title: Multiple disjunction for spaces of Poincare embeddings

abstract:
  We obtain multirelative connectivity statements about spaces of Poincare
embeddings, as precursors to analogous statements about spaces of smooth
embeddings. The latter are the key to convergence results in the functor
calculus approach to spaces of embeddings.


title:
Magneto-transport and Magneto-dielectric effect in Bi-based Perovskite
  Manganites

abstract:
  The effect of cobalt and nickel substitutions for manganese on the physical
properties of the perovskite manganite La1.2Bi0.8Mn2-x(Ni/Co)xO6+d, with x =
0.0-0.8, has been investigated. It is observed that the ferromagnetism is
enhanced, TC being increased from 103 K for the parent compound (x = 0.0) to
178 K for Ni-phase, and to 181 K for the Co-phase (x = 0.8). Moreover, the
systems remain insulating and depict relatively large values of
magnetoresistance effect at low temperatures (up to 67 % at 90K and 70 kOe, for
x = 0.0 phase). These phenomena are interpreted by means of electronic phase
separation, where the ferromagnetic Mn4+/Ni2+ and Mn4+/Co2+ interactions
reinforce the Mn3+/Mn4+ interactions by super-exchange interaction. The
dielectric measurements below the magnetic transition temperatures exhibit weak
magneto-dielectric effect of around 0.25% at 80K, which may be due to
spin-lattice interaction.


title:
Pseudo-Random Bit Generation based on 2D chaotic maps of logistic type
  and its Applications in Chaotic Cryptography

abstract:
  Pseudo-Random Bit Generation (PRBG) is required in many aspects of
cryptography as well as in other applications of modern security engineering.
In this work, PRBG based on 2D symmetrical chaotic mappings of logistic type is
considered. The sequences generated with a chaotic PRBG of this type, are
statistically tested and the computational effectiveness of the generators is
estimated. Considering this PRBG valid for cryptography, the size of the
available key space is also calculated. Different cryptographic applications
can be suitable to this PRBG, being a stream cipher probably the most immediate
of them.


title: New Upper Bounds on Sizes of Permutation Arrays

abstract:
  A permutation array(or code) of length $n$ and distance $d$, denoted by
$(n,d)$ PA, is a set of permutations $C$ from some fixed set of $n$ elements
such that the Hamming distance between distinct members
$\mathbf{x},\mathbf{y}\in C$ is at least $d$. Let $P(n,d)$ denote the maximum
size of an $(n,d)$ PA. New upper bounds on $P(n,d)$ are given. For constant
$\alpha,\beta$ satisfying certain conditions, whenever $d=\beta n^{\alpha}$,
the new upper bounds are asymptotically better than the previous ones.


title:
Effect of fluctuations on the superfluid-supersolid phase transition on
  the lattice

abstract:
  We derive a controlled expansion into mean field plus fluctuations for the
extended Bose-Hubbard model, involving interactions with many neighbors on an
arbitrary periodic lattice, and study the superfluid-supersolid phase
transition. Near the critical point, the impact of (thermal and quantum)
fluctuations on top of the mean field grows, which entails striking effects,
such as negative superfluid densities and thermodynamical instability of the
superfluid phase -- earlier as expected from mean-field dynamics. We also
predict the existence of long-lived "supercooled" states with anomalously large
quantum fluctuations.


title: Cobweb posets - Recent Results

abstract:
  Cobweb posets uniquely represented by directed acyclic graphs are such a
generalization of the Fibonacci tree that allows joint combinatorial
interpretation for all of them under admissibility condition. This
interpretation was derived in the source papers ([6,7] and references therein
to the first author).[7,6,8] include natural enquires to be reported on here.
The purpose of this presentation is to report on the progress in solving
computational problems which are quite easily formulated for the new class of
directed acyclic graphs interpreted as Hasse diagrams. The problems posed there
and not yet all solved completely are of crucial importance for the vast class
of new partially ordered sets with joint combinatorial interpretation. These so
called cobweb posets - are relatives of Fibonacci tree and are labeled by
specific number sequences - natural numbers sequence and Fibonacci sequence
included. The cobweb posets might be identified with a chain of di-bicliques
i.e. by definition - a chain of complete bipartite one direction digraphs [6].
Any chain of relations is therefore obtainable from the cobweb poset chain of
complete relations via deleting arcs in di-bicliques of the complete relations
chain. In particular we response to one of those problems [1].


title: New Lower Bounds on Sizes of Permutation Arrays

abstract:
  A permutation array(or code) of length $n$ and distance $d$, denoted by
$(n,d)$ PA, is a set of permutations $C$ from some fixed set of $n$ elements
such that the Hamming distance between distinct members
$\mathbf{x},\mathbf{y}\in C$ is at least $d$. Let $P(n,d)$ denote the maximum
size of an $(n,d)$ PA. This correspondence focuses on the lower bound on
$P(n,d)$. First we give three improvements over the Gilbert-Varshamov lower
bounds on $P(n,d)$ by applying the graph theorem framework presented by Jiang
and Vardy. Next we show another two new improved bounds by considering the
covered balls intersections. Finally some new lower bounds for certain values
of $n$ and $d$ are given.


title: New Constructions of Permutation Arrays

abstract:
  A permutation array(permutation code, PA) of length $n$ and distance $d$,
denoted by $(n,d)$ PA, is a set of permutations $C$ from some fixed set of $n$
elements such that the Hamming distance between distinct members
$\mathbf{x},\mathbf{y}\in C$ is at least $d$. In this correspondence, we
present two constructions of PA from fractional polynomials over finite field,
and a construction of $(n,d)$ PA from permutation group with degree $n$ and
minimal degree $d$. All these new constructions produces some new lower bounds
for PA.


title: V5116 Sgr, an Eclipsing Supersoft Post-Outburst Nova?

abstract:
  V5116 Sgr (Nova Sgr 2005 No. 2), discovered on 2005 July 4, was observed with
XMM-Newton in March 2007, 20 months after the optical outburst. The X-ray
spectrum shows that the nova had evolved to a pure supersoft X-ray source, with
no significant emission at energies above 1 keV. The X-ray light-curve shows
abrupt decreases and increases of the flux by a factor ~8. It is consistent
with a periodicity of 2.97 h, the orbital period suggested by Dobrotka et al.
(2007), although the observation lasted just a little more than a whole period.
We estimate the distance to V5116 Sgr to be 11+/-3 kpc. A simple blackbody
model does not fit correctly the EPIC spectra, with reduced chi^2>4. In
contrast, ONe rich white dwarf atmosphere models provide a good fit, with
nH=1.3(+/-0.1)e21 cm^-2, T=6.1(+/-0.1)e5 K, and L=3.9(+/-0.8)e37(D/10kpc)^2
erg/s (during the high-flux periods). This is consistent with residual hydrogen
burning in the white dwarf envelope. The white dwarf atmosphere temperature is
the same both in the low and the high flux periods, ruling out an intrinsic
variation of the X-ray source as the origin of the flux changes. We speculate
that the X-ray light-curve may result from a partial coverage by an asymmetric
accretion disk in a high inclination system.


title: A Volume Product Representation and its Ramifications in lp,

abstract:
  We represent the volume product for the unit p-ball in a a form free of its
gamma symbolism;this will enable us to confirm Mahler's lower bound and
Santalo's upper bound by the use of basic only gamma function theory and
moderately advanced classical analysis.


title:
Continuous Dependence for Backward Parabolic Operators with
  Log-Lipschitz Coefficients

abstract:
  We prove continuous dependence on Cauchy data for a backward parabolic
operator whose coefficients are Log-Lipschitz continuous in time.


title:
Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D
  dusty plasma

abstract:
  Anomalous diffusion and non-Gaussian statistics are detected experimentally
in a two-dimensional driven-dissipative system. A single-layer dusty plasma
suspension with a Yukawa interaction and frictional dissipation is heated with
laser radiation pressure to yield a structure with liquid ordering. Analyzing
the time series for mean-square displacement (MSD), superdiffusion is detected
at a low but statistically significant level over a wide range of temperature.
The probability distribution function (PDF) fits a Tsallis distribution,
yielding q, a measure of non-extensivity for non-Gaussian statistics.


title: Elliptic fibrations and symplectic automorphisms on K3 surfaces

abstract:
  Nikulin has classified all finite abelian groups acting symplectically on a
K3 surface and he has shown that the induced action on the K3 lattice
$U^3\oplus E_8(-1)^2$ depends only on the group but not on the K3 surface. For
all the groups in the list of Nikulin we compute the invariant sublattice and
its orthogonal complement by using some special elliptic K3 surfaces.


title:
Almost every set of $N\ge d+1$ orthogonal states on $d^{\otimes n}$ is
  locally indistinguishable

abstract:
  I consider the problem of deterministically distinguishing the state of a
multipartite system, from a set of $N\ge d+1$ orthogonal states, where $d$ is
the dimension of each party's subsystem. It is shown that if the set of
orthogonal states is chosen at random, then there is a vanishing probability
that this set will be perfectly distinguishable under the restriction that the
parties use only local operations on their subsystems and classical
communication amongst themselves.


title: The mystical formula and the mystery of Khronos

abstract:
  In 1908, Minkowski put forward the idea that invariance under what we call
today the Lorentz group, $GL(1,3, {\bf R})$, would be more meaningful in a
four-dimensional space-time continuum. This suggestion implies that space and
time are intertwined entities so that, kinematic and dynamical quantities can
be expressed as vectors, or more generally by tensors, in the four-dimensional
space-time. Minkowski also showed how causality should be structured in the
four-dimensional vector space. The mathematical formulation proposed by
Minkowski made its generalization to curved spaces quite natural, leaving the
doors to the General Theory of Relativity and many other developments ajar.
  Nevertheless, it is remarkable that this deceptively simple formulation
eluded many researchers of space and time, and goes against our every day
experience and perception, according to which space and time are distinct
entities. In this contribution, we discuss these contradictory views, analyze
how they are seen in contemporary physics and comment on the challenges that
space-time explorers face.


title: Cox rings and combinatorics II

abstract:
  We study varieties with a finitely generated Cox ring. In a first part, we
generalize a combinatorial approach developed in earlier work for varieties
with a torsion free divisor class group to the case of torsion. Then we turn to
modifications, e.g., blow ups, and the question how the Cox ring changes under
such maps. We answer this question for a certain class of modifications induced
from modifications of ambient toric varieties. Moreover, we show that every
variety with finitely generated Cox ring can be explicitly constructed in a
finite series of toric ambient modifications from a combinatorially minimal
one.


