title: Precise geodesy with the Very Long Baseline Array

abstract:
  We report on a program of geodetic measurements between 1994 and 2007 which
used the Very Long Baseline Array and up to 10 globally distributed antennas.
One of the goals of this program was to monitor positions of the array at a 1
millimeter level of accuracy and to tie the VLBA into the International
Terrestrial Reference Frame. We describe the analysis of these data and report
several interesting geophysical results including measured station
displacements due to crustal motion, earthquakes, and antenna tilt. In terms of
both formal errors and observed scatter, these sessions are among the very best
geodetic VLBI experiments.


title: Finite Linear Quotients of $\B_3$ of Low Dimension

abstract:
  We study the problem of deciding whether or not the image of an irreducible
representation of the braid group $\B_3$ of degree $\leq 5$ has finite image if
we are only given the eigenvalues of a generator. We provide a partial
algorithm that determines when the images are finite or infinite in all but
finitely many cases, and use these results to study examples coming from
quantum groups. Our technique uses two classification theorems and the
computational group theory package GAP.


title: About Factorial Sums

abstract: Certain new inequalities for the sums of factorials are presented.


title: Weight Multiplicity Polynomials of multi-variable Weyl Modules

abstract:
  This paper is based on the observation that dimension of weight spaces of
multi-variable Weyl modules depends polynomially on the highest weight
(Conjecture 1). We support this conjecture by various explicit answers for up
to three variable cases and discuss the underlying combinatorics.


title: Full Nexus between Newtonian and Relativistic Mechanics

abstract:
  A full nexus between Newtonian and relativistic mechanics is set. Contrarily
to what is commonly thought, Newtonian mechanics can be amended to suit all
speeds up to c. It is demonstrated that when introducing the fact that the
pulse of oscillators, i.e. emitters and clocks, is sensitive to speed, the
Newtonian framework can be extended to all speeds. For this aim, it is
formulated the concept of actor scenario vs. observer scenario. This
differentiation is essential to avoid confusion between effective reality
(actor scenario) and appearance (observer scenario). Measurements are subjected
to kinematical aberrations, the observer scenario being inertial. These must be
removed to attain intrinsic reality, i.e. that of actors. The lack of
demarcation between the two scenarios leads to conceptual confusions. The
amended Newtonian mechanics is of full application. Here, it has been mainly
applied to the Newtonian Doppler effect, amended to suit all speeds.


title: EuSpRIG TEAM work:Tools, Education, Audit, Management

abstract:
  Research on spreadsheet errors began over fifteen years ago. During that
time, there has been ample evidence demonstrating that spreadsheet errors are
common and nontrivial. Quite simply, spreadsheet error rates are comparable to
error rates in other human cognitive activities and are caused by fundamental
limitations in human cognition, not mere sloppiness. Nor does ordinary "being
careful" eliminate errors or reduce them to acceptable levels.


title:
Motives and representability of algebraic cycles on threefolds over a
  field

abstract:
  We study links between algebraic cycles on threefolds and
finite-dimensionality of their motives with coefficients in Q. We decompose the
motive of a non-singular projective threefold X with representable algebraic
part of CH_0(X) into Lefschetz motives and the Picard motive of a certain
abelian variety, isogenous to the corresponding intermediate Jacobian J^2(X)
when the ground field is C. In particular, it implies motivic
finite-dimensionality of Fano threefolds over a field. We also prove
representability of zero-cycles on several classes of threefolds fibered by
surfaces with algebraic H^2. This gives another new examples of
three-dimensional varieties whose motives are finite-dimensional.


title: On The Functorialrily Of Stratified Desingularizations

abstract:
  This article is devoted to the study of smooth desingularization, which are
customary employed in the definition of De Rham Intersection Cohomology with
differential forms. In this paper we work with the category of Thom-Mather
simple spaces. We construct a functor which sends each Thom-Mather simple space
into a smooth manifold called its primary unfolding. Hence we prove that the
primary unfoldings are unique up Thom-Mather isomorphisms.


title:
Stochastic model Of universe which constantly creates dark energy
  (Omega=0.7) and dark matter (Omega=0.3) but instantly at 0.12Gyr created
  nucleons and radiation

abstract:
  An assumption attributing vacuum mass energy to symmetric 'Null' fluctuation
which with equal probability either adds or subtracts, virtual planck either
particles or antiparticles leads to the following net resultant: 'Dark Energy'
virtual particle-antiparticle pairs and 'Dark Matter' real planck particles,
constantly give $\Omega_{DE}=0.7$ and $\Omega_{DM}=03$. Second assumption that
gravitational attraction propagates as particle-bridging wavelength, leads to
following estimates: Instantly, astonishingly recently and utilizing the
wavelength, the Dark Energy particles converted into nucleons(n) and the
antiparticles into radiation (ultimately CMB). Baryogenesis occurred almost
immediately in their ultra-hot clusters. Nucleonic matter declined from
$\Omega_n=0.7$ at creation, to present time $\Omega_n=0.03$. Famous
'Acceleration' is attributed to the cohesion of a supreme cluster of nucleonic
matter, giving $z/\ell=(1-\ell/\ell_H)^{2/3}$, $z,$ $\ell$ and $\ell_H$ being
respectively, redshift, luminosity and Hubble distances.


title: A quotient stack related to the Weyl algebra

abstract:
  Let A denote the ring of differential operators on the affine line with its
two usual generators t and d/dt given degrees +1 and -1 respectively. Let X be
the stack having coarse moduli space the affine line Spec k[z] and isotropy
groups Z/2 at each integer point. Then the category of graded A-modules is
equivalent to the category of quasi-coherent sheaves on X.
  Version 2: corrected typos and deleted appendix at referee's suggestion.


title:
Infinite hierarchies of nonlocal symmetries of the
  Chen--Kontsevich--Schwarz type for the oriented associativity equations

abstract:
  We construct infinite hierarchies of nonlocal higher symmetries for the
oriented associativity equations using solutions of associated vector and
scalar spectral problems. The symmetries in question generalize those found by
Chen, Kontsevich and Schwarz (arXiv:hep-th/0508221) for the WDVV equations. As
a byproduct, we obtain a Darboux-type transformation and a (conditional)
B\"acklund transformation for the oriented associativity equations.


title: On the concentration of the chromatic number of random graphs

abstract:
  Let 0<p<1 be fixed. Shamir and Spencer proved in the 1980s that the chromatic
number of a random graph in G(n,p) is concentrated in an interval of length
about n^{1/2}. In this explanatory note, we give a proof of a result due due
Noga Alon, showing that the chromatic number is concentrated in an interval of
length about n^{1/2}/log n.


title: Constraining The Universal Lepton Asymmetry

abstract:
  The relic cosmic background neutrinos accompanying the cosmic microwave
background (CMB) photons may hide a universal lepton asymmetry orders of
magnitude larger than the universal baryon asymmetry. At present, the only
direct way to probe such an asymmetry is through its effect on the abundances
of the light elements produced during primordial nucleosynthesis. The relic
light element abundances also depend on the baryon asymmetry, parameterized by
the baryon density parameter (eta_B = n_B/n_gamma = 10^(-10)*eta_10), and on
the early-universe expansion rate, parameterized by the expansion rate factor
(S = H'/H) or, equivalently by the effective number of neutrinos (N_nu = 3 +
43(S^2 - 1)/7). We use data from the CMB (and Large Scale Structure: LSS) along
with the observationally-inferred relic abundances of deuterium and helium-4 to
provide new bounds on the universal lepton asymmetry, finding for eta_L, the
analog of eta_B, 0.072 +/- 0.053 if it is assumed that N_nu = 3 and, 0.115 +/-
0.095 along with N_nu = 3.3^{+0.7}_{-0.6}, if N_nu is free to vary.


title: Accelerating the spin-up of Ensemble Kalman Filtering

abstract:
  A scheme is proposed to improve the performance of the ensemble-based Kalman
Filters during the initial spin-up period. By applying the no-cost ensemble
Kalman Smoother, this scheme allows the model solutions for the ensemble to be
"running in place" with the true dynamics, provided by a few observations.
  Results of this scheme are investigated with the Local Ensemble Transform
Kalman Filter (LETKF) implemented in a Quasi-geostrophic model, whose original
framework requires a very long spin-up time when initialized from a cold start.
Results show that it is possible to spin up the LETKF and have a fast
convergence to the optimal level of error. The extra computation is only
required during the initial spin-up since this scheme resumes to the original
LETKF after the "running in place" is achieved.


title: Holographic Double Diffractive Scattering

abstract:
  The holographic description of Pomeron exchange in a strongly-coupled gauge
theory with an AdS dual is extended to the case of two to three scattering. We
study the production event of a central particle via hadron-hadron scattering
in the double Regge kinematic regime of large center-of-momentum energy and
fixed momentum transfer. The computation reduces to the overlap of a
holographic wave function for the central particle with a source function for
the Pomerons. The formalism is applied to scalar glueball production and the
resulting amplitude is studied in various kinematic limits.


title: Training Gamble leads to Corporate Grumble?

abstract:
  Fifteen years of research studies have concluded unanimously that spreadsheet
errors are both common and non-trivial. Now we must seek ways to reduce
spreadsheet errors. Several approaches have been suggested, some of which are
promising and others, while appealing because they are easy to do, are not
likely to be effective. To date, only one technique, cell-by-cell code
inspection, has been demonstrated to be effective. We need to conduct further
research to determine the degree to which other techniques can reduce
spreadsheet errors.


title:
The Hobby-Eberly Telescope Dark Energy Experiment (HETDEX): Description
  and Early Pilot Survey Results

abstract:
  The Hobby-Eberly Telescope Dark Energy Experiment (HETDEX) will outfit the 10
m HET with a new wide field and an array of 150 integral-field spectrographs to
survey a 420 sq. deg. area in the north Galactic cap. Each fiber-coupled unit
spectrograph will cover 350-550 nm, simultaneously. This instrument, called
VIRUS, will produce ~34,000 spectra per exposure, and will open up the
emission-line universe to large surveys for the first time. The survey will
detect 0.8 million Lyman-alpha emitting (LAE) galaxies with 1.9<z<3.5 and more
than a million [OII] emitting galaxies with z<0.5.
  The 3-D map of LAE galaxies in 9 cubic Gpc volume will be used to measure the
expansion history at this early epoch using baryonic acoustic oscillations and
the shape of the power spectrum. The aim of HETDEX is to provide a direct
detection of dark energy at z~3. The measurement will constrain the evolution
of dark energy and will also provide 0.1%-level accuracy on the curvature of
the Universe, ten times better than current.
  The prototype of the VIRUS unit spectrograph (VIRUS-P) is a powerful
instrument in its own right. Used on the McDonald 2.7 m, it covers the largest
area of any integral field spectrograph, and reaches wavelengths down to 340
nm. VIRUS-P is being used for a pilot survey to better measure the properties
of LAE galaxies in support of HETDEX. We report initial results from this
survey.


