title:
The Micro-Arcsecond Scintillation-Induced Variability (MASIV) Survey II:
  The First Four Epochs

abstract:
  We report on the variability of 443 flat spectrum, compact radio sources
monitored using the VLA for 3 days in 4 epochs at ~ 4 month intervals at 5 GHz
as part of the Micro-Arcsecond Scintillation-Induced Variability (MASIV)
survey. Over half of these sources exhibited 2-10% rms variations on timescales
over 2 days. We analyzed the variations by two independent methods, and find
that the rms variability amplitudes of the sources correlate with the emission
measure in the ionized Interstellar Medium along their respective lines of
sight. We thus link the variations with interstellar scintillation of
components of these sources, with some (unknown) fraction of the total flux
density contained within a compact region of angular diameter in the range
10-50 micro-arcseconds. We also find that the variations decrease for high mean
flux density sources and, most importantly, for high redshift sources. The
decrease in variability is probably due either to an increase in the apparent
diameter of the source, or a decrease in the flux density of the compact
fraction beyond z ~ 2. Here we present a statistical analysis of these results,
and a future paper will the discuss the cosmological implications in detail.


title: Scaling limit for subsystems and Doplicher-Roberts reconstruction

abstract:
  Given an inclusion $B \subset F$ of (graded) local nets, we analyse the
structure of the corresponding inclusion of scaling limit nets $B_0 \subset
F_0$, giving conditions, fulfilled in free field theory, under which the
unicity of the scaling limit of $F$ implies that of the scaling limit of $B$.
As a byproduct, we compute explicitly the (unique) scaling limit of the
fixpoint nets of scalar free field theories. In the particular case of an
inclusion $A \subset B$ of local nets with the same canonical field net $F$, we
find sufficient conditions which entail the equality of the canonical field
nets of $A_0$ and $B_0$.


title: Electroweak corrections to $t\bar{t}$ production at hadron colliders

abstract:
  We report on our recent work on electroweak corrections to $t\bar{t}$
production at hadron colliders. Specifically, we discuss the weak-interaction
contributions to the top quark transverse momentum and $t \bar{t}$ invariant
mass distributions and an induced parity-violating top-spin asymmetry.


title: The effect of gluon condensate on holographic heavy quark potential

abstract:
  The gluon condensate is very sensitive to the QCD deconfinement transition
since its value changes drastically with the deconfinement transition. We
calculate the gluon condensate dependence of the heavy quark potential in
AdS/CFT to study how the property of the heavy quarkonium is affected by a
relic of the deconfinement transition. We observe that the heavy quark
potential becomes deeper as the value of the gluon condensate decreases. We
interpret this as a dropping of the heavy quarkonium mass just above the
deconfinement transition, which is similar to the results obtained from QCD sum
rule and from a bottom-up AdS/QCD model.


title: Yukawa Interactions and Supersymmetric Electroweak Baryogenesis

abstract:
  We analyze the quantum transport equations for supersymmetric electroweak
baryogenesis including previously neglected bottom and tau Yukawa interactions
and show that they imply the presence of a previously unrecognized dependence
of the cosmic baryon asymmetry on the spectrum of third generation quark and
lepton superpartners. For fixed values of the CP-violating phases in the
supersymmetric theory, the baryon asymmetry can vary in both magnitude and sign
as a result of the squark and slepton mass dependence. For light, right-handed
top and bottom quark superpartners, the baryon number creation can be driven
primarily by interactions involving third generation leptons and their
superpartners.


title: Bulk viscosity and r-modes of neutron stars

abstract:
  The bulk viscosity due to the non-leptonic process involving hyperons in
$K^-$ condensed matter is discussed here. We find that the bulk viscosity is
modified in a superconducting phase. Further, we demonstrate how the exotic
bulk viscosity coefficient influences $r$-modes of neutron stars which might be
sources of detectable gravitational waves.


title: Biflatness and biprojectivity of the Fourier algebra

abstract:
  We show that the biflatness - in the sense of A. Ya. Helemskii - of the
Fourier algebra $A(G)$ of a locally compact group $G$ forces $G$ to either have
an abelian subgroup of finite index or to be non-amenable without containing
$F_2$, the free group in two generators, as a closed subgroup. An analogous
dichotomy is obtained for biprojectivity.


title:
Sufficient and Necessary Condition of Separability for Generalized
  Werner States

abstract:
  We introduce a sufficient and necessary condition for the separability of a
specific class of $N$ $d$-dimensional system (qudits) states, namely special
generalized Werner state (SGWS): $W^{[d^N]}(v)=(1-v)\frac{I^{(N)}}{d^N}+v|\psi
_d^N><\psi_d^N|$, where $ |\psi_d^N>=\sum_{i=0}^{d-1}\alpha_i|i... i>$ is an
entangled pure state of $N$ qudits system and $\alpha_i$ satisfys two
restrictions: (i) $\sum_{i=0}^{d-1}\alpha_i\alpha_i^*=1$; (ii) Matrix
$\frac{1}{d}(I^{(1)}+\mathcal{T}\sum_{i\neq j}\alpha_i|i>< j|\alpha_j^*)$,
where $\mathcal{T}=\texttt{Min}_{i\neq j}\{1/|\alpha_i\alpha_j|\}$, is a
density matrix. Our condition gives quite a simple and efficiently computable
way to judge whether a given SGWS is separable or not and previously known
separable conditions are shown to be special cases of our approach.


title: Avalanche-Induced Current Enhancement in Semiconducting Carbon Nanotubes

abstract:
  Semiconducting carbon nanotubes under high electric field stress (~10 V/um)
display a striking, exponential current increase due to avalanche generation of
free electrons and holes. Unlike in other materials, the avalanche process in
such 1D quantum wires involves access to the third sub-band, is insensitive to
temperature, but strongly dependent on diameter ~exp(-1/d^2). Comparison with a
theoretical model yields a novel approach to obtain the inelastic optical
phonon emission length, L_OP,ems ~ 15d nm. The combined results underscore the
importance of multi-band transport in 1D molecular wires.


title: Relations among conditional probabilities

abstract:
  We describe a Groebner basis of relations among conditional probabilities in
a discrete probability space, with any set of conditioned-upon events. They may
be specialized to the partially-observed random variable case, the purely
conditional case, and other special cases. We also investigate the connection
to generalized permutohedra and describe a conditional probability simplex.


title:
Response to the Mouschovias-Tassis Comments on "Testing Magnetic Star
  Formation Theory"

abstract:
  In this note we respond to Mouschovias and Kassis criticisms that our paper
"Testing Magnetic Star Formation Theory" is flawed. We stand fully behind our
paper.


title:
VLBI Astrometry of AGB Variables with VERA -- A Semiregular Variable S
  Crateris --

abstract:
  We present a distance measurement for the semiregular variable S Crateris (S
Crt) based on its annual parallax. With the unique dual beam system of the VLBI
Exploration for Radio Astrometry (VERA) telescopes, we measured the absolute
proper motion of a water maser spot associated with S Crt, referred to the
quasar J1147-0724 located at an angular separation of 1.23$^{\circ}$. In
observations spanning nearly two years, we have detected the maser spot at the
LSR velocity of 34.7 km s$^{-1}$, for which we measured the annual parallax of
2.33$\pm$0.13 mas corresponding to a distance of 430$^{+25}_{-23}$ pc. This
measurement has an accuracy one order of magnitude better than the parallax
measurements of HIPPARCOS. The angular distribution and three-dimensional
velocity field of maser spots indicate a bipolar outflow with the flow axis
along northeast-southwest direction. Using the distance and photospheric
temperature, we estimate the stellar radius of S Crt and compare it with those
of Mira variables.


title: Charged Black Holes in Phantom Cosmology

abstract:
  In the classical relativistic regime, the accretion of phantom-like dark
energy onto a stationary black hole reduces the mass of black hole. Here we
have investigated the accretion of phantom energy onto a stationary charged
black hole and have determined the condition under which this accretion is
possible. This condition restricts the mass to charge ratio in a narrow limit.
This condition also challenges the validity of the cosmic censorship conjecture
since a naked singularity is eventually produced as magnitude of charge
increases compared to mass of black hole.


title: In-medium modification of P-wave charmonia from QCD sum rules

abstract:
  We investigate the changes of the masses and widths of $\chi_{c0}$ and
$\chi_{c1}$ in hot gluonic matter near $T_c$ and in nuclear medium using QCD
sum rules. As in the previous works for the $J/\psi$ and $\eta_c$, in-medium
effects are incorporated through the changes of gluon condensates. Twist-2
terms for the $^3 P_0 (\chi_{c0})$ and $^3 P_1 (\chi_{c1})$ are also included
for the first time. The results show that larger mass shifts and width
broadenings take place as compared to the $S$-wave states. As the critical
change take place near $T_c$, related measurements can reveal critical
phenomenon in QCD.


title:
Elastic flexibility, fast-ion conduction, boson and floppy modes in
  AgPO3-AgI glasses examined in Raman scattering, IR reflectance, MDSC, ac
  electrical conductivity and molar volume experiments

abstract:
  Raman scattering, IR reflectance and modulated DSC measurements are performed
on specifically prepared dry (AgI)x(AgPO3)1-x glasses over a wide range of
compositions 0 < x < 0.60. A reversibility window is observed in the 0.095< x <
0.378 range, which fixes the elastically rigid but unstressed regime also known
as the Intermediate Phase. Glass compositions at x < 0.095 are stressed-rigid,
while those at x > 0.378 elastically flexible. Raman optical elasticity
power-laws, trends in the nature of the glass transition endotherms corroborate
the three elastic phase assignments. Ionic conductivities reveal a step-like
increase when glasses become stress-free at x > xc(1) = 0.095, and a
logarithmic increase in conductivity (sigma ~ (x-xc(2)t) once they become
flexible at x > xc(2) = 0.378 with a power-law t = 1.78. The power-law is
consistent with percolation of 3D filamentary conduction pathways. Traces of
water doping lower Tg and narrow the reversibility window, and can also
completely collapse it. Ideas on network flexibility promoting ion-conduction
are in harmony with the unified approach of Ingram et al., who have emphasized
the similarity of process compliance or elasticity relating to ion-transport
and structural relaxation in decoupled systems. Boson mode frequency and
scattering strength display thresholds that coincide with the two elastic phase
boundaries. In particular, the scattering strength of the boson mode increases
almost linearly with glass composition x, with a slope that tracks the floppy
mode fraction as a function of mean coordination number r predicted by
mean-field rigidity theory. These data suggest that the excess low frequency
vibrations contributing to boson mode in flexible glasses come largely from
floppy modes.


