title: Krull dimension of solvable groups

abstract:
  In this paper we prove that free solvable groups have finite Krull dimension.
In fact, this is true for much wider class of solvable groups, termed rigid
groups. Along the way we study the algebraic structure of the limit solvable
groups (fully residually free solvable groups).


title:
Rare decay $\pi^{0}\to e^+ e^-$ constraints on the light CP-odd Higgs in
  NMSSM

abstract:
  We constrain the light CP-odd Higgs $A_{1}^{0}$ in NMSSM via the rare decay
$\pi^{0}\to e^{+}e^{-}$. It is shown that the possible $3\sigma$ discrepancy
between theoretical predictions and the recent KTeV measurement of ${\cal
B}({\pi}^{0}\to e^+ e^-)$ cannot be resolved when the constraints from
$\Upsilon\to\gamma A_1^0$, $a_{\mu}$ and $\pi^{0}\to \gamma \gamma$ are
combined. Furthermore, the combined constraints also exclude the scenario
involving $m_{A_1^0}=214.3$ MeV, which is invoked to explain the anomaly in the
$\Sigma^{+}\to p \mu^{+}\mu^{-}$ decay found by the HyperCP Collaboration.


title: Supersymmetry Searches at the LHC

abstract:
  The search for Beyond the Standard Model (BSM) physics is one of the major
tasks of the LHC, CERN. In these proceedings, I review the status of searches
for Supersymmetry by the ATLAS and CMS collaborations. The efforts in both the
hadronic and leptonic search channels are presented. A special focus is placed
on the treatment of approximately one inverse femtobarn of early LHC data, and
examples of background estimation techniques in such a dataset are given.
Phenomenologically, besides "typical" mSUGRA scenarios, signatures based on
prompt and non-pointing photons, as well as long-lived leptons and hadrons
(R-hadrons) are covered.


title: Proton-Proton Physics with ALICE

abstract:
  The goal of the ALICE experiment at LHC is to study strongly interacting
matter at high energy densities as well as the signatures and properties of the
quark-gluon plasma. This goal manifests itself in a rich physics program.
Although ALICE will mainly study heavy-ion collisions, a dedicated program will
concentrate on proton-proton physics. The first part will introduce the ALICE
experiment from a pp measurement's point of view. Two unique properties are its
low pT cut-off and the excellent PID capabilities. The various topics of the
proton-proton physics program, which will allow a close scrutiny of existing
theoretical models, will be described. Furthermore, the interpretation of
measurements of heavy-ion collisions necessitates the comparison to
measurements of pp collisions. The second part will concentrate on the day-1
physics program of ALICE. At startup, neither the LHC luminosity nor its energy
will have their nominal values. Furthermore, the ALICE detector is in the
process of being aligned and calibrated. Still several physics topics can be
studied from the very beginning. These will be presented as well as the effort
that is already ongoing to be ready for the first collision. The statistics
needed for each of the topics will be given with respect to the foreseen LHC
startup scenario.


title:
Bouncing trimer: a random self-propelled particle, chaos and periodical
  motions

abstract:
  A trimer is an object composed of three centimetrical stainless steel beads
equally distant and is predestined to show richer behaviours than the bouncing
ball or the bouncing dimer. The rigid trimer has been placed on a plate of a
electromagnetic shaker and has been vertically vibrated according to a
sinusoidal signal. The horizontal translational and rotational motions of the
trimer have been recorded for a range of frequencies between 25 and 100 Hz
while the amplitude of the forcing vibration was tuned for obtaining maximal
acceleration of the plate up to 10 times the gravity. Several modes have been
detected like e.g. rotational and pure translational motions. These modes are
found at determined accelerations of the plate and do not depend on the
frequency. By recording the time delays between two successive contacts when
the frequency and the amplitude are fixed, a mapping of the bouncing regime has
been constructed and compared to that of the dimer and the bouncing ball.
Period-2 and period-3 orbits have been experimentally observed. In these modes,
according to observations, the contact between the trimer and the plate is
persistent between two successive jumps. This persistence erases the memory of
the jump preceding the contact. A model is proposed and allows to explain the
values of the particular accelerations for which period-2 and period-3 modes
are observed. Finally, numerical simulations allow to reproduce the
experimental results. That allows to conclude that the friction between the
beads and the plate is the major dissipative process.


