title:
The environment of the fast rotating star Achernar - Thermal infrared
  interferometry with VLTI/MIDI and SIMECA modeling

abstract:
  Context: As is the case of several other Be stars, Achernar is surrounded by
an envelope, recently detected by near-IR interferometry.
  Aims: We search for the signature of circumstellar emission at distances of a
few stellar radii from Achernar, in the thermal IR domain.
  Methods: We obtained interferometric observations on three VLTI baselines in
the N band (8-13 mic), using the MIDI instrument.
  Results: From the measured visibilities, we derive the angular extension and
flux contribution of the N band circumstellar emission in the polar direction
of Achernar. The interferometrically resolved polar envelope contributes 13.4
+/- 2.5 % of the photospheric flux in the N band, with a full width at half
maximum of 9.9 +/- 2.3 mas (~ 6 Rstar). This flux contribution is in good
agreement with the photometric IR excess of 10-20% measured by fitting the
spectral energy distribution. Due to our limited azimuth coverage, we can only
establish an upper limit of 5-10% for the equatorial envelope. We compare the
observed properties of the envelope with an existing model of this star
computed with the SIMECA code.
  Conclusions: The observed extended emission in the thermal IR along the polar
direction of Achernar is well reproduced by the existing SIMECA model. Already
detected at 2.2mic, this polar envelope is most probably an observational
signature of the fast wind ejected by the hot polar caps of the star.


title:
The speed of a biased random walk on a percolation cluster at high
  density

abstract:
  We study the speed of a biased random walk on a percolation cluster on $\Z^d$
in function of the percolation parameter $p$. We obtain a first order expansion
of the speed at $p=1$ which proves that percolating slows down the random walk
at least in the case where the drift is along a component of the lattice.


title: Magmatic "Quantum-Like" Systems

abstract:
  Quantum computation has suggested, among others, the consideration of
"non-quantum" systems which in certain respects may behave "quantum-like".
Here, what algebraically appears to be the most general possible known setup,
namely, of {\it magmas} is used in order to construct "quantum-like" systems.
The resulting magmatic composition of systems has as a well known particular
case the tensor products.


title: Local temperature for dynamical black holes

abstract:
  A local Hawking temperature was recently derived for any future outer
trapping horizon in spherical symmetry, using a Hamilton-Jacobi tunneling
method, and is given by a dynamical surface gravity as defined geometrically.
Descriptions are given of the operational meaning of the temperature, in terms
of what observers measure, and its relation to the usual Hawking temperature
for static black holes. Implications for the final fate of an evaporating black
hole are discussed.


title: Pattern Recognition and Memory Mapping using Mirroring Neural Networks

abstract:
  In this paper, we present a new kind of learning implementation to recognize
the patterns using the concept of Mirroring Neural Network (MNN) which can
extract information from distinct sensory input patterns and perform pattern
recognition tasks. It is also capable of being used as an advanced associative
memory wherein image data is associated with voice inputs in an unsupervised
manner. Since the architecture is hierarchical and modular it has the potential
of being used to devise learning engines of ever increasing complexity.


title: Strange and charm quark-pair production in strong non-Abelian field

abstract:
  We have investigated strange and charm quark-pair production in the early
stage of heavy ion collisions. Our kinetic model is based on a Wigner function
method for fermion-pair production in strong non-Abelian fields. To describe
the overlap of two colliding heavy ions we have applied the time-dependent
color field with a pulse-like shape. The calculations have been performed in an
SU(2)-color model with finite current quark masses. For strange quark-pair
production the obtained results are close to the Schwinger limit, as we
expected. For charm quark the large inverse temporal width of the field pulse,
instead of the large charm quark mass, determines the efficiency of the
quark-pair production. Thus we do not observe the expected suppression of charm
quark-pair production connecting to the usual Schwinger-formalism, but our
calculation results in a relatively large charm quark yield. This effect
appears in Abelian models as well, demonstrating that particle-pair production
for fast varying non-Abelian gluon field strongly deviates from the Schwinger
limit for charm quark. We display our results on number densities for light,
strange, charm quark-pairs, and different suppression factors as the function
of characteristic time of acting chromo-electric field.


title: Multi-antikaonic nuclei in the relativistic mean-field theory

abstract:
  Properties of multi-antikaonic nuclei (MKN), where several numbers of $K^-$
mesons are bound, are studied in the relativistic mean-field model, combined
with chiral dynamics for kaonic part of the thermodynamic potential. The
density profiles for nucleons and $K^-$ mesons, the single particle energy of
the $K^-$ mesons, and binding energy of the MKN are obtained. The effects of
the $\bar K-\bar K$ interactions on these quantities are discussed in
comparison with other meson ($\sigma$, $\omega$, and $\rho$)-exchange models.
It is shown that the $\bar K-\bar K$ interactions originate from two
contributions: One is the contact interaction between antikaons inherent in
chiral symmetry, and the other is the one generated through coupling between
the $K^-$ and meson mean fields. Both effects of the $\bar K-\bar K$ repulsive
interactions become large on the ground state properties of the MKN as the
number of the embedded $K^-$ mesons increases. A relation between the
multi-antikaonic nuclei and kaon condensation in infinite and uniform matter is
mentioned.


title:
$\alpha$-Particle Spectrum in the Reaction p+$^{11}$B$\to \alpha +
  ^8Be^*\to 3\alpha$

abstract:
  Using a simple phenomenological parametrization of the reaction amplitude we
calculated $\alpha$-particle spectrum in the reaction p+$^{11}$B$\to \alpha +
^8Be^*\to 3\alpha$ at the resonance proton energy 675 KeV. The parametrization
includes Breit-Wigner factor with an energy dependent width for intermediate
$^8Be^*$ state and the Coulomb and the centrifugal factors in $\alpha$-particle
emission vertexes. The shape of the spectrum consists of a well defined peak
corresponding to emission of the primary $\alpha$ and a flat shoulder going
down to very low energy. We found that below 1.5 MeV there are 17.5% of
$\alpha$'s and below 1 MeV there are 11% of them.


title: A short insight about Thought experiment in Modern Physics

abstract:
  Thought experiment is an apparition in a modern Science, which is in last 100
Years took sweep. Work is based at the aspect of Physics, because and the
writer is from Physics. Manners to study thought experiments are multiple, and
this work is only one aspect in that complex of feasibility. About real
character of thought experiment will be made conclusion when analyze, like this
attempt, in other Sciences.


title: Electroweak radiative corrections and heavy top

abstract:
  General formulas as well as leading asymptotics for corrections to Z- and
W-boson parameters are derived. Experimental data fits in Standard Model and
its extensions are discussed and results are presented.


title: Paradox in physics, the consistency of inconsistency

abstract:
  Paradoxes are a very frequent phenomenon in processes of thought which strive
towards the intelectual and cognitive shifts. They occur in all areas of human
spiritual activites. What we are interested here in, are the paradoxes in
physics. We will try to give the answers to the questions such as: What are the
reasons for developing the paradox in physics? Can a certain kind of
classification of paradoxes in physics be nade and on what basis? What exactly
is the paradox in phisics? What is the opinion of the physicists on paradox and
what significance do they give to it?


title: Reduced genus-two Gromov-Witten Invariants for complex manifolds

abstract:
  In this article, we construct the reduced genus-two Gromov-Witten invariants
for certain almost K\"{a}hler manifold $(X, \omega, J)$ such that $J$ is
integrable and satisfies some regularity conditions. In particular, the
standard projective space $(\P^n, \omega_0, J_0)$ of dimension $n \le 7$
satisfies these conditions. This invariant counts the number of simple
genus-two $J$-holomorphic curves that satisfy appropriate number of
constraints.


title:
Perturbation analysis of an M/M/1 queue in a diffusion random
  environment

abstract:
  We study in this paper an $M/M/1$ queue whose server rate depends upon the
state of an independent Ornstein-Uhlenbeck diffusion process $(X(t))$ so that
its value at time $t$ is $\mu \phi(X(t))$, where $\phi(x)$ is some bounded
function and $\mu>0$. We first establish the differential system for the
conditional probability density functions of the couple $(L(t),X(t))$ in the
stationary regime, where $L(t)$ is the number of customers in the system at
time $t$. By assuming that $\phi(x)$ is defined by $\phi(x) = 1-\varepsilon
((x\wedge a/\varepsilon)\vee(-b/\varepsilon))$ for some positive real numbers
$a$, $b$ and $\varepsilon$, we show that the above differential system has a
unique solution under some condition on $a$ and $b$. We then show that this
solution is close, in some appropriate sense, to the solution to the
differential system obtained when $\phi$ is replaced with
$\Phi(x)=1-\varepsilon x$ for sufficiently small $\varepsilon$. We finally
perform a perturbation analysis of this latter solution for small
$\varepsilon$. This allows us to check at the first order the validity of the
so-called reduced service rate approximation, stating that everything happens
as if the server rate were constant and equal to $\mu(1-\eps\E(X(t)))$.


title: Inference of Flow Statistics via Packet Sampling in the Internet

abstract:
  We show in this note that by deterministic packet sampling, the tail of the
distribution of the original flow size can be obtained by rescaling that of the
sampled flow size. To recover information on the flow size distribution lost
through packet sampling, we propose some heuristics based on measurements from
different backbone IP networks. These heuristic arguments allow us to recover
the complete flow size distribution.


title:
Features of galactic halo in a brane world model and observational
  constraints

abstract:
  Several aspects of the 4d imprint of the 5d bulk Weyl radiation are
investigated within a recently proposed model solution. It is shown that the
solution has a number of physically interesting properties. The constraints on
the model imposed by combined measurements of rotation curve and lensing are
discussed. A brief comparison with a well known scalar field model is also
given.


title:
An identification problem in an urn and ball model with heavy tailed
  distributions

abstract:
  We consider in this paper an urn and ball problem with replacement, where
balls are with different colors and are drawn uniformly from a unique urn. The
numbers of balls with a given color are i.i.d. random variables with a heavy
tailed probability distribution, for instance a Pareto or a Weibull
distribution. We draw a small fraction $p\ll 1$ of the total number of balls.
The basic problem addressed in this paper is to know to which extent we can
infer the total number of colors and the distribution of the number of balls
with a given color. By means of Le Cam's inequality and Chen-Stein method,
bounds for the total variation norm between the distribution of the number of
balls drawn with a given color and the Poisson distribution with the same mean
are obtained. We then show that the distribution of the number of balls drawn
with a given color has the same tail as that of the original number of balls.
We finally establish explicit bounds between the two distributions when each
ball is drawn with fixed probability $p$.