title: Loop series expansion with propagation diagrams

abstract:
  The Bethe approximation is a successful method for approximating partition
functions of probabilistic models associated with a graph. Recently, Chertkov
and Chernyak derived an interesting formula called Loop Series Expansion, which
is an expansion of the partition function. The main term of the series is the
Bethe approximation while other terms are labelled by subgraphs called
generalized loops. In this paper, we derive a loop series expansion of binary
pairwise Markov random fields with propagation diagrams, which describe rules
how first messages and secondary messages propagate. Our approach allows to
express the Loop Series in the form of a polynomial with coefficients positive
integers. Using the propagation diagrams, we establish a new formula that shows
a relation between the exact marginal probabilities and their Bethe
approximations.


title: On algebraic models of relativistic scattering

abstract:
  In this paper we develop an algebraic technique for building relativistic
models in the framework of direct-interaction theories. The interacting mass
operator M in the Bakamjian-Thomas construction is related to a quadratic
Casimir operator C of a non-compact group G. As a consequence, the S matrix can
be gained from an intertwining relation between Weyl-equivalent representations
of G. The method is illustrated by explicit application to a model with SO(3,1)
dynamical symmetry.


title: Enumeration of $(k,2)$-noncrossing partitions

abstract:
  A set partition is said to be $(k,d)$-noncrossing if it avoids the pattern
$12... k12... d$. We find an explicit formula for the ordinary generating
function of the number of $(k,d)$-noncrossing partitions of $\{1,2,...,n\}$
when $d=1,2$.


title:
Chemistry of layered d-metal pnictide oxides and their potential as
  candidates for new superconductors

abstract:
  Layered d-metal pnictide oxides are a unique class of compounds which
consists of characteristic d-metal pnictide layers and metal oxide layers. More
than 100 of these layered compounds, including the recently discovered Fe-based
superconducting pnictide oxides, can be classified into 9 structure types.
These structure types and the chemical and physical properties of the
characteristic d-metal pnictide layers and metal oxide layers of the layered
d-metal pnictide oxides are reviewed and discussed. Furthermore, possible
approaches to design new superconductors based on these layered d-metal
pnictide oxides are proposed.


title:
Effect of material stiffness on hardness: a computational study based on
  model potentials

abstract:
  We investigate the dependence of the hardness of materials on their elastic
stiffness. This is possible by constructing a series of model potentials of the
Morse type; starting on modelling natural Cu, the model potential exhibit an
increased elastic modulus, while keeping all other potential parameters
(lattice constant, bond energy) unchanged. Using molecular-dynamics simulation,
we perform nanoindentation experiments on these model crystals. We find that
the crystal hardness scales with the elastic stiffness. Also the load drop,
which is experienced when plasticity sets in, increases in proportion to the
elastic stiffness, while the yield point, i.e., the indentation at which
plasticity sets in, is independent of the elastic stiffness.


title:
Nonlinear Optical Response Functions of Mott Insulators Based on
  Dynamical Mean Field Approximation

abstract:
  We investigate the nonlinear optical susceptibilities of Mott insulators with
the dynamical mean field approximation. The two-photon absorption (TPA) and the
third-harmonic generation (THG) spectra are calculated, and the classification
by the types of coupling to external fields shows different behavior from
conventional semiconductors. The direct transition terms are predominant both
in the TPA and THG spectra, and the importance of taking all types of
interaction with the external field into account is illustrated in connection
with the THG spectrum and dcKerr effect. The dependence of the TPA and THG
spectra on the Coulomb interaction indicate a scaling relation. We apply this
relation to the quantitative evaluation and obtain results comparable to those
of experiments.


title: Testing backreaction effects with observations

abstract:
  In order to quantitatively test the ability of averaged inhomogeneous
cosmologies to correctly describe observations of the large scale properties of
the Universe, we introduce a smoothed template metric corresponding to a
constant spatial curvature model at any time, but with an evolving curvature
parameter. This metric is used to compute quantities along an approximate
effective lightcone of the averaged model of the Universe. As opposed to the
standard Friedmann model, we parameterize this template metric by exact scaling
properties of an averaged inhomogeneous cosmology, and we also motivate this
form of the metric by results on a geometrical smoothing of inhomogeneous
cosmological hypersurfaces. We test our hypothesis for the template metric
against supernova data and the position of the CMB peaks, and infer the
goodness--of--fit and parameter uncertainties. We find that averaged
inhomogeneous models can reproduce the observations without requiring an
additional Dark Energy component (though a volume acceleration is still
needed), and that current data do not disfavour our main assumption on the
effective lightcone structure. We also show that the experimental uncertainties
on the angular diameter distance and the Hubble parameter from Baryon Acoustic
Oscillations measurements -- forseen in future surveys like the proposed EUCLID
satellite project -- are sufficiently small to distinguish between a FLRW
template geometry and the template geometry with consistently evolving
curvature. (Abridged)


title:
New Insight into the Properties of Proton Conducting Oxides from Neutron
  Total Scattering

abstract:
  In this paper we investigated the most important family of proton conducting
oxides, i.e. cerates, by means of pair distribution function analysis (PDF)
obtained from total neutron scattering data. The results clearly demonstrates
that the local structure plays a fundamental role in the protonation process.
Oxygen vacancy creation by acceptor doping reduces the local structure symmetry
which is then restored upon water uptake. This mechanism mainly involves the
Ba-O shell which flexibility seems to be at the basis of the proton conduction
mechanism, thus providing a direct insight on the design of optimal proton
conducting materials.


title:
Photoemission signatures of valence-bond stripes in cuprates: Long-range
  vs. short-range order

abstract:
  Recent experiments indicate that the tendency toward the formation of
unidirectional charge density waves ("stripes") is common to various underdoped
cuprates. We discuss momentum-resolved spectral properties of valence-bond
stripes, comparing the situations of ideal and short-range stripe order, the
latter being relevant for weak and/or disorder-pinned stripes. We find clear
signatures of ordered stripes, although matrix element effects suppress most
shadow band features. With decreasing stripe correlation length, stripe
signatures are quickly washed out, the only remaining effect being a broadening
of antinodal quasiparticles. This insensitivity of photoemission to short-range
stripe order may be employed to distinguish it from nematic order, e.g. in
underdoped YBCO.


title: A trivial formalization of the theory of grossone

abstract:
  A trivial formalization is given for the informal reasonings presented in a
series of papers by Ya.D.Sergeyev on a positional numeral system with an
infinitely large base, grossone; the system which is groundlessly opposed by
its originator to the classical nonstandard analysis.


title: Baryon octupole moments

abstract:
  We report on a calculation of higher electromagnetic multipole moments of
baryons in a non-covariant quark model approach. The employed method is based
on the underlying spin-flavor symmetry of the strong interaction and its
breaking.We present results on magnetic octupole moments of decuplet baryons
and discuss their implications.


title: Heat flow on Finsler manifolds

abstract:
  We present two approaches to the heat flow on a Finsler manifold $(M,F)$:
either as gradient flow on $L^2(M,m)$ for the energy; or as gradient flow on
the reverse $L^2$-Wasserstein space $\mathcal{P}_2(M)$ of probability measures
on $M$ for the relative entropy. Both approaches depend on the choice of a
measure $m$ on $M$ and then lead to the same nonlinear evolution semigroup. We
prove $\mathcal{C}^{1,\alpha}$-regularity for solutions to the (nonlinear) heat
equation on the Finsler space $(M,F,m)$. Typically, solutions to the heat
equation will not be $\mathcal{C}^2$. Moreover, we derive pointwise comparison
results a la Cheeger-Yau and integrated upper Gaussian estimates a la Davies.


title: Rank of 3-tensors with 2 slices and Kronecker canonical forms

abstract:
  Tensor type data are becoming important recently in various application
fields. We determine a rank of a tensor T so that A+T is diagonalizable for a
given 3-tensor A with 2 slices over the complex and real number field.


title: Curvaton Dynamics and the Non-Linearity Parameters in Curvaton Model

abstract:
  We investigate the curvaton dynamics and the non-linearity parameters in
curvaton model with potential slightly deviating from the quadratic form in
detail. The non-linearity parameter $g_{NL}$ will show up due to the curvaton
self-interaction. We also point out that the leading order of non-quadratic
term in the curvaton potential can be negative, for example in the axion-type
curvaton model. If a large positive $g_{NL}$ is detected, the axion-type
curvaton model will be preferred.


title: Fano-like Anti-resonances in Nanomechanical and Optomechanical Systems

abstract:
  We study a resonator coupled to a generic detector and calculate the noise
spectra of the two sub-systems. We describe the coupled system by a closed,
linear, set of Langevin equations and derive a general form for the finite
frequency noise of both the resonator and the detector. The resonator spectrum
is the well-known thermal form with an effective damping, frequency shift and
diffusion term. In contrast, the detector noise shows a rather striking
Fano-like resonance, i.e. there is a resonance at the renormalized frequency,
and an anti-resonance at the bare resonator frequency. As examples of this
effect, we calculate the spectrum of a normal state single electron transistor
coupled capacitively to a resonator and of a cavity coupled parametrically to a
resonator.


title: Hole spin relaxation in $p$-type GaAs quantum wires

abstract:
  We investigate the spin relaxation of $p$-type GaAs quantum wires by
numerically solving the fully microscopic kinetic spin Bloch equations. We find
that the quantum-wire size influences the spin relaxation time effectively by
modulating the energy spectrum and the heavy-hole--light-hole mixing of wire
states. The effects of quantum-wire size, temperature, hole density, and
initial polarization are investigated in detail. We show that, depending on the
situation, the spin relaxation time can either increase or decrease with hole
density. Due to the different subband structure and effects arising from
spin-orbit coupling, many spin-relaxation properties are quite different from
those of holes in the bulk or in quantum wells, and the inter-subband
scattering makes a marked contribution to the spin relaxation.


title:
Oscillations of the large-scale circulation in turbulent
  Rayleigh-B\'{e}nard convection: the off-center mode and its relationship with
  the torsional mode

abstract:
  We report an experimental study of the large-scale circulation (LSC) in a
turbulent Rayleigh-B\'{e}nard convection cell with aspect ratio unity. The
temperature-extremum-extraction (TEE) method for obtaining the dynamic
information of the LSC is presented. With this method, the azimuthal angular
positions of the hot ascending and cold descending flows along the sidewall are
identified from the measured instantaneous azimuthal temperature profile. The
motion of the LSC is then decomposed into two different modes: the azimuthal
mode and the translational or off-center mode. Comparing to the previous
sinusoidal-fitting (SF) method, it is found that both methods give the same
information about the azimuthal motion of the LSC, but the TEE method in
addition can provide information about the off-center motion of the LSC, which
is found to oscillate time-periodically around the cell's central vertical axis
with an amplitude being nearly independent of the turbulent intensity. It is
further found that the azimuthal angular positions of the hot ascending flow
near the bottom plate and the cold descending flow near the top plate oscillate
periodically out of phase by $\pi$, leading to the torsional mode of the LSC.
These oscillations are then propagated vertically along the sidewall by the hot
ascending and cold descending fluids. When they reach the mid-height plane, the
azimuthal positions of the hottest and coldest fluids again oscillate out of
phase by $\pi$. It is this out-of-phase horizontal positional oscillation of
the hottest and coldest fluids at the same horizontal plane that produces the
off-center oscillation of the LSC. A direct velocity measurement further
confirms the existence of the bulk off-center mode of the flow field near cell
center.