title: Exploring Landscape, renormgroup quantization

abstract:
  In this paper the Landscape potential is considered as an environment for
system: trajectory-environment (TE). The trajectory is generating a measure on
the landscape. The entropy of this dynamic measure is a power factor for
trajectory. This dynamics leads to a memory appearance and produces a
non-singular measure practically independently from initial conditions. It is
shown that measure is dual to the metrics and its evolution may be considered
as the landscape deformations: production-destruction of attractors-vacua. It
seems like the renormalization process with phase transitions: renormgroup
quantization. It is shown what the entropy of this global landscape measure
acts on the trajectory alike a dark energy.


title:
Ab initio study of spin-dependent transport in carbon nanotubes with
  iron and vanadium adatoms

abstract:
  We present an ab initio study of spin dependent transport in armchair carbon
nanotubes with transition metal adsorbates, iron or vanadium. We neglect the
effect of tube curvature and model the nanotube by graphene with periodic
boundary conditions. A density functional theory based nonequilibrium Green's
function method is used to compute the electronic structure and zero-bias
conductance. The presence of the adsorbate causes a strong scattering of
electrons of one spin type only. The scattering is shown to be due to coupling
of the two armchair band states to the metal 3d orbitals with matching symmetry
causing Fano resonances appearing as dips in the transmission function. The
spin type (majority/minority) being scattered depends on the adsorbate and is
explained in terms of d-state filling. The results are qualitatively reproduced
using a simple tight-binding model, which is then used to investigate the
dependence of the transmission on the nanotube width. We find a decrease in the
width of the transmission dip as the tube-size increases.


title: The hadronization line in stringy matter

abstract:
  Using the equation of state of the string model with linear strings comes
close to describing the lattice QCD results and offers an explanation for the
E/N = 1 GeV hadronization condition found in phenomenological statistical
model. The E/N = 6T relation is derived from the zero pressure condition and is
a fairly general result. The baryochemical potential dependence of the hadron
gas can be met if it is re-interpreted in the framework of an additive quark
model.


title:
Rabi oscillations between ground and Rydberg states and van der Waals
  blockade in a mesoscopic frozen Rydberg gas

abstract:
  We present a detailed analysis of our recent observation of synchronous Rabi
oscillations between the electronic ground state and Rydberg states in a
mesoscopic ensemble containing roughly 100 ultracold atoms [M. Reetz-Lamour
\textit{et al.}, submitted, arXiv:0711.4321]. The mesoscopic cloud is selected
out of a sample of laser-cooled Rb atoms by optical pumping. The atoms are
coupled to a Rydberg state with principal quantum number around 30 by a
two-photon scheme employing flat-top laser beams. The influence of residual
spatial intensity fluctuations as well as sources of decoherence such as
redistribution to other states, radiative lifetime, and laser bandwidth are
analysed. The results open up new possibilities for the investigation of
coherent many-body phenomena in dipolar Rydberg gases. As an example we
demonstrate the van der Waals blockade, a variant of the dipole blockade, for a
mesoscopic atom sample.


title:
Self-trapping of impurities in Bose-Einstein condensates: Strong
  attractive and repulsive coupling

abstract:
  We study the interaction-induced localization -- the so-called self-trapping
-- of a neutral impurity atom immersed in a homogeneous Bose-Einstein
condensate (BEC). Based on a Hartree description of the BEC we show that --
unlike repulsive impurities -- attractive impurities have a singular ground
state in 3d and shrink to a point-like state in 2d as the coupling approaches a
critical value. Moreover, we find that the density of the BEC increases
markedly in the vicinity of attractive impurities in 1d and 2d, which strongly
enhances inelastic collisions between atoms in the BEC. These collisions result
in a loss of BEC atoms and possibly of the localized impurity itself.


title: Quantum nature of cosmological bounces

abstract:
  Several examples are known where quantum gravity effects resolve the
classical big bang singularity by a bounce. The most detailed analysis has
probably occurred for loop quantum cosmology of isotropic models sourced by a
free, massless scalar. Once a bounce has been realized under fairly general
conditions, the central questions are how strongly quantum it behaves, what
influence quantum effects can have on its appearance, and what quantum
space-time beyond the bounce may look like. This, then, has to be taken into
account for effective equations which describe the evolution properly and can
be used for further phenomenological investigations. Here, we provide the first
analysis with interacting matter with new effective equations valid for weak
self-interactions or small masses. They differ from the free scalar equations
by crucial terms and have an important influence on the bounce and the
space-time around it. Especially the role of squeezed states, which have often
been overlooked in this context, is highlighted. The presence of a bounce is
proven for uncorrelated states, but as squeezing is a dynamical property and
may change in time, further work is required for a general conclusion.


title:
Telegraph Noise in Coupled Quantum Dot Circuits Induced by a Quantum
  Point Contact

abstract:
  Charge detection utilizing a highly biased quantum point contact has become
the most effective probe for studying few electron quantum dot circuits.
Measurements on double and triple quantum dot circuits is performed to clarify
a back action role of charge sensing on the confined electrons. The quantum
point contact triggers inelastic transitions, which occur quite generally.
Under specific device and measurement conditions these transitions manifest
themselves as bounded regimes of telegraph noise within a stability diagram. A
nonequilibrium transition from artificial atomic to molecular behavior is
identified. Consequences for quantum information applications are discussed.


title:
Transient electric fields in laser plasmas observed by proton streak
  deflectometry

abstract:
  A novel proton imaging technique was applied which allows a continuous
temporal record of electric fields within a time window of several nanoseconds.
This "proton streak deflectometry" was used to investigate transient electric
fields of intense (~ 10^17 W/cm^2) laser irradiated foils. We found out that
these fields with an absolute peak of up to 10^8 V/m extend over millimeter
lateral extension and decay at nanosecond duration. Hence, they last much
longer than the (~ ps) laser excitation, and extend much beyond the laser
irradiation focus.


title: Dynamo coefficients from local simulations of the turbulent ISM

abstract:
  Observations in polarized emission reveal the existence of large-scale
coherent magnetic fields in a wide range of spiral galaxies. Radio-polarization
data show that these fields are strongly inclined towards the radial direction,
with pitch angles up to $35\degr$ and thus cannot be explained by differential
rotation alone. Global dynamo models describe the generation of the radial
magnetic field from the underlying turbulence via the so called
$\alpha$-effect. However, these global models still rely on crude assumptions
about the small-scale turbulence. To overcome these restrictions we perform
fully dynamical MHD simulations of interstellar turbulence driven by supernova
explosions. From our simulations we extract profiles of the contributing
diagonal elements of the dynamo $\alpha$-tensor as functions of galactic
height. We also measure the coefficients describing vertical pumping and find
that the ratio $\hat{\gamma}$ between these two effects has been overestimated
in earlier analytical work, where dynamo action seemed impossible. In
contradiction to these models based on isolated remnants we always find the
pumping to be directed inward. In addition we observe that $\hat{\gamma}$
depends on whether clustering in terms of super-bubbles is taken into account.
Finally, we apply a test field method to derive a quantitative measure of the
turbulent magnetic diffusivity which we determine to be ~ 2 kpc kms.


title: Critical scaling in standard biased random walks

abstract:
  The spatial coverage produced by a single discrete-time random walk, with
asymmetric jump probability $p\neq 1/2$ and non-uniform steps, moving on an
infinite one-dimensional lattice is investigated. Analytical calculations are
complemented with Monte Carlo simulations. We show that, for appropriate step
sizes, the model displays a critical phenomenon, at $p=p_c$. Its scaling
properties as well as the main features of the fragmented coverage occurring in
the vicinity of the critical point are shown. In particular, in the limit $p\to
p_c$, the distribution of fragment lengths is scale-free, with nontrivial
exponents. Moreover, the spatial distribution of cracks (unvisited sites)
defines a fractal set over the spanned interval. Thus, from the perspective of
the covered territory, a very rich critical phenomenology is revealed in a
simple one-dimensional standard model.


title: Quantum-limited mass flow of liquid $^{3}$He

abstract:
  We consider theoretically the possibility of observing unusual quantum fluid
behavior in liquid $^{3}$He and solutions of $^{3}$He in $^{4}$He systems
confined to nano-channels. In the case of pure ballistic flow at very low
temperature conductance will be quantized in units of $2m^{2}/h$. We show that
these steps should be sensitive to increases in temperature. We also use of a
random scattering matrix simulation to study flow with diffusive wall
scattering. Universal conductance fluctuations analogous to those seen in
electron systems should then be observable. Finally we consider the possibility
of the cross-over to a one-dimensional system at sufficiently low temperature
where the system could form a Luttinger liquid.


title: Automorphism groups of generalized Reed-Solomon codes

abstract:
  We look at AG codes associated to the projective line, re-examining the
problem of determining their automorphism groups (originally investigated by
Duer in 1987 using combinatorial techniques) using recent methods from
algebraic geometry. We (re)classify those finite groups that can arise as the
automorphism group of an AG code for the projective line and give an explicit
description of how these groups appear. We also give examples of generalized
Reed-Solomon codes with large automorphism groups G, such as G=PSL(2,q), and
explicitly describe their G-module structure.


title:
Quantum tomography with wavelet transform in Banach space on Homogeneous
  space

abstract:
  The intimate connection between the Banach space wavelet reconstruction
method on homogeneous spaces with both singular and nonsingular vacuum vectors,
and some of well known quantum tomographies, such as: Moyal-representation for
a spin, discrete phase space tomography, tomography of a free particle,
Homodyne tomography, phase space tomography and SU(1,1) tomography is
explained. Also both the atomic decomposition and banach frame nature of these
quantum tomographic examples is explained in details. Finally the connection
between the wavelet formalism on Banach space and Q-function is discussed.


title:
Macroscopic description for a quantum plasma micro-instability: the
  quantum Weibel solution

abstract:
  The Weibel instability in the quantum plasma case is treated by means of a
fluid-like (moments) approach. Quantum modifications to the macroscopic
equations are then identified as effects of first or second kind. Quantum
effects of the first kind correspond to a dispersive term, similar to the Bohm
potential in the quantum hydrodynamic equations for plasmas. Effects of the
second kind are due to the Fermi statistics of the charge carriers and can
become the dominant influence for strong degeneracy. The macroscopic dispersion
relations are of higher order than those for the classical Weibel instability.
This corresponds to the presence of a cutoff wave-number even for the strong
temperature anisotropy case.


title: Symposium Summary

abstract:
  I summarize the highlights of the conference. First I provide a brief history
of the beach symposia series our massive star community has been organizing.
Then I use most of my allocated space discussing what I believe are the main
answered and open questions in the field. Finally I conclude with a perspective
of the future of massive star research.