title: On a class of linearizable planar geodesic webs

abstract:
  We present a complete description of a class of linearizable planar geodesic
webs which contain a parallelizable 3-subweb.


title: Copulas for Markovian dependence

abstract:
  Copulas have been popular to model dependence for multivariate distributions,
but have not been used much in modelling temporal dependence of univariate time
series. This paper demonstrates some difficulties with using copulas even for
Markov processes: some tractable copulas such as mixtures between copulas of
complete co- and countermonotonicity and independence (Fr\'{e}chet copulas) are
shown to imply quite a restricted type of Markov process and Archimedean
copulas are shown to be incompatible with Markov chains. We also investigate
Markov chains that are spreadable or, equivalently, conditionally i.i.d.


title:
Statefinder analysis of universe models with a viscous cosmic fluid and
  a fluid with a non-linear equation of state

abstract:
  In the present article we analyze, by means of the statefinder parameter
formalism, some universe models introduced by Brevik and co-workers. We
determine constants that earlier were left unspecified, in terms of observable
quantities. It is verified that a Big Bang universe model with a fluid having a
certain non-linear equation of state behaves in the same way as a model with a
viscous fluid.


title: The diffeomorphism group of a Lie foliation

abstract:
  We explicitly compute the diffeomorphism group of several types of linear
foliations (with dense leaves) on the torus $T^n$, $n\geq 2$, namely
codimension one foliations, flows, and the so-called non-quadratic foliations.
We show in particular that non-quadratic foliations are rigid, in the sense
that they do not admit transverse diffeomorphisms other than $\pm \id$ and
translations. The computation is an application of a general formula that we
prove for the diffeomorphism group of any Lie foliation with dense leaves on a
compact manifold. Our results generalize those of P. Donato and P. Iglesias for
$T^2$, P. Iglesias and G. Lachaud for codimension one foliations on $T^n$,
$n\geq 2$, and B. Herrera for transcendent foliations. The theoretical setting
of the paper is that of J. M. Souriau's diffeological spaces.


title:
Organic charge-transfer phase formation in thin films of the
  BEDT-TTF/TCNQ donor-acceptor system

abstract:
  We have performed charge transfer phase formation studies on the
donor/acceptor system
bis(ethylendithio)tetrathiafulvalene,(BEDT-TTF)/tetracyanoquinodimethane,(TCNQ)
by means of physical vapor deposition. We prepared donor/acceptor bilayer
structures on glass and Si(100)/SiO_2 substrates held at room temperature and
analyzed the layer structures by optical microscopy, X-ray diffraction and
focused ion beam cross sectioning before and after annealing. We found clear
evidence for the formation of a charge transfer phase during the annealing
procedure. For the as-grown samples we could not detect the occurrence of a
charge transfer phase. X-ray diffraction indicated that the monoclinic variant
of the (BEDT-TTF)-TCNQ was formed. This was further corroborated by
single-source evaporation experiments from pre-reacted (BEDT-TTF)-TCNQ obtained
from solution growth, and in particular from co-evaporation experiments of
(BEDT-TTF)-TCNQ and TCNQ. In the course of these experiments we found that
(0,l,l)-oriented BEDT-TTF layers can be prepared on alpha-Al_2O_3 (1,1,-2,0)
substrates at about 100 C using (BEDT-TTF)-TCNQ as source material. We
speculate that due to its high vapor pressure the TCNQ component serves as a
carrier gas for BEDT-TTF vapor phase transport.


title: A Bernoulli linked-twist map in the plane

abstract:
  We prove that a Lebesgue measure-preserving linked-twist map defined in the
plane is metrically isomorphic to a Bernoulli shift (and thus strongly mixing).
This is the first such result for an explicitly defined linked-twist map on a
manifold other than the two-torus. Our work builds on that of Wojtkowski who
established an ergodic partition for this example using an invariant cone-field
in the tangent space.


title: Note on on Dedekind type DC sums

abstract:
  In this paper we consider Dedekind type DC sums and prove receprocity laws
related to DC sums.


title: On the comparison of the Dirichlet and Neumann counting functions

abstract:
  The aim of the paper is to show that L. Friedlander's results on the relation
between Dirichlet and Neumann counting functions (Arch. Ration. Mech. Anal.
116, 1991) remain valid in abstract setting.


title: Proposed New Antiproton Experiments at Fermilab

abstract:
  Fermilab operates the world's most intense source of antiprotons. Recently
various experiments have been proposed that can use those antiprotons either
parasitically during Tevatron Collider running or after the Tevatron Collider
finishes in about 2010. We discuss the physics goals and prospects of the
proposed experiments.


title:
A Canonical Relativistic Approach to Quantize Electromagnetic Field in
  the Presence of Moving Magneto-Dielectric Media

abstract:
  A canonical relativistic formulation is introduced to quantize
electromagnetic field in the presence of a polarizable and magnetizable moving
medium. The medium is modeled by a continuum of four vectors in a
phenomenological way. The covariant wave equation for the vector potential and
the covariant constitutive equation of the medium are obtained as the Euler-
Lagrange equations using the Lagrangian of the total system. A tensor of the
third rank which couples the electromagnetic field with the medium is
introduced and the susceptibility tensor of the medium is obtained in terms of
the coupling tensor. Also the noise polarization tensor is calculated in terms
of the coupling tensor and the creation and annihilation operators of the four
vectors modeling the medium.


title:
Polyelectrolytes in electric fields: Measuring the dynamical effective
  charge and effective friction

abstract:
  We use a coarse-grained molecular dynamics model to study the electrophoretic
behaviour of flexible polyelectrolyte chains. We first characterize the static
properties of the model with respect to the chain length, the polyelectrolyte
concentration, additional salt and the influence of an applied external field.
Next we investigate the dynamic behaviour in the oligomer range and compare to
data obtained by two different experimental methods, namely capillary
electrophoresis and PFG-NMR. We find excellent agreement of experiments and
simulations when hydrodynamic interactions are accounted for in the
simulations. We then present novel estimators for the dynamical effective
charge during free solution electrophoresis and compare them to static
estimators. We find complete agreement between the static and the dynamic
estimators. We further evaluate the scaling behaviour of the effective friction
of the polyelectrolyte-counterion complex with the surrounding fluid. We
identify a hydrodynamic screening length beyond which the friction during
electrophoresis is linear depending on the chain length resulting in a constant
mobility for long polyelectrolyte chains. Our results show a convincing
agreement with experimental data and demonstrate that it is possible to model
dynamic behaviour of polyelectrolytes using coarse grained models, provided
they include the effects of hydrodynamical interactions.


title: Complementary Regions of Knot and Link Diagrams

abstract:
  An increasing sequence of integers is said to be universal for knots and
links if every knot and link has a projection to the sphere such that the
number of edges of each complementary face of the projection comes from the
given sequence. This paper is an investigation into which sequences, either
finite or infinite, are universal. We also consider how to minimize the number
of odd-sided faces for projections of knots and links with n components.


title: A Separation Algorithm for Improved LP-Decoding of Linear Block Codes

abstract:
  Maximum Likelihood (ML) decoding is the optimal decoding algorithm for
arbitrary linear block codes and can be written as an Integer Programming (IP)
problem. Feldman et al. relaxed this IP problem and presented Linear
Programming (LP) based decoding algorithm for linear block codes. In this
paper, we propose a new IP formulation of the ML decoding problem and solve the
IP with generic methods. The formulation uses indicator variables to detect
violated parity checks. We derive Gomory cuts from our formulation and use them
in a separation algorithm to find ML codewords. We further propose an efficient
method of finding cuts induced by redundant parity checks (RPC). Under certain
circumstances we can guarantee that these RPC cuts are valid and cut off the
fractional optimal solutions of LP decoding. We demonstrate on two LDPC codes
and one BCH code that our separation algorithm performs significantly better
than LP decoding.


title: Precise subelliptic estimates for a class of special domains

abstract:
  For the $\bar\partial$-Neumann problem on a regular coordinate domain
$\Omega\subset \C^{n+1}$, we prove $\epsilon$-subelliptic estimates for an
index $\epsilon$ which is in some cases better than $\epsilon=\frac1{2m}$ ($m$
being the {\it multiplicity}) as it was previously proved by Catlin and Cho in
\cite{CC08}. This also supplies a much simplified proof of the existing
literature. Our approach is founded on the method by Catlin in \cite{C87} which
consists in constructing a family of weights $\{\phi^\delta\}$ whose Levi form
is bigger than $\delta^{-2\epsilon}$ on the $\delta$-strip around
$\partial\Omega$.


title:
The multiplicity of exoplanet host stars - New low-mass stellar
  companions of the exoplanet host stars HD125612 and HD212301

abstract:
  Aims: We present new results from our ongoing multiplicity study of exoplanet
host stars, carried out with SofI/NTT. We provide the most recent list of
confirmed binary and triple star systems that harbor exoplanets.
  Methods: We use direct imaging to identify wide stellar and substellar
companions as co-moving objects to the observed exoplanet host stars, whose
masses and spectral types are determined with follow-up photometry and
spectroscopy.
  Results: We found two new co-moving companions of the exoplanet host stars
HD125612 and HD212301. HD125612B is a wide M4 dwarf (0.18 Msun) companion of
the exoplanet host star HD125612, located about 1.5 arcmin (~4750 AU of
projected separation) south-east of its primary. In contrast, HD212301B is a
close M3 dwarf (0.35 Msun), which is found about 4.4 arcsec (~230 AU of
projected separation) north-west of its primary.
  Conclusions: The binaries HD125612AB and HD212301AB are new members in the
continuously growing list of exoplanet host star systems of which 43 are
presently known. Hence, the multiplicity rate of exoplanet host stars is about
17%.
  Based on observations obtained on La Silla in ESO programs 079.C-0099(A),
080.C-0312(A)


title: On a C2-nonlinear subdivision scheme avoiding Gibbs oscillations

abstract:
  This paper is devoted to the presentation and the analysis of a new nonlinear
subdivision scheme eliminating the Gibbs oscillations close to discontinuities.
Its convergence, stability and order of approximation are analyzed. It is
proved that this schemes converges towards limit functions of H\"older
regularity index larger than 1.192. Numerical estimates provide an H\"older
regularity index of 2.438. Up to our knowledge, this scheme is the first one
that achieves simultaneously the control of the Gibbs phenomenon and regularity
index larger than 1 for its limit functions.


