title: Adiabatic Quantum Computation with a 1D projector Hamiltonian

abstract:
  Adiabatic quantum computation is based on the adiabatic evolution of quantum
systems. We analyse a particular class of qauntum adiabatic evolutions where
either the initial or final Hamiltonian is a one-dimensional projector
Hamiltonian on the corresponding ground state. The minimum energy gap which
governs the time required for a successful evolution is shown to be
proportional to the overlap of the ground states of the initial and final
Hamiltonians. We show that such evolutions exhibit a rapid crossover as the
ground state changes abruptly near the transition point where the energy gap is
minimum. Furthermore, a faster evolution can be obtained by performing a
partial adiabatic evolution within a narrow interval around the transition
point. These results generalize and quantify earlier works.


title: A Spin-1 Top Quark Superpartner

abstract:
  We construct a supersymmetric model where the left-handed top and bottom
quarks are mainly the gauginos of a vector supermultiplet and hence their
superpartners are spin-1. The right-handed top quark is unified with the Higgs,
the top Yukawa arises from the gaugino coupling.


title:
Euler-Lagrange models with complex currents of three-phase electrical
  machines and observability issues

abstract:
  A new Lagrangian formulation with complex currents is developed and yields a
direct and simple method for modeling three-phase permanent-magnet and
induction machines. The Lagrangian is the sum a mechanical one and of a
magnetic one. This magnetic Lagrangian is expressed in terms of rotor angle,
complex stator and rotor currents. A complexification procedure widely used in
quantum electrodynamic is applied here in order to derive the Euler-Lagrange
equations with complex stator and rotor currents. Such complexification process
avoids the usual separation into real and imaginary parts and simplifies
notably the calculations. Via simple modifications of such magnetic Lagrangians
we derive new dynamical models describing permanent-magnet machines with both
saturation and saliency, and induction machines with both magnetic saturation
and space harmonics. For each model we also provide its Hamiltonian thus its
magnetic energy. This energy is also expressed with complex currents and can be
directly used in Lyapunov and/or passivity based control. Further, we briefly
investigate the observability of this class of Euler-Lagrange models, in the
so-called sensorless case when the measured output is the stator current and
the load torque is constant but unknown. For all the dynamical models obtained
via such variational principles, we prove that their linear tangent systems are
unobservable around a one-dimensional family of steady-states attached to the
same constant stator voltage and current. This negative result explains why
sensorless control of three-phase electrical machines around zero stator
frequency remains yet a difficult control problem.


title:
Energy determination of cosmic ray showers in surface arrays using
  signal inference at a single distance from the core

abstract:
  In most high energy cosmic ray surface arrays, the primary energy is
currently determined from the value of the lateral distribution function at a
fixed distance from the shower core, r0. The value of r0 is mainly related to
the geometry of the array and is, therefore, considered as fixed independently
of the shower energy or direction. We argue, however, that the dependence of r0
on energy and zenith angle is not negligible. Therefore, in the present work we
propose a new characteristic distance, which we call ropt, specifically
determined for each individual shower, with the objective of optimizing the
energy reconstruction. This parameter may not only improve the energy
determination, but also allow a more reliable reconstruction of the shape and
position of rapidly varying spectral features. We show that the use of a
specific ropt determined on a shower-to-shower basis, instead of using a fixed
characteristic value, is of particular benefit in dealing with the energy
reconstruction of events with saturated detectors, which are in general a large
fraction of all the events detected by an array as energy increases.
Furthermore, the ropt approach has the additional advantage of applying the
same unified treatment for all detected events, regardless of whether they have
saturated detectors or not.


title: Hopf-cyclic homology with contramodule coefficients

abstract:
  A new class of coefficients for the Hopf-cyclic homology of module algebras
and coalgebras is introduced. These coefficients, termed stable
anti-Yetter-Drinfeld contramodules, are both modules and contramodules of a
Hopf algebra that satisfy certain compatibility conditions.


title: Subdivisions and transgressive chains

abstract:
  Combinatorial transgressions are secondary invariants of a space admitting
triangulations. They arise from subdivisions and are analogous to transgressive
forms such as those arising in Chern-Weil theory. Unlike combinatorial
characteristic classes, combinatorial transgressions have not been previously
studied. First, this article characterizes transgressions that are
path-independent of subdivision sequence. The result is obtained by using a
cohomology on posets that is shown to be equivalent to higher derived functors
of the inverse (or projective) limit over the opposite poset. Second, a
canonical local formula is demonstrated for a particular combinatorial
transgression: namely, that relative the difference of Poincar\'{e} duals to
the Euler class.


title:
Nonexistence of Mutually Unbiased Bases for Hilbert spaces with
  non-power-of-a-prime dimensions

abstract: This paper has been withdrawn by Reinaldo O. Vianna.


title:
Constraints on First-Light Ionizing Sources from Optical Depth of the
  Cosmic Microwave Background

abstract:
  We examine the constraints on high-redshift star formation, ultraviolet and
X-ray pre-ionization, and the epoch of reionization at redshift z_r, inferred
from the recent WMAP-5 measurement, tau_e = 0.084 +/- 0.016, of the electron
scattering optical depth of the cosmic microwave background (CMB). Half of this
scattering can be accounted for by the optical depth, tau_e = 0.04-0.05, of a
fully ionized intergalactic medium (IGM) at z < z_GP = 6-7, consistent with
Gunn-Peterson absorption in neutral hydrogen. The required additional optical
depth, Delta-tau_e = 0.03 +/- 0.02 at z > z_GP, constrains the ionizing
contributions of first light sources. WMAP-5 also measured a significant
increase in small-scale power, which lowers the required efficiency of star
formation and ionization from mini-halos. Early massive stars (UV radiation)
and black holes (X-rays) can produce a partially ionized IGM, adding to the
residual electrons left from incomplete recombination. Inaccuracies in
computing the ionization history, x_e(z), and degeneracies in cosmological
parameters (Omega_m, Omega_b, sigma_8, n_s) add systematic uncertainty to the
measurement and modeling of $\tau_e$. From the additional optical depth from
sources at z > z_GP, we limit the star-formation efficiency, the rate of
ionizing photon production for Pop III and Pop II stars, and the photon escape
fraction, using standard histories of baryon collapse, minihalo star formation,
and black-hole X-ray preionization.


title:
Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome
  antiferromagnet

abstract:
  We argue that the S=1/2 kagome antiferromagnet undergoes a quantum phase
transition when the Dzyaloshinskii-Moriya coupling is increased. For $D<D_c$
the system is in a moment-free phase and for $D>D_c$ the system develops
antiferromagnetic long-range order. The quantum critical point is found to be
$D_c \simeq 0.1J$ using exact diagonalizations and finite-size scaling. This
suggests that the kagome compound ZnCu$_3(OH)$_6$Cl$_3$ may be in a quantum
critical region controlled by this fixed point.


title: Yang-Mills Instantons and Dyons on Group Manifolds

abstract:
  We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a
compact semisimple Lie group, and introduce first-order BPS-type equations
which imply the full Yang-Mills equations. For gauge fields invariant under the
adjoint G-action these BPS equations reduce to first-order matrix equations, to
which we give instanton solutions. In the case of G=SU(2)=S^3, our matrix
equations are recast as Nahm equations, and a further algebraic reduction to
the Toda chain equations is presented and solved for the SU(3) example.
Finally, we change the metric on GxR to Minkowski and construct finite-energy
dyon-type Yang-Mills solutions. The special case of G=SU(2)xSU(2) may be used
in heterotic flux compactifications.


title: Convexity properties of the condition number

abstract:
  We define in the space of n by m matrices of rank n, n less or equal than m,
the condition Riemannian structure as follows: For a given matrix A the tangent
space of A is equipped with the Hermitian inner product obtained by multiplying
the usual Frobenius inner product by the inverse of the square of the smallest
singular value of A denoted sigma_n(A). When this smallest singular value has
multiplicity 1, the function A -> log (sigma_n(A)^(-2)) is a convex function
with respect to the condition Riemannian structure that is t -> log
(sigma_n(A(t))^(-2)) is convex, in the usual sense for any geodesic A(t). In a
more abstract setting, a function alpha defined on a Riemannian manifold
(M,<,>) is said to be self-convex when log alpha (gamma(t)) is convex for any
geodesic in (M,<,>). Necessary and sufficient conditions for self-convexity are
given when alpha is C^2. When alpha(x) = d(x,N)^(-2) where d(x,N) is the
distance from x to a C^2 submanifold N of R^j we prove that alpha is
self-convex when restricted to the largest open set of points x where there is
a unique closest point in N to x. We also show, using this more general notion,
that the square of the condition number ||A|||_F / sigma_n(A) is self-convex in
projective space and the solution variety.


title: Voltage Dependence of Spin Transfer Torque in Magnetic Tunnel Junctions

abstract:
  Theoretical investigations of spin transfer torque in magnetic tunnel
junctions using the tight-binding model in the framework of non-equilibrium
Green functions formalism are presented. We show that the behavior of the spin
transfer torque as a function of applied voltage can vary over a wide range
depending on the band parameters of the ferromagnetic electrodes and the
insulator that comprise the magnetic tunnel junction. The behavior of both the
parallel and perpendicular components of the spin torque is addressed. This
behavior is explained in terms of the spin and charge current dependence and on
the interplay between evanescent states in the insulator and the Fermi surfaces
of ferromagnetic electrodes comprising the junction. The origin of the
perpendicular (field-like) component of spin transfer torque at zero bias, i.e.
exchange coupling through the barrier between ferromagnetic electrodes is
discussed.


title: The Self-Organized de Sitter Universe

abstract:
  We propose a theory of quantum gravity which formulates the quantum theory as
a nonperturbative path integral, where each spacetime history appears with a
weight given by the exponentiated Einstein-Hilbert action of the corresponding
causal geometry. The path integral is diffeomorphism-invariant (only geometries
appear) and background-independent. The theory can be investigated by computer
simulations, which show that a de Sitter universe emerges on large scales. This
emergence is of an entropic, self-organizing nature, with the weight of the
Einstein-Hilbert action playing a minor role. Also the quantum fluctuations
around this de Sitter universe can be studied quantitatively and remain small
until one gets close to the Planck scale. The structures found to describe
Planck-scale gravity are reminiscent of certain aspects of condensed-matter
systems.


title: Metric Structures and Probabilistic Computation

abstract:
  Continuous first-order logic is used to apply model-theoretic analysis to
analytic structures (e.g. Hilbert spaces, Banach spaces, probability spaces,
etc.). Classical computable model theory is used to examine the algorithmic
structure of mathematical objects that can be described in classical
first-order logic. The present paper shows that probabilistic computation
(sometimes called randomized computation) can play an analogous role for
structures described in continuous first-order logic. The main result of this
paper is an effective completeness theorem, showing that every decidable
continuous first-order theory has a probabilistically decidable model. Later
sections give examples of the application of this framework to various classes
of structures, and to some problems of computational complexity theory.