title: Stability of Inhomogeneous Multi-Component Fermi Gases

abstract:
  Two-component equal-mass Fermi gases, in which unlike atoms interact through
a short-range two-body potential and like atoms do not interact, are stable
even when the interspecies s-wave scattering length becomes infinitely large.
Solving the many-body Schroedinger equation within a hyperspherical framework
and by Monte Carlo techniques, this paper investigates how the properties of
trapped two-component gases change if a third or fourth component are added. If
all interspecies scattering lengths are equal and negative, our calculations
suggest that both three- and four-component Fermi gases become unstable for a
certain critical set of parameters. The relevant length scale associated with
the collapse is set by the interspecies scattering length and we argue that the
collapse is, similar to the collapse of an attractive trapped Bose gas, a
many-body phenomenon. Furthermore, we consider a three-component Fermi gas in
which two interspecies scattering lengths are negative while the other
interspecies scattering length is zero. In this case, the stability of the
Fermi system is predicted to depend appreciably on the range of the underlying
two-body potential. We find parameter combinations for which the system appears
to become unstable for a finite negative scattering length and parameter
combinations for which the system appears to be made up of weakly-bound trimers
that consist of one fermion of each species.


title: Decoherence due to contacts in ballistic nanostructures

abstract:
  The active region of a ballistic nanostructure is an open quantum-mechanical
system, whose nonunitary evolution (decoherence) towards a nonequilibrium
steady state is determined by carrier injection from the contacts. The purpose
of this paper is to provide a simple theoretical description of the
contact-induced decoherence in ballistic nanostructures, which is established
within the framework of the open systems theory. The active region's evolution
in the presence of contacts is generally non-Markovian. However, if the
contacts' energy relaxation due to electron-electron scattering is sufficiently
fast, then the contacts can be considered memoryless on timescales coarsened
over their energy relaxation time, and the evolution of the current-limiting
active region can be considered Markovian. Therefore, we first derive a general
Markovian map in the presence of a memoryless environment, by coarse-graining
the exact short-time non-Markovian dynamics of an abstract open system over the
environment memory-loss time, and we give the requirements for the validity of
this map. We then introduce a model contact-active region interaction that
describes carrier injection from the contacts for a generic two-terminal
ballistic nanostructure. Starting from this model interaction and using the
Markovian dynamics derived by coarse-graining over the effective memory-loss
time of the contacts, we derive the formulas for the nonequilibrium
steady-state distribution functions of the forward and backward propagating
states in the nanostructure's active region. On the example of a double-barrier
tunneling structure, the present approach yields an I-V curve with all the
prominent resonant features. The relationship to the Landauer-B\"{u}ttiker
formalism is also discussed, as well as the inclusion of scattering.


title: Spanners of Additively Weighted Point Sets

abstract:
  We study the problem of computing geometric spanners for (additively)
weighted point sets. A weighted point set is a set of pairs $(p,r)$ where $p$
is a point in the plane and $r$ is a real number. The distance between two
points $(p_i,r_i)$ and $(p_j,r_j)$ is defined as $|p_ip_j|-r_i-r_j$. We show
that in the case where all $r_i$ are positive numbers and $|p_ip_j|\geq
r_i+r_j$ for all $i,j$ (in which case the points can be seen as
non-intersecting disks in the plane), a variant of the Yao graph is a
$(1+\epsilon)$-spanner that has a linear number of edges. We also show that the
Additively Weighted Delaunay graph (the face-dual of the Additively Weighted
Voronoi diagram) has constant spanning ratio. The straight line embedding of
the Additively Weighted Delaunay graph may not be a plane graph. We show how to
compute a plane embedding that also has a constant spanning ratio.


title: Quantum computation in continuous time using dynamic invariants

abstract:
  We introduce an approach for quantum computing in continuous time based on
the Lewis-Riesenfeld dynamic invariants. This approach allows, under certain
conditions, for the design of quantum algorithms running on a nonadiabatic
regime. We show that the relaxation of adiabaticity can be achieved by
processing information in the eigenlevels of a time dependent observable,
namely, the dynamic invariant operator. Moreover, we derive the conditions for
which the computation can be implemented by time independent as well as by
adiabatically varying Hamiltonians. We illustrate our results by providing the
implementation of both Deutsch-Jozsa and Grover algorithms via dynamic
invariants.


title: Sequestered Dark Matter

abstract:
  We show that hidden-sector dark matter is a generic feature of the type IIB
string theory landscape and that its lifetime may allow for a discovery through
the observation of very energetic gamma-rays produced in the decay. Throats or,
equivalently, conformally sequestered hidden sectors are common in flux
compactifications and the energy deposited in these sectors can be calculated
if the reheating temperature of the standard model sector is known. Assuming
that throats with various warp factors are available in the compact manifold,
we determine which throats maximize the late-time abundance of sequestered dark
matter. For such throats, this abundance agrees with cosmological data if the
standard model reheating temperature was 10^10 - 10^11 GeV. In two distinct
scenarios, the mass of dark matter particles, i.e. the IR scale of the throat,
is either around 10^5 GeV or around 10^10 GeV. The lifetime and the decay
channels of our dark matter candidates depend crucially on the fact that the
Klebanov-Strassler throat is supersymmetric. Furthermore, the details of
supersymmetry breaking both in the throat and in the visible sector play an
essential role. We identify a number of scenarios where this type of dark
matter can be discovered via gamma-ray observations.


title:
Nucleon axial charge in 2+1 flavor dynamical lattice QCD with domain
  wall fermions

abstract:
  We present results for the nucleon axial charge g_A at a fixed lattice
spacing of 1/a=1.73(3) GeV using 2+1 flavors of domain wall fermions on size
16^3x32 and 24^3x64lattices (L=1.8 and 2.7 fm) with length 16 in the fifth
dimension. The length of the Monte Carlo trajectory at the lightest m_\pi is
7360 units, including 900 for thermalization. We find finite volume effects are
larger than the pion mass dependence at m_\pi= 330 MeV. We also find that g_A
exhibits a scaling with the single variable m_\pi L which can also be seen in
previous two-flavor domain wall and Wilson fermion calculati ons. Using this
scaling to eliminate the finite-volume effect, we obtain g_A = 1.20(6)(4) at
the physical pion mass, m_\pi = 135 MeV, where the first and second errors are
statistical and systematic. The observed finite-volume scaling also appears in
similar quenched simulations, but disappear when V\ge (2.4 fm)^3. We argue this
is a dynamical quark effect.


title:
The Subaru/XMM-Newton Deep Survey (SXDS) - II. Optical Imaging and
  Photometric Catalogs

abstract:
  We present multi-waveband optical imaging data obtained from observations of
the Subaru/XMM-Newton Deep Survey (SXDS). The survey field, centered at
R.A.=02:18:00, decl.=-05:00:00, has been the focus of a wide range of
multi-wavelength observing programs spanning from X-ray to radio wavelengths. A
large part of the optical imaging observations are carried out with Suprime-Cam
on Subaru Telescope at Mauna Kea in the course of Subaru Telescope Observatory
Projects. This paper describes our optical observations, data reduction and
analysis procedures employed, and the characteristics of the data products. A
total area of 1.22 sqdeg is covered in five contiguous sub-fields, each of
which corresponds to a single Suprime-Cam field of view (34'x27'), in five
broad-band filters B, V, Rc, i', z' to the depths of B=28.4, V=27.8, Rc=27.7,
i'=27.7 and z'=26.6 (AB, 3-sigma, 2-arcsec aperture). The data are reduced and
compiled into five multi-waveband photometric catalogs, separately for each
Suprime-Cam pointing. The i'-band catalogs contain about 900,000 objects,
making the SXDS catalogs one of the largest multi-waveband catalogs in
corresponding depth and area coverage. The SXDS catalogs can be used for an
extensive range of astronomical applications such as the number density of the
Galactic halo stars to the large scale structures at the distant universe. The
number counts of galaxies are derived and compared with those of existing deep
extragalactic surveys. The optical data, the source catalogs, and configuration
files used to create the catalogs are publicly available via the SXDS web page
(http://www.naoj.org/Science/SubaruProject/SXDS/index.html)


title: A computation in Khovanov-Rozansky Homology

abstract:
  We investigate the Khovanov-Rozansky invariant of a certain tangle and its
compositions. Surprisingly the complexes we encounter reduce to ones that are
very simple. Furthermore, we discuss a "local" algorithm for computing
Khovanov-Rozansky homology and compare our results with those for the "foam"
version of sl_3-homology.


title: A Class of Convex Polyhedra with Few Edge Unfoldings

abstract:
  We construct a sequence of convex polyhedra on n vertices with the property
that, as n -> infinity, the fraction of its edge unfoldings that avoid overlap
approaches 0, and so the fraction that overlap approaches 1. Nevertheless, each
does have (several) nonoverlapping edge unfoldings.


title:
Suppression pattern of neutral pions at high transverse momentum in
  Au+Au collisions at sqrt(s_NN) = 200 GeV and constraints on medium transport
  coefficients

abstract:
  For Au + Au collisions at 200 GeV we measure neutral pion production with
good statistics for transverse momentum, p_T, up to 20 GeV/c. A fivefold
suppression is found, which is essentially constant for 5 < p_T < 20 GeV/c.
Experimental uncertainties are small enough to constrain any model-dependent
parameterization for the transport coefficient of the medium, e.g. \mean(q^hat)
in the parton quenching model. The spectral shape is similar for all collision
classes, and the suppression does not saturate in Au+Au collisions; instead, it
increases proportional to the number of participating nucleons, as N_part^2/3.


title:
Electrical generation of pure spin currents in a two-dimensional
  electron gas

abstract:
  Pure spin currents are measured in micron-wide channels of GaAs
two-dimensional electron gas (2DEG). Spins are injected and detected using
quantum point contacts, which become spin polarized at high magnetic field.
High sensitivity to the spin signal is achieved in a nonlocal measurement
geometry, which dramatically reduces spurious signals associated with charge
currents. Measured spin relaxation lengths range from 30 to 50 microns, much
longer than has been reported in GaAs 2DEG's. The technique developed here
provides a flexible tool for the study of spin polarization and spin dynamics
in mesoscopic structures defined in 2D semiconductor systems.


title: Higher-dimensional linking integrals

abstract:
  We derive an integral formula for the linking number of two submanifolds of
the n-sphere S^n, of the product S^n x R^m, and of other manifolds which appear
as "nice" hypersurfaces in Euclidean space. The formulas are geometrically
meaningful in that they are invariant under the action of the special
orthogonal group on the ambient space.


