title:
Succinct Indexable Dictionaries with Applications to Encoding $k$-ary
  Trees, Prefix Sums and Multisets

abstract:
  We consider the {\it indexable dictionary} problem, which consists of storing
a set $S \subseteq \{0,...,m-1\}$ for some integer $m$, while supporting the
operations of $\Rank(x)$, which returns the number of elements in $S$ that are
less than $x$ if $x \in S$, and -1 otherwise; and $\Select(i)$ which returns
the $i$-th smallest element in $S$. We give a data structure that supports both
operations in O(1) time on the RAM model and requires ${\cal B}(n,m) + o(n) +
O(\lg \lg m)$ bits to store a set of size $n$, where ${\cal B}(n,m) = \ceil{\lg
{m \choose n}}$ is the minimum number of bits required to store any $n$-element
subset from a universe of size $m$. Previous dictionaries taking this space
only supported (yes/no) membership queries in O(1) time. In the cell probe
model we can remove the $O(\lg \lg m)$ additive term in the space bound,
answering a question raised by Fich and Miltersen, and Pagh.
  We present extensions and applications of our indexable dictionary data
structure, including:
  An information-theoretically optimal representation of a $k$-ary cardinal
tree that supports standard operations in constant time,
  A representation of a multiset of size $n$ from $\{0,...,m-1\}$ in ${\cal
B}(n,m+n) + o(n)$ bits that supports (appropriate generalizations of) $\Rank$
and $\Select$ operations in constant time, and
  A representation of a sequence of $n$ non-negative integers summing up to $m$
in ${\cal B}(n,m+n) + o(n)$ bits that supports prefix sum queries in constant
time.


title: Time-Reversal Coherent Control in Nanoplasmonics

abstract:
  We introduce an approach to determining the required waveforms to coherently
control the optical energy localization in plasmonic nanosystems. This approach
is based on the impulsive localized excitation of the nanosystem and time
reversal of the generated far-zone field at a single point with one
polarization. Despite strong interaction and significant dephasing and
dissipation in metal plasmonic systems, and incompleteness of this time
reversal, the proposed approach proves to be very efficient in controlling the
nanoscale optical fields. Possible applications include nanoscale spectroscopy
and photomodification, ultradense memory, and information processing on the
nanoscale.


title: Fermionic Effective Operators and Higgs Production at a Linear Collider

abstract:
  We study the possible contributions of dimension six operators containing
fermion fields to Higgs production at a 500 GeV or 1 TeV $e^+e^-$ linear
collider. We show that -- depending on the production mechanism -- the effects
of such operators can be kinematically enhanced relative to Standard Model (SM)
contributions. We determine constraints on the operator coefficients implied by
existing precision electroweak measurements and the scale of neutrino mass. We
find that even in the presence of such constraints, substantial deviations from
SM Higgs production cross-sections are possible. We compare the effects of
fermionic operators with those associated with purely bosonic operators that
have been previously discussed in the literature.


title: Guiding superconducting vortices by magnetic domain walls

abstract:
  We demonstrate a unique prospect for inducing anisotropic vortex pinning and
manipulating the directional motion of vortices using the stripe domain
patterns of a uniaxial magnetic film in a the superconducting/ferromagnetic
hybrid. Our observations can be described by a model, which considers
interactions between magnetic charges of vortices and surface magnetic charges
of domains resulting in the enhanced pinning of vortices on domain walls.


title:
Ballistic Graphene Nanoribbon MOSFETs: a full quantum real-space
  simulation study

abstract:
  A real-space quantum transport simulator for carbon nanoribbon (CNR) MOSFETs
has been developed. Using this simulator, the performance of carbon nanoribbon
(CNR) MOSFETs is examined in the ballistic limit. The impact of quantum effects
on device performance of CNR MOSFETs is also studied. We found that 2D
semi-infinite graphene contacts provide metal-induced-gap-states (MIGS) in the
CNR channel. These states would provide quantum tunneling in the short channel
device and cause Fermi level pining. These effects cause device performance
degradation both on the ON-state and the OFF-state. Pure 1D devices (infinite
contacts), however, show no MIGS. Quantum tunneling effects are still playing
an important role in the device characteristics. Conduction due to band-to-band
tunneling is accurately captured in our simulations. It is important in these
devices, and found to dominate the off-state current. Based on our simulations,
both a 1.4nm wide and a 1.8nm wide CNR with channel length of 12.5nm can
outperform ultra scaled Si devices in terms of drive current capabilities and
electrostatic control. Although subthreshold slopes in the forward-bias
conduction are better than in Si transistors, tunneling currents are important
and prevent the achievement of the theoretical limit of 60mV/dec.


title:
Isomonodromic deformation theory and the next-to-diagonal correlations
  of the anisotropic square lattice Ising model

abstract:
  In 1980 Jimbo and Miwa evaluated the diagonal two-point correlation function
of the square lattice Ising model as a $\tau$-function of the sixth Painlev\'e
system by constructing an associated isomonodromic system within their theory
of holonomic quantum fields. More recently an alternative isomonodromy theory
was constructed based on bi-orthogonal polynomials on the unit circle with
regular semi-classical weights, for which the diagonal Ising correlations arise
as the leading coefficient of the polynomials specialised appropriately. Here
we demonstrate that the next-to-diagonal correlations of the anisotropic Ising
model are evaluated as one of the elements of this isomonodromic system or
essentially as the Cauchy-Hilbert transform of one of the bi-orthogonal
polynomials.


title: Nuclear magnetic resonance force microscopy with a microwire rf source

abstract:
  We use a 1.0-um-wide patterned Cu wire with an integrated nanomagnetic tip to
measure the statistical nuclear polarization of 19F in CaF2 by magnetic
resonance force microscopy (MRFM). With less than 350 uW of dissipated power,
we achieve rf magnetic fields over 4 mT at 115 MHz for a sample positioned
within 100 nm of the "microwire" rf source. A 200-nm diameter FeCo tip
integrated onto the wire produces field gradients greater than 10^5 T/m at the
same position. The large rf fields from the broadband microwire enable long
rotating-frame spin lifetimes of up to 15 s at 4 K.


title:
Formation and Collapse of Quiescent Cloud Cores Induced by Dynamic
  Compressions

abstract:
  (Abridged) We present numerical hydrodynamical simulations of the formation,
evolution and gravitational collapse of isothermal molecular cloud cores. A
compressive wave is set up in a constant sub-Jeans density distribution of
radius r = 1 pc. As the wave travels through the simulation grid, a
shock-bounded spherical shell is formed. The inner shock of this shell reaches
and bounces off the center, leaving behind a central core with an initially
almost uniform density distribution, surrounded by an envelope consisting of
the material in the shock-bounded shell, with a power-law density profile that
at late times approaches a logarithmic slope of -2 even in non-collapsing
cases. The resulting density structure resembles a quiescent core of radius <
0.1 pc, with a Bonnor-Ebert-like (BE-like) profile, although it has significant
dynamical differences: it is initially non-self-gravitating and confined by the
ram pressure of the infalling material, and consequently, growing continuously
in mass and size. With the appropriate parameters, the core mass eventually
reaches an effective Jeans mass, at which time the core begins to collapse.
Thus, there is necessarily a time delay between the appearance of the core and
the onset of its collapse, but this is not due to the dissipation of its
internal turbulence as it is often believed. These results suggest that
pre-stellar cores may approximate Bonnor-Ebert structures which are however of
variable mass and may or may not experience gravitational collapse, in
qualitative agreement with the large observed frequency of cores with BE-like
profiles.


title:
Oscillation Frequency Dependence of Non-Classical Rotation Inertia of
  Solid $^4$He

abstract:
  The non-classical rotational inertia fraction of the identical cylindrical
solid $^4$He below 300 mK is studied at 496 and 1173 Hz by a double resonance
torsional oscillator. Below 35 mK, the fraction is the same at sufficiently low
rim velocities. Above 35 mK, the fraction is greater for the higher than the
lower mode. The dissipation peak of the lower mode occurs at a temperature
$\sim$ 4 mK lower than that of the higher mode. The drive dependence of the two
modes shows that the reduction of the fraction is characterized by critical
velocity, \textit{not} amplitude nor acceleration.


title: Iterative Rounding for the Closest String Problem

abstract:
  The closest string problem is an NP-hard problem, whose task is to find a
string that minimizes maximum Hamming distance to a given set of strings. This
can be reduced to an integer program (IP). However, to date, there exists no
known polynomial-time algorithm for IP. In 2004, Meneses et al. introduced a
branch-and-bound (B & B) method for solving the IP problem. Their algorithm is
not always efficient and has the exponential time complexity. In the paper, we
attempt to solve efficiently the IP problem by a greedy iterative rounding
technique. The proposed algorithm is polynomial time and much faster than the
existing B & B IP for the CSP. If the number of strings is limited to 3, the
algorithm is provably at most 1 away from the optimum. The empirical results
show that in many cases we can find an exact solution. Even though we fail to
find an exact solution, the solution found is very close to exact solution.


title: The momentum map in Poisson geometry

abstract:
  Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a
Hamiltonian action on its symplectic groupoid which has a canonically defined
momentum map. We study various properties of this momentum map as well as its
use in reduction.


title: Fuzzy Torus via q-Parafermion

abstract:
  We note that the recently introduced fuzzy torus can be regarded as a
q-deformed parafermion. Based on this picture, classification of the Hermitian
representations of the fuzzy torus is carried out. The result involves
Fock-type representations and new finite dimensional representations for q
being a root of unity as well as already known finite dimensional ones.


title: Rate Bounds for MIMO Relay Channels

abstract:
  This paper considers the multi-input multi-output (MIMO) relay channel where
multiple antennas are employed by each terminal. Compared to single-input
single-output (SISO) relay channels, MIMO relay channels introduce additional
degrees of freedom, making the design and analysis of optimal cooperative
strategies more complex. In this paper, a partial cooperation strategy that
combines transmit-side message splitting and block-Markov encoding is
presented. Lower bounds on capacity that improve on a previously proposed
non-cooperative lower bound are derived for Gaussian MIMO relay channels.


title:
Lambda(1405) as a Resonance in the Baryon-Meson Scattering Coupled to
  the q^3 State in a Quark Model

abstract:
  In order to describe Lambda(1405) as a resonance in the baryon-meson
scattering, we have investigated q^3-q qbar scattering system with the
flavor-singlet q^3 (0s)^2(0p) state (the Lambda^1 pole). The scattering is
treated by the quark cluster model (QCM). The Lambda^1 pole is treated as a
bound state embedded in the continuum. We found that the peak appears below the
N Kbar threshold in the spin one half, isospin 0 channel even if the mass of
the Lambda^1 pole is above the threshold. This peak disappears when the
coupling to the Lambda^1 pole is switched off. To use the observed hadron mass
in the kinetic part of QCM is also found to be important to reproduce a peak
just below the N Kbar threshold.