title:
Interacting Agents in Social Networks: The Idea of Self and Influence
  Spaces

abstract:
  We study the evolution of social clusters, in an analogy with physical spin
systems, and in detail show the importance of the concept of the "self" of each
agent with quantifiable variable attributes. We investigate the effective
influence space around each agent with respect to each attribute, which allows
the cutoff of the Hamiltonian dictating the time evolution and suggest that
equations similar to those in general relativity for geodesics in distorted
space may be relevant in such a context too. We perform in a simple small-world
toy system simulations with weight factors for different couplings between
agents and their attributes and spin-type flips in either direction from
consideration of a utility function, and observe chaotic, highly aperiodic
behavior, with also the possibility of punctuated equilibrium-like phenomena.
In a realistic large system, because of the very large number of parameters
available, we suggest that it would probably almost always be necessary to
reduce the problem to simpler systems with a manageable set of coupling
matrices, using assumptions of fuzziness or symmetry or some other
consideration.


title: Exact Scale Invariance in Mixing of Binary Candidates in Voting Model

abstract:
  We introduce a voting model and discuss the scale invariance in the mixing of
candidates. The Candidates are classified into two categories $\mu\in \{0,1\}$
and are called as `binary' candidates. There are in total $N=N_{0}+N_{1}$
candidates, and voters vote for them one by one. The probability that a
candidate gets a vote is proportional to the number of votes. The initial
number of votes (`seed') of a candidate $\mu$ is set to be $s_{\mu}$. After
infinite counts of voting, the probability function of the share of votes of
the candidate $\mu$ obeys gamma distributions with the shape exponent $s_{\mu}$
in the thermodynamic limit $Z_{0}=N_{1}s_{1}+N_{0}s_{0}\to \infty$. Between the
cumulative functions $\{x_{\mu}\}$ of binary candidates, the power-law relation
$1-x_{1} \sim (1-x_{0})^{\alpha}$ with the critical exponent
$\alpha=s_{1}/s_{0}$ holds in the region $1-x_{0},1-x_{1}<<1$. In the double
scaling limit $(s_{1},s_{0})\to (0,0)$ and $Z_{0} \to \infty$ with
$s_{1}/s_{0}=\alpha$ fixed, the relation $1-x_{1}=(1-x_{0})^{\alpha}$ holds
exactly over the entire range $0\le x_{0},x_{1} \le 1$. We study the data on
horse races obtained from the Japan Racing Association for the period 1986 to
2006 and confirm scale invariance.


title:
Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the
  Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities
  and Steady State Thermodynamics from Darwinian Dynamics

abstract:
  This is the fourth paper, the last one, on solution to the problem of absence
of detailed balance in nonequilibrium processes. It is an approach based on
another known universal dynamics: The evolutionary dynamics first conceived by
Darwin and Wallace, referring to as Darwinian dynamics in the present paper,
has been found to be universally valid in biology; The statistical mechanics
and thermodynamics, while enormously successful in physics, have been in an
awkward situation of wanting a consistent dynamical understanding; Here we
present from a formal point of view an exploration of the connection between
thermodynamics and Darwinian dynamics and a few related topics. We first show
that the stochasticity in Darwinian dynamics implies the existence temperature,
hence the canonical distribution of Boltzmann-Gibbs type. In term of relative
entropy the Second Law of thermodynamics is dynamically demonstrated without
detailed balance condition, and is valid regardless of size of the system. In
particular, the dynamical component responsible for breaking detailed balance
condition does not contribute to the change of the relative entropy. Two types
of stochastic dynamical equalities of current interest are explicitly discussed
in the present approach: One is based on Feynman-Kac formula and another is a
generalization of Einstein relation. Both are directly accessible to
experimental tests. Our demonstration indicates that Darwinian dynamics
represents logically a simple and straightforward starting point for
statistical mechanics and thermodynamics and is complementary to and consistent
with conservative dynamics that dominates the physical sciences. Present
exploration suggests the existence of a unified stochastic dynamical framework
both near and far from equilibrium.

categories: cond-mat.other cond-mat.stat-mech math.DS nlin.AO q-bio.PE


title: Nitrogen abundances in giant stars of the globular cluster NGC 6752

abstract:
  We present N abundances for 21 bright giants in the globular cluster NGC 6752
based on high-resolution UVES spectra of the 3360A NH lines. We confirm that
the Stromgren c1 index traces the N abundance and find that the star-to-star N
abundance variation is 1.95 dex, at the sample's luminosity. We find
statistically significant correlations, but small amplitude variations, between
the abundances of N and alpha-, Fe-peak, and s-process elements. Analyses using
model atmospheres with appropriate N, O, Na, and Al abundances would
strengthen, rather than mute, these correlations. If the small variations of
heavy elements are real, then the synthesis of the N anomalies must take place
in stars which also synthesize alpha-, Fe-peak, and s-process elements. These
correlations offer support for contributions from both AGB and massive stars to
the globular cluster abundance anomalies.


title: Nonlinear Dynamics, Lorenz Model and Formation of Binary Stars

abstract:
  Based on the Lorenz model derived from the equations of hydrodynamics of
nebula, we discuss the formation of binary stars by the qualitative analysis
theory of nonlinear equation. Here the two wings in the Lorenz model form just
the binary stars, whose Roche surface is result of evolution under certain
condition. The nonlinear interaction plays a crucial role, and is necessary
condition of the formation of binary stars and of multiple stars. While the
linear equations form only a single star. Moreover, the Lorenz model may be
obtained from synergetics yet, and some dynamical equations of the order
parameter can also form the binary star system.


title:
Investigating the use of Software Agents to Reduce The Risk of
  Undetected Errors in Strategic Spreadsheet Applications

abstract:
  There is an overlooked iceberg of problems in end user computing.
Spreadsheets are developed by people who are very skilled in their main job
function, be it finance, procurement, or production planning, but often have
had no formal training in spreadsheet use. IT auditors focus on mainstream
information systems but regard spreadsheets as user problems, outside their
concerns. Internal auditors review processes, but not the tools that support
decision making in these processes.
  This paper highlights the gaps between risk management and end user awareness
in spreadsheet research. In addition the potential benefits of software agent
technologies to the management of risk in spreadsheets are explored. This paper
discusses the current research into end user computing and spreadsheet use
awareness.


title: Free field realization of current superalgebra $gl(m|n)_k$

abstract:
  We construct the free field representation of the affine currents,
energy-momentum tensor and screening currents of the first kind of the current
superalgebra $gl(m|n)_k$ uniformly for $m=n$ and $m\neq n$. The energy-momentum
tensor is given by a linear combination of two Sugawara tensors associated with
the two independent quadratic Casimir elements of $gl(m|n)$.


title:
Bispectral technique for reconstruction the astronomical images with an
  intensity interferometer

abstract:
  An extension may be proposed to the intensity interferometer of Hanbury Brown
and Twiss to provide the Fourier phase measurement by the use of third-order
intensity correlations. It is well known that interferometric reconstruction of
astronomical images can be obtained from second-order correlations only when a
priory information is used about the object. The third-order intensity
correlations contain information about the Fourier phase and need no such
assumptions. In the ordinary way we can make measurements of the second-order
intensity correlations with an intensity interferometer. We can also calculate
the third-order intensity correlations from the data set of measured
intensities for each distance triplet. After that we can reconstruct the
Fourier phase from third-order correlations by using bipectral technique. When
this is combining with the Fourier magnitude obtained from the second-order
intensity correlations, we have the ultimate Fourier transform of the source
brightness distribution. An inverse Fourier transform recovers the source
image.


title: Flux Parameter Spaces in Type II Vacua

abstract:
  We study the flux parameter spaces for semi-realistic supersymmetric
Pati-Salam models in the AdS vacua on Type IIA orientifold and realistic
supersymmetric Pati-Salam models in the Minkowski vacua on Type IIB
orientifold. Because the fluxes can be very large, we show explicitly that
there indeed exists a huge number of semi-realistic Type IIA and realistic Type
IIB flux models. In the Type IIA flux models, in the very large flux limit, the
theory can become weakly coupled and the AdS vacua can approach to the
Minkowski vacua. In a series of realistic Type IIB flux models, at the string
scale, the gauge symmetry can be broken down to the Standard Model (SM) gauge
symmetry, the gauge coupling unification can be achieved naturally, all the
extra chiral exotic particles can be decoupled, and the observed SM fermion
masses and mixings can be obtained as well. In particular, the real parts of
the dilaton, K\"ahler moduli, and the unified gauge coupling are independent of
the very large fluxes. The very large fluxes only affect the real and/or
imaginary parts of the complex structure moduli, and/or the imaginary parts of
the dilaton and K\"ahler moduli. However, these semi-realistic Type IIA and
realistic Type IIB flux models can not be populated in the string landscape.


title: Bounded Berezin-Toeplitz operators on the Segal-Bargmann space

abstract:
  We discuss the boundedness of Berezin-Toeplitz operators on a generalized
Segal-Bargmann space (Fock space) over the complex $n$-space. This space is
characterized by the image of a global Bargmann-type transform introduced by
Sj\"ostrand. We also obtain the deformation estimates of the composition of
Berezin-Toeplitz operators whose symbols and their derivatives up to order
three are in the Wiener algebra of Sj\"ostrand. Our method of proofs is based
on the pseudodifferential calculus and the heat flow determined by the phase
function of the Bargmann transform.


title: Perfect mirror transport protocol with higher dimensional quantum chains

abstract:
  A globally controlled scheme for quantum transport is proposed. The scheme
works on a 1D chain of nearest neighbor coupled systems of qudits (finite
dimension), or qunats (continuous variable), taking any arbitrary initial
quantum state of the chain and producing a final quantum state which is
perfectly spatially mirrored about the mid-point of the chain. As a particular
novel application, the method can be used to transport continuous variable (CV)
quantum states. A physical realization is proposed where it is shown how the
quantum states of the microwave fields held in a chain of driven
superconducting coplanar waveguides can experience quantum mirror transport
when coupled by switchable Cooper Pair Boxes.


title: Multi-quark baryons and color screening at finite temperature

abstract:
  We study baryons in SU(N) gauge theories at finite temperature according to
the gauge/string correspondence based on IIB string theory. The baryon is
constructed out of D5 brane and $N$ fundamental strings to form a color singlet
$N$-quark bound state. At finite temperature and in the deconfining phase, we
could find $k(<N)$-quark ``baryons''. Thermal properties of such $k$-quark
baryons and also of the $N$-quark baryon are examined. We study the temperature
dependence of color screening distance and Debye length of the baryon of
$k$-quark and $N$-quark. We also estimate the melting temperature, where the
baryons decay into quarks and gluons completely.


title: Modular representations and branching rules for wreath Hecke algebras

abstract:
  We introduce a generalization of degenerate affine Hecke algebra, called
wreath Hecke algebra, associated to an arbitrary finite group G. The simple
modules of the wreath Hecke algebra and of its associated cyclotomic algebras
are classified over an algebraically closed field of any characteristic p. The
modular branching rules for these algebras are obtained, and when p does not
divide the order of G, they are further identified with crystal graphs of
integrable modules for quantum affine algebras. The key is to establish an
equivalence between a module category of the (cyclotomic) wreath Hecke algebra
and its suitable counterpart for the degenerate affine Hecke algebra.