title:
A Survey for NV Absorption at z~z_GRB in GRB Afterglow Spectra: Clues to
  Gas Near the Progenitor Star

abstract:
  We survey NV absorption in the afterglow spectra of long-duration gamma-ray
bursts (GRBs) with the intent to study highly ionized gas in the galaxies
hosting these events. We identify a high incidence (6/7) of spectra exhibiting
NV gas with z~z_GRB and the majority show large column densities NV > 10^14
cm^-2. With one exception, the observed line-profiles are kinematically `cold',
i.e. they are narrow and have small velocity offset (Dv < 20 km/s) from
absorption lines associated with neutral gas. In addition, the NV absorption
has similar velocity as the UV-pumped fine-structure lines indicating these
high ions are located within ~1kpc of the GRB afterglow. These characteristics
are unlike those for NV gas detected in the halo/disk of the Milky Way or along
sightlines through high z damped Lya systems but resemble the narrow absorption
line systems associated with quasars and some high z starbursts. We demonstrate
that GRB afterglows photoionize nitrogen to NV at r~10pc. This process can
produce NV absorption with characteristics resembling the majority of our
sample and and we argue it is the principal mechanism for NV along GRB
sightlines. Therefore, the observations provide a snapshot of the physical
conditions at this distance. In this scenario, the observations imply the
progenitor's stellar wind is confined to r<10pc which suggests the GRB
progenitors occur within dense (n > 10^3 cm^-3) environments, typical of
molecular clouds. The observations, therefore, primarily constrain the physical
conditions -- metallicity, density, velocity fields -- of the gas within the
(former) molecular cloud region surrounding the GRB.


title:
A Regularization of Burgers Equation using a Filtered Convective
  Velocity

abstract:
  This paper examines the properties of a regularization of Burgers equation in
one and multiple dimensions using a filtered convective velocity, which we have
dubbed as convectively filtered Burgers (CFB) equation. A physical motivation
behind the filtering technique is presented. An existence and uniqueness
theorem for multiple dimensions and a general class of filters is proven.
Multiple invariants of motion are found for the CFB equation and are compared
with those found in viscous and inviscid Burgers equation. Traveling wave
solutions are found for a general class of filters and are shown to converge to
weak solutions of inviscid Burgers equation with the correct wave speed.
Accurate numerical simulations are conducted in 1D and 2D cases where the shock
behavior, shock thickness, and kinetic energy decay are examined. Energy
spectrum are also examined and are shown to be related to the smoothness of the
solutions.


title: A Monte Carlo simulation of ion transport at finite temperatures

abstract:
  We have developed a Monte Carlo simulation for ion transport in hot
background gases, which is an alternative way of solving the corresponding
Boltzmann equation that determines the distribution function of ions. We
consider the limit of low ion densities when the distribution function of the
background gas remains unchanged due to collision with ions. A special
attention has been paid to properly treat the thermal motion of the host gas
particles and their influence on ions, which is very important at low electric
fields, when the mean ion energy is comparable to the thermal energy of the
host gas. We found the conditional probability distribution of gas velocities
that correspond to an ion of specific velocity which collides with a gas
particle. Also, we have derived exact analytical formulas for piecewise
calculation of the collision frequency integrals. We address the cases when the
background gas is monocomponent and when it is a mixture of different gases.
The developed techniques described here are required for Monte Carlo
simulations of ion transport and for hybrid models of non-equilibrium plasmas.
The range of energies where it is necessary to apply the technique has been
defined. The results we obtained are in excellent agreement with the existing
ones obtained by complementary methods. Having verified our algorithm, we were
able to produce calculations for Ar$^+$ ions in Ar and propose them as a new
benchmark for thermal effects. The developed method is widely applicable for
solving the Boltzmann equation that appears in many different contexts in
physics.


title: Black hole entropy from entanglement: A review

abstract:
  We review aspects of the thermodynamics of black holes and in particular take
into account the fact that the quantum entanglement between the degrees of
freedom of a scalar field, traced inside the event horizon, can be the origin
of black hole entropy. The main reason behind such a plausibility is that the
well-known Bekenstein-Hawking entropy-area proportionality -- the so-called
`area law' of black hole physics -- holds for entanglement entropy as well,
provided the scalar field is in its ground state, or in other minimum
uncertainty states, such as a generic coherent state or squeezed state.
However, when the field is either in an excited state or in a state which is a
superposition of ground and excited states, a power-law correction to the area
law is shown to exist. Such a correction term falls off with increasing area,
so that eventually the area law is recovered for large enough horizon area. On
ascertaining the location of the microscopic degrees of freedom that lead to
the entanglement entropy of black holes, it is found that although the degrees
of freedom close to the horizon contribute most to the total entropy, the
contributions from those that are far from the horizon are more significant for
excited/superposed states than for the ground state. Thus, the deviations from
the area law for excited/superposed states may, in a way, be attributed to the
far-away degrees of freedom. Finally, taking the scalar field (which is traced
over) to be massive, we explore the changes on the area law due to the mass.
Although most of our computations are done in flat space-time with a
hypothetical spherical region, considered to be the analogue of the horizon, we
show that our results hold as well in curved space-times representing static
asymptotically flat spherical black holes with single horizon.


title: Transforming carbon nanotubes by silylation: An ab initio study

abstract:
  We use ab initio density functional calculations to study the chemical
functionalization of single-wall carbon nanotubes and graphene monolayers by
silyl (SiH3) radicals and hydrogen. We find that silyl radicals form strong
covalent bonds with graphene and nanotube walls, causing local structural
relaxations that enhance the sp3 character of these graphitic nanostructures.
Silylation transforms all carbon nanotubes into semiconductors, independent of
their chirality. Calculated vibrational spectra suggest that specific frequency
shifts can be used as a signature of successful silylation.


title:
Signatures of Quantum Transport Through Two-Dimensional Structures With
  Correlated and Anti-Correlated Interfaces

abstract:
  Electronic transport through a 2D deca-nanometer length channel with
correlated and anti-correlated surfaces morphologies is studied using the
Keldysh non-equilibrium Green function technique. Due to the pseudo-periodicity
of these structures, the energy-resolved transmission possesses pseudo-bands
and pseudo-gaps. Channels with correlated surfaces exhibit wider pseudo-bands
than their anti-correlated counterparts. By surveying channels with various
combinations of material parameters, we found that a smaller transport mass
increases the channel transmittivity and energy bandwidth of the pseudo-bands.
A larger quantization mass yields a larger transmittivity in channels with
anti-correlated surfaces. For channels with correlated surfaces, the dependence
of transmittivity on quantization mass is complicated by odd-to-even mode
transitions. An enhanced threshold energy in the energy-resolved transmission
can also be observed in the presence of surface roughness. The computed
enhanced threshold energy was able to achieve agreement with the experimental
data for Si[110] and Si[100] devices.


title:
Comparing the efficacy of multimedia modules with traditional textbooks
  for learning introductory physics content

abstract:
  A clinical study was performed comparing the efficacy of multimedia learning
modules with traditional textbooks for the first few topics of a calculus based
introductory electricity and magnetism course. Students were randomly assigned
to three different groups experiencing different presentations of the material;
one group received the multimedia learning module presentations and the other
two received the presentations via written text. All students were then tested
on their learning immediately following the presentations as well as two weeks
later. The students receiving the multimedia learning modules performed
significantly better than the students experiencing the text-based
presentations on both tests.


title: Total curvature and isotopy of graphs in $R^3$

abstract:
  Knot theory is the study of isotopy classes of embeddings of the circle $S^1$
into a 3-manifold, specifically $R^3$. The F\'ary-Milnor Theorem says that any
curve in $R^3$ of total curvature less than $4\pi$ is unknotted. More
generally, a (finite) graph consists of a finite number of edges and vertices.
Given a topological type of graphs $\Gamma$, what limitations on the isotopy
class of $\Gamma$ are implied by a bound on total curvature? What does ``total
curvature" mean for a graph? We define a natural notion of net total curvature
of a graph $\Gamma$ in $R^3$, and prove that if $\Gamma$ is homeomorphic to the
$\theta$-graph, then the net total curvature of $\Gamma$ \geq 3\pi$; and if it
is $< 4\pi$, then $\Gamma$ is isotopic in $R^3$ to a planar $\theta$-graph.
Further, the net total curvature $= 3\pi$ only when $\Gamma$ is a convex plane
curve plus a chord. We begin our discussion with piecewise smooth graphs, and
extend all these results to continuous graphs in the final section. In
particular, we show that continuous graphs of finite total curvature are
isotopic to polygonal graphs.


title: Bulk viscosity of strongly coupled plasmas with holographic duals

abstract:
  We explain a method for computing the bulk viscosity of strongly coupled
thermal plasmas dual to supergravity backgrounds supported by one scalar field.
Whereas earlier investigations required the computation of the leading
dissipative term in the dispersion relation for sound waves, our method
requires only the leading frequency dependence of an appropriate Green's
function in the low-frequency limit. With a scalar potential chosen to mimic
the equation of state of QCD, we observe a slight violation of the lower bound
on the ratio of the bulk and shear viscosities conjectured in arXiv:0708.3459.


title:
Competition between Kondo and RKKY exchange couplings in Pu{1-x}Am{x}
  alloys

abstract:
  To clarify the role of the Kondo effect in screening local magnetic moments
of Plutonium 5f--electrons as well as its competition to the RKKY interactions
we use a combination of density functional theory with static Hartree Fock and
dynamic Hubbard 1 approximations to calculate the strength of both the Kondo
exchange, J_K, and of the RKKY exchange, J_RKKY, couplings for Pu{1-x}Am{x}
system as a function of x. We find that J_K increases despite the atomic volume
gets larger with the Am doping due to unexpected enhancement of hybridization
between f and conduction electrons in the vicinity of the Fermi level. At the
same time, the RKKY exchange is shown to reduce smoothly with increasing x. Our
results imply that the Kondo effect should be robust against the increase in
interatomic spacing of this alloy.


title: Kummer structures

abstract:
  Suppose we take an abelian group G and quotient it by the action of negation.
What structure does the quotient K inherit from the group structure of G? We
describe this structure (which we call the Kummer of G) in terms of a map from
the set of unordered pairs of elements of K to itself. We propose some axioms
that hold for such structures, and show that every structure satisfying those
axioms either is the Kummer of a unique group, or comes from one other
construction, the quotient of a 2-torsion group by an involution.