title: GRB 060206: hints of precession of the central engine?

abstract:
  Aims. The high-redshift (z = 4:048) gamma-ray burst GRB 060206 showed unusual
behavior, with a significant rebrightening by a factor of ~ 4 at about 3000 s
after the burst. We argue that this rebrightening implies that the central
engine became active again after the main burst produced by the first ejecta,
then drove another more collimated jet-like ejecta with a larger viewing angle.
The two ejecta both interacted with the ambient medium, giving rise to forward
shocks that propagated into the ambient medium and reverse shocks that
penetrated into the ejecta. The total emission was a combination of the
emissions from the reverse- and forward- shocked regions. We discuss how this
combined emission accounts for the observed rebrightening. Methods. We apply
numerical models to calculate the light curves from the shocked regions, which
include a forward shock originating in the first ejecta and a forward-reverse
shock for the second ejecta. Results. We find evidence that the central engine
became active again 2000 s after the main burst. The combined emission produced
by interactions of these two ejecta with the ambient medium can describe the
properties of the afterglow of this burst. We argue that the rapid rise in
brightness at ~ 3000 s in the afterglow is due to the off-axis emission from
the second ejecta. The precession of the torus or accretion disk of the central
engine is a natural explanation for the departure of the second ejecta from the
line of sight.


title: Frame and wavelet systems on the sphere

abstract:
  In this paper we formulate a weighted version of minimum problem (1.4) on the
sphere and we show that, for $K\le L$, if $\set{\phi_k}^K_{k=1}$ consists of
the spherical functions with degree less than $N$ we can localize the points
$(\xi_1,...,\xi_L)$ on the sphere so that the solution of this problem is the
simplest possible. This localization is connected to the discrete orthogonality
of the spherical functions which was proved in [3]. Using these points we
construct a frame system and a wavelet system on the sphere and we study the
properties of these systems. For $K>L$ a similar construction was made in paper
[4], but in that case the solution of the minimum problem (1.4) is not as
efficient as it is in our case. The analogue of Fej\'er and de la
Val\'ee-Poussin summation methods introduced in [3] can be expressed by the
frame system introduced in this paper.


title:
Orbital ordering in undoped manganites via a generalized Peierls
  instability

abstract:
  We study the ground state orbital ordering of $LaMnO_3$, at weak
electron-phonon coupling, when the spin state is A-type antiferromagnet. We
determine the orbital ordering by extending to our Jahn-Teller system a
recently developed Peierls instability framework for the Holstein model [1]. By
using two-dimensional dynamic response functions corresponding to a mixed
Jahn-Teller mode, we establish that the $Q_2$ mode determines the orbital
order.


title:
Theory of defect production in nonlinear quench across a quantum
  critical point

abstract:
  We study defect production in a quantum system subjected to a nonlinear power
law quench which takes it either through a quantum critical or multicritical
point or along a quantum critical line. We elaborate on our earlier work [D.
Sen, K. Sengupta, S. Mondal, \prl 101, 016806 (2008)] and present a detailed
analysis of the scaling of the defect density $n$ with the quench rate $\tau$
and exponent $\al$ for each of the above-mentioned cases. We also compute the
correlation functions for defects generated in nonlinear quenches through a
quantum critical point and discuss the dependence of the amplitudes of such
correlation functions on the exponent $\al$. We discuss several experimental
systems where these theoretical predictions can be tested.


title: The maximal number of exceptional Dehn surgeries

abstract:
  We prove two conjectures of C. Gordon. We show that the maximal number of
exceptional Dehn surgeries on a 1-cusped hyperbolic 3-manifold is 10, and that
the maximal intersection number between exceptional slopes is 8. The proof uses
a combination of new geometric techniques and a rigorous computer-assisted
calculation.


title:
Microscopic concavity and fluctuation bounds in a class of deposition
  processes

abstract:
  We prove fluctuation bounds for the particle current in totally asymmetric
zero range processes in one dimension with nondecreasing, concave jump rates
whose slope decays exponentially. Fluctuations in the characteristic directions
have order of magnitude $t^{1/3}$. This is in agreement with the expectation
that these systems lie in the same KPZ universality class as the asymmetric
simple exclusion process. The result is via a robust argument formulated for a
broad class of deposition-type processes. Besides this class of zero range
processes, hypotheses of this argument have also been verified in the authors'
earlier papers for the asymmetric simple exclusion and the constant rate zero
range processes, and are currently under development for a bricklayers process
with exponentially increasing jump rates.


title: On the Time Dependent Gross Pitaevskii- and Hartree Equation

abstract:
  We are interested in solutions $\Psi_t$ of the Schr\"odinger equation of $N$
interacting bosons under the influence of a time dependent external field,
where the range and the coupling constant of the interaction scale with $N$ in
such a way, that the interaction energy per particle stays more or less
constant. Let $\mathcal{N}^{\phi_0}$ be the particle number operator with
respect to some $\phi_0\in L^2(\mathbb{R}^3\to\mathbb{C})$. Assume that the
relative particle number of the initial wave function $N^{-1}<
\Psi_0,\mathcal{N}^{\phi_0}\Psi_0>$ converges to one as $N\to\infty$. We shall
show that we can find a $\phi_t\in L^2(\mathbb{R}^3\to\mathbb{C})$ such that
$\lim_{N\to\infty}N^{-1}< \Psi_t,\mathcal{N}^{\phi_t}\Psi_t>=1$ and that
$\phi_t$ is -- dependent of the scaling of the range of the interaction --
solution of the Gross-Pitaevskii or Hartree equation.
  We shall also show that under additional decay conditions of $\phi_t$ the
limit can be taken uniform in $t<\infty$ and that convergence of the relative
particle number implies convergence of the $k$-particle density matrices of
$\Psi_t$.


title:
Heat conductivity from molecular chaos hypothesis in locally confined
  billiard systems

abstract:
  We study the transport properties of a large class of locally confined
Hamiltonian systems, in which neighboring particles interact through hard core
elastic collisions. When these collisions become rare and the systems large, we
derive a Boltzmann-like equation for the evolution of the probability
densities. We solve this equation in the linear regime and compute the heat
conductivity from a Green-Kubo formula. The validity of our approach is
demonstated by comparing our predictions to the results of numerical
simulations performed on a new class of high-dimensional defocusing chaotic
billiards.

categories: cond-mat.stat-mech math-ph math.MP math.PR nlin.CD


title: A Pilot Survey of HI in Field Galaxies at Redshift z~0.2

abstract:
  We present the first results of a targeted survey carried out with the 305 m
Arecibo telescope to detect HI-line emission from galaxies at redshift z>0.16.
The targets, selected from the Sloan Digital Sky Survey database, are
non-interacting disk galaxies in relatively isolated fields. We present here
the HI spectra and derived HI parameters for ten objects detected in this pilot
program. All are massive disk galaxies in the redshift interval 0.17-0.25 (i.e.
2-3 Gyr look-back time), with HI masses M_HI=3-8 x 10^10 Msun and high gas mass
fractions (HI - to - stellar mass ratios ~10-30%). Our results demonstrate the
efficacy of exploiting Arecibo's large collecting area to measure the HI mass
and rotational velocity of galaxies above redshift z=0.2. In particular, this
sample includes the highest redshift detections of HI emission from individual
galaxies made to date. Extension of this pilot program will allow us to study
the HI properties of field galaxies at cosmological distances, thus
complementing ongoing radio synthesis observations of cluster samples at z~0.2.


title: Analog Grover search by adiabatic passage in a cavity-laser-atom system

abstract:
  A physical implementation of the adiabatic Grover search is theoretically
investigated in a system of N identical three-level atoms trapped in a single
mode cavity. Some of the atoms are marked through the presence of an energy gap
between their two ground states. The search is controlled by two partially
delayed lasers which allow a deterministic adiabatic transfer from an initially
entangled state to the marked states. Pulse schemes are proposed to satisfy the
Grover speedup either exactly or approximately, and the success rate of the
search is calculated.


title:
SMC in space and time: a project to study the evolution of the prototype
  interacting late-type dwarf galaxy

abstract:
  We introduce the SMC in space and time, a large coordinated space and
ground-based program to study star formation processes and history, as well as
variable stars, structure, kinematics and chemical evolution of the whole SMC.
Here, we present the Colour-Magnitude Diagrams(CMDs) resulting from HST/ACS
photometry, aimed at deriving the star formation history (SFH) in six fields of
the SMC. The fields are located in the central regions, in the stellar halo,
and in the wing toward the LMC. The CMDs are very deep, well beyond the oldest
Main Sequence Turn-Off, and will allow us to derive the SFH over the entire
Hubble time.


title: Thorough analysis of the Oseen system in 2D exterior domains

abstract:
  We construct $L_p$-estimates for the inhomogeneous Oseen system studied in a
two dimensional exterior domain $\Omega$ with inhomogeneous slip boundary
conditions. The kernel of the paper is a result for the half space
$\mathbb{R}^2_+$. Analysis of this model system shows us a parabolic character
of the studied problem, resulting as an appearance of the wake region behind
the obstacle. Main tools are given by the Fourier analysis to obtain the
maximal regularity estimates. The results imply the solvability for the
Navier-Stokes system for small velocity at infinity.


title: The GRB-Supernova Connection

abstract:
  Long-duration gamma-ray bursts (GRBs) are believed to be produced by the core
collapse of massive stars and hence to be connected with supernovae (SNe).
Indeed, for four pairs of GRBs and SNe, spectroscopically confirmed connection
has been firmly established. For more than a dozen of GRBs the SN signature
(the `red bump') has been detected in the afterglow lightcurves. Based on the
four pairs of GRBs and SNe with spectroscopically confirmed connection a tight
correlation was found between the peak spectral energy of GRBs and the peak
bolometric luminosity of the underlying SNe. The recent discovery of X-ray
flash 080109 associated with a normal core-collapse SN 2008D confirmed this
relation and extended the GRB-SN connection. Progress on the GRB-SN connection
is briefly reviewed.


