metal-Free Stars

abstract:
  The evolution and explosion of metal-free stars with masses 10--100 solar
masses are followed, and their nucleosynthetic yields, light curves, and
remnant masses determined. When the supernova yields are integrated over a
Salpeter initial mass function, the resulting elemental abundance pattern is
qualitatively solar, but with marked deficiencies of odd-Z elements with 7 <= Z
<= 13. Neglecting the contribution of the neutrino wind from the neutron stars
that they make, no appreciable abundances are made for elements heavier than
germanium. The computed pattern compares favorably with what has been observed
in metal-deficient stars with [Z] ~< -3. Most of the stars end their lives as
blue supergiants and make supernovae with distinctive light curves resembling
SN 1987A, but some produce primary nitrogen by dredge up and become red
supergiants. A novel automated fitting algorithm is developed for determining
optimal combinations of explosion energy, mixing, and initial mass function in
the large model data base to agree with specified data sets. The model is
applied to the low metallicity sample of Cayrel et al. (2004) and the two
ultra-iron-poor stars HE0107-5240 and HE1327-2326. Best agreement with these
low metallicity stars is achieved with very little mixing, and none of the
metal-deficient data sets considered show the need for a high energy explosion
component. To the contrary, explosion energies somewhat less than 1.2 B seem to
be preferred in most cases. (abbreviated)


title:
Accurate Effective-One-Body waveforms of inspiralling and coalescing
  black-hole binaries

abstract:
  The Effective-One-Body (EOB) formalism contains several flexibility
parameters, notably $a_5$, $\vp$ and $\a$. We show here how to jointly
constrain the values of these parameters by simultaneously best-fitting the EOB
waveform to two, independent, numerical relativity (NR) simulations of
inspiralling and/or coalescing binary black hole systems: published
Caltech-Cornell {\it inspiral} data (considered for gravitational wave
frequencies $M\omega\leq 0.1$) on one side, and newly computed {\it
coalescence} data on the other side. The resulting, approximately unique,
"best-fit" EOB waveform is then shown to exhibit excellent agreement with NR
coalescence data for several mass ratios. The dephasing between this best-fit
EOB waveform and published Caltech-Cornell inspiral data is found to vary
between -0.0014 and +0.0008 radians over a time span of $\sim 2464M$ up to
gravitational wave frequency $M\omega= 0.1$, and between +0.0013 and -0.0185
over a time span of 96M after $M\omega=0.1$ up to $M\omega=0.1565$. The
dephasings between EOB and the new coalescence data are found to be smaller
than: (i) $\pm 0.025$ radians over a time span of 730M (11 cycles) up to
merger, in the equal mass case, and (ii) $\pm 0.05$ radians over a time span of
about 950M (17 cycles) up to merger in the 2:1 mass-ratio case. These new
results corroborate the aptitude of the EOB formalism to provide accurate
representations of general relativistic waveforms, which are needed by
currently operating gravitational wave detectors.


title: Phantom dark energy with tachyonic instability: metric perturbations

abstract:
  We study the behavior of metric perturbations in a recently proposed model of
phantom dark energy with tachyonic instability at long wavelengths. We find
that metric perturbations exponentially grow in time, starting from very small
values determined by vacuum fluctuations, and may become sizeable at late
times. This property may be of interest for phenomenology.


title: Symmetric jump processes: localization, heat kernels, and convergence

abstract:
  We consider symmetric processes of pure jump type. We prove local estimates
on the probability of exiting balls, the H\"older continuity of harmonic
functions and of heat kernels, and convergence of a sequence of such processes.


title: Documentation for the ratpoints program

abstract:
  This note explains how to obtain, install, and use the ratpoints program. The
program finds rational points up to a specified height on hyperelliptic curves
using a highly optimized quadratic sieving algorithm.