title:
Longitudinal magnetic field increases critical current in
  superconducting strip

abstract:
  The critical state of the vortex lattice in a thin strip is considered for
the case when first a perpendicular magnetic field is applied, then a
longitudinal field, and then again the perpendicular field is increased. This
longitudinal field can strongly enhance the critical currents in the strip
since the vortices are inclined and the currents flow in the strip plane.


title:
Spectral Signatures of Photon-Particle Oscillations from Celestial
  Objects

abstract:
  We give detailed predictions for the spectral signatures arising from
photon-particle oscillations in astrophysical objects. The calculations include
quantum electrodynamic effects as well as those due to active relativistic
plasma. We show that, by studying the spectra of compact sources, it may be
possible to directly detect (pseudo-)scalar particles, such as the axion, with
much greater sensitivity, by roughly three orders of magnitude, than is
currently achievable by other methods. In particular, if such particles exist
with masses m_a<0.01[eV] and coupling constant to the electromagnetic field,
g>1e-13[1/GeV], then their oscillation signatures are likely to be lurking in
the spectra of magnetars, pulsars, and quasars.


title: HI clouds in the proximity of M33

abstract:
  Neutral hydrogen clouds are found in the Milky Way and Andromeda halo both as
large complexes and smaller isolated clouds. Here we present a search for Hi
clouds in the halo of M33, the third spiral galaxy of the Local Group. We have
used two complementary data sets: a 3^o x 3^o map of the area provided by the
Arecibo Legacy Fast ALFA (ALFALFA) survey and deeper pointed observations
carried out with the Arecibo telescope in two fields that permit sampling of
the north eastern and south-western edges of the HI disc. The total amount of
Hi around M33 detected by our survey is $\sim 10^7$ M$_{\odot}$. At least 50%
of this mass is made of HI clouds that are related both in space and velocity
to the galaxy. We discuss several scenarios for the origin of these clouds
focusing on the two most interesting ones: $(a)$ dark-matter dominated gaseous
satellites, $(b)$ debris from filaments flowing into M33 from the intergalactic
medium or generated by a previous interaction with M31. Both scenarios seem to
fit with the observed cloud properties. Some structures are found at anomalous
velocities, particularly an extended HI complex previously detected by Thilker
et al. (2002). Even though the ALFALFA observations seem to indicate that this
cloud is possibly connected to M33 by a faint gas bridge, we cannot firmly
establish its extragalactic nature or its relation to M33. Taking into account
that the clouds associated with M33 are likely to be highly ionised by the
extragalactic UV radiation, we predict that the total gas mass associated with
them is > 5 x 10^7 M$_{\odot}$. If the gas is steadily falling towards the M33
disc it can provide the fuel needed to sustain a current star formation rate of
0.5 M$_{\odot}$ yr$^{-1}$.


title: Muon Spin Rotation and the Vortex Lattice in Superconductors

abstract:
  The magnetic field probability P(B) is calculated from the Ginzburg-Landau
theory for various lattices of vortex lines in type-II superconductors: Ideal
triangular lattices, lattices with various shear strains and with a super
lattice of vacancies, and lattices of short vortices in films whose magnetic
field ''mushrooms'' near the surface.


title:
Highly-reduced Fine-structure splitting in InAs/InP quantum dots
  offering efficient on-demand 1.55 $\mu$m entangled photon emitter

abstract:
  To generate entangled photon pairs via quantum dots (QDs), the exciton fine
structure splitting (FSS) must be comparable to the exciton homogeneous line
width. Yet in the (In,Ga)As/GaAs QD, the intrinsic FSS is about a few tens
$\mu$eV. To achieve photon entanglement, it is necessary to Cherry-pick a
sample with extremely small FSS from a large number of samples, or to apply
strong in-plane magnetic field. Using theoretical modeling of the fundamental
causes of FSS in QDs, we predict that the intrinsic FSS of InAs/InP QDs is an
order of magnitude smaller than that of InAs/GaAs dots, and better yet, their
excitonic gap matches the 1.55 $\mu$m fiber optic wavelength, therefore offer
efficient on-demand entangled photon emitters for long distance quantum
communication.


title:
Disintegration of Magnetic Flux in Decaying Sunspots as Observed with
  the Hinode SOT

abstract:
  Continuous observations of sunspot penumbrae with the Solar Optical Telescope
aboard \textit{Hinode} clearly show that the outer boundary of the penumbra
fluctuates around its averaged position. The penumbral outer boundary moves
inward when granules appear in the outer penumbra. We discover that such
granules appear one after another while moving magnetic features (MMFs) are
separating from the penumbral ``spines'' (penumbral features that have stronger
and more vertical fields than those of their surroundings). These granules that
appear in the outer penumbra often merge with bright features inside the
penumbra that move with the spines as they elongate toward the moat region.
This suggests that convective motions around the penumbral outer boundary are
related to the disintegration of magnetic flux in the sunspot. We also find
that dark penumbral filaments frequently elongate into the moat region in the
vicinity of MMFs that detach from penumbral spines. Such elongating dark
penumbral filaments correspond to nearly horizontal fields extending from the
penumbra. Pairs of MMFs with positive and negative polarities are sometimes
observed along the elongating dark penumbral filaments. This strongly supports
the notion that such elongating dark penumbral filaments have magnetic fields
with a ``sea serpent''-like structure. Evershed flows, which are associated
with the penumbral horizontal fields, may be related to the detachment of the
MMFs from the penumbral spines, as well as to the formation of the MMFs along
the dark penumbral filaments that elongate into the moat region.


title:
Optical Frequency Combs Generated by Four-Wave Mixing in Optical Fibers
  for Astrophysical Spectrometer Calibration and Metrology

abstract:
  Optical frequency combs generated by multiple four-wave mixing of two
stabilized single-frequency lasers in optical fibers are proposed for use as
high precision frequency markers, calibration of astrophysical spectrometers
and metrology. Use of highly nonlinear and photonic crystal fibers with very
short lengths and small group velocity dispersion, combined with energy and
momentum conservation required by the parametric generation, assures negligible
phase mismatch between comb frequencies. In contrast to combs from mode-locked
lasers or microcavities, the absence of a resonator allows large tuning of the
frequency spacing from tens of gigahertz to beyond teraHertz.


title:
Asteroseismic study of solar-like stars: A method of estimating stellar
  age

abstract:
  Asteroseismology, as a tool to use the indirect information contained in
stellar oscillations to probe the stellar interiors, is an active field of
research presently. Stellar age, as a fundamental property of star apart from
its mass, is most difficult to estimate. In addition, the estimating of stellar
age can provide the chance to study the time evolution of astronomical
phenomena. In our poster, we summarize our previous work and further present a
method to determine age of low-mass main-sequence star.


title: Prompt neutrino fluxes from atmospheric charm

abstract:
  We calculate the prompt neutrino flux from atmospheric charm production by
cosmic rays, using the dipole picture in a perturbative QCD framework, which
incorporates the parton saturation effects present at high energies. We compare
our results with the next-to-leading order perturbative QCD result and find
that saturation effects are large for neutrino energies above 10^6 GeV, leading
to a substantial suppression of the prompt neutrino flux. We comment on the
range of prompt neutrino fluxes due to theoretical uncertainties.


title:
Odd-frequency pairing in a binary mixture of bosonic and fermionic cold
  atoms

abstract:
  We study fermionic superfluidity in a boson-single-species-fermion cold atom
mixture. We argue that apart from the standard p-wave fermion pairing mediated
by the phonon field of the boson gas, the system also exhibits s-wave pairing
with the anomalous correlator being an odd function of time or frequency. We
show that such a superfluid phase can have a much higher transition temperature
than the p-wave and may exist for sufficiently strong couplings between
fermions and bosons. These conditions for odd-frequency pairing are favorable
close to the value of the coupling at which the mixture phase-separates. We
evaluate the critical temperatures for this system and discuss the experimental
realization of this superfluid in ultracold atomic gases.


title: Spin-Orbit Coupling in an f-electron Tight-Binding Model

abstract:
  We extend a tight-binding method to include the effects of spin-orbit
coupling, and apply it to the study of the electronic properties of the
actinide elements Th, U, and Pu. These tight-binding parameters are determined
for the fcc crystal structure using the equivalent equilibrium volumes. In
terms of the single particle energies and the electronic density of states, the
overall quality of the tight-binding representation is excellent and of the
same quality as without spin-orbit coupling. The values of the optimized
tight-binding spin-orbit coupling parameters are comparable to those determined
from purely atomic calculations.


title:
The finite precision computation and the nonconvergence of difference
  scheme

abstract:
  The authors show that the round-off error can break the consistency which is
the premise of using the difference equation to replace the original
differential equations. We therefore proposed a theoretical approach to
investigate this effect, and found that the difference scheme can not guarantee
the convergence of the actual compute result to the analytical one. A
conservation scheme experiment is applied to solve a simple linear differential
equation satisfing the LAX equivalence theorem in a finite precision computer.
The result of this experiment is not convergent when time step-size decreases
trend to zero, which proves that even the stable scheme can't guarantee the
numerical convergence in finite precision computer. Further the relative
convergence concept is introduced.


title: A gate-defined silicon quantum dot molecule

abstract:
  We report electron transport measurements of a silicon double dot formed in
multi-gated metal-oxide-semiconductor structures with a 15-nm-thick
silicon-on-insulator layer. Tunable tunnel coupling enables us to observe an
excitation spectrum in weakly coupled dots and an energy level anticrossing in
strongly coupled ones. Such a quantum dot molecule with both charge and energy
quantization provides the essential prerequisite for future implementation of
silicon-based quantum computations.


title:
Universality and Anomalous Mean-Field Breakdown of Symmetry-Breaking
  Transitions in A Coupled Two-Component Condensate

abstract:
  We study both mean-field and full quantum dynamics of symmetry-breaking
transitions (SBTs) in a coupled two-component Bose-Einstein condensate. By
controlling s-wave scattering lengths and coupling strength, it is possible to
stimulate SBTs between normal and spontaneously polarized ground states. In
static transitions, the probability maxima of full quantum ground states
correspond to the mean-field ground states. In dynamical transitions, due to
the vanishing of excitation gaps, the mean-field dynamics shows universal
scalings obeying Kibble-Zurek mechanism. Both mean-field and full quantum
defect modes appear as damped oscillations, but they appear at different
critical points and undergo different oscillation regimes. The anomalous
breakdown of mean-field dynamics induced by SBTs depends on the approaching
direction.