title:
Transient Pulses from Exploding Primordial Black Holes as a Signature of
  an Extra Dimension

abstract:
  An evaporating black hole in the presence of an extra spatial dimension would
undergo an explosive phase of evaporation. We show that such an event,
involving a primordial black hole, can produce a detectable, distinguishable
electromagnetic pulse, signaling the existence of an extra dimension of size
$L\sim10^{-18}-10^{-20}$ m. We derive a generic relationship between the
Lorentz factor of a pulse-producing "fireball" and the TeV energy scale. For an
ordinary toroidally compactified extra dimension, transient radio-pulse
searches probe the electroweak energy scale ($\sim$0.1 TeV), enabling
comparison with the Large Hadron Collider.


title: Set-based complexity and biological information

abstract:
  It is not obvious what fraction of all the potential information residing in
the molecules and structures of living systems is significant or meaningful to
the system. Sets of random sequences or identically repeated sequences, for
example, would be expected to contribute little or no useful information to a
cell. This issue of quantitation of information is important since the ebb and
flow of biologically significant information is essential to our quantitative
understanding of biological function and evolution. Motivated specifically by
these problems of biological information, we propose here a class of measures
to quantify the contextual nature of the information in sets of objects, based
on Kolmogorov's intrinsic complexity. Such measures discount both random and
redundant information and are inherent in that they do not require a defined
state space to quantify the information. The maximization of this new measure,
which can be formulated in terms of the universal information distance, appears
to have several useful and interesting properties, some of which we illustrate
with examples.


title: Phase Behavior of Polyelectrolyte Block Copolymers in Mixed Solvents

abstract:
  We have studied the phase behavior of the poly(n-butyl
acrylate)-b-poly(acrylic acid) block copolymer in a mixture of two miscible
solvents, water and tetrahydrofuran (THF). The techniques used to examine the
different polymers, structures and phases formed in mixed solvents were static
and dynamic light scattering, small-angle neutron scattering, nuclear magnetic
resonance and fluorescence microscopy. By lowering the water/THF mixing ratio
X, the sequence unimers, micron-sized droplets, polymeric micelles was
observed. The transition between unimers and the micron-sized droplets occurred
at X = 0.75, whereas the microstructuration into core-shell polymeric micelles
was effective below X = 0.4. At intermediate mixing ratios, a coexistence
between the micron-sized droplets and the polymeric micelles was observed.
Combining the different aforementioned techniques, it was concluded that the
droplet dispersion resulted from a solvent partitioning that was induced by the
hydrophobic blocks. Comparison of poly(n-butyl acrylate) homopolymers and
poly(n-butyl acrylate)-b-poly(acrylic acid) block copolymers suggested that the
droplets were rich in THF and concentrated in copolymers and that they were
stabilized by the hydrophilic poly(acrylic acid) moieties.


title: GenEvA (I): A new framework for event generation

abstract:
  We show how many contemporary issues in event generation can be recast in
terms of partonic calculations with a matching scale. This framework is called
GenEvA, and a key ingredient is a new notion of phase space which avoids the
problem of phase space double-counting by construction and includes a built-in
definition of a matching scale. This matching scale can be used to smoothly
merge any partonic calculation with a parton shower. The best partonic
calculation for a given region of phase space can be determined through physics
considerations alone, independent of the algorithmic details of the merging. As
an explicit example, we construct a positive-weight partonic calculation for
e+e- -> n jets at next-to-leading order (NLO) with leading-logarithmic (LL)
resummation. We improve on the NLO/LL result by adding additional
higher-multiplicity tree-level (LO) calculations to obtain a merged NLO/LO/LL
result. These results are implemented using a new phase space generator
introduced in a companion paper [arXiv:0801.4028].


title:
The structural properties and star formation history of Leo T from deep
  LBT photometry

abstract:
  We present deep, wide-field g and r photometry of the transition type dwarf
galaxy Leo T, obtained with the blue arm of the Large Binocular Telescope. The
data confirm the presence of both very young (<1 Gyr) as well as much older (>5
Gyr) stars. We study the structural properties of the old and young stellar
populations by preferentially selecting either population based on their color
and magnitude. The young population is significantly more concentrated than the
old population, with half-light radii of 104+-8 and 148+-16 pc respectively,
and their centers are slightly offset. Approximately 10% of the total stellar
mass is estimated to be represented by the young stellar population. Comparison
of the color-magnitude diagram (CMD) with theoretical isochrones as well as
numerical CMD-fitting suggest that star formation began over 10 Gyr ago and
continued in recent times until at least a few hundred Myr ago. The CMD-fitting
results are indicative of two distinct star formation bursts, with a quiescent
period around 3 Gyr ago, albeit at low significance. The results are consistent
with no metallicity evolution and [Fe/H] ~ -1.5 over the entire age of the
system. Finally, the data show little if any sign of tidal distortion of Leo T.


title: GenEvA (II): A phase space generator from a reweighted parton shower

abstract:
  We introduce a new efficient algorithm for phase space generation. A parton
shower is used to distribute events across all of multiplicity, flavor, and
phase space, and these events can then be reweighted to any desired analytic
distribution. To verify this method, we reproduce the e+e- -> n jets tree-level
result of traditional matrix element tools. We also show how to improve
tree-level matrix elements automatically with leading-logarithmic resummation.
This algorithm is particularly useful in the context of a new framework for
event generation called GenEvA. In a companion paper [arXiv:0801.4026], we show
how the GenEvA framework can address contemporary issues in event generation.


title:
Simultaneous multiwavelength observations of the blazar 1ES1959+650 at a
  low TeV flux

abstract:
  We present the results from a multiwavelength campaign on the TeV blazar 1ES
1959+650, performed in May, 2006. Data from the optical, UV, soft- and
hard-X-ray and very high energy (VHE) gamma-ray (E > 100 GeV) bands were
obtained with the SUZAKU and SWIFT satellites, with the MAGIC telescope and
other ground based facilities. The source spectral energy distribution (SED),
derived from SUZAKU and MAGIC observations at the end of May 2006, shows the
usual double hump shape, with the synchrotron peak at a higher flux level than
the Compton peak. With respect to historical values, during our campaign the
source exhibited a relatively high state in X-rays and optical, while in the
VHE band it was at one of the lowest level so far recorded. We also monitored
the source for flux-spectral variability on a time window of 10 days in the
optical-UV and X-ray bands and 7 days in the VHE band. The source varies more
in the X-ray, than in the optical band, with the 2-10 keV X-ray flux varying by
a factor of ~2. The synchrotron peak is located in the X-ray band and moves to
higher energies as the source gets brighter, with the X-ray fluxes above it
varying more rapidly than the X-ray fluxes at lower energies. The variability
behaviour observed in the X-ray band cannot be produced by emitting regions
varying independently, and suggests instead some sort of ``standing shock''
scenario. The overall SED is well represented by an homogeneous one-zone
synchrotron inverse Compton emission model, from which we derive physical
parameters that are typical of high energy peaked blazars.


title:
Thermal X-rays from Millisecond Pulsars: Constraining the Fundamental
  Properties of Neutron Stars

abstract:
  Abridged) We model the X-ray properties of millisecond pulsars (MSPs) by
considering hot spot emission from a weakly magnetized rotating neutron star
(NS) covered by an optically-thick hydrogen atmosphere. We investigate the
limitations of using the thermal X-ray pulse profiles of MSPs to constrain the
mass-to-radius ($M/R$) ratio of the underlying NS. The accuracy is strongly
dependent on the viewing angle and magnetic inclination. For certain systems,
the accuracy is ultimately limited only by photon statistics implying that
future X-ray observatories could, in principle, achieve constraints on $M/R$
and hence the NS equation of state to better than $\sim$5%. We demonstrate that
valuable information regarding the basic properties of the NS can be extracted
even from X-ray data of fairly limited photon statistics through modeling of
archival spectroscopic and timing observations of the nearby isolated PSRs
J0030+0451 and J2124--3358. The X-ray emission from these pulsars is consistent
with the presence of a hydrogen atmosphere and a dipolar magnetic field
configuration, in agreement with previous findings for PSR J0437--4715. For
both MSPs, the favorable geometry allows us to place interesting limits on the
allowed $M/R$ of NSs. Assuming 1.4 M$_{\odot}$, the stellar radius is
constrained to be $R > 9.4$ km and $R > 7.8$ km (68% confidence) for PSRs
J0030+0451 and J2124--3358, respectively. We explore the prospects of using
future observatories such as \textit{Constellation-X} and \textit{XEUS} to
conduct blind X-ray timing searches for MSPs not detectable at radio
wavelengths due to unfavorable viewing geometry. Using the observational
constraints on the pulsar obliquities we are also able to place strong
constraints on the magnetic field evolution model proposed by Ruderman.


title: Distant future of the Sun and Earth revisited

abstract:
  We revisit the distant future of the Sun and the solar system, based on
stellar models computed with a thoroughly tested evolution code. For the solar
giant stages, mass-loss by the cool (but not dust-driven) wind is considered in
detail. Using the new and well-calibrated mass-loss formula of Schroder & Cuntz
(2005, 2007), we find that the mass lost by the Sun as an RGB giant (0.332
M_Sun, 7.59 Gy from now) potentially gives planet Earth a significant orbital
expansion, inversely proportional to the remaining solar mass.
  According to these solar evolution models, the closest encounter of planet
Earth with the solar cool giant photosphere will occur during the tip-RGB
phase. During this critical episode, for each time-step of the evolution model,
we consider the loss of orbital angular momentum suffered by planet Earth from
tidal interaction with the giant Sun, as well as dynamical drag in the lower
chromosphere. We find that planet Earth will not be able to escape engulfment,
despite the positive effect of solar mass-loss. In order to survive the solar
tip-RGB phase, any hypothetical planet would require a present-day minimum
orbital radius of about 1.15 AU.
  Furthermore, our solar evolution models with detailed mass-loss description
predict that the resulting tip-AGB giant will not reach its tip-RGB size. The
main reason is the more significant amount of mass lost already in the RGB
phase of the Sun. Hence, the tip-AGB luminosity will come short of driving a
final, dust-driven superwind, and there will be no regular solar planetary
nebula (PN). But a last thermal pulse may produce a circumstellar (CS) shell
similar to, but rather smaller than, that of the peculiar PN IC 2149 with an
estimated total CS shell mass of just a few hundredths of a solar mass.


title: Stable Magnetic Fields in Static Stars

abstract:
  We prove that static fluid stars can stably support magnetic fields (within
the ideal MHD approximation).