title: A Sparse Flat Extension Theorem for Moment Matrices

abstract:
  In this note we prove a generalization of the flat extension theorem of Curto
and Fialkow for truncated moment matrices. It applies to moment matrices
indexed by an arbitrary set of monomials and its border, assuming that this set
is connected to 1. When formulated in a basis-free setting, this gives an
equivalent result for truncated Hankel operators.


title:
QCD Corrections to Vector-Boson Fusion Processes in Warped Higgsless
  Models

abstract:
  We discuss the signatures of a representative Higgsless model with ideal
fermion delocalization in vector-boson fusion processes, focusing on the gold-
and silver-plated decay modes of the gauge bosons at the CERN-Large Hadron
Collider. For this purpose, we have developed a fully-flexible parton-level
Monte-Carlo program, which allows for the calculation of cross sections and
kinematic distributions within experimentally feasible selection cuts at
NLO-QCD accuracy. We find that Kaluza-Klein resonances give rise to very
distinctive distributions of the decay leptons. Similar to the Standard Model
case, within the Higgsless scenario the perturbative treatment of the
vector-boson scattering processes is under excellent control.


title: Laser-induced nonresonant nuclear excitation in muonic atoms

abstract:
  Coherent nuclear excitation in strongly laser-driven muonic atoms is
calculated. The nuclear transition is caused by the time-dependent Coulomb
field of the oscillating charge density of the bound muon. A closed-form
analytical expression for electric multipole transitions is derived and applied
to various isotopes; the excitation probabilities are in general very small. We
compare the process with other nuclear excitation mechanisms through coupling
with atomic shells and discuss the prospects to observe it in experiment.


title: A generalization of strongly Gorenstein projective modules

abstract:
  This paper generalize the idea of the authors in J. Pure Appl. Algebra 210
(2007) 437--445. Namely, we define and study a particular case of Gorenstein
projective modules. We investigate some change of rings results for this new
kind of modules. Examples over not necessarily Noetherian rings are given.


title:
An $O({\log n\over \log\log n})$ Upper Bound on the Price of Stability
  for Undirected Shapley Network Design Games

abstract:
  In this paper, we consider the Shapley network design game on undirected
networks. In this game, we have an edge weighted undirected network $G(V,E)$
and $n$ selfish players where player $i$ wants to choose a path from source
vertex $s_i$ to destination vertex $t_i$. The cost of each edge is equally
split among players who pass it. The price of stability is defined as the ratio
of the cost of the best Nash equilibrium to that of the optimal solution. We
present an $O(\log n/\log\log n)$ upper bound on price of stability for the
single sink case, i.e, $t_i=t$ for all $i$.


title: Anisotropic winds from close-in extra-solar planets

abstract:
  We present two-dimensional hydrodynamic models of thermally driven winds from
highly irradiated, close-in extra-solar planets. We adopt a very simple
treatment of the radiative heating processes at the base of the wind, and
instead focus on the differences between the properties of outflows in
multidimensions in comparison to spherically symmetric models computed with the
same methods. For hot (T > 2 x 10^{4} K) or highly ionized gas, we find strong
(supersonic) polar flows are formed above the planet surface which produce weak
shocks and outflow on the night-side. In comparison to a spherically symmetric
wind with the same parameters, the sonic surface on the day-side is much closer
to the planet surface in multidimensions, and the total mass loss rate is
reduced by almost a factor of four. We also compute the steady-state structure
of interacting planetary and stellar winds. Both winds end in a termination
shock, with a parabolic contact discontinuity which is draped over the planet
separating the two shocked winds. The planetary wind termination shock and the
sonic surface in the wind are well separated, so that the mass loss rate from
the planet is essentially unaffected. However, the confinement of the planetary
wind to the small volume bounded by the contact discontinuity greatly enhances
the column density close to the planet, which might be important for the
interpretation of observations of absorption lines formed by gas surrounding
transiting planets.


title:
A solution to the little hierarchy problem in a partly N=2 extension of
  the MSSM

abstract:
  We extend a model of the Dirac gauginos, which originate from N=2
supersymmetry (SUSY) for the gauge sector, such that the N=2 SUSY is imposed
also to the sfermion sector but only for the 3rd generation squarks and
sleptons. In addition to the N=2 supersymmetry, our model is constructed based
on the SU(3)c times SU(3)L times U(1)' gauge symmetry. By this extension, the
dominant source of radiative correction to the Higgs mass squared coming from
the stop loop becomes controllable based on the enhanced symmetry. Then it
becomes a viable model which provides a solution to the little hierarchy
problem in SUSY models. Even in the original scenario, the Dirac gauginos can
be superheavy, of order 10 TeV or so, while keeping the scalar masses at the
weak scale. This possibility is phenomenologically interesting because it can
suppress the unwanted flavor changing processes. And in scope of the LHC, this
scenario can have a very distinct signature related to the exotic sfermions
which are accompanied as the N=2 superpartners as well as the Dirac gauginos.


title: Non-Adiabatic Spin Transfer Torque in Real Materials

abstract:
  The motion of simple domain walls and of more complex magnetic textures in
the presence of a transport current is described by the
Landau-Lifshitz-Slonczewski (LLS) equations. Predictions of the LLS equations
depend sensitively on the ratio between the dimensionless material parameter
$\beta$ which characterizes non-adiabatic spin-transfer torques and the Gilbert
damping parameter $\alpha$. This ratio has been variously estimated to be close
to 0, close to 1, and large compared to 1. By identifying $\beta$ as the
influence of a transport current on $\alpha$, we derive a concise, explicit and
relatively simple expression which relates $\beta$ to the band structure and
Bloch state lifetimes of a magnetic metal. Using this expression we demonstrate
that intrinsic spin-orbit interactions lead to intra-band contributions to
$\beta$ which are often dominant and can be (i) estimated with some confidence
and (ii) interpreted using the "breathing Fermi surface" model.


title: Measurement of MW+ - MW- at LHC

abstract:
  This paper is the second of the series of papers proposing dedicated
strategies for precision measurements of the Standard Model parameters at the
LHC. The common feature of these strategies is their robustness with respect to
the systematic measurement and modeling error sources. Their impact on the
precision of the measured parameters is reduced using dedicated observables and
dedicated measurement procedures which exploit flexibilities of the collider
and detector running modes. In the present paper we focus our attention on the
measurement of the charge asymmetry of the W-boson mass. This measurement is of
primordial importance for the LHC experimental program, both as a direct test
of the charge-sign-independent coupling of the W-bosons to the matter particles
and as a necessary first step towards the precision measurement of the
charge-averaged W-boson mass. We propose and evaluate the LHC-specific strategy
to measure the mass difference between the positively and negatively charged
W-bosons, MW+ - MW-. We show that its present precision can be improved at the
LHC by a factor of 20. We argue that such a precision is beyond the reach of
the standard measurement and calibration methods imported to the LHC from the
Tevatron program.


title: Applications of the Graph Minor Theorem to algebraic structures I

abstract:
  We use the Graph Minor Theorem to characterize infinite sequences of finite
subsets of factorial and commutative semigroups (here semigroups have a unity
element), e.g. the multiplicative semigroup of a unique factorization domain.


title: Attractor Networks on Complex Flag Manifolds

abstract:
  Robbin and Salamon showed that attractor-repellor networks and Lyapunov maps
are equivalent concepts and illustrate this with the example of linear flows on
projective spaces. In these examples the fixed points are linearly ordered with
respect to the Smale order which makes the attractor-repellor network overly
simple. In this paper we provide a class of examples in which the
attractor-repellor network and its lattice structure can be explicitly
determined even though the Smale order is not total. They are associated with
special flows on complex flag manifolds. In the process we show that the Smale
order on the set of fixed points can be identified with the well-known Bruhat
order. This could also be derived from results of Kazhdan and Lusztig, but we
give a new proof using the Lambda-Lemma of Palis. For the convenience of the
reader we also introduce the flag manifolds via elementary dynamical systems
using only a minimum of Lie theory.


title: Feature Selection By KDDA For SVM-Based MultiView Face Recognition

abstract:
  Applications such as face recognition that deal with high-dimensional data
need a mapping technique that introduces representation of low-dimensional
features with enhanced discriminatory power and a proper classifier, able to
classify those complex features. Most of traditional Linear Discriminant
Analysis suffer from the disadvantage that their optimality criteria are not
directly related to the classification ability of the obtained feature
representation. Moreover, their classification accuracy is affected by the
"small sample size" problem which is often encountered in FR tasks. In this
short paper, we combine nonlinear kernel based mapping of data called KDDA with
Support Vector machine classifier to deal with both of the shortcomings in an
efficient and cost effective manner. The proposed here method is compared, in
terms of classification accuracy, to other commonly used FR methods on UMIST
face database. Results indicate that the performance of the proposed method is
overall superior to those of traditional FR approaches, such as the Eigenfaces,
Fisherfaces, and D-LDA methods and traditional linear classifiers.


title: Face Detection Using Adaboosted SVM-Based Component Classifier

abstract:
  Recently, Adaboost has been widely used to improve the accuracy of any given
learning algorithm. In this paper we focus on designing an algorithm to employ
combination of Adaboost with Support Vector Machine as weak component
classifiers to be used in Face Detection Task. To obtain a set of effective
SVM-weaklearner Classifier, this algorithm adaptively adjusts the kernel
parameter in SVM instead of using a fixed one. Proposed combination outperforms
in generalization in comparison with SVM on imbalanced classification problem.
The proposed here method is compared, in terms of classification accuracy, to
other commonly used Adaboost methods, such as Decision Trees and Neural
Networks, on CMU+MIT face database. Results indicate that the performance of
the proposed method is overall superior to previous Adaboost approaches.


title: G\"odel Type Metrics in Three Dimensions

abstract:
  We show that the G{\" o}del type Metrics in three dimensions with arbitrary
two dimensional background space satisfy the Einstein-perfect fluid field
equations. There exists only one first order partial differential equation
satisfied by the components of fluid's velocity vector field. We then show that
the same metrics solve the field equations of the topologically massive gravity
where the two dimensional background geometry is a space of constant negative
Gaussian curvature. We discuss the possibility that the G{\" o}del Type Metrics
to solve the Ricci and Cotton flow equations. When the vector field $u^{\mu}$
is a Killing vector field we finally show that the stationary G{\" o}del Type
Metrics solve the field equations of the most possible gravitational field
equations where the interaction lagrangian is an arbitrary function of the
electromagnetic field and the curvature tensors.