title: Some Enumerations for Parking Functions

abstract:
  In this paper, let $\mathcal{P}_{n,n+k;\leq n+k}$ (resp. $\mathcal{P}_{n;\leq
s}$) denote the set of parking functions $\alpha=(a_1,...,a_n)$ of length $n$
with $n+k$ (respe. $n$)parking spaces satisfying $1\leq a_i\leq n+k$ (resp.
$1\leq a_i\leq s$) for all $i$. Let $p_{n,n+k;\leq
n+k}=|\mathcal{P}_{n,n+k;\leq n+k}|$ and $p_{n;\leq s}=|\mathcal{P}_{n;\leq
s}|$. Let $\mathcal{P}_{n;\leq s}^l$ denote the set of parking functions
$\alpha=(a_1,...,a_n)\in\mathcal{P}_{n;\leq s}$ such that $a_1=l$ and
$p_{n;\leq s}^l=|\mathcal{P}_{n;\leq s}^l|$. We derive some formulas and
recurrence relations for the sequences $p_{n,n+k;\leq n+k}$, $p_{n;\leq s}$ and
$p_{n;\leq s}^l$ and give the generating functions for these sequences. We also
study the asymptotic behavior for these sequences.


title:
The Conley conjecture for Hamiltonian systems on the cotangent bundle
  and its analogue for Lagrangian systems

abstract:
  In this paper, the Conley conjecture, which were recently proved by Franks
and Handel \cite{FrHa} (for surfaces of positive genus), Hingston \cite{Hi}
(for tori) and Ginzburg \cite{Gi} (for closed symplectically aspherical
manifolds), is proved for $C^1$-Hamiltonian systems on the cotangent bundle of
a $C^3$-smooth compact manifold $M$ without boundary, of a time 1-periodic
$C^2$-smooth Hamiltonian $H:\R\times T^\ast M\to\R$ which is strongly convex
and has quadratic growth on the fibers. Namely, we show that such a Hamiltonian
system has an infinite sequence of contractible integral periodic solutions
such that any one of them cannot be obtained from others by iterations. If $H$
also satisfies $H(-t,q, -p)=H(t,q, p)$ for any $(t,q, p)\in\R\times T^\ast M$,
it is shown that the time-one map of the Hamiltonian system (if exists) has
infinitely many periodic points siting in the zero section of $T^\ast M$. If
$M$ is $C^5$-smooth and $\dim M>1$, $H$ is of $C^4$ class and independent of
time $t$, then for any $\tau>0$ the corresponding system has an infinite
sequence of contractible periodic solutions of periods of integral multiple of
$\tau$ such that any one of them cannot be obtained from others by iterations
or rotations. These results are obtained by proving similar results for the
Lagrangian system of the Fenchel transform of $H$, $L:\R\times TM\to\R$, which
is proved to be strongly convex and to have quadratic growth in the velocities
yet.


title:
Topological properties of spin-triplet superconductors and the Fermi
  surface topology in the normal state

abstract:
  We report intimate relations between topological properties of full gapped
spin-triplet superconductors with time-reversal invariance and the Fermi
surface topology in the normal states. An efficient method to calculate the Z2
invariants and the winding number for the spin-triplet superconductors is
developed, and connections between these topological invariants and the Fermi
surface structures in the normal states are pointed out. We also obtain a
correspondence between the Fermi surface topology and gapless surface states in
the superconducting states. The correspondence is inherent to spin-triplet
superconductivity.


title:
Stochastic Resonance in Time-delayed Bistable Systems Driven by Weak
  Periodic Signal

abstract:
  We study theoretically a bistable systems with time-delayed feedback driven
by weak periodic force. The effective potential function and the steady-state
probability density are derived. The delay time and the strength of its
feedback can change the shapes of the potential wells. In the adiabatic
approximation, the signal-to-noise ratio (SNR) of the system with a weak
periodic force is obtained. The time-delayed feedback modulates the magnitude
of SNR by changing the shape of the potential and the effective strength of
signal. The maximum of SNR decreases with increasing the feedback intensity
$\epsilon$. When $\epsilon$ is negative (or positive), the time delay can
suppress (or promote) the stochastic resonance phenomenon.


title: A Class of Anisotropic Five-Dimensional Solutions for the Early Universe

abstract:
  We solve the Ricci-flat equations of extended general relativity to obtain an
interesting class of cosmological models. The solutions are analogous to the 4D
ones of Bianchi type-I of Kasner type and have significant implications for
astrophysics.


title: The Role of Solar Neutrinos in the Jupiter

abstract:
  Judging from the fact that the planet Jupiter is bigger in size than the
Earth by 10^3 while is smaller than the Sun by 10^3 and that the average
distance of the Jupiter from the Sun is 5.203 a.u., the solar neutrinos, when
encounter the Jupiter, may have some accumulating effects bigger than on the
Earth. We begin by estimating how much energy/power carried by solar neutrinos
get transferred by this unique process, to confirm that solar neutrinos,
despite of their feeble neutral weak current interactions, might deposit enough
energy in the Jupiter. We also speculate on the other remarkable effects.


title: Subequivalence Relations and Positive-Definite Functions

abstract:
  We study a positive-definite function associated to a measure-preserving
equivalence relation on a standard probability space and use it to measure
quantitatively the proximity of subequivalence relations. This is combined with
a recent co-inducing construction of Epstein to produce new kinds of mixing
actions of an arbitrary infinite discrete group and it is also used to show
that orbit equivalence of free, measure preserving, mixing actions of
non-amenable groups is unclassifiable in a strong sense. Finally, in the case
of property (T) groups we discuss connections with invariant percolation on
Cayley graphs and the calculation of costs.


title:
PSR J1410-6132: A young, energetic pulsar associated with EGRET source
  3EG J1410-6147

abstract:
  We present the discovery of PSR J1410-6132, a 50-ms pulsar found during a
high-frequency survey of the Galactic plane, using a 7-beam 6.3-GHz receiver on
the 64-m Parkes radio telescope. The pulsar lies within the error box of the
unidentified EGRET source 3EG J1410-6147, has a characteristic age of 26 kyr
and a spin-down energy of 10^37 erg s^-1. It has a very high dispersion measure
of 960+/-10 cm^-3 pc and the largest rotation measure of any pulsar, RM=+2400
+/- 30 rad m^-2. The pulsar is very scatter-broadened at frequencies of 1.4 GHz
and below, making pulsed emission almost impossible to detect. Assuming a
distance of 15 kpc, the pulsar's spin-down energy and a gamma-ray efficiency
factor of ~10 per cent is sufficient to power the gamma-ray source. We
therefore believe we have identified the nature of 3EG J1410-6147. This new
discovery suggests that deep targeted high-frequency surveys of inner-galaxy
EGRET sources could uncover further young, energetic pulsars.


title:
A Theoretical Approach for Computing Magnetic Anisotropy in Single
  Molecule Magnets

abstract:
  We present a theoretical approach to calculate the molecular magnetic
anisotropy parameters, $D_M$ and $E_M$ for single molecule magnets in any
eigenstate of the exchange Hamiltonian, treating the anisotropy Hamiltonian as
a perturbation. Neglecting inter-site dipolar interactions, we calculate
molecular magnetic anisotropy in a given total spin state from the known
single-ion anisotropies of the transition metal centers. The method is applied
to $Mn_{12}Ac$ and $Fe_8$ in their ground and first few excited eigenstates, as
an illustration. We have also studied the effect of orientation of local
anisotropies on the molecular anisotropy in various eigenstates of the exchange
Hamiltonian. We find that, in case of $Mn_{12}Ac$, the molecular anisotropy
depends strongly on the orientation of the local anisotropies and the spin of
the state. The $D_M$ value of $Mn_{12}Ac$ is almost independent of the
orientation of the local anisotropy of the core $Mn(IV)$ ions. In the case of
$Fe_8$, the dependence of molecular anisotropy on the spin of the state in
question is weaker.


title: Enumerations of Permutations by Circular Descent Sets

abstract:
  The circular descent of a permutation $\sigma$ is a set $\{\sigma(i)\mid
\sigma(i)>\sigma(i+1)\}$. In this paper, we focus on the enumerations of
permutations by the circular descent set. Let $cdes_n(S)$ be the number of
permutations of length $n$ which have the circular descent set $S$. We derive
the explicit formula for $cdes_n(S)$. We describe a class of generating binary
trees $T_k $ with weights. We find that the number of permutations in the set
$CDES_n(S)$ corresponds to the weights of $T_k$. As a application of the main
results in this paper, we also give the enumeration of permutation tableaux
according to their shape.


title: Circular Peaks and Hilbert Series

abstract:
  The circular peak set of a permutation $\sigma$ is the set $\{\sigma(i)\mid
\sigma(i-1)<\sigma(i)>\sigma(i+1)\}$. Let $\mathcal{P}_n$ be the set of all the
subset $S\subseteq [n]$ such that there exists a permutation $\sigma$ which has
the circular set $S$. We can make the set $\mathcal{P}_n$ into a poset
$\mathscr{P}_n$ by defining $S\preceq T$ if $S\subseteq T$ as sets. In this
paper, we prove that the poset $\mathscr{P}_n$ is a simplicial complex on the
vertex set $[3,n]$. We study the $f$-vector, the $f$-polynomial, the reduced
Euler characteristic, the M$\ddot{o}$bius function, the $h$-vector and the
$h$-polynomial of $\mathscr{P}_n$. We also derive the zeta polynomial of
$\mathscr{P}_n$ and give the formula for the number of the chains in
$\mathscr{P}_n$. By the poset $\mathscr{P}_n$, we define two algebras
$\mathcal{A}_{\mathscr{P}_n}$ and $\mathcal{B}_{\mathscr{P}_n}$. We consider
the Hilbert polynomials and the Hilbert series of the algebra
$\mathcal{A}_{\mathscr{P}_n}$ and $\mathcal{B}_{\mathscr{P}_n}$.


title: Enumerations for Permutations by Circular Peak Sets

abstract:
  The circular peak set of a permutation $\sigma$ is the set $\{\sigma(i)\mid
\sigma(i-1)<\sigma(i)>\sigma(i+1)\}$. In this paper, we focus on the
enumeration problems for permutations by circular peak sets. Let $cp_n(S)$
denote the number of the permutations of order $n$ which have the circular peak
set $S$. For the case with $|S|=0,1,2$, we derive the explicit formulas for
$cp_n(S)$. We also obtain some recurrence relations for the sequence $cp_n(S)$
and give the formula for $cp_n(S)$ in the general case.


title: Ballistic Hot Electron Transport in Graphene

abstract:
  We theoretically study the inelastic scattering rate and the carrier mean
free path for energetic hot electrons in graphene, including both
electron-electron and electron-phonon interactions. Taking account of optical
phonon emission and electron-electron scattering, we find that the inelastic
scattering time $\tau \sim 10^{-2}-10^{-1} \mathrm{ps}$ and the mean free path
$l \sim 10-10^2 \mathrm{nm}$ for electron densities $n = 10^{12}-10^{13}
\mathrm{cm}^{-2}$. In particular, we find that the mean free path exhibits a
finite jump at the phonon energy $200 \mathrm{meV}$ due to electron-phonon
interaction. Our results are directly applicable to device structures where
ballistic transport is relevant with inelastic scattering dominating over
elastic scattering.