title: Structure and magnetism of self-organized Ge(1-x)Mn(x) nano-columns

abstract:
  We report on the structural and magnetic properties of thin Ge(1-x)Mn(x)films
grown by molecular beam epitaxy (MBE) on Ge(001) substrates at temperatures
(Tg) ranging from 80deg C to 200deg C, with average Mn contents between 1 % and
11 %. Their crystalline structure, morphology and composition have been
investigated by transmission electron microscopy (TEM), electron energy loss
spectroscopy and x-ray diffraction. In the whole range of growth temperatures
and Mn concentrations, we observed the formation of manganese rich
nanostructures embedded in a nearly pure germanium matrix. Growth temperature
mostly determines the structural properties of Mn-rich nanostructures. For low
growth temperatures (below 120deg C), we evidenced a two-dimensional spinodal
decomposition resulting in the formation of vertical one-dimensional
nanostructures (nanocolumns). Moreover we show in this paper the influence of
growth parameters (Tg and Mn content) on this decomposition i.e. on nanocolumns
size and density. For temperatures higher than 180deg C, we observed the
formation of Ge3Mn5 clusters. For intermediate growth temperatures nanocolumns
and nanoclusters coexist. Combining high resolution TEM and superconducting
quantum interference device magnetometry, we could evidence at least four
different magnetic phases in Ge(1-x)Mn(x) films: (i) paramagnetic diluted Mn
atoms in the germanium matrix, (ii) superparamagnetic and ferromagnetic low-Tc
nanocolumns (120 K < Tc < 170 K), (iii) high-Tc nanocolumns (Tc> 400 K) and
(iv) Ge3Mn5 clusters.


title:
Influence of the extent of the eigenstates of a system on the resonances
  formed through its coupling to a field

abstract:
  We examine resonances for two systems consisting of a particle coupled to a
massless boson's field. The field is the free field in the whole space. In the
first system, the particle is confined inside a ball. We show that besides the
usual energy levels of the particle, which have become complex through the
coupling to the field, other resonances are to be taken into account if the
ball's radius is comparable to the particle's Compton wavelength. In the second
system, the particle is in a finite-depth square-well potential. We study the
way the resonances' width depends on the extent of the uncoupled particle's
wave functions. In both cases, we limit ourselves to considering two levels of
the particle only.

categories: physics.flu-dyn hep-th math-ph math.MP quant-ph


title: Bivariate linear mixed models using SAS proc MIXED

abstract:
  Bivariate linear mixed models are useful when analyzing longitudinal data of
two associated markers. In this paper, we present a bivariate linear mixed
model including random effects or first-order auto-regressive process and
independent measurement error for both markers. Codes and tricks to fit these
models using SAS Proc MIXED are provided. Limitations of this program are
discussed and an example in the field of HIV infection is shown. Despite some
limitations, SAS Proc MIXED is a useful tool that may be easily extendable to
multivariate response in longitudinal studies.


title: Mixed models for longitudinal left-censored repeated measures

abstract:
  Longitudinal studies could be complicated by left-censored repeated measures.
For example, in Human Immunodeficiency Virus infection, there is a detection
limit of the assay used to quantify the plasma viral load. Simple imputation of
the limit of the detection or of half of this limit for left-censored measures
biases estimations and their standard errors. In this paper, we review two
likelihood-based methods proposed to handle left-censoring of the outcome in
linear mixed model. We show how to fit these models using SAS Proc NLMIXED and
we compare this tool with other programs. Indications and limitations of the
programs are discussed and an example in the field of HIV infection is shown.


title:
Asymptotic behavior of weighted quadratic and cubic variations of
  fractional Brownian motion

abstract:
  The present article is devoted to a fine study of the convergence of
renormalized weighted quadratic and cubic variations of a fractional Brownian
motion $B$ with Hurst index $H$. In the quadratic (resp. cubic) case, when
$H<1/4$ (resp. $H<1/6$), we show by means of Malliavin calculus that the
convergence holds in $L^2$ toward an explicit limit which only depends on $B$.
This result is somewhat surprising when compared with the celebrated Breuer and
Major theorem.


title: Supersolidity of glasses

abstract:
  Supersolidity of glasses is explained as a property of an unusual state of
condensed matter. This state is essentially different from both normal and
superfluid solid states. The mechanism of the phenomenon is the transfer of
mass by tunneling two level systems.


title: Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions

abstract:
  Mixed action lattice calculations allow for an additive lattice spacing
dependent mass renormalization of mesons composed of one sea and one valence
quark, regardless of the type of fermion discretization methods used in the
valence and sea sectors. The value of the mass renormalization depends upon the
lattice actions used. This mixed meson mass shift is an important lattice
artifact to determine for mixed action calculations; because it modifies the
pion mass, it plays a central role in the low energy dynamics of all hadronic
correlation functions. We determine the leading order, $\mathcal{O}(a^2)$, and
next to leading order, $\mathcal{O}(a^2 m_\pi^2)$, additive mass shift of
\textit{valence-sea} mesons for a mixed lattice action with domain-wall valence
fermions and rooted staggered sea fermions, relevant to the majority of current
large scale mixed action lattice efforts. We find that on the asqtad improved
coarse MILC lattices, this additive mass shift is well parameterized in lattice
units by $\Delta(am)^2 = 0.034(2) -0.06(2) (a m_\pi)^2$, which in physical
units, using $a=0.125$ fm, corresponds to $\Delta(m)^2 = (291\pm 8
\textrm{MeV})^2 -0.06(2) m_\pi^2$. In terms of the mixed action effective field
theory parameters, the corresponding mass shift is given by $a^2
\Delta_\mathrm{Mix} = (316 \pm 4 \textrm{MeV})^2$ at leading order plus
next-to-leading order corrections including the necessary chiral logarithms for
this mixed action calculation, determined in this work. Within the precision of
our calculation, one can not distinguish between the full next-to-leading order
effective field theory analysis of this additive mixed meson mass shift and the
parameterization given above.


title:
Integrable lattices and their sublattices II. From the B-quadrilateral
  lattice to the self-adjoint schemes on the triangular and the honeycomb
  lattices

abstract:
  An integrable self-adjoint 7-point scheme on the triangular lattice and an
integrable self-adjoint scheme on the honeycomb lattice are studied using the
sublattice approach. The star-triangle relation between these systems is
introduced, and the Darboux transformations for both linear problems from the
Moutard transformation of the B-(Moutard) quadrilateral lattice are obtained. A
geometric interpretation of the Laplace transformations of the self-adjoint
7-point scheme is given and the corresponding novel integrable discrete 3D
system is constructed.


title: The interplay between radio galaxies and cluster environment

abstract:
  By combining the REFLEX and NORAS cluster datasets with the NVSS radio
catalogue, we obtain a sample of 145, z<0.3, X-ray selected clusters brighter
than 3 10^(-12) erg/s/cm^2 that show a central radio emission above 3 mJy. For
virial masses M_vir<~10^(14.5) M_sun, 11 clusters out of 12 (corresponding to
92% of the systems) are inhabited by a central radio source. This fraction
decreases with higher masses as M_vir^(-0.4) and suggests that the majority of
X-ray selected clusters host in their centre a radio source brighter than about
10^(20) W/Hz/sr. A division of the sample into clusters harbouring either
point-like or an extended radio-loud AGN reveals that the steepening of the
L_X-T relation for low-temperature clusters is strongly associated with the
presence of central radio objects with extended jets and/or lobe structures. In
the latter case, L_X\propto T^(4) while for point-like sources one recovers an
approximately self-similar relation L_X\propto T^(2.3). Monte Carlo simulations
show that the steepening of the L_X-T relation is not caused by clusters being
under-luminous in the X-ray band, but rather by overheating, most likely caused
by the interplay between the extended radio structures and the intracluster
medium. In the case of low-mass systems, we also find a tight correlation
between radio luminosity and cluster temperature. The effects of the central
radio source on the thermal state of a cluster become less important with
increasing cluster mass. (Abridged) The luminosity distribution of the cluster
radio population differs from that of all radio sources, as there is a deficit
of low-luminosity (L_R<~10^(22) W/Hz/sr) objects, while the number of
high-luminosity ones is boosted. The net effect on the radio luminosity
function is of a flattening at all luminosities L_R<~ 10^(24) W/Hz/sr.


title:
Continuum and all-atom description of the energetics of graphene
  nanocones

abstract:
  Energies of graphene nanocones with 1 to 5 pentagonal disclinations are
studied on an atomically detailed level. The numerical results are interpreted
in terms of three different contributions to the cone energy: the core
disclination energy, the bending energy of the cone surface, and the ''line
tension'' energy of the cone edge that is related to different coordination of
carbon atoms situated at the edge. This continuum description allows for a
construction of analytic expressions for the cone energetics and indicates
different regimes of cone sizes in which cones with a particular number of
disclinations are preferred energywise. An important result of the study is
that the energetics of various types of cones profoundly depends upon whether
the dangling carbon bonds at the cone basis are saturated by hydrogen atoms or
not. This may be of use for explaining the differences in the yields of various
cone types in different production processes.


title: On the mesonic Lagrangian of order p^6 in chiral SU(2)

abstract:
  We show that the number of operators in the presently known mesonic chiral
Lagrangian of order p^6 in the two-flavour sector can be reduced by at least
one from 57 to 56 by providing an explicit relation among the operators. We
briefly discuss the relevance of this new relation.


title:
s-wave symmetry along the c-axis and s+d in-plane superconductivity in
  bulk YBa_2Cu_4O_8

abstract:
  To clarify the order parameter symmetry of cuprates, the magnetic penetration
depth $\lambda$ was measured along the crystallographic directions $a$, $b$,
and $c$ in single crystals of YBa$_2$Cu$_4$O$_8$ via muon spin rotation. This
method is direct, bulk sensitive, and unambiguous. The temperature dependences
of $\lambda_a^{-2}$ and $\lambda_b^{-2}$ exhibit an inflection point at low
temperatures as is typical for two-gap superconductivity (TGS) with $s+d-$wave
character in the planes. Perpendicular to the planes a pure s-wave gap is
observed thereby highlighting the important role of c-axis effects. We conclude
that these are generic and universal features in the bulk of cuprates.