title: q-Breathers in Discrete Nonlinear Schroedinger arrays with weak disorder

abstract:
  Nonlinearity and disorder are key players in vibrational lattice dynamics,
responsible for localization and delocalization phenomena. $q$-Breathers --
periodic orbits in nonlinear lattices, exponentially localized in the
reciprocal linear mode space -- is a fundamental class of nonlinear oscillatory
modes, currently found in disorder-free systems. In this paper we generalize
the concept of $q$-breathers to the case of weak disorder, taking the Discrete
Nonlinear Schr\"{o}dinger chain as an example. We show that $q$-breathers
retain exponential localization near the central mode, provided that disorder
is sufficiently small. We analyze statistical properties of the instability
threshold and uncover its sensitive dependence on a particular realization.
Remarkably, the threshold can be intentionally increased or decreased by
specifically arranged inhomogeneities. This effect allows us to formulate an
approach to controlling the energy flow between the modes. The relevance to
other model arrays and experiments with miniature mechanical lattices, light
and matter waves propagation in optical potentials is discussed.


title: Doubling rational normal curves

abstract:
  In this paper, we study double structures supported on rational normal
curves. After recalling the general construction of double structures supported
on a smooth curve described in \cite{fer}, we specialize it to double
structures on rational normal curves. To every double structure we associate a
triple of integers $ (2r,g,n) $ where $ r $ is the degree of the support, $ n
\geq r $ is the dimension of the projective space containing the double curve,
and $ g $ is the arithmetic genus of the double curve. We compute also some
numerical invariants of the constructed curves, and we show that the family of
double structures with a given triple $ (2r,g,n) $ is irreducible. Furthermore,
we prove that the general double curve in the families associated to $
(2r,r+1,r) $ and $ (2r,1,2r-1) $ is arithmetically Gorenstein. Finally, we
prove that the closure of the locus containing double conics of genus $ g \leq
-2 $ form an irreducible component of the corresponding Hilbert scheme, and
that the general double conic is a smooth point of that component. Moreover, we
prove that the general double conic in $ \mathbb{P}^3 $ of arbitrary genus is a
smooth point of the corresponding Hilbert scheme.


title: Point configurations that are asymmetric yet balanced

abstract:
  A configuration of particles confined to a sphere is balanced if it is in
equilibrium under all force laws (that act between pairs of points with
strength given by a fixed function of distance). It is straightforward to show
that every sufficiently symmetrical configuration is balanced, but the converse
is far from obvious. In 1957 Leech completely classified the balanced
configurations in R^3, and his classification is equivalent to the converse for
R^3. In this paper we disprove the converse in high dimensions. We construct
several counterexamples, including one with trivial symmetry group.


title: Ferromagnetic, structurally disordered ZnO implanted with Co ions

abstract:
  We present superparamagnetic clusters of structurally highly disordered
Co-Zn-O created by high fluence Co ion implantation into ZnO (0001) single
crystals at low temperatures. This secondary phase cannot be detected by common
x-ray diffraction but is observed by high-resolution transmission electron
microscopy. In contrast to many other secondary phases in a ZnO matrix it
induces low-field anomalous Hall effect and thus is a candidate for
magneto-electronics applications.


title:
Improved spacecraft radio science using an on-board atomic clock:
  application to gravitational wave searches

abstract:
  Recent advances in space-qualified atomic clocks (low-mass, low
power-consumption, frequency stability comparable to that of ground-based
clocks) can enable interplanetary spacecraft radio science experiments at
unprecedented Doppler sensitivities. The addition of an on-board digital
receiver would allow the up- and down-link Doppler frequencies to be measured
separately. Such separate, high-quality measurements allow optimal data
combinations that suppress the currently-leading noise sources: phase
scintillation noise from the Earth's atmosphere and Doppler noise caused by
mechanical vibrations of the ground antenna. Here we provide a general
expression for the optimal combination of ground and on-board Doppler data and
compute the sensitivity such a system would have to low-frequency gravitational
waves (GWs). Assuming a plasma scintillation noise calibration comparable to
that already demonstrated with the multi-link CASSINI radio system, the
space-clock/digital-receiver instrumentation enhancements would give GW strain
sensitivity of $2.0 \times 10^{-17}$ for randomly polarized, monochromatic GW
signals over a two-decade ($\sim0.0001-0.01$ Hz) region of the low-frequency
band. This is about an order of magnitude better than currently achieved with
traditional two-way coherent Doppler experiments. The utility of optimally
combining simultaneous up- and down-link observations is not limited to GW
searches. The Doppler tracking technique discussed here could be performed at
minimal incremental cost to also improve other radio science experiments (i.e.
tests of relativistic gravity, planetary and satellite gravity field
measurements, atmospheric and ring occultations) on future interplanetary
missions.


title:
A proposal of implementing Hardy's thought-experiment with particles
  that never met

abstract:
  Hardy's thought-experiment is the strongest argument against the idea of
continuous trajectories of particles from the source to the detector. This idea
seems to result as an unavoidable conclusion from some simple experiments. In
its original form, Hardy's thought-experiment was proposed for two independent
particles, a positron and an electron. The two either meet and annihilate, or
don't meet but become entangled. An important feature of entanglements with
particles that never meet is the difficulty they raise in front of the
assumption of "hidden communication" between the particles. Indeed, if the
particles don't meet, they can't have information of one another and it is
difficult to explain how can they communicate. In order to implement Hardy's
paradox with particles that never meet, the present article proposes to use
photons from three different lasers, one laser emitting UV rays, and the other
two emitting at the wavelength of the signal photon, respectively the idler
photon obtained from the down-conversion of the UV rays. The role of the
annihilation in Hardy's experiment will be played by the destructive
interference between a down-conversion pair and two photons from the low-energy
lasers.


title:
Bottom hadron mass splittings in the static limit from 2+1 flavour
  lattice QCD

abstract:
  Dynamical 2+1 flavour lattice QCD is used to calculate the splittings between
the masses of mesons and baryons containing a single static heavy quark and
domain-wall light and strange quarks. Our calculations are based on the
dynamical domain-wall gauge field configurations generated by the RBC and UKQCD
collaborations at a spatial volume of (2.7 fm)^3 and a range of quark masses
with a lightest value corresponding to a (partially-quenched) pion mass of 275
MeV. When extrapolated to the physical values of the light quark masses, the
results of our calculations are generally in good agreement with experimental
determinations in the bottom sector. However, the static limit splittings
between the Omega_b^- baryon and other bottom hadrons tend to slightly
underestimate those obtained using the recent D-zero measurement of the
Omega_b^-.


title:
Detecting Magnetic Fields in Large-Scale Structure with Radio
  Polarization

abstract:
  We present our attempts to detect magnetic fields in filamentary large-scale
structure (LSS) by observing polarized synchrotron emission emitted by
structure formation shocks. Little is known about the strength and order of
magnetic fields beyond the largest clusters of galaxies, and synchrotron
emission holds enormous promise as a means of probing magnetic fields in these
low density regions. We report on observations taken at the Green Bank
Telescope which reveal a possible Mpc extension to the Coma cluster relic. We
also highlight the major obstacle that diffuse galactic foreground emission
poses for any search for large-scale, low surface-brightness extragalactic
emission. Finally we explore cross-correlation of diffuse radio emission with
optical tracers of LSS as a means to statistically detecting magnetic fields in
the presence of this confounding foreground emission.


title:
Multicritical Behavior in a Random-Field Ising Model under a
  Continuous-Field Probability Distribution

abstract:
  A random-field Ising model that is capable of exhibiting a rich variety of
multicritical phenomena, as well as a smearing of such behavior, is
investigated. The model consists of an infinite-range-interaction Ising
ferromagnet in the presence of a triple-Gaussian random magnetic field, which
is defined as a superposition of three Gaussian distributions with the same
width $\sigma$, centered at H=0 and $H=\pm H_{0}$, with probabilities $p$ and
$(1-p)/2$, respectively. Such a distribution is very general and recovers as
limiting cases, the trimodal, bimodal, and Gaussian probability distributions.


title: Study of the stellar line-strength indices and kinematics along bars

abstract:
  This is the first paper of a series aimed to understand the formation and
evolution of bars in early-type spirals and their influence in the evolution of
the galaxy. Optical long-slit spectra along the major axis of the bar of a
sample of 20 galaxies are analyzed. Line-strength indices in the bar region are
measured to derive stellar mean-age and metallicity distributions along the
bars using stellar population models. We find three different types of bars
according to their metallicity and age distribution along the radius: 1) Bars
with negative metallicity gradients. They show mean young/intermediate
population (< 2 Gyr), and have amongst the lowest stellar maximum central
velocity dispersion of the sample. 2) Bars with null metallicity gradients.
These galaxies tend to have negative age gradients. 3) Bars with positive
metallicity gradients. These galaxies are predominantly those with higher
velocity dispersion and older mean population. We found no significant
correlation between the age and metallicity distribution, and bar/galaxy
parameters such as the AGN presence, size or the bar strength. From the
kinematics, we find that all the galaxies show a disk-like central component.
The results from the metallicity and age gradients indicate that most galaxies
with high central stellar velocity dispersion host bars that could have been
formed more than 3 Gyrs ago, while galaxies with lower central velocity
dispersions show a wider distribution in their population and age gradients. A
few bars show characteristics compatible with having been formed less than <2
Gy ago. These results place strong constrains to models of bar formation and
evolution. The disk-like central components also show the important role played
by bars in the secular evolution of the central structure.


title: Accelerated Sampling of Boltzmann distributions

abstract:
  The sampling of Boltzmann distributions by stochastic Markov processes, can
be strongly limited by the crossing time of high (free) energy barriers. As a
result, the system may stay trapped in metastable states, and the relaxation
time to the equilibrium Boltzmann distribution may be very large compared to
the available computational time. In this paper, we show how, by a simple
modification of the Hamiltonian, one can dramatically decrease the relaxation
time of the system, while retaining the same equilibrium distribution. The
method is illustrated on the case of the one-dimensional double-well potential.


title: On Poncelet's maps

abstract:
  Given two ellipses, one surrounding the other one, Poncelet introduced a map
$P$ from the exterior one to itself by using the tangent lines to the interior
ellipse. This procedure can be extended to any two smooth, nested and convex
ovals and we call this type of maps Poncelet's maps. We recall what he proved
around 1814 in the dynamical systems language: In the two ellipses case and
when the rotation number of P is rational there exists a natural number such
that P^n is the identity, or in other words, the Poncelet's map is conjugated
to a rational rotation. In this paper we study general Poncelet's maps and give
several examples of algebraic ovals where the corresponding Poncelet's map has
a rational rotation number and it is not conjugated to a rotation. Finally, we
also provide a new proof of Poncelet's result based on dynamical tools.