title:
Equiconvergence theorems for Sturm--Liouville operators with
  distribution potentials^ the rate of equiconvergence

abstract:
  We consider a Sturm--Liouville operator $Ly=-y''+qy$ in $L_2[0,\pi]$ with
Dirichlet boundary conditions. We assume, that the potential $q$ is complex
valued and belongs to Sobolev space $W_2^\theta[0,\pi]$, $\theta\in(-1,-1/2$.
This operators were successfully defined in papers of Savchuk A.M. and
Shkalikov A.A. There were also shown, that theese operators have a discrete
spectrum, which we denote by $\{\lambda_n\}$, and $\lim\lambda_n=+\infty$. All
but finitely many of them are simple. The eigenfunctions form the Riesz basis
in $L_2[0,\pi]$. We investigate a uniform on $[0,\pi]$ equiconvergence of
series for this system and for trigonometric system $\{\sin(nt)\}_1^\infty$. We
obtain not only a theorems of equiconvergence, but also estimate a rate of this
equiconvergence.


title:
An inquiry into the reproduction of physics-phobic children by
  physics-phobic teachers

abstract:
  Recently in the authors' country Japan, the unpopularity of natural science
among children has been a serious problem. Especially, physics is unpopular
because physics requires mathematics. One of the reasons of this problem is
that teachers themselves do not like physics. We focus our attention on the
``teachers in embryo'', namely the undergraduate students in a course for
school teachers. We conducted a questionnaire and a quiz on the undergraduate
students in the first grade of the Department of Science Education, Ibaraki
University. We report the result of the questionnaire and the quiz, and also
make suggestions to improve the present situation.


title: Non-equilibrium hydrodynamics of a rotating filament

abstract:
  The nonlinear dynamics of an elastic filament that is forced to rotate at its
base is studied by hydrodynamic simulation techniques; coupling between
stretch, bend, twist elasticity and thermal fluctuations is included. The
twirling-overwhirling transition is located and found to be strongly
discontinuous. For finite bend and twist persistence length, thermal
fluctuations lower the threshold rotational frequency, for infinite persistence
length the threshold agrees with previous analytical predictions.


title: Combined analysis of eta meson hadro- and photo-production off nucleons

abstract:
  The $\eta$-meson production in photon- and hadron-induced reactions, namely,
$\gamma p \to p \eta$, $\pi^- p \to n \eta$, $pp \to pp\eta$, and $pn \to
pn\eta$, are investigated in a combined analysis in order to learn about the
relevant production mechanisms and the possible role of nucleon resonances in
these reactions. We consider the nucleonic, mesonic, and nucleon resonance
currents constructed within an effective Lagrangian approach and compare the
results with the available data for cross sections and spin asymmetries for
these reactions. We found that the reaction $\gamma p \to p \eta$ could be
described well with the inclusion of the well-established $S_{11}(1535)$,
$S_{11}(1650)$, $D_{13}(1520)$, and $D_{13}(1700)$ resonances, in addition to
the mesonic current. Consideration of other well-established resonances in the
same mass region, including the spin-5/2 resonances, $D_{15}(1675)$ and
$F_{15}(1680)$, does not further improve the results qualitatively. For the
reaction $\pi^- p \to n \eta$, the $P_{13}(1720)$ resonance is found to be
important for reproducing the structure observed in the differential cross
section data. Our model also improves the description of the reaction $NN \to
NN\eta$ to a large extent compared to the earlier results by Nakayama
\textit{et al.} [Phys.\ Rev.\ C \textbf{68}, 045201 (2003)]. For this reaction,
we address two cases where either the $S_{11}(1535)$ or the $D_{13}$ dominates.
Further improvement in the description of these reactions and the difficulty to
uniquely determine the nucleon resonance parameters in the present type of
analysis are discussed.


title:
Bari-Markus property for Riesz projections of Hill operators with
  singular potentials

abstract:
  The Hill operators $L y = - y^{\prime \prime} + v(x) y, x \in [0,\pi],$ with
$H^{-1}$ periodic potentials, considered with periodic, antiperiodic or
Dirichlet boundary conditions, have discrete spectrum, and therefore, for
sufficiently large $N,$ the Riesz projections $$
  P_n = \frac{1}{2\pi i} \int_{C_n} (z-L)^{-1} dz, \quad C_n=\{z: |z-n^2|= n\}
$$ are well defined. It is proved that $$\sum_{n>N} \|P_n - P_n^0\|^2_{HS} <
\infty, $$ where $P_n^0$ are the Riesz projection of the free operator and
$\|\cdot\|_{HS}$ is the Hilbert--Schmidt norm.