title:
Applicability of layered sine-Gordon models to layered superconductors:
  II. The case of magnetic coupling

abstract:
  In this paper, we propose a quantum field theoretical renormalization group
approach to the vortex dynamics of magnetically coupled layered
superconductors, to supplement our earlier investigations on the
Josephson-coupled case. We construct a two-dimensional multi-layer sine-Gordon
type model which we map onto a gas of topological excitations. With a special
choice of the mass matrix for our field theoretical model, vortex dominated
properties of magnetically coupled layered superconductors can be described.
The well known interaction potentials of fractional flux vortices are
consistently obtained from our field-theoretical analysis, and the physical
parameters (vortex fugacity and temperature parameter) are also identified. We
analyse the phase structure of the multi-layer sine--Gordon model by a
differential renormalization group method for the magnetically coupled case
from first principles. The dependence of the transition temperature on the
number of layers is found to be in agreement with known results based on other
methods.


title: Gravitino Dark Matter from Inflaton Decay

abstract:
  We discuss a scenario that gravitinos produced non-thermally by an inflaton
decay constitute dark matter in the present universe. We find that this
scenario is realized for wide ranges of the inflaton mass and the vacuum
expectation value. What is intriguing about this scenario is that the gravitino
dark matter can have a relatively large free streaming length at
matter-radiation equality, which can be probed by future observation on
QSO-galaxy strong lens system.


title: Effect of a static phase transition on searching dynamics

abstract:
  We consider a one dimensional Euclidean network which is grown using a
preferential attachment. Here the $j$th incoming node gets attached to the
$i$th existing node with the probability $\Pi_i \propto k_i {{l}}_{ij}^\alpha$,
where ${l}_{ij}$ is the Euclidean distance between them and $k_i$ the degree of
the $i$th node. This network is known to have a static phase transition point
at $\alpha_c \simeq 0.5$. On this network, we employ three different searching
strategies based on degrees or distances or both, where the possibility of
termination of search chains is allowed. A detailed analysis shows that these
strategies are significantly affected by the presence of the static critical
point. The distributions of the search path lengths and the success rates are
also estimated and compared for the different strategies. These distributions
appear to be marginally affected by the static phase transition.


title: Nonlocal Excitation Spectra in 2D Doped Hubbard Model

abstract:
  Single-particle excitation spectra of the two-dimensional Hubbard model on
the square lattice near half filling and at zero temperature are investigated
on the basis of the self-consistent projection operator method. The method
guarantees a high accuracy of the spectra with high energy and high momentum
resolutions. It takes into account long-range intersite correlations as well as
the strong on-site correlations. Effects of nonlocal excitations are clarified
by comparing the results with those of the single-site approximation. The
calculated spectra verify the quantum Monte-Carlo results for finite
temperatures. The spectra at the Fermi level yield a hole-like Fermi surface in
the underdoped region and an electron-like Fermi surface in the overdoped
region. From a numerical analysis of the momentum dependent effective mass and
self-energy, it is concluded that a marginal Fermi-liquid like state persists
even at finite doping concentrations in the strongly correlated region because
a van Hove singularity is pinned to the Fermi surface. It is also found that a
kink structure appears in the quasiparticle energy band in the same region. The
kink is shown to be caused by a mixing between the quasiparticle band and an
excitation band with strong short-range antiferromagnetic correlations. These
results suggest an explanation for some of the unusual properties of the normal
state in high-$T_{\rm c}$ cuprates.


title:
Stochastic resonance with weak monochromatic driving: gains above unity
  induced by high-frequency signals

abstract:
  We study the effects of a high-frequency (HF) signal on the response of a
noisy bistable system to a low-frequency subthreshold sinusoidal signal. We
show that, by conveniently choosing the ratio of the amplitude of the HF signal
to its frequency, stochastic resonance gains greater than unity can be measured
at the low-frequency value. Thus, the addition of the HF signal can entail an
improvement in the detection of weak monochromatic signals. The results are
explained in terms of an effective model and illustrated by means of numerical
simulations.


title:
On reverberation and cross-correlation estimates of the size of the
  broad-line region in active galactic nuclei

abstract:
  It is known that the dependence of the emission-line luminosity of a typical
cloud in the active galactic nuclei broad-line regions (BLRs) upon the incident
flux of ionizing continuum can be nonlinear. We study how this nonlinearity can
be taken into account in estimating the size of the BLR by means of the
"reverberation" methods. We show that the BLR size estimates obtained by
cross-correlation of emission-line and continuum light curves can be much (up
to an order of magnitude) less than the values obtained by reverberation
modelling. This is demonstrated by means of numerical cross-correlation and
reverberation experiments with model continuum flares and emission-line
transfer functions and by means of practical reverberation modelling of the
observed optical spectral variability of NGC 4151. The time behaviour of NGC
4151 in the H_alpha and H_beta lines is modelled on the basis of the
observational data by Kaspi et al. (1996, ApJ, 470, 336) and the theoretical
BLR model by Shevchenko (1984, Sov. Astron. Lett., 10, 377; 1985, Sov. Astron.
Lett., 11, 35). The values of the BLR parameters are estimated that allow to
judge on the size and physical characteristics of the BLR. The small size of
the BLR, as determined by the cross-correlation method from the data of Kaspi
et al. (1996, ApJ, 470, 336), is shown to be an artifact of this method. So,
the hypothesis that the BLR size varies in time is not necessitated by the
observational data.


title: Multidimensional continued fractions and a Minkowski function

abstract:
  The Minkowski Question Mark function can be characterized as the unique
homeomorphism of the real unit interval that conjugates the Farey map with the
tent map. We construct an n-dimensional analogue of the Minkowski function as
the only homeomorphism of an n-simplex that conjugates the piecewise-fractional
map associated to the Monkemeyer continued fraction algorithm with an
appropriate tent map.


title: Complete surfaces with positive extrinsic curvature in product spaces

abstract:
  We prove that every complete connected immersed surface with positive
extrinsic curvature $K$ in $H^2\times R$ must be properly embedded,
homeomorphic to a sphere or a plane and, in the latter case, study the behavior
of the end. Then, we focus our attention on surfaces with positive constant
extrinsic curvature ($K-$surfaces). We establish that the only complete
$K-$surfaces in $S^2\times R$ and $H^2\times R$ are rotational spheres. Here
are the key steps to achieve this. First height estimates for compact
$K-$surfaces in a general ambient space $M^2\times R$ with boundary in a slice
are obtained. Then distance estimates for compact $K-$surfaces (and
H-$surfaces) in $H^2\times R$ with boundary on a vertical plane are obtained.
Finally we construct a quadratic form with isolated zeroes of negative index.


title: Reply to Comment by J.A.Garcia, arXiv:0705.0143 (to appear in PRD)

abstract: We observe that there is no clash between the works \cite{gar} and \cite{g1}.


title:
Actions of the braid group, and new algebraic proofs of results of
  Dehornoy and Larue

abstract:
  This article surveys many standard results about the braid group with
emphasis on simplifying the usual algebraic proofs.
  We use van der Waerden's trick to illuminate the Artin-Magnus proof of the
classic presentation of the algebraic mapping-class group of a punctured disc.
  We give a simple, new proof of the Dehornoy-Larue braid-group trichotomy,
and, hence, recover the Dehornoy right-ordering of the braid group.
  We then turn to the Birman-Hilden theorem concerning braid-group actions on
free products of cyclic groups, and the consequences derived by Perron-Vannier,
and the connections with the Wada representations. We recall the very simple
Crisp-Paris proof of the Birman-Hilden theorem that uses the Larue-Shpilrain
technique. Studying ends of free groups permits a deeper understanding of the
braid group; this gives us a generalization of the Birman-Hilden theorem.
Studying Jordan curves in the punctured disc permits a still deeper
understanding of the braid group; this gave Larue, in his PhD thesis,
correspondingly deeper results, and, in an appendix, we recall the essence of
Larue's thesis, giving simpler combinatorial proofs.


title: Clustering Co-occurrence of Maximal Frequent Patterns in Streams

abstract:
  One way of getting a better view of data is using frequent patterns. In this
paper frequent patterns are subsets that occur a minimal number of times in a
stream of itemsets. However, the discovery of frequent patterns in streams has
always been problematic. Because streams are potentially endless it is in
principle impossible to say if a pattern is often occurring or not. Furthermore
the number of patterns can be huge and a good overview of the structure of the
stream is lost quickly. The proposed approach will use clustering to facilitate
the analysis of the structure of the stream.
  A clustering on the co-occurrence of patterns will give the user an improved
view on the structure of the stream. Some patterns might occur so much together
that they should form a combined pattern. In this way the patterns in the
clustering will be the largest frequent patterns: maximal frequent patterns.
  Our approach to decide if patterns occur often together will be based on a
method of clustering when only the distance between pairs is known. The number
of maximal frequent patterns is much smaller and combined with clustering
methods these patterns provide a good view on the structure of the stream.


title: Iteration of closed geodesics in stationary Lorentzian manifolds

abstract:
  Following the lines of a celebrated result by R. Bott (Comm. Pure Appl. Math.
9, 1956) we study the Morse index of the iterated of a closed geodesic in
stationary Lorentzian manifolds, or, more generally, of a closed Lorentzian
geodesic that admits a timelike periodic Jacobi field. Given one such closed
geodesic $\gamma$, we prove the existence of a locally constant integer valued
map $\Lambda_\gamma$ on the unit circle with the property that the Morse index
of the iterated $\gamma^N$ is equal, up to a correction term
$\epsilon_\gamma\in\{0,1\}$, to the sum of the values of $\Lambda_\gamma$ at
the $N$-th roots of unity. The discontinuities of $\Lambda_\gamma$ occur at a
finite number of points of the unit circle, that are special eigenvalues of the
linearized Poincar\'e map of $\gamma$. We discuss some applications of the
theory.


title:
Comparison of Magnetic Flux Distribution between a Coronal Hole and a
  Quiet Region

abstract:
  Employing Big Bear Solar Observatory (BBSO) deep magnetograms and H${\alpha}$
images in a quiet region and a coronal hole, observed on September 14 and 16,
2004, respectively, we have explored the magnetic flux emergence, disappearance
and distribution in the two regions. The following results are obtained: (1)
The evolution of magnetic flux in the quiet region is much faster than that in
the coronal hole, as the flux appeared in the form of ephemeral regions in the
quiet region is 4.3 times as large as that in the coronal hole, and the flux
disappeared in the form of flux cancellation, 2.9 times as fast as in the
coronal hole. (2) More magnetic elements with opposite polarities in the quiet
region are connected by arch filaments, estimating from magnetograms and
H${\alpha}$ images. (3) We measured the magnetic flux of about 1000 magnetic
elements in each observing region. The flux distribution of network and
intranetwork (IN) elements is similar in both polarities in the quiet region.
For network fields in the coronal hole, the number of negative elements is much
more than that of positive elements. However for the IN fields, the number of
positive elements is much more than that of negative elements. (4) In the
coronal hole, the fraction of negative flux change obviously with different
threshold flux density. 73% of the magnetic fields with flux density larger
than 2 Gauss is negative polarity, and 95% of the magnetic fields is negative,
if we only measure the fields with their flux density larger than 20 Gauss. Our
results display that in a coronal hole, stronger fields is occupied by one
predominant polarity; however the majority of weaker fields, occupied by the
other polarity.