title: Diffusion determines the manifold

abstract:
  We prove under a weak smoothness condition that two Riemannian manifold are
isomorphic if and only there exists an order isomorphism which intertwines with
the Dirichlet type heat semigroups on the manifolds.


title: Site symmetry and crystal symmetry: a spherical tensor analysis

abstract:
  The relation between the properties of a specific crystallographic site and
the properties of the full crystal is discussed by using spherical tensors. The
concept of spherical tensors is introduced and the way it transforms under the
symmetry operations of the site and from site to site is described in detail.
The law of spherical tensor coupling is given and illustrated with the example
of the electric dipole and quadrupole transitions in x-ray absorption
spectroscopy. The main application of the formalism is the reduction of
computation time in the calculation of the properties of crystals by band
structure methods. The general approach is illustrated by the examples of
substitutional chromium in spinel and substitutional vanadium in garnet.


title: Degree estimate for commutators

abstract:
  Let K<X> be a free associative algebra over a field K of characteristic 0 and
let each of the noncommuting polynomials f,g generate its centralizer in K<X>.
Assume that the leading homogeneous components of f and g are algebraically
dependent with degrees which do not divide each other. We give a counterexample
to the recent conjecture of Jie-Tai Yu that deg([f,g])=deg(fg-gf) >
min{deg(f),deg(g)}. Our example satisfies deg(g)/2 < deg([f,g]) < deg(g) <
deg(f) and deg([f,g]) can be made as close to deg(g)/2 as we want. We obtain
also a counterexample to another related conjecture of Makar-Limanov and
Jie-Tai Yu stated in terms of Malcev - Neumann formal power series. These
counterexamples are found using the description of the free algebra K<X>
considered as a bimodule of K[u] where u is a monomial which is not a power of
another monomial and then solving the equation [u^m,s]=[u^n,r] with unknowns
r,s in K<X>.


title:
Generalized parking functions, descent numbers, and chain polytopes of
  ribbon posets

abstract:
  We consider the inversion enumerator I_n(q), which counts labeled trees or,
equivalently, parking functions. This polynomial has a natural extension to
generalized parking functions. Substituting q = -1 into this generalized
polynomial produces the number of permutations with a certain descent set. In
the classical case, this result implies the formula I_n(-1) = E_n, the number
of alternating permutations. We give a combinatorial proof of these formulas
based on the involution principle. We also give a geometric interpretation of
these identities in terms of volumes of generalized chain polytopes of ribbon
posets. The volume of such a polytope is given by a sum over generalized
parking functions, which is similar to an expression for the volume of the
parking function polytope of Pitman and Stanley.


title:
The parabolic Sturmian-function basis representation of the
  six-dimensional Coulomb Green's function

abstract:
  The square integrable basis set representation of the resolvent of the
asymptotic three-body Coulomb wave operator in parabolic coordinates is
obtained. The resulting six-dimensional Green's function matrix is expressed as
a convolution integral over separation constants.


title:
Conditions for existence and smoothness of the distribution density for
  an Ornstein-Uhlenbeck process with Levy noise

abstract:
  Conditions are given, sufficient for the distribution of an
Ornstein-Uhlenbeck process with L\'evy noise to be absolutely continuous or to
possess a smooth density. For the processes with non-degenerate drift
coefficient, these conditions are a necessary ones. A multidimensional analogue
for the non-degeneracy condition on the drift coefficient is introduced.


title: Spacetime foam

abstract:
  Spacetime foam is analyzed within the simplistic model of a set of scalar
fields on a flat background. We suggest the formula for the path integral which
allows to account for the all possible topologies of spacetime. We show that
the proper path integral defines a cutoff for the field theory. The form of the
cutoff is fixed by the field theory itself and has no free additional
parameters. New features of the Feynman diagram technic are outlined and
possible applications in quantum gravity are discussed.


title: The Cauchy problem of the Ward equation with mixed scattering data

abstract:
  We solve the Cauchy problem of the Ward equation with both continuous and
discrete scattering data.


title: Complete account of randomness in the EPR-Bohm-Bell experiment

abstract:
  We show that paradoxical consequences of violations of Bell's inequality are
induced by the use of an unsuitable probabilistic description for the
EPR-Bohm-Bell experiment. The conventional description (due to Bell) is based
on a combination of statistical data collected for different settings of
polarization beam splitters (PBSs). In fact, such data consists of some
conditional probabilities which only partially define a probability space.
Ignoring this conditioning leads to apparent contradictions in the classical
probabilistic model (due to Kolmogorov). We show how to make a completely
consistent probabilistic model by taking into account the probabilities of
selecting the settings of the PBSs. Our model matches both the experimental
data and is consistent with classical probability theory.


title: Quenching of light hadrons at RHIC in a collisional energy loss scenario

abstract:
  We evaluate the nuclear suppression factor, $R_{AA}(p_T)$ for light hadrons
by taking into account the collisional energy loss. We show that in the
measured $p_T$ domain of RHIC the elastic process is the dominant mechanism for
the partonic energy loss.


title:
Measuring initial temperature through photon to dilepton ratio in heavy
  ion collision

abstract:
  Theoretical calculation of transverse momentum($p_T$) distribution of thermal
photons and dileptons originating from ultra-relativistic heavy ion collisions
suffer from several uncertainties since the evaluation of these spectra needs
various inputs which are not yet known unambiguously. In the present work the
ratio of the $p_T$ spectra of thermal photons to lepton pairs has been
evaluated and it is shown that the ratio is insensitive to some of these
parameters.


title: Stability of the LCD Model

abstract:
  In this paper, first-passage probability of Markov chains is used to get a
strict proof of the existence of degree distribution of the LCD model presented
by Bollobas (Random Structures and Algorithms 18(2001)). Also, a precise
expression of degree distribution is presented.


title: Anapedesis: Implications and Applications of Bio-Structural Robustness

abstract:
  Here we develop an approach to bio-structural robustness integrated with
structure-function relationship in a unified conceptual and methodological
framework, and envision its study using adequate computational and experimental
methods. To distinguish this structural robustness from the abstract
organizational robustness of systems, we call it anapedesis, and define it as
the scale-independent property of biological objects, from biomolecules to
organisms, to deform and recover while minimizing and/or repairing the damage
produced by stretch. We propose to study the consequences of deformation of
biological objects closer to their structural and/or functional failure than
previously considered relevant. We show that structural robustness is present
as a basic principle in many facets of biomedicine: many pathological
conditions may derive from the failure of molecules, cells and their
higher-order assemblies to maintain robustness against deformation.
Furthermore, structural robustness could have been the key selective criterion
during pre-biotic evolution and afterwards, and its universality can be
demonstrated by modeling using genetic algorithms. Thus, the specific
investigation of bio-structural robustness as anapedesis could help the solving
of fundamental problems of biology and medicine.


title: On Perfect Completeness for QMA

abstract:
  Whether the class QMA (Quantum Merlin Arthur) is equal to QMA1, or QMA with
one-sided error, has been an open problem for years. This note helps to explain
why the problem is difficult, by using ideas from real analysis to give a
"quantum oracle" relative to which they are different. As a byproduct, we find
that there are facts about quantum complexity classes that are classically
relativizing but not quantumly relativizing, among them such "trivial"
containments as BQP in ZQEXP.


title:
Higher order corrections to heavy flavour production in deep inelastic
  scattering

abstract:
  In the asymptotic limit $Q^2 \gg m^2$, the non-power corrections to the heavy
flavour Wilson coefficients in deep--inelastic scattering are given in terms of
massless Wilson coeffcients and massive operator matrix elements. We start
extending the existing NLO calculation for these operator matrix elements by
calculating the O($\epsilon$) terms of the two--loop expressions and having
first investigations into the three--loop diagrams needed to O($\alpha_s^3$).


title: Modular synchronization in complex networks with a gauge Kuramoto model

abstract:
  We modify the Kuramoto model for synchronization on complex networks by
introducing a gauge term that depends on the edge betweenness centrality (BC).
The gauge term introduces additional phase difference between two vertices from
0 to $\pi$ as the BC on the edge between them increases from the minimum to the
maximum in the network. When the network has a modular structure, the model
generates the phase synchronization within each module, however, not over the
entire system. Based on this feature, we can distinguish modules in complex
networks, with relatively little computational time of $\mathcal{O}(NL)$, where
$N$ and $L$ are the number of vertices and edges in the system, respectively.
We also examine the synchronization of the modified Kuramoto model and compare
it with that of the original Kuramoto model in several complex networks.


title:
Occupation times of random walks in confined geometries: From random
  trap model to diffusion limited reactions

abstract:
  We consider a random walk in confined geometry, starting from a site and
eventually reaching a target site. We calculate analytically the distribution
of the occupation time on a third site, before reaching the target site. The
obtained distribution is exact, and completely explicit in the case or
parallepipedic confining domains. We discuss implications of these results in
two different fields: The mean first passage time for the random trap model is
computed in dimensions greater than 1, and is shown to display a non-trivial
dependence with the source and target positions ; The probability of reaction
with a given imperfect center before being trapped by another one is also
explicitly calculated, revealing a complex dependence both in geometrical and
chemical parameters.


title: Ultra High Energy Cosmic Rays from decays of Holeums in Galactic Halos

abstract:
  Stable, quantized gravitational bound states of primordial black holes called
Holeums could have been produced in the early universe and could be a component
of the Super Heavy Dark Matter (SHDM) present in galactic halos. We show that
Holeums of masses of the order of 10**13 to 10**14 GeV and above are stable
enough to survive in the present-day universe. We identify such Holeums as
promising candidates for the SHDM "X-particle" and show that the decay of such
Holeums by pressure ionization can give rise to cosmic rays of all observed
energies, including Ultra High Energy Cosmic Rays (UHECR). The absence of the
GZK cut-off is explained by the galactic halo origin of the UHECR. We predict
that the cosmic rays are a manifestation of the end-stage Hawking radiation
burst of the primordial black holes (PBH) liberated by the ionization of
Holeums. Antimatter detected in cosmic rays could be a signature of their
Holeum origin.


title: Fermion localization in generalised Randall Sundrum model

abstract:
  A generalized two-brane Randall-Sundrum warped braneworld model admits of
solutions of the warp factor for both positive or negative cosmological
constant on the visible 3-brane which can resolve the naturalness problem in
connection with the fine tuning of Higgs mass in the standard model of
elementary particles. To explore the location of the standard model fermions in
such a generalized warped model, we, in this work, determine the dependence of
the localization profile of a bulk fermion on the brane cosmological constant
brane tension and the bulk fermion mass. Our results reveal that for a positive
and small value of the induced cosmological constant a bulk fermion is
localized close to the brane. On the other hand for a visible brane with
negative cosmological constant and positive tension, the fermions are localized
inside the bulk leading to phenomenologically interesting possibilities.