title: H-Dibaryon from Lattice QCD with Improved Anisotropic Actions

abstract:
  The six quark state(uuddss) called H dibaryon($J^P=0^+$,$S=-2$) has been
calculated to study its existence and stability. The simulations are performed
in quenched QCD on $8^3 \times 24$ and $16^3 \times 48$ anisotropic lattices
with Symanzik improved gauge action and Clover fermion action. The gauge
coupling is $\beta=2.0$ and aspect ratio $\xi=a_s/a_t=3.0$. Preliminary results
indicate that mass of H dibaryon is 2134(100)Mev on $8^3 \times 24$ lattice and
2167(59)Mev on $16^3 \times 48$ respectively. It seems that the radius of H
dibaryon is very large and the finite size effect is very obvious.


title: Qubit channels with small correlations

abstract:
  We introduce a class of quantum channels with correlations acting on pairs of
qubits, where the correlation takes the form of a shift operator onto a
maximally entangled state. We optimise the output purity and show that below a
certain threshold the optimum is achieved by partially entangled states whose
degree of entanglement increases monotonically with the correlation parameter.
Above this threshold, the optimum is achieved by the maximally entangled state
characterizing the shift. Although, a full analysis can only be done for the
2-norm, both numerical and heuristic arguments indicate that this behavior and
the optimal inputs are independent of p>1 when the optimal output purity is
measured using the p-norm.


title: Bose Fluids Above Tc

abstract:
  This paper emphasizes that non-linear rotational or diamagnetic
susceptibility is characteristic of Bose fluids above their superfluid Tcs. For
sufficiently slow rotation or, for superconductors, weak B-fields this amounts
to an incompressible response to vorticity. The cause is that there are terms
missing in the conventionally accepted model Hamiltonian for quantized vortices
in the Bose fluid. The resulting susceptibility can account for recent
observations of Chan et al on solid He, and Ong et al on cuprate
superconductors.


title:
Induced Triplet Pairing in clean s-wave Superconductor/Ferromagnet
  layered structures

abstract:
  We study induced triplet pairing correlations in clean
ferromagnet/superconductor/ferromagnet heterostructures. The pairing state in
the superconductor is the conventional singlet s-wave, and the angle $\alpha$
between the magnetizations of the two ferromagnetic layers is arbitrary. We use
a numerical fully self-consistent solution of the microscopic equations and
obtain the time-dependent triplet correlations via the Heisenberg equations of
motion. We find that in addition to the usual singlet correlations, triplet
correlations, odd in time as required by the Pauli principle, are induced in
both the ferromagnets and the superconductor. These time-dependent correlations
are largest at times of order of the inverse of the Debye cutoff frequency,
$\omega_D$, and we find that within that time scale they are often spatially
very long ranged. We discuss the behavior of the characteristic penetration
lengths that describe these triplet correlations. We also find that the
ferromagnets can locally magnetize the superconductor near the interface, and
that the local magnetization then undergoes strongly damped oscillations. The
local density of states exhibits a variety of energy signatures, which we
discuss, as a function of ferromagnetic strength and $\alpha$.


title: Borg-Marchenko-type Uniqueness Results for CMV Operators

abstract:
  We prove local and global versions of Borg-Marchenko-type uniqueness theorems
for half-lattice and full-lattice CMV operators (CMV for Cantero, Moral, and
Velazquez \cite{CMV03}). While our half-lattice results are formulated in terms
of Weyl-Titchmarsh functions, our full-lattice results involve the diagonal and
main off-diagonal Green's functions.


title: A binary signature in the non-thermal radio-emitter Cyg OB2 #9

abstract:
  Aims: Non-thermal radio emission associated with massive stars is believed to
arise from a wind-wind collision in a binary system. However, the evidence of
binarity is still lacking in some cases, notably Cyg OB2 #9 Methods: For
several years, we have been monitoring this heavily-reddened star from various
observatories. This campaign allowed us to probe variations both on short and
long timescales and constitutes the first in-depth study of the visible
spectrum of this object. Results: Our observations provide the very first
direct evidence of a companion in Cyg OB2 #9, confirming the theoretical
wind-wind collision scenario. These data suggest a highly eccentric orbit with
a period of a few years, compatible with the 2yr-timescale measured in the
radio range. In addition, the signature of the wind-wind collision is very
likely reflected in the behaviour of some emission lines.