title: The Oka principle for sections of stratified fiber bundles

abstract:
  A complex manifold Y satisfies the Convex Approximation Property (CAP) if
every holomorphic map from a neighborhood of a compact convex set K in a
complex Euclidean space C^n to Y can be approximated, uniformly on K, by entire
maps from C^n to Y. If X is a reduced Stein space and Z is a stratified
holomorphic fiber bundle over X all of whose fibers satisfy CAP, then sections
of Z over X enjoy the Oka property with (jet) interpolation and approximation.
Previously this has been proved by the author in the case when X is a Stein
manifold without singularities (Ann. Math., 163 (2006), 689-707,
math.CV/0402278; Ann. Inst. Fourier, 55 (2005), 733-751, math.CV/0411048). We
also give existence results for holomorphic sections under certain connectivity
hypothesis on the fibers. In the final part of the paper we obtain the Oka
property for sections of submersions with stratified sprays over Stein spaces.


title: A Natural Explanation for Magnetars

abstract:
  We explore the possibility that a magnetar may owe its strong magnetic field
to a magnetized core which, as indicated by certain equations of state, may
form due to phase transitions at high density mediated by strong interaction
within a sufficiently massive neutron star. We argue that the field derived
from such a core could explain several inferred evolutionary behaviors of
magnetars.


title: Clustering with Lattices in the Analysis of Graph Patterns

abstract:
  Mining frequent subgraphs is an area of research where we have a given set of
graphs (each graph can be seen as a transaction), and we search for (connected)
subgraphs contained in many of these graphs. In this work we will discuss
techniques used in our framework Lattice2SAR for mining and analysing frequent
subgraph data and their corresponding lattice information. Lattice information
is provided by the graph mining algorithm gSpan; it contains all
supergraph-subgraph relations of the frequent subgraph patterns -- and their
supports.
  Lattice2SAR is in particular used in the analysis of frequent graph patterns
where the graphs are molecules and the frequent subgraphs are fragments. In the
analysis of fragments one is interested in the molecules where patterns occur.
This data can be very extensive and in this paper we focus on a technique of
making it better available by using the lattice information in our clustering.
Now we can reduce the number of times the highly compressed occurrence data
needs to be accessed by the user. The user does not have to browse all the
occurrence data in search of patterns occurring in the same molecules. Instead
one can directly see which frequent subgraphs are of interest.


title:
Reply to comment on "Essence of intrinsic tunnelling: Distinguishing
  intrinsic features from artefacts

abstract:
  The recent PRB, henceforth referred as Ref.[1], experimentally resolves the
intrinsic shape of the c-axis current-voltage characteristics (IVC) of HTSC and
demonstrates that at sufficiently high heat loads the heating-induced IVC
nonlinearities exceed the intrinsic ones so radically that the latter might be
safely ignored.
  The author of the comment fails to take account of the experimental findings
by Ref.[1] and seeks to cast doubt on all its conclusions through reference to
a brush-like IVC, which is claimed to be free of heating. I will show that this
claim lacks substantiation; indeed it can be stated with certainty that the IVC
is not free from heating. I will further show that the data selected for this
comment make it possible to explore for the first time the effect of
temperature on a range of loads where the genuine response is not hidden by
heating and to demonstrate for the first time that $R(T)$ of the same sample is
responsible for a rich variety of IVC behaviours taken above and below $T_c$ at
bath temperatures spanned over 180K. Thus these data in fact provide strong
novel evidence in favour of the major conclusions by Ref.[1], in particular the
extrinsic cause of the key findings by intrinsic tunnelling spectroscopy.


title: Lochon Catalyzed D-D Fusion in Deuterated Palladium in the Solid State

abstract:
  Lochons (local charged bosons or local electron pairs) can form on D+ to give
D- (bosonic ions) in Palladium Deuteride in the solid state. Such entities will
occur at special sites or in linear channel owing to strong electron-phonon
interaction or due to potential inversion on metallic electrodes. These lochons
can catalyze D- - D+ fusion as a consequence of internal conversion leading to
the formation of He-4 plus production of energy (Q=23.8 MeV) which is carried
by the alpha particle and the ejected electron-pair. The reaction rate for this
fusion process is calculated.


title:
Phase transition in the two-component symmetric exclusion process with
  open boundaries

abstract:
  We consider single-file diffusion in an open system with two species $A,B$ of
particles. At the boundaries we assume different reservoir densities which
drive the system into a non-equilibrium steady state. As a model we use an
one-dimensional two-component simple symmetric exclusion process with two
different hopping rates $D_A,D_B$ and open boundaries. For investigating the
dynamics in the hydrodynamic limit we derive a system of coupled non-linear
diffusion equations for the coarse-grained particle densities. The relaxation
of the initial density profile is analyzed by numerical integration. Exact
analytical expressions are obtained for the self-diffusion coefficients, which
turns out to be length-dependent, and for the stationary solution. In the
steady state we find a discontinuous boundary-induced phase transition as the
total exterior density gradient between the system boundaries is varied. At one
boundary a boundary layer develops inside which the current flows against the
local density gradient. Generically the width of the boundary layer and the
bulk density profiles do not depend on the two hopping rates. At the phase
transition line, however, the individual density profiles depend strongly on
the ratio $D_A/D_B$. Dynamic Monte Carlo simulation confirm our theoretical
predictions.


title: Physically Sound Hamiltonian Formulation of the Dynamical Casimir Effect

abstract:
  Recently [J. Haro and E. Elizalde, Phys. Rev. Lett. {\bf 97}, 130401 (2006)],
a Hamiltonian formulation has been introduced in order to address some
longstanding severe problems associated with the physical description of the
dynamical Casimir effect at all times while the mirrors are moving. Here we
present the complete calculation providing precise details, in particular, of
the regularization procedure, which is decisive for the correct derivation of
physically meaningful quantities. A basic difference when comparing with the
results previously obtained by other authors is the fact that the motion force
derived in our approach contains a reactive term --proportional to the mirrors'
acceleration. This is of the essence in order to obtain particles with a
positive energy all the time during the oscillation of the mirrors --while
always satisfying the energy conservation law. A careful analysis of the
interrelations among the different results previously obtained in the
literature is then carried out. For simplicity, the specific case of a neutral
scalar field in one dimension, with one or two partially transmitting mirrors
(a fundamental proviso for the regularization issue) is considered in more
detail, but our general method is shown to be generalizable, without essential
problems (Sect. 2 of this paper), to fields of any kind in two and higher
dimensions.


title: Magnetic Evolution and Temperature Variation in a Coronal Hole

abstract:
  We have explored the magnetic flux evolution and temperature variation in a
coronal-hole region, using Big Bear Solar Observatory (BBSO) deep magnetograms
and {\it SOHO}/EIT images observed from 2005 October 10 to 14. For comparison,
we also investigated a neighboring quiet region of the Sun. The coronal hole
evolved from its mature stage to its disappearance during the observing period.
We have obtained the following results: (1) When the coronal hole was well
developed on October 10, about 60 % of the magnetic flux was positive. The EUV
brightness was 420 counts pixel$^{-1}$, and the coronal temperature, estimated
from the line ratio of the EIT 195 {\AA} and 171 {\AA} images, was 1.07 MK. (2)
On October 14, when the coronal hole had almost disappeared, 51 % of the
magnetic flux was positive, the EUV radiance was 530 counts pixel$^{-1}$, and
the temperature was 1.10 MK. (3) In the neighboring quiet region, the fraction
of positive flux varied between 0.49 and 0.47. The EUV brightness displayed an
irregular variation, with a mean value of 870 counts pixel$^{-1}$. The
temperature was almost constant at 1.11 MK during the five-day observation. Our
results demonstrate that in a coronal hole less imbalance of the magnetic flux
in opposite polarities leads to stronger EUV brightness and higher coronal
temperatures.


title: NodeTrix: Hybrid Representation for Analyzing Social Networks

abstract:
  The need to visualize large social networks is growing as hardware
capabilities make analyzing large networks feasible and many new data sets
become available. Unfortunately, the visualizations in existing systems do not
satisfactorily answer the basic dilemma of being readable both for the global
structure of the network and also for detailed analysis of local communities.
To address this problem, we present NodeTrix, a hybrid representation for
networks that combines the advantages of two traditional representations:
node-link diagrams are used to show the global structure of a network, while
arbitrary portions of the network can be shown as adjacency matrices to better
support the analysis of communities. A key contribution is a set of interaction
techniques. These allow analysts to create a NodeTrix visualization by dragging
selections from either a node-link or a matrix, flexibly manipulate the
NodeTrix representation to explore the dataset, and create meaningful summary
visualizations of their findings. Finally, we present a case study applying
NodeTrix to the analysis of the InfoVis 2004 coauthorship dataset to illustrate
the capabilities of NodeTrix as both an exploration tool and an effective means
of communicating results.


title: A note on q-Gaussians and non-Gaussians in statistical mechanics

abstract:
  The sum of $N$ sufficiently strongly correlated random variables will not in
general be Gaussian distributed in the limit N\to\infty. We revisit examples of
sums x that have recently been put forward as instances of variables obeying a
q-Gaussian law, that is, one of type (cst)\times[1-(1-q)x^2]^{1/(1-q)}. We show
by explicit calculation that the probability distributions in the examples are
actually analytically different from q-Gaussians, in spite of numerically
resembling them very closely. Although q-Gaussians exhibit many interesting
properties, the examples investigated do not support the idea that they play a
special role as limit distributions of correlated sums.


title: Floating Phase in 2D ANNNI Model

abstract:
  We investigate whether the floating phase (where the correlation length is
infinite and the spin-spin correlation decays algebraically with distance)
exists in the temperature($T$) - frustration parameter ($\kappa$) phase diagram
of 2D ANNNI model. To identify this phase, we look for the region where (i)
finite size effect is prominent and (ii) some relevant physical quantity
changes somewhat sharply and this change becomes sharper as the system size
increases. For $\kappa < 0.5 $, the low temperature phase is ferromagnetic and
we study energy and magnetization. For $\kappa > 0.5 $, the low temperature
phase is antiphase and we study energy, layer magnetization, length of domain
walls running along the direction of frustration, number of domain-intercepts
that are of length 2 along the direction of frustration, and the number of
domain walls that do not touch the upper and/or lower boundary. In agreement
with some previous studies, our final conclusion is that, the floating phase
exists, if at all, only along a line.