title:
End-point Estimates and Multi-parameter Paraproducts on Higher
  Dimensional Tori

abstract:
  Analogues of multi-paramter multiplier operators on R^d are defined on the
torus T^d. It is shown that these operators satisfy the classical Coifman-Meyer
theorem. In addition, L log L and L (log L)^n end-point estimates are proved.


title: The Grothendieck and Picard groups of a complete toric DM stack

abstract:
  We compute the Grothendieck and Picard groups of a complete smooth toric
Deligne-Mumford stack by using a suitable category of graded modules over a
polynomial ring.


title:
Two-dimensional full particle simulation of a perpendicular
  collisionless shock with a shock-rest-frame model

abstract:
  A two-dimensional (2D) shock-rest-frame model for particle simulations is
developed. Then full kinetic dynamics of a perpendicular collisionless shock is
examined by means of a 2D full particle simulation. We found that in the 2D
simulation there are fewer nonthermal electrons due to surfing acceleration
which was seen in the previous 1D simulations of a high Mach number
perpendicular shock in a low-beta and weakly magnetized plasma. This is because
the particle motion along the ambient magnetic field disturbs the formation of
coherent electrostatic solitary structures which is necessary for electron
surfing acceleration.


title: High $p_T$ Identified Particle Spectra

abstract:
  I will present an overview of identified particle spectra at high $p_T$
($p_T{}^{>}_{\sim}$ 5 GeV/$c$) in both p+p collisions and AA collisions at
RHIC. In p+p collisions, summary of particle ratios of K, $\eta$, $\omega$,
$\rho$, $\phi$, $p$, $\bar{p}$, $\Lambda$ and heavy-flavor (open charm,
$J/\Psi$) to $\pi$ at high-pt will be compiled and compared to the ratios of
integrated yields. The spectra are used in $x_t$ scaling study and compared to
pQCD calculations. These will help us establish particle composition in jets
and the quark and gluon contributions to hadron production at high $p_T$.
Similar jet chemistry has been extracted in Au+Au data in search for a
quantitative measure of color charge dependence of jet energy loss.


title: C-totally real warped product submanifolds

abstract:
  We obtain a basic inequality involving the Laplacian of the warping function
and the squared mean curvature of any warped product isometrically immersed in
a Riemannian manifold without assuming any restriction on the Riemann curvature
tensor of the ambient manifold. Applying this general theory, we obtain basic
inequalities involving the Laplacian of the warping function and the squared
mean curvature of $C$-totally real warped product submanifolds of $(\kappa ,\mu
) $-space forms, Sasakian space forms and non-Sasakian $(\kappa ,\mu)
$-manifolds. Then we obtain obstructions to the existence of minimal isometric
immersions of $C$-totally real warped product submanifolds in $(\kappa ,\mu)
$-space forms, non-Sasakian $(\kappa ,\mu) $-manifolds and Sasakian space
forms. In the last, we obtain an example of a warped product $C$-totally real
submanifold of a non-Sasakian $(\kappa ,\mu) $-manifold, which satisfies the
equality case of the basic inequality.


title: The Color Dipole Picture and the ratio of R(W, Q) = sigma L/sigma T

abstract:
  The transverse size of q q-bar fluctuations of the longitudinal photon is
reduced relative to the transverse size of q q-bar fluctuations of the
transverse photon. This implies R(W2, Q2) = 0.375 or, equivalently, FL/F2 =
0.27 at x<<0.1 and Q2 sufficiently large, while R(W2, Q2) = 0.5, if this effect
is not taken into account. Forthcoming experimental data from HERA will allow
to test this prediction.


title:
Charge density wave origin of cuprate checkerboard visualized by
  scanning tunneling microscopy

abstract:
  One of the main challenges in understanding high TC superconductivity is to
disentangle the rich variety of states of matter that may coexist, cooperate,
or compete with d-wave superconductivity. At center stage is the pseudogap
phase, which occupies a large portion of the cuprate phase diagram surrounding
the superconducting dome [1]. Using scanning tunneling microscopy, we find that
a static, non-dispersive, "checkerboard"-like electronic modulation exists in a
broad regime of the cuprate phase diagram and exhibits strong doping
dependence. The continuous increase of checkerboard periodicity with hole
density strongly suggests that the checkerboard originates from charge density
wave formation in the anti-nodal region of the cuprate Fermi surface. These
results reveal a coherent picture for static electronic orderings in the
cuprates and shed important new light on the nature of the pseudogap phase.


title: The Cauchy Problem of the Ward equation

abstract:
  We generalize the results of Villarroel, Fokas and Ioannidou, Dai, Terng and
Uhlenbeck to study the inverse scattering problem of the Ward equation with
non-small data and solve the Cauchy problem of the Ward equation with a
non-small purely continuous scattering data.


title:
Prediction of genomic properties and classification of life by protein
  length distributions

abstract:
  Much evolutionary information is stored in the fluctuations of protein length
distributions. The genome size and non-coding DNA content can be calculated
based only on the protein length distributions. So there is intrinsic
relationship between the coding DNA size and non-coding DNA size. According to
the correlations and quasi-periodicity of protein length distributions, we can
classify life into three domains. Strong evidences are found to support the
order in the structures of protein length distributions.


title:
Fluctuations and Pseudo Long Range Dependence in Network Flows: A
  Non-Stationary Poisson Process Model

abstract:
  In the study of complex networks (systems), the scaling phenomenon of flow
fluctuations refers to a certain power-law between the mean flux (activity)
$<F_i>$ of the $i$th node and its variance $\sigma_i$ as $\sigma_i \propto <
F_{i} > ^{\alpha}$. Such scaling laws are found to be prevalent both in natural
and man-made network systems, but our understanding of their origins still
remains limited. In this paper, a non-stationary Poisson process model is
proposed to give an analytical explanation of the non-universal scaling
phenomenon: the exponent $\alpha$ varies between 1/2 and 1 depending on the
size of sampling time window and the relative strength of the external/internal
driven forces of the systems. The crossover behavior and the relation of
fluctuation scaling with pseudo long range dependence are also accounted for by
the model. Numerical experiments show that the proposed model can recover the
multi-scaling phenomenon.


title:
Similar glassy features in the NMR response of pure and disordered
  La1.88Sr0.12CuO4

abstract:
  High Tc superconductivity in La2-xSrxCuO4 coexists with (striped and glassy)
magnetic order. Here, we report NMR measurements of the 139La spin-lattice
relaxation, which displays a stretched-exponential time dependence, in both
pure and disordered x=0.12 single crystals. An analysis in terms of a
distribution of relaxation rates T1^-1 indicates that i) the spin-freezing
temperature is spatially inhomogeneous with an onset at Tg(onset)=20 K for the
pristine samples, and ii) the width of the T1^-1 distribution in the vicinity
of Tg(onset) is insensitive to an ~1% level of atomic disorder in CuO2 planes.
This suggests that the stretched-exponential 139La relaxation, considered as a
manifestation of the systems glassiness, may not arise from quenched disorder.


title: Distribution Function in Center of Dark Matter Halo

abstract:
  N-body simulations of dark matter halos show that the density profiles of
halos behave as $\rho(r)\propto r^{-\alpha(r)}$, where the density logarithmic
slope $\alpha \simeq 1\sim1.5$ in the center and $\alpha \simeq 3\sim 4$ in the
outer parts of halos. However, some observations are not in agreement with
simulations in the very central region of halos. The simulations also show that
velocity dispersion anisotropy parameter $\beta\approx 0$ in the inner part of
the halo and the so called "pseudo phase-space density" $\rho/\sigma^3$ behaves
as a power-law in radius $r$. With these results in mind, we study the
distribution function and the pseudo phase-space density $\rho/\sigma^3$ of the
center of dark matter halos and find that they are closely-related.


title:
Time-reversal symmetry breaking surface states of d-wave superconductors
  induced by an additional order parameter with negative T_c

abstract:
  Surface states of d_{x^2-y^2}-wave superconductors are studied using the
Ginzburg-Landau (GL) theory. For a [110] surface it has been known that the
time-reversal symmetry (T) breaking surface state, (d+-is)-wave state, can
occur if the bare transition temperature of the s-wave order parameter (OP) is
positive. We show that even if this bare T_c is negative, it is possible to
break T because the coupling to the spontaneously generated magnetic field may
induce the s-wave OP. The T-breaking state is favored when the GL parameter
(kappa) is small.


title:
Giant Orbital Hall Effect in Transition Metals: Origin of Large Spin and
  Anomalous Hall Effects

abstract:
  In transition metals and their compounds, the orbital degrees of freedom
gives rise to an orbital current, in addition to the ordinary spin and charge
currents. We reveal that considerably large spin and anomalous Hall effects
(SHE and AHE) observed in transition metals originate from an orbital Hall
effect (OHE). To elucidate the origin of these novel Hall effects, a simple
periodic s-d hybridization model is proposed as a generic model. The giant
positive OHE originates from the orbital Aharonov-Bohm phase factor, and
induces spin Hall conductivity that is proportional to the spin-orbit
polarization at the Fermi level, which is positive (negative) in metals with
more than (less than) half-filling.


title: Seismic analysis of 70 Ophiuchi A: A new quantity proposed

abstract:
  The basic intent of this paper is to model 70 Ophiuchi A using the latest
asteroseismic observations as complementary constraints and to determine the
fundamental parameters of the star. Additionally, we propose a new quantity to
lift the degeneracy between the initial chemical composition and stellar age.
Using the Yale stellar evolution code (YREC7), we construct a series of stellar
evolutionary tracks for the mass range $M$ = 0.85 -- 0.93 $M_{\odot}$ with
different composition $Y_{i}$ (0.26 -- 0.30) and $Z_{i}$ (0.017 -- 0.023).
Along these tracks, we select a grid of stellar model candidates that fall
within the error box in the HR diagram to calculate the theoretical
frequencies, the large- and small- frequency separations using the Guenther's
stellar pulsation code. Following the asymptotic formula of stellar $p$-modes,
we define a quantity $r_{01}$ which is correlated with stellar age. Also, we
test it by theoretical adiabatic frequencies of many models. Many detailed
models of 70 Ophiuchi A have been listed in Table 3. By combining all
non-asteroseismic observations available for 70 Ophiuchi A with these
seismological data, we think that Model 60, Model 125 and Model 126, listed in
Table 3, are the optimum models presently. Meanwhile, we predict that the
radius of this star is about 0.860 -- 0.865 $R_{\odot}$ and the age is about
6.8 -- 7.0 Gyr with mass 0.89 -- 0.90 $M_{\odot}$. Additionally, we prove that
the new quantity $r_{01}$ can be a useful indicator of stellar age.


