title:
Orbital Optimization in the Density Matrix Renormalization Group, with
  applications to polyenes and \beta-carotene

abstract:
  In previous work we have shown that the Density Matrix Renormalization Group
(DMRG) enables near-exact calculations in active spaces much larger than are
possible with traditional Complete Active Space algorithms. Here, we implement
orbital optimisation with the Density Matrix Renormalization Group to further
allow the self-consistent improvement of the active orbitals, as is done in the
Complete Active Space Self-Consistent Field (CASSCF) method. We use our
resulting DMRGCASSCF method to study the low-lying excited states of the
all-trans polyenes up to C24H26 as well as \beta-carotene, correlating with
near-exact accuracy the optimised complete \pi-valence space with up to 24
active electrons and orbitals, and analyse our results in the light of the
recent discovery from Resonance Raman experiments of new optically dark states
in the spectrum.


title: Tame nonsmooth inverse mapping theorems

abstract:
  We give several versions of local and global inverse mapping theorem for tame
non necessarily smooth, mappings. Here tame mapping means a mapping which is
subanalytic or, more generally, definable in some o-minimal structure. Our
sufficient conditions are formulated in terms of various properties (convexity,
positivity of some principal minors, contractiblity) of the space of Jacobi's
matrices at smooth points.


title: String Gas Cosmology and Non-Gaussianities

abstract:
  Recently it has been shown that string gas cosmology, an alternative model of
the very early universe which does not involve a period of cosmological
inflation, can give rise to an almost scale invariant spectrum of metric
perturbations. Here we calculate the non-Gaussianities of the spectrum of
cosmological fluctuations in string gas cosmology, and find that these
non-Gaussianities depend linearly on the wave number and that their amplitude
depends sensitively on the string scale. If the string scale is at the TeV
scale, string gas cosmology could lead to observable non-Gaussianities, if it
is close to the Planck scale, then the non-Gaussianities on current
cosmological scales are negligible.


title:
Effect of Electro-Diffusion Current Flow on Electrostatic Screening in
  Aqueous Pores

abstract:
  A numerical study within the framework of the Poisson-Nernst-Planck equations
is conducted to investigate electrostatic screening of charged bio-molecules
within synthetic pores having diameters of at least 10 Debye lengths. We show
that with external biases, the bio-molecule charge is only partially screened
due to the presence of electrodiffusion current flow. This is considerably
different from the equilibrium Debye-Huckel screening behavior and will result
in long-range electrostatic interactions. The potential application to direct
bio-molecule charge sensing is also discussed.


title:
Spinning superstrings at two loops: strong-coupling corrections to
  dimensions of large-twist SYM operators

abstract:
  We consider folded spinning strings in AdS_5xS^5 (with one spin component S
in AdS_5 and J in S^5) corresponding to the Tr(D^S Z^J) operators in the sl(2)
sector of the N=4 SYM theory in the special scaling limit in which both the
string mass M ~ \sqrt \lambda \ln S and J are sent to infinity with their ratio
fixed. Expanding in the parameter \el= J/M we compute the 2-loop string sigma
model correction to the string energy and show that it agrees with the
expression proposed by Alday and Maldacena in arxiv:0708.0672. We suggest that
a resummation of the logarithmic \el^2 \ln^n \el terms is necessary in order to
establish an interpolation to the weakly coupled gauge theory results. In the
process, we set up a general framework for the calculation of higher loop
corrections to the energy of multi-spin string configurations. In particular,
we find that in addition to the direct 2-loop term in the string energy there
is a contribution from lower loop order due to a finite ``renormalization'' of
the relation between the parameters of the classical solution and the fixed
spins, i.e. the charges of the SO(2,4) x SO(6) symmetry.


title: Takacs' asymptotic theorem and its applications: A survey

abstract:
  The book of Lajos Tak\'acs \emph{Combinatorial Methods in the Theory of
Stochastic Processes} has been published in 1967. It discusses various problems
associated with $$ P_{k,i}=\mathrm{P}{\sup_{1\leq
n\leq\rho(i)}(N_n-n)<k-i},\leqno(*) $$ where $N_n=\nu_1+\nu_2...+\nu_n$ is a
sum of mutually independent, nonnegative integer and identically distributed
random variables, $\pi_j=\mathrm{P}\{\nu_k=j\}$, $j\geq0$, $\pi_0>0$, and
$\rho(i)$ is the smallest $n$ such that $N_n=n-i$, $i\geq1$. (If there is no
such $n$, then $\rho(i)=\infty$.)
  (*) is a discrete generalization of the classic ruin probability, and its
value is represented as $P_{k,i}={Q_{k-i}}/{Q_k}$, where the sequence
$\{Q_k\}_{k\geq0}$ satisfies the recurrence relation of convolution type:
$Q_0\neq0$ and $Q_k=\sum_{j=0}^k\pi_jQ_{k-j+1}$.
  Since 1967 there have been many papers related to applications of the
generalized classic ruin probability. The present survey concerns only with one
of the areas of application associated with asymptotic behavior of $Q_k$ as
$k\to\infty$. The theorem on asymptotic behavior of $Q_k$ as $k\to\infty$ and
further properties of that limiting sequence are given on pages 22-23 of the
aforementioned book by Tak\'acs. In the present survey we discuss applications
of Tak\'acs' asymptotic theorem and other related results in queueing theory,
telecommunication systems and dams. Many of the results presented in this
survey have appeared recently, and some of them are new. In addition, further
applications of Tak\'acs' theorem are discussed.


title:
A Higher Order Non--Linear Differential Equation and a Generalization of
  the Airy Function

abstract:
  In this paper a higher order non-linear differential equation is given and it
becomes a higher order Airy equation (in our terminology) under the Cole-Hopf
transformation.
  For the even case a solution is explicitly constructed, which is a
generalization of the Airy function.


title:
Stationary solutions of driven fourth- and sixth-order Cahn-Hilliard
  type equations

abstract:
  New types of stationary solutions of a one-dimensional driven sixth-order
Cahn-Hilliard type equation that arises as a model for epitaxially growing
nano-structures such as quantum dots, are derived by an extension of the method
of matched asymptotic expansions that retains exponentially small terms. This
method yields analytical expressions for far-field behavior as well as the
widths of the humps of these spatially non-monotone solutions in the limit of
small driving force strength which is the deposition rate in case of epitaxial
growth. These solutions extend the family of the monotone kink and antikink
solutions. The hump spacing is related to solutions of the Lambert $W$
function. Using phase space analysis for the corresponding fifth-order
dynamical system, we use a numerical technique that enables the efficient and
accurate tracking of the solution branches, where the asymptotic solutions are
used as initial input. Additionally, our approach is first demonstrated for the
related but simpler driven fourth-order Cahn-Hilliard equation, also known as
the convective Cahn-Hilliard equation.


title:
Lie Group Action and Stability Analysis of Stationary Solutions for a
  Free Boundary Problem Modelling Tumor Growth

abstract:
  In this paper we study asymptotic behavior of solutions for a
multidimensional free boundary problem modelling the growth of nonnecrotic
tumors. We first establish a general result for differential equations in
Banach spaces possessing a local Lie group action which maps a solution into
new solutions. We prove that a center manifold exists under certain assumptions
on the spectrum of the linearized operator without assuming that the space in
which the equation is defined is of either $D_A(\theta)$ or
$D_A(\theta,\infty)$ type. By using this general result and making delicate
analysis of the spectrum of the linearization of the stationary free boundary
problem, we prove that if the surface tension coefficient $\gamma$ is larger
than a threshold value $\gamma^\ast$ then the unique stationary solution is
asymptotically stable modulo translations, provided the constant $c$
representing the ratio between the nutrient diffusion time and the tumor-cell
doubling time is sufficiently small, whereas if $\gamma< \gamma^\ast$ then this
stationary solution is unstable.


title:
Asymptotic Stability of the Stationary Solution for a Hyperbolic Free
  Boundary Problem Modeling Tumor Growth

abstract:
  In this paper we study asymptotic behavior of solutions for a free boundary
problem modeling the growth of tumors containing two species of cells:
proliferating cells and quiescent cells. This tumor model was proposed by
Pettet et al in {\em Bull. Math. Biol.} (2001). By using a functional approach
and the $C_0$ semigroup theory, we prove that the unique stationary solution of
this model ensured by the work of Cui and Friedman ({\em Trans. Amer. Math.
Soc.}, 2003) is locally asymptotically stable in certain function spaces. Key
techniques used in the proof include an improvement of the linear estimate
obtained by the work of Chen et al ({\em Trans. Amer. Math. Soc.}, 2005), and a
similarity transformation.


title: Planckian Birth of the Quantum de Sitter Universe

abstract:
  We show that the quantum universe emerging from a nonperturbative, Lorentzian
sum-over-geometries can be described with high accuracy by a four-dimensional
de Sitter spacetime. By a scaling analysis involving Newton's constant, we
establish that the linear size of the quantum universes under study is in
between 17 and 28 Planck lengths. Somewhat surprisingly, the measured quantum
fluctuations around the de Sitter universe in this regime are to good
approximation still describable semiclassically. The numerical evidence
presented comes from a regularization of quantum gravity in terms of causal
dynamical triangulations.


title: Entangling identical bosons in optical tweezers via exchange interaction

abstract:
  We first devise a scheme to perform a universal entangling gate via
controlled collisions between pairs of atomic qubits trapped with optical
tweezers. Second, we present a modification to this scheme to allow the
preparation of atomic Bell pairs via selective excitation, suitable for quantum
information processing applications that do not require universality. Both
these schemes are enabled by the inherent symmetries of identical composite
particles, as originally proposed by Hayes et al. Our scheme provides a
technique for producing weighted graph states, entangled resources for quantum
communication, and a promising approach to performing a "loophole free" Bell
test in a single laboratory.


title:
Comment on Papers by Foot, Kobakhidze, McDonald and Volkas Relating to
  Scale Invariance Symmetry

abstract:
  We point out that the works described by Foot et al. in arXiv:0706.1829
[hep-ph] and arXiv:0709.2750 [hep-ph] are derivatives of our work described in
arXiv:hep-th/0403039, the extended version of which was published in "Standard
Model and SU(5) GUT with Local Scale Invariance and the Weylon", AIP Conf.
Proc. 881 (2007) pp. 82, Melville, New York, 2006. We are wondering how many
motions (and publications!) they will go through before finally admitting that
they have re-discovered our model, and of course, as is the usual practice
these days, claiming afterwards to the world of their independent arrival at
our model. Reference to our original work is long overdue.