title: Quantization of Projective Homogeneous Spaces and Duality Principle

abstract:
  We introduce a general recipe to construct quantum projective homogeneous
spaces, with a particular interest for the examples of the quantum
Grassmannians and the quantum generalized flag varieties. Using this
construction, we extend the quantum duality principle to quantum projective
homogeneous spaces.


title: One-Loop Renormalization of Lee-Wick Gauge Theory

abstract:
  We examine the renormalization of Lee-Wick gauge theory to one loop order. We
show that only knowledge of the wavefunction renormalization is necessary to
determine the running couplings, anomalous dimensions, and vector boson masses.
In particular, the logarithmic running of the Lee-Wick vector boson mass is
exactly related to the running of the coupling. In the case of an
asymptotically free theory, the vector boson mass runs to infinity in the
ultraviolet. Thus, the UV fixed point of the pure gauge theory is an ordinary
quantum field theory. We find that the coupling runs more quickly in Lee-Wick
gauge theory than in ordinary gauge theory, so the Lee-Wick standard model does
not naturally unify at any scale. Finally, we present results on the beta
function of more general theories containing dimension six operators which
differ from previous results in the literature.


title:
Neutrino Oscillations With A Next Generation Liquid Argon TPC Detector
  in Kamioka or Korea Along The J-PARC Neutrino Beam

abstract:
  The ``baseline setup'' for a possible, beyond T2K, next generation long
baseline experiment along the J-PARC neutrino beam produced at Tokai, assumes
two very large deep-underground Water Cerenkov imaging detectors of about 300
kton fiducial each, located one in Korea and the other in Kamioka but at the
same off-axis angle. In this paper, we consider the physics performance of a
similar setup but with a single and smaller, far detector, possibly at shallow
depth, composed of a 100 kton next generation liquid Argon Time Projection
Chamber. The potential location of the detector could be in the Kamioka area
($L\sim 295$ km) or on the Eastern Korean coast ($L\sim 1025$ km), depending on
the results of the T2K experiment. In Korea the off-axis angle could be either
$2.5^{o} \sim 3^{o}$ as in SuperKamiokande, or
  $\sim 1^{o}$ as to offer pseudo-wide-band beam conditions.


title: On the infimum convolution inequality

abstract:
  In the paper we study the infimum convolution inequalites. Such an inequality
was first introduced by B. Maurey to give the optimal concentration of measure
behaviour for the product exponential measure. We show how IC-inequalities are
tied to concentration and study the optimal cost functions for an arbitrary
probability measure. In particular, we show the optimal IC-inequality for
product log-concave measures and for uniform measures on the l_p^n balls. Such
an optimal inequality implies, for a given measure, in particular the Central
Limit Theorem of Klartag and the tail estimates of Paouris.


title:
Decompositions and statistics for beta(1,0)-trees and nonseparable
  permutations

abstract:
  The subject of pattern avoiding permutations has its roots in computer
science, namely in the problem of sorting a permutation through a stack. A
formula for the number of permutations of length n that can be sorted by
passing it twice through a stack (where the letters on the stack have to be in
increasing order) was conjectured by West, and later proved by Zeilberger.
Goulden and West found a bijection from such permutations to nonseparable
planar maps, and later, Jacquard and Schaeffer presented a bijection from these
planar maps to certain labeled plane trees, called beta(1,0)-trees. Using
generating trees, Dulucq, Gire and West showed that nonseparable planar maps
are equinumerous with permutations avoiding the (classical) pattern 2413 and
the barred pattern 41\bar{3}52; they called these permutations nonseparable. We
give a new bijection between beta(1,0)-trees and permutations avoiding the
dashed patterns 3-1-4-2 and 2-41-3. These permutations can be seen to be
exactly the reverse of nonseparable permutations. Our bijection is built using
decompositions of the permutations and the trees, and it translates seven
statistics on the trees into statistics on the permutations. Among the
statistics involved are ascents, left-to-right minima and right-to-left maxima
for the permutations, and leaves and the rightmost and leftmost paths for the
trees. In connection with this we give a nontrivial involution on the
beta(1,0)-trees, which specializes to an involution on unlabeled rooted plane
trees, where it yields interesting results. Lastly, we conjecture the existence
of a bijection between nonseparable permutations and two-stack sortable
permutations preserving at least four permutation statistics.


title: Mercurian impact ejecta: Meterorites and mantle

abstract:
  We have examined the fate of impact ejecta liberated from the surface of
Mercury due to impacts by comets or asteroids, in order to study (1) meteorite
transfer to Earth, and (2) re-accumulation of an expelled mantle in
giant-impact scenarios seeking to explain Mercury's large core. In the context
of meteorite transfer, we note that Mercury's impact ejecta leave the planet's
surface much faster (on average) than other planet's in the Solar System
because it is the only planet where impact speeds routinely range from 5-20
times the planet's escape speed. Thus, a large fraction of mercurian ejecta may
reach heliocentric orbit with speeds sufficiently high for Earth-crossing
orbits to exist immediately after impact, resulting in larger fractions of the
ejecta reaching Earth as meteorites. We calculate the delivery rate to Earth on
a time scale of 30 Myr and show that several percent of the high-speed ejecta
reach Earth (a factor of -3 less than typical launches from Mars); this is one
to two orders of magnitude more efficient than previous estimates. Similar
quantities of material reach Venus.
  These calculations also yield measurements of the re-accretion time scale of
material ejected from Mercury in a putative giant impact (assuming gravity is
dominant). For mercurian ejecta escaping the gravitational reach of the planet
with excess speeds equal to Mercury's escape speed, about one third of ejecta
re-accretes in as little as 2 Myr. Thus collisional stripping of a silicate
proto-mercurian mantle can only work effectively if the liberated mantle
material remains in small enough particles that radiation forces can drag them
into the Sun on time scale of a few million years, or Mercury would simply
re-accrete the material.


title:
Point Form Quantum Field Theory on Velocity Grids I: Bosonic
  Contractions

abstract:
  In constrast to discretized space-time approximations to continuum quantum
field theories, discretized velocity space approximations to continuum quantum
field theories are investigated. A four-momentum operator is given in terms of
bare fermion-antifermion-boson creation and annihilation operators with
discrete indices. In continuum quantum field theories the fermion-antifermion
creation and annihilation operators appear as bilinears in the four-momentum
operator and generate a unitary algebra. When the number of modes range over
only a finite number of values, the algebra is that associated with the Lie
algebra of U(2N). By keeping N finite (but arbitrary) problems due to an
infinite Lorentz volume and to the creation of infinite numbers of bare
fermion-antifermion pairs are avoided. But even with a finite number of modes,
it is still possible to create an infinite number of bare bosons. We show how
the full boson algebra arises as the contraction limit of another unitary
algebra that restricts the number of bare bosons in any mode to be finite.
Generic properties of finite mode Hamiltonians are investigated, as are several
simple models to see the rate of convergence of the boson contraction; the
possibility of fine tuning the bare strong coupling constant is also briefly
discussed.


title: Carry Propagation in Multiplication by Constants

abstract:
  Suppose that a random n-bit number V is multiplied by an odd constant M,
greater than or equal to 3, by adding shifted versions of the number V
corresponding to the 1s in the binary representation of the constant M. Suppose
further that the additions are performed by carry-save adders until the number
of summands is reduced to two, at which time the final addition is performed by
a carry-propagate adder. We show that in this situation the distribution of the
length of the longest carry-propagation chain in the final addition is the same
(up to terms tending to 0 as n tends to infinity) as when two independent n-bit
numbers are added, and in particular the mean and variance are the same (again
up to terms tending to 0). This result applies to all possible orders of
performing the carry-save additions.


title:
Quantifying parameter errors due to the peculiar velocities of type Ia
  supernovae

abstract:
  The fitting of the observed redshifts and magnitudes of type Ia supernovae to
what we would see in homogeneous cosmological models has led to constraints on
cosmological parameters. However, in doing such fits it is assumed that the
sampled supernovae are moving with the Hubble flow, i.e. that their peculiar
velocities are zero. In reality, peculiar velocities will modify supernova data
in a way that can impact best-fit cosmological parameters. We theoretically
quantify this effect in the nonlinear regime with a Monte-Carlo analysis, using
data from semi-analytic galaxy catalogs that are built from the Millennium
N-body simulation. We find scaling relations for the errors in best-fit
parameters resulting solely from peculiar velocities, as a function of the
total number of sources in a supernova survey N and its maximum redshift z_max.
For low redshift surveys, we find that these errors can be of the same order of
magnitude as the errors due to an intrinsic magnitude scatter of 0.1 mag. For a
survey with N=2000 and z_max=1.7, we estimate that the expected peculiar
velocity-induced errors in the best-fit cosmological constant density and
equation of state can be sigma_Lambda~0.009 and sigma_w~0.01, respectively,
which are subdominant to the errors due to the intrinsic scatter. We further
find that throwing away supernova data below a redshift z~0.01-0.02 can reduce
the combined error, due to peculiar velocities and the intrinsic scatter, but
by only about 10%.


title: Stopping Supersonic Beams with an Atomic Coilgun

abstract:
  We report the stopping of an atomic beam, using a series of pulsed
electromagnetic coils. We use a supersonic beam of metastable neon created in a
gas discharge as a monochromatic source of paramagnetic atoms. A series of
coils is fired in a timed sequence to bring the atoms to near-rest, where they
are detected on a micro-channel plate. Applications to fundamental problems in
physics and chemistry are discussed.


title: On the solvability of systems of pseudodifferential operators

abstract:
  The paper studies the solvability for square systems of pseudodifferential
operators. We assume that the system is of principal type, i.e., the principal
symbol vanishes of first order on the kernel. We shall also assume that the
eigenvalues of the principal symbol close to zero have constant multiplicity.
We prove that local solvability for the system is equivalent to condition (PSI)
on the eigenvalues of the principal symbol. This condition rules out any sign
changes from - to + of the imaginary part of the eigenvalue when going in the
positive direction on the bicharacteristics of the real part. Thus we need no
conditions on the lower order terms. We obtain local solvability by proving a
localizable a priori estimate for the adjoint operator with a loss of 3/2
derivatives (compared with the elliptic case).