title:
Local Spectral Properties of Reflectionless Jacobi, CMV, and
  Schr\"odinger Operators

abstract:
  We prove that Jacobi, CMV, and Schr\"odinger operators, which are
reflectionless on a homogeneous set E (in the sense of Carleson), under the
assumption of a Blaschke-type condition on their discrete spectra accumulating
at E, have purely absolutely continuous spectrum on E.


title:
Essential Closures and AC Spectra for Reflectionless CMV, Jacobi, and
  Schr\"odinger Operators Revisited

abstract:
  We provide a concise, yet fairly complete discussion of the concept of
essential closures of subsets of the real axis and their intimate connection
with the topological support of absolutely continuous measures.
  As an elementary application of the notion of the essential closure of
subsets of $\bbR$ we revisit the fact that CMV, Jacobi, and Schr\"odinger
operators, reflectionless on a set E of positive Lebesgue measure, have
absolutely continuous spectrum on the essential closure of the set E (with
uniform multiplicity two on E). Though this result in the case of Schr\"odinger
and Jacobi operators is known to experts, we feel it nicely illustrates the
concept and usefulness of essential closures in the spectral theory of classes
of reflectionless differential and difference operators.


title:
Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and
  Krein-Type Resolvent Formulas for Schr\"odinger Operators on Bounded
  Lipschitz Domains

abstract:
  We study generalized Robin boundary conditions, Robin-to-Dirichlet maps, and
Krein-type resolvent formulas for Schr\"odinger operators on bounded Lipschitz
domains in $\bbR^n$, $n\ge 2$. We also discuss the case of bounded
$C^{1,r}$-domains, $(1/2)<r<1$.


title:
Understanding Distal Transcriptional Regulation from Sequence Motif,
  Network Inference and Interactome Perspectives

abstract:
  Gene regulation in higher eukaryotes involves a complex interplay between the
gene proximal promoter and distal genomic elements (such as enhancers) which
work in concert to drive spatio-temporal expression. The experimental
characterization of gene regulatory elements is a very complex and
resource-intensive process. One of the major goals in computational biology is
the \textit{in-silico} annotation of previously uncharacterized elements using
results from the subset of known, annotated, regulatory elements.
  The computational annotation of these hitherto uncharacterized regions would
require an identification of features that have good predictive value for
regulatory behavior.
  In this work, we study transcriptional regulation as a problem in
heterogeneous data integration, across sequence, expression and interactome
level attributes. Using the example of the \textit{Gata2} gene and its recently
discovered urogenital enhancers \cite{Khandekar2004} as a case study, we
examine the predictive value of various high throughput functional genomic
assays in characterizing these enhancers and their regulatory role. Observing
results from the application of modern statistical learning methodologies for
each of these data modalities, we propose a set of attributes that are most
discriminatory in the localization and behavior of these enhancers.


title:
The nature of the nearest compact group of galaxies from precise
  distance measurements

abstract:
  Compact groups (CGs) of galaxies, similar to those catalogued by Hickson,
appear to be the densest galaxy structures in the Universe. Redshift
information is insufficient to determine whether a CG is roughly as dense in 3D
as it appears in projection, or whether it is caused by a chance alignment (CA)
along the line of sight within a larger galaxy system. Recent precise distance
measurements help probe the nature of the nearest CG, situated in the Virgo
cluster, whose dominant member is M60. The isolated status of the CG is
reassessed with recent photometry and a statistical analysis is performed on
the surface brightness fluctuation (SBF) distances measured by Mei et al. in
Virgo, for 4 of the 5 CG members. The neighboring galaxy NGC 4606 appears (with
80-90% confidence) to be too faint to affect the isolated status of the CG.
Taken at face value, the SBF distances suggest that M59 and NGC 4660 lie
roughly 2 Mpc to the foreground of M60, NGC 4638, and the bulk of the Virgo
cluster. The statistical analysis confirms that the CG is, indeed, the result
of a CA of its galaxies, with NGC 4638 lying at least 800 kpc further away
(with 99% confidence) than either M59 or NGC 4660. The first two galaxy
distances are consistent with M59 and NGC 4660 constituting a tight pair. The
dominant galaxy, M60, is at least 440 kpc more distant (95% confidence) than
the M59+NGC 4660 pair, and over 1 Mpc (99% confidence) more distant if one uses
the broken linear calibration of the SBF distances. This work constitutes the
first direct analysis of the nature of a compact group of galaxies. CAs of
galaxies represent a realistic alternative to truly dense groups to explain the
nature of CGs. With current SBF distance accuracies, one could determine the
nature of HCG 68 in the same way.