title: Nearly tri-bimaximal mixing in the S_3 flavour symmetry

abstract:
  We present an analysis of the theoretical neutrino mixing matrix,
V_{PMNS}^{th}, previously derived in the framework of the minimal S_3-invariant
extension of the Standard Model. All entries in the neutrino mixing matrix,
V_{PMNS}^{th}, the mixing angles and the Majorana phases are given as exact,
explicit analytical functions of the mass ratios of the charged leptons and
neutrinos, and one Dirac phase, in excellent agreement with the the latest
experimental data. Here, it will be shown that all entries in V_{PMNS}^{th} are
numerically very close to the tri-bimaximal form of the neutrino mixing matrix,
so that V_{PMNS}^{th} may be written as V^{tri}+\Delta V_{PMNS}^{tri}. The
small correction \Delta V_{PMNS}^{tri} is expressed as a sum of two terms:
first, a small correction term proportional to m_{e}/m_{\mu} depending only on
the charged lepton mass ratios and, second, a Cabbibo-like, small term, \delta
t_{12}, which is a function of both the charged lepton and the neutrino mass
ratios.


title:
Habitable Planet Formation in Extreme Planetary Systems: Systems with
  Multiple Stars and/or Multiple Planets

abstract:
  Understanding the formation and dynamical evolution of habitable planets in
extrasolar planetary systems is a challenging task. In this respect, systems
with multiple giant planets and/or multiple stars present special
complications. The formation of habitable planets in these environments is
strongly affected by the dynamics of their giant planets and/or their stellar
companions. These objects have profound effects on the structure of the disk of
planetesimals and protoplanetary objects in which terrestrial-class planets are
formed. To what extent the current theories of planet formation can be applied
to such "extreme" planetary systems depends on the dynamical characteristics of
their planets and/or their binary stars. In this paper, I present the results
of a study of the possibility of the existence of Earth-like objects in systems
with multiple giant planets (namely Upsilon Andromedae, 47 UMa, GJ 876, and 55
Cnc) and discuss the dynamics of the newly discovered Neptune-size object in 55
Cnc system. I will also review habitable planet formation in binary systems and
present the results of a systematic search of the parameter-space for which
Earth-like objects can form and maintain long-term stable orbits in the
habitable zones of binary stars.


title:
The standard fair sampling assumption is not necessary to test local
  realism

abstract:
  Almost all Bell-inequality experiments to date have used postselection, and
therefore relied on the fair sampling assumption for their interpretation. The
standard form of the fair sampling assumption is that the loss is independent
of the measurement settings, so the ensemble of detected systems provides a
fair statistical sample of the total ensemble. This is often assumed to be
needed to interpret Bell inequality experiments as ruling out hidden-variable
theories. Here we show that it is not necessary; the loss can depend on
measurement settings, provided the detection efficiency factorises as a
function of the measurement settings and any hidden variable. This condition
implies that Tsirelson's bound must be satisfied for entangled states. On the
other hand, we show that it is possible for Tsirelson's bound to be violated
while the CHSH-Bell inequality still holds for unentangled states, and present
an experimentally feasible example.


title: Co-occurrence Network of Reuters News

abstract:
  Networks describe various complex natural systems including social systems.
We investigate the social network of co-occurrence in Reuters-21578 corpus,
which consists of news articles that appeared in the Reuters newswire in 1987.
People are represented as vertices and two persons are connected if they
co-occur in the same article. The network has small-world features with
power-law degree distribution. The network is disconnected and the component
size distribution has power law characteristics. Community detection on a
degree-reduced network provides meaningful communities. An edge-reduced
network, which contains only the strong ties has a star topology.
  "Importance" of persons are investigated. The network is the situation in
1987. After 20 years, a better judgment on the importance of the people can be
done. A number of ranking algorithms, including Citation count, PageRank, are
used to assign ranks to vertices. The ranks given by the algorithms are
compared against how well a person is represented in Wikipedia. We find up to
medium level Spearman's rank correlations. A noteworthy finding is that
PageRank consistently performed worse than the other algorithms. We analyze
this further and find reasons.


title: ASTROD and ASTROD I -- Overview and Progress

abstract:
  In this paper, we present an overview of ASTROD (Astrodynamical Space Test of
Relativity using Optical Devices) and ASTROD I mission concepts and studies.
The missions employ deep-space laser ranging using drag-free spacecraft to map
the gravitational field in the solar-system. The solar-system gravitational
field is determined by three factors: the dynamic distribution of matter in the
solar system; the dynamic distribution of matter outside the solar system
(galactic, cosmological, etc.) and gravitational waves propagating through the
solar system. Different relativistic theories of gravity make different
predictions of the solar-system gravitational field. Hence, precise
measurements of the solar-system gravitational field test all these. The tests
and observations include: (i) a precise determination of the relativistic
parameters beta and gamma with 3-5 orders of magnitude improvement over
previous measurements; (ii) a 1-2 order of magnitude improvement in the
measurement of G-dot; (iii) a precise determination of any anomalous, constant
acceleration Aa directed towards the Sun; (iv) a measurement of solar angular
momentum via the Lense-Thirring effect; (v) the detection of solar g-mode
oscillations via their changing gravity field, thus, providing a new eye to see
inside the Sun; (vi) precise determination of the planetary orbit elements and
masses; (viii) better determination of the orbits and masses of major
asteroids; (ix) detection and observation of gravitational waves from massive
black holes and galactic binary stars in the frequency range 0.05 mHz to 5 mHz;
and (x) exploring background gravitational-waves.


title:
Evaluation of the Permutational Structure of the Canonical Ensemble
  Partition Function

abstract:
  Proposed is an alternative method for permutational sampling in quantum gases
using the path integral formulation of statistical mechanics. It is shown that
in principle we are able to use two operators which enable us to construct a
Markov chain through a graph of the irreducible representation of the symmetric
group. As an illustration of this method, a test calculation of four particles
in a harmonic trap is performed.


title:
Divergence of combinatorial averages and the unboundedness of the
  trilinear Hilbert transform

abstract:
  We consider multilinear averages in ergodic theory and harmonic analysis and
prove their divergence in some range of $L^p$ spaces, with $p$ close enough to
1. We also prove that the trilinear Hilbert transform is unbounded in a similar
range of $L^p$ spaces.


title: On the Quantum Instability of Attractive Bose Systems

abstract:
  We explore the zero-temperature behavior of an assembly of bosons interacting
through a zero-range, attractive potential. Because the two-body interaction
admits a bound state, the many-body model is best described by a Hamiltonian
that includes the coupling between atomic and molecular components. Due to the
positive scattering length, the low-density collection is expected to remain
stable against collapse despite the attraction between particles. Although a
variational many-body analysis indicates a collapsing solution with only a
molecular component to its condensate at low density, the expected atomic
condensate solution can be obtained if the chemical potential is allowed to be
complex valued. In addition to revealing two discrete eigenfrequencies
associated with the molecular case, an expansion in small oscillations
quantifies the imaginary part of the chemical potential as proportional to a
coherent decay rate of the atomic condensate into a continuum of collective
phonon excitations about the collapsing lower state.


title: A single-time two-point closure based on fluid particle displacements

abstract:
  A new single-time two-point closure is proposed, in which the equation for
the two-point correlation between the displacement of a fluid particle and the
velocity allows one to estimate a Lagrangian timescale. This timescale is used
to specify the nonlinear damping of triple correlations in the closure. A
closed set of equations is obtained without ad hoc constants. Taking advantage
of the analogy between particle displacements and scalar fluctuations in
isotropic turbulence subjected to a mean scalar gradient, the model is
numerically integrated. Results for the energy spectrum are in agreement with
classical scaling predictions. An estimate for the Kolmogorov constant is
obtained.


title: A New Theoretic Foundation for Cross-Layer Optimization

abstract:
  Cross-layer optimization solutions have been proposed in recent years to
improve the performance of network users operating in a time-varying,
error-prone wireless environment. However, these solutions often rely on ad-hoc
optimization approaches, which ignore the different environmental dynamics
experienced at various layers by a user and violate the layered network
architecture of the protocol stack by requiring layers to provide access to
their internal protocol parameters to other layers. This paper presents a new
theoretic foundation for cross-layer optimization, which allows each layer to
make autonomous decisions individually, while maximizing the utility of the
wireless user by optimally determining what information needs to be exchanged
among layers. Hence, this cross-layer framework does not change the current
layered architecture. Specifically, because the wireless user interacts with
the environment at various layers of the protocol stack, the cross-layer
optimization problem is formulated as a layered Markov decision process (MDP)
in which each layer adapts its own protocol parameters and exchanges
information (messages) with other layers in order to cooperatively maximize the
performance of the wireless user. The message exchange mechanism for
determining the optimal cross-layer transmission strategies has been designed
for both off-line optimization and on-line dynamic adaptation. We also show
that many existing cross-layer optimization algorithms can be formulated as
simplified, sub-optimal, versions of our layered MDP framework.


title:
A Duality Result for Moduli Spaces of Semistable Sheaves Supported on
  Projective Curves

abstract:
  We show that the moduli space M(r,c) of semistable sheaves on n-dimensional
projective space with support of dimension one, with multiplicity r and with
Euler characteristic c is isomorphic to M(r,-c).


title: Fusion-fission reactions with modified Woods-Saxon potential

abstract:
  A modified Woods-Saxon potential model is proposed for a unified description
of the entrance channel fusion barrier and the fission barrier of
fusion-fission reactions based on the Skyrme energy-density functional
approach. The fusion excitation functions of 120 reactions have been
systematically studied. The fusion (capture) cross sections are well described
with the calculated potential and an empirical barrier distribution.
Incorporating a statistical model (HIVAP code) for describing the decay of the
compound nucleus, the evaporation residue (and fission) cross sections of 51
fusion-fission reactions have been systematically investigated. Optimal values
of some key parameters of the HIVAP code are obtained based on the experimental
data of these reactions. The experimental data are reasonably well reproduced
by the calculated results. The upper and lower confidence limits of the
systematic errors of the calculated results are given.