title: Risk Assessment Algorithms Based On Recursive Neural Networks

abstract:
  The assessment of highly-risky situations at road intersections have been
recently revealed as an important research topic within the context of the
automotive industry. In this paper we shall introduce a novel approach to
compute risk functions by using a combination of a highly non-linear processing
model in conjunction with a powerful information encoding procedure.
Specifically, the elements of information either static or dynamic that appear
in a road intersection scene are encoded by using directed positional acyclic
labeled graphs. The risk assessment problem is then reformulated in terms of an
inductive learning task carried out by a recursive neural network. Recursive
neural networks are connectionist models capable of solving supervised and
non-supervised learning problems represented by directed ordered acyclic
graphs. The potential of this novel approach is demonstrated through well
predefined scenarios. The major difference of our approach compared to others
is expressed by the fact of learning the structure of the risk. Furthermore,
the combination of a rich information encoding procedure with a generalized
model of dynamical recurrent networks permit us, as we shall demonstrate, a
sophisticated processing of information that we believe as being a first step
for building future advanced intersection safety systems


title: Quasi Ordinary Singularities, Essential Divisors and Poincare Series

abstract:
  We define Poincar\'e series associated to a toric or analytically irreducible
quasi-ordinary hypersurface singularity, (S,0), by a finite sequence of
monomial valuations, such that at least one of them is centered at the origin
0. This involves the definition of a multi-graded ring associated to the
analytic algebra of the singularity by the sequence of valuations. We prove
that the Poincar\'e series is a rational function with integer coefficients,
which can be defined also as an integral with respect of the Euler
characteristic, over the projectivization of the analytic algebra of the
singularity, of a function defined by the valuations. In particular, the
Poincar\'e series associated to the set of divisorial valuations associated to
the essential divisors, considered both over the singular locus and over the
point 0, is an analytic invariant of the singularity. In the quasi-ordinary
hypersurface case we prove that this Poincar\'e series determines and it is
determined by the normalized sequence of characteristic monomials. These
monomials in the analytic case define a complete invariant of the embedded
topological type of the hypersurface singularity.


title: Discovery of inward moving magnetic enhancements in sunspot penumbrae

abstract:
  Sunspot penumbrae show a fine structure in continuum intensity that displays
considerable dynamics. The magnetic field, in contrast, although also highly
structured, has appeared to be relatively static. Here we report the discovery
of inward moving magnetic enhancements in the penumbrae of two regular sunspots
based on time series of SOHO/MDI magnetograms. Local enhancements of the LOS
component of the magnetic field in the inner part of the penumbral region move
inward to the umbra-penumbra boundary with a radial speed of about 0.3 km
s$^{-1}$. These local inward-moving enhancements of the LOS component of the
magnetic fields appear to be relatively common. They are associated with dark
structures and tend to display downflows relatively to the penumbral
background. Possible explanations are discussed.


title:
TYC 1031 01262 1: The First Known Galactic Eclipsing Binary with a Type
  II Cepheid Component

abstract:
  We present the discovery and CCD observations of the first eclipsing binary
with a Type II Cepheid component in our Galaxy. The pulsation and orbital
periods are found to be 4.1523 and 51.38 days, respectively, i.e. this variable
is a system with the shortest orbital period among known Cepheid binaries.
Pulsations dominate the brightness variations. The eclipses are assumed to be
partial. The EB-subtype eclipsing light curve permits to believe that the
binary's components are non-spherical.


title: A new proof of Vazsonyi's conjecture

abstract:
  We present a self-contained proof that the number of diameter pairs among n
points in Euclidean 3-space is at most 2n-2. The proof avoids the ball
polytopes used in the original proofs by Grunbaum, Heppes and Straszewicz. As a
corollary we obtain that any three-dimensional diameter graph can be embedded
in the projective plane.


title:
Interaction between a fast rotating sunspot and ephemeral regions as the
  origin of the major solar event on 2006 December 13

abstract:
  The major solar event on 2006 December 13 is characterized by the
approximately simultaneous occurrence of a heap of hot ejecta, a great
two-ribbon flare and an extended Earth-directed coronal mass ejection. We
examine the magnetic field and sunspot evolution in active region NOAA AR
10930, the source region of the event, while it transited the solar disk centre
from Dec. 10 to Dec. 13. We find that the obvious changes in the active region
associated with the event are the development of magnetic shear, the appearance
of ephemeral regions and fast rotation of a smaller sunspot. Around the area of
the magnetic neutral line of the active region, interaction between the fast
rotating sunspot and the ephemeral regions triggers continual brightening and
finally the major flare. It is indicative that only after the sunspot rotates
up to 200$^{\circ}$ does the major event take place. The sunspot rotates at
least 240$^{\circ}$ about its centre, the largest sunspot rotation angle which
has been reported.


title:
Poloidal-toroidal decomposition in a finite cylinder. I. Influence
  matrices for the magnetohydrodynamic equations

abstract:
  The Navier-Stokes equations and magnetohydrodynamics equations are written in
terms of poloidal and toroidal potentials in a finite cylinder. This
formulation insures that the velocity and magnetic fields are divergence-free
by construction, but leads to systems of partial differential equations of
higher order, whose boundary conditions are coupled. The influence matrix
technique is used to transform these systems into decoupled parabolic and
elliptic problems. The magnetic field in the induction equation is matched to
that in an exterior vacuum by means of the Dirichlet-to-Neumann mapping, thus
eliminating the need to discretize the exterior. The influence matrix is scaled
in order to attain an acceptable condition number.


title: The physical meaning of Lagrange multipliers

abstract:
  A rule to assign a physical meaning to Lagrange multipliers is discussed.
Examples from mechanics, statistical mechanics and quantum mechanics are given.


title:
Influence of substrate charge on electron transport in narrow conducting
  channel

abstract:
  The electron transport in inhomogeneous quasi-one-dimensional conducting
channels on the liquid helium surface are studied in the temperature range
0.6-1.5 K. Inhomogeneities are created by charging the substrate on which the
conducting channels are formed. It has been established that the electron
conductivity practically does not depend on temperature at some substrate
charge. The results obtained are explained by localization of carriers and
creation of electron polarons.


title: Challenges for early discovery in ATLAS and CMS

abstract:
  The challenges for a discovery of new physics with 1 fb^-1 of LHC data for
ATLAS and CMS are discussed. Four specific examples are chosen: a deviation of
QCD jet distributions at high E_T, high-mass dilepton pairs, Higgs search in
the WW decay channel, and low mass supersymmetry.


title:
Privacy - an Issue for eLearning? A Trend Analysis Reflecting the
  Attitude of European eLearning Users

abstract:
  Availing services provided via the Internet became a widely accepted means in
organising one's life. Beside others, eLearning goes with this trend as well.
But, while employing Internet service makes life more convenient, at the same
time, it raises risks with respect to the protection of the users' privacy.
This paper analyses the attitudes of eLearning users towards their privacy by,
initially, pointing out terminology and legal issues connected with privacy.
Further, the concept and implementation as well as a result analysis of a
conducted study is presented, which explores the problem area from different
perspectives. The paper will show that eLearning users indeed care for the
protection of their personal information when using eLearning services.
However, their attitudes and behaviour slightly differ. In conclusion, we
provide first approaches of assisting possibilities for users how to resolve
the difference of requirements and their actual activities with respect to
privacy protection.


title:
Finite temperature corrections and embedded strings in noncommutative
  geometry and the standard model with neutrino mixing

abstract:
  The recent extension of the standard model to include massive neutrinos in
the framework of noncommutative geometry and the spectral action principle
involves new scalar fields and their interactions with the usual complex scalar
doublet. After ensuring that they bring no unphysical consequences, we address
the question of how these fields affect the physics predicted in Weinberg-Salam
theory, particularly in the context of the Electroweak phase transition.
Applying the Dolan-Jackiw procedure, we calculate the finite temperature
corrections, and find that the phase transition is first order. The new scalar
interactions significantly improve the stability of the Electroweak Z string,
through the ``bag'' phenomenon described by Watkins and Vachaspati. (Recently
cosmic strings have climbed back into interest due to new evidence). Sourced by
static embedded strings, an internal space analogy of Cartan's torsion is
drawn, and a possible Higgs-force-like `gravitational' effect of this
non-propagating torsion on the fermion masses is described. We also check that
the field generating the Majorana mass for the $\nu_R$ is non-zero in the
physical vacuum.


title: Maxwell strata in Euler's elastic problem

abstract:
  The classical Euler's problem on stationary configurations of elastic rod
with fixed endpoints and tangents at the endpoints is considered as a
left-invariant optimal control problem on the group of motions of a
two-dimensional plane $\E(2)$.
  The attainable set is described, existence and boundedness of optimal
controls are proved. Extremals are parametrized by Jacobi's elliptic functions
of natural coordinates induced by the flow of the mathematical pendulum on
fibers of the cotangent bundle of $\E(2)$.
  The group of discrete symmetries of Euler's problem generated by reflections
in the phase space of the pendulum is studied. The corresponding Maxwell points
are completely described via the study of fixed points of this group. As a
consequence, an upper bound on cut points in Euler's problem is obtained.


title: Axion Searches in the Past, at Present, and in the Near Future

abstract:
  Theoretical axion models state that axions are very weakly interacting
particles. In order to experimentally detect them, the use of colorful and
inspired techniques becomes mandatory. There is a wide variety of experimental
approaches that were developed during the last 30 years, most of them make use
of the Primakoff effect, by which axions convert into photons in the presence
of an electromagnetic field. We review the experimental techniques used to
search for axions and will give an outlook on experiments planned for the near
future.


title: Monitoring Air Moisture with Laser Absorption Spectroscopy

abstract:
  Determination of air density and the quantitative estimates of water vapour
adsorbed or desorbed by the surface of mass standard, remain the principals
sources of uncertainties when weighing mass standard made from stainless steel
or super alloy. The classical method, for air density determination, use the so
called CIPM-1981/91 formula and the measured air parameters. An other approach
is based only on the results of comparisons, realized successively in air and
in vacuum, between special artefacts. The distribution and the state of water
molecules inside the chamber of mass comparator influence the results of
weighing. Also, the instruments used for air moisture measurement are either,
not very sensitive (capacitive hygrometer) or disturbing for environment
(dew-point hygrometer). To control that, a proposal method is given and
observations of water vapour behaviour inside the enclosure for different
conditions are reported. Keywords. mass metrology, air density, water vapour


title: Effects of the anomaly on the two-flavor QCD chiral phase transition

abstract:
  We use strongly coupled lattice QED with two flavors of massless staggered
fermions to model the physics of pions in two-flavor massless QCD. Our model
has the right chiral symmetries and can be studied efficiently with cluster
algorithms. In particular we can tune the strength of the QCD anomaly and thus
study its effects on the chiral phase transition. Our study confirms the widely
accepted view point that the chiral phase transition is first order in the
absence of the anomaly. Turning on the anomaly weakens the transition and turns
it second order at a critical anomaly strength. The anomaly strength at the
tricritical point is characterized using $r = (M_{\eta'}-M_{\pi})/\rho_{\eta'}$
where $M_{\eta'}, M_{\pi}$ are the screening masses of the anomalous and
regular pions and $\rho_{\eta'}$ is the mass-scale that governs the low energy
fluctuations of the anomalous symmetry. We estimate that $r \sim 7 $ in our
model. This suggests that a strong anomaly at the two-flavor QCD chiral phase
transition is necessary to wash out the first order transition.