title:
Manifolds with weighted Poincar\'e inequality and uniqueness of minimal
  hypersurfaces

abstract:
  In this paper, we obtain results on rigidity of complete Riemannian manifolds
with weighted Poincar\'e inequality. As an application, we prove that if $M$ is
a complete $\frac{n-2}{n}$-stable minimal hypersurface in $\mathbb{R}^{n+1}$
with $n\geq 3$ and has bounded norm of the second fundamental form, then $M$
must either have only one end or be a catenoid.


title:
Molecular Gas in NUclei of GAlaxies (NUGA). X. The Seyfert 2 galaxy NGC
  3147

abstract:
  We present CO(1-0) and CO(2-1) observations of the SA(rs)bc Seyfert 2 galaxy
NGC 3147, obtained with the IRAM interferometer at 1\farcs9 $\times$1\farcs6
and 1\farcs6 $\times$1\farcs4 resolutions, respectively. A central peak seen
mainly in CO(2-1) and a ring-like structure at $r \simeq 10$\arcsec $\sim$2 kpc
dominate the CO maps. In CO(1-0) an outer spiral at $r \simeq 20$\arcsec
$\sim$4 kpc is also detected, not visible in CO(2-1) emission because it falls
outside the field-of-view of the primary beam. The kinematics of the molecular
structures are quite regular, although there is evidence for local non-circular
or streaming motions. We show that the molecular gas distribution is similar
but not exactly identical to those of star formation tracers. Using a NIR image
obtained with adaptive optics at the CFHT Telescope, we identify a weak bar in
NGC 3147, which is classified as non-barred galaxy in the optical. We then
compute the gravity torques exerted by this stellar bar on the gas. We find
that the gas inside the inner CO ring is subject to a net negative torque and
loses angular momentum. This is expected for gas at the UHR, just inside the
corotation resonance of the stellar bar. In contrast, the gas outside
corotation, in the spiral arms comprising the outer spiral structure, suffers
positive torques and is driven outwards. We conclude that some molecular gas is
presently flowing into the central region, since we find negative torques down
to the resolution limit of our images.


title: On approximability by embeddings of cycles in the plane

abstract:
  We obtain a criterion for approximability by embeddings of piecewise linear
maps of a circle to the plane, analogous to the one proved by Minc for maps of
a segment to the plane.
  Theorem. Let S be a triangulation of a circle with s vertices. Let f be a
simplicial map of the graph S to the plane. The map f is approximable by
embeddings if and only if for each i=0,...,s the i-th derivative of the map f
(defined by Minc) neither contains transversal self-intersections nor is the
standard winding of degree greater than 1.
  We deduce from the Minc result the completeness of the van Kampen obstruction
to approximability by embeddings of piecewise linear maps of a segment to the
plane. We also generalize these criteria to simplicial maps of a graph without
vertices of degree >3 to a circle.


title: Quadrupole Stark Effect in Superfluid

abstract:
  The roton energy depends on applied electric field gradient due to its
quadrupole moment. This may explain absorption line splitting recently observed
experimentally.


title: Interpolation sequences for the Bernstein algebra

abstract:
  We give a description, in analytic and geometric terms, of the interpolation
sequences for the algebra of entire functions of exponential type which are
bounded on the real line.


title:
Restricted Open-Shell Kohn-Sham Theory IV: Expressions for N Unpaired
  Electrons

abstract:
  We present an energy expression for restricted open-shell Kohn-Sham theory
for N unpaired electrons and single-electron operators for all multiplets
formed from up to five unpaired electrons. It is shown that it is possible to
derive an explicit energy expression for all low-spin multiplets of systems
that exhibit neither radial nor cylindrical symmetry.


title:
Smoothing effects of dispersive equations on real rank one symmetric
  spaces

abstract:
  In this article we prove time-global smoothing effects of dispersive
pseudodifferential equations with constant coefficient radially symmetric
symbols on real rank one symmetric spaces of noncompact type. We also discuss
gain of regularities according to decay rates of initial values for the
Schroedinger evolution equation. We introduce some isometric operators and
reduce the arguments to the well-known Euclidean case. In our proof, Helgason's
Fourier transform and the Radon transform as an elliptic Fourier integral
operator play crucial roles.


title:
Electronic states and pairing symmetry in the two-dimensional 16 band
  d-p model for iron-based superconductor

abstract:
  The electronic states of the FeAs plane in iron-based superconductors are
investigated on the basis of the two-dimensional 16-band d-p model, where the
tight-binding parameters are determined so as to fit the band structure
obtained by the density functional calculation for LaFeAsO. The model includes
the Coulomb interaction on a Fe site: the intra- and inter-orbital direct terms
U and U', the exchange coupling J and the pair-transfer J'. Within the random
phase approximation (RPA), we discuss the pairing symmetry of possible
superconducting states including s-wave and d-wave pairing on the U'-J plane.


title: Charged membrane as a source for repulsive gravity

abstract:
  We demonstrate an alternative (with respect to the ones existing in
literature) and more habitual for physicists derivation of exact solution of
the Einstein-Maxwell equations for the motion of a charged spherical membrane
with tangential tension. We stress that the physically acceptable range of
parameters for which the static and stable state of the membrane producing the
Reissner-Nordstrom (RN) repulsive gravity effect exists. The concrete
realization of such state for the Nambu-Goto membrane is described. The point
is that membrane are able to cut out the central naked singularity region and
at the same time to join in appropriate way the RN repulsive region.
  As result we have a model of an everywhere-regular material source exhibiting
a repulsive gravitational force in the vicinity of its surface: this
construction gives a more sensible physical status to the RN solution in the
naked singularity case.


title:
A fractional diffusion equation for two-point probability distributions
  of a continuous-time random walk

abstract:
  Continuous time random walks are non-Markovian stochastic processes, which
are only partly characterized by single-time probability distributions. We
derive a closed evolution equation for joint two-point probability density
functions of a subdiffusive continuous time random walk, which can be
considered as a generalization of the known single-time fractional diffusion
equation to two-time probability distributions. The solution of this
generalized diffusion equation is given as an integral transformation of the
probability distribution of an ordinary diffusion process, where the integral
kernel is generated by an inverse L\'evy stable process. Explicit expressions
for the two time moments of a diffusion process are given, which could be
readily compared with the ones determined from experiments.


title: Dynamics of path aggregation in the presence of turnover

abstract:
  We investigate the slow time scales that arise from aging of the paths during
the process of path aggregation. This is studied using Monte-Carlo simulations
of a model aiming to describe the formation of fascicles of axons mediated by
contact axon-axon interactions. The growing axons are represented as
interacting directed random walks in two spatial dimensions. To mimic axonal
turnover, random walkers are injected and whole paths of individual walkers are
removed at specified rates. We identify several distinct time scales that
emerge from the system dynamics and can exceed the average axonal lifetime by
orders of magnitude. In the dynamical steady state, the position-dependent
distribution of fascicle sizes obeys a scaling law. We discuss our findings in
terms of an analytically tractable, effective model of fascicle dynamics.


title:
Coupling MOAO with Integral Field Spectroscopy: specifications for the
  VLT and the E-ELT

abstract:
  [Abridged] We have developed an end-to-end simulation to specify the science
requirements of a MOAO-fed integral field spectrograph on either an 8m or 42m
telescope. Our simulations re-scales observations of local galaxies or results
from numerical simulations of disk or interacting galaxies. For the current
analysis, we limit ourselves to a local disk galaxy which exhibits simple
rotation and a simulation of a merger. We have attempted to generalize our
results by introducing the simple concepts of "PSF contrast" which is the
amount of light polluting adjacent spectra which we find drives the smallest EE
at a given spatial scale. The choice of the spatial sampling is driven by the
"scale-coupling", i.e., the relationship between the IFU pixel scale and the
size of the features that need to be recovered by 3D spectroscopy in order to
understand the nature of the galaxy and its substructure. Because the dynamical
nature of galaxies are mostly reflected in their large-scale motions, a
relatively coarse spatial resolution is enough to distinguish between a
rotating disk and a major merger. Although we used a limited number of
morpho-kinematic cases, our simulations suggest that, on a 42m telescope, the
choice of an IFU pixel scale of 50-75 mas seems to be sufficient. Such a coarse
sampling has the benefit of lowering the exposure time to reach a specific
signal-to-noise as well as relaxing the performance of the MOAO system. On the
other hand, recovering the full 2D-kinematics of z~4 galaxies requires high
signal-to-noise and at least an EE of 34% in 150 mas (2 pixels of 75 mas).
Finally, we carried out a similar study at z=1.6 with a MOAO-fed spectrograph
for an 8m, and find that at least an EE of 30% at 0.25 arcsec spatial sampling
is required to understand the nature of disks and mergers.


title:
Radiation damage in biological material: electronic properties and
  electron impact ionization in urea

abstract:
  Radiation damage is an unavoidable process when performing structural
investigations of biological macromolecules with X-ray sources. In
crystallography this process can be limited through damage distribution in a
crystal, while for single molecular imaging it can be outrun by employing short
intense pulses. Secondary electron generation is crucial during damage
formation and we present a study in urea, as model for biomaterial. From first
principles we calculate the band structure and energy loss function, and
subsequently the inelastic electron cross section in urea. Using Molecular
Dynamics simulations, we quantify the damage and study the magnitude and
spatial extent of the electron cloud coming from an incident electron, as well
as the dependence with initial energy.


title: Spectral properties of interacting magnetoelectric particles

abstract:
  The linear magnetoelectric (ME) effect provides a special route for linking
magnetic and electric properties. In microwaves, a local ME effect appears due
to the dynamical symmetry breakings of magnetic-dipolar modes (MDMs) in a
ferrite disk particle. The fact that for MDMs in a ferrite disk one has evident
both classical and quantum-like attributes, puts special demands on the methods
used for study of interacting ME particles. A proper model for coupled
particles should be based on the spectral characteristics of MDM oscillations
and an analysis of the overlap integrals for interacting eigen oscillating ME
elements. In this paper, we present theoretical studies of spectral properties
of literally coupled of MDM ME disks. We show that there exists the "exchange"
mechanism of interaction between the particles, which is distinctive from the
magnetostatic interaction between magnetic dipoles. The spectral method
proposed in this paper may further the development of a theory of ME
"molecules" and realization of local ME composites.


title: Embedding products of graphs into Euclidean spaces

abstract:
  For any collection of graphs we find the minimal dimension d such that the
product of these graphs is embeddable into the d-dimensional Euclidean space.
In particular, we prove that the n-th powers of the Kuratowsky graphs are not
embeddable into the 2n-dimensional Euclidean space. This is a solution of a
problem of Menger from 1929. The idea of the proof is the reduction to a
problem from so-called Ramsey link theory: we show that any embedding of L into
the (2n-1)-dimensional sphere, where L is the join of n copies of a 4-point
set, has a pair of linked (n-1)-dimensional spheres.