title: The composition of transiting giant extrasolar planets

abstract:
  In principle, the combined measurements of the mass and radius a giant
exoplanet allow one to determine the relative fraction of hydrogen and helium
and of heavy elements in the planet. However, uncertainties on the underlying
physics imply that some known transiting planets appear anomalously large, and
this generally prevent any firm conclusion when a planet is considered on an
individual basis. On the basis of a sample of 9 transiting planets known at the
time, Guillot et al. A&A 453, L21 (1996), concluded that all planets could be
explained with the same set of hypotheses, either by large but plausible
modifications of the equations of state, opacities, or by the addition of an
energy source, probably related to the dissipation of kinetic energy by tides.
On this basis, they concluded that the amount of heavy elements in close-in
giant planets is correlated with the metallicity of the parent star.
Furthermore they showed that planets around metal-rich stars can possess large
amounts of heavy elements, up to 100 Earth masses. These results are confirmed
by studying the present sample of 18 transiting planets with masses between
that of Saturn and twice the mass of Jupiter.


title:
Cell mapping description for digital control system with quantization
  effect

abstract:
  Quantization problem in digital control system have attracted more and more
attention in these years. Normally, a quantized variable is regarded as a
perturbed copy of the unquantized variable in the research of quantization
effect, but this model has shown many obvious disadvantages in control system
analysis and design process. In this paper, we give a new model for
quantization based 'cell mapping' concept. This cell model could clearly
describe the global dynamics of quantized digital system. Then some important
characteristics of control system like controllability are analyzed by this
model. The finite precision control design method based on cell concept is also
presented.


title:
Band Bending Independent of Surface Passivation in
  ZnO/CdS/Cu(In,Ga)(S,Se)$_2$ Heterojunctions and Cr/Cu(In,Ga)(S,Se)$_2$
  Schottky Contacts

abstract:
  We have employed admittance spectroscopy and deep-level transient
spectroscopy in order to investigate the electronic properties of
ZnO/CdS/Cu(In,Ga)(S,Se)$_2$ heterojunctions and Cr/Cu(In,Ga)(S,Se)$_2$ Schottky
contacts. Our work concentrates on the origin of an energy-distributed defect
state commonly found in these systems. The activation energy of the defect
state addressed continuously shifts upon air annealing or damp-heat treatment
and is a valuable measure of the degree of band bending in
Cu(In,Ga)(S,Se)$_2$-based junctions. We demonstrate that the band bending
within the Cu(In,Ga)(S,Se)$_2$ layer, reported in the literature to become
minimal after air exposure, returns after the formation of either a Schottky
contact or a heterojunction. The earlier phenomenon turns out to be independent
of a surface passivation due to the CdS bath deposition.


title:
Dynamic and Static Excitations of a Classical Discrete Anisotropic
  Heisenberg Ferromagnetic Spin Chain

abstract:
  Using Jacobi elliptic function addition formulas and summation identities we
obtain several static and moving periodic soliton solutions of a classical
anisotropic, discrete Heisenberg spin chain with and without an external
magnetic field. We predict the dispersion relations of these nonlinear
excitations and contrast them with that of magnons and relate these findings to
the materials realized by a discrete spin chain. As limiting cases, we discuss
different forms of domain wall structures and their properties.


title: Quantum Monte-Carlo study of a two-species boson Hubbard model

abstract:
  We consider a two-species hard-core boson Hubbard model for a supersolid,
where the two types of bosons represent vacancies and interstitials doped into
a commensurate crystal. The on-site inter-species interaction may create bound
states of vacancies and interstitials facilitating vacancy condensation at
lower energies than in a single-species model, as suggested in an earlier mean
field study. Here we carry out quantum Monte Carlo simulation to study possible
supersolid phases of the model, corresponding to superfluid phases of the
vacancies or interstitials. At low temperatures, we find three distinct
superfluid phases. The extent of the phases and the nature of the phase
transitions are discussed in comparison to mean-field theory.


title: Nonsmoothable group actions on elliptic surfaces

abstract:
  Let G be a cyclic group of order 3, 5 or 7, and X=E(n) be the relatively
minimal elliptic surface with rational base. In this paper, we prove that under
certain conditions on n, there exists a locally linear G-action on X which is
nonsmoothable with respect to infinitely many smooth structures on X. This
extends the main result of our previous paper.


title: A semi-implicit Hall-MHD solver using whistler wave preconditioning

abstract:
  The dispersive character of the Hall-MHD solutions, in particular the
whistler waves, is a strong restriction to numerical treatments of this system.
Numerical stability demands a time step dependence of the form $\Delta t\propto
(\Delta x)^2$ for explicit calculations. A new semi--implicit scheme for
integrating the induction equation is proposed and applied to a reconnection
problem. It it based on a fix point iteration with a physically motivated
preconditioning. Due to its convergence properties, short wavelengths converge
faster than long ones, thus it can be used as a smoother in a nonlinear
multigrid method.


title:
Dynamic structure factors of the spin-1/2 XX chain with
  Dzyaloshinskii-Moriya interaction

abstract:
  We consider the spin-1/2 isotropic XY chain in a (z) transverse magnetic
field with the Dzyaloshinskii-Moriya interaction directed along the z-axis in
spin space and examine the effects of the latter interaction on the zz, xx (yy)
and xy (yx) dynamic structure factors. The Dzyaloshinskii-Moriya interaction
does not manifest itself in the zz dynamic quantities. In contrast, the xx (yy)
and xy (yx) dynamic structure factors show dramatical changes owing to the
Dzyaloshinskii-Moriya interaction. Implications of our results for electron
spin resonance experiments are briefly discussed.


title:
Entanglement sharing in $E\otimes\epsilon$ Jahn-Teller model in the
  presence of a magnetic field

abstract:
  We discuss the ground state entanglement of the $E\otimes\epsilon$
Jahn-Teller model in the presence of a strong transverse magnetic field as a
function of the vibronic coupling strength. A complete characterization is
given of the phenomenon of entanglement sharing in a system composed by a qubit
coupled to two bosonic modes. Using the residual $I$-tangle, we find that
three-partite entanglement is significantly present in the system in the
parameter region near the bifurcation point of the corresponding classical
model.


title: Local control of entanglement in a spin chain

abstract:
  In a ferromagnetic spin chain, the control of the local effective magnetic
field allows to manipulate the static and dynamical properties of entanglement.
In particular, the propagation of quantum correlations can be driven to a great
extent so as to achieve an entanglement transfer on demand toward a selected
site.


title:
Observing Zitterbewegung for photons near the Dirac point of a
  two-dimensional photonic crystal

abstract:
  It is shown, for the first time, that the zitterbewegung of photon can appear
near the Dirac point in two-dimensional photonic crystal. The superiority of
such a phenomenon for photons is that it can be found in different scaling
structures with wide frequency regions. It can be observed by measuring the
time dependence of the transmission coefficient through photonic crystal slabs.
Thus, it is particularly suited for experimentally observing this effect. We
have observed such a phenomenon by exact numerical simulations, confirming a
long-standing theoretical prediction.


title:
Second-order power spectra of CMB anisotropies due to primordial random
  perturbations in flat cosmological models

abstract:
  Second-order power spectra of Cosmic Microwave Background (CMB) anisotropies
due to random primordial perturbations at the matter dominant stage are
studied, based on the relativistic second-order theory of perturbations in flat
cosmological models and on the second-order formula of CMB anisotropies derived
by Mollerach and Matarrese. So far the second-order integrated Sachs-Wolfe
effect has been analyzed using the three-point correlation or bispectrum. In
this paper we derive the second-order term of power spectra given using the
two-point correlation of temperature fluctuations.
  The second-order density perturbations are small, compared with the
first-order ones. The second-order power spectra of CMB anisotropies, however,
are not small at all, compared with the first-order power spectra, because at
the early stage the first-order integrated Sachs-Wolfe effect is very small and
the second-order integrated Sachs-Wolfe effect may be dominant over the
first-order ones. So their characteristic behaviors may be measured through the
future precise observation and bring useful informations on the structure and
evolution of our universe in the future.


title: Search for $f_1(1285) \to \pi^+\pi^-\pi^0$ decay with VES detector

abstract:
  The isospin violating decay $f_1(1285)\to\pi^+\pi^-\pi^0$ has been studied at
VES facility. This study is based at the statistics acquired in $\pi^- Be$
interactions at 27, 36.6 and 41 GeV/c in diffractive reaction $\pi^- N \to (f_1
\pi^-) N$. The $f_1(1285) \to \pi^+\pi^-\pi^0$ decay is observed. The ratio of
decay probabilities $BR(f_1(1285) \to \pi^+\pi^-\pi^0)$ to $BR(f_1(1285) \to
\eta \pi^+\pi^-) \cdot BR(\eta \to \gamma\gamma)$ is $\sim\:1.4%$.


title: Atypical Thermonuclear Supernovae from Tidally Crushed White Dwarfs

abstract:
  Suggestive evidence has accumulated that intermediate mass black holes (IMBH)
exist in some globular clusters. As stars diffuse in the cluster, some will
inevitable wander sufficiently close to the hole that they suffer tidal
disruption. An attractive feature of the IMBH hypothesis is its potential to
disrupt not only solar-type stars but also compact white dwarf stars. Attention
is given to the fate of white dwarfs that approach the hole close enough to be
disrupted and compressed to such extent that explosive nuclear burning may be
triggered. Precise modeling of the dynamics of the encounter coupled with a
nuclear network allow for a realistic determination of the explosive energy
release, and it is argued that ignition is a natural outcome for white dwarfs
of all varieties passing well within the tidal radius. Although event rates are
estimated to be significantly less than the rate of normal Type Ia supernovae,
such encounters may be frequent enough in globular clusters harboring an IMBH
to warrant a search for this new class of supernova.


title:
Higgs Decay To \bar{b}b: Different Approaches To Resummation Of QCD
  Effects

abstract:
  The comparison between parameterisations of the perturbation results for the
decay width of the Standard Model Higgs boson to \bar{b}b-quarks pairs, based
on application of \bar{MS}-scheme running quark mass and pole b-quark mass, are
presented. In the case of the latter parameterisation taking into account of
order O(\alpha_s^3) term is rather important. It is minimising deviations of
the results obtained at the O(\alpha_s^2) level from the results, which follow
from the running quark mass approach


title: Fractional moment bounds and disorder relevance for pinning models

abstract:
  We study the critical point of directed pinning/wetting models with quenched
disorder. The distribution K(.) of the location of the first contact of the
(free) polymer with the defect line is assumed to be of the form
K(n)=n^{-\alpha-1}L(n), with L(.) slowly varying. The model undergoes a
(de)-localization phase transition: the free energy (per unit length) is zero
in the delocalized phase and positive in the localized phase. For \alpha<1/2 it
is known that disorder is irrelevant: quenched and annealed critical points
coincide for small disorder, as well as quenched and annealed critical
exponents. The same has been proven also for \alpha=1/2, but under the
assumption that L(.) diverges sufficiently fast at infinity, an hypothesis that
is not satisfied in the (1+1)-dimensional wetting model considered by Forgacs
et al. (1986) and Derrida et al. (1992), where L(.) is asymptotically constant.
Here we prove that, if 1/2<\alpha<1 or \alpha >1, then quenched and annealed
critical points differ whenever disorder is present, and we give the scaling
form of their difference for small disorder. In agreement with the so-called
Harris criterion, disorder is therefore relevant in this case. In the marginal
case \alpha=1/2, under the assumption that L(.) vanishes sufficiently fast at
infinity, we prove that the difference between quenched and annealed critical
points, which is known to be smaller than any power of the disorder strength,
is positive: disorder is marginally relevant. Again, the case considered by
Forgacs et al. (1986) and Derrida et al. (1992) is out of our analysis and
remains open.