title: Paired atom laser beams created via four-wave mixing

abstract:
  A method to create paired atom laser beams from a metastable helium atom
laser via four-wave mixing is demonstrated. Radio frequency outcoupling is used
to extract atoms from a Bose Einstein condensate near the center of the
condensate and initiate scattering between trapped and untrapped atoms. The
unequal strengths of the interactions for different internal states allows an
energy-momentum resonance which leads to the creation of pairs of atoms
scattered from the zero-velocity condensate. The resulting scattered beams are
well separated from the main atom laser in the 2-dimensional transverse atom
laser profile. Numerical simulations of the system are in good agreement with
the observed atom laser spatial profiles, and indicate that the scattered beams
are generated by a four-wave mixing process, suggesting that the beams are
correlated.


title: Strong CP Problem and the Natural Hierarchy of Yukawa Couplings

abstract:
  A possible solution to the strong CP problem is presented without using an
axion. The model is based on the framework of the supersymmetric vectorlike
theory with the spontaneous breakdown of the P-C-T-invariance. It is shown that
the characteristic structure of the Yukawa coupling matrices that results from
the spontaneous P-C-T-breaking plays the essential role in naturally realizing
$\theta=0$ at the tree level. It is argued that $\theta=0$ will not be affected
by the radiative corrections.


title: On Kazhdan-Lusztig cells in type B

abstract:
  We prove that, for any choice of parameters, the Kazhdan-Lusztig cells of a
Weyl group of type $B$ are unions of combinatorial cells (defined using the
domino insertion algorithm).


title:
Reconstruction of biological networks by supervised machine learning
  approaches

abstract:
  We review a recent trend in computational systems biology which aims at using
pattern recognition algorithms to infer the structure of large-scale biological
networks from heterogeneous genomic data. We present several strategies that
have been proposed and that lead to different pattern recognition problems and
algorithms. The strenght of these approaches is illustrated on the
reconstruction of metabolic, protein-protein and regulatory networks of model
organisms. In all cases, state-of-the-art performance is reported.


title:
On $\tau^{(2)}$-model in Chiral Potts Model and Cyclic Representation of
  Quantum Group $U_q(sl_2)$

abstract:
  We identify the precise relationship between the five-parameter
$\tau^{(2)}$-family in the $N$-state chiral Potts model and XXZ chains with
$U_q (sl_2)$-cyclic representation. By studying the Yang-Baxter relation of the
six-vertex model, we discover an one-parameter family of $L$-operators in terms
of the quantum group $U_q (sl_2)$. When $N$ is odd, the $N$-state
$\tau^{(2)}$-model can be regarded as the XXZ chain of $U_{\sf q} (sl_2)$
cyclic representations with ${\sf q}^N=1$. The symmetry algebra of the
$\tau^{(2)}$-model is described by the quantum affine algebra $U_{\sf q}
(\hat{sl}_2)$ via the canonical representation. In general for an arbitrary
$N$, we show that the XXZ chain with a $U_q (sl_2)$-cyclic representation for
$q^{2N}=1$ is equivalent to two copies of the same $N$-state
$\tau^{(2)}$-model.

categories: cond-mat.stat-mech hep-th math-ph math.MP math.QA nlin.SI


title:
SMA Imaging of CO(3-2) Line and 860 micron Continuum of Arp 220 :
  Tracing the Spatial Distribution of Luminosity

abstract:
  We used the Submillimeter Array (SMA) to image 860 micron continuum and
CO(3-2) line emission in the ultraluminous merging galaxy Arp 220, achieving a
resolution of 0.23" (80 pc) for the continuum and 0.33" (120 pc) for the line.
The CO emission peaks around the two merger nuclei with a velocity signature of
gas rotation around each nucleus, and is also detected in a kpc-size disk
encompassing the binary nucleus. The dust continuum, in contrast, is mostly
from the two nuclei. The beam-averaged brightness temperature of both line and
continuum emission exceeds 50 K at and around the nuclei, revealing the
presence of warm molecular gas and dust. The dust emission morphologically
agrees with the distribution of radio supernova features in the east nucleus,
as expected when a starburst heats the nucleus. In the brighter west nucleus,
however, the submillimeter dust emission is more compact than the supernova
distribution. The 860 micron core, after deconvolution, has a size of 50-80 pc,
consistent with recent 1.3 mm observations, and a peak brightness temperature
of (0.9-1.6)x10^2 K. Its bolometric luminosity is at least 2x10^{11} Lsun and
could be ~10^{12} Lsun depending on source structure and 860 micron opacity,
which we estimate to be of the order of tau_{860} ~ 1 (i.e., N_{H_2} ~ 10^{25}
cm^{-2}). The starbursting west nuclear disk must have in its center a dust
enshrouded AGN or a very young starburst equivalent to hundreds of super star
clusters. Further spatial mapping of bolometric luminosity through
submillimeter imaging is a promising way to identify the heavily obscured
heating sources in Arp 220 and other luminous infrared galaxies.


title:
Deuterium-deuterium nuclear cross-sections in insulator and metallic
  environments

abstract:
  The three-dimensional Thomas-Fermi (TF) model is used to simulate the
variation of the d+d to t + p cross-section at low impact energies, when the
target deuterium nucleus is embedded in metallic or insulator environments.
Comparison of the computational results to recent experiments demonstrates that
even though the TF model can explain some increase in the low energy cross
section for metallic host, a full explanation of the experimental results is
still lacking. Possible reasons for the disagreement are discussed.


title: On indices of 1-forms on determinantal singularities

abstract:
  We consider 1-forms on, so called, essentially isolated determinantal
singularities (a natural generalization of isolated ones), show how to define
analogues of the Poincar\'e--Hopf index for them, and describe relations
between these indices and the radial index. For isolated determinantal
singularities, we discuss properties of the homological index of a holomorphic
1-form and its relation with the Poincar\'e--Hopf index.


title: Minimal graphs in $\mathbb{R}^{4}$ with bounded Jacobians

abstract:
  We obtain a Bernstein type result for entire two dimensional minimal graphs
in $\mathbb{R}^{4}$, which extends a previous one due to L. Ni. Moreover, we
provide a characterization for complex analytic curves.


title: Luttinger liquid coupled to Bose-Einstein condensation reservoirs

abstract:
  We investigate the transport properties for a Luttinger liquid coupled to two
identical Bose-Einstein condensation reservoirs. Using the approach of equation
of motion for the Green function of the system, we find that the distance
between the two resonant transmission probability peaks of the system is
determined by the bosonic interaction strengths, and the sharpness of these
resonant peaks is mainly determined by the Rabi frequency and phase of the
Bose-Einstein condensation reservoir. These results for the proposed system
involving a Luttinger liquid may build a bridge between the controling
transport properties of cold atom in atom physics and the interacting boson
transport in low-dimensional condensed matter physics.


title: Particle-hole Hall effect in graphenelike structures

abstract:
  We show that a moderately strong constant electric field in the plane of a
monolayer graphene sheet can create particle-hole pairs at an observable rate.
The pairs undergo zitterbewegung in opposite directions leading to a Hall-like
separation of the charge carriers and a measurable transverse dipole moment is
predicted which serves as the signature of the zitterbewegung. In contrast with
the created pairs, the zero modes of the excitation induce a current transverse
to the electric field but do not result in separated charges. For bilayer
graphene a similar effect by the electric field is shown not to be possible.


title:
High Voltage CMOS Control Interface for Astronomy - Grade Charged
  Coupled Devices

abstract:
  The Pan-STARRS telescope consists of an array of smaller mirrors viewed by a
Gigapixel arrays of CCDs. These focal planes employ Orthogonal Transfer CCDs
(OTCCDs) to allow on-chip image stabilization. Each OTCCD has advanced logic
features that are controlled externally. A CMOS Interface Device for High
Voltage has been developed to provide the appropiate voltage signal levels from
a readout and control system designated STARGRASP. OTCCD chip output levels
range from -3.3V to 16.7V, with two different output drive strenghts required
depending on load capacitance (50pF and 1000pF), with 24mA of drive and a rise
time on the order of 100ns. Additional testing ADC structures have been
included in this chip to evaluate future functional additions for a next
version of the chip.


title:
Ionic Kratzer bond theory and vibrational levels for achiral covalent
  bond HH

abstract:
  A dihydrogen Hamiltonian reduces to the Sommerfeld-Kratzer-potential, adapted
for field quantization according to old-quantum theory. Constants omega_e, k_e
and r_e needed for the H_2 vibrational system derive solely from hydrogen mass
m_H. For H_2, a first principles ionic Kratzer oscillator returns the covalent
bond energy within 0,08 % and all levels within 0,02 %, 30 times better than
the Dunham oscillator and as accurate as early ab initio QM.


title: On the Weyl law for Toeplitz operators

abstract:
  A Weyl law for Toeplitz operators was proved by Boutet de Monvel and
Guillemin for general Toeplitz structures. In the setting of positive line
bundles, we revisit this theme in light of local asymptotic techniques based on
the microlocal theory of the Szego kernel. By pairing this approach with
classical arguments used to estimate the spectral function of a
pseudodifferential operator, we first establish a local Weyl law (that is, a
pointwise estimate on the spectral function of the Toeplitz operator).


title: Nearly Invariance of Jarlskog Determinant due to Planck Scale Effects

abstract:
  An asymmetry between the probabilities P(\nu_{\mu}\to\nu_{e}) and
P(\bar{\nu_{\mu}}\to\bar{\nu_{e}}) would be direct indication of CP violation
at the fundamental level. Planck scale effects on neutrino mixing, we have
derived the mixing angles of neutrino flavour due to Planck scale effects. It
has been shown that Jarlskog determinant remains nearly invariant due to Planck
scale effects.


title: Single Carbon Nanotube Transistor at GHz Frequency

abstract:
  We report on microwave operation of top-gated single carbon nanotube
transistors. From transmission measurements in the 0.1-1.6 GHz range, we deduce
device transconductance gm and gate-nanotube capacitance Cg of micro- and
nanometric devices. A large and frequency-independent gm of about 20
microSiemens is observed on short devices, which meets the best dc results. The
capacitance per unit gate length of 60 aF/micrometer is typical of top gates on
a conventional oxide with a dielectric constant equal to 10. This value is a
factor of 3-5 below the nanotube quantum capacitance which, according to recent
simulations, favors high transit frequencies . For our smallest devices, we
find a large transit frequency equal to 50 GHz with no evidence of saturation
in length dependence.


title:
Numerical Study of a Propagating Non-Thermal Microwave Feature in a
  Solar Flare Loop

abstract:
  We analytically and numerically study the motion of electrons along a
magnetic loop, to compare with the observation of the propagating feature of
the non-thermal microwave source in the 1999 August 28 solar flare reported by
Yokoyama et al. (2002). We model the electron motion with the Fokker-Planck
equation and calculate the spatial distribution of the gyrosynchrotron
radiation. We find that the microwave propagating feature does not correspond
to the motion of electrons with a specific initial pitch angle. This apparent
propagating feature is a consequence of the motion of an ensemble of electrons
with different initial pitch angles, which have different time and position to
produce strong radiation in the loop. We conclude that the non-thermal
electrons in the 1999 August 28 flare were isotropically accelerated and then
are injected into the loop.