title: Optical Evidence for Mixed Phase Behavior in Manganites

abstract:
  Synchrotron infrared measurements were conducted over the range 100 to 8000
cm-1 on a self-doped LaxMnO3-d (x~~0.8) film. From these measurements we
determined the conductivity, the effective number of free carriers, and the
specific phonon modes as a function of frequency. While the metal-insulator
transition temperature (TMI) and the magnetic ordering temperature (TC)
approximately coincide, the free carrier density onset occurs at a
significantly lower temperature (~~45 K below). This suggests that local
distortions exist below TMI and TC which trap the eg conduction electrons.
These regions with local distortions constitute an insulating phase which
persists for temperatures significantly below TMI and TC. The initial large
drop in resistivity is due to the enhanced magnetic ordering while further
drops correspond to reductions in the insulating phase which increase the
number of free carriers.


title: Deutsch Algorithm on Classical Circuits

abstract:
  The well-known Deutsch Algorithm (DA) and Deutsch-Jozsha Algorithm (DJA) both
are used as an evidence to the power of quantum computers over classical
computation mediums. In these theoretical experiments, it has been shown that a
quantum computer can find the answer with certainty within a few steps although
classical electronic systems must evaluate more iterations than quantum
computer. In this paper, it is shown that a classical computation system formed
by using ordinary electronic parts may perform the same task with equal
performance than quantum computers. DA and DJA quantum circuits act like an
analog computer, so it is unfair to compare the bit of classical digital
computers with the qubit of quantum computers. An analog signal carrying wire
will of course carry more information that a bit carrying wire without serial
communication protocols.


title:
Line intensity enhancements in stellar coronal X-ray spectra due to
  opacity effects

abstract:
  Context. The I(15.01 A)/I(16.78 A) emission line intensity ratio in Fe XVII
has been reported to deviate from its theoretical value in solar and stellar
X-ray spectra. This is attributed to opacity in the 15.01 A line, leading to a
reduction in its intensity, and was interpreted in terms of a geometry in which
the emitters and absorbers are spatially distinct. Aims. We study the I(15.01
A)/I(16.78 A) intensity ratio for the active cool dwarf EV Lac, in both flare
and quiescent spectra. Methods. The observations were obtained with the
Reflection Grating Spectrometer on the XMM-Newton satellite. The emission
measure distribution versus temperature reconstruction technique is used for
our analysis. Results. We find that the 15.01 A line exhibits a significant
enhancement in intensity over the optically thin value. To our knowledge, this
is the first time that such an enhancement has been detected on such a sound
statistical basis. We interpret this enhancement in terms of a geometry in
which the emitters and absorbers are not spatially distinct, and where the
geometry is such that resonant pumping of the upper level has a greater effect
on the observed line intensity than resonant absorption in the line-of-sight.


title:
Degeneracy and Consistency Condition of Berry phases: Gap Closing under
  the Twist

abstract:
  We have discussed a consistency condition of Berry phases defined by a local
gauge twist and spatial symmetries of the many body system. It imposes a non
trivial gap closing condition under the gauge twist in both finite- and
infinite-size systems. It also implies a necessary condition for the gapped and
unique ground state. As for the simplest case, it predicts an inevitable gap
closing in the Heisenberg chain of half integer spins. Its relation to the
Lieb-Schultz-Mattis theorem is discussed based on the symmetries of the twisted
Hamiltonian. The discussion is also extended to the (approximately) degenerated
multiplet and fermion cases. It restricts the number of the states in the low
energy cluster of the spectrum by the filling of the fermions. Constraints by
the reflection symmetry are also discussed.


title:
Towards a human eye behavior model by applying Data Mining Techniques on
  Gaze Information from IEC

abstract:
  In this paper, we firstly present what is Interactive Evolutionary
Computation (IEC) and rapidly how we have combined this artificial intelligence
technique with an eye-tracker for visual optimization. Next, in order to
correctly parameterize our application, we present results from applying data
mining techniques on gaze information coming from experiments conducted on
about 80 human individuals.