title: Purely electromagnetic spacetimes

abstract:
  Electrovacuum solutions devoid of usual mass sources are classified in the
case of one, two and three commuting Killing vectors. Three branches of
solutions exist. Electromagnetically induced mass terms appear in some of them.


title:
Macroscopic Treatment of Radio Emission from Cosmic Ray Air Showers
  based on Shower Simulations

abstract:
  We present a macroscopic calculation of coherent electro-magnetic radiation
from air showers initiated by ultra-high energy cosmic rays, based on currents
obtained from Monte Carlo simulations of air showers in a realistic
geo-magnetic field. We can clearly relate the time signal to the time
dependence of the currents. We find that the the most important contribution to
the pulse is related to the time variation of the currents. For showers forming
a sufficiently large angle with the magnetic field, the contribution due to the
currents induced by the geo-magnetic field is dominant, but neither the charge
excess nor the dipole contribution can be neglected. We find a characteristic
bipolar signal. In our calculations, we take into account a realistic index of
refraction, whose importance depends on the impact parameter and the
inclination. Also very important is the role of the positive ions.


title:
Single-ion and exchange anisotropy effects and multiferroic behavior in
  high-symmetry tetramer single molecule magnets

abstract:
  We study single-ion and exchange anisotropy effects in equal-spin $s_1$
tetramer single molecule magnets exhibiting $T_d$, $D_{4h}$, $D_{2d}$,
$C_{4h}$, $C_{4v}$, or $S_4$ ionic point group symmetry. We first write the
group-invariant quadratic single-ion and symmetric anisotropic exchange
Hamiltonians in the appropriate local coordinates. We then rewrite these local
Hamiltonians in the molecular or laboratory representation, along with the
Dzyaloshinskii-Moriay (DM) and isotropic Heisenberg, biquadratic, and
three-center quartic Hamiltonians. Using our exact, compact forms for the
single-ion spin matrix elements, we evaluate the eigenstate energies
analytically to first order in the microscopic anisotropy interactions,
corresponding to the strong exchange limit, and provide tables of simple
formulas for the energies of the lowest four eigenstate manifolds of
ferromagnetic (FM) and anitiferromagnetic (AFM) tetramers with arbitrary $s_1$.
For AFM tetramers, we illustrate the first-order level-crossing inductions for
$s_1=1/2,1,3/2$, and obtain a preliminary estimate of the microscopic
parameters in a Ni$_4$ from a fit to magnetization data.
  Accurate analytic expressions for the thermodynamics, electron paramagnetic
resonance absorption and inelastic neutron scattering cross-section are given,
allowing for a determination of three of the microscopic anisotropy
interactions from the second excited state manifold of FM tetramers. We also
predict that tetramers with symmetries $S_4$ and $D_{2d}$ should exhibit both
DM interactions and multiferroic states, and illustrate our predictions for
$s_1=1/2, 1$.


title: Metastable supersymmetry breaking vacua from conformal dynamics

abstract:
  We study the scenario that conformal dynamics leads to metastable
supersymmetry breaking vacua. At a high energy scale, the superpotential is not
R-symmetric, and has a supersymmetric minimum. However, conformal dynamics
suppresses several operators along renormalization group flow toward the
infrared fixed point. Then we can find an approximately R-symmetric
superpotential, which has a metastable supersymmetry breaking vacuum, and the
supersymmetric vacuum moves far away from the metastable supersymmetry breaking
vacuum. We show a 4D simple model. Furthermore, we can construct 5D models with
the same behavior, because of the AdS/CFT dual.


title: Disc-Magnetosphere interactions in Cataclysmic Variable Stars

abstract:
  I review, from an observational perspective, the interactions of accretion
discs with magnetic fields in cataclysmic variable stars. I start with systems
where the accretion flows via a stream, and discuss the circumstances in which
the stream forms into an accretion disc, pointing to stars which are close to
this transition. I then turn to disc-fed systems and discuss what we know about
how material threads on to field lines, as deduced from the pattern of
accretion footprints on the white dwarf. I discuss whether distortions of the
field lines are related to accretion torques and the changing spin periods of
the white dwarfs. I also review the effect on the disc-magnetosphere
interaction of disc-instability outbursts. Lastly, I discuss the temporary,
dynamo-driven magnetospheres thought to occur in dwarf-nova outbursts, and
whether slow-moving waves are excited at the inner edges of the disc.


title:
Will the $PT$ Symmetric and Non-Hermitian $\phi^4$ Theory Solve the
  Hierarchy and Triviality Problems in the Standard Model?

abstract:
  Very recently, the Large Hadron Collider was turned on. There, the
experiments are aiming to test different scenarios for elementary particles
interactions from SUSY, Extra dimensions to others. In fact, SUSY was invented
to kill the conceptual problems existing in the conventional Standard model
\textit{i.e.} the Hierarchy problem. However, in recent years, certain theories
which was rejected in the past like the wrong sign $\phi^{4}$ theory is now
well known to be a truly physically acceptable theory. Here, we analyze the
renormalization group flow of the different parameters in the theory. We find
that, rather than the conventional $\phi^{4}$ theory and because the theory is
asymptotically free, it does not sufferer from the catastrophic blow up of the
mass parameter for UV scales. This feature greatly recommend that this theory
is a plausible candidate to play the role of the $SU(2)\times U(1)$ symmetry
breaking in the standard model. If this picture will agree with the
experimental results from LHC, then the Higgs particle was massless in the far
past. Moreover, the cosmological constant problem as a Hierarchy problem may be
solved too. However, when trying to calculate the metric operator, we expected
that the equivalent Hermitian theory may attain non-remormalizabe terms and
thus the theory is incalculable. In fact, we show that there exists a Hermitian
and renormalizable equivalent theory though of indefinite metric. We
reformulated the Klein-Gordon equation in such a way that the wrong sign in the
propagator attains a new physical meaning that the Higgs particle is made from
exotic matter.


title: Two-resonator circuit QED: A superconducting quantum switch

abstract:
  We introduce a systematic formalism for two-resonator circuit QED, where two
on-chip microwave resonators are simultaneously coupled to one superconducting
qubit. Within this framework, we demonstrate that the qubit can function as a
quantum switch between the two resonators, which are assumed to be originally
independent. In this three-circuit network, the qubit mediates a geometric
second-order circuit interaction between the otherwise decoupled resonators. In
the dispersive regime, it also gives rise to a dynamic second-order
perturbative interaction. The geometric and dynamic coupling strengths can be
tuned to be equal, thus permitting to switch on and off the interaction between
the two resonators via a qubit population inversion or a shifting of the qubit
operation point. We also show that our quantum switch represents a flexible
architecture for the manipulation and generation of nonclassical microwave
field states as well as the creation of controlled multipartite entanglement in
circuit QED. In addition, we clarify the role played by the geometric
interaction, which constitutes a fundamental property characteristic of
superconducting quantum circuits without counterpart in quantum-optical
systems. We develop a detailed theory of the geometric second-order coupling by
means of circuit transformations for superconducting charge and flux qubits.
Furthermore, we show the robustness of the quantum switch operation with
respect to decoherence mechanisms. Finally, we propose a realistic design for a
two-resonator circuit QED setup based on a flux qubit and estimate all the
related parameters. In this manner, we show that this setup can be used to
implement a superconducting quantum switch with available technology.


title: Searches for Gravitational Waves from Binary Neutron Stars: A Review

abstract:
  A new generation of observatories is looking for gravitational waves. These
waves, emitted by highly relativistic systems, will open a new window for ob-
servation of the cosmos when they are detected. Among the most promising
sources of gravitational waves for these observatories are compact binaries in
the final min- utes before coalescence. In this article, we review in brief
interferometric searches for gravitational waves emitted by neutron star
binaries, including the theory, instru- mentation and methods. No detections
have been made to date. However, the best direct observational limits on
coalescence rates have been set, and instrumentation and analysis methods
continue to be refined toward the ultimate goal of defining the new field of
gravitational wave astronomy.


title: Cyclotomic expansion of exceptional spectral measures

abstract:
  We find explicit formulae for the circular spectral measures of $E_7,E_8$.
This leads to a number of general observations regarding the ADE circular
measures: these are linear combinations of measures supported by the roots of
unity, with real density given by certain degree 3 polynomials.


title: Calculating Colimits Compositionally

abstract:
  We show how finite limits and colimits can be calculated compositionally
using the algebras of spans and cospans, and give as an application a proof of
the Kleene Theorem on regular languages.


title: Variational inference for large-scale models of discrete choice

abstract:
  Discrete choice models are commonly used by applied statisticians in numerous
fields, such as marketing, economics, finance, and operations research. When
agents in discrete choice models are assumed to have differing preferences,
exact inference is often intractable. Markov chain Monte Carlo techniques make
approximate inference possible, but the computational cost is prohibitive on
the large data sets now becoming routinely available. Variational methods
provide a deterministic alternative for approximation of the posterior
distribution. We derive variational procedures for empirical Bayes and fully
Bayesian inference in the mixed multinomial logit model of discrete choice. The
algorithms require only that we solve a sequence of unconstrained optimization
problems, which are shown to be convex. Extensive simulations demonstrate that
variational methods achieve accuracy competitive with Markov chain Monte Carlo,
at a small fraction of the computational cost. Thus, variational methods permit
inferences on data sets that otherwise could not be analyzed without
bias-inducing modifications to the underlying model.