title: Entanglement Skyrmions in multicomponent quantum Hall systems

abstract:
  We discuss charged topological spin textures in quantum Hall ferromagnets in
which the electrons carry a pseudospin as well as the usual spin degree of
freedom, as is the case in bilayer GaAs or monolayer graphene samples. We
develop a theory which treats spin and pseudospin on a manifestly equal
footing, which may also be of help in visualizing the relevant spin textures.
We in particular consider the entanglement of spin and pseudospin in the
presence of realistic anisotropies. An entanglement operator is introduced
which generates families of degenerate Skyrmions with differing entanglement
properties. We propose a local characterization of the latter, and touch on the
role entangled Skyrmions play in the nuclear relaxation time of quantum Hall
ferromagnets.


title:
Enhanced dimerization of TiOCl under pressure: spin-Peierls - to -
  Peierls transition

abstract:
  We report high-pressure x-ray diffraction and magnetization measurements
combined with ab-initio calculations to demonstrate that the high-pressure
optical and transport transitions recently reported in TiOCl, correspond in
fact to an enhanced Ti3+-Ti3+ dimerization existing already at room
temperature. Our results confirm the formation of a metal-metal bond between
Ti3+ ions along the b-axis of TiOCl, accompanied by a strong reduction of the
electronic gap. The evolution of the dimerization with pressure suggests a
crossover from the spin-Peierls to a conventional Peierls situation at high
pressures.


title:
The Poincare series of multiplier ideals of a simple complete ideal in a
  local ring of a smooth surface

abstract:
  For a simple complete ideal $\wp$ of a local ring at a closed point on a
smooth complex algebraic surface, we introduce an algebraic object, named
Poincar\'e series $P_{\wp}$, that gathers in an unified way the jumping numbers
and the dimensions of the vector space quotients given by consecutive
multiplier ideals attached to $\wp$. This paper is devoted to prove that
$P_{\wp}$ is a rational function giving an explicit expression for it.


title:
High-Resolution Simulation on Structure Formation with Extremely Light
  Bosonic Dark Matter

abstract:
  An alternative bosonic dark matter model is examined in detail via
high-resolution simulations. These bosons have particle mass of order
$10^{-22}eV$ and are non-interacting. If they do exist and can account for
structure formation, these bosons must be condensed into the Bose-Einstein
state and described by a coherent wave function. This matter, also known as
Fuzzy Dark Matter (Hu, Barkana & Gruzinov 2000),, is speculated to be able,
first, to eliminate the sub-galactic halos to solve the problem of
over-abundance of dwarf galaxies, and, second, to produce flat halo cores in
galaxies suggested by some observations. Our simulation results show that
although this extremely light bosonic dark matter indeed suppresses low-mass
halos, it can, to the contrary of expectation, yield singular halo cores. The
density profile of the singular halo is almost identical to the halo profile of
Navarro, Frenk & White (1997). Such a profile seems to be universal, in that it
can be produced via either accretion or merger.


title: Extended Formulations for Packing and Partitioning Orbitopes

abstract:
  We give compact extended formulations for the packing and partitioning
orbitopes (with respect to the full symmetric group) described and analyzed in
(Kaibel and Pfetsch, 2008). These polytopes are the convex hulls of all
0/1-matrices with lexicographically sorted columns and at most, resp. exactly,
one 1-entry per row. They are important objects for symmetry reduction in
certain integer programs.
  Using the extended formulations, we also derive a rather simple proof of the
fact that basically shifted-column inequalities suffice in order to describe
those orbitopes linearly.


title: APERTIF, a focal plane array for the WSRT

abstract:
  In this paper we describe a focal plane array (FPA) prototype, based on
Vivaldi elements, developed for the Westerbork Synthesis Radio Telescope (WSRT)
to increase its instantaneous field of view by a factor 25 and double its
current bandwidth. This prototype is the first step in a project that has the
ambition to equip most of the WSRT antennas with FPAs to improve the survey
speed of the telescope. Examples of scientific applications are surveys of the
northern sky in polarised continuum and HI emission, and efficient searches for
pulsars and transients.


title:
Asteroseismology of solar-type stars: signatures of convective and/or
  helium cores

abstract:
  Asteroseismology of solar-type stars is an important tool for constraining
stellar parameters and internal structure. Several frequency combinations are
largely used for comparisons between models and observations. In particular,
the ``small separations'' are very sensitive to stellar cores. We showed in a
previous paper that they can change sign, in contradiction with the
``asymptotic theory'', and that this behaviour could correspond to signatures
of convective and/or helium cores. Here we analyse this behaviour in detail by
systematic modelling during stellar evolution. We computed evolutionary tracks
for models with various masses (from 1.05 to 1.25 Msun) and various chemical
composition, with and without overshooting. We computed the adiabatic
oscillation frequencies of the models and analysed the evolution of their small
separations along an evolutionary track. We found that, for all cases, the
stars go through a stage, during their evolution time, where the small
separations computed between degrees l=0 and l=2 become negative in the
observed range of frequencies. This behaviour is clearly related to the
signature of a helium-rich core. We discuss the consequences for the
interpretation of the acoustic frequencies observed in solar-type stars.


title: Dominant Reaction Pathways in High Dimensional Systems

abstract:
  This paper is devoted to the development of a theoretical and computational
framework to efficiently sample the statistically significant thermally
activated reaction pathways, in multi-dimensional systems obeying Langevin
dynamics. We show how to obtain the set of most probable reaction pathways and
compute the corrections due to quadratic thermal fluctuations around such
trajectories. We discuss how to obtain predictions for the evolution of
arbitrary observables and how to generate conformations which are
representative of the transition state ensemble. We present an illustrative
implementation of our method by studying the diffusion of a point particle in a
2-dimensional funneled external potential.


title: Non-local Andreev transport through an interacting quantum dot

abstract:
  We investigate sub-gap transport through a single-level quantum dot tunnel
coupled to one superconducting and two normal-conducting leads. Despite the
tendency of a large charging energy to suppress the equilibrium proximity
effect, a finite Andreev current through the dot can be achieved in
non-equilibrium situations. We propose two schemes to identify non-local
Andreev transport. In one of them, the presence of strong Coulomb interaction
leads to negative values of the non-local conductance as a clear signal of
non-local Andreev transport.


title:
Surface energy and magneto-capacitance of superconductors under electric
  field bias

abstract:
  A superconducting layer exposed to a perpendicular electric field and a
parallel magnetic field is considered within the Ginzburg-Landau (GL) approach.
The GL equation is solved near the surface and the surface energy is
calculated. The nucleation critical field of superconducting state at the
surface depends on the magnetic and electric fields. Special consideration is
paid to the induced magnetic-field effect cause d by diamagnetic surface
currents. The latter effect is strongly dependent on the thickness of the
sample. The effective inverse capacitance determines the effective penetration
depth. It is found that the capacitance exhibits a jump at the surface critical
field. An experiment is suggested for determining the change in the effective
capacitance of the layer.


title:
From Black-Scholes and Dupire formulae to last passage times of local
  martingales. Part A : The infinite time horizon

abstract:
  These notes are the first half of the contents of the course given by the
second author at the Bachelier Seminar (February 8-15-22 2008) at IHP. They
also correspond to topics studied by the first author for her Ph.D.thesis.


title: Backward Stochastic PDEs related to the utility maximization problem

abstract:
  We study utility maximization problem for general utility functions using
dynamic programming approach. We consider an incomplete financial market model,
where the dynamics of asset prices are described by an $R^d$-valued continuous
semimartingale. Under some regularity assumptions we derive backward stochastic
partial differential equation (BSPDE) related directly to the primal problem
and show that the strategy is optimal if and only if the corresponding wealth
process satisfies a certain forward-SDE. As examples the cases of power,
exponential and logarithmic utilities are considered.


title:
Hubble law, Accelerating Universe and Pioneer Anomaly as effects of the
  space-time conformal geometry

abstract:
  The description of the cosmological expansion and its possible local
manifestations via treating the proper conformal transformations as a
coordinate transformation from a comoving Lorentz reference frame to an
uniformly accelerated one is given. The explicit form of the conformal time
inhomogeneity is established. The expression defining the location cosmological
distance in the form of simple function on the red shift is obtained. By
coupling it with the relativistic formula for the longitudinal Doppler effect,
the explicit expression for the Hubble law is obtained, which gives rise to the
connection between acceleration and the Hubble constant. The expression
generalizing the conventional Hubble law reproduces kinematically the
experimentally observed phenomenon treated conventionally as a Dark Energy
manifestation. The conformal time deformation in the small time limit leads to
the quadratic time nonlinearity. Being applied to describe the location-type
experiments, this predicts the existence of the universal uniformly changing
blue-shifted frequency drift. The obtained formulae reproduce the Pioneer
Anomaly experimental data.


title: Collisional Energy Loss of a Fast Parton in a QGP

abstract:
  The suppression of hadron p_T spectra in high energy central heavy-ion
collisions compared to proton-proton collisions, referred to as
'jet-quenching', is currently attributed to partonic energy loss in the hot
medium created in the collision. The RHIC experiments show that at large enough
p_T, hadron quenching is strong, and of similar magnitude for light and heavy
flavours. This point is difficult to understand in a parton energy loss
scenario, where the energy loss is believed to be dominantly radiative, and
quantitatively different for light partons and heavy quarks: gluon radiation
off a heavy quark is suppressed at small angles - within the so-called dead
cone - and a heavy quark suffers less radiative energy loss than a light
parton. In this context it is important to reconsider the collisional
contribution to partonic energy loss. Although it seems difficult to see how
collisional losses could substantially increase heavy flavour quenching without
simultaneously increasing light hadron quenching, it is theoretically important
to establish correct results for the heavy quark collisional energy loss.


title: Spatial Asymmetric Two dimensional Continuous Abelian Sandpile Model

abstract:
  We insert some asymmetries in the continuous Abelian sandpile models, such as
directedness and ellipticity. We analyze probability distribution of different
heights and also find the field theory corresponding to the models. Also we
find the fields associated with some height variables.


title: Decay of multiply charged vortices at nonzero temperatures

abstract:
  We study the instability of multiply charged vortices in the presence of
thermal atoms and find various scenarios of splitting of such vortices. The
onset of the decay of a vortex is always preceded by the increase of a number
of thermal (uncondensed) atoms in the system and manifests itself by the sudden
rise of the amplitude of the oscillations of the quadrupole moment. Our
calculations show that the decay time gets shorter when the multiplicity of a
vortex becomes higher.