title: SU(4)_L X U(1)_X three-family model for the electroweak interaction

abstract:
  An extension of the gauge group $SU(2)_L\otimes U(1)_Y$ of the standard model
to the symmetry group $SU(4)_L\otimes U(1)_X$ (3-4-1 for short) is presented.
The model does not contain exotic electric charges and anomaly cancellation is
achieved with a family of quarks transforming differently from the other two,
thus leading to FCNC. By introducing a discrete $Z_2$ symmetry we obtain a
consistent fermion mass spectrum, and avoid unitarity violation of the CKM
mixing matrix arising from the mixing of ordinary and exotic quarks. The
neutral currents coupled to all neutral vector bosons are studied, and by using
CERN LEP and SLAC Linear Collider data at Z-pole and atomic parity violation
data, we bound parameters of the model related to tree-level $Z-Z^\prime$
mixing. These parameters are further constrained by using experimental input
from neutral meson mixing in the analysis of sources of FCNC present in the
model. Constraints coming from the contribution of exotic particles to the
one-loop oblique electroweak parameters $S$, $T$ and $U$ are also briefly
discussed. Finally, a comparison is done of the predictions of different
classes of 3-4-1 models without exotic electric charges.


title: Switching phenomena in magnetic vortex dynamics

abstract:
  A magnetic nanoparticle in a vortex state is a promising candidate for the
information storage. One bit of information corresponds to the upward or
downward magnetization of the vortex core (vortex polarity). Generic properties
of the vortex polarity switching are insensitive of the way how the vortex
dynamics was excited: by an AC magnetic field, or by an electrical current. We
study theoretically the switching process and describe in detail its mechanism,
which involves the creation and annihilation of an intermediate
vortex-antivortex pair.


title: Simulating the Gaseous Halos of Galaxies

abstract:
  Observations of local X-ray absorbers, high-velocity clouds, and distant
quasar absorption line systems suggest that a significant fraction of baryons
may reside in multi-phase, low-density, extended, ~100 kpc, gaseous halos
around normal galaxies. We present a pair of high-resolution SPH (smoothed
particle hydrodynamics) simulations that explore the nature of cool gas infall
into galaxies, and the physical conditions necessary to support the type of
gaseous halos that seem to be required by observations. The two simulations are
identical other than their initial gas density distributions: one is
initialized with a standard hot gas halo that traces the cuspy profile of the
dark matter, and the other is initialized with a cored hot halo with a high
central entropy, as might be expected in models with early pre-heating
feedback. Galaxy formation proceeds in dramatically different fashions in these
two cases. While the standard cuspy halo cools rapidly, primarily from the
central region, the cored halo is quasi-stable for ~4 Gyr and eventually cools
via the fragmentation and infall of clouds from ~100 kpc distances. After 10
Gyr of cooling, the standard halo's X-ray luminosity is ~100 times current
limits and the resultant disk galaxy is twice as massive as the Milky Way. In
contrast, the cored halo has an X-ray luminosity that is in line with
observations, an extended cloud population reminiscent of the high-velocity
cloud population of the Milky Way, and a disk galaxy with half the mass and
~50% more specific angular momentum than the disk formed in the low-entropy
simulation. These results suggest that the distribution and character of halo
gas provides an important testing ground for galaxy formation models and may be
used to constrain the physics of galaxy formation.


title: No Arbitrage Conditions For Simple Trading Strategies

abstract:
  Strict local martingales may admit arbitrage opportunities with respect to
the class of simple trading strategies. (Since there is no possibility of using
doubling strategies in this framework, the losses are not assumed to be bounded
from below.) We show that for a class of non-negative strict local martingales,
the strong Markov property implies the no arbitrage property with respect to
the class of simple trading strategies. This result can be seen as a
generalization of a similar result on three dimensional Bessel process in [3].
We also pro- vide no arbitrage conditions for stochastic processes within the
class of simple trading strategies with shortsale restriction.


title:
High Performance Cooperative Transmission Protocols Based on Multiuser
  Detection and Network Coding

abstract:
  Cooperative transmission is an emerging communication technique that takes
advantage of the broadcast nature of wireless channels. However, due to low
spectral efficiency and the requirement of orthogonal channels, its potential
for use in future wireless networks is limited. In this paper, by making use of
multiuser detection (MUD) and network coding, cooperative transmission
protocols with high spectral efficiency, diversity order, and coding gain are
developed. Compared with the traditional cooperative transmission protocols
with single-user detection, in which the diversity gain is only for one source
user, the proposed MUD cooperative transmission protocols have the merit that
the improvement of one user's link can also benefit the other users. In
addition, using MUD at the relay provides an environment in which network
coding can be employed. The coding gain and high diversity order can be
obtained by fully utilizing the link between the relay and the destination.
  From the analysis and simulation results, it is seen that the proposed
protocols achieve higher diversity gain, better asymptotic efficiency, and
lower bit error rate, compared to traditional MUD schemes and to existing
cooperative transmission protocols. From the simulation results, the
performance of the proposed scheme is near optimal as the performance gap is
0.12dB for average bit error rate (BER) 10^{-6} and 1.04dB for average BER
10^(-3), compared to two performance upper bounds.


title: About the logic of the prime number distribution

abstract:
  There are two basic number sequences which play a major role in the prime
number distribution. The first Number Sequence SQ1 contains all prime numbers
of the form 6n+5 and the second Number Sequence SQ2 contains all prime numbers
of the form 6n+1. All existing prime numbers seem to be contained in these two
number sequences, except of the prime numbers 2 and 3. Riemanns Zeta Function
also seems to indicate, that there is a logical connection between the
mentioned number sequences and the distribution of prime numbers. This
connection is indicated by lines in the diagram of the Zeta Function, which are
formed by the points s where the Zeta Function is real. Another key role in the
distribution of the prime numbers plays the number 5 and its periodic
occurrence in the two number sequences SQ1 and SQ2. All non-prime numbers in
SQ1 and SQ2 are caused by recurrences of these two number sequences with
increasing wave-lengths in themselves, in a similar fashion as Overtones
(harmonics) or Undertones derive from a fundamental frequency. On the contrary
prime numbers represent spots in these two basic Number Sequences SQ1 and SQ2
where there is no interference caused by these recurring number sequences. The
distribution of the non-prime numbers and prime numbers can be described in a
graphical way with a -Wave Model- (or Interference Model) -- see Table 2.


title: A Catalog of Background Stars Reddened by Dust in the Taurus Dark Clouds

abstract:
  Normal field stars located behind dense clouds are a valuable resource in
interstellar astrophysics, as they provide continua in which to study phenomena
such as gas-phase and solid-state absorption features, interstellar extinction
and polarization. This paper reports the results of a search for highly
reddened stars behind the Taurus Dark Cloud complex. We use the Two Micron All
Sky Survey (2MASS) Point Source Catalog to survey a 50 sq deg area of the cloud
to a limiting magnitude of K = 10.0. Photometry in the 1.2-2.2 micron passbands
from 2MASS is combined with photometry at longer infrared wavelengths (3.6-12
micron) from the Spitzer Space Telescope and the Infrared Astronomical
Satellite to provide effective discrimination between reddened field stars and
young stellar objects (YSOs) embedded in the cloud. Our final catalog contains
248 confirmed or probable background field stars, together with estimates of
their total visual extinctions, which span the range 2-29 mag. We also identify
the 2MASS source J04292083+2742074 (IRAS 04262+2735) as a previously
unrecognized candidate YSO, based on the presence of infrared emission greatly
in excess of that predicted for a normal reddened photosphere at wavelengths >5
microns.


title: Dual quark condensate and dressed Polyakov loops

abstract:
  We construct a new order parameter for finite temperature QCD by considering
the quark condensate for U(1)-valued temporal boundary conditions for the
fermions. Fourier transformation with respect to the boundary condition defines
the dual condensate. This quantity corresponds to an equivalence class of
Polyakov loops, thereby being an order parameter for the center symmetry. We
explore the duality relation between the quark condensate and these dressed
Polyakov loops numerically, using quenched lattice QCD configurations below and
above the QCD phase transition. It is demonstrated that the Dirac spectrum
responds differently to changing the boundary condition, in a manner that
reproduces the expected Polyakov loop pattern. We find the dressed Polyakov
loops to be dominated by the lowest Dirac modes, in contrast to thin Polyakov
loops investigated earlier.


title:
Quantum secret sharing protocol between multiparty and multiparty with
  single photons and unitary transformations

abstract:
  We propose a scheme of quantum secret sharing between Alices' group and Bobs'
group with single photons and unitary transformations. In the protocol, one
member in Alices' group prepares a sequence of single photons in one of four
different states, while other members directly encode their information on the
sequence of single photons via unitary operations, after that the last member
sends the sequence of single photons to Bobs' group. Then Bobs except for the
last one do work similarly. Finally last member in Bobs' group measures the
qubits. If Alices and Bobs guarnnted the security of quantum channel by some
tests, then the qubit states sent by last member of Alices' group can be used
as key bits for secret sharing. It is shown that this scheme is safe.


abstract:
  Two avowable quantum communication schemes are proposed.
  One is an avowable teleportation protocol based on the quantum cryptography.
In this protocol one teleports a set of one-particle states based on the
availability of an honest arbitrator, the keys and the Einstein-Podolsky-Rosen
pairs shared by the communication parties and the arbitrator. The key point is
that the fact of the teleportation can neither be disavowed by the sender nor
be denied by the receiver. Another is an avowable quantum secure direct
communication scheme. A one-way Hash function chosen by the communication
parties helps the receiver to validate the truth of the information and to
avoid disavowing for the sender.


title:
Bounded Mean-Delay Throughput and Non-Starvation Conditions in Aloha
  Network

abstract:
  This paper considers the requirements to ensure bounded mean queuing delay
and non-starvation in a slotted Aloha network operating the exponential backoff
protocol. It is well-known that the maximum possible throughput of a slotted
Aloha system with a large number of nodes is 1/e = 0.3679. Indeed, a saturation
throughput of 1/e can be achieved with an exponential backoff factor of r =
e/(e-1)=1.5820. The binary backoff factor of r = 2 is assumed in the majority
of prior work, and in many practical multiple-access networks such as the
Ethernet and WiFi. For slotted Aloha, the saturation throughput 0.3466 for r =
2 is reasonably close to the maximum of 1/e, and one could hardly raise
objection to adopting r = 2 in the system. However, this paper shows that if
mean queuing delay is to be bounded, then the sustainable throughput when r = 2
is only 0.2158, a drastic 41% drop from 1/e . Fortunately, the optimal setting
of r = 1.3757 under the bounded mean-delay requirement allows us to achieve
sustainable throughput of 0.3545, a penalty of only less than 4% relative to
1/e. A general conclusion is that the value of r may significantly affect the
queuing delay performance. Besides analyzing mean queuing delay, this paper
also delves into the phenomenon of starvation, wherein some nodes are deprived
of service for an extended period of time while other nodes hog the system.
Specifically, we propose a quantitative definition for starvation and show that
the conditions to guarantee bounded mean delay and non-starved operation are
one of the same, thus uniting these two notions. Finally, we show that when
mean delay is large and starvation occurs, the performance results obtained
from simulation experiments may not converge. A quantitative discussion of this
issue is provided in this paper.