title: Magnetic Anomalies in a New Manganocuprate Gd3Ba2Mn2Cu2O12

abstract:
  The manganocuprate compound Gd3Ba2Mn2Cu2O12 (Gd-3222) has been synthesized by
conventional solid state reaction method and its magnetic behavior has been
studied by dc and ac magnetization (M) and heat capacity (C) measurements as a
function of temperature (T). This compound crystallizes in a tetragonal
structure (space group I4/mmm). We find that this compound exhibits three
magnetic transitions, around 2.5, 4.8 and 9 K, as inferred from dc and ac
magnetic susceptibility (chi) data. However, no evidence for a well-defined
lambda-anomaly is found in C(T) above 1.8 K, though there is a gradual upturn
below about 10 K. An application of a magnetic field results in a peak around
5K, while ac chi appears to show a very weak frequency dependence below 9 K.
Isothermal M curve at 1.8 K exhibits a weak hysteresis without any evidence for
saturation even at fields as high as 120 kOe. These results imply that this
compound undergoes a spin-glass-like freezing at low temperatures, though the
exact nature of the magnetic transition at 10 K is not clear. The magnitude of
the magnetocaloric effect, as inferred from M and C data, is quite large over a
wide temperature range below 50 K peaking around 4 K.


title: Criteria for generalized macroscopic and mesoscopic quantum coherence

abstract:
  We consider macroscopic, mesoscopic and "S-scopic" quantum superpositions of
eigenstates of an observable, and develop some signatures for their existence.
We define the extent, or size $S$ of a superposition, with respect to an
observable \hat{x}, as being the range of outcomes of \hat{x} predicted by that
superposition. Such superpositions are referred to as generalized $S$-scopic
superpositions to distinguish them from the extreme superpositions that
superpose only the two states that have a difference $S$ in their prediction
for the observable. We also consider generalized $S$-scopic superpositions of
coherent states. We explore the constraints that are placed on the statistics
if we suppose a system to be described by mixtures of superpositions that are
restricted in size. In this way we arrive at experimental criteria that are
sufficient to deduce the existence of a generalized $S$-scopic superposition.
The signatures developed are useful where one is able to demonstrate a degree
of squeezing. We also discuss how the signatures enable a new type of
Einstein-Podolsky-Rosen gedanken experiment.


title: Quark models of dibaryon resonances in nucleon-nucleon scattering

abstract:
  We look for $\Delta\Delta$ and $N\Delta$ resonances by calculating $NN$
scattering phase shifts of two interacting baryon clusters of quarks with
explicit coupling to these dibaryon channels. Two phenomenological
nonrelativistic chiral quark models giving similar low-energy $NN$ properties
are found to give significantly different dibaryon resonance structures. In the
chiral quark model (ChQM), the dibaryon system does not resonate in the $NN$
$S$-waves, in agreement with the experimental SP07 $NN$ partial-wave scattering
amplitudes. In the quark delocalization and color screening model (QDCSM), the
$S$-wave NN resonances disappear when the nucleon size $b$ falls below 0.53 fm.
Both quark models give an $IJ^P = 03^+$ $\Delta\Delta$ resonance. At $b=0.52
$fm, the value favored by baryon spectrum, the resonance mass is 2390 (2420)
MeV for the ChQM with quadratic (linear) confinement, and 2360 MeV for the
QDCSM. Accessible from the $^3D_3^{NN}$ channel, this resonance is a promising
candidate for the known isoscalar ABC structure seen more clearly in the
$pn$$\to $$d\pi\pi$ production cross section at 2410 MeV in the recent
preliminary data reported by the CELSIUS-WASA Collaboration. In the isovector
dibaryon sector, our quark models give a bound or almost bound
$^5S_2^{\Delta\Delta}$ state that can give rise to a $^1D_2^{NN}$ resonance.
None of the quark models used has bound $N\Delta$ $P$-states that might
generate odd-parity resonances.


title: Uniform estimates for paraproducts and related multilinear multipliers

abstract:
  In this paper, we prove some uniform estimates between Lebesgue and Hardy
spaces for operators closely related to the multilinear paraproducts on R^d. We
are looking for uniformity with respect to parameters, which allow us to
disturb the geometry and the metric on $R^d$.


title:
Prospects for studying the solar CNO cycle by means of a lithium
  neutrino detector

abstract:
  Lithium detectors have a high sensitivity to CNO neutrinos from the Sun. The
present experimental data and prospects for future experiments on the detection
of CNO neutrinos are discussed. A nonstationary case is considered when the
flux of 13N neutrinos is higher than the standard solar model predicts due to
the influx of fresh material from the peripheral layers to the solar core.


title: Creating a supersolid in one-dimensional Bose mixtures

abstract:
  We identify a one-dimensional supersolid phase in a binary mixture of
near-hardcore bosons with weak, local inter-species repulsion. We find
realistic conditions under which such a phase, defined here as the coexistence
of quasi-superfluidity and quasi-charge density wave order, can be produced and
observed in finite ultra-cold atom systems in a harmonic trap. Our analysis is
based on Luttinger liquid theory supported with numerical calculations using
the time-evolving block decimation method. Clear experimental signatures of
these two orders can be found, respectively, in time-of-flight interference
patterns, and the structure factor S(k) derived from density correlations.


title: A general asymptotic decay lemma for elliptic problems

abstract:
  We prove a general asymptotic decay lemma which is applicable in various
contexts. As an example, the general theorem is shown to give lower growth
estimates for entire and exterior solutions of the minimal surface equation.


title:
Perverse coherent sheaves on blow-up. II. wall-crossing and Betti
  numbers formula

abstract:
  This is the second of series of papers studyig moduli spaces of a certain
class of coherent sheaves, which we call stable perverse coherent sheaves, on
the blow-up of a projective surface at a point. The followings are main results
of this paper: a) We describe the wall-crossing between moduli spaces caused by
twisting of the line bundle associated with the exceptional divisor. b) We give
the formula for virtual Hodge numbers of moduli spaces of stable perverse
coherent sheaves.
  Moreover we also give proofs of the followings which we observed in a special
case in arXiv:0802.3120: c) The moduli space of stable perverse coherent
sheaves is isomorphic to the usual moduli space of stable coherent sheaves on
the original surface if the first Chern class is orthogonal to the exceptional
divisor. d) The moduli space becomes isomorphic to the usual moduli space of
stable coherent sheaves on the blow-up after twisting by sufficiently large
negative power of the line bundle associated with the exceptional curve.
  Therefore usual moduli spaces of stable sheaves on the blow-up and the
original surfaces are connected via wall-crossings.


title: An electromagnetic perpetuum mobile?

abstract:
  A charge moving freely in orbit around the Earth radiates according to
Larmor's formula. If the path is closed, it would constitute a perpetuum
mobile. The solution to this energy paradox is found in an article by C. M.
DeWitt and B. DeWitt from 1964. The main point is that the equation of motion
of a radiating charge is modified in curved spacetime. In the present article
we explain the physics behind this modification, and use the generalized
equation to solve the perpetuum mobile paradox.


title:
Correlation Effects on Atom Density Profiles of 1-D and 2-D Polarized
  Atomic-Fermi-Gas Loaded on Optical Lattice

abstract:
  We investigate effects of optical lattice potential in one- and
two-dimensional two-component trapped Fermi gases with population imbalances.
Using the exact diagonalization and the density matrix renormalization group
methods complementarily, we calculate the atom density profile from the ground
state many-body wavefunction as a function of attractive interaction strength
for various population imbalances. The numerical results reveal that although a
phase separation between the superfluid core and the shell cloud of excess
atoms occurs as observed in experiments without the optical lattice, the
population imbalance generally remains in the core region in contrast to the
non-lattice cases. The essence of the numerical results in a strong attractive
regime can be explained by an effective model composed of Cooper pairs and
excess major fermions.


title: Mg I emission lines at 12 and 18 micrometer in K giants

abstract:
  The solar Mg I emission lines at 12 micrometer have already been observed and
analyzed well. Previous modeling attempts for other stars have, however, been
made only for Procyon and two cool evolved stars, with unsatisfactory results
for the latter. We present high-resolution observational spectra for the K
giants Pollux, Arcturus, and Aldebaran, which show strong Mg I emission lines
at 12 micrometer as compared to the Sun. We also present the first observed
stellar emission lines from Mg I at 18 micrometer and from Al I, Si I, and
presumably Ca I at 12 micrometer. To produce synthetic line spectra, we employ
standard non-LTE modeling for trace elements in cool stellar photospheres. We
compute model atmospheres with the MARCS code, apply a comprehensive magnesium
model atom, and use the radiative transfer code MULTI to solve for the
magnesium occupation numbers in statistical equilibrium. We successfully
reproduce the observed Mg I emission lines simultaneously in the giants and in
the Sun, but show how the computed line profiles depend critically on atomic
input data and how the inclusion of energy levels with n > 9 and collisions
with neutral hydrogen are necessary to obtain reasonable fits.


title: Up and down quark masses from Finite Energy QCD sum rules to five loops

abstract:
  The up and down quark masses are determined from an optimized QCD Finite
Energy Sum Rule (FESR) involving the correlator of axial-vector divergences, to
five loop order in Perturbative QCD (PQCD), and including leading
non-perturbative QCD and higher order quark mass corrections. This FESR is
designed to reduce considerably the systematic uncertainties arising from the
(unmeasured) hadronic resonance sector, which in this framework contributes
less than 3-4% to the quark mass. This is achieved by introducing an
integration kernel in the form of a second degree polynomial, restricted to
vanish at the peak of the two lowest lying resonances. The driving hadronic
contribution is then the pion pole, with parameters well known from experiment.
The determination is done in the framework of Contour Improved Perturbation
Theory (CIPT), which exhibits a very good convergence, leading to a remarkably
stable result in the unusually wide window $s_0 = 1.0 - 4.0 {GeV}^2$, where
$s_0$ is the radius of the integration contour in the complex energy (squared)
plane. The results are: $m_u(Q= 2 {GeV}) = 2.9 \pm 0.2 $ MeV, $m_d(Q= 2 {GeV})
= 5.3 \pm 0.4$ MeV, and $(m_u + m_d)/2 = 4.1 \pm 0.2$ Mev (at a scale Q=2 GeV).