title: $L^p$-improving estimates for averages on polynomial curves

abstract:
  In the combinatorial method proving of $L^p$-improving estimates for averages
along curves pioneered by Christ (IMRN, 1998), it is desirable to estimate the
average modulus (with respect to some uniform measure on a set) of a
polynomial-like function from below using only the value of the function or its
derivatives at some prescribed point. In this paper, it is shown that there is
always a relatively large set of points (independent of the particular function
to be integrated) for which such estimates are possible. Inequalities of this
type are then applied to extend the results of Tao and Wright (JAMS, 2003) to
obtain endpoint restricted weak-type estimates for averages over curves given
by polynomials.


title: Finite groups have even more conjugacy classes

abstract:
  In his paper "Finite groups have many conjugacy classes" (J. London Math. Soc
(2) 46 (1992), 239-249), L. Pyber proved the to date best general lower bounds
for the number of conjugacy classes of a finite group in terms of the order of
the group. In this paper we strengthen the main results in Pyber's paper.


title: On Taking Square Roots without Quadratic Nonresidues over Finite Fields

abstract:
  We present a novel idea to compute square roots over finite fields, without
being given any quadratic nonresidue, and without assuming any unproven
hypothesis. The algorithm is deterministic and the proof is elementary. In some
cases, the square root algorithm runs in $\tilde{O}(\log^2 q)$ bit operations
over finite fields with $q$ elements. As an application, we construct a
deterministic primality proving algorithm, which runs in $\tilde{O}(\log^3 N)$
for some integers $N$.


title: Identities for the Riemann zeta function

abstract:
  We obtain several expansions for $\zeta(s)$ involving a sequence of
polynomials in $s$, denoted in this paper by $\alpha_k(s)$. These polynomials
can be regarded as a generalization of Stirling numbers of the first kind and
our identities extend some series expansions for the zeta function that are
known for integer values of $s$. The expansions also give a different approach
to the analytic continuation of the Riemann zeta function.


title: Impurity Scattering Effects in STM Studies of High-T_c Superconductors

abstract:
  Recent STM measurements have observed many inhomogeneous patterns of the
local density of states on the surface of high-T_c cuprates. As a first step to
study such disordered strong correlated systems, we use the BdG equation for
the t-t'-t"-J model with an impurity. The impurity is taken into account by a
local potential or local variation of the hopping/exchange terms. Strong
correlation is treated by a Gutzwiller mean-field theory with local Gutzwiller
factors and local chemical potentials. It turned out that the potential
impurity scattering is greatly suppressed, while the local variation of
hoppings/exchanges is enhanced.


title:
Evidence of Star Formation in Local S0 Galaxies: Spitzer Observations of
  the SAURON Sample

abstract:
  We discuss infrared Spitzer observations of early type galaxies in the SAURON
sample at 24, 60 and 170 microns. When compared with 2MASS Ks band
luminosities, lenticular (S0) galaxies exhibit a much wider range of mid to
far-infrared luminosities then elliptical (E) galaxies. Mid and far-infrared
emission from E galaxies is a combination of circumstellar or interstellar
emission from local mass-losing red giant stars, dust buoyantly transported
from the galactic cores into distant hot interstellar gas and dust accreted
from the environment. The source of mid and far-IR emission in S0 galaxies is
quite different and is consistent with low levels of star formation, 0.02 - 0.2
Msol/yr, in cold, dusty gaseous disks. The infrared 24micron-70micron color is
systematically lower for (mostly S0) galaxies with known molecular disks. Our
observations support the conjecture that cold dusty gas in some S0 galaxies is
created by stellar mass loss at approximately the same rate that it is consumed
by star formation, so the mass depletion of these disks by star formation will
be slow. Unlike E galaxies, the infrared luminosities of S0 galaxies correlate
with both the mass of molecular gas and the stellar Hbeta spectral index, and
all are related to the recent star formation rate. However, star formation
rates estimated from the Hbeta emission line luminosities L_{Hbeta} in SAURON
S0 galaxies are generally much smaller. Since L_{Hbeta} does not correlate with
24 microns emission from dust heated by young stars, optical emission lines
appear to be a poor indicator of star formation rates in SAURON S0 galaxies.
The absence of Hbeta emission may be due to a relative absence of OB stars in
the initial mass function or to dust absorption of Hbeta emission lines.


title: Impurity Potential Renormalization by Strong Electron Correlation

abstract:
  Renormalization of non-magnetic impurity potential by strong electron
correlation is investigated in detail. We adopt the t-t'-t"-J model and
consider mainly a delta-function impurity potential. The variational Monte
Carlo method shows that impurity potential scattering matrix elements between
Gutzwiller-projected quasi-particle excited states are as strongly renormalized
as the hopping terms. Such renormalization is also seen by the Bogoliubov-de
Gennes equation with an impurity, where the strong correlation is treated by a
Gutzwiller mean-field theory with local Gutzwiller factors and local chemical
potentials. Namely, the delta-function potential is effectively weakened and
broadened. We emphasize the importance of including the local chemical
potential, which is paid little attention to in the literature, by physical
consideration of the doping dependence of a local hole density. We also
investigate effect of smooth impurity potential variation; the strong
correlation yields anticorrelation between the gap energy and the coherence
peak height simultaneously with large gap distribution, which is consistent
with the experiments.


title: Deterministic Primality Proving on Proth Numbers

abstract:
  We present an algorithm to decide the primality of Proth numbers, N=2^e t+1,
without assuming any unproven hypothesis. The expected running time and the
worst case running time of the algorithm are O ((t log t + log N)log N) and O
((t log t + log N) log^2 N) bit operations, respectively.


title: The von Neumann entropy of networks

abstract:
  We normalize the combinatorial Laplacian of a graph by the degree sum, look
at its eigenvalues as a probability distribution and then study its Shannon
entropy. Equivalently, we represent a graph with a quantum mechanical state and
study its von Neumann entropy. At the graph-theoretic level, this quantity may
be interpreted as a measure of regularity; it tends to be larger in relation to
the number of connected components, long paths and nontrivial symmetries. When
the set of vertices is asymptotically large, we prove that regular graphs and
the complete graph have equal entropy, and specifically it turns out to be
maximum. On the other hand, when the number of edges is fixed, graphs with
large cliques appear to minimize the entropy.


title:
Ubiquitous H-alpha polarized line profiles: absorptive
  spectropolarimetric effects and temporal variability in Post-AGB, Herbig
  Ae/Be and other stellar types

abstract:
  We show here that the absorptive H-alpha polarized line profile previously
seen in many Herbig Ae/Be (HAeBe) stars is a nearly ubiquitous feature of other
types of embedded or obscured stars. This characteristic 1% linear polarization
variation across the absorptive part of the H-alpha line is seen in Post-AGB
stars as well as RV-Tau, Delta-Scuti, and other types. Each of these stars
shows evidence of obscuration by intervening circumstellar hydrogen gas and the
polarization effect is in the absorptive component, consistent with an optical
pumping model. We present ESPaDOnS spectropolarimetric observations of 9
post-AGB and RV-Tau types in addition to many multi-epoch HiVIS observations of
these targets. We find significant polarization changes across the H-alpha line
in 8/9 stars with polarization amplitudes of 0.5% to over 3% (5/6 Post-AGB and
3/3 RV-Tau). In all but one of these, the polarization change is dominated by
the absorptive component of the line profile. There is no evidence that
subclasses of obscured stars showing stellar pulsations (RV-Tau for Post-AGB
stars and Delta-Scuti for Herbig Ae/Be stars) show significant
spectropolarimetric differences from the main class. Significant temporal
variability is evident from both HiVIS and ESPaDOnS data for several stars
presented here: 89 Her, AC Her, SS Lep, MWC 120, AB Aurigae and HD144668. The
morphologies and temporal variability are comparable to existing large samples
of Herbig Ae/Be and Be type stars. Since Post-AGB stars have circumstellar gas
that is very different from Be stars, we discuss these observations in the
context of their differing environments.


title: Learning Low Rank Matrices from O(n) Entries

abstract:
  How many random entries of an n by m, rank r matrix are necessary to
reconstruct the matrix within an accuracy d? We address this question in the
case of a random matrix with bounded rank, whereby the observed entries are
chosen uniformly at random. We prove that, for any d>0, C(r,d)n observations
are sufficient. Finally we discuss the question of reconstructing the matrix
efficiently, and demonstrate through extensive simulations that this task can
be accomplished in nPoly(log n) operations, for small rank.


title:
Dynamical evolution of phantom scalar perturbation in the background of
  Schwarzschild black String spacetime

abstract:
  Using Leaver's continue fraction and time domain method, we study the wave
dynamics of phantom scalar perturbation in a Schwarzschild black string
spacetime. We find that the quasinormal modes contain the imprint from the
wavenumber $k$ of the fifth dimension. The late-time behaviors are dominated by
the difference between the wavenumber $k$ and the mass $\mu$ of the phantom
scalar perturbation. For $k<\mu$, the phantom scalar perturbation in the
late-time evolution grows with an exponential rate as in the four-dimensional
Schwarzschild black hole spacetime. While, for $k=\mu$, the late-time behavior
has the same form as that of the massless scalar field perturbation in the
background of a black hole. Furthermore, for $k>\mu$, the late-time evolution
of phantom scalar perturbation is dominated by a decaying tail with an
oscillation which is consistent with that of the usual massive scalar field.
Thus, the Schwarzschild black string is unstable only against the phantom
scalar perturbations which satisfy the wavelength $\lambda>2\pi/\mu$. These
information can help us know more about the wave dynamics of phantom scalar
perturbation and the properties of black string.


title: AdS/CFT aspects of the cosmological QCD phase transition

abstract:
  Recently, deeper understanding of QCD emerges from the study of the AdS/CFT
correspondence. New results include the properties of quark-gluon plasma and
the confinement/deconfinement phase transition, which are both very important
for the scenario of the QCD phase transition in the early universe. In this
paper, we study some aspects of how the new results may affect the old
calculations of the cosmological QCD phase transition, which are mainly based
on the studies of perturbative QCD, lattice QCD and the MIT bag model.


title:
The statistical restricted isometry property and the Wigner semicircle
  distribution of incoherent dictionaries

abstract:
  In this article we present a statistical version of the Candes-Tao restricted
isometry property (SRIP for short) which holds in general for any incoherent
dictionary which is a disjoint union of orthonormal bases. In addition, we show
that, under appropriate normalization, the eigenvalues of the associated Gram
matrix fluctuate around 1 according to the Wigner semicircle distribution. The
result is then applied to various dictionaries that arise naturally in the
setting of finite harmonic analysis, giving, in particular, a better
understanding on a remark of Applebaum-Howard-Searle-Calderbank concerning RIP
for the Heisenberg dictionary of chirp like functions.