title: An invariant regarding Waring's problem for cubic polynomials

abstract:
  We compute the equation of the 7-secant variety to the Veronese variety
(P^4,O(3)), its degree is 15. This is the last missing invariant in the
Alexander-Hirschowitz classification.
  It gives the condition to express a homogeneous cubic polynomial in 5
variables as the sum of 7 cubes (Waring problem). The interesting side in the
construction is that it comes from the determinant of a matrix of order 45 with
linear entries, which is a cube. The same technique allows to express the
classical Aronhold invariantof plane cubics as a pfaffian.


title:
On $p$-harmonic map heat flows for {$1\leq p< \infty$} and their finite
  element approximations

abstract:
  Motivated by emerging applications from imaging processing, the heat flow of
a generalized $p$-harmonic map into spheres is studied for the whole spectrum,
$1\leq p<\infty$, in a unified framework. The existence of global weak
solutions is established for the flow using the energy method together with a
regularization and a penalization technique. In particular, a $BV$-solution
concept is introduced and the existence of such a solution is proved for the
1-harmonic map heat flow. The main idea used to develop such a theory is to
exploit the properties of measures of the forms $\cA\cdot\nab\bv$ and
$\cA\wedge\nab\bv$; which pair a divergence-$L^1$, or a divergence-measure,
tensor field $\cA$, and a $BV$-vector field $\bv$. Based on these analytical
results, a practical fully discrete finite element method is then proposed for
approximating weak solutions of the $p$-harmonic map heat flow, and the
convergence of the proposed numerical method is also established.


title: Singularities in Speckled Speckle

abstract:
  Speckle patterns produced by random optical fields with two (or more) widely
different correlation lengths exhibit speckle spots that are themselves highly
speckled. Using computer simulations and analytic theory we present results for
the point singularities of speckled speckle fields: optical vortices in scalar
(one polarization component) fields; C points in vector (two polarization
component) fields. In single correlation length fields both types of
singularities tend to be more{}-or{}-less uniformly distributed. In contrast,
the singularity structure of speckled speckle is anomalous: for some sets of
source parameters vortices and C points tend to form widely separated giant
clusters, for other parameter sets these singularities tend to form chains that
surround large empty regions. The critical point statistics of speckled speckle
is also anomalous. In scalar (vector) single correlation length fields phase
(azimuthal) extrema are always outnumbered by vortices (C points). In contrast,
in speckled speckle fields, phase extrema can outnumber vortices, and azimuthal
extrema can outnumber C points, by factors that can easily exceed $10^{4}$ for
experimentally realistic source parameters.


title:
Entanglement Telegraphed Communication Avoiding Light-speed Limitation
  by Hong Ou Mandel Effect

abstract:
  Faster-than-light communication is possible via quantum entanglement in an
EPR experiment if one can overcome nature's "quantum modesty" and gain
knowledge concerning the quantum state of a single photon. Using a special EPR
source that produces precisely timed doublets of EPR photons (biphotons), I
show how one can gain additional information about the photon's polarization
state--information not accessible using the conventional one-photon-at-a-time
EPR setup. Using the Hong-Ou-Mandel effect that describes how two identical
photons combine at a neutral beamsplitter (NBS), I show how Bob can obtain
enough polarization information about his B photons to unambiguously ascertain
the polarization basis of Alice's distant measurement device which she has
deployed to measure her A photons. I am proposing, in short, that EPR + HOM =
FTL. Version 2 concludes with a refutation of its FTL claim due to Lev Vaidman.


title: Single-Sweep Methods for Free Energy Calculations

abstract:
  A simple, efficient, and accurate method is proposed to map multi-dimensional
free energy landscapes. The method combines the temperature-accelerated
molecular dynamics (TAMD) proposed in [Maragliano & Vanden-Eijnden, Chem. Phys.
Lett. 426, 168 (2006)] with a variational reconstruction method using
radial-basis functions for the representation of the free energy. TAMD is used
to rapidly sweep through the important regions of the free energy landscape and
compute the gradient of the free energy locally at points in these regions. The
variational method is then used to reconstruct the free energy globally from
the mean force at these points. The algorithmic aspects of the single-sweep
method are explained in detail, and the method is tested on simple examples,
compared to metadynamics, and finally used to compute the free energy of the
solvated alanine dipeptide in two and four dihedral angles.


title: From Twisted Supersymmetry to Orbifold Lattices

abstract:
  We show how to derive the supersymmetric orbifold lattices of Cohen et al.
\cite{Cohen:2003xe,Cohen:2003qw} and Kaplan et al. \cite{Kaplan:2005ta} by
direct discretization of an appropriate twisted supersymmetric Yang-Mills
theory. We examine in detail the four supercharge two dimensional theory and
the theory with sixteen supercharges in four dimensions. The continuum limit of
the latter theory is the well known Marcus twist of ${\cal N}=4$ Yang-Mills.
The lattice models are gauge invariant and possess one exact supersymmetry at
non-zero lattice spacing.


title: The Viterbo Transfer as a Map of Spectra

abstract:
  Let $L$ and $N$ be two smooth manifolds of the same dimension. Let $j\colon
L\to T^*N$ be an exact Lagrange embedding. We denote the free loop space of $X$
by $\Lambda X$. C. Viterbo constructed a transfer map $(\Lambda j)^! \colon
H^*(\Lambda L) \to H^*(\Lambda N)$. This transfer was constructed using finite
dimensional approximation of Floer homology. In this paper we define a family
of finite dimensional approximations and realize this transfer as a map of Thom
spectra: $(\Lambda j)_! \colon (\Lambda N)^{-TN} \to (\Lambda L)^{-TL+\eta}$,
where $\eta$ is a virtual vector bundle classified by the tangential
information of $j$.


title: Model-Independent Global Search for New High-pT Physics at CDF

abstract:
  Data collected in Run II of the Fermilab Tevatron are searched for
indications of new electroweak scale physics. Rather than focusing on
particular new physics scenarios, CDF data are analyzed for discrepancies with
respect to the standard model prediction. A model-independent approach (Vista)
considers the gross features of the data, and is sensitive to new large cross
section physics. A quasi-model-independent approach (Sleuth) searches for a
significant excess of events with large summed transverse momentum, and is
particularly sensitive to new electroweak scale physics that appears
predominantly in one final state. This global search for new physics in over
three hundred exclusive final states in 927 pb^-1 of ppbar collisions at
sqrt(s)=1.96 TeV reveals no such significant indication of physics beyond the
standard model.


title: Galaxy Triplets of the Local Supercluster. 3. Configuration Properties

abstract:
  Configuration properties of observed galaxy triplets are studied with the use
of the method of configuration parameters and Agekian-Anosova configuration
diagram. Statistically significant excess of the hierarchical configurations
for the galaxy triplets of the Local Supercluster (LS) is established. The
samples of the Interacting, Northern and Southern galaxy triplets do not
demonstrate the same excess. Our results testify that the model of the dark
matter concentrated in the halo of individual galaxies is convenient for
dynamically young systems to which the most of LS triplets belong, whereas the
model of the dark matter concentrated in the triplet's volume is more
convenient for the compact triplets.


title: Observational Cosmology with the ELT and JWST

abstract:
  I will focus on the study of the Cosmic Dark ages and in particular on the
properties of the galaxies responsible for the reionization of Hydrogen and on
the possibility of detecting the first generation of galaxies and the first
stars. I will make the case that there is a large and widening gap between our
present and future capabilities in imaging and what we can follow-up
spectroscopically even with the NIRSpec spectrograph on the James Webb Space
Telescope because of its moderate field of view. A high throughput, high
multiplexing near-IR spectrometer on the Extremely Large Telescope would be
important to contain this gap. Studying the Lyman alpha forest of QSOs at z>=7
and measuring the kinematics of small mass galaxies at high-z are also problems
unsuited to JWST and where a high-throughput, medium-high resolution near-IR
spectrograph on the ELT would be essential.


title: Betti numbers of monomial ideals and shifted skew shapes

abstract:
  We present two new problems on lower bounds for resolution Betti numbers of
monomial ideals generated in a fixed degree. The first concerns any such ideal
and bounds the total Betti numbers, while the second concerns ideals that are
quadratic and bihomogeneous with respect to two variable sets, but gives a more
finely graded lower bound.
  These problems are solved for certain classes of ideals that generalize (in
two different directions) the edge ideals of threshold graphs and Ferrers
graphs. In the process, we produce particularly simple cellular linear
resolutions for strongly stable and squarefree strongly stable ideals generated
in a fixed degree, and combinatorial interpretations for the Betti numbers of
other classes of ideals, all of which are independent of the coefficient field.


title: The signature of chromospheric heating in Ca II H spectra

abstract:
  We analyze a 1-hour time series of Ca II H intensity spectra and polarimetric
spectra around 630 nm to derive the signature of the chromospheric heating and
to investigate its relation to magnetic fields. We derived several
characteristic quantities of Ca II H to define the chromospheric atmosphere
properties. We study the power of the Fourier transform at different
wavelengths and their phase relations. We perform local thermodynamic
equilibrium inversions of the data to obtain the magnetic field, once including
the Ca spectra. We find that the emission in the Ca II H line core at locations
without detectable photospheric polarization signal is due to waves that
propagate from low forming continuum layers in the line wing up to the line
core. The phase differences of intensity oscillations at different wavelengths
indicate standing waves for v < 2 mHz and propagating waves for higher
frequencies. The waves steepen into shocks in the chromosphere. On average,
shocks are both preceded and followed by intensity reductions. In field-free
regions, the profiles show emission about half of the time. The correlation
between wavelengths and the decorrelation time is significantly higher in the
presence of magnetic fields than for field-free areas. The average Ca II H
profile in the presence of magnetic fields contains emission features symmetric
to the line core and an asymmetric contribution, where mainly the blue H2V
emission peak is increased. We find that acoustic waves steepening into shocks
are responsible for the emission in the Ca II H line core for locations without
photospheric magnetic fields. We suggest using wavelengths in the line wing of
Ca II H, where LTE still applies, to compare theoretical heating models with
observations.


title:
Nonergodicity and central limit behavior for systems with long-range
  interactions

abstract:
  In this paper we discuss the nonergodic behavior for a class of long-standing
quasi-stationary states in a paradigmatic model of long-range interacting
systems, i.e. the HMF model. We show that ensemble averages and time averages
for velocities probability density functions (pdfs) do not coincide and in
particular the latter exhibit a tendency to converge towards a q-Gaussian
attractor instead of the usual Gaussian one predicted by the Central Limit
Theorem, when ergodicity applies.