title:
Assessing potential cluster Cepheids from a new distance and reddening
  parameterization and 2MASS photometry

abstract:
  A framework is outlined to assess Cepheids as potential cluster members from
readily available photometric observations. A relationship is derived to
estimate colour excess and distance for individual Cepheids through a
calibration involving recently published HST parallaxes and a cleaned sample of
established cluster Cepheids. Photometric (V-J) colour is found to be a viable
parameter for approximating a Cepheid's reddening. The non-universal nature of
the slope of the Cepheid PL relation for BV photometry is confirmed. By
comparison, the slopes of the VJ and VI relations seem relatively unaffected by
metallicity. A new Galactic Cepheid confirmed here, GSC 03729-01127 (F6-G1 Ib),
is sufficiently coincident with the coronal regions of Tombaugh 5 to warrant
follow-up radial velocity measures to assess membership. CCD photometry and
O--C diagrams are presented for GSC 03729-01127 and the suspected cluster
Cepheids AB Cam and BD Cas. Fourier analysis of the photometry for BD Cas and
recent estimates of its metallicity constrain it to be a Population I overtone
pulsator rather than a Type II s-Cepheid. AB Cam and BD Cas are not physically
associated with the spatially-adjacent open clusters Tombaugh 5 and King 13,
respectively, the latter being much older (log t ~ 9) than believed previously.
Rates of period change are determined for the three Cepheids from archival and
published data. GSC 03729-01127 and AB Cam exhibit period increases, implying
fifth and third crossings of the instability strip, respectively, while BD Cas
exhibits a period decrease, indicating a second crossing, with possible
superposed trends unrelated to binarity. More importantly, the observed rates
of period change confirm theoretical predictions. The challenges and prospects
for future work in this area of research are discussed.


title:
Locally undetermined states, generalized Schmidt decomposition, and an
  application in distributed computing

abstract:
  Multipartite quantum states that cannot be uniquely determined by their
reduced states of all proper subsets of the parties exhibit some inherit
`high-order' correlation. This paper elaborates this issue by giving necessary
and sufficient conditions for a pure multipartite state to be locally
undetermined, and moreover, characterizing precisely all the pure states
sharing the same set of reduced states with it. Interestingly, local
determinability of pure states is closely related to a generalized notion of
Schmidt decomposition. Furthermore, we find that locally undetermined states
have some applications to the well-known consensus problem in distributed
computation. To be specific, given some physically separated agents, when
communication between them, either classical or quantum, is unreliable and they
are not allowed to use local ancillary quantum systems, then there exists a
totally correct and completely fault-tolerant protocol for them to reach a
consensus if and only if they share a priori a locally undetermined quantum
state.


title: Algorithmic derivation of Dyson-Schwinger Equations

abstract:
  We present an algorithm for the derivation of Dyson-Schwinger equations of
general theories that is suitable for an implementation within a symbolic
programming language. Moreover, we introduce the Mathematica package DoDSE
which provides such an implementation. It derives the Dyson-Schwinger equations
graphically once the interactions of the theory are specified. A few examples
for the application of both the algorithm and the DoDSE package are provided.
The package can be obtained from physik.uni-graz.at/~mah/DoDSE.html.


title: A New Kind of Weak-Coupling in Top-Quark Physics ?

abstract:
  In the standard model, for the t --> W b decay mode, the relative phase is
0-degrees between the dominant A(0,-1/2) and A(-1, -1/2) helicity amplitudes.
However, in the case of an additional large t_R --> b_L chiral weak-transition
moment, there is instead a 180-degree relative phase and three theoretical
numerical puzzles. This phase can be measured at the Tevatron or LHC in
top-antitop pair production by use of W-boson longitudinal-transverse
interference in beam-referenced stage-two spin-correlation functions. Indeed,
this is a new type of weak-coupling for it is directly associated with E_W, the
W-boson energy in the top quark rest frame, instead of with a canonical
effective mass scale. For most 2 --> 2 reactions, the simple off-shell
continuation of this additional coupling is found to have good high energy
properties, i.e. it does not destroy 1-loop unitarity of the SM. In a subset of
processes, additional third-generation couplings are required.