title:
Computational modeling of collective human behavior: Example of
  financial markets

abstract:
  We discuss how minimal financial market models can be constructed by bridging
the gap between two existing, but incomplete, market models: a model in which a
population of virtual traders make decisions based on common global information
but lack local information from their social network, and a model in which the
traders form a dynamically evolving social network but lack any decision-making
based on global information. We show that a suitable combination of these two
models -- in particular, a population of virtual traders with access to both
global and local information -- produces results for the price return
distribution which are closer to the reported stylized facts. We believe that
this type of model can be applied across a wide range of systems in which
collective human activity is observed.


title:
Asset Allocation and Risk Assessment with Gross Exposure Constraints for
  Vast Portfolios

abstract:
  Markowitz (1952, 1959) laid down the ground-breaking work on the
mean-variance analysis. Under his framework, the theoretical optimal allocation
vector can be very different from the estimated one for large portfolios due to
the intrinsic difficulty of estimating a vast covariance matrix and return
vector. This can result in adverse performance in portfolio selected based on
empirical data due to the accumulation of estimation errors. We address this
problem by introducing the gross-exposure constrained mean-variance portfolio
selection. We show that with gross-exposure constraint the theoretical optimal
portfolios have similar performance to the empirically selected ones based on
estimated covariance matrices and there is no error accumulation effect from
estimation of vast covariance matrices. This gives theoretical justification to
the empirical results in Jagannathan and Ma (2003). We also show that the
no-short-sale portfolio is not diversified enough and can be improved by
allowing some short positions. As the constraint on short sales relaxes, the
number of selected assets varies from a small number to the total number of
stocks, when tracking portfolios or selecting assets. This achieves the optimal
sparse portfolio selection, which has close performance to the theoretical
optimal one. Among 1000 stocks, for example, we are able to identify all
optimal subsets of portfolios of different sizes, their associated allocation
vectors, and their estimated risks. The utility of our new approach is
illustrated by simulation and empirical studies on the 100 Fama-French
industrial portfolios and the 400 stocks randomly selected from Russell 3000.


title: Generalized (\kappa,\mu)-space forms

abstract:
  Generalized (\kappa ,\mu)-space forms are introduced and studied. We examine
in depth the contact metric case and present examples for all possible
dimensions. We also analyse the trans-Sasakian case.


title: The second moment of Dirichlet twists of Hecke $L$-functions

abstract:
  Fix a Hecke cusp form $f$, and consider the $L$-function of $f$ twisted by a
primitive Dirichlet character. As we range over all primitive characters of a
large modulus $q$, what is the average behavior of the square of the central
value of this $L$-function? Stefanicki proved an asymptotic valid only for $q$
having very few prime factors, and we extend this to almost all $q$.


title: Effects of Fluid Composition on Spherical Flows around Black Holes

abstract:
  Steady, spherically symmetric, adiabatic accretion and wind flows around
non-rotating black holes were studied for fully ionized, multi-component
fluids, which are described by a relativistic equation of state (EoS). We
showed that the polytropic index depends on the temperature as well as on the
composition of fluids, so the composition is important to the solutions of the
flows. We demonstrated that fluids with different composition can produce
dramatically different solutions, even if they have the same sonic point, or
they start with the same specific energy or the same temperature. Then, we
pointed that the Coulomb relaxation times can be longer than the dynamical time
in the problem considered here, and discussed the implication.


title:
Equations of state for simple liquids from the Gaussian equivalent
  representation method

abstract:
  Within the framework of Gaussian equivalent representation method a new
procedure of obtaining equations of state for simple liquids is discussed in
some technical details. The developed approach permits one to compute partition
and distribution functions for simple liquids with arbitrary form of the
central two-body potential of inter-molecular interaction. The proposed
approach might become of great use for computing thermodynamic and structural
quantities of simple particle and polymer systems. We believe that this
technique can also provide an interesting possibility to reduce the sign
problem of other methods of computer simulation based on a functional integral
approach.


title: A new model for infrared and submillimetre counts

abstract:
  A new model for source counts from 8-1100 $\mu$m is presented, which agrees
well with source-count data and the observed background spectrum. The model is
similar to that of Rowan-Robinson (2001), but with different evolution for each
of the four assumed infrared template types. The evolution is modified in two
ways; (i) the exponential factor is modified so that it tends to a constant
value at late times, (ii) the power-law factor is modified so that it tends to
zero at redshift z_f, rather than 0 as assumed by Rowan-Robinson (2001). I find
strong evidence from the 850 and 1100 mum counts, and from the infrared
background, that z_f = 4-5, with some preference for a value at the low end of
the range, implying that star-forming galaxies at z > 5 are not significant
infrared emitters, presumably due to a low opacity in dust at these early
epochs. The model involves zero or even negative evolution for starbursts and
AGN at low redshifts (<0.2), suggesting that the era of major mergers and
strong galaxy-galaxy interactions is over.


title: Statistical mechanics of gravitating systems: An Overview

abstract:
  I review several issues related to statistical description of gravitating
systems in both static and expanding backgrounds. After briefly reviewing the
results for the static background, I concentrate on gravitational clustering of
collisionless particles in an expanding universe. In particular, I describe (a)
how the non linear mode-mode coupling transfers power from one scale to another
in the Fourier space if the initial power spectrum is sharply peaked at a given
scale and (b) the asymptotic characteristics of gravitational clustering which
are independent of the initial conditions. Numerical simulations as well as
analytic work shows that power transfer leads to a universal power spectrum at
late times, somewhat reminiscent of the existence of Kolmogorov spectrum in
fluid turbulence.


title: Vacuum squeezed light for atomic memories at the D2 cesium line

abstract:
  We report the experimental generation of squeezed light at 852 nm, locked on
the Cesium D2 line. 50% of noise reduction down to 50 kHz has been obtained
with a doubly resonant optical parametric oscillator operating below threshold,
using a periodically-polled KTP crystal. This light is directly utilizable with
Cesium atomic ensembles for quantum networking applications


title:
Unexpected finite-bias visibility dependence in an electronic Mach
  Zehnder interferometer

abstract:
  We use an electronic Mach-Zehnder interferometer to explore the
non-equilibrium coherence of the electron waves within the edge-states that
form in the integral quantum Hall effect. The visibility of the interference as
a function of bias-voltage and transmission probabilities of the mirrors, which
are realized by quantum point-contacts, reveal an unexpected asymmetry at
finite bias when the transmission probability $T$ of the mirror at the input of
the interferometer is varied between 0 and 100%, while the transmission
probability of the other mirror at the output is kept fixed. This can lead to
the surprising result of an increasing magnitude of interference with
increasing bias-voltage for certain values of $T$. A detailed analysis for
various transmission probabilities and different directions of the magnetic
field demonstrates that this effect is not related to the transmission
characteristics of a single quantum point contact, but is an inherent property
of the Mach-Zehnder interferometer with edge-states.


title: Additive Bases in Abelian Groups

abstract:
  Let $G$ be a finite, non-trivial abelian group of exponent $m$, and suppose
that $B_1, ..., B_k$ are generating subsets of $G$. We prove that if $k>2m \ln
\log_2 |G|$, then the multiset union $B_1\cup...\cup B_k$ forms an additive
basis of $G$; that is, for every $g\in G$ there exist $A_1\subset B_1, ...,
A_k\subset B_k$ such that $g=\sum_{i=1}^k\sum_{a\in A_i} a$. This generalizes a
result of Alon, Linial, and Meshulam on the additive bases conjecture.
  As another step towards proving the conjecture, in the case where $B_1, ...,
B_k$ are finite subsets of a vector space we obtain lower-bound estimates for
the number of distinct values, attained by the sums of the form $\sum_{i=1}^k
\sum_{a\in A_i} a$, where $A_i$ vary over all subsets of $B_i$ for each $i=1,
>..., k$.
  Finally, we establish a surprising relation between the additive bases
conjecture and the problem of covering the vertices of a unit cube by
translates of a lattice, and present a reformulation of (the strong form of)
the conjecture in terms of coverings.


title:
Path Integral Solution of PT-/non-PT-Symmetric and non-Hermitian Morse
  Potential

abstract:
  Path integral solutions are obtained for the the PT-/non-PT-Symmetric and
non-Hermitian Morse Potential. Energy eigenvalues and the corresponding wave
functions are obtained.


title:
Connection between Wigner distribution of nonclassical fields and
  collapse-revival of atomic dynamics

abstract:
  The transient evolution of nonclassical radiation fields interacting with an
atom in a cavity is correlated to the atomic dynamics. Connection between the
atomic phases of collapse and revival, and the Wigner function pattern is
explored. Initial classical coherent field can evolve into nonclassical field.
Schrodinger cat state field is generate during the atomic collapse phase. For
initial Schrodinger cat field state, the state dissolves with time but revives
during the atomic phase that corresponds with the initial phase. More intricate
but orderly characteristics are found between the collapse-revival dynamics and
the patterns of the Wigner function for initial thermal field.


title: On Einstein - Weyl unified model of dark energy and dark matter

abstract:
  Here we give a more detailed account of the part of the conference report
that was devoted to reinterpreting the Einstein `unified models of gravity and
electromagnetism' (1923) as the unified theory of dark energy (cosmological
constant) and dark matter (neutral massive vector particle having only
gravitational interactions). After summarizing Einstein's work and related
earlier work of Weyl and Eddington, we present an approach to finding
spherically symmetric solutions of the simplest variant of the Einstein models
that was earlier mentioned in Weyl's work as an example of his generalization
of general relativity. The spherically symmetric static solutions and
homogeneous cosmological models are considered in some detail. As the theory is
not integrable we study approximate solutions. In the static case, we show that
there may exist two horizons and derive solutions near the horizons. In
cosmology, we propose to study the corresponding expansions of possible
solutions near the origin and derive these expansions in a simplified model
neglecting anisotropy. The structure of the solutions seems to hint at a
possibility of an inflation mechanism that does not require adding scalar
fields.


title: Statistical dynamics of religion evolutions

abstract:
  A religion affiliation can be considered as a "degree of freedom" of an agent
on the human genre network. A brief review is given on the state of the art in
data analysis and modelization of religious "questions" in order to suggest and
if possible initiate further research, ... after using a "statistical physics
filter". We present a discussion of the evolution of 18 so called religions, as
measured through their number of adherents between 1900 and 2000. Some emphasis
is made on a few cases presenting a minimum or a maximum in the investigated
time range, - thereby suggesting a competitive ingredient to be considered,
beside the well accepted "at birth" attachement effect. The importance of the
"external field" is still stressed through an Avrami late stage crystal
growth-like parameter. The observed features and some intuitive interpretations
point to opinion based models with vector, rather than scalar, like agents.