title: Labeled Natural Deduction Systems for a Family of Tense Logics

abstract:
  We give labeled natural deduction systems for a family of tense logics
extending the basic linear tense logic Kl. We prove that our systems are sound
and complete with respect to the usual Kripke semantics, and that they possess
a number of useful normalization properties (in particular, derivations reduce
to a normal form that enjoys a subformula property). We also discuss how to
extend our systems to capture richer logics like (fragments of) LTL.


title: General properties of the evolution of unstable states at long times

abstract:
  An effect generated by the nonexponential behavior of the survival amplitude
of an unstable state at the long time region is considered. It is known that
this amplitude tends to zero as $t$ goes to the infinity more slowly than any
exponential function of $t$. Using methods of asymptotic analysis we find the
asymptotic form of this amplitude in the long time region in a general model
independent case. We find that the long time behavior of this amplitude affects
the form of the energy of unstable states: This energy should be much smaller
for suitably long times $t$ than the energy of this state for $t$ of the order
of the lifetime of the considered unstable state.


title: Five Dimensional Non-Supersymmetric Black Holes and Strings

abstract:
  We study non-supersymmetric solutions of five dimensional N=2 supergravity
theories coupled to an arbitrary number of abelian vector multiplets. The
solutions constructed can be considered as deformations of known supersymmetric
black hole and string solutions. General constraints coming from the analysis
of the equations of motion are derived. These represent explicit conditions on
the charges of the black holes and strings. The constraints are analyzed for
theories where the scalar manifolds are symmetric spaces and explicit solutions
are constructed in cases where the prepotential of the theory factorizes into a
linear and a quadratic term.


title: Light baryon masses with dynamical twisted mass fermions

abstract:
  We present results on the mass of the nucleon and the Delta using two
dynamical degenerate twisted mass quarks and the tree-level Symanzik improved
gauge action. The evaluation is performed at four quark masses corresponding to
a pion mass in the range of about 300-600 MeV on lattices of 2.1-2.7 fm. We
check for cut-off effects by evaluating these baryon masses on lattices of
spatial size 2.1 fm at beta=3.9 and beta=4.05 and on a lattice of 2.4 fm at
beta=3.8. The values we find are compatible within our statistical errors.
Lattice results are extrapolated to the physical limit using continuum chiral
perturbation theory. Performing a combined fit to our lattice data at beta=3.9
and beta=4.05 we find a nucleon mass of 964\pm 28 (stat.) \pm 8 (syst.) MeV.
The nucleon mass at the physical point provides an independent determination of
the lattice spacing. Using heavy baryon chiral perturbation theory at O(p^3) we
find a_{\beta=3.9}=0.0890\pm 0.0039(stat.) \pm 0.0014(syst.) fm, and
a_{\beta=4.05}= 0.0691\pm 0.0034(stat.) \pm 0.0010(syst.) fm, in good agreement
with the values determined from the pion decay constant. Isospin violating
lattice artifacts in the Delta-system are found to be compatible with zero for
the values of the lattice spacings used in this work. Performing a combined fit
to our lattice data at beta=3.9 and beta=4.05 we find for the masses of the
Delta^{++,-} and Delta^{+,0} 1316 \pm 60 (stat.) MeV and 1330 \pm 74 (stat.)
MeV respectively. We confirm that in the continuum limit they are also
degenerate.


title:
Reduced carbon solubility in Fe nano-clusters and implications for the
  growth of single-walled carbon nanotubes

abstract:
  Various diameters of alumina-supported Fe catalysts are used to grow
single-walled carbon nanotubes (SWCNTs) with chemical vapor decomposition. We
find that the reduction of the catalyst size requires an increase of the
minimum temperature necessary for the growth. We address this phenomenon in
terms of solubility of C in Fe nanoclusters and, by using first principles
calculations, we devise a simple model to predict the behavior of the phases
competing for stability in Fe-C nano-clusters at low temperature. We show that,
as a function particles size, there are three scenarios compatible with steady
state-, limited- and no-growth of SWCNTs, corresponding to unaffected, reduced
and no solubility of C in the particles. The result raises previously unknown
concerns about the growth feasibility of small and very-long SWCNTs within the
current Fe CVD technology, and suggests new strategies in the search of better
catalysts.