title:
Observation of the 5p Rydberg states of sulfur difluoride radical by
  resonance-enhanced multiphoton ionization spectroscopy

abstract:
  Sulfur difluoride radicals in their ground state have been produced by a
"laser-free" pulsed dc discharge of the SF$_{6}$/Ar gas mixtures in a
supersonic molecular beam and detected by mass-selective resonance-enhanced
multilphoton ionization (REMPI) spectroscopy in the wavelength range of 408 -
420 nm. Analyses of the (3 + 1) REMPI excitation spectrum have enabled
identification of three hitherto unknown Rydberg states of this radical.
Following the Rydberg state labeling in our previous work [see J. Phys. Chem. A
102, 7233 (1998)], these we label the K(5p$_{1}$) [$nu_{0-0}$ = 71 837
cm$^{-1}$, $omega_{1}^{'}$(a$_{1}$ sym str) = 915 cm$^{-1}$], L(5p$_{2}$)
[$nu_{0-0}$ = 72 134 cm$^{-1}$, $omega_{1}^{'}$(a$_{1}$ sym str) = 912
cm$^{-1}$], and M(5p$_{3}$) [$nu_{0-0}$ = 72 336 cm$^{-1}$,
$omega_{1}^{'}$(a$_{1}$ sym str) = 926 cm$^{-1}$] Rydberg states, respectively.
[Origins, relative to the lowest vibrational level of the X$^{1}$A$_{1}$ ground
state, and vibrational frequencies of the symmetric S-F stretching mode are
suggested by the numbers in brackets.] Photofragmentation process of
SF$_{2}$$^{+}$--SF$^{+}$ + F that relates to the REMPI spectrum was discussed.


title: Balanced Hermitian metrics from SU(2)-structures

abstract:
  We study the intrinsic geometrical structure of hypersurfaces in 6-manifolds
carrying a balanced Hermitian SU(3)-structure, which we call {\em balanced}
SU(2)-{\em structures}. We provide conditions which imply that such a
5-manifold can be isometrically embedded as a hypersurface in a manifold with a
balanced SU(3)-structure. We show that any 5-dimensional compact nilmanifold
has an invariant balanced SU(2)-structure as well as new examples of balanced
Hermitian SU(3)-metrics constructed from balanced SU(2)-structures. Moreover,
for $n=3,4$, we present examples of compact manifolds, endowed with a balanced
SU(n)-structure, such that the corresponding Bismut connection has holonomy
equal to SU(n).


title: Equidistribution of the Fekete points on the sphere

abstract:
  The Fekete points are the points that maximize a Vandermonde-type determinant
that appears in the polynomial Lagrange interpolation formula. They are well
suited points for interpolation formulas and numerical integration. We prove
the asymptotic equidistribution of the Fekete points in the sphere. The way we
proceed is by showing their connection with other array of points, the
Marcinkiewicz-Zygmund arrays and the interpolating arrays, that have been
studied recently.


title: Hydrogen/silicon complexes in silicon from computational searches

abstract:
  Defects in crystalline silicon consisting of a silicon self-interstitial atom
and one, two, three, or four hydrogen atoms are studied within
density-functional theory (DFT). We search for low-energy defects by starting
from an ensemble of structures in which the atomic positions in the defect
region have been randomized. We then relax each structure to a minimum in the
energy. We find a new defect consisting of a self-interstitial and one hydrogen
atom (denoted by {I,H}) which has a higher symmetry and a lower energy than
previously reported structures. We recover the {I,H_2} defect found in previous
studies and confirm that it is the most stable such defect. Our best {I,H_3}
defect has a slightly different structure and lower energy than the one
previously reported, and our lowest energy {I,H_4} defect is different to those
of previous studies.


title: The cohomology of lattices in SL(2,C)

abstract:
  This paper contains both theoretical results and experimental data on the
behavior of the dimensions of the cohomology spaces H^1(G,E_n), where Gamma is
a lattice in SL(2,C) and E_n is one of the standard self-dual modules. In the
case Gamma = SL(2,O) for the ring of integers O in an imaginary quadratic
number field, we make the theory of lifting explicit and obtain lower bounds
linear in n. We have accumulated a large amount of experimental data in this
case, as well as for some geometrically constructed and mostly non-arithmetic
groups. The computations for SL(2,O) lead us to discover two instances with
non-lifted classes in the cohomology. We also derive an upper bound of size
O(n^2 / log n) for any fixed lattice Gamma in the general case. We discuss a
number of new questions and conjectures suggested by our results and our
experimental data.


title:
On the General Nature of Physical Objects and their Interactions, as
  Suggested by the Properties of Argumentally-Coupled Oscillating Systems

abstract:
  The work reported here originates in the discovery, four decades ago, of a
previously unknown type of self-organizing interaction among oscillating
systems -- so-called argumental interactions -- and of "quantized" modes of
behavior in macroscopic argumentally-coupled oscillators, having no equivalent
in the classical theory of oscillations. Recently the present authors have been
jointly pursuing new lines of investigation into argumental interactions and
their possible significance for the foundations of physics. Among other things,
the study of argumentally-coupled oscillators suggested to the authors a new
general way of looking at physical objects, their interactions and their
aggregative,"social" behavior as manifested on all scales of observation. We
believe this new viewpoint, which differs significantly both from that of
classical physics and from quantum theory as presently understood, might lead
to a more coherent understanding of many natural phenomena which until now have
been studied only in a piecemeal fashion. To make the authors' train of thought
intelligible to the reader not familiar with the field of argumental
interactions, we have combined the presentation of our ideas with an extended
review of experimental and theoretical results on argumentally-coupled
oscillators and the associated "Macroscopic Quantization Effect". Our review
serves the additional purpose of introducing this little-known, but most
interesting field of research to a broader scientific audience.


title: Abrahamse's interpolation theorem and Fuchsian groups

abstract:
  We generalize Abrahamse's interpolation theorem from the setting of a
multiply connected domain to that of a more general Riemann surface. Our main
result provides the scalar-valued interpolation theorem for the fixed-point
subalgebra of $H^\infty$ associated to the action of a Fuchsian group. We rely
on two results from a paper of Forelli. This allows us to prove the
interpolation result using duality techniques that parallel Sarason's approach
to the interpolation problem for $H^\infty$. In this process we prove a more
general distance formula, very much like Nehari's theorem, and obtain relations
between the kernel function for the character automorphic Hardy spaces and the
Szeg\"o kernel for the disk. Finally, we examine our interpolation results in
the context of the two simplest examples of Fuchsian groups acting on the disk.


title:
Optimally Efficient Prefix Search and Multicast in Structured P2P
  Networks

abstract:
  Searching in P2P networks is fundamental to all overlay networks.
  P2P networks based on Distributed Hash Tables (DHT) are optimized for single
key lookups, whereas unstructured networks offer more complex queries at the
cost of increased traffic and uncertain success rates. Our Distributed Tree
Construction (DTC) approach enables structured P2P networks to perform prefix
search, range queries, and multicast in an optimal way. It achieves this by
creating a spanning tree over the peers in the search area, using only
information available locally on each peer. Because DTC creates a spanning
tree, it can query all the peers in the search area with a minimal number of
messages. Furthermore, we show that the tree depth has the same upper bound as
a regular DHT lookup which in turn guarantees fast and responsive runtime
behavior. By placing objects with a region quadtree, we can perform a prefix
search or a range query in a freely selectable area of the DHT. Our DTC
algorithm is DHT-agnostic and works with most existing DHTs. We evaluate the
performance of DTC over several DHTs by comparing the performance to existing
application-level multicast solutions, we show that DTC sends 30-250% fewer
messages than common solutions.


title: Physics of collisionless phase mixing

abstract:
  Previous studies of phase mixing of ion cyclotron (IC), Alfv\'enic, waves in
the collisionless regime have established the generation of parallel electric
field and hence acceleration of electrons in the regions of transverse density
inhomogeneity. However, outstanding issues were left open. Here we use 2.5D,
relativistic, fully electromagnetic PIC (Particle-In-Cell) code and an analytic
MHD (Magnetohydrodynamic) formulation, to establish the following points: (i)
Using the generalised Ohm's law we find that the parallel electric field is
supported mostly by the electron pressure tensor, with a smaller contribution
from the electron inertia term. (ii) The generated parallel electric field and
the fraction of accelerated electrons are independent of the IC wave frequency
remaining at a level of six orders of magnitude larger than the Dreicer value
and approximately 20% respectively. The generated parallel electric field and
the fraction of accelerated electrons increase with the increase of IC wave
amplitude. The generated parallel electric field seems to be independent of
plasma beta, while the fraction of accelerated electrons strongly increases
with the decrease of plasma beta (for plasma beta of 0.0001 the fraction of
accelerated electrons can be as large as 47%). (iii) In the collisionless
regime IC wave dissipation length (that is defined as the distance over which
the wave damps) variation with the driving frequency shows a deviation from the
analytical MHD result, which we attribute to a possible frequency dependence of
the effective resistivity. (iv) Effective anomalous resistivity, inferred from
our numerical simulations, is at least four orders of magnitude larger than the
classical Spitzer value.


title: On the Pontryagin-Steenrod-Wu theorem

abstract:
  This paper is on homotopy classification of maps of (n+1)-dimensional
manifolds into the n-dimensional sphere. For a continuous map f of an
(n+1)-manifold into the n-sphere define the degree deg f to be the class dual
to f^*[S^n], where [S^n] is the fundamental class. We present a short and
direct proof of the following specific case of the Pontryagin-Steenrod-Wu
theorem:
  Theorem. Let M be a connected orientable closed smooth (n+1)-manifold, n>2.
Then the map deg:\pi^n(M)\to H_1(M;Z) is
  1-to-1 (i.e., bijective), if the product w_2(M) x r_2 H_2(M;Z) is nonzero,
where r_2 is the mod2 reduction;
  2-to-1 (i.e., each element of H_1(M;Z) has exactly 2 preimages) - otherwise.
  The proof is based on the Pontryagin-Thom construction and a geometric
definition of the Stiefel-Whitney classes w_2(M).


title: Improving Wang-Landau sampling with adaptive windows

abstract:
  Wang-Landau sampling (WLS) of large systems requires dividing the energy
range into "windows" and joining the results of simulations in each window. The
resulting density of states (and associated thermodynamic functions) are shown
to suffer from boundary effects in simulations of lattice polymers and the
five-state Potts model. Here, we implement WLS using adaptive windows. Instead
of defining fixed energy windows (or windows in the energy-magnetization plane
for the Potts model), the boundary positions depend on the set of energy values
on which the histogram is flat at a given stage of the simulation. Shifting the
windows each time the modification factor f is reduced, we eliminate border
effects that arise in simulations using fixed windows. Adaptive windows extend
significantly the range of system sizes that may be studied reliably using WLS.