title:
XMM-Newton Observations of Radio Pulsars B0834+06 and B0826-34 and
  Implications for Pulsar Inner Accelerator

abstract:
  We report the X-ray observations of two radio pulsars with drifting
subpulses: B0834 + 06 and B0826 - 34 using \xmm\. PSR B0834 + 06 was detected
with a total of 70 counts from the three EPIC instruments over 50 ks exposure
time. Its spectrum was best described as that of a blackbody (BB) with
temperature $T_s=(2.0^{+2.0}_{-0.9}) \times 10^6$ K and bolometric luminosity
of $L_b=(8.6^{+14.2}_{-4.4}) \times 10^{28}$ erg s$^{-1}$. As it is typical in
pulsars with BB thermal components in their X-ray spectra, the hot spot surface
area is much smaller than that of the canonical polar cap, implying a
non-dipolar surface magnetic field much stronger than the dipolar component
derived from the pulsar spin-down (in this case about 50 times smaller and
stronger, respectively). The second pulsar PSR B0826 - 34 was not detected over
50 ks exposure time, giving an upper limit for the bolometric luminosity $L_b
\leq 1.4 \times 10^{29}$ erg s$^{-1}$. We use these data as well as the radio
emission data concerned with drifting subpulses to test the Partially Screened
Gap (PSG) model of the inner accelerator in pulsars.


title:
A finite-frequency functional RG approach to the single impurity
  Anderson model

abstract:
  We use the Matsubara functional renormalization group (FRG) to describe
electronic correlations within the single impurity Anderson model. In contrast
to standard FRG calculations, we account for the frequency-dependence of the
two-particle vertex in order to address finite-energy properties (e.g, spectral
functions). By comparing with data obtained from the numerical renormalization
group (NRG) framework, the FRG approximation is shown to work well for
arbitrary parameters (particularly finite temperatures) provided that the
electron-electron interaction U is not too large. We demonstrate that aspects
of (large U) Kondo physics which are described well by a simpler
frequency-independent truncation scheme are no longer captured by the
'higher-order' frequency-dependent approximation. In contrast, at small to
intermediate U the results obtained by the more elaborate scheme agree better
with NRG data. We suggest to parametrize the two-particle vertex not by three
independent energy variables but by introducing three functions each of a
single frequency. This considerably reduces the numerical effort to integrate
the FRG flow equations.


title: The color gauge invariance and a possible origin of a mass gap in QCD

abstract:
  The general scale parameter, having the dimensions of mass squared, is
dynamically generated in the QCD gluon sector. It is introduced through the
difference between the regularized full gluon self-energy and its value at some
finite point. It violates transversality of the full gluon self-energy. The
Slavnov-Taylor identity for the full gluon propagator, when it is given by the
corresponding equation of motion, is also violated by it. So in order to
maintain both transversality and the identity it should be disregarded from the
very beginning, i.e., put formally zero everywhere. However, we have shown how
to preserve the above-mentioned identity at non-zero mass squared parameter.
This allows one to establish the structure of the full gluon propagator when it
is explicitly present. Its contribution does not survive in the perturbation
theory regime when the gluon momentum goes to infinity. At the same time, its
contribution dominates the structure of the full gluon propagator when the
gluon momentum goes to zero. We have also proposed a method how to restore
transversality of the relevant gluon propagator in a gauge invariant way, while
keeping the mass squared parameter "alive".


title:
Possible nature of the dielectric activity of He II observed in
  experiments with second sound

abstract:
  An attempt is made to explain the nature of the electric signal observed in
He II in a second-sound standing wave. Using the general quantum-mechanical
principles, we show that, due to interatomic interaction, each atom of He-II
acquires a small fluctuating induced dipole moment. A directed flux of
microscopic vortex rings -- which, together with phonons, are thermal
excitations of He II -- forms in the second-sound standing halfwave. This flux
partially orders the chaotically oriented dipole moments of the atoms, which
results in volume polarization of He II. The observed electric induction can be
explained theoretically under the assumption that each vortex ring possesses a
dipole moment of the order of ten atomic moments. It is shown also that the
theoretical value of the voltage U induced in He II by the volume system of
dipoles strongly depends on the dimensions of the resonator for dipoles of any
origin. The experimental value of U is the same for two resonators of different
size; therefore, this voltage may be not connected with the volume polarization
of He II.


title: Spin-singlet superconductivity with multiple gaps in PrO0.89F0.11FeAs

abstract:
  Since the discovery of high transition-temperature (Tc) superconductivity in
copper oxides two decades ago, continuous efforts have been devoted to
searching for similar phenomenon in other compounds. With the exception of MgB2
(Tc =39 K), however, Tc is generally far lower than desired. Recently,
breakthrough has been made in a new class of oxypnictide compounds. Following
the initial discovery of superconductivity in LaO1-x FxFeAs (Tc =26 K), Tc
onset has been raised to 55 K in ReO1-xFxFeAs (Re: Ce, Pr, Nd, Sm). Meanwhile,
unravelling the nature of the energy associated with the formation of
current-carrying pairs (Cooper pairs), referred to as the superconducting
energy gap, is the first and vital step towards understanding why the
superconductivity occurs at such high temperature and is also important for
finding superconductors with still higher Tc. Here we show that, on the basis
of the nuclear magnetic resonance (NMR) measurements in PrO0.89F0.11FeAs (Tc
=45 K), the Cooper pair is in the spin-singlet state (two spins are
anti-paralleled), with two energy gaps opening below Tc. The results strongly
suggest the existence of nodes (zeros) in the gap. None of superconductors
known to date has such unique gap features, although copper-oxides and MgB2
share part of them.


title:
Checking the Quality of Clinical Guidelines using Automated Reasoning
  Tools

abstract:
  Requirements about the quality of clinical guidelines can be represented by
schemata borrowed from the theory of abductive diagnosis, using temporal logic
to model the time-oriented aspects expressed in a guideline. Previously, we
have shown that these requirements can be verified using interactive theorem
proving techniques. In this paper, we investigate how this approach can be
mapped to the facilities of a resolution-based theorem prover, Otter, and a
complementary program that searches for finite models of first-order
statements, Mace. It is shown that the reasoning required for checking the
quality of a guideline can be mapped to such fully automated theorem-proving
facilities. The medical quality of an actual guideline concerning diabetes
mellitus 2 is investigated in this way.


title: On Hamilton Decompositions

abstract:
  P. J. Kelly conjectured in 1968 that every diregular tournament on (2n+1)
points can be decomposed in directed Hamilton circuits [1]. We define so called
leading diregular tournament on (2n+1) points and show that it can be
decomposed in directed Hamilton circuits when (2n+1) is a prime number. When
(2n+1) is not a prime number this method does not work and we will need to
devise some another method. We also propose a general method to find Hamilton
decomposition of certain tournament for all sizes.


title: Susceptibility in subcritical random graphs

abstract:
  We study the evolution of the susceptibility in the subcritical random graph
$G(n,p)$ as $n$ tends to infinity. We obtain precise asymptotics of its
expectation and variance, and show it obeys a law of large numbers. We also
prove that the scaled fluctuations of the susceptibility around its
deterministic limit converge to a Gaussian law. We further extend our results
to higher moments of the component size of a random vertex, and prove that they
are jointly asymptotically normal.


title: On collinear sets in straight line drawings

abstract:
  We consider straight line drawings of a planar graph $G$ with possible edge
crossings. The \emph{untangling problem} is to eliminate all edge crossings by
moving as few vertices as possible to new positions. Let $fix(G)$ denote the
maximum number of vertices that can be left fixed in the worst case. In the
\emph{allocation problem}, we are given a planar graph $G$ on $n$ vertices
together with an $n$-point set $X$ in the plane and have to draw $G$ without
edge crossings so that as many vertices as possible are located in $X$. Let
$fit(G)$ denote the maximum number of points fitting this purpose in the worst
case. As $fix(G)\le fit(G)$, we are interested in upper bounds for the latter
and lower bounds for the former parameter.
  For each $\epsilon>0$, we construct an infinite sequence of graphs with
$fit(G)=O(n^{\sigma+\epsilon})$, where $\sigma<0.99$ is a known graph-theoretic
constant, namely the shortness exponent for the class of cubic polyhedral
graphs. To the best of our knowledge, this is the first example of graphs with
$fit(G)=o(n)$. On the other hand, we prove that $fix(G)\ge\sqrt{n/30}$ for all
$G$ with tree-width at most 2. This extends the lower bound obtained by Goaoc
et al. [Discrete and Computational Geometry 42:542-569 (2009)] for outerplanar
graphs.
  Our upper bound for $fit(G)$ is based on the fact that the constructed graphs
can have only few collinear vertices in any crossing-free drawing. To prove the
lower bound for $fix(G)$, we show that graphs of tree-width 2 admit drawings
that have large sets of collinear vertices with some additional special
properties.


title:
Crossover from one-dimensional copper-oxygen chains to two-dimensional
  ladders charge transport in (La,Y)y(Sr,Ca)14-yCu24O41

abstract:
  The charge transport in the copper-oxygen chain/ladder layers of
(La,Y)y(Sr,Ca)14-yCu24O41 is investigated along two crystallographic directions
in the temperature range from 50 K to 700 K and for doping levels from y ~= 6
(number of holes nh < 1) to y = 0 (number of holes nh = 6). A crossover from a
one-dimensional hopping transport along the chains for y >= 3 to a
quasi-two-dimensional charge conduction in the ladder planes for y <~ 2 is
observed. This is attributed to a partial hole transfer from chains to ladders
when the hole doping exceeds nh ~= 4 and approaches fully doped value n_h = 6.
For y <~ 2 a weak dielectric relaxation at radio-frequencies and a microwave
mode are detected, which might be recognized as signatures of a charge-density
wave phase developed at short length scales in the ladders planes.


title: Waveguide-to-planar circuit transition for millimetre-wave detectors

abstract:
  We present a novel design of a waveguide to microstrip or coplanar waveguide
transition using a unilateral finline taper. The transition from the unilateral
finline mode to the TEM microstrip mode is done directly, avoiding the
antipodal finline tapers that have commonly been employed. This results in
significant simplification of the design and fabrication, and shortening of the
chip length, thereby reducing insertion loss. In this paper we shall present
designs at 90 GHz that can be employed in superconducting tunnel junction
mixers or Transition Edge Sensor bolometers, and scale-model measurements at 15
GHz.


title: The StarScan plate measuring machine: overview and calibrations

abstract:
  The StarScan machine at the U.S. Naval Observatory (USNO) completed measuring
photographic astrograph plates to allow determination of proper motions for the
USNO CCD Astrograph Catalog (UCAC) program. All applicable 1940 AGK2 plates,
about 2200 Hamburg Zone Astrograph plates, 900 Black Birch (USNO Twin
Astrograph) plates, and 300 Lick Astrograph plates have been measured. StarScan
comprises of a CCD camera, telecentric lens, air-bearing granite table, stepper
motor screws, and Heidenhain scales to operate in a step-stare mode. The
repeatability of StarScan measures is about 0.2 micrometer. The CCD mapping as
well as the global table coordinate system has been calibrated using a special
dot calibration plate and the overall accuracy of StarScan x,y data is derived
to be 0.5 micrometer. Application to real photographic plate data shows that
position information of at least 0.65 micrometer accuracy can be extracted from
course grain 103a-type emulsion astrometric plates. Transformations between
"direct" and "reverse" measures of fine grain emulsion plate measures are
obtained on the 0.3 micrometer level per well exposed stellar image and
coordinate, which is at the limit of the StarScan machine.