title:
Eye-Tracking Evolutionary Algorithm to minimize user's fatigue in IEC
  applied to Interactive One-Max problem

abstract:
  In this paper, we describe a new algorithm that consists in combining an
eye-tracker for minimizing the fatigue of a user during the evaluation process
of Interactive Evolutionary Computation. The approach is then applied to the
Interactive One-Max optimization problem.


title:
Intrinsic electric polarization in spin-orbit coupled semiconductor
  heterostructures

abstract:
  We present Maxwell equations with source terms for the electromagnetic field
interacting with a moving electron in a spin-orbit coupled semiconductor
heterostructure. We start with the eight--band ${\bm k}{\bm p}$ model and
derive the electric and magnetic polarization vectors using the Gordon--like
decomposition method. Next, we present the ${\bm k}{\bm p}$ effective
Lagrangian for the nonparabolic conduction band electrons interacting with
electromagnetic field in semiconductor heterostructures with abrupt interfaces.
This Lagrangian gives rise to the Maxwell equations with source terms and
boundary conditions at heterointerfaces as well as equations for the electron
envelope wave function in the external electromagnetic field together with
appropriate boundary conditions. As an example, we consider spin--orbit effects
caused by the structure inversion asymmetry for the conduction electron states.
We compute the intrinsic contribution to the electric polarization of the
steady state electron gas in asymmetric quantum well in equilibrium and in the
spin Hall regime. We argue that this contribution, as well as the intrinsic
spin Hall current, are not cancelled by the elastic scattering processes.


title: On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian

abstract:
  We construct Drinfeld's second realization of the Yangian based on
psu(2|2)xR^3 symmetry. The second realization is traditionally more suitable
for deriving the quantum double and the universal R matrix with respect to the
first realization, originally obtained by Beisert, and it is generically more
useful in order to study finite dimensional representations. We show that the
two realization are isomorphic, where the isomorphism is almost the standard
one given by Drinfeld for simple Lie algebras, but needs some crucial
corrections to account for the central charges. We also evaluate the generators
of the second realization on the fundamental representation, finding the
interesting result that the rapidity variable for some generators gets boosted
by the energy eigenvalue.


title: Polynomial representation for long knots

abstract:
  We discuss the polynomial representation for long knots and elaborate on how
to obtain them with a bound on degrees of the defining polynomials, for any
knot-type.


title: Maximalite des varietes toriques de dimension 4

abstract:
  A complex algebraic variety defined over the reals is maximal when the sum of
its Betti numbers for Borel Moore homology with $\zz$ coefficients coincides
with the sum of the Betti numbers of its real part. We will show in this paper
that toric varieties of dimension 4 are maximal.


title: Two-flavor QCD simulation with exact chiral symmetry

abstract:
  We perform numerical simulations of lattice QCD with two flavors of dynamical
overlap quarks, which have exact chiral symmetry on the lattice. While this
fermion discretization is computationally demanding, we demonstrate the
feasibility to simulate reasonably large and fine lattices by a careful choice
of the lattice action and algorithmic improvements. Our production runs are
carried out on a 16^3 \times 32 lattice at a single lattice spacing around 0.12
fm. We explore the sea quark mass region down to m_s/6, where m_s is the
physical strange quark mass, for a good control of the chiral extrapolation in
future calculations of physical observables. We describe in detail our setup
and algorithmic properties of the production simulations and present results
for the static quark potential to fix the lattice scale and the locality of the
overlap operator.


title: On some results of Cufaro Petroni about Student t-processes

abstract:
  This paper deals with Student t-processes as studied in (Cufaro Petroni N
2007 J. Phys. A, Math. Theor. 40(10), 2227-2250). We prove and extend some
conjectures expressed by Cufaro Petroni about the asymptotical behavior of a
Student t-process and the expansion of its density. First, the explicit
asymptotic behavior of any real positive convolution power of a Student
t-density with any real positive degrees of freedom is given in the
multivariate case; then the integer convolution power of a Student
t-distribution with odd degrees of freedom is shown to be a convex combination
of Student t-densities with odd degrees of freedom. At last, we show that this
result does not extend to the case of non-integer convolution powers.