title: Commonsense Knowledge, Ontology and Ordinary Language

abstract:
  Over two decades ago a "quite revolution" overwhelmingly replaced
knowledgebased approaches in natural language processing (NLP) by quantitative
(e.g., statistical, corpus-based, machine learning) methods. Although it is our
firm belief that purely quantitative approaches cannot be the only paradigm for
NLP, dissatisfaction with purely engineering approaches to the construction of
large knowledge bases for NLP are somewhat justified. In this paper we hope to
demonstrate that both trends are partly misguided and that the time has come to
enrich logical semantics with an ontological structure that reflects our
commonsense view of the world and the way we talk about in ordinary language.
In this paper it will be demonstrated that assuming such an ontological
structure a number of challenges in the semantics of natural language (e.g.,
metonymy, intensionality, copredication, nominal compounds, etc.) can be
properly and uniformly addressed.


title:
Gravity in the 3+1-Split Formalism I: Holography as an Initial Value
  Problem

abstract:
  We present a detailed analysis of the 3+1-split formalism of gravity in the
presence of a cosmological constant. The formalism helps revealing the intimate
connection between holography and the initial value formulation of gravity. We
show that the various methods of holographic subtraction of divergences
correspond just to different transformations of the canonical variables, such
that the initial value problem is properly set up at the boundary. The
renormalized boundary energy momentum tensor is a component of the Weyl tensor.


title:
Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of
  the Gravitational Chern-Simons in the Boundary

abstract:
  We study self-duality in the context of the 3+1-split formalism of gravity
with non-zero cosmological constant. Lorentzian self-dual configurations are
conformally flat spacetimes and have boundary data determined by classical
solutions of the three-dimensional gravitational Chern-Simons. For Euclidean
self-dual configurations, the relationship between their boundary initial
positions and initial velocity is also determined by the three-dimensional
gravitational Chern-Simons. Our results imply that bulk self-dual
configurations are holographically described by the gravitational Chern-Simons
theory which can either viewed as a boundary generating functional or as a
boundary effective action.


title:
Investigation of the kinetic equation of cascade fragmentation theory at
  not self-similar subdivision

abstract:
  The cascade kinetic fragmentation process of solids is investigated when the
condition probability density of splinter formation do not depends on time and
has the property $P(\rho, r, t) = P(\rho/r)$. It is obtained the evolution
equation for the probability distribution density in terms of its Mellin
transformation. In the particular case $P(\rho/r) = C (\rho/r)^\alpha$, the
limit solution of this equation at $t \to \infty$ is found. It differs
essentially from the Kolmogorov law.


title: A Formal Foundation for XrML

abstract:
  XrML is becoming a popular language in industry for writing software
licenses. The semantics for XrML is implicitly given by an algorithm that
determines if a permission follows from a set of licenses. We focus on a
fragment of the language and use it to highlight some problematic aspects of
the algorithm. We then correct the problems, introduce formal semantics, and
show that our semantics captures the (corrected) algorithm. Next, we consider
the complexity of determining if a permission is implied by a set of XrML
licenses. We prove that the general problem is undecidable, but it is
polynomial-time computable for an expressive fragment of the language. We
extend XrML to capture a wider range of licenses by adding negation to the
language. Finally, we discuss the key differences between XrML and MPEG-21, an
international standard based on XrML.


title:
On the mean square of the error term for the two-dimensional divisor
  problems(II)

abstract:
  Let $\Delta(a,b;x)$ denote the error term of the general two-dimensional
divisor problem. In this paper we shall study the relation between the discrete
mean value $\sum_{n\leq T}\Delta^2(a,b;n)$ and the continuous mean value
$\int_1^T\Delta^2(a,b;x)dx$.


title: A short proof of the Twelve points theorem

abstract:
  We present a short elementary proof of the following Twelve Points Theorem:
  Let M be a convex polygon with vertices at the lattice points, containing a
single lattice point in its interior. Denote by m (resp. m*) the number of
lattice points in the boundary of M (resp. in the boundary of the dual
polygon). Then m+m*=12.


title:
Resonant Excitation of Disk Oscillations in Deformed Disks III: Revision
  of Mathematical Treatment

abstract:
  In previous studies, we have examined a resonant excitation of disk
oscillations in deformed disks. In these studies, however, mathematical
treatment around the resonant points was not rigorous. In this paper the
inadequate point is corrected, with no essential changes in the final results.
For this excitation process to work, disks must be general relativistic. That
is, the non-monotonic radial distribution of epicyclic frequency in
relativistic disks is essential for the presence of the resonance and for
trapping of oscillations. In this paper, the growth rate of resonant
oscillations is expressed in a form more suitable for numerical calculations.


title: Teichm\"uller's problem in space

abstract:
  Quasiconformal homeomorphisms of the whole space Rn, onto itself normalized
at one or two points are studied. In particular, the stability theory, the case
when the maximal dilatation tends to 1, is in the focus. Our main result
provides a spatial analogue of a classical result due to Teichm\"uller. Unlike
Teichm\"uller's result, our bounds are explicit. Explicit bounds are based on
two sharp well-known distortion results: the quasiconformal Schwarz lemma and
the bound for linear dilatation. Moreover, Bernoulli type inequalities and
asymptotically sharp bounds for special functions involving complete elliptic
integrals are applied to simplify the computations. Finally, we discuss the
behavior of the quasihyperbolic metric under quasiconformal maps and prove a
sharp result for quasiconformal maps of R^n \ {0} onto itself.


title: Heavy hadron spectroscopy and the bag model

abstract:
  Some time ago a slightly improved variant of bag model (the modified bag
model) suitable for the unified description of light and heavy hadrons was
developed. The main goal of the present work was to calculate the masses of the
ground state baryons containing bottom quarks in the framework of this model.
For completeness the predictions for other heavy hadrons are also given. The
reasonable agreement of our results with other theoretical calculations and
available experimental data suggests that our predictions could serve as a
useful complementary tool for the interpretation of heavy hadron spectra.


title: Neutral Current induced $\pi^0$ production and neutrino magnetic moment

abstract:
  We have studied the total cross section, $Q^2$, momentum and angular
distributions for pions in the $\nu$($\bar \nu$) induced $\pi^0$ production
from nucleons. The calculations have been done for the weak production induced
by the neutral current in the standard model and the electromagnetic production
induced by neutrino magnetic moment. It has been found that with the present
experimental limits on the muon neutrino magnetic moment $\mu_{\nu_\mu}$, the
electromagnetic contribution to the cross section for the $\pi^0$ production is
small. The neutrino induced neutral current production of $\pi^{0}$, while
giving an alternative method to study the magnetic moment of neutrino
$\mu_{\nu_\mu}$, does not provide any improvement over the present experimental
limit on $\mu_{\nu_\mu}$ from the observation of this process in future
experiments at T2K and NO$\nu$A.


title:
Atmospheric pressure graphitization of SiC(0001)- A route towards
  wafer-size graphene layers

abstract:
  We have investigated epitaxial graphene films grown on SiC(0001) by annealing
in an atmosphere of Ar instead of vacuum. Using AFM and LEEM we observe a
significantly improved surface morphology and graphene domain size. Hall
measurements on monolayer graphene films show a carrier mobility of around 1000
cm^2/Vs at room temperature and 2000 cm^2/Vs at 27K. The growth process
introduced here establishes the synthesis of graphene films on a
technologically viable basis.


title:
Constraints and gauge transformations: Dirac's theorem is not always
  valid

abstract:
  A standard tenet of canonical quantum gravity is that evolution generated by
a Hamiltonian constraint is just a gauge transformation on the phase space and
therefore does not change the physical state. The basis for this belief is a
theorem of Dirac that identifies primary first-class constraints as generators
of physically irrelevant motions. We point out that certain assumptions on
which Dirac based his argument do not hold for reparametrization invariant
systems, and show that the primary Hamiltonian constraint of these systems does
generate physical motion. We show explicitly how the argument fails for systems
described by Jacobi's principle, which has a structure closely resembling that
of general relativity. We defer discussion of general relativity and the
implications for quantum gravity to a later paper.


title:
Comment on: Failure of the Work-Hamiltonian Connection for Free-Energy
  Calculations [Phys Rev Lett 100, 020601 (2008), arXiv:0704.0761]

abstract: We comment on a Letter by Vilar and Rubi [arXiv:0704.0761].


title:
Optics-less smart sensors and a possible mechanism of cutaneous vision
  in nature

abstract:
  Optics-less cutaneous (skin) vision is not rare among living organisms,
though its mechanisms and capabilities have not been thoroughly investigated.
This paper demonstrates, using methods from statistical parameter estimation
theory and numerical simulations, that an array of bare sensors with a natural
cosine-law angular sensitivity arranged on a flat or curved surface has the
ability to perform imaging tasks without any optics at all. The working
principle of this type of optics-less sensor and the model developed here for
determining sensor performance may be used to shed light upon possible
mechanisms and capabilities of cutaneous vision in nature.


title: On the incidence-prevalence relation and length-biased sampling

abstract:
  For many diseases, logistic and other constraints often render large
incidence studies difficult, if not impossible, to carry out. This becomes a
drawback, particularly when a new incidence study is needed each time the
disease incidence rate is investigated in a different population. However, by
carrying out a prevalent cohort study with follow-up it is possible to estimate
the incidence rate if it is constant. In this paper we derive the maximum
likelihood estimator (MLE) of the overall incidence rate, $\lambda$, as well as
age-specific incidence rates, by exploiting the well known epidemiologic
relationship, prevalence = incidence $\times$ mean duration ($P = \lambda
\times \mu$). We establish the asymptotic distributions of the MLEs, provide
approximate confidence intervals for the parameters, and point out that the MLE
of $\lambda$ is asymptotically most efficient. Moreover, the MLE of $\lambda$
is the natural estimator obtained by substituting the marginal maximum
likelihood estimators for P and $\mu$, respectively, in the expression $P =
\lambda \times \mu$. Our work is related to that of Keiding (1991, 2006), who,
using a Markov process model, proposed estimators for the incidence rate from a
prevalent cohort study \emph{without} follow-up, under three different
scenarios. However, each scenario requires assumptions that are both disease
specific and depend on the availability of epidemiologic data at the population
level. With follow-up, we are able to remove these restrictions, and our
results apply in a wide range of circumstances. We apply our methods to data
collected as part of the Canadian Study of Health and Ageing to estimate the
incidence rate of dementia amongst elderly Canadians.