categories: cond-mat.stat-mech astro-ph nucl-th physics.plasm-ph


title: Neutron Stars: Formed, Spun and Kicked

abstract:
  One of the primary goals when studying stellar systems with neutron stars has
been to reveal the physical properties of progenitors and understand how
neutron star spins and birth kicks are determined. Over the years a consensus
understanding had been developed, but recently some of the basic elements of
this understanding are being challenged by current observations of some binary
systems and their theoretical interpretation. In what follows we review such
recent developments and highlight how they are interconnected; we particularly
emphasize some of the assumptions and caveats of theoretical interpretations
and examine their validity (e.g., in connection to the unknown radial
velocities of pulsars or the nuances of multi-dimensional statistical
analysis). The emerging picture does not erase our earlier understanding;
instead it broadens it as it reveals additional pathways for neutron star
formation and evolution: neutron stars probably form at the end of both core
collapse of Fe cores of massive stars and electron-capture supernovae of ONeMg
cores of lower-mass stars; birth kicks are required to be high (well in excess
of 100 km/s) for some neutron stars and low (< 100 km/s) for others depending
on the formation process; and spin up may occur not just through Roche-lobe
overflow but also through wind accretion or phases of hypercritical accretion
during common envelope evolution.


title: The Poisson bracket on free null initial data for gravity

abstract:
  Free initial data for general relativity on a pair of intersecting null
hypersurfaces are well known, but the lack of a Poisson bracket and concerns
about caustics have stymied the development of a constraint free canonical
theory. Here it is pointed out how caustics and generator crossings can be
neatly avoided and a Poisson bracket on free data is given. On sufficiently
regular functions of the solution spacetime geometry this bracket matches the
Poisson bracket defined on such functions by the Hilbert action via Peierls'
prescription. The symplectic form is also given in terms of free data.


title: A gravitational-wave probe of effective quantum gravity

abstract:
  The Green-Schwarz anomaly-cancelling mechanism in string theories requires a
Chern-Simons term in the Einstein-Hilbert action, which leads to an amplitude
birefringence of spacetime for the propagation of gravitational waves. While
the degree of birefringence may be intrinsically small, its effects on a
gravitational wave will accumulate as the wave propagates. The proposed Laser
Interferometer Space Antenna (LISA) will be sensitive enough to observe the
gravitational waves from sources at cosmological distances great enough that
interesting bounds on the Chern-Simons may be found. Here we evaluate the
effect of a Chern-Simons induced spacetime birefringence to the propagation of
gravitational waves from such systems. We find that gravitational waves from in
coalescing binary black hole system are imprinted with a signature of
Chern-Simons gravity. This signature appears as a time-dependent change in the
apparent orientation of the binary's orbital angular momentum with respect to
the observer line-of-sight, with the change magnitude reflecting the integrated
history of the Chern-Simons coupling over the worldline of a radiation
wavefront. While spin-orbit coupling in the binary system will also lead to an
evolution of the system's orbital angular momentum, the time dependence and
other details of this \emph{real} effect are different than the \emph{apparent}
effect produced by Chern-Simons birefringence, allowing the two effects to be
separately identified.


title:
Magnetized Ekman Layer and Stewartson Layer in a Magnetized
  Taylor-Couette Flow

abstract:
  In this paper we present axisymmetric nonlinear simulations of magnetized
Ekman and Stewartson layers in a magnetized Taylor-Couette flow with a
centrifugally stable angular-momemtum profile and with a magnetic Reynolds
number below the threshold of magnetorotational instability. The magnetic field
is found to inhibit the Ekman suction. The width of the Ekman layer is reduced
with increased magnetic field normal to the end plate. A uniformly-rotating
region forms near the outer cylinder. A strong magnetic field leads to a steady
Stewartson layer emanating from the junction between differentially rotating
rings at the endcaps. The Stewartson layer becomes thinner with larger Reynolds
number and penetrates deeper into the bulk flow with stronger magnetic field
and larger Reynolds number. However, at Reynolds number larger than a critical
value $\sim 600$, axisymmetric, and perhaps also nonaxisymmetric, instabilities
occur and result in a less prominent Stewartson layer that extends less far
from the boundary.


title:
RHESSI Microflare Statistics II. X-ray Imaging, Spectroscopy & Energy
  Distributions

abstract:
  We present X-ray imaging and spectral analysis of all microflares the Reuven
Ramaty High Energy Solar Spectroscopic Imager (RHESSI) observed between March
2002 and March 2007, a total of 25,705 events. These microflares are small
flares, from low GOES C Class to below A Class (background subtracted) and are
associated with active regions. They were found by searching the 6-12 keV
energy range during periods when the full sensitivity of RHESSI's detectors was
available (see paper I). Each microflare is automatically analyzed at the peak
time of the 6-12 keV emission: the thermal source size is found by
forward-fitting the complex visibilities for 4-8 keV, and the spectral
parameters (temperature, emission measure, power-law index) are found by
forward fitting a thermal plus non-thermal model. The combination of these
parameters allows us to present the first statistical analysis of the thermal
and non-thermal energy at the peak times of microflares.


title: A Quantum Time-Space Lower Bound for the Counting Hierarchy

abstract:
  We obtain the first nontrivial time-space lower bound for quantum algorithms
solving problems related to satisfiability. Our bound applies to MajSAT and
MajMajSAT, which are complete problems for the first and second levels of the
counting hierarchy, respectively. We prove that for every real d and every
positive real epsilon there exists a real c>1 such that either: MajMajSAT does
not have a quantum algorithm with bounded two-sided error that runs in time
n^c, or MajSAT does not have a quantum algorithm with bounded two-sided error
that runs in time n^d and space n^{1-\epsilon}. In particular, MajMajSAT cannot
be solved by a quantum algorithm with bounded two-sided error running in time
n^{1+o(1)} and space n^{1-\epsilon} for any epsilon>0. The key technical
novelty is a time- and space-efficient simulation of quantum computations with
intermediate measurements by probabilistic machines with unbounded error. We
also develop a model that is particularly suitable for the study of general
quantum computations with simultaneous time and space bounds. However, our
arguments hold for any reasonable uniform model of quantum computation.


title: An Extended Bracket Polynomial for Virtual Knots and Links

abstract:
  This paper defines a new invariant of virtual knots and links that we call
the extended bracket polynomial, and denote by <<K>> for a virtual knot or link
K. This invariant is a state summation over bracket states of the oriented
diagram for K. Each state is reduced to a virtual 4-regular graph in the plane
and the polynomial takes values in the module generated by these reduced graphs
over the ring Q[A,A^{-1}]. The paper is relatively self-contained, with
background information about virtual knots and long virtual knots. We give
numerous examples applying the extended bracket, including a new proof of the
non-triviality of the Kishino diagram and the flat Kishino diagram and
non-classicality of single crossing virtualizations. The paper has a section on
the estimation of virtual crossing number using the extended bracket state sum.
Examples are given of virtual knots with arbitrary minimal embedding genus and
arbitrarily high positive difference between the virtual crossing number and
the minimal embedding genus. A simplification of <<K>> is introduced and
denoted by A[K]. This simplified extended bracket, the arrow polynomial, is a
polynomial in an infinite set of variables. It is quite strong (detecting the
flat Kishino diagram for example) and easily computable. The paper contains a
description of a computer algorithm for A[K] and uses the arrow polynomial, in
conjunction with the extended bracket polynomial to determine the minimum genus
surfaces on which some virtual knots can be represented.


title:
Quantitative broadband chemical sensing in air-suspended solid-core
  fibers

abstract:
  We demonstrate a quantitative broadband fiber sensor, based on evanescent
field sensing in the cladding holes of an air-suspended solid-core photonic
crystal fiber. We discuss the fabrication process, together with the
structural- and optical characterization of a range of different fibers.
Measured mode profiles are in good agreement with finite element method
calculations made without free parameters. The fraction of the light in the
hollow cladding can be tuned via the core diameter of the fiber. Dispersion
measurements are in excellent agreement with theory and demonstrate tuning of
the zero dispersion wavelength via the core diameter. Optimum design parameters
for absorption sensors are discussed using a general parameter diagram. From
our analysis, we estimate that a sensitivity increase of three orders of
magnitude is feasible compared to standard cuvette measurements. Our study
applies to both liquid and gas fiber sensors. We demonstrate the applicability
of our results to liquid chemical sensing by measuring the broad absorption
peak of an aqueous nickel chloride solution. We find striking agreement with
the reference spectrum measured in a standard cuvette, even though the sample
volume has decreased by three orders of magnitude. Our results demonstrate that
air-suspended solid-core PCFs can be used in quantitative broadband chemical
sensing measurements.


title: Evidence of magnetic field wrapping around penumbral filaments

abstract:
  We employ high-spatial resolution spectropolarimetric observations from the
Solar Optical Telescope on-board the Hinode spacecraft to investigate the fine
structure of the penumbral magnetic fields. The Stokes vector of two neutral
iron lines at 630 nm is inverted at every spatial pixel to retrieve the
depth-dependence of the magnetic field vector, line-of-sight velocity and
thermodynamic parameters. We show that the azimuthal angle of the magnetic
field vector has opposite sign on both sides above the penumbral filaments.
This is consistent with the wrapping of an inclined field around the horizontal
filaments. The wrapping effect is stronger for filaments with larger horizontal
extensions. In addition, we find that the external magnetic field can penetrate
into the intraspines, leading to non-radial magnetic fields inside them. These
findings shed some light on the controversial small-scale structure of the
sunspot penumbra.


title: Double Ore Extensions

abstract:
  A double Ore extension is a natural generalization of the Ore extension. We
prove that a connected graded double Ore extension of an Artin-Schelter regular
algebra is Artin-Schelter regular. Some other basic properties such as the
determinant of the DE-data are studied. Using the double Ore extension, we
construct 26 families of Artin-Schelter regular algebras of global dimension
four in a sequel paper.


title: Double Extension Regular Algebras of Type (14641)

abstract:
  We construct several families of Artin-Schelter regular algebras of global
dimension four using double Ore extension and then prove that all these
algebras are strongly noetherian, Auslander regular, Koszul and Cohen-Macaulay
domains. Many regular algebras constructed in the paper are new and are not
isomorphic to either a normal extension or an Ore extension of an
Artin-Schelter regular algebra of global dimension three.