title: High-mass dimuon resonances in Pb-Pb collisions at 5.5 TeV in CMS

abstract:
  The measurement of the charmonium ($J/\psi$, $\psi'$) and bottomonium
($\Upsilon$, $\Upsilon'$, ${\Upsilon''}$) resonances and $Z^0$ boson in
nucleus-nucleus collisions provides crucial information on high density QCD
matter. The observation of anomalous suppression of $J/\psi$ at the CERN-SPS
and RHIC is well established but the clarification of some important questions
requires equivalent studies of the $\Upsilon$ family, only possible at LHC
energies. The $Z^0$ boson will be produced for the first time in heavy-ion
collisions at the LHC and, since its dominant production channel is through
$q{\bar q}$ fusion, it is an excellent probe of the nuclear modification of
quark distribution functions. This paper reports the capabilities of the CMS
detector to study quarkonium and $Z^0$ production in Pb-Pb collisions at 5.5
TeV, through the dimuon decay channel.


title: On totally real Hilbert-Speiser Fields of type C_p

abstract:
  Let G be a finite abelian group. A number field K is called a Hilbert-Speiser
field of type G if for every tame G-Galois extension L/K has a normal integral
basis, i.e., the ring of integers O_L is free as an O_K[G]-module. Let C_p
denote the cyclic group of prime order p. We show that if p >= 7 (or p=5 and
extra conditions are met) and K is totally real with K/Q ramified at p, then K
is not Hilbert-Speiser of type C_p.


title: Effective Interacting Hamiltonian and Pairing Symmetry of LaOFeAs

abstract:
  We establish the general form of effective interacting Hamiltonian for
LaOFeAs system based on the symmetry consideration. The peculiar symmetry
property of the electron states yields unusual form of electron-electron
interaction. Based on the general effective Hamiltonian, we determine all the
ten possible pairing states. More physical considerations would further reduce
the list of the candidates for the pairing state.


title: On ergodic behavior of $p$-adic dynamical systems

abstract:
  Monomial mappings, $x\mapsto x^n$, are topologically transitive and ergodic
with respect to Haar measure on the unit circle in the complex plane. In this
paper we obtain an anologous result for monomial dynamical systems over
$p-$adic numbers. The process is, however, not straightforward. The result will
depend on the natural number $n$. Moreover, in the $p-$adic case we never have
ergodicity on the unit circle, but on the circles around the point 1.


title:
Measurement of pi0 and eta Mesons with PHENIX in sqrt(s_NN) = 200 GeV
  Au+Au Collisions at RHIC

abstract:
  The pi0 meson has been a crucial proble for observing jet quenching in
ultrarelativistic heavy-ion collisions at RHIC. Measurements of the eta meson
in the same collisions have also shed light on a possible dependence of the
observed suppression on the particle species. The preliminary pi0 nuclear
modification factor R_AA from the 2004 RHIC run allowed a first systematic
comparison between a precise measurement with high statistics and theoretical
calculations, constraining model parameters such as the initial gluon density
dN^g/dy, and the transport coefficient qhat. The final pi0 spectra and R_AA are
shown as well as the first eta results obtained with both PHENIX
electromagnetic calorimeters.


title:
Effects of Axial Vorticity in Elongated Mixtures of Bose-Einstein
  Condensates

abstract:
  We consider a meniscus between rotating and nonrotating species in the
Bose-Einstein condensate (BEC) with repulsive inter-atomic interactions,
confined to a pipe-shaped trap. In this setting, we derive a system of coupled
one-dimensional (1D) nonpolynomial Schrodinger equations (NPSEs) for two
mean-field wave functions. Using these equations, we analyze the phase
separation/mixing in the pipe with periodic axial boundary conditions, i.e. in
a toroidal configuration. We find that the onset of the mixing, in the form of
suction, i.e., filling the empty core in the vortical component by its
nonrotating counterpart, crucially depends on the vorticity of the first
component, and on the strengths of the inter-atomic interactions.


title: On Some Perturbation Approaches to Population Dynamics

abstract:
  We show that the Adomian decomposition method, the time--series expansion,
the homotopy--perturbation method, and the variational--iteration method
completely fail to provide a reasonable description of the dynamics of the
simplest prey--predator system.


title: The quantized walled Brauer algebra and mixed tensor space

abstract:
  In this paper we investigate a multi-parameter deformation
$\mathfrak{B}_{r,s}^n(a,\lambda,\delta)$ of the walled Brauer algebra which was
previously introduced by Leduc (\cite{leduc}). We construct an integral basis
of $\mathfrak{B}_{r,s}^n(a,\lambda,\delta)$ consisting of oriented tangles
which is in bijection with walled Brauer diagrams. Moreover, we study a natural
action of $\mathfrak{B}_{r,s}^n(q)= \mathfrak{B}_{r,s}^n(q^{-1}-q,q^n,[n]_q)$
on mixed tensor space and prove that the kernel is free over the ground ring
$R$ of rank independent of $R$. As an application, we prove one side of
Schur--Weyl duality for mixed tensor space: the image of
$\mathfrak{B}_{r,s}^n(q)$ in the $R$-endomorphism ring of mixed tensor space
is, for all choices of $R$ and the parameter $q$, the endomorphism algebra of
the action of the (specialized via the Lusztig integral form) quantized
enveloping algebra $\mathbf{U}$ of the general linear Lie algebra
$\mathfrak{gl}_n$ on mixed tensor space. Thus, the $\mathbf{U}$-invariants in
the ring of $R$-linear endomorphisms of mixed tensor space are generated by the
action of $\mathfrak{B}_{r,s}^n(q)$.


title:
Observations of Solar Doppler Shift Oscillations with the EUV Imaging
  Spectrometer on Hinode

abstract:
  Damped Doppler shift oscillations have been observed in emission lines from
ions formed at flare temperatures with the Solar Ultraviolet Measurements of
Emitted Radiation spectrometer on the Solar and Heliospheric Observatory and
with the Bragg Crystal Spectrometer on Yohkoh. This Letter reports the
detection of low-amplitude damped oscillations in coronal emission lines formed
at much lower temperatures observed with the EUV Imaging Spectrometer on the
Hinode satellite. The oscillations have an amplitude of about 2 km/s, and a
period of around 35 min. The decay times show some evidence for a temperature
dependence with the lowest temperature of formation emission line (Fe XII
195.12 Angstroms) exhibiting a decay time of about 43 min, while the highest
temperature of formation emission line (Fe XV 284.16 Angstroms) shows no
evidence for decay over more than two periods of the oscillation. The data
appear to be consistent with slow magnetoacoustic standing waves, but may be
inconsistent with conductive damping.


title:
Correlated band structure of NiO, CoO and MnO by variational cluster
  approximation

abstract:
  The variational cluster approximation proposed by Potthoff is applied to the
calculation of the single-particle spectral function of the transition metal
oxides MnO, CoO and NiO. Trial self-energies and the numerical value of the
Luttinger-Ward functional are obtained by exact diagonalization of a
TMO6-cluster. The single-particle parameters of this cluster serve as
variational parameters to construct a stationary point of the grand potential
of the lattice system. The stationary point is found by a crossover procedure
which allows to go continuously from an array of disconnected clusters to the
lattice system. The self-energy is found to contain irrelevant degrees of
freedom which have marginal impact on the grand potential and which need to be
excluded to obtain meaningful results. The obtained spectral functions are in
good agreement with experimental data.


title: On the Hochschild (co)homology of Quantum Homogeneous Spaces

abstract:
  The recent result of Brown and Zhang establishing Poincare duality in the
Hochschild (co)homology of a large class of Hopf algebras is extended to right
coideal subalgebras over which the Hopf algebra is faithfully flat, and applied
to the standard Podles quantum 2-sphere.


title:
Analysis of the convergence of the 1/t and Wang-Landau algorithms in the
  calculation of multidimensional integrals

abstract:
  In this communication, the convergence of the 1/t and Wang - Landau
algorithms in the calculation of multidimensional numerical integrals is
analyzed. Both simulation methods are applied to a wide variety of integrals
without restrictions in one, two and higher dimensions. The errors between the
exact and the calculated values of the integral are obtained and the efficiency
and accuracy of the methods are determined by their dynamical behavior. The
comparison between both methods and the simple sampling Monte Carlo method is
also reported. It is observed that the time dependence of the errors calculated
with 1/t algorithm goes as N^{-1/2} (with N the MC trials) in quantitative
agreement with the simple sampling Monte Carlo method. It is also showed that
the error for the Wang - Landau algorithm saturates in time evidencing the
non-convergence of the methods. The sources for the error are also determined.


title: Analysis of B_s->\phi \ell^+ \ell^- decay with new physics effects

abstract:
  The rare B_s-> \phi \ell^+ \ell^- decay is investigated by using the most
general model independent effective Hamiltonian for $\ell= \mu, \tau$. The
calculated $Br(B_s \rar \phi \mu^+ \mu^-) = 1.92 \times 10^{-6}$ is in
consistent with the experimental upper bound. The dependencies of the branching
ratios and polarization asymmetries of leptons and combined lepton-antilepton
asymmetries on the new Wilson coefficients are presented. The analysis shows
that the branching ratios and the lepton polarization asymmetries are very
sensitive to the scalar and tensor type interactions. The results obtained in
this work will be very useful in searching new physics beyond the standard
model.


title: The Einstein-Podolsky-Rosen paradox: from concepts to applications

abstract:
  This Colloquium examines the field of the EPR Gedankenexperiment, from the
original paper of Einstein, Podolsky and Rosen, through to modern theoretical
proposals of how to realize both the continuous-variable and discrete versions
of the EPR paradox. We analyze the relationship with entanglement and Bell's
theorem, and summarize the progress to date towards experimental confirmation
of the EPR paradox, with a detailed treatment of the continuous-variable
paradox in laser-based experiments. Practical techniques covered include
continuous-wave parametric amplifier and optical fibre quantum soliton
experiments. We discuss current proposals for extending EPR experiments to
massive-particle systems, including spin-squeezing, atomic position entangle-
ment, and quadrature entanglement in ultra-cold atoms. Finally, we examine
applications of this technology to quantum key distribution, quantum
teleportation and entanglement-swapping.


title: On the Linearization of the First and Second Painleve' Equations

abstract:
  We found Fuchs--Garnier pairs in 3X3 matrices for the first and second
Painleve' equations which are linear in the spectral parameter. As an
application of our pairs for the second Painleve' equation we use the
generalized Laplace transform to derive an invertible integral transformation
relating two its Fuchs--Garnier pairs in 2X2 matrices with different
singularity structures, namely, the pair due to Jimbo and Miwa and the one
found by Harnad, Tracy, and Widom. Together with the certain other
transformations it allows us to relate all known 2X2 matrix Fuchs--Garnier
pairs for the second Painleve' equation with the original Garnier pair.