title:
Triggered star formation on the borders of the Galactic HII region RCW
  82

abstract:
  We are engaged in a multi-wavelength study of several Galactic HII regions
that exhibit signposts of triggered star formation on their borders, and where
the collect and collapse process could be at work. When addressing the question
of triggered star formation it is critically important to ensure the real
association between the ionized gas and the neutral material observed nearby.
In this paper we stress this point, and present CO observations of the RCW 82
star forming region. The velocity distribution of the molecular gas is combined
with the study of young stellar objects (YSOs) detected in the direction of RCW
82. We discuss the YSO's evolutionary status using near- and mid-IR data. The
spatial and velocity distributions of the molecular gas are used to discuss the
possible scenarios for the star formation around RCW 82.


title: Property A and asymptotic dimension

abstract:
  The purpose of this note is to characterize the asymptotic dimension
$asdim(X)$ of metric spaces $X$ in terms similar to Property A of Yu:
  If $(X,d)$ is a metric space and $n\ge 0$, then the following conditions are
equivalent: [a.] $asdim(X,d)\leq n$, [b.] For each $R,\epsilon > 0$ there is $S
> 0$ and finite non-empty subsets $A_x\subset B(x,S)\times N$, $x\in X$, such
that $\frac{| A_x\Delta A_y|}{| A_x\cap A_y|} < \epsilon$ if $d(x,y) < R$ and
the projection of $A_x$ onto $X$ contains at most $n+1$ elements for all $x\in
X$, [c.] For each $R > 0$ there is $S > 0$ and finite non-empty subsets
$A_x\subset B(x,S)\times N$, $x\in X$, such that $\frac{| A_x\Delta A_y|}{|
A_x\cap A_y|} < \frac{1}{n+1}$ if $d(x,y) < R$ and the projection of $A_x$ onto
$X$ contains at most $n+1$ elements for all $x\in X$.


title: Duality approach to one-dimensional degenerate electronic systems

abstract:
  We investigate the possible classification of zero-temperature spin-gapped
phases of multicomponent electronic systems in one spatial dimension. At the
heart of our analysis is the existence of non-perturbative duality symmetries
which emerge within a low-energy description. These dualities fall into a
finite number of classes that can be listed and depend only on the algebraic
properties of the symmetries of the system: its physical symmetry group and the
maximal continuous symmetry group of the interaction. We further characterize
possible competing orders associated to the dualities and discuss the nature of
the quantum phase transitions between them. Finally, as an illustration, the
duality approach is applied to the description of the phases of two-leg
electronic ladders for incommensurate filling.


title:
Wegner-type bounds for a two-particle continuous Anderson model with an
  alloy-type external potential

abstract:
  We consider a two-particle quantum systems in a d-dimensional Euclidean space
with interaction and in presence of a random external potential (a continuous
two-particle Anderson model). We establish Wegner-type estimates (inequalities)
for such models, assessing the probability that random spectra of Hamiltonians
in finite volumes intersect a given set.


title: Multi-Cuts Solutions of Laplacian Growth

abstract:
  A new class of solutions to Laplacian growth with zero surface tension is
presented and shown to contain all other known solutions as special or limiting
cases. These solutions, which are time-dependent conformal maps with branch
cuts inside the unit circle, are governed by a nonlinear integral equation and
describe oil fjords with non-parallel walls in viscous fingering experiments in
Hele-Shaw cells. Integrals of motion for the multi-cut Laplacian growth
solutions in terms of singularities of the Schwarz function are found, and the
dynamics of densities (jumps) on the cuts are derived. The subclass of these
solutions with linear Cauchy densities on the cuts of the Schwarz function is
of particular interest, because in this case the integral equation for the
conformal map becomes linear. These solutions can also be of physical
importance by representing oil/air interfaces, which form oil fjords with a
constant opening angle, in accordance with recent experiments in a Hele-shaw
cell.


title:
Poynting-Robertson Effect on the Lyapunov Stability of Equilibrium
  Points in the Generalized Photogravitational Chermnykh's Problem

abstract:
  The Poynting-Robertson(P-R) effect on Lyapunov stability of equilibrium
points is being discussed in the the generalized photogravitational Chermnykh's
problem when bigger primary is a sours of radiation and smaller primary is an
oblate spheriod. We derived the equations of motion, obtained the equilibrium
points and examined the linear stability of the equilibrium points for various
values of parameter which have been used in the present problem. We have
examined the effect of gravitational potential from the belt. The positions of
the equilibrium points are different from the position in classical case. We
have seen that due to the P-R effect all the equilibrium points are unstable in
Lyapunov sense.


title: Dunkl Operators and Canonical Invariants of Reflection Groups

abstract:
  Using Dunkl operators, we introduce a continuous family of canonical
invariants of finite reflection groups. We verify that the elementary canonical
invariants of the symmetric group are deformations of the elementary symmetric
polynomials. We also compute the canonical invariants for all dihedral groups
as certain hypergeometric functions.


title: Central extensions of current algebras

abstract:
  This is an old paper put here for archeological purposes. We compute the
second cohomology of current Lie algebras of the form $L\otimes A$, where $L$
belongs to some class of Lie algebras which includes classical simple and
Zassenhaus algebras, and of some modular semisimple Lie algebras. The results
are largely superseded by subsequent papers, though, perhaps, some tricks and
observations used here remain of minor interest.


title: Star-forming galaxies in SDSS: signs of metallicity evolution

abstract:
  Evolution of galaxies through cosmic time has been widely studied at high
redshift, but there are a few studies in this field at lower redshifts.
However, low-redshifts studies will provide important clues to the evolution of
galaxies, furnishing the required link between local and high-redshift
universe. In this work we focus on the metallicity of the gas in spiral
galaxies at low redshift looking for signs of chemical evolution. We analyze
the metallicity contents of star forming galaxies of similar luminosities at
different redshifts, we studied the metallicity of star forming galaxies from
SDSS-DR5 (Sloan Digital Sky Survey-Data Release 5), using different redshift
intervals from 0.1 to 0.4. We used the public data of SDSS-DR5 processed with
the STARLIGHT spectral synthesis code, correcting the fluxes for dust
extinction, estimating metallicities using the R23 method, and analyzing the
samples with respect to the [NII]6583/[OII]3727 line ratio. From a final sample
of 207 galaxies, we find a decrement in 12+log(O/H) corresponding to the
redshift interval 0.3 < z < 0.4 of ~0.1 dex with respect to the rest of the
sample, which can be interpreted as evidence of the metallicity evolution in
low-z galaxies.


title:
Wegner-type bounds for a two-particle Anderson model in a continuous
  space

abstract:
  We analyse a two-particle quantum system in $\R^d$ with interaction and in
presence of a random external potential field with a continuous argument (an
Anderson model in a continuous space). Our aim is to establish the so-called
Wegner-type estimates for such a model, assessing the probability that random
spectra of Hamiltonians in finite volumes intersect with a given set. For the
lattice version of the two-particle model, a similar result was obtained in [8]


title: Nonparametric Estimation of Variance Function for Functional Data

abstract:
  This article investigates nonparametric estimation of variance functions for
functional data when the mean function is unknown. We obtain asymptotic results
for the kernel estimator based on squared residuals. Similar to the finite
dimensional case, our asymptotic result shows the smoothness of the unknown
mean function has an effect on the rate of convergence. Our simulaton studies
demonstrate that estimator based on residuals performs much better than that
based on conditional second moment of the responses.


title: Statistical physics of power fluctuations in mode locked lasers

abstract:
  We present an analysis of the power fluctuations in the statistical steady
state of a passively mode locked laser. We use statistical light-mode theory to
map this problem to that of fluctuations in a reference equilibrium statistical
physics problem, and in this way study the fluctuations non-perturbatively. The
power fluctuations, being non-critical, are Gaussian and proportional in
amplitude to the inverse square root of the number of degrees of freedom. We
calculate explicit analytic expressions for the covariance matrix of the
overall, pulse and cw power variables, providing complete information on the
single-time power distribution in the laser, and derive a set of
fluctuation-dissipation relations between them and the susceptibilities of the
steady-state quantities.


title:
Specific Na+ and K+ Cation Effects on the Interfacial Water Molecules at
  the Air/Aqueous Salt Solution Interfaces Probed with Non-resonant Second
  Harmonic Generation (SHG)

abstract:
  Here we report the polarization dependent non-resonant second harmonic
generation (SHG) measurement of the interfacial water molecules at the aqueous
solution of the following salts: NaF, NaCl, NaBr, KF, KCl, and KBr. Through
quantitative polarization analysis of the SHG data,the orientational parameter
D value and the relative surface density of the interfacial water molecules at
these aqueous solution surfaces were determined. From these results we found
that addition of each of the six salts caused increase of the thickness of the
interfacial water layer at the surfaces to a certain extent. Noticeably, both
the cations and the anions contributed to the changes, and the abilities to
increase the thickness of the interfacial water layer were in the following
order: KBr > NaBr > KCl > NaCl ~ NaF > KF. Since these changes can not be
factorized into individual anion and cation contributions, there are possible
ion pairing or association effects, especially for the NaF case. We also found
that the orientational parameter D values of the interfacial water molecules
changed to opposite directions for the aqueous solutions of the three sodium
salts versus the aqueous solutions of the three potassium salts. These findings
clearly indicated unexpected specific Na+ and K+ cation effects at the aqueous
solution surface. These effects were not anticipated from the recent molecular
dynamics (MD) simulation results, which concluded that the Na+ and K+ cations
can be treated as small non-polarizable hard ions and they are repelled from
the aqueous interfaces. These results suggest that the electrolyte aqueous
solution surfaces are more complex than the currently prevalent theoretical and
experimental understandings.


title: Low-Energy Constants from Resonance Chiral Theory

abstract:
  I discuss the recent attempts to build an effective chiral Lagrangian
incorporating massive resonance states. A useful approximation scheme to
organize the resonance Lagrangian is provided by the large-Nc limit of QCD.
Integrating out the resonance fields, one recovers the usual chiral
perturbation theory Lagrangian with explicit values for the low-energy
constants, parameterized in terms of resonance masses and couplings. The
resonance chiral theory generates Green functions that interpolate between QCD
and chiral perturbation theory. Analyzing these Green functions, both for large
and small momenta, one gets QCD constraints on the resonance couplings and,
therefore, information on the low-energy constants governing the Goldstone
interactions.