title: Artin-Schelter Regular Algebras, Subalgebras, and Pushouts

abstract:
  Take $A$ to be a regular quadratic algebra of global dimension three. We
observe that there are examples of $A$ containing a dimension three regular
cubic algebra $C$. If $B$ is another dimension three regular quadratic algebra,
also containing $C$ as a subalgebra, then we can form the pushout algebra $D$
of the inclusions $i_1:C\hookrightarrow A$ and $i_2:C\hookrightarrow B$. We
show that for a certain class of regular algebras $C\hookrightarrow A,B$, their
pushouts $D$ are regular quadratic algebras of global dimension four.
Furthermore, some of the point module structures of the dimension three
algebras get passed on to the pushout algebra $D$.


title: The PBD-Closure of Constant-Composition Codes

abstract:
  We show an interesting PBD-closure result for the set of lengths of
constant-composition codes whose distance and size meet certain conditions. A
consequence of this PBD-closure result is that the size of optimal
constant-composition codes can be determined for infinite families of parameter
sets from just a single example of an optimal code. As an application, the size
of several infinite families of optimal constant-composition codes are derived.
In particular, the problem of determining the size of optimal
constant-composition codes having distance four and weight three is solved for
all lengths sufficiently large. This problem was previously unresolved for odd
lengths, except for lengths seven and eleven.


title: Constructions for Difference Triangle Sets

abstract:
  Difference triangle sets are useful in many practical problems of information
transmission. This correspondence studies combinatorial and computational
constructions for difference triangle sets having small scopes. Our algorithms
have been used to produce difference triangle sets whose scopes are the best
currently known.


title: Leavitt path algebras and direct limits

abstract:
  An introduction to Leavitt path algebras of arbitrary directed graphs is
presented, and direct limit techniques are developed, with which many results
that had previously been proved for countable graphs can be extended to
uncountable ones. Such results include characterizations of simplicity,
characterizations of the exchange property, and cancellation conditions for the
K-theoretic monoid of equivalence classes of idempotent matrices.


title: Shell Crossing Singularities in Quasi-Spherical Szekeres Models

abstract:
  We investigate the occurrence of shell crossing singularities in
quasi-spherical Szekeres dust models with or without a cosmological constant.
We study the conditions for shell crossing singularity both from physical and
geometrical point of view and they are in agreement.


title: Strong-field control of x-ray absorption

abstract:
  Strong optical laser fields modify the way x rays interact with matter. This
allows us to use x rays to gain deeper insight into strong-field processes.
Alternatively, optical lasers may be utilized to control the propagation of x
rays through a medium. Gas-phase systems are particularly suitable for
illustrating the basic principles underlying combined x-ray and laser
interactions. Topics addressed include the impact of spin-orbit interaction on
the alignment of atomic ions produced in a strong laser field,
electromagnetically induced transparency in the x-ray regime, and laser-induced
alignment of molecules.


title:
A Note on the Radiatively Induced Lorentz and CPT Violated
  Chern-Simons-like Term in the Extended Quantum Electrodynamics

abstract:
  We show that the ambiguity for the Chern-Simons-like term induced from
quantum correction in the extended QED should have nothing to do with the
approximation on the exact fermionic propagator, contradictory to the claim in
Ref.[19]. Further, we investigate the induced Chern-Simons-like term using the
original 't Hooft-Veltman dimensional regularization and reproduce the result
obtained by gauge symmetry analysis. This fact demonstrates that the origin of
the ambiguity should lie in different choices on regularization schemes.


title: A random-coding based proof for the quantum coding theorem

abstract:
  We present a proof for the quantum channel coding theorem which relies on the
fact that a randomly chosen code space typically is highly suitable for quantum
error correction. In this sense, the proof is close to Shannon's original
treatment of information transmission via a noisy classical channel.


title: Cycle time of stochastic max-plus linear systems

abstract:
  We analyze the asymptotic behavior of sequences of random variables defined
by an initial condition, a stationary and ergodic sequence of random matrices,
and an induction formula involving multiplication is the so-called max-plus
algebra. This type of recursive sequences are frequently used in applied
probability as they model many systems as some queueing networks, train and
computer networks, and production systems. We give a necessary condition for
the recursive sequences to satisfy a strong law of large numbers, which proves
to be sufficient when the matrices are i.i.d. Moreover, we construct a new
example, in which the sequence of matrices is strongly mixing, that condition
is satisfied, but the recursive sequence do not converges almost surely.


title: Effective field theories for QCD with rooted staggered fermions

abstract:
  Even highly improved variants of lattice QCD with staggered fermions show
significant violations of taste symmetry at currently accessible lattice
spacings. In addition, the "rooting trick" is used in order to simulate with
the correct number of light sea quarks, and this makes the lattice theory
nonlocal, even though there is good reason to believe that the continuum limit
is in the correct universality class. In order to understand scaling
violations, it is thus necessary to extend the construction of the Symanzik
effective theory to include rooted staggered fermions. We show how this can be
done, starting from a generalization of the renormalization-group approach to
rooted staggered fermions recently developed by one of us. We then explain how
the chiral effective theory follows from the Symanzik action, and show that it
leads to "rooted" staggered chiral perturbation theory as the correct chiral
theory for QCD with rooted staggered fermions. We thus establish a direct link
between the renormalization-group based arguments for the correctness of the
continuum limit and the success of rooted staggered chiral perturbation theory
in fitting numerical results obtained with the rooting trick. In order to
develop our argument, we need to assume the existence of a standard
partially-quenched chiral effective theory for any local partially-quenched
theory. Other technical, but standard, assumptions are also required.


title: The Monge-Amp\`ere-Kantorovich approach to reconstruction in cosmology

abstract:
  Motion of a continuous fluid can be decomposed into an "incompressible"
rearrangement, which preserves the volume of each infinitesimal fluid element,
and a gradient map that transfers fluid elements in a way unaffected by any
pressure or elasticity (the polar decomposition of Y. Brenier). The Euler
equation describes a system whose kinematics is dominated by the incompressible
rearrangement. The opposite limit, in which the incompressible component is
negligible, corresponds to the Zel'dovich approximation, a model of motion of
self-gravitating fluid in cosmology.
  We present a method of approximate reconstruction of the large-scale proper
motions of matter in the Universe from the present-day mass density field. The
method is based on recovering the corresponding gradient transfer map. We
discuss its algorithmics, tests of the method against mock cosmological
catalogues, and its application to observational data, which result in tight
constraints on the mean mass density Omega_m and age of the Universe.


title: A new model and its physics

abstract:
  The high temperature superconductivity in cuprate materials1 has puzzled
scientists over twenty years. We must find a new way to understand
superconductivity. It is found the spin-charge correlation may dominate the
superconductivity2, and we base our judgment upon the features of various
superconductors. Thus we presented the idea that superconductivity could be
described by correlations. To develop this idea into a quantitative theory, the
first work is to give a model and show that various superconductivities can be
included in this model. Moreover, superconductivity can originate from the
spin-singlet pairing3 or from the spin-triplet pairing4. The spin-singlet
pairing favors to appear at the border of antiferromagnetism5, while the
spin-triplet pairing favors to appear at the border of ferromagnetism6. The
coexistence between superconductivity and magnetism is also possible7,8.
Therefore, the second work is to reveal the relation between superconductivity
and magnetism.


title: Atom--photon momentum entanglement with quantum interference

abstract:
  With quantum interference of two-path spontaneous emissions, we propose a
novel scheme to coherently control the atom--photon momentum entanglement
through atomic internal coherence. A novel phenomenon called ``momentum phase
entanglement'' is reported, and we found, under certain conditions, that more
controllable entangled state can be produced with super--high degree of
entanglement.


title:
Mechanisms of Dendrites Occurrence during Crystallization: Features of
  the Ice Crystals Formation

abstract:
  Dendrites formation in the course of crystallization presents very general
phenomenon, which is analyzed in details via the example of ice crystals growth
in deionized water. Neutral molecules of water on the surface are combined into
the double electric layer (DEL) of oriented dipoles; its field reorients
approaching dipoles with observable radio-emission in the range of 150 kHz. The
predominant attraction of oriented dipoles to points of gradients of this field
induces dendrites growth from them, e.g. formation of characteristic form of
snowflakes at free movement of clusters through saturated vapor in atmosphere.
The constant electric field strengthens DELs' field and the growth of
dendrites. Described phenomena should appear at crystallization of various
substances with dipole molecules, features of radio-emission can allow the
monitoring of certain processes in atmosphere and in technological processes.
Crystallization of particles without constant moments can be stimulated by DELs
of another nature with attraction of virtual moments of particles to gradients
of fields and corresponding dendrites formation.


title:
Event-based computer simulation model of Aspect-type experiments
  strictly satisfying Einstein's locality conditions

abstract:
  Inspired by Einstein-Podolsky-Rosen-Bohm experiments with photons, we
construct an event-based simulation model in which every essential element in
the ideal experiment has a counterpart. The model satisfies Einstein's criteria
of local causality and does not rely on concepts of quantum and probability
theory. We consider experiments in which the averages correspond to those of a
singlet and product state of a system of two $S=1/2$ particles. The data is
analyzed according to the experimental procedure, employing a time window to
identify pairs. We study how the time window and the passage time of the
photons, which depends on the relative angle between their polarization and the
polarizer's direction, influences the correlations, demonstrating that the
properties of the optical elements in the observation stations affect the
correlations although the stations are separated spatially and temporarily. We
show that the model can reproduce results which are considered to be
intrinsically quantum mechanical.


title:
Algebraic generality vs arithmetic generality in the controversy between
  C. Jordan and L. Kronecker (1874)

abstract:
  Throughout the whole year of 1874, C. Jordan and L. Kronecker were
quarrelling over two theorems. On the one hand, Jordan had stated in 1870 a
canonical form theorem for substitutions of linear groups; on the other hand,
Karl Weierstrass had introduced in 1868 the elementary divisors of non singular
pairs of bilinear forms (P,Q) in stating a key theorem of the theory of
bilinear and quadratic forms. Although they would be considered equivalent as
regard to modern mathematics, not only had these two theorems been stated
independently and for different purposes, they had also been lying within the
distinct frameworks of two theories until some connections came to light in
1872-1873, breeding the 1874 quarrel and hence revealing an opposition over two
practices relating to distinctive cultural features. As we will be looking into
the 1874 quarrel, our purpose will be to show how the complex identities of
practices such as Jordan s canonical reduction and Kronecker s invariant
computation highlight some cultural issues such as tacit knowledge and
perceptions of history peculiar to individuals or communities as well as some
local ways of thinking such as disciplinary ideals and internal philosophies of
generality and simplicity.