title: The Black Hole Mass - Spheroid Luminosity relation

abstract:
  The differing M_bh-Luminosity relations presented in McLure & Dunlop, Marconi
& Hunt and Erwin et al. have been investigated. A number of issues have been
identified and addressed in each of these studies, including but not limited
to: the removal of a dependency on the Hubble constant; a correction for dust
attenuation in the bulges of disc galaxies; the identification of lenticular
galaxies previously treated as elliptical galaxies; and application of the same
(Y|X) regression analysis. These adjustments result in relations which now
predict similar black hole masses. The optimal K-band relation is
log(M_bh/M_sun) = -0.37(+/-0.04)[M_K +24] + 8.29(+/-0.08), with a total (not
intrinsic) scatter in log M_bh equal to 0.33 dex. This level of scatter is
similar to the value of 0.34 dex from the M_bh-sigma relation of Tremaine et
al. and compares favourably with the value of 0.31 dex from the M_bh-n relation
of Graham & Driver. Using different photometric data, consistent relations in
the B- and R-band are also provided, although we do note that the small (N=13)
R-band sample used by Erwin et al. is found here to have a slope of
-0.30(+/-0.06) and a total scatter of 0.31 dex. Performing a symmetrical
regression on the larger K-band sample gives a slope of -0.40, implying M_bh ~
L^{1.00}. Implications for galaxy-black hole coevolution, in terms of dry
mergers, are briefly discussed, as are predictions for intermediate mass black
holes. Finally, as previously noted by Tundo et al., a potential bias in the
galaxy sample used to define the M_bh-L relations is shown and a corrective
formula provided.


title: Optical detection of anyons in an integer quantum Hall system

abstract:
  Further experiments showed the incorrectness of proposed interpretation. We
have studied an in-plane resonant photo-response of an integer quantum Hall
system in which time-reversal and parity symmetries are broken. The response of
initially homogeneous system exhibits a complicate spatial structure sensitive
to the system macroscopic sizes. Conceptually, the effect is explained by the
large-scale quantum entanglement originated from an indistinguishable particle
statistics. The concept is supported by the demonstration of
entanglement-related transfer of information in the system interior.


title: Generating Unexpected Spin Echoes in Dipolar Solids with Pi Pulses

abstract:
  This submission has been withdrawn by arXiv administrators because it is a
duplicate of 0705.0667.


title:
Gradual Disappearance of the Fermi Surface near the Metal-Insulator
  Transition in La$_{1-x}$Sr$_{x}$MnO$_{3}$

abstract:
  We report the first observation of changes in the electronic structure of
La$_{1-x}$Sr$_{x}$MnO$_{3}$ (LSMO) across the filling-control metal-insulator
(MI) transition by means of in situ angle-resolved photoemission spectroscopy
(ARPES) of epitaxial thin films. The Fermi surface gradually disappears near
the MI transition by transferring the spectral weight from the coherent band
near the Fermi level ($E_{F}$) to the lower Hubbard band, whereas a pseudogap
behavior also exists in the ARPES spectra in the close vicinity of $E_{F}$ for
the metallic LSMO. These results indicate that the spectral weight transfer
derived from strong electron-electron interaction dominates the gap formation
in LSMO associated with the filling-control MI transition.


title:
Critical conductance of two-dimensional chiral systems with random
  magnetic flux

abstract:
  The zero temperature transport properties of two-dimensional lattice systems
with static random magnetic flux per plaquette and zero mean are investigated
numerically. We study the two-terminal conductance and its dependence on
energy, sample size, and magnetic flux strength. The influence of boundary
conditions and of the oddness of the number of sites in the transverse
direction is also studied. We confirm the existence of a critical chiral state
in the middle of the energy band and calculate the critical exponent nu=0.35
+/- 0.03 for the divergence of the localization length. The sample averaged
scale independent critical conductance <g>_c turns out to be a function of the
amplitude of the flux fluctuations whereas the variance of the respective
conductance distributions appears to be universal. All electronic states
outside of the band center are found to be localized.


title: The formation of S0 galaxies: evidence from globular clusters

abstract:
  We test the theory that lenticular (S0) galaxies form from spirals whose star
formation has been shut down. We use the globular cluster specific frequency
S_N, defined as the number of globular clusters normalised by the galaxy
luminosity as a diagnostic. NTT/EMMI long-slit spectroscopic observations of 11
S0 galaxies at z < 0.006 are used to measure the absorption-line indices,
Hdelta, Hgamma, Mgb, Fe5270 and Fe5335 within the central r_e/8. By inverting
single-stellar population models, luminosity-weighted mean ages, metallicities
and alpha-element abundance ratios are derived. We estimate the amount of
fading a galaxy has undergone by comparing each galaxy's S_N with its deviation
from the mean spiral S_N. Galaxies with higher S_N have older stellar
populations. Moreover, we find that the zero-point and amount of fading is
consistent with a scenario where lenticulars are formed by the quenching of
star formation in spiral galaxies. Our data also rule out any formation method
for S0s which creates a large number of new globular clusters. We confirm that
previous results showing a relationship between S_N and color are driven by the
S_N - Age relation. Five galaxies show detectable Hbeta, [OIII], Halpha or
[NII] emission lines. However, only in the two youngest galaxies is this
emission unambiguously from star formation. Our results are consistent with the
theory that S0 galaxies are formed when gas in normal spirals is removed,
possibly as a result of a change in environment. The on-going star formation in
the youngest galaxies hints that the timescale of quenching is ~< 1 Gyr. We
speculate, therefore, that the truncation of star formation is a rather gentle
process unlikely to involve a rapid burst of star formation.


title: Tensor meson exchange at low energies

abstract:
  We complete the analysis of meson resonance contributions to chiral
low-energy constants of O(p^4) by including all quark-antiquark bound states
with orbital angular momentum less or equal to one. Different tensor meson
Lagrangians used in previous work are shown to produce the same final results
for the low-energy constants once QCD short-distance constraints are properly
implemented. We also discuss the possible relevance of axial-vector mesons with
odd C-parity.


title: N^p Spaces

abstract:
  We introduce a new norm, called $N^{p}$-norm $(1\leq{p}<\infty)$ on a space
$N^{p}(V,W)$ where $V$ and $W$ are abstract operator spaces. By proving some
fundamental properties of the space $N^{p}(V,W)$, we also obtain that if $W$ is
complete, then the space $N^{p}(V,W)$ is also a Banach space with respect to
this norm for $1\leq{p}<\infty$.


title:
Understanding fragility in supercooled Lennard-Jones mixtures. I.
  Locally preferred structures

abstract:
  We reveal the existence of systematic variations of isobaric fragility in
different supercooled Lennard-Jones binary mixtures by performing molecular
dynamics simulations. The connection between fragility and local structures in
the bulk is analyzed by means of a Voronoi construction. We find that clusters
of particles belonging to locally preferred structures form slow, long-lived
domains, whose spatial extension increases by decreasing temperature. As a
general rule, a more rapid growth, upon supercooling, of such domains is
associated to a more pronounced super-Arrhenius behavior, hence to a larger
fragility.


title: The Integrals of Motion for the Deformed W-Algebra Wqt(sl_N^)

abstract:
  We review the deformed W-algebra Wqt(sl_N^) and its screening currents. We
explicitly construct the local integrals of motion I_n for this deformed
W-algebra. We explicitly construct the nonlocal integrals of motion G_n by
means of the screening currents. Our integrals of motion commute with each
other, and give the elliptic version of those for the Virasoro algebra and the
W-algebra W(sl_3^), obtained by V.Bazhanov, A.Hibberd, S.Khoroshkin, S.Lukyanov
and Al.Zamolodchikov.


title: A Photoionization Model For The Soft X-Ray Spectrum Of NGC 4151

abstract:
  We present analysis of archival data from multiple XMM-Newton observations of
the Seyfert 1 galaxy NGC 4151. Spectral data from the RGS instruments reveal
several strong soft X-ray emission lines, chiefly from hydrogen-like and
helium-like oxygen, nitrogen, neon and carbon. Radiative recombination continua
(RRC) from oxygen and carbon are also detected. Our analysis suggests that the
emission data are consistent with photoionization. Using the CLOUDY
photoionization code, we found that, while a two-component, high column density
model (10e23 cm-2) with low covering factor proved adequate in reproducing all
detected Lyman series lines, it proved insufficient in modeling He-like
triplets observed (neon, oxygen, and nitrogen). If resonance line data were
ignored, the two-component model was sufficient to match flux from
intercombination and forbidden lines. However, with the inclusion of resonance
line data, He-like triplets could no longer be modeled with only two
components. We found that observed oxygen G and R ratios especially were
anomalous in parameter space investigated. We investigated, and were forced to
dismiss, the possibility that a third purely collisional component could be
responsible for enhanced resonance line contributions. We succeeded in modeling
the observed spectrum with the addition of a third, lower column density
(10e20.5 cm-2) component with non-zero microturbulence and high covering
factor. While sufficient to reproduce observed soft X-ray flux, our model faces
certain shortcomings, particularly in a less-than-ideal visual fit to the line
profile. Two of the three emission model components bear similarities to
components determined by Kraemer et al. (2005) in their study of NGC 4151
absorption spectra.


title:
Understanding fragility in supercooled Lennard-Jones mixtures. II.
  Potential energy surface

abstract:
  We numerically investigated the connection between isobaric fragility and the
properties of high-order stationary points of the potential energy surface in
different supercooled Lennard-Jones mixtures. The increase of effective
activation energies upon supercooling appears to be driven by the increase of
average potential energy barriers measured by the energy dependence of the
fraction of unstable modes. Such an increase is sharper, the more fragile is
the mixture. Correlations between fragility and other properties of high-order
stationary points, including the vibrational density of states and the
localization features of unstable modes, are also discussed.


title: Thermal Radiation From Carbon Nanotube in Terahertz Range

abstract:
  The thermal radiation from an isolated finite-length carbon nanotube (CNT) is
theoretically investigated both in near- and far-field zones. The formation of
the discrete spectrum in metallic CNTs in the terahertz range is demonstrated
due to the reflection of strongly slowed-down surface-plasmon modes from CNT
ends. The effect does not appear in semiconductor CNTs. The concept of CNT as a
thermal nanoantenna is proposed.