title:
Adaptive Optics: Observations and Prospects for Studies of Active
  Galactic Nuclei

abstract:
  These lectures take a look at how observations with adaptive optics (AO) are
beginning to influence our understanding of active galactic nuclei (AGN). By
focussing on a few specific topics, the aim is to highlight the different ways
in which enhanced spatial resolution from AO can aid the scientific analysis of
AGN data. After presenting some background about how AO works, I will describe
a few recent observations made with AO of QSO host galaxies, the Galactic
Center, and nearby AGN, and show how they have contributed to our knowledge of
these enigmatic objects.


title: Matter wave soliton collisions in the quasi one dimensional potential

abstract:
  We consider soliton solutions of a two-dimensional nonlinear system with the
self-focusing nonlinearity and a quasi-1D confining potential, taking harmonic
potential as an example. We investigate a single soliton in detail and find
criterion for possible collapse. This information is then used to investigate
the dynamics of the two soliton collision. In this dynamics we identify three
regimes according to the relation between nonlinear interaction and the
excitation energy: elastic collision, excitation and collapse regime. We show
that surprisingly accurate predictions can be obtained from variational
analysis.


title:
Supercurrent behavior of low-energy Bogoliubov phonon and anomalous
  tunneling effect in a Bose-Einstein condensate

abstract:
  We investigate tunneling properties of Bogoliubov mode in a Bose-Einstein
condensate. Using an exactly solvable model with a delta-functional barrier, we
show that each component in the two-component wavefunction (u,v) of low-energy
Bogoliubov phonon has the same form as the condensate wavefunction in the
supercurrent state. As a result, the currents J_u and J_v associated with u and
v, respectively, have the same tunneling properties as those of supercurrent
carried by condensate. Thus, the tunneling of low-energy Bogoliubov phonon
described by the tunneling of these two currents shows perfect transmission. We
also show that the supercurrent behaviors of Bogoliubov phonon still exist in
the presence of supercurrent carried by condensate, except in the critical
supercurrent state. In the critical current state, the perfect transmission is
absent, because J_u or J_v exceeds their upper limit given by the critical
value of the supercurrent associated with the condensate. Our results
consistently explain the recently proposed two tunneling phenomena associated
with Bogoliubov phonon, namely, the anomalous tunneling effect (perfect
transmission in the low-energy limit) and the breakdown of the perfect
transmission in the critical supercurrent state.


title: Model-based pattern speed estimates for 38 barred galaxies

abstract:
  We have modelled 38 barred galaxies by using near-IR and optical data from
the Ohio State University Bright Spiral Galaxy Survey. We constructed the
gravitational potentials of the galaxies from $H$-band photometry, assuming
constant mass-to-light ratio. The halo component we chose corresponds to the so
called universal rotation curve. In each case, we used the response of gaseous
and stellar particle disc to rigidly rotating potential to determine the
pattern speed.
  We find that the pattern speed of the bar depends roughly on the
morphological type. The average value of corotation resonance radius to bar
radius, $\mathcal{R}$, increases from $1.15 \pm 0.25$ in types SB0/a -- SBab to
$1.44 \pm 0.29$ in SBb and $1.82\pm 0.63$ in SBbc -- SBc. Within the error
estimates for the pattern speed and bar radius, all galaxies of type SBab or
earlier have a fast bar ($\mathcal{R} \le 1.4$), whereas the bars in later type
galaxies include both fast and slow rotators. Of 16 later type galaxies with a
nominal value of $\mathcal{R} > 1.4$, there are five cases, where the fast
rotating bar is ruled out by the adopted error estimates.
  We also study the correlation between the parameter $\mathcal{R}$ and other
galactic properties. The clearest correlation is with the bar size: the slowest
bars are also the shortest bars when compared to the galaxy size. A weaker
correlation is seen with bar strength in a sense that slow bars tend to be
weaker. These correlations leave room for a possibility that the determined
pattern speed in many galaxies corresponds actually that of the spiral, which
rotates more slowly than the bar. No clear correlation is seen with either the
galaxy luminosity or colour.


title: Empirical analysis of the worldwide maritime transportation network

abstract:
  In this paper we present an empirical study of the worldwide maritime
transportation network (WMN) in which the nodes are ports and links are
container liners connecting the ports. Using the different representation of
network topology namely the space $L$ and $P$, we study the statistical
properties of WMN including degree distribution, degree correlations, weight
distribution, strength distribution, average shortest path length, line length
distribution and centrality measures. We find that WMN is a small-world network
with power law behavior. Important nodes are identified based on different
centrality measures. Through analyzing weighted cluster coefficient and
weighted average nearest neighbors degree, we reveal the hierarchy structure
and "rich-club" phenomenon in the network.


title: Kinematic Analysis of the vertebra of an eel like robot

abstract:
  The kinematic analysis of a spherical wrist with parallel architecture is the
object of this article. This study is part of a larger French project, which
aims to design and to build an eel like robot to imitate the eel swimming. To
implement direct and inverse kinematics on the control law of the prototype, we
need to evaluate the workspace without any collisions between the different
bodies. The tilt and torsion parameters are used to represent the workspace.


title:
Zero-Phonon Line Broadening and Satellite Peaks in Nanowire Quantum
  Dots: The Role of Piezoelectric Coupling

abstract:
  We investigate the influence of the one-dimensional character of the phonon
modes in a catalytically grown GaAs nanowire on the absorption spectrum of an
embedded quantum dot, focusing on the contribution from the piezoelectric
coupling. In general, the reduced dimensionality of the phonons leads to
spectral side peaks and a zero-phonon line broadening due to the energetically
lowest (acoustic) phonon mode. While the deformation potential predominantly
couples to radial modes, the piezoelectric interaction can also couple strongly
to modes of axial character, leading to additional absorption features. The
contribution of the piezoelectric coupling to the zero-phonon line is
negligible.


title:
PHENIX first measurement of the J/psi elliptic flow parameter v2 in
  Au+Au collisions at sqrt(sNN) = 200 GeV

abstract:
  Recent results indicate that the J/psi suppression pattern differs with
rapidity showing a larger suppression at forward rapidity. J/psi suppression
mechanisms based on energy density (such as color screening, interaction with
co-movers, etc.) predict the opposite trend. On the other hand, it is expected
that more c\bar{c} pairs should be available to form quarkonia at mid-rapidity
via recombination. Some models provide a way to differentiate J/psi production
from initially produced c\bar{c} pairs and final state recombination of
uncorrelated pairs, via the rapidity and transverse momentum dependence of the
elliptic flow (v2).
  During 2007 data taking at RHIC, a large sample of Au+Au collisions at
sqrt(sNN)=200 GeV was collected. The statistics has been increased compared to
previous 2004 data set, thus allowing a more precise measurement of the J/psi
production at both mid and forward rapidity. Furthermore, the PHENIX experiment
benefited from the addition of a new detector, which improves the reaction
plane resolution and allows us to measure the J/psi v2. Comparing this
measurement to the positive D-mesons v2 (through non-photonic electron decays)
will help constraining the J/psi production mechanisms and getting a more
precise picture of the proportion of J/psi coming from direct production or
charm quark coalescence.
  Details on how the J/psi v2 is measured at both rapidities are presented. The
J/psi v2 as a function of transverse momentum are compared to existing models.


title: Real Homotopy Theory of Semi-Algebraic Sets

abstract:
  We complete the details of a theory outlined by Kontsevich and Soibelman that
associates to a semi-algebraic set a certain graded commutative differential
algebra of "semi-algebraic differential forms" in a functorial way. This
algebra encodes the real homotopy type of the semi-algebraic set in the spirit
of the DeRham algebra of differential forms on a smooth manifold. Its
development is needed for Kontsevich's proof of the formality of the little
cubes operad.


title: Optimal nonequilibrium entanglement of nanomechanical oscillators

abstract:
  We investigate nonequilibrium entanglement generation in a chain of harmonic
oscillators with time-dependent linear coupling. We use optimal control theory
to determine the coupling modulation that leads to maximum logarithmic
negativity for a pair of opposite oscillators and show that it corresponds to a
synchronization of the eigenmodes of the chain. We further analytically relate
the maximum attainable entanglement to the irreversible work done to produce
it, thus bridging nonequilibrium entanglement production and nonequilibrium
thermodynamics.


title: Subresultants in Recursive Polynomial Remainder Sequence

abstract:
  We introduce concepts of "recursive polynomial remainder sequence (PRS)" and
"recursive subresultant," and investigate their properties. In calculating PRS,
if there exists the GCD (greatest common divisor) of initial polynomials, we
calculate "recursively" with new PRS for the GCD and its derivative, until a
constant is derived. We call such a PRS a recursive PRS. We define recursive
subresultants to be determinants representing the coefficients in recursive PRS
by coefficients of initial polynomials. Finally, we discuss usage of recursive
subresultants in approximate algebraic computation, which motivates the present
work.


title:
Groebner bases for the polynomial ring with infinite variables and their
  applications

abstract:
  We develop the theory of Gr\"obner bases for ideals in a polynomial ring with
countably infinite variables over a field. As an application we reconstruct
some of the one-one correspondences among various sets of partitions by using
division algorithm.


title:
Dynamical Electroweak Symmetry Breaking in SO(5)xU(1) Gauge-Higgs
  Unification with Top and Bottom Quarks

abstract:
  An SO(5)xU(1) gauge-Higgs unification model in the Randall-Sundrum warped
space with top and bottom quarks is constructed. Additional fermions on the
Planck brane make exotic particles heavy by effectively changing boundary
conditions of bulk fermions from those determined by orbifold conditions. Gauge
couplings of a top quark multiplet trigger electroweak symmetry breaking by the
Hosotani mechanism, simultaneously giving a top quark the observed mass. The
bottom quark mass is generated by combination of brane interactions and the
Hosotani mechanism, where only one ratio of brane masses is relevant when the
scale of brane masses is much larger than the Kaluza-Klein scale (\sim 1.5
TeV). The Higgs mass is predicted to be 49.9 (53.5) GeV for the warp factor
10^{15} (10^{17}). The Wilson line phase turns out \pi/2 and the Higgs
couplings to W and Z vanish so that the LEP2 bound for the Higgs mass is
evaded. In the flat spacetime limit the electroweak symmetry is unbroken.


title:
Photons from Jet - Plasma Interaction in collisional energy loss
  scenario

abstract:
  We calculate photons from jet plasma interaction in a collisional energy loss
scenario. It is shown that the PHENIX photon data is well reproduced when
photons from initial hard collisions are taken into account.


title: Wegner estimates for sign-changing single site potentials

abstract:
  We study Anderson and alloy type random Schr\"odinger operators on
$\ell^2(\ZZ^d)$ and $L^2(\RR^d)$. Wegner estimates are bounds on the average
number of eigenvalues in an energy interval of finite box restrictions of these
types of operators. For a certain class of models we prove a Wegner estimate
which is linear in the volume of the box and the length of the considered
energy interval. The single site potential of the Anderson/alloy type model
does not need to have fixed sign, but it needs be of a generalised step
function form. The result implies the Lipschitz continuity of the integrated
density of states.