title: Wigner tomography of two qubit states and quantum cryptography

abstract:
  Tomography of the two qubit density matrix shared by Alice and Bob is an
essential ingredient for guaranteeing an acceptable margin of confidentiality
during the establishment of a secure fresh key through the Quantum Key
Distribution (QKD) scheme. We show how the Singapore protocol for key
distribution is optimal from this point of view, due to the fact that it is
based on so called SIC POVM qubit tomography which allows the most accurate
full tomographic reconstruction of an unknown density matrix on the basis of a
restricted set of experimental data. We illustrate with the help of
experimental data the deep connections that exist between SIC POVM tomography
and discrete Wigner representations. We also emphasise the special role played
by Bell states in this approach and propose a new protocol for Quantum Key
Distribution during which a third party is able to concede or to deny A
POSTERIORI to the authorized users the ability to build a fresh cryptographic
key.


title: "Bubbles in Society": The Example of the United States Apollo Program

abstract:
  We present an analysis of the economic, political and social factors that
underlay the Apollo program, one of the most exceptional and costly projects
ever undertaken by the United States in peacetime that culminated in 1969 with
the first human steps on the Moon. This study suggests that the Apollo program
provides a vivid illustration of a societal bubble, defined as a collective
over-enthusiasm as well as unreasonable investments and efforts, derived
through excessive public and/or political expectations of positive outcomes
associated with a general reduction of risk aversion. We show that economic,
political and social factors weaved a network of reinforcing feedbacks that led
to widespread over-enthusiasm and extraordinary commitment by individuals
involved in the project as well as by politicians and by the public at large.
We propose the general concept of ``pro-bubbles,'' according to which bubbles
are an unavoidable development in technological and social enterprise that
benefits society by allowing exceptional niches of innovation to be explored.


title: Motivic Landweber Exactness

abstract:
  We prove a motivic version of Landweber's exact functor theorem from
topology. The main result is that the assignment given by a Landweber-type
formula using the MGL-homology of a motivic spectrum defines a homology theory
on the stable motivic homotopy category and is representable by a Tate-like (or
cellular) spectrum. Using the universal coefficient spectral sequence of
Dugger-Isaksen we deduce formulas for operations of motivic Landweber spectra
of a certain type including homotopy algebraic K-theory. Finally we construct a
Chern character as a map between motivic spectra.


title: Quantum dot attachment and morphology control by carbon nanotubes

abstract:
  Novel applications in nanotechnology rely on the design of tailored
nano-architectures. For this purpose, carbon nanotubes and nanoparticles are
intensively investigated. In this work we study the influence of
non-functionalized carbon nanotubes on the synthesis of CdSe nanoparticles by
means of organometallic colloidal routes. This new synthesis methodology does
not only provide an effective path to attach nanoparticles non-covalently to
carbon nanotubes but represents also a new way to control the shape of
nanoparticles.


title: Symbolic dynamics of biological feedback networks

abstract:
  We formulate general rules for a coarse-graining of the dynamics, which we
term `symbolic dynamics', of feedback networks with monotone interactions, such
as most biological modules. Networks which are more complex than simple cyclic
structures can exhibit multiple different symbolic dynamics. Nevertheless, we
show several examples where the symbolic dynamics is dominated by a single
pattern that is very robust to changes in parameters and is consistent with the
dynamics being dictated by a single feedback loop. Our analysis provides a
method for extracting these dominant loops from short time series, even if they
only show transient trajectories.


title: Optical properties of graphene antidot lattices

abstract:
  Undoped graphene is semi-metallic and thus not suitable for many electronic
and optoelectronic applications requiring gapped semiconductor materials.
However, a periodic array of holes (antidot lattice) renders graphene
semiconducting with a controllable band gap. Using atomistic modelling, we
demonstrate that this artificial nanomaterial is a dipole-allowed direct gap
semiconductor with a very pronounced optical absorption edge. Hence, optical
infrared spectroscopy should be an ideal probe of the electronic structure. To
address realistic experimental situations, we include effects due to disorder
and the presence of a substrate in the analysis.


title:
Local uniformization and free boundary regularity of minimal singular
  surfaces

abstract:
  In continuing the study of harmonic mapping from 2-dimensional Riemannian
simplicial complexes in order to construct minimal surfaces with singularity,
we obtain an a-priori regularity result concerning the real analyticity of the
free boundary curve. The free boundary is the singular set along which three
disk-type minimal surfaces meet. Here the configuration of the singular minimal
surface is obtained by a minimization of a weighted energy functional, in the
spirit of J.Douglas' approach to the Plateau Problem. Using the free boundary
regularity of the harmonic map, we construct a local uniformization of the
singular surface as a parameterization of a neighborhood of a point on the free
boundary by the singular tangent cone. In addition, applications of the local
uniformization are discussed in relation to H.Lewy's real analytic extension of
minimal surfaces.


title: Ordered k-flaw Preferences Sets

abstract:
  In this paper, we focus on ordered $k$-flaw preference sets. Let
$\mathcal{OP}_{n,\geq k}$ denote the set of ordered preference sets of length
$n$ with at least $k$ flaws and $\mathcal{S}_{n,k}=\{(x_1,...,x_{n-k})\mid
x_1+x_2+... +x_{n-k}=n+k, x_i\in\mathbb{N}\}$. We obtain a bijection from the
sets $\mathcal{OP}_{n,\geq k}$ to $\mathcal{S}_{n,k}$. Let $\mathcal{OP}_{n,k}$
denote the set of ordered preference sets of length $n$ with exactly $k$ flaws.
An $(n,k)$-\emph{flaw path} is a lattice path starting at $(0,0)$ and ending at
$(2n,0)$ with only two kinds of steps--rise step: $U=(1,1)$ and fall step:
$D=(1,-1)$ lying on the line $y = -k$ and touching this line. Let
$\mathcal{D}_{n,k}$ denote the set of $(n, k)$-flaw paths. Also we establish a
bijection between the sets $\mathcal{OP}_{n,k}$ and $\mathcal{D}_{n,k}$. Let
$op_{n,\geq k,\leq l}^m$ $(op_{n, k, =l}^m)$ denote the number of preference
sets $\alpha=(a_1,...,a_n)$ with at least $k$ (exact) flaws and leading term
$m$ satisfying $a_i\leq l$ for any $i$ $(\max\{a_i\mid 1\leq i\leq n\}=l)$,
respectively. With the benefit of these bijections, we obtain the explicit
formulas for $op_{n,\geq k,\leq l}^m$. Furthermore, we give the explicit
formulas for $op_{n, k, =l}^m$. We derive some recurrence relations of the
sequence formed by ordered $k$-flaw preference sets of length $n$ with leading
term $m$. Using these recurrence relations, we obtain the generating functions
of some corresponding $k$-flaw preference sets.


title: Fast winning strategies in Avoider-Enforcer games

abstract:
  In numerous positional games the identity of the winner is easily determined.
In this case one of the more interesting questions is not {\em who} wins but
rather {\em how fast} can one win. These type of problems were studied earlier
for Maker-Breaker games; here we initiate their study for unbiased
Avoider-Enforcer games played on the edge set of the complete graph $K_n$ on
$n$ vertices. For several games that are known to be an Enforcer's win, we
estimate quite precisely the minimum number of moves Enforcer has to play in
order to win. We consider the non-planarity game, the connectivity game and the
non-bipartite game.


title: k-flaw Preference Sets

abstract:
  In this paper, let $\mathcal{P}_{n;\leq s;k}^l$ denote a set of $k$-flaw
preference sets $(a_1,...,a_n)$ with $n$ parking spaces satisfying that $1\leq
a_i\leq s$ for any $i$ and $a_1=l$ and $p_{n;\leq s;k}^l=|\mathcal{P}_{n;\leq
s;k}^l|$. We use a combinatorial approach to the enumeration of $k$-flaw
preference sets by their leading terms. The approach relies on bijections
between the $k$-flaw preference sets and labeled rooted forests. Some bijective
results between certain sets of $k$-flaw preference sets of distinct leading
terms are also given. We derive some formulas and recurrence relations for the
sequences $p_{n;\leq s;k}^l$ and give the generating functions for these
sequences.


title:
Local approximation algorithms for a class of 0/1 max-min linear
  programs

abstract:
  We study the applicability of distributed, local algorithms to 0/1 max-min
LPs where the objective is to maximise ${\min_k \sum_v c_{kv} x_v}$ subject to
${\sum_v a_{iv} x_v \le 1}$ for each $i$ and ${x_v \ge 0}$ for each $v$. Here
$c_{kv} \in \{0,1\}$, $a_{iv} \in \{0,1\}$, and the support sets ${V_i = \{v :
a_{iv} > 0 \}}$ and ${V_k = \{v : c_{kv}>0 \}}$ have bounded size; in
particular, we study the case $|V_k| \le 2$. Each agent $v$ is responsible for
choosing the value of $x_v$ based on information within its constant-size
neighbourhood; the communication network is the hypergraph where the sets $V_k$
and $V_i$ constitute the hyperedges. We present a local approximation algorithm
which achieves an approximation ratio arbitrarily close to the theoretical
lower bound presented in prior work.


title: Model of information diffusion

abstract:
  The system of cellular automata, which expresses the process of dissemination
and publication of the news among separate information resources, has been
described. A bell-shaped dependence of news diffusion on internet-sources
(web-sites) coheres well with a real behavior of thematic data flows, and at
local time spans - with noted models, e.g., exponential and logistic ones.


title: Representations of logmodular algebras

abstract:
  We study the question of whether or not contractive representations of
logmodular algebras are completely contractive. We prove that a 2-contractive
representation of a logmodular algebra extends to a positive map on the
enveloping C*-algebra, which we show generalizes a result of Foias and Suciu on
uniform logmodular algebras. Our proof uses non-commutative operator space
generalizations of classical results on 2-summing maps and semispectral
measures. We establish some matrix factorization results for uniform logmodular
algebras


title: Bulk viscosity in kaon-condensed color-flavor locked quark matter

abstract:
  Color-flavor locked (CFL) quark matter at high densities is a color
superconductor, which spontaneously breaks baryon number and chiral symmetry.
Its low-energy thermodynamic and transport properties are therefore dominated
by the H (superfluid) boson, and the octet of pseudoscalar pseudo-Goldstone
bosons of which the neutral kaon is the lightest. We study the CFL-K^0 phase,
in which the stress induced by the strange quark mass causes the kaons to
condense, and there is an additional ultra-light "K^0" Goldstone boson arising
from the spontaneous breaking of isospin. We compute the bulk viscosity of
matter in the CFL-K^0 phase, which arises from the beta-equilibration processes
K^0<->H+H and K^0+H<->H. We find that the bulk viscosity varies as T^7, unlike
the CFL phase where it is exponentially Boltzmann-suppressed by the kaon's
energy gap. However, in the temperature range of relevance for r-mode damping
in compact stars, the bulk viscosity in the CFL-K^0 phase turns out to be even
smaller than in the uncondensed CFL phase, which already has a bulk viscosity
much smaller than all other known color-superconducting quark phases.