title: Radiative Accelerations in Stellar Evolution

abstract:
  A brief review of various methods to calculate radiative accelerations for
stellar evolution and an analysis of their limitations are followed by
applications to Pop I and Pop II stars. Recent applications to Horizontal
Branch (HB) star evolution are also described. It is shown that models
including atomic diffusion satisfy Schwarzschild's criterion on the interior
side of the core boundary on the HB without the introduction of overshooting.
Using stellar evolution models starting on the Main Sequence and calculated
throughout evolution with atomic diffusion, radiative accelerations are shown
to lead to abundance anomalies similar to those observed on the HB of M15.


title: Geometrically controllable electric fields

abstract:
  According to a first-principles approach, we clarify electric cloaks
universality concerning a new class of phase transitions between negative
pathway (NGP) and normal pathway of electric displacement fields, which are
driven by the geometric shape of the cloak. We report that the NGP arises from
shape-enhanced strong negative electric polarization, and that it is related to
a symmetric oscillation of the paired electric permittivities, which are shown
to satisfy a sum rule. The NGP does not occur for a spherical cloak, but
appears up to maximum as the ratio a/b between the long and short principal
axis of the spheroidal cloak is about 5/2, and eventually disappears as a/b
becomes large enough corresponding to a rod-like shape. Then, the cloaking
efficiency is compared between different geometrical shapes. The possibility of
experiments is discussed. This work has relevance to crucial control of
electric fields and to general physics of phase transitions.


title:
The Third Law of Quantum Thermodynamics in the Presence of Anomalous
  Couplings

abstract:
  The quantum thermodynamic functions of a harmonic oscillator coupled to a
heat bath through velocity-dependent coupling are obtained analytically. It is
shown that both the free energy and the entropy decay fast with the temperature
in relation to that of the usual coupling from. This implies that the
velocity-dependent coupling helps to ensure the third law of thermodynamics.


title: Higher-order string effective actions and off-shell d=4 supergravity

abstract:
  We start by a concise yet thorough revision of four-dimensional superspace
supergravity. We present curved superspace geometry, for arbitrary N, including
torsion, curvature and Bianchi identities. We motivate the choice of torsion
constraints. We then consider the particular cases of N=1,2. In both cases we
show how Poincare supergravity can be obtained from conformal supergravity. We
see how to obtain the different versions of the Poincare off-shell theory, with
distinct compensating multiplets and sets of auxiliary fields. For those
versions of N=1,2 supergravities known as "old minimal", we present the
solutions to the Bianchi identities, their field content and we show how to
write superspace actions for these theories and their extensions using chiral
densities and chiral projectors. As concrete applications, we study the
supersymmetrization of the two possible R^4 terms in d=4, which are both
required as string corrections to supergravity. We conclude by discussing
possible applications of these results to open problems on black holes in
string theory.


title:
Optimal path of diffusion over the saddle point and fusion of massive
  nuclei

abstract:
  Diffusion of a particle passing over the saddle point of a two-dimensional
quadratic potential is studied via a set of coupled Langevin equations and the
expression for the passing probability is obtained exactly. The passing
probability is found to be strongly influenced by the off-diagonal components
of inertia and friction tensors. If the system undergoes the optimal path to
pass over the saddle point by taking an appropriate direction of initial
velocity into account, which departs from the potential valley and has minimum
dissipation, the passing probability should be enhanced. Application to fusion
of massive nuclei, we show that there exists the optimal injecting choice for
the deformable target and projectile nuclei, namely, the intermediate
deformation between spherical and extremely deformed ones which enables the
fusion probability to reach its maximum.


title: Theoretical study of lifetimes and polarizabilities in Ba+

abstract:
  The 6s-np_j (n=6-9) electric-dipole matrix elements and 6s-nd_j (n=5-7)
electric-quadrupole matrix elements in Ba+ are calculated using the
relativistic all-order method. The resulting values are used to evaluate ground
state dipole and quadrupole polarizabilities. In addition, the electric-dipole
6p_j-5d_j' matrix elements and magnetic-dipole 5d_{5/2}-5d_{3/2} matrix element
are calculated using the same method in order to determine the lifetimes of the
6p_{1/2}, 6p_{3/2}, 5d_{3/2}, and 5d_{5/2} levels. The accuracy of the 6s-5d_j
matrix elements is investigated in detail in order to estimate the
uncertainties in the quadrupole polarizability and 5d_j lifetime values. The
lifetimes of the 5d states in Ba+ are extremely long making precise experiments
very difficult. Our final results for dipole and quadrupole ground state
polarizabilities are alpha_{E1} = 124.15 a^3_0 and alpha_{E2} = 4182(34) a^5_0,
respectively. The resulting lifetime values are tau(6p_{1/2})=7.83 ns,
tau(6p_{3/2})=6.27 ns, tau(5d_{3/2})=81.5(1.2) s, and tau(5d_{5/2})=30.3(4) s.
The extensive comparison with other theoretical and experimental values is
carried out for both lifetimes and polarizabilities.


title: The optimal assignment kernel is not positive definite

abstract:
  We prove that the optimal assignment kernel, proposed recently as an attempt
to embed labeled graphs and more generally tuples of basic data to a Hilbert
space, is in fact not always positive definite.


title:
Nanostructuring Optical Waveguides by Focused Ion Beam Milling.
  Near-Field Characterization

abstract:
  Nanostructures have become an attractive subject due to many applications,
particularly the photonic bandgap effect observed in photonic crystals.
Nevertheless, the fabrication of such structures remains a challenge because of
accurate requirement concerning regularity, shape, hole depth etc. of the
structure. E-beam lithography permits a good control of dimensional parameters
but needs a 1-step fabrication process. In our work, we have to combine
traditional strip-load waveguides (SiO2/SiON/SiO2 on Si) and nanostructures
whose dimension are totally different. This imposes a 2-step process where
waveguides and nanostructures are successively fabricated. We have at our
disposal different ways to characterize these nanostructures. A direct aspect
control during and after FIB treatment can be achieved by FIB and SEM imaging.
Scanning near-field optical microscopy (SNOM) is currently the most effective
way to test guiding confinement in such surface structures by detecting the
evanescent field.


title:
The lengths distribution of laminar phases for type-I intermittency in
  the presence of noise

abstract:
  We consider a type of intermittent behavior that occurs as the result of the
interplay between dynamical mechanisms giving rise to type-I intermittency and
random dynamics. We analytically deduce the laws for the distribution of the
laminar phases, with the law for the mean length of the laminar phases versus
the critical parameter deduced earlier [PRE 62 (2000) 6304] being the corollary
fact of the developed theory. We find a very good agreement between the
theoretical predictions and the data obtained by means of both the experimental
study and numerical calculations. We discuss also how this mechanism is
expected to take place in other relevant physical circumstances.


title: Moufang loops and generalized Lie-Cartan theorem

abstract:
  Generalized Lie-Cartan theorem for linear birepresentations of an analytic
Moufang loop is considered. The commutation relations of the generators of the
birepresentation were found. In particular, the Lie algebra of the
multiplication group of the birepresentation is explicitly given.


title:
A Semi-parametric Technique for the Quantitative Analysis of Dynamic
  Contrast-enhanced MR Images Based on Bayesian P-splines

abstract:
  Dynamic Contrast-enhanced Magnetic Resonance Imaging (DCE-MRI) is an
important tool for detecting subtle kinetic changes in cancerous tissue.
Quantitative analysis of DCE-MRI typically involves the convolution of an
arterial input function (AIF) with a nonlinear pharmacokinetic model of the
contrast agent concentration. Parameters of the kinetic model are biologically
meaningful, but the optimization of the non-linear model has significant
computational issues. In practice, convergence of the optimization algorithm is
not guaranteed and the accuracy of the model fitting may be compromised. To
overcome this problems, this paper proposes a semi-parametric penalized spline
smoothing approach, with which the AIF is convolved with a set of B-splines to
produce a design matrix using locally adaptive smoothing parameters based on
Bayesian penalized spline models (P-splines). It has been shown that kinetic
parameter estimation can be obtained from the resulting deconvolved response
function, which also includes the onset of contrast enhancement. Detailed
validation of the method, both with simulated and in vivo data, is provided.


title:
Demonstration of Stimulated Supercontinuum Generation - An Optical
  Tipping Point

abstract:
  Optical supercontinuum radiation, a special kind of white light, has found
numerous applications in scientific research and technology. This bright,
broadband radiation can be generated from nearly monochromatic light through
the cooperative action of multiple nonlinear effects. Unfortunately,
supercontinuum radiation is plagued by large spectral and temporal fluctuations
owing to the spontaneous initiation of the generation process. While these
fluctuations give rise to fascinating behavior in the form of optical rogue
waves [1], they impede many critical applications of supercontinuum. Here, we
introduce, and experimentally demonstrate, a powerful means of control over
supercontinuum generation by stimulating the process with a very weak optical
seed signal [2]. This minute addition significantly reduces the input power
threshold for the process and dramatically increases the stability of the
resulting radiation. This effect represents an optical tipping point, as the
controlled addition of a specialized, but extraordinarily weak perturbation
powerfully impacts a much stronger optical field, inducing a drastic transition
in the optical system.


title: Weak Hopf monoids in braided monoidal categories

abstract:
  We develop the theory of weak bimonoids in braided monoidal categories and
show them to be quantum categories in a certain sense. Weak Hopf monoids are
shown to be quantum groupoids. Each separable Frobenius monoid R leads to a
weak Hopf monoid R \otimes R.


title: What Is There Between Any Two Nodes in a Complex Network?

abstract:
  This article focuses on the identification of the number of paths with
different lengths between pairs of nodes in complex networks and how, by
providing comprehensive information about the network topology, such an
information can be effectively used for characterization of theoretical and
real-world complex networks, as well as for identification of communities.


title:
The morphology of infinite tournaments. Application to the growth of
  their profile

abstract:
  A tournament is \emph{acyclically indecomposable} if no acyclic autonomous
set of vertices has more than one element. We identify twelve infinite
acyclically indecomposable tournaments and prove that every infinite
acyclically indecomposable tournament contains a subtournament isomorphic to
one of these tournaments. The {\it profile} of a tournament $T$ is the function
$\phi_T$ which counts for each integer $n$ the number $\phi_T(n)$ of
tournaments induced by $T$ on the $n$-element subsets of $T$, isomorphic
tournaments being identified. As a corollary of the result above we deduce that
the growth of $\phi_T$ is either polynomial, in which case $\phi_T(n)\simeq
an^k$, for some positive real $a$, some non-negative integer $k$, or as fast as
some exponential.