title:
Fully Gapped Superconducting State Based on a High Normal State
  Quasiparticle Density of States in Ba$_{0.6}$K$_{0.4}$Fe$_2$As$_2$ Single
  Crystals

abstract:
  We report the specific heat (SH) measurements on single crystals of hole
doped $FeAs$-based superconductor $Ba_{0.6}K_{0.4}Fe_2As_2$. It is found that
the electronic SH coefficient $\gamma_e(T)$ is not temperature dependent and
increases almost linearly with the magnetic field in low temperature region.
These point to a fully gapped superconducting state. Surprisingly the sharp SH
anomaly $\Delta C/T|_{T_c}$ reaches a value of 98 $mJ/mol K^2$ suggesting a
very high normal state quasiparticle density of states ($\gamma_n \approx 63
mJ/mol K^2$). A detailed analysis reveals that the $\gamma_e(T)$ cannot be
fitted with a single gap of s-wave symmetry due to the presence of a hump in
the middle temperature region. However, our data indicate that the dominant
part of the superconducting condensate is induced by an s-wave gap with the
magnitude of about 6 meV.


title: Morita Equivalence of Brandt Semigroup Algebras

abstract:
  We prove that for every group $G$ and any two sets $I,J$, the Brandt
semigroup algebras $\ell(B(I,G))$ and $\ell(B(J,G))$ are Morita equivalent with
respect to the Morita theory of self-induced Banach algebras introduced by
Gronbaek. As applications, we show that if $G$ is an amenable group, then for a
wide class of Banach $\ell(B(I,G))$-bimodules $E$, and every $n>0$, the bounded
Hochschild cohomology groups $H^n(\ell(B(I,G)),E^*)$ are trivial, and also, the
notion of approximate amenability is not Morita invariant.


title:
A binary tree representation for the 2-adic valuation of a sequence
  arising from a rational integral

abstract:
  We present a binary tree that describes the 2-adic valuation of a sequence of
coefficients arising from the evaluation of a rational integral.


title: Parseval frames for ICC groups

abstract:
  We analyze Parseval frames generated by the action of an
  ICC group on a Hilbert space. We parametrize the set of all such Parseval
frames by operators in the commutant of the corresponding representation. We
characterize when two such frames are strongly disjoint. We prove an
undersampling result showing that if the representation has a Parseval frame of
norm $\frac{1}{\sqrt{N}}$, the Hilbert space is spanned by an orthonormal basis
generated by a subgroup. As applications we obtain some sufficient conditions
under which a unitary representation admits a Parseval frame which is spanned
by an Riesz sequences generated by a subgroup. In particular, every
subrepresentation of the left regular representation of a free group has this
property.


title:
Density and Correlation functions of vortex and saddle points in open
  billiard systems

abstract:
  We present microwave measurements for the density and spatial correlation of
current critical points in an open billiard system, and compare them with the
predictions of the Random Wave Model (RWM). In particular, due to a novel
improvement of the experimental set-up, we determine experimentally the spatial
correlation of saddle points of the current field. An asymptotic expression for
the vortex-saddle and saddle-saddle correlation functions based on the RWM is
derived, with experiment and theory agreeing well. We also derive an expression
for the density of saddle points in the presence of a straight boundary with
general mixed boundary conditions in the RWM, and compare with experimental
measurements of the vortex and saddle density in the vicinity of a straight
wall satisfying Dirichlet conditions.