title:
A statistical mechanics model for free-for-all airplane passenger
  boarding

abstract:
  I present and discuss a model for the free-for-all passenger boarding which
is employed by some discount air carriers. The model is based on the principles
of statistical mechanics where each seat in the aircraft has an associated
energy which reflects the preferences of the population of air travelers. As
each passenger enters the airplane they select their seats using Boltzmann
statistics, proceed to that location, load their luggage, sit down, and the
partition function seen by remaining passengers is modified to reflect this
fact. I discuss the various model parameters and make qualitative comparisons
of this passenger boarding model with models which involve assigned seats. This
model can also be used to predict the probability that certain seats will be
occupied at different times during the boarding process. These results may be
of value to industry professionals as a useful description of this boarding
method. However, it also has significant value as a pedagogical tool since it
is a relatively unusual application of undergraduate level physics and it
describes a situation with which many students and faculty may be familiar.


title:
Nodeless superconductivity in the infinite-layer electron-doped
  Sr_0.9La_0.1CuO_2 cuprate superconductor

abstract:
  We report on measurements of the in-plane magnetic penetration depth
\lambda_{ab} in the infinite-layer electron-doped high-temperature cuprate
superconductor Sr_0.9La_0.1CuO_2 by means of muon-spin rotation. The observed
temperature and magnetic field dependences of \lambda_{ab} are consistent with
the presence of a substantial s-wave component in the superconducting order
parameter in good agreement with the results of tunneling, specific heat, and
small-angle neutron scattering experiments.


title: The Influences of Outflow on the Dynamics of Inflow

abstract:
  Both numerical simulations and observations indicate that in an
advection-dominated accretion flow most of the accretion material supplied at
the outer boundary will not reach the inner boundary. Rather, they are lost via
outflow. Previously, the influence of outflow on the dynamics of inflow is
taken into account only by adopting a radius-dependent mass accretion rate
$\dot{M}=\dot{M}_0 (r/r_{\rm out})^s$ with $s>0$. In this paper, based on a 1.5
dimensional description to the accretion flow, we investigate this problem in
more detail by considering the interchange of mass, radial and azimuthal
momentum, and the energy between the outflow and inflow. The physical
quantities of the outflow is parameterized based on our current understandings
to the properties of outflow mainly from numerical simulations of accretion
flows. Our results indicate that under reasonable assumptions to the properties
of outflow, the main influence of outflow has been properly included by
adopting $\dot{M}=\dot{M}_0 (r/r_{\rm out})^s$.


title:
Transiting exoplanets from the CoRoT space mission I - CoRoT-Exo-1b: a
  low-density short-period planet around a G0V star

abstract:
  Context. The pioneer space mission for photometric planet searches, CoRoT,
steadily monitors about 12,000 stars in each of its fields of view; it is able
to detect transit candidates early in the processing of the data and before the
end of a run. Aims. We report the detection of the first planet discovered by
CoRoT and characterizing it with the help of follow-up observations. Methods.
Raw data were filtered from outliers and residuals at the orbital period of the
satellite. The orbital parameters and the radius of the planet were estimated
by best fitting the phase folded light curve with 34 successive transits.
Doppler measurements with the SOPHIE spectrograph permitted us to secure the
detection and to estimate the planet mass. Results. The accuracy of the data is
very high with a dispersion in the 2.17 min binned phase-folded light curve
that does not exceed 3.10-4 in flux unit. The planet orbits a mildly metal-poor
G0V star of magnitude V=13.6 in 1.5 days. The estimated mass and radius of the
star are 0.95+-0.15Msun and 1.11+-0.05Rsun. We find the planet has a radius of
1.49+-0.08Rjup, a mass of 1.03+-0.12Mjup, and a particularly low mean density
of 0.38 +-0.05g cm-3.


title:
Conserved Quantities for Interacting Four Valent Braids in Quantum
  Gravity

abstract:
  We derive conservation laws from interactions of actively-interacting
braid-like excitations of embedded framed spin networks in Quantum Gravity.
Additionally we demonstrate that actively-interacting braid-like excitations
interact in such a way that the product of interactions involving two
actively-interacting braid-like excitations produces a resulting
actively-interacting form.