title:
A Semi-Analytic Model for the Co-evolution of Galaxies, Black Holes, and
  Active Galactic Nuclei

abstract:
  We present a new semi-analytic model that self-consistently traces the growth
of supermassive black holes (BH) and their host galaxies within the context of
the LCDM cosmological framework. In our model, the energy emitted by accreting
black holes regulates the growth of the black holes themselves, drives galactic
scale winds that can remove cold gas from galaxies, and produces powerful jets
that heat the hot gas atmospheres surrounding groups and clusters. We present a
comprehensive comparison of our model predictions with observational
measurements of key physical properties of low-redshift galaxies, such as cold
gas fractions, stellar metallicities and ages, and specific star formation
rates. We find that our new models successfully reproduce the exponential
cutoff in the stellar mass function and the stellar and cold gas mass densities
at z~0, and predict that star formation should be largely, but not entirely,
quenched in massive galaxies at the present day. We also find that our model of
self-regulated BH growth naturally reproduces the observed relation between BH
mass and bulge mass. We explore the global formation history of galaxies in our
models, presenting predictions for the cosmic histories of star formation,
stellar mass assembly, cold gas, and metals. We find that models assuming the
"concordance" LCDM cosmology overproduce star formation and stellar mass at
high redshift (z>2). A model with less small-scale power predicts less star
formation at high redshift, and excellent agreement with the observed stellar
mass assembly history, but may have difficulty accounting for the cold gas in
quasar absorption systems at high redshift (z~3-4).


title:
Similar Sublattices and Coincidence Rotations of the Root Lattice A4 and
  its Dual

abstract:
  A natural way to describe the Penrose tiling employs the projection method on
the basis of the root lattice A4 or its dual. Properties of these lattices are
thus related to properties of the Penrose tiling. Moreover, the root lattice A4
appears in various other contexts such as sphere packings, efficient coding
schemes and lattice quantizers.
  Here, the lattice A4 is considered within the icosian ring, whose rich
arithmetic structure leads to parametrisations of the similar sublattices and
the coincidence rotations of A4 and its dual lattice. These parametrisations,
both in terms of a single icosian, imply an index formula for the corresponding
sublattices. The results are encapsulated in Dirichlet series generating
functions. For every index, they provide the number of distinct similar
sublattices as well as the number of coincidence rotations of A4 and its dual.


title:
Simulation of Growth of Graded Bandgap Solid Solutions of GaAsxP1-x at
  Liquid Phase Electroepitaxy

abstract:
  The possibility of the composition control of the GaAs1-xPx solid solution on
the GaAs substrate at liquid phase electroepitaxy from the Ga-As-P
solution-melt is theoretically considered. By the simulation it was determined,
that under steady-state conditions specifying such parameters of the process as
the temperature and/or the thickness of the growth space it is possible to
obtain graded bandgap layers of the GaAs1-xPx solid solution with increasing of
the content of P towards the surface of the layer that possess the composition
gradient from 0.5x10-4 mole fraction/nm to 2.0x10-3 mole fraction/nm. It was
also shown that control of the composition of ternary solid solutions at liquid
phase electroepitaxy can be realized by use of unsteady state electric field.


title: Range Corrections to Three-Body Observables near a Feshbach Resonance

abstract:
  A non-relativistic system of three identical particles will display a rich
set of universal features known as Efimov physics if the scattering length a is
much larger than the range l of the underlying two-body interaction. An
appropriate effective theory facilitates the derivation of both results in the
|a| goes to infinity limit and finite-l/a corrections to observables of
interest. Here we use such an effective-theory treatment to consider the impact
of corrections linear in the two-body effective range, r_s on the three-boson
bound-state spectrum and recombination rate for |a| much greater than |r_s|. We
do this by first deriving results appropriate to the strict limit |a| goes to
infinity in coordinate space. We then extend these results to finite a using
once-subtracted momentum-space integral equations. We also discuss the
implications of our results for experiments that probe three-body recombination
in Bose-Einstein condensates near a Feshbach resonance.


title:
A determination of parton distributions with faithful uncertainty
  estimation

abstract:
  We present the determination of a set of parton distributions of the nucleon,
at next-to-leading order, from a global set of deep-inelastic scattering data:
NNPDF1.0. The determination is based on a Monte Carlo approach, with neural
networks used as unbiased interpolants. This method, previously discussed by us
and applied to a determination of the nonsinglet quark distribution, is
designed to provide a faithful and statistically sound representation of the
uncertainty on parton distributions. We discuss our dataset, its statistical
features, and its Monte Carlo representation. We summarize the technique used
to solve the evolution equations and its benchmarking, and the method used to
compute physical observables. We discuss the parametrization and fitting of
neural networks, and the algorithm used to determine the optimal fit. We
finally present our set of parton distributions. We discuss its statistical
properties, test for its stability upon various modifications of the fitting
procedure, and compare it to other recent parton sets. We use it to compute the
benchmark W and Z cross sections at the LHC. We discuss issues of delivery and
interfacing to commonly used packages such as LHAPDF.


title: An algorithm for the unit group of the Burnside ring of a finite group

abstract:
  In this note we present an algorithm for the construction of the unit group
of the Burnside ring $\Omega(G)$ of a finite group $G$ from a list of
representatives of the conjugacy classes of subgroups of G.


title:
Mechanism of thermal renaturation and hybridization of nucleic acids:
  Kramers process and universality in Watson-Crick base pairing

abstract:
  Renaturation and hybridization reactions lead to the pairing of complementary
single-stranded nucleic acids. We present here a theoretical investigation of
the mechanism of these reactions in vitro under thermal conditions (dilute
solutions of single-stranded chains, in the presence of molar concentrations of
monovalent salts and at elevated temperatures). The mechanism follows a
Kramers' process, whereby the complementary chains overcome a potential barrier
through Brownian motion. The barrier originates from a single rate-limiting
nucleation event in which the first complementary base pairs are formed. The
reaction then proceeds through a fast growth of the double helix. For the DNA
of bacteriophages T7, T4 and $\phi$X174 as well as for Escherichia coli DNA,
the bimolecular rate $k_2$ of the reaction increases as a power law of the
average degree of polymerization $<N>$ of the reacting single- strands: $k_2
\prop <N>^\alpha$. This relationship holds for $100 \leq <N> \leq 50 000$ with
an experimentally determined exponent $\alpha = 0.51 \pm 0.01$. The length
dependence results from a thermodynamic excluded-volume effect. The reacting
single-stranded chains are predicted to be in universal good solvent
conditions, and the scaling law is determined by the relevant equilibrium
monomer contact probability. The value theoretically predicted for the exponent
is $\alpha = 1-\nu \theta_2$, where $\nu$ is Flory's swelling exponent ($nu
approx 0.588$) and $\theta_2$ is a critical exponent introduced by des
Cloizeaux ($\theta_2 \approx 0.82$), yielding $\alpha = 0.52 \pm 0.01$, in
agreement with the experimental results.


title: Valley splitting in Si quantum dots embedded in SiGe

abstract:
  We examine energy spectra of Si quantum dots embedded into Si_{0.75}Ge_{0.25}
buffers using atomistic numerical calculations for dimensions relevant to qubit
implementations. The valley degeneracy of the lowest orbital state is lifted
and valley splitting fluctuates with monolayer frequency as a function of the
dot thickness. For dot thicknesses <6 nm valley splitting is found to be >150
ueV. Using the unique advantage of atomistic calculations we analyze the effect
of buffer disorder on valley splitting. Disorder in the buffer leads to the
suppression of valley splitting by a factor of 2.5, the splitting fluctuates
with ~20 ueV for different disorder realizations. Through these simulations we
can guide future experiments into regions of low device-to-device fluctuations.


title: Hodographic Vortices

abstract:
  Vortices are screw phase dislocations associated with helicoidal wave-fronts.
In nonlinear optics, vortices arise as singular solutions to the
phase-intensity equations of geometric optics. They exist for a general class
of nonlinear response functions. In this sense, vortices possess a universal
character. Analysis of geometric optics equations on the hodograph plane leads
to deformed vortex type solutions that are sensitive to the form of the
nonlinearity. The case of a Kerr type nonlinear response is discussed as a
specific example.


title: The beginning of cosmic ray astronomy

abstract:
  We discuss the anisotropic arrival directions of the ultra high energy cosmic
rays detected by Auger which I consider one of the biggest discoverie in
astrophysics during the last year.


title:
Energy dependence of particle ratio fluctuations in central Pb+Pb
  collisions from $\sqrt{s_{_{NN}}} =$~6.3 to 17.3 GeV

abstract:
  We present measurements of the energy dependence of event-by-event
fluctuations in the K/pi and (p + \bar{p})/pi multiplicity ratios in heavy ion
collisions at the CERN SPS. The particle ratio fluctuations were obtained for
central Pb+Pb collisions at five collision energies, \sqrt{s_{_{NN}}}, between
6.3 and 17.3 GeV. After accounting for the effects of finite-number statistics
and detector resolution, we extract the strength of non-statistical
fluctuations at each energy. For the K/pi ratio, larger fluctuations than
expected for independent particle production are found at all collision
energies. The fluctuations in the (p + \bar{p})/pi ratio are smaller than
expectations from independent particle production, indicating correlated pion
and proton production from resonance decays. For both ratios, the deviation
from purely statistical fluctuations shows an increase towards lower collision
energies. The results are compared to transport model calculations, which fail
to describe the energy dependence of the K/pi ratio fluctuations.


title: Dynamics Groups of Asynchronous Cellular Automata

abstract:
  We say that a finite asynchronous cellular automaton (or more generally, any
sequential dynamical system) is pi-independent if its set of periodic points
are independent of the order that the local functions are applied. In this
case, the local functions permute the periodic points, and these permutations
generate the dynamics group. We have previously shown that exactly 104 of the
possible 256 cellular automaton rules are pi-independent. In this article, we
classify the periodic states of these systems and describe their dynamics
groups, which are quotients of Coxeter groups. The dynamics groups provide
information about permissible dynamics as a function of update sequence and, as
such, connect discrete dynamical systems, group theory, and algebraic
combinatorics in a new and interesting way. We conclude with a discussion of
numerous open problems and directions for future research.


title: Homology and finiteness properties of SL_2(Z[t,t^{-1}])

abstract:
  We show that the group $H_2(\slzti;\zz)$ is not finitely generated, answering
a question mentioned by Bux and Wortman in \cite{bux}.