title: Hybrid Quantum Cloning Machine

abstract:
  In this work, we introduce a special kind of quantum cloning machine called
Hybrid quantum cloning machine. The introduced Hybrid quantum cloning machine
or transformation is nothing but a combination of pre-existing quantum cloning
transformations. In this sense it creates its own identity in the field of
quantum cloners. Hybrid quantum cloning machine can be of two types: (i) State
dependent and (ii) State independent or Universal. We study here the above two
types of Hybrid quantum cloning machines. Later we will show that the state
dependent hybrid quantum-cloning machine can be applied on only four input
states. We will also find in this paper another asymmetric universal quantum
cloning machine constructed from the combination of optimal universal B-H
quantum cloning machine and universal anti-cloning machine. The fidelities of
the two outputs are different and their values lie in the neighborhood of
${5/6} $


title: Dyons with potentials: duality and black hole thermodynamics

abstract:
  A modified version of the double potential formalism for the electrodynamics
of dyons is constructed. Besides the two vector potentials, this manifestly
duality invariant formulation involves four additional potentials, scalar
potentials which appear as Lagrange multipliers for the electric and magnetic
Gauss constraints and potentials for the longitudinal electric and magnetic
fields. In this framework, a static dyon appears as a Coulomb-like solution
without string singularities. Dirac strings are needed only for the Lorentz
force law, not for Maxwell's equations. The magnetic charge no longer appears
as a topological conservation law but as a surface integral on a par with
electric charge. The theory is generalized to curved space. As in flat space,
the string singularities of dyonic black holes are resolved. As a consequence
all singularities are protected by the horizon and the thermodynamics is shown
to follow from standard arguments in the grand canonical ensemble.


title:
Numerical study of liquid metal flow in a rectangular duct under the
  influence of a heterogenous magnetic field

abstract:
  The paper presents 3D numerical results for the laminar liquid metal flow in
a rectangular duct compared with experimental results. It is shown that the
magnetic interaction parameter $N$ is the main parameter governing the flow
provided turbulent pulsations are locally suppressed by magnetic field.


title: Formation of OB Associations in Galaxies

abstract:
  We consider the formation of OB associations from two perspectives: (a) the
fractional gas consumption in star formation,epsilon, per dynamical time scale
t_dyn in a galaxy, and (b) the origin of the so-called Kennicutt-Schmidt law
that the rate of star formation per unit area is proportional to a power,
alpha, of the surface density in HI and H_2 gas when certain thresholds are
crossed. The empirical findings that epsilon is approximately 0.01 and alpha is
approximately 1.4 or 1.5 have simple explanations if the rate of star formation
is magnetically regulated. An empirical test of the ideas resides in an
analysis of why giant OB associations are ``strung out like pearls along the
arms" of spiral galaxies.


title: Moving Walkways, Escalators, and Elevators

abstract:
  We study a simple geometric model of transportation facility that consists of
two points between which the travel speed is high. This elementary definition
can model shuttle services, tunnels, bridges, teleportation devices, escalators
or moving walkways. The travel time between a pair of points is defined as a
time distance, in such a way that a customer uses the transportation facility
only if it is helpful.
  We give algorithms for finding the optimal location of such a transportation
facility, where optimality is defined with respect to the maximum travel time
between two points in a given set.


title: Exponential sums with coefficients 0 or 1 and concentrated L^{p} norms

abstract:
  Let f be a sum of exponentials of the form exp(2 pi i N x), where the N are
distinct integers. We call f an idempotent trigonometric polynomial (because
the convolution of f with itself is f) or, simply, an idempotent. We show that
for every p > 1, and every set E of the torus T = R/Z with |E| > 0, there are
idempotents concentrated on E in the Lp sense. More precisely, for each p > 1,
there is an explicitly calculated constant Cp > 0 so that for each E with |E| >
0 and epsilon > 0 one can find an idempotent f such that the pth root of the
ratio of the integral over E of the pth power of |f| to the integral over T of
the pth power of |f| is greater than Cp - epsilon. This is in fact a lower
bound result and, though not optimal, it is close to the best that our method
gives. We also give both heuristic and computational evidence for the still
open problem of whether the Lp concentration phenomenon fails to occur when p =
1.


title:
Bond formation and slow heterogeneous dynamics in adhesive spheres with
  long--ranged repulsion: Quantitative test of Mode Coupling Theory

abstract:
  A colloidal system of spheres interacting with both a deep and narrow
attractive potential and a shallow long-ranged barrier exhibits a prepeak in
the static structure factor. This peak can be related to an additional
mesoscopic length scale of clusters and/or voids in the system. Simulation
studies of this system have revealed that it vitrifies upon increasing the
attraction into a gel-like solid at intermediate densities. The dynamics at the
mesoscopic length scale corresponding to the prepeak represents the slowest
mode in the system. Using mode coupling theory with all input directly taken
from simulations, we reveal the mechanism for glassy arrest in the system at
40% packing fraction. The effects of the low-q peak and of polydispersity are
considered in detail. We demonstrate that the local formation of physical bonds
is the process whose slowing down causes arrest.
  It remains largely unaffected by the large-scale heterogeneities, and sets
the clock for the slow cluster mode. Results from mode-coupling theory without
adjustable parameters agree semi-quantitatively with the local density
correlators but overestimate the lifetime of the mesoscopic structure (voids).


title:
A Rigorous Path Integral for Supersymmetric Quantum Mechanics and the
  Heat Kernel

abstract:
  In a rigorous construction of the path integral for supersymmetric quantum
mechanics on a Riemann manifold, based on B\"ar and Pf\"affle's use of
piecewise geodesic paths, the kernel of the time evolution operator is the heat
kernel for the Laplacian on forms. The path integral is approximated by the
integral of a form on the space of piecewise geodesic paths which is the
pullback by a natural section of Mathai and Quillen's Thom form of a bundle
over this space.
  In the case of closed paths, the bundle is the tangent space to the space of
geodesic paths, and the integral of this form passes in the limit to the
supertrace of the heat kernel.


title: Hydrocarbon anions in interstellar clouds and circumstellar envelopes

abstract:
  The recent detection of the hydrocarbon anion C6H- in the interstellar medium
has led us to investigate the synthesis of hydrocarbon anions in a variety of
interstellar and circumstellar environments. We find that the anion/neutral
abundance ratio can be quite large, on the order of at least a few percent,
once the neutral has more than five carbon atoms. Detailed modeling shows that
the column densities of C6H- observed in IRC+10216 and TMC-1 can be reproduced.
Our calculations also predict that other hydrocarbon anions, such as C4H- and
C8H-, are viable candidates for detection in IRC+10216, TMC-1 and
photon-dominated regions such as the Horsehead Nebula.


title: Additive preserving rank one maps on Hilbert $C^\ast$-modules

abstract:
  In this paper, we characterize a class of additive maps on Hilbert
$C^\ast$-modules which maps a "rank one" adjointable operators to another rank
one operators.


title:
Simultaneous recording of two- and four-probe resistive transitions in
  doped laser-processed Sr-Ru-O

abstract:
  To confirm previously reported evidence of high-temperature superconductivity
in laser processed Sr-Ru-O, we performed simultaneous two-probe and four-probe
resistive measurements using bar-geometry samples. A superconducting-type
transition with an onset at about 250K was recorded in one of the samples,
consistent with our previously reported measurements in the X-bridge geometry.
Some compositional details of the samples are also provided which were not
known at the time of previous web-publication.


title: The star-forming content of the W3 giant molecular cloud

abstract:
  We have surveyed a ~0.9-square-degree area of the W3 giant molecular cloud
and star-forming region in the 850-micron continuum, using the SCUBA bolometer
array on the James Clerk Maxwell Telescope. A complete sample of 316 dense
clumps was detected with a mass range from around 13 to 2500 Msun. Part of the
W3 GMC is subject to an interaction with the HII region and fast stellar winds
generated by the nearby W4 OB association. We find that the fraction of total
gas mass in dense, 850-micron traced structures is significantly altered by
this interaction, being around 5% to 13% in the undisturbed cloud but ~25 - 37%
in the feedback-affected region. The mass distribution in the detected clump
sample depends somewhat on assumptions of dust temperature and is not a simple,
single power law but contains significant structure at intermediate masses.
This structure is likely to be due to crowding of sources near or below the
spatial resolution of the observations. There is little evidence of any
difference between the index of the high-mass end of the clump mass function in
the compressed region and in the unaffected cloud. The consequences of these
results are discussed in terms of current models of triggered star formation.


title: Spectral method for matching exterior and interior elliptic problems

abstract:
  A spectral method is described for solving coupled elliptic problems on an
interior and an exterior domain. The method is formulated and tested on the
two-dimensional interior Poisson and exterior Laplace problems, whose solutions
and their normal derivatives are required to be continuous across the
interface. A complete basis of homogeneous solutions for the interior and
exterior regions, corresponding to all possible Dirichlet boundary values at
the interface, are calculated in a preprocessing step. This basis is used to
construct the influence matrix which serves to transform the coupled boundary
conditions into conditions on the interior problem. Chebyshev approximations
are used to represent both the interior solutions and the boundary values. A
standard Chebyshev spectral method is used to calculate the interior solutions.
The exterior harmonic solutions are calculated as the convolution of the
free-space Green's function with a surface density; this surface density is
itself the solution to an integral equation which has an analytic solution when
the boundary values are given as a Chebyshev expansion. Properties of Chebyshev
approximations insure that the basis of exterior harmonic functions represents
the external near-boundary solutions uniformly. The method is tested by
calculating the electrostatic potential resulting from charge distributions in
a rectangle. The resulting influence matrix is well-conditioned and solutions
converge exponentially as the resolution is increased. The generalization of
this approach to three-dimensional problems is discussed, in particular the
magnetohydrodynamic equations in a finite cylindrical domain surrounded by a
vacuum.


title: Scalar field confinement as a model for accreting systems

abstract:
  We investigate the possibility to localize scalar field configurations as a
model for black hole accretion. We analyze and resolve difficulties encountered
when localizing scalar fields in General Relativity. We illustrate this ability
with a simple spherically symmetric model which can be used to study features
of accreting shells around a black hole. This is accomplished by prescribing a
scalar field with a coordinate dependent potential. Numerical solutions to the
Einstein-Klein-Gordon equations are shown, where a scalar filed is indeed
confined within a region surrounding a black hole. The resulting spacetime can
be described in terms of simple harmonic time dependence.