title:
Spectroscopic Evidence for the Specific Na+ and K+ Interactions with the
  Hydrogen-bonded Water Molecules at the Electrolyte Aqueous Solution Surfaces

abstract:
  Sum frequency generation vibrational spectra of the water molecules at the
NaF and KF aqueous solution surfaces showed significantly different spectral
features and different concentration dependence. This result is the first
direct observation of the cation effects of the simple alkali cations, which
have been believed to be depleted from the aqueous surface, on the hydrogen
bonding structure of the water molecules at the electrolyte solution surfaces.
These observations may provide important clue to understand the fundamental
phenomenon of ions at the air/water interface.


title: Ghost imaging with a single detector

abstract:
  We experimentally demonstrate pseudothermal ghost imaging and ghost
diffraction using only a single single-pixel detector. We achieve this by
replacing the high resolution detector of the reference beam with a computation
of the propagating field, following a recent proposal by Shapiro [J. H.
Shapiro, arXiv:0807.2614 (2008)]. Since only a single detector is used, this
provides an experimental evidence that pseudothermal ghost imaging does not
rely on non-local quantum correlations. In addition, we show the
depth-resolving capability of this ghost imaging technique.


title: Localization with Less Larmes: Simply MSA

abstract:
  We give a short summary of the fixed-energy Multi-Scale Analysis (MSA) of the
Anderson tight binding model in dimension $d\ge 1$ and show that this technique
admits a straightforward extension to multi-particle systems. We hope that this
short note may serve as an elementary introduction to the MSA.


title: Pulsar Navigation in the Solar System

abstract:
  The X-ray Navigation and Autonomous position Verification (XNAV) is tested
which use the Crab pulsar under the Space Test Program that use starlight
refraction. It provide the way that the spacecraft could autonomously determine
its position with respect to an inertial origin. Now we analysis the
sensitivity of the exist instrument and the signal process that use radio
pulsar navigation and discuss the integrated navigation which use radio pulsar,
then give the different navigation mission analysis and design process
basically which include the space, the airborne, the ship and the land of the
planet or the lunar. Our analysis show that we will have the stability profile
(signal-to-noise is 5) that use a 2 meters antenna observe some strong sources
of radio pulsar in 36 minutes which based on the today's technology. So the
pulsar navigation can give the continuous position in deep space, hat means we
can freedom fly successfully in the solar system use celestial navigation that
include pulsar and traditional star sensor. It also can less or abolish the
dependence to Global Navigation Satellite System (GNSS) which include GPS,
GRONSS, Galileo and BeiDou et al.


title:
Approximating the least hypervolume contributor: NP-hard in general, but
  fast in practice

abstract:
  The hypervolume indicator is an increasingly popular set measure to compare
the quality of two Pareto sets. The basic ingredient of most hypervolume
indicator based optimization algorithms is the calculation of the hypervolume
contribution of single solutions regarding a Pareto set. We show that exact
calculation of the hypervolume contribution is #P-hard while its approximation
is NP-hard. The same holds for the calculation of the minimal contribution. We
also prove that it is NP-hard to decide whether a solution has the least
hypervolume contribution. Even deciding whether the contribution of a solution
is at most $(1+\eps)$ times the minimal contribution is NP-hard. This implies
that it is neither possible to efficiently find the least contributing solution
(unless $P = NP$) nor to approximate it (unless $NP = BPP$).
  Nevertheless, in the second part of the paper we present a fast approximation
algorithm for this problem. We prove that for arbitrarily given $\eps,\delta>0$
it calculates a solution with contribution at most $(1+\eps)$ times the minimal
contribution with probability at least $(1-\delta)$. Though it cannot run in
polynomial time for all instances, it performs extremely fast on various
benchmark datasets. The algorithm solves very large problem instances which are
intractable for exact algorithms (e.g., 10000 solutions in 100 dimensions)
within a few seconds.


title: Quantum transport through molecular wires

abstract:
  We explore electron transport properties in molecular wires made of
heterocyclic molecules (pyrrole, furan and thiophene) by using the Green's
function technique. Parametric calculations are given based on the
tight-binding model to describe the electron transport in these wires. It is
observed that the transport properties are significantly influenced by (a) the
heteroatoms in the heterocyclic molecules and (b) the molecule-to-electrodes
coupling strength. Conductance ($g$) shows sharp resonance peaks associated
with the molecular energy levels in the limit of weak molecular coupling, while
they get broadened in the strong molecular coupling limit. These resonances get
shifted with the change of the heteroatoms in these heterocyclic molecules. All
the essential features of the electron transfer through these molecular wires
become much more clearly visible from the study of our current-voltage
($I$-$V$) characteristics, and they provide several key informations in the
study of molecular transport.


title:
Localization of massive fermions on the baby-skyrmion branes in 6
  dimensions

abstract:
  We construct brane solutions in 6 dimensional Einstein-Skyrme systems. A
class of baby skyrmion solutions realizes warped compactification of the extra
dimensions and gravity localization on the brane for negative bulk cosmological
constant. Coupling of the fermions with the brane skyrmions lead to the brane
localized fermions. In terms of the level crossing picture, emergence of the
massive localized modes as well as the zero mode are observed. Nonlinear nature
of the skyrmions brings richer information for the fermions level structure.
The level comprises doubly degenerate lowest plus single excited modes. The
three generation of the fundamental fermions is based on this structure. The
quark/lepton mass hierarchy is successfully obtained in terms of a slightly
deformed baby-skyrmions with topological charge three.


title: Stable isomorphism of dual operator spaces

abstract:
  We prove that two dual operator spaces $X$ and $Y$ are stably isomorphic if
and only if there exist completely isometric normal representations $\phi$ and
$\psi$ of $X$ and $Y$, respectively, and ternary rings of operators $M_1, M_2$
such that $\phi (X)= [M_2^*\psi (Y)M_1]^{-w^*}$ and $\psi (Y)=[M_2\phi
(X)M_1^*].$ We prove that this is equivalent to certain canonical dual operator
algebras associated with the operator spaces being stably isomorphic. We apply
these operator space results to prove that certain dual operator algebras are
stably isomorphic if and only if they are isomorphic. We provide examples
motivated by CSL algebra theory.


title: Intensity Scintillation and Astronomical Quantum Observation

abstract:
  Holography is 3D imaging which can record intensity and phase at the same
time. The importance of construct hologram is holographic recording and
wavefront reconstruction. It is surprised that holography be discovered in
study interstellar scintillation for pulsar provide a coherent light source
recently. I think that is speckle hologram and speckle interference(i.e.
intensity interference), and use modern technique which include phased
array,CCD, digital signal processing and supercomputer can achieve that digital
and computer holography from radio to X-ray astronomy. This means we can use it
to image the universe and beyond the limited of telescope for cosmos provide
much coherent light from pulsar,maser, black hole to 21cm recombination line.
It gives a probe to the medium of near the black hole et al. From those
coherent light sources in the sky, we can uncover one different universe that
through astronomical quantum observation which use intensity interference.


title: On the origin of macroturbulence in hot stars

abstract:
  Since the use of high-resolution high signal-to-noise spectroscopy in the
study of massive stars, it became clear that an ad-hoc velocity field at the
stellar surface, termed macroturbulence, is needed to bring the observed shape
of spectral lines into agreement with observations. We seek a physical
explanation of this unknown broadening mechanism. We interprete the missing
line broadening in terms of collective pulsational velocity broadening due to
non-radial gravity-mode oscillations. We also point out that the rotational
velocity can be seriously underestimated whenever the line profiles are fitted
assuming a Gaussian macroturbulent velocity rather than an appropriate
pulsational velocity expression.


title: Conformal Killing graphs with prescribed mean curvature

abstract:
  We prove the existence and uniqueness of graphs with prescribed mean
curvature function in a large class of Riemannian manifolds which comprises
spaces endowed with a conformal Killing vector field.


title:
Compact Kaehler quotients of algebraic varieties and Geometric Invariant
  Theory

abstract:
  Given an action of a complex reductive Lie group G on a normal variety X, we
show that every analytically Zariski-open subset of X admitting an analytic
Hilbert quotient with projective quotient space is given as the set of
semistable points with respect to some G-linearised Weil divisor on X.
  Applying this result to Hamiltonian actions on algebraic varieties we prove
that semistability with respect to a momentum map is equivalent to
GIT-semistability in the sense of Mumford and Hausen. It follows that the
number of compact momentum map quotients of a given algebraic Hamiltonian
G-variety is finite. As further corollary we derive a projectivity criterion
for varieties with compact Kaehler quotient.
  Additionally, as a byproduct of our discussion we give an example of a
complete Kaehlerian non-projective algebraic surface, which may be of
independent interest.


title: Examples of scalar-flat hypersurfaces in $\mathbb{R}^{n+1}$

abstract:
  Given a hypersurface $M$ of null scalar curvature in the unit sphere
$\mathbb{S}^n$, $n\ge 4$, such that its second fundamental form has rank
greater than 2, we construct a singular scalar-flat hypersurface in $\Rr^{n+1}$
as a normal graph over a truncated cone generated by $M$. Furthermore, this
graph is 1-stable if the cone is strictly 1-stable.


title: Zero Modes for the Boundary Giant Magnons

abstract:
  We study the fermion zero-mode dynamics for open strings ending on the giant
graviton branes. For the open string ending on the Z=0 brane, the quantization
of the fermion zero-modes of boundary giant magnons reproduces the 256 states
of the boundary degrees with the precise realization of the SU(2|2) X SU(2|2)
symmetry algebra. Also for the open string ending on the Y=0 brane, we
reproduce the unique vacuum state from the fermion zero-modes.


title: Higher order Schwarzian derivatives in interval dynamics

abstract:
  We introduce an infinite sequence of higher order Schwarzian derivatives
closely related to the theory of monotone matrix functions. We generalize the
classical Koebe lemma to maps with positive Schwarzian derivatives up to some
order, obtaining control over derivatives of high order. For a large class of
multimodal interval maps we show that all inverse branches of first return maps
to sufficiently small neighbourhoods of critical values have their higher order
Schwarzian derivatives positive up to any given order.


title: A lower bound on Seshadri constants of hyperplane bundles on threefolds

abstract:
  We give the lower bound on Seshadri constants for the case of very ample line
bundles on threefolds. We consider the situation when the Seshadri constant is
strictly less than 2 and give a version of Bauer's theorem \cite[Theorem
2.1]{B1} for singular surfaces so we can prove the same result for smooth
threefolds.