title: Entropies in case of continuous time

abstract:
  Information theory on a time-discrete setting in the framework of time series
analysis is generalized to the time-continuous case. Considerations of the
Roessler and Lorenz dynamics as well as the Ornstein-Uhlenbeck process yield
for time-continuous entropies a new possibility for the distinction of chaos
and noise. In the deterministic case an upper threshold of the joint
uncertainty in the limit of infinitely high sampling rate can be found and the
entropy rate can be calculated as a usual time derivative of the entropy. In a
three-dimensional representation the dependence of the joint entropy on space
resolution, discretization time step length and uncertainty-assessed time is
shown in a unified manner. Hence the dimension and the Kolmogorov-Sinai entropy
rate of any dynamics can be read out as limit cases from one single graph.


title: Re-discovery of the top quark at the LHC and first measurements

abstract:
  This paper describes the top quark physics measurements that can be performed
with the first LHC data in the ATLAS and CMS experiments.


title: Complex and Unpredictable Cardano

abstract:
  This purely recreational paper is about one of the most colorful characters
of the Italian Renaissance, Girolamo Cardano, and the discovery of two basic
ingredients of quantum theory, probability and complex numbers. The paper is
dedicated to Giuseppe Castagnoli on the occasion of his 65th birthday. Back in
the early 1990s, Giuseppe instigated a series of meetings at Villa Gualino, in
Torino, which brought together few scattered individuals interested in the
physics of computation. By doing so he effectively created and consolidated a
vibrant and friendly community of researchers devoted to quantum information
science. Many thanks for that!


title: The direction of outflows from filaments : constraints on core formation

abstract:
  Context: It is generally presumed that the outflows from a YSO are directed
close to its rotation axis (i.e. along its angular momentum vector and
orthogonal to any attendant accretion disc). Many YSOs are formed from dense
prestellar cores embedded in filaments, and therefore the relative orientations
of outflows and filaments may place useful constraints on the dynamics of core
formation.
  Aims: We explore this possibility, from the viewpoint of what it may tell us
about the angular momentum delivered to a core forming in a filament. We stress
that we are not here addressing the issue of the relationship of filaments and
outflows to the prevailing magnetic field direction, although this is evidently
also an interesting issue.
  Results: Using the limited data available, and neglecting any possible
selection effects or correlations between nearby outflows, we infer that the
observed outflows have a tendency to be orthogonal to the filaments that
contain their driving sources. Specfically, in the cases where the directions
of the filaments and outflows are well defined, we infer statistically that 72%
of outflows are within $45^{\rm o}$ of being orthogonal to the filament, and
only 28% are within $45^{\rm o}$ of being parallel to the filament.
  Conclusions: This suggests that the prestellar cores which spawned the YSOs
driving the observed outflows had angular momenta which were approximately
orthogonal to the filaments out of which the cores formed. We briefly discuss
the implications of this for two proposed core formation mechanisms.


title:
Lower bounds for the normalized height and non-dense subsets of
  varieties in an abelian variety

abstract:
  This work is the third part of a series of papers. In the first two we
consider curves and varieties in a power of an elliptic curve. Here we deal
with subvarieties of an abelian variety in general.
  Let V be an irreducible variety of dimension d embedded in an abelian variety
A, both defined over the algebraic numbers. We say that V is weak-transverse if
V is not contained in any proper algebraic subgroup of A, and transverse if it
is not contained in any translate of such a subgroup.
  Assume a conjectural lower bound for the normalized height of V. For V
transverse, we prove that the algebraic points of bounded height of V which lie
in the union of all algebraic subgroups of A of codimension at least d+1
translated by the points close to a subgroup G of finite rank are non
Zariski-dense in V. If G has rank zero, it is sufficient to assume that V is
weak-transverse.
  The notion of closeness is defined using a height function.


title: Recursive Polynomial Remainder Sequence and the Nested Subresultants

abstract:
  We give two new expressions of subresultants, nested subresultant and reduced
nested subresultant, for the recursive polynomial remainder sequence (PRS)
which has been introduced by the author. The reduced nested subresultant
reduces the size of the subresultant matrix drastically compared with the
recursive subresultant proposed by the authors before, hence it is much more
useful for investigation of the recursive PRS. Finally, we discuss usage of the
reduced nested subresultant in approximate algebraic computation, which
motivates the present work.


title: Generalized field-transforming metamaterials

abstract:
  In this paper we introduce a generalized concept of field-transforming
metamaterials, which perform field transformations defined as linear relations
between the original and transformed fields. These artificial media change the
fields in a prescribed fashion in the volume occupied by the medium. We show
what electromagnetic properties of transforming medium are required. The
coefficients of these linear functions can be arbitrary scalar functions of
position and frequency, which makes the approach quite general and opens a
possibility to realize various unusual devices.


title: On Sums of Conditionally Independent Subexponential Random Variables

abstract:
  The asymptotic tail behaviour of sums of independent subexponential random
variables is well understood, one of the main characteristics being the
principle of the single big jump. We study the case of dependent subexponential
random variables, for both deterministic and random sums, using a fresh
approach, by considering conditional independence structures on the random
variables. We seek sufficient conditions for the results of the theory with
independent random variables still to hold. For a subexponential distribution,
we introduce the concept of a boundary class of functions, which we hope will
be a useful tool in studying many aspects of subexponential random variables.
The examples we give in the paper demonstrate a variety of effects owing to the
dependence, and are also interesting in their own right.


title:
The neon content of nearby B-type stars and its implications for the
  solar model problem

abstract:
  The recent downward revision of the solar photospheric abundances now leads
to severe inconsistencies between the theoretical predictions for the internal
structure of the Sun and the results of helioseismology. There have been claims
that the solar neon abundance may be underestimated and that an increase in
this poorly-known quantity could alleviate (or even completely solve) this
problem. Early-type stars in the solar neighbourhood are well-suited to testing
this hypothesis because they are the only stellar objects whose absolute neon
abundance can be derived from the direct analysis of photospheric lines. Here
we present a fully homogeneous NLTE abundance study of the optical Ne I and Ne
II lines in a sample of 18 nearby, early B-type stars, which suggests log
epsilon(Ne)=7.97+/-0.07 dex (on the scale in which log epsilon[H]=12) for the
present-day neon abundance of the local ISM. Chemical evolution models of the
Galaxy only predict a very small enrichment of the nearby interstellar gas in
neon over the past 4.6 Gyr, implying that our estimate should be representative
of the Sun at birth. Although higher by about 35% than the new recommended
solar abundance, such a value appears insufficient by itself to restore the
past agreement between the solar models and the helioseismological constraints.


title: Stable solutions of $-\Delta u = f(u)$ in $\R^N$

abstract:
  The paper proves Liouville-type results for stable solutions of semilinear
elliptic PDEs with convex nonlinearity, posed on the entire Euclidean space.
Extensions to solutions which are stable outside a compact set are also
presented.


title: Melting of the Na layers in solid Na0.8CoO2

abstract:
  Data of 23Na NMR spectra- and relaxation measurements are interpreted as
suggesting that, upon increasing temperature the Na layers in Na0.8CoO2 adopt a
2D liquid state at T=291 K. The corresponding first order phase transition is
preceded by a rapidly increasing mobility and diffusion of Na ions above 200K.
Above 291 K the 23Na NMR response is similar to that previously observed in
superionic conductors with planar Na layers.


title: Gravitational lens surveys with LOFAR

abstract:
  Deep surveys planned as a Key Science Project of LOFAR provide completely new
opportunities for gravitational lens searches. For the first time do
large-scale surveys reach the resolution required for a direct selection of
lens candidates using morphological criteria. We briefly describe the
strategies that we will use to exploit this potential. The long baselines of an
international E-LOFAR are essential for this project.


title: Recursive Polynomial Remainder Sequence and its Subresultants

abstract:
  We introduce concepts of "recursive polynomial remainder sequence (PRS)" and
"recursive subresultant," along with investigation of their properties. A
recursive PRS is defined as, if there exists the GCD (greatest common divisor)
of initial polynomials, a sequence of PRSs calculated "recursively" for the GCD
and its derivative until a constant is derived, and recursive subresultants are
defined by determinants representing the coefficients in recursive PRS as
functions of coefficients of initial polynomials. We give three different
constructions of subresultant matrices for recursive subresultants; while the
first one is built-up just with previously defined matrices thus the size of
the matrix increases fast as the recursion deepens, the last one reduces the
size of the matrix drastically by the Gaussian elimination on the second one
which has a "nested" expression, i.e. a Sylvester matrix whose elements are
themselves determinants.


title: Probing Dark Energy Inhomogeneities with Supernovae

abstract:
  We discuss the possibility to identify anisotropic and/or inhomogeneous
cosmological models using type Ia supernova data. A search for correlations in
current type Ia peak magnitudes over a large range of angular scales yields a
null result. However, the same analysis limited to supernovae at low redshift,
shows a feeble anticorrelation at the two sigma level at angular scales of
about 40 degrees. Upcoming data from, e.g., the SNLS (Supernova Legacy Survey)
and the SDSS-II (SDSS: Sloan Digital Sky Survey) supernova searches will
improve our limits on the size of - or possibly detect - possible correlations
also at high redshift at the per cent level in the near future. With data from
the proposed SNAP (SuperNova Acceleration Probe) satellite, we will be able to
detect the induced correlations from gravitational lensing on type Ia peak
magnitudes on scales less than a degree.


title: Update of axion CDM energy density

abstract:
  We improve the estimate of the axion CDM energy density by considering the
new values of current quark masses, the QCD phase transition effect and a
possible anharmonic effect.


title:
The Dirichlet problem for the minimal surface equation -with possible
  infinite boundary data- over domains in a Riemannian surface

abstract:
  In this paper, we study existence and uniqueness of solutions to
Jenkins-Serrin type problems on domains in a Riemannian surface. In the case of
unbounded domains, the study is focused on the hyperbolic plane.


title: QED peripheral mechanism of pair production at colliders

abstract:
  Cross section of the processes of neutral pion production as well as pairs of
charged fermions and bosons in peripherical interaction of leptons, photons are
calculated in main logarithmical approximation. We investigate the phase
volumes and differential cross sections. The differential cross section of few
neutral pions and a few pairs production are written down explicitly.
Considering the academic problem of summation on the number of pairs for the
case of massless particles we reproduce the known results obtained in seventies
of last century. The possibility to construct the generator for Monte-Carlo
modeling of this processes basing of this results are discussed.