title:
Blazar Duty-Cycle at gamma-ray Frequecies: Constraints from
  Extragalactic Background Radiation and Prospects for AGILE and GLAST

abstract:
  We take into account the constraints from the observed extragalactic
gamma-ray background to estimate the maximum duty cycle allowed for a selected
sample of WMAP Blazars, in order to be detectable by AGILE and GLAST gamma-ray
experiments. For the nominal sensitivity values of both instruments, we
identify a subset of sources which can in principle be detectable also in a
steady state without over-predicting the extragalactic background. This work is
based on the results of a recently derived Blazar radio LogN-LogS obtained by
combining several multi-frequency surveys.


title:
Almost the supersymmetric Standard Model from intersecting D6-branes on
  the Z_6' orientifold

abstract:
  Intersecting stacks of supersymmetric fractional branes on the Z_6'
orientifold may be used to construct the supersymmetric Standard Model. If a,b
are the stacks that generate the SU(3)_{colour} and SU(2)_L gauge particles,
then, in order to obtain {\em just} the chiral spectrum of the (supersymmetric)
Standard Model (with non-zero Yukawa couplings to the Higgs mutiplets), it is
necessary that the number of intersections a \cap b of the stacks a and b, and
the number of intersections a \cap b' of a with the orientifold image b' of b
satisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is also necessary that there is
no matter in symmetric representations of the gauge group, and not too much
matter in antisymmetric representations, on either stack. Fractional branes
having all of these properties may be constructed on the Z_6' orientifold. We
construct a (four-stack) model with two further stacks, each with just a single
brane, which has precisely the matter spectrum of the supersymmetric Standard
Model, including a single pair of Higgs doublets. However, the gauge group is
SU(3)_{\rm colour} x SU(2)_L x U(1)_Y x U(1)_H. Only the Higgs doublets are
charged with respect to U(1)_H.


title:
SFI++ II: A New I-band Tully-Fisher Catalog, Derivation of Peculiar
  Velocities and Dataset Properties

abstract:
  We present the SFI++ dataset, a homogeneously derived catalog of photometric
and rotational properties and the Tully-Fisher distances and peculiar
velocities derived from them. We make use of digital optical images, optical
long-slit spectra, and global HI line profiles to extract parameters of
relevance to disk scaling relations, incorporating several previously published
datasets as well as a new photometric sample of some 2000 objects. According to
the completeness of available redshift samples over the sky area, we exploit
both a modified percolation algorithm and the Voronoi-Delaunay method to assign
individual galaxies to groups as well as clusters, thereby reducing scatter
introduced by local orbital motions. We also provide corrections to the
peculiar velocities for both homogeneous and inhomogeneous Malmquist bias,
making use of the 2MASS Redshift Survey density field to approximate large
scale structure. We summarize the sample selection criteria, corrections made
to raw observational parameters, the grouping techniques, and our procedure for
deriving peculiar velocities. The final SFI++ peculiar velocity catalog of 4861
field and cluster galaxies is large enough to permit the study not just of the
global statistics of large scale flows but also of the {\it details} of the
local velocity field.


title: Theory of a Magnetically-Controlled Quantum-Dot Spin Transistor

abstract:
  We examine transport through a quantum dot coupled to three ferromagnetic
leads in the regime of weak tunnel coupling. A finite source-drain voltage
generates a nonequilibrium spin on the otherwise non-magnetic quantum dot. This
spin accumulation leads to magnetoresistance. A ferromagnetic but current-free
base electrode influences the quantum-dot spin via incoherent spin-flip
processes and coherent spin precession. As the dot spin determines the
conductance of the device, this allows for a purely magnetic transistor-like
operation. We analyze the effect of both types of processes on the electric
current in different geometries.


title: Broadening effects due to alloy scattering in Quantum Cascade Lasers

abstract:
  We report on calculations of broadening effects in QCL due to alloy
scattering. The output of numerical calculations of alloy broadened Landau
levels compare favorably with calculations performed at the self-consistent
Born approximation. Results for Landau level width and optical absorption are
presented. A disorder activated forbidden transition becomes significant in the
vicinity of crossings of Landau levels which belong to different subbands. A
study of the time dependent survival probability in the lowest Landau level of
the excited subband is performed. It is shown that at resonance the population
relaxation occurs in a subpicosecond scale.


title: New Search for tau -> mu gamma and tau -> e gamma Decays at Belle

abstract:
  We report on a search for the lepton flavor violating tau- -> mu- gamma and
tau- -> e- gamma decays based on 535/fb of data accumulated at the Belle
experiment. No signal is found and we set 90% confidence level upper limits on
the branching ratios Br(tau- -> mu- gamma) < 4.5x10^-8 and Br(tau- -> e- gamma)
< 1.2x10^-7.


title:
Dipole Formation at Interfaces of Alkanethiolate Self-assembled
  Monolayers and Ag(111)

abstract:
  The formation of interface dipoles in self-assembled monolayers (SAMs) of
--CH$_3$ and --CF$_3$ terminated short-chain alkanethiolates on Ag(111) is
studied by means of density functional theory calculations. The interface
dipoles are characterized by monitoring the change in the surface work function
upon adsorption of the SAM. We compare results obtained for SAMs in structures
with a different packing density of molecules, i.e. {$(\sqrt{7}\times\sqrt{7})
R19.1^{\circ}$}, {$(\sqrt{3}\times\sqrt{3}) R30^{\circ}$}, and {p(2$\times$2)}.
The work function of alkanethiolate SAMs on silver depends weakly on the
packing density; that of fluorinatedalkanethiolates shows a stronger
dependance. The results are analyzed in terms of two nearly independent
contributions to the interface dipole. These originate respectively from the
molecular dipoles and from a charge transfer between the metal surface and the
molecules. The charge transfer is determined by the silver--sulfur bond and it
is independent of the electronegativity of the molecules.


title:
Nanostructure and velocity of field-driven solid-on-solid interfaces
  moving under a phonon-assisted dynamic

abstract:
  The nanoscopic structure and the stationary propagation velocity of
(1+1)-dimensional solid-on-solid interfaces in an Ising lattice-gas model,
which are driven far from equilibrium by an applied force, such as a magnetic
field or a difference in (electro)chemical potential, are studied by an
analytic nonlinear-response approximation together with kinetic Monte Carlo
simulations. Here we consider the case that the system is coupled to a
two-dimensional phonon bath. In the resulting dynamic, transitions that
conserve the system energy are forbidden, and the effects of the applied force
and the interaction energies do not factorize (a so-called hard dynamic). In
full agreement with previous general theoretical results we find that the local
interface width changes dramatically with the applied force. However, in
contrast with other hard dynamics, this change is nonmonotonic in the driving
force. However, significant differences between theory and simulation are found
near two special values of the driving force, where certain transitions allowed
by the solid-on-solid model become forbidden by the phonon-assisted dynamic.
Our results represent a significant step toward providing a solid physical
foundation for kinetic Monte Carlo simulations.


title:
The Kalman--Yakubovich--Popov inequality for passive discrete
  time-invariant systems

abstract:
  We consider the Kalman - Yakubovich - Popov (KYP) inequality \[
\begin{pmatrix} X-A^* XA-C^*C & -A^*X B- C^*D\cr -B^*X A-D^* C & I- B^*X B-D^*D
\end{pmatrix} \ge 0 \] for contractive operator matrices $ \begin{pmatrix}
A&B\cr C &D \end{pmatrix}:\begin{pmatrix}\mathfrak{H}\cr\mathfrak{M}
\end{pmatrix}\to\begin{pmatrix}\mathfrak{H}\cr\mathfrak{N} \end{pmatrix}, $
where $\mathfrak{H},$ $\mathfrak{M}$, and $\mathfrak{N}$ are separable Hilbert
spaces. We restrict ourselves to the solutions $X$ from the operator interval
$[0, I_\mathfrak{H}]$. Several equivalent forms of KYP are obtained. Using the
parametrization of the blocks of contractive operator matrices, the Kre\u{\i}n
shorted operator, and the M\"obius representation of the Schur class
operator-valued function we find several equivalent forms of the KYP
inequality. Properties of solutions are established and it is proved that the
minimal solution of the KYP inequality satisfies the corresponding algebraic
Riccati equation and can be obtained by the iterative procedure with the
special choice of the initial point. In terms of the Kre\u{\i}n shorted
operators a necessary condition and some sufficient conditions for uniqueness
of the solution are established.


title:
The magnetic groundstate of an experimental $S=1/2$ kagom\'{e}
  antiferromagnet

abstract:
  We have carried out neutron powder-diffraction measurements on zinc
paratacamite Zn$_x$Cu$_{4-x}$(OH)$_6$Cl$_2$ with $x=1$, and studied the heat
capacity in fields of up to 9 T for $0.5 \leq x \leq 1$. The $x=1$ phase has
recently been shown to be an outstanding realisation of the $S=1/2$ kagom\'{e}
antiferromagnet. A weak mixing of Cu$^{2+}$/Zn$^{2+}$ between the Cu and the Zn
sites, corresponding to $\sim 9$% of all Cu$^{2+}$ for $x=1$, is observed using
neutron diffraction. This ``antisite disorder'' provides a consistent
explanation of the field dependence of the heat capacity for $0.8 \leq x \leq
1$. From comparison of the derived Cu$^{2+}$ occupancy of the Zn sites for $x =
0.8... 1$ with the magnetic susceptibility, we argue that for $x = 0.8... 1$
zinc paratacamite is a spin liquid without a spin gap. The presence of unpaired
but nevertheless strongly interacting spins gives rise to a macroscopically
degenerate ground state manifold, with increasingly glassy dynamics as $x$ is
lowered.


title: Hamiltonian Unification of General Relativity and Standard Model

abstract:
  The Hamiltonian approach to the General Relativity and the Standard Model is
studied in the context of its consistency with the Newton law, the Higgs
effect, the Hubble cosmological evolution and the Cosmic Microwave Background
radiation physics.
  The version of the Higgs potential is proposed, where its constant parameter
is replaced by the dynamic zeroth Fourier harmonic of the very Higgs field. In
this model, the extremum of the Coleman--Weinberg effective potential obtained
from the unit vacuum--vacuum transition amplitude immediately predicts mass of
Higgs field and removes tremendous vacuum cosmological density.
  We show that the relativity principles unambiguously treat the Planck epoch,
in the General Relativity, as the present-day one. It was shown that there are
initial data of the Electro-Weak epoch compatible with supposition that all
particles in the Universe are final products of decays of primordial Higgs
particles and W-, Z-vector bosons created from vacuum at the instant treated as
the "Big-Bang".


title: High-precision calculations of In I and Sn II atomic properties

abstract:
  We use all-order relativistic many-body perturbation theory to study 5s^2 nl
configurations of In I and Sn II. Energies, E1-amplitudes, and hyperfine
constants are calculated using all-order method, which accounts for single and
double excitations of the Dirac-Fock wave functions.