title: On Lower Bound for W(K_{2n})

abstract:
  The lower bound W(K_{2n})>=3n-2 is proved for the greatest possible number of
colors in an interval edge coloring of the complete graph K_{2n}.


title: Superfluidity in Super-Yang-Mills Theory

abstract:
  The AdS/CFT correspondence suggests that there is a point in the phase
diagram of strongly interacting gauge-theory matter where the viscosity
approaches zero. This paper analyses the possibility that this point represents
a superfluid and that the the system near this point in the phase diagram can
be described by a Landau fluid. Superfluid vortices are constructed and the AdS
analogue of vorticity quantisation is described. The production of vortices in
the quark-gluon plasma during heavy ion collisions is discussed.


title:
A Possible Spin-Orbit Misalignment in the Transiting Eccentric Planet HD
  17156b

abstract:
  We present simultaneous photometric and spectroscopic observations of HD
17156b spanning a transit on UT 2007 November 12. This system is of special
interest because of its 21-day period (unusually long for a transiting planet)
and its high orbital eccentricity of 0.67. By modeling the Rossiter-McLaughlin
effect, we find the angle between the sky projections of the orbital axis and
the stellar rotation axis to be $62^{\circ} \pm 25^{\circ}$. Such a large
spin-orbit misalignment, as well as the large eccentricity, could be explained
as the relic of a previous gravitational interaction with other planets.


title:
Constraining Slow-Roll Inflation in the Presence of Dynamical Dark
  Energy

abstract:
  In this paper we perform a global analysis of the constraints on the
inflationary parameters in the presence of dynamical dark energy models from
the current observations, including the three-year Wilkinson Microwave
Anisotropy Probe (WMAP3) data, Boomerang-2K2, CBI, VSA, ACBAR, SDSS LRG, 2dFGRS
and ESSENCE (192 sample). We use the analytic description of the inflationary
power spectra in terms of the Horizon-flow parameters $\{\epsilon_i\}$. With
the first order approximation in the slow-roll expansion, we find that the
constraints on the Horizon-flow parameters are $\epsilon_1<0.014 (95% C.L.)$
and $\epsilon_2=0.034\pm0.024 (1\sigma)$ in the $\Lambda$CDM model. In the
framework of dynamical dark energy models, the constraints become obviously
weak, $\epsilon_1<0.022 (95% C.L.)$ and $\epsilon_2=-0.006\pm0.039 (1\sigma)$,
and the inflation models with a "blue" tilt, which are excluded about $2\sigma$
in the $\Lambda$CDM model, are allowed now. With the second order
approximation, the constraints on the Horizon-flow parameters are significantly
relaxed further. If considering the non-zero $\epsilon_3$, the large running of
the scalar spectral index is found for the $\Lambda$CDM model, as well as the
dynamical dark energy models.


title:
Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall
  effect supremacy

abstract:
  Nowadays it is experimentally feasible to create artificial, and in
particular, non-Abelian gauge potentials for ultracold atoms trapped in optical
lattices. Motivated by this fact, we investigate the fundamental properties of
an ultracold Fermi gas in a non-Abelian U(2) gauge potential characterized by a
\emph{constant} Wilson loop. Under this specific condition, the energy spectrum
exhibits a robust band structure with large gaps and reveals a new fractal
figure. The transverse conductivity is related to topological invariants and is
shown to be quantized when the Fermi energy lies inside a gap of the spectrum.
We demonstrate that the analogue of the integer quantum Hall effect for neutral
atoms survives the non-Abelian coupling and leads to a striking fractal phase
diagram. Moreover, this coupling induces an anomalous Hall effect as observed
in graphene.


title: Influence of Rotation on the Amount of Phantom Matter around wormholes

abstract:
  Static (spherically symmetrical) and stationary solutions for wormholes are
considered. The visibility horizon, which characterizes the differences between
black holes and passing wormholes, is determined in an invariant way. It is
shown that the rotation of wormholes does not affect the amount of phantom
matter that surrounds them.


title:
Speckle Interferometry of Nearby Multiple Stars. IV. Measurements in
  2004 and New Orbits

abstract:
  The results of speckle interferometric observations of 104 binary and 6
triple stars performed at the BTA 6 m telescope in 2004 October are presented.
Nearby low-mass stars are mostly observed for the program, among which 59 there
are new binaries recently discovered by the Hipparcos astrometric satellite.
Concurrently with the diffraction-limited position measurements we obtained 154
brightness ratio measurements of binary and multiple star components in
different bands of the visible spectrum. New, first-resolved binaries are the
symbiotic star CH Cyg with a weak companion at 0.043'' separation and the pair
of red dwarfs, GJ 913 = HIP 118212. In addition, we derived the orbital
parameters for two interferometric systems: the CN-giant pair HD 210211 = HIP
109281 (P=10.7 yr) and the G2V-K2V binary GJ 9830 = HIP 116259 (P=15.7 yr).


title: Event-by-event simulation of quantum phenomena

abstract:
  In this talk, I discuss recent progress in the development of simulation
algorithms that do not rely on any concept of quantum theory but are
nevertheless capable of reproducing the averages computed from quantum theory
through an event-by-event simulation. The simulation approach is illustrated by
applications to single-photon Mach-Zehnder interferometer experiments and
Einstein-Podolsky-Rosen-Bohm experiments with photons.


title: On the Fundamental Properties of Coupled Oscillating Systems

abstract:
  The present paper presents a new general conception of interaction between
physical systems, differing significantly from that of both classical physics
and quantum physics as generally understood. We believe this conception could
provide the basis for a coherent understanding of several classes of natural
phenomena that until now have been studied only in a piece-meal fashion. These
include 1) the universal tendency for physical systems to associate together
into stable dynamic formations; 2) the seemingly unlimited capacity for
generation of physical objects in Nature, including the emergence of coherent,
quantized states in physical systems of the most varied nature; 3) the
existence of close couplings between processes whose characteristic
length-scales, frequency- and energy-ranges differ by many orders of magnitude.
The proposed conception first emerged in connection with experimental studies
of the nonlinear behavior of coupled electromagnetic oscillators, and the
discovery of two fundamental phenomena that had been overlooked in the
classical theory of oscillations. The essential features of these phenomena are
summarized in the first two sections of the paper, after which we indicate how
the underlying physical principles can be combined under a single notion of
interaction, providing a mechanism by which a practically unlimited wealth of
physical objects could be generated by the interaction of just a few. The final
section puts forward some preliminary ideas about the electromagneto-mechanical
dual nature of physical objects as oscillatory processes, suggesting a
universal scope for the proposed conceptions.


title: Forming Galaxies with MOND

abstract:
  Beginning with a simple model for the growth of structure, I consider the
dissipationless evolution of a MOND-dominated region in an expanding Universe
by means of a spherically symmetric N-body code. I demonstrate that the final
virialized objects resemble elliptical galaxies with well-defined relationships
between the mass, radius, and velocity dispersion. These calculations suggest
that, in the context of MOND, massive elliptical galaxies may be formed early
(z > 10) as a result of monolithic dissipationless collapse. Then I reconsider
the classic argument that a galaxy of stars results from cooling and
fragmentation of a gas cloud on a time scale shorter than that of dynamical
collapse. Qualitatively, the results are similar to that of the traditional
picture; moreover, the existence, in MOND, of a density-temperature relation
for virialized, near isothermal objects as well as a mass-temperature relation
implies that there is a definite limit to the mass of a gas cloud where this
condition can be met-- an upper limit corresponding to that of presently
observed massive galaxies.


title:
Is the injectivity of the global function of a cellular automaton in the
  hyperbolic plane undecidable?

abstract:
  In this paper, we look at the following question. We consider cellular
automata in the hyperbolic plane and we consider the global function defined on
all possible configurations. Is the injectivity of this function undecidable?
The problem was answered positively in the case of the Euclidean plane by
Jarkko Kari, in 1994. In the present paper, we give a partial answer: when the
configurations are restricted to a certain condition, the problem is
undecidable.


title: Convex Entropy Decay via the Bochner-Bakry-Emery approach

abstract:
  We develop a method, based on a Bochner-type identity, to obtain estimates on
the exponential rate of decay of the relative entropy from equilibrium of
Markov processes in discrete settings. When this method applies the relative
entropy decays in a convex way. The method is shown to be rather powerful when
applied to a class of birth and death processes. We then consider other
examples, including inhomogeneous zero-range processes and Bernoulli-Laplace
models. For these two models, known results were limited to the homogeneous
case, and obtained via the martingale approach, whose applicability to
inhomogeneous models is still unclear.


title:
On the Information of the Second Moments Between Random Variables Using
  Mutually Unbiased Bases

abstract:
  The notation of mutually unbiased bases(MUB) was first introduced by Ivanovic
to reconstruct density matrixes\cite{Ivanovic}. The subject about how to use
MUB to analyze, process, and utilize the information of the second moments
between random variables is studied in this paper. In the first part, the
mathematical foundation will be built. It will be shown that the spectra of MUB
have complete information for the correlation matrixes of finite discrete
signals, and the nice properties of them. Roughly speaking, it will be shown
that each spectrum from MUB plays an equal role for finite discrete signals,
and the effect between any two spectra can be treated as a global constant
shift. These properties will be used to find some important and natural
characterizations of random vectors and random discrete operators/filters. For
a technical reason, it will be shown that any MUB spectra can be found as fast
as Fourier spectrum when the length of the signal is a prime number.
  In the second part, some applications will be presented. First of all, a
protocol about how to increase the number of users in a basic digital
communication model will be studied, which has bring some deep insights about
how to encode the information into the second moments between random variables.
Secondly, the application of signal analysis will be studied. It is suggested
that complete "MUB" spectra analysis works well in any case, and people can
just choose the spectra they are interested in to do analysis. For instance,
single Fourier spectra analysis can be also applied in nonstationary case.
Finally, the application of MUB in dimensionality reduction will be considered,
when the prior knowledge of the data isn't reliable.


title:
Extended quadratic algebra and a model of the equivariant cohomology
  ring of flag varieties

abstract:
  For the root system of type $A$ we introduce and study a certain extension of
the quadratic algebra invented by S. Fomin and the first author, to construct a
model for the equivariant cohomology ring of the corresponding flag variety. As
an application of our construction we describe a generalization of the
equivariant Pieri rule for double Schubert polynomials. For a general finite
Coxeter system we construct an extension of the corresponding
Nichols-Woronowicz algebra. In the case of finite crystallographic Coxeter
systems we present a construction of extended Nichols-Woronowicz algebra model
for the equivariant cohomology of the corresponding flag variety.