title:
Building a stochastic template bank for detecting massive black hole
  binaries

abstract:
  Coalescence of two massive black holes is the strongest and most promising
source for LISA. In fact, gravitational signal from the end of inspiral and
merger will be detectable throughout the Universe. In this article we describe
the first step in the two-step hierarchical search for gravitational wave
signal from the inspiraling massive BH binaries. It is based on the routinely
used in the ground base gravitational wave astronomy method of filtering the
data through the bank of templates. However we use a novel Monte-Carlo based
(stochastic) method to lay a grid in the parameter space, and we use the
likelihood maximized analytically over some parameters, known as F-statistic,
as a detection statistic. We build a coarse template bank to detect
gravitational wave signals and to make preliminary parameter estimation. The
best candidates will be followed up using Metropolis-Hasting stochastic search
to refine the parameter estimation. We demonstrate the performance of the
method by applying it to the Mock LISA data challenge 1B (training data set).


title:
First-principles modeling of strain in perovskite ferroelectric thin
  films

abstract:
  We review the role that first-principles calculations have played in
understanding the effects of substrate-imposed misfit strain on epitaxially
grown perovskite ferroelectric films. We do so by analyzing the case of
BaTiO$_3$, complementing our previous publications on this subject with
unpublished data to help explain in detail how these calculations are done. We
also review similar studies in the literature for other perovskite
ferroelectric-film materials.


title: A Simple Solution to a Major Problem: Proof of the Riemann Hypothesis

abstract:
  Starting from the symmetrical reflection functional equation of the zeta
function, we have found that the sigma values satisfying zeta(s) = 0 must also
satisfy both |zeta(s)| = |zeta(1 - s)| and |gamma(s/2)zeta(s)| = |gamma((1 -
s)/2)zeta(1 - s)|. We have shown that sigma = 1/2 is the only numeric solution
that satisfies this requirement.


title: Magnetoelectric Control of Domain Walls in a Ferrite Garnet Film

abstract:
  The effect of magnetic domain boundaries displacement induced by electric
field is observed in epitaxial ferrite garnet films (on substrates with the
(210) crystallographic orientation). The effect is odd with respect to the
electric field (the direction of wall displacement changes with the polarity of
the voltage) and even with respect to the magnetization in domains. The
inhomogeneous magnetoelectric interaction as a possible mechanism of the effect
is proposed.


title:
Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild
  Black Hole

abstract:
  We study tunneling process through quantum horizon of a Schwarzschild black
hole in noncommutative spacetime. This is done by considering the effect of
smearing of the particle mass as a Gaussian profile in flat spacetime. We show
that even in this noncommutative setup there will be no correlation between the
different modes of radiation which reflects the fact that information doesn't
come out continuously during the evaporation process at least at late-time.
However, due to spacetime noncommutativity, information might be preserved by a
stable black hole remnant.


title:
Competition between Pomeranchuk instabilities in the nematic and hexatic
  channels in a two-dimensional spinless Fermi fluid

abstract:
  We study the competition between the nematic and the hexatic phases of a
two-dimensional spinless Fermi fluid near Pomeranchuk instabilities. We show
that the general phase diagram of this theory contains a bicritical point where
two second order lines and a first order nematic/hexatic phase transition meet
together. We found that at criticality, and deep inside the associated symmetry
broken phases, the low energy theory is governed by a dissipative cubic mode,
even near the bicritical point where nematic and hexatic fluctuations cannot be
distinguished due to very strong dynamical couplings.


title: Exceptional symmetric domains

abstract:
  We give the presentation of exceptional bounded symmetric domains using the
Albert algebra and exceptional Jordan triple systems.
  The first chapter is devoted to Cayley-Graves algebras, the second to
exceptional Jordan triple systems. In the third chapter, we give a geometric
description of the two exceptional bounded symmetric domains, their boundaries
and their compactification.


title: On the metallic conductivity of the delafossites PdCoO2 and PtCoO2

abstract:
  The origin of the quasi two-dimensional behavior of PdCoO2 and PtCoO2 is
investigated by means of electronic structure calculations. They are performed
using density functional theory in the generalized gradient approximation as
well as the new full-potential augmented spherical wave method. We show that
the electric conductivity is carried almost exclusively by the in-plane Pd (Pt)
d orbitals. In contrast, the insulating CoO2 sandwich layers of octahedrally
coordinated Co atoms may be regarded as charge carrier reservoirs. This leads
to a weak electronic coupling of the Pd (Pt) layers. The obtained nearly
cylindrical Fermi surface causes the strong anisotropy of the electric
conductivity.


title:
Polarization--universal rejection filtering by ambichiral structures
  made of indefinite dielectric--magnetic materials

abstract:
  An ambichiral structure comprising sheets of an anisotropic dielectric
material rejects normally incident plane waves of one circular polarization
(CP) state but not of the other CP state, in its fundamental Bragg regime.
However, if the same structure is made of an dielectric--magnetic material with
indefinite permittivity and permeability dyadics, it may function as a
polarization--universal rejection filter because two of the four planewave
components of the electromagnetic field phasors in each sheet are of the
positive--phase--velocity type and two are of the negative--phase--velocity
type.


title:
An equivalence preserving transformation from the Fibonacci to the
  Galois NLFSRs

abstract:
  Conventional Non-Linear Feedback Shift Registers (NLFSRs) use the Fibonacci
configuration in which the value of the first bit is updated according to some
non-linear feedback function of previous values of other bits, and each
remaining bit repeats the value of its previous bit. We show how to transform
the feedback function of a Fibonacci NLFSR into several smaller feedback
functions of individual bits. Such a transformation reduces the propagation
time, thus increasing the speed of pseudo-random sequence generation. The
practical significance of the presented technique is that is makes possible
increasing the keystream generation speed of any Fibonacci NLFSR-based stream
cipher with no penalty in area.


title: Recent developments in heterotic compactifications

abstract:
  In this short review, we outline three sets of developments in understanding
heterotic string compactifications. First, we outline recent progress in
heterotic analogues of quantum cohomology computations. Second, we discuss a
potential swampland issue in heterotic strings, and new heterotic string
constructions that can be used to fill in the naively missing theories. Third,
we discuss recent developments in string compactifications on stacks and their
applications, concluding with an outline of work-in-progress on heterotic
string compactifications on gerbes.


title:
The general solutions of some nonlinear second order PDEs.I. Two
  independent variables, constant parameters

abstract:
  In the first part of planned series of papers the formal general solutions to
selection of 80 examples of different types of second order nonlinear PDEs in
two independent variables with constant parameters are given. The main goal
here is to show on examples the types of solvable PDEs and what their general
solutions look like. The solving strategy, used here, as a rule is the order
reduction. The order reduction method is implemented in Maple procedure, which
applicable to PDEs of different order with different number of independent
variables. Some of given PDEs are solved by order lifting to PDEs, which are
solvable by the subsequent order reduction.


title:
On Reliability of Dynamic Addressing Routing Protocols in Mobile Ad Hoc
  Networks

abstract:
  In this paper, a reliability analysis is carried out to state a performance
comparison between two recently proposed proactive routing algorithms. These
protocols are able to scale in ad hoc and sensor networks by resorting to
dynamic addressing, to face with the topology variability, which is typical of
ad hoc, and sensor networks. Numerical simulations are also carried out to
corroborate the results of the analysis.


title:
Luminosity function of contact binaries at high galactic latitudes
  towards the LMC and the SMC

abstract:
  Using the OGLE catalogue of eclipsing binaries, 15 contact binaries were
identified towards the SMC and the LMC at vertical distances from the Galactic
plane between 300 pc and 10 kpc. Based on the luminosity function calculated
for these contact binaries, we estimated a frequency of occurrence relative to
Main Sequence stars in the thick disk at roughly 1/600. This estimate suffers
from the small number statistics, but is consistent with the value previously
found for the solar neighbourhood.


title:
Geometric methods for the most general Ginzburg-Landau model with two
  order parameters

abstract:
  The Landau potential in the general Ginzburg-Landau theory with two order
parameters and all possible quadratic and quartic terms cannot be minimized
with the straightforward algebra. Here, a geometric approach is presented that
circumvents this computational difficulty and allows one to get insight into
many properties of the model in the mean-field approximation.


title: Fitting the young main-sequence; distances, ages and age spreads

abstract:
  We use several main-sequence models to derive distances (and extinctions),
with statistically meaningful uncertainties for 11 star-forming-regions and
young clusters. The model dependency is shown to be small, allowing us to adopt
the distances derived using one model. Using these distances we have revised
the age order for some of the clusters of Mayne et al (2007). The new
(approximate) nominal ages are: 2 Myrs for NGC6530 and the ONC, 3 Myrs for
Lambda Orionis, NGC2264 and Sigma Orionis, 4-5 Myrs for NGC2362, 13 Myrs for h
and chi Per, 20 Myrs for NGC1960 and 40 Myrs for NGC2547. In cases of
significantly variable extinction we have derived individual extinctions using
a revised Q-method (Johnson and Morgan, 1953). These new data show that the
largest remaining uncertainty in deriving an age ordering (and necessarily
ages) is metallicity. We also discuss the use of a feature we term the R-C gap
overlap to provide a diagnostic of isochronal age spreads or varying accretion
histories within a given star-formation-region. Finally, recent derivations of
the distance to the ONC lie in two groups. Our new more precise distance of
391(+12,-9) pc allows us to decisively reject the further distance, we adopt
400 pc as a convenient value.


title:
Effect of the Intrinsic Width on the Piezoelectric Force Microscopy of a
  Single Ferroelectric Domain Wall

abstract:
  Intrinsic domain wall width is a fundamental parameter that reflects bulk
ferroelectric properties and governs the performance of ferroelectric memory
devices. We present closed-form analytical expressions for vertical and lateral
piezoelectric force microscopy (PFM) profiles for the conical and disc models
of the tip, beyond point charge and sphere approximations. The analysis takes
into account the finite intrinsic width of the domain wall, and dielectric
anisotropy of the material. These analytical expressions provide insight into
the mechanisms of PFM image formation and can be used for quantitative analysis
of the PFM domain wall profiles. PFM profile of a realistic domain wall is
shown to be the convolution of its intrinsic profile and resolution function of
PFM.