title:
Transmission spectra of Fe/MgO (001) double-barrier tunnel junctions at
  finite bias

abstract:
  In this contribution, we calculate in a self-consistent way the ballistic
transmission as a function of energy of one Fe/MgO (001) single-barrier and one
double-barrier tunnel junction, relating them to their electronic structure.
The transmission spectra of each kind of junction is calculated at different
applied bias voltages. We focus on the impact that bias has on the resonant
tunneling mediated by surface and quantum well states. The calculations are
done in the coherent regime, using a combination of density functional theory
and non-equilibrium Green's functions, as implemented in the {\it ab initio}
code {\it SMEAGOL}. We conclude that, for both kinds of junction, the
transmission functions depend on the applied bias voltage. In the
single-barrier junction, transport mediated by resonant Fe minority surface
states is rapidly destroyed by bias. In the double-barrier junction, the
appearance of resonant tunneling through majority quantum well states is
strongly affected by bias.


title: Non-Hermitian spectra and Anderson localization

abstract:
  The spectrum of exponents of the transfer matrix provides the localization
lengths of Anderson's model for a particle in a lattice with disordered
potential. I show that a duality identity for determinants and Jensen's
identity for subharmonic functions, give a formula for the spectrum in terms of
eigenvalues of the Hamiltonian with non-Hermitian boundary conditions. The
formula is exact; it involves an average over a Bloch phase, rather than
disorder. A preliminary investigation of non-Hermitian spectra of Anderson's
model in D=1,2 and on the smallest exponent is presented.


title:
Contact interactions in low scale string models with intersecting
  $D6$-branes

abstract:
  We evaluate the tree level four fermion string amplitudes in the TeV string
mass scale models with intersecting $D6$-branes. The coefficient functions of
contact interactions subsuming the contributions of string Regge resonance and
winding mode excitations are obtained by subtracting out the contributions from
the string massless and massive momentum modes. Numerical applications are
developed for the Standard Model like solution of Cremades, Ibanez, and
Marchesano for a toroidal orientifold with four intersecting $D6$-brane stacks.
The chirality conserving contact interactions of the quarks and leptons are
considered in applications to high energy collider and flavor changing neutral
current phenomenology. The two main free parameters consist of the string and
compactification mass scales, $ m_s$ and $ M_c$. Useful constraints on these
parameters are derived from predictions for the Bhabha scattering differential
cross section and for the observables associated to the mass shifts of the
neutral meson systems $ K-\bar K, B-\bar B, D-\bar D$ and the lepton number
violating three-body leptonic decays of the charged leptons $\mu $ and $ \tau
$.


title: Pion in the Holographic Model with 5D Yang-Mills Fields

abstract:
  We study pion in the holographic model of Hirn and Sanz which contains two
Yang-Mills fields defined in the background of the sliced AdS space. The
infrared boundary conditions imposed on these fields generate the spontaneous
breaking of the chiral symmetry down to its vector subgroup. Within the
framework of this model, we get an analytic expression for the pion form factor
and a compact result for its radius. We also extend the holographic model to
include Chern-Simons term which is required to reproduce the appropriate axial
anomaly of QCD. As a result, we calculate the anomalous form factor of the pion
and predict its Q^2-slope for the kinematics when one of the photons is almost
on-shell. We also observe that the anomalous form factor with one real and one
virtual photon is given by the same analytic expression as the electromagnetic
form factor of a charged pion. One of the advantages of the present model is
that it does not require an infrared boundary counterterm to correctly
reproduce the anomaly of QCD.


title: Tilings, Chern-Simons Theories and M2 Branes

abstract:
  A new infinite class of Chern-Simons theories is presented using brane
tilings. The new class reproduces all known cases so far and introduces many
new models that are dual to M2 brane theories which probe a toric non-compact
CY 4-fold. The master space of the quiver theory is used as a tool to construct
the moduli space for this class and the Hilbert Series is computed for a
selected set of examples.


title:
Bohmian trajectories and the Path Integral Paradigm. Complexified
  Lagrangian Mechanics

abstract:
  David Bohm shown that the Schr{\"o}dinger equation, that is a "visiting card"
of quantum mechanics, can be decomposed onto two equations for real functions -
action and probability density. The first equation is the Hamilton-Jacobi (HJ)
equation, a "visiting card" of classical mechanics, to be modified by the
Bohmian quantum potential. And the second is the continuity equation. The
latter can be transformed to the entropy balance equation. The Bohmian quantum
potential is transformed to two Bohmian quantum correctors. The first corrector
modifies kinetic energy term of the HJ equation, and the second one modifies
potential energy term. Unification of the quantum HJ equation and the entropy
balance equation gives complexified HJ equation containing complex kinetic and
potential terms. Imaginary parts of these terms have order of smallness about
the Planck constant. The Bohmian quantum corrector is indispensable term
modifying the Feynman's path integral by expanding coordinates and momenta to
imaginary sector.


title: Minimum Dissatisfaction Personnel Scheduling

abstract:
  In this paper we consider two problems regarding the scheduling of available
personnel in order to perform a given quantity of work, which can be
arbitrarily decomposed into a sequence of activities. We are interested in
schedules which minimize the overall dissatisfaction, where each employee's
dissatisfaction is modeled as a time-dependent linear function. For the two
situations considered we provide a detailed mathematical analysis, as well as
efficient algorithms for determining optimal schedules.


title: Self-Motions of General 3-RPR Planar Parallel Robots

abstract:
  This paper studies the kinematic geometry of general 3-RPR planar parallel
robots with actuated base joints. These robots, while largely overlooked, have
simple direct kinematics and large singularity-free workspace. Furthermore,
their kinematic geometry is the same as that of a newly developed parallel
robot with SCARA-type motions. Starting from the direct and inverse kinematic
model, the expressions for the singularity loci of 3-RPR planar parallel robots
are determined. Then, the global behaviour at all singularities is
geometrically described by studying the degeneracy of the direct kinematic
model. Special cases of self-motions are then examined and the degree of
freedom gained in such special configurations is kinematically interpreted.
Finally, a practical example is discussed and experimental validations
performed on an actual robot prototype are presented.


title: A dialectical view of the variational principles of mechanics

abstract:
  The aim of this work is to provide a possible philosophical motivation to the
variational principles of physics in general and a possible way to unify the
axiomatizations of mechanics theories. The leitmotif of this work is a
dialectical view of the world: any smooth motion in nature is the consequence
of the interplay and dynamical balance between pairs of opposite elements of
the motion. We stress that the opposite property here differs from the common
sense of opposing elements (of conflicting appearance but of same nature) such
action/reaction forces between two bodies. The opposite elements here are
incompatible and mutual exclusive in nature, with contrasting and complementary
characteristics such as active/passive, disorder/order, curvature/flatness,
etc. The dynamical balance is defined by an invariant variational relationship
between all the pairs of opposite elements active in the considered motion.
From this idea, an axiomatization of quantum mechanics is proposed in addition
to the derivation of several existing variational principles of mechanics.


title: Modeling Carbon Chain Anions in L1527

abstract:
  The low-mass protostellar region L1527 is unusual because it contains
observable abundances of unsaturated carbon-chain molecules including CnH
radicals, H2Cn carbenes, cyanopolyynes, and the negative ions C4H- and C6H-,
all of which are more associated with cold cores than with protostellar
regions. Sakai et al. suggested that these molecules are formed in L1527 from
the chemical precursor methane, which evaporates from the grains during the
heat-up of the region. With the gas-phase osu.03.2008 network extended to
include negative ions of the families Cn-, and CnH-, as well as the newly
detected C3N-, we modeled the chemistry that occurs following methane
evaporation at T~ 25-30 K. We are able to reproduce most of the observed
molecular abundances in L1527 at a time of ~5000 yr. At later times, the
overall abundance of anions become greater than that of electrons, which has an
impact on many organic species and ions. The anion-to-neutral ratio in our
calculation is in good agreement with observation for C6H- but exceeds the
observed ratio by more than three orders of magnitude for C4H-. In order to
explain this difference, further investigation is needed on the rate
coefficients for electron attachment and other reactions regarding anions.


title: Recursion Relations from Space-time Supersymmetry

abstract:
  We describe a method for obtaining relations between higher derivative
interactions in supersymmetric effective actions. The method extends to all
orders in the momentum expansion. As an application, we consider the string
coupling dependence of the \hat{G}^{2k} \lambda^{16} interaction in type IIB
string theory. Using supersymmetry, we show that each of these interactions
satisfies a Poisson equation on the moduli space with sources determined by
lower momentum interactions. We argue that these protected couplings are only
renormalized by a finite number of string loops together with non-perturbative
terms. Finally, we explore some consequences of the Poisson equation for low
values of k.


title: Coverings of Laura Algebras: the Standard Case

abstract:
  In this paper, we study the covering theory of laura algebras. We prove that
if a connected laura algebra is standard (that is, it is not quasi-tilted of
canonical type and its connecting components are standard), then this algebra
has nice Galois coverings associated to the coverings of the connecting
component. As a consequence, we show that the first Hochschild cohomology group
of a standard laura algebra vanishes if and only if it has no proper Galois
coverings.


title:
Theoretical study of elastic electron scattering off stable and exotic
  nuclei

abstract:
  Results for elastic electron scattering by nuclei, calculated with charge
densities of Skyrme forces and covariant effective Lagrangians that accurately
describe nuclear ground states, are compared against experiment in stable
isotopes. Dirac partial-wave calculations are performed with an adapted version
of the ELSEPA package. Motivated by the fact that studies of electron
scattering off exotic nuclei are intended in future facilities in the
commissioned GSI and RIKEN upgrades, we survey the theoretical predictions from
neutron-deficient to neutron-rich isotopes in the tin and calcium isotopic
chains. The charge densities of a covariant interaction that describes the
low-energy electromagnetic structure of the nucleon within the Lagrangian of
the theory are used to this end. The study is restricted to medium and heavy
mass nuclei because the charge densities are computed in mean field approach.
Since the experimental analysis of scattering data commonly involves
parameterized charge densities, as a surrogate exercise for the yet unexplored
exotic nuclei, we fit our calculated mean field densities with Helm model
distributions. This procedure turns out to be helpful to study the
neutron-number variation of the scattering observables and allows us to
identify correlations of potential interest among some of these observables
within the isotopic chains.


title: Invariant quantities in shear flow

abstract:
  The dynamics of systems out of thermal equilibrium is usually treated on a
case-by-case basis without knowledge of fundamental and universal principles.
We address this problem for a class of driven steady states, namely those
mechanically driven at the boundaries such as complex fluids under shear. From
a nonequilibrium counterpart to detailed balance (NCDB) we derive a remarkably
simple set of invariant quantities which remain unchanged when the system is
driven. These new nonequilibrium relations are both exact and valid arbitrarily
far from equilibrium. Furthermore, they enable the systematic calculation of
transition rates in driven systems with state-spaces of arbitrary connectivity.