title: Probability and Fourier duality for affine iterated function systems

abstract:
  Let $d$ be a positive integer, and let $\mu$ be a finite measure on $\br^d$.
In this paper we ask when it is possible to find a subset $\Lambda$ in $\br^d$
such that the corresponding complex exponential functions $e_\lambda$ indexed
by $\Lambda$ are orthogonal and total in $L^2(\mu)$. If this happens, we say
that $(\mu, \Lambda)$ is a spectral pair. This is a Fourier duality, and the
$x$-variable for the $L^2(\mu)$-functions is one side in the duality, while the
points in $\Lambda$ is the other. Stated this way, the framework is too wide,
and we shall restrict attention to measures $\mu$ which come with an intrinsic
scaling symmetry built in and specified by a finite and prescribed system of
contractive affine mappings in $\br^d$; an affine iterated function system
(IFS). This setting allows us to generate candidates for spectral pairs in such
a way that the sets on both sides of the Fourier duality are generated by
suitably chosen affine IFSs. For a given affine setup, we spell out the
appropriate duality conditions that the two dual IFS-systems must have. Our
condition is stated in terms of certain complex Hadamard matrices. Our main
results give two ways of building higher dimensional spectral pairs from
combinatorial algebra and spectral theory applied to lower dimensional systems.


title: The Frame Potential, on Average

abstract:
  A SIC consists of N^2 equiangular unit vectors in an N dimensional Hilbert
space. The frame potential is a function of N^2 unit vectors. It has a unique
global minimum if the vectors form a SIC, and this property has been made use
of in numerical searches for SICs. When the vectors form an orbit of the
Heisenberg group the frame potential becomes a function of a single fiducial
vector. We analytically compute the average of this function over Hilbert
space. We also compute averages when the fiducial vector is placed in certain
special subspaces defined by the Clifford group.


title: Exotic c c-bar Mesons

abstract:
  A surprising number of new c c-bar mesons with masses above the D D-bar
threshold have been discovered at the B factories. Some of them are ordinary
charmonium states, but others are definitely exotic mesons. The current
theoretical status of the new c c-bar mesons is summarized.


title:
On the Use of Group Theoretical and Graphical Techniques toward the
  Solution of the General N-body Problem

abstract:
  Group theoretic and graphical techniques are used to derive the N-body wave
function for a system of identical bosons with general interactions through
first-order in a perturbation approach. This method is based on the maximal
symmetry present at lowest order in a perturbation series in inverse spatial
dimensions. The symmetric structure at lowest order has a point group
isomorphic with the S_N group, the symmetric group of N particles, and the
resulting perturbation expansion of the Hamiltonian is order-by-order invariant
under the permutations of the S_N group. This invariance under S_N imposes
severe symmetry requirements on the tensor blocks needed at each order in the
perturbation series. We show here that these blocks can be decomposed into a
basis of binary tensors invariant under S_N. This basis is small (25 terms at
first order in the wave function), independent of N, and is derived using
graphical techniques. This checks the N^6 scaling of these terms at first order
by effectively separating the N scaling problem away from the rest of the
physics. The transformation of each binary tensor to the final normal
coordinate basis requires the derivation of Clebsch-Gordon coefficients of S_N
for arbitrary N. This has been accomplished using the group theory of the
symmetric group. This achievement results in an analytic solution for the wave
function, exact through first order, that scales as N^0, effectively
circumventing intensive numerical work. This solution can be systematically
improved with further analytic work by going to yet higher orders in the
perturbation series.


title: Polynomial Bounds for Oscillation of Solutions of Fuchsian Systems

abstract:
  We study the problem of placing effective upper bounds for the number of
zeros of solutions of Fuchsian systems on the Riemann sphere. The principal
result is an explicit (non-uniform) upper bound, polynomially growing on the
frontier of the class of Fuchsian systems of given dimension n having m
singular points. As a function of n,m, this bound turns out to be double
exponential in the precise sense explained in the paper. As a corollary, we
obtain a solution of the so called restricted infinitesimal Hilbert 16th
problem, an explicit upper bound for the number of isolated zeros of Abelian
integrals which is polynomially growing as the Hamiltonian tends to the
degeneracy locus. This improves the exponential bounds recently established by
A. Glutsyuk and Yu. Ilyashenko.


title:
Hecke-Clifford algebras and spin Hecke algebras III: the trigonometric
  type

abstract:
  The notion of trigonometric spin double affine Hecke algebras (tsDaHa) and
trigonometric double affine Hecke-Clifford algebras (tDaHCa) associated to
classical Weyl groups are introduced. The PBW basis property is established. An
algebra isomorphism relating tDaHCa to tsDaHa is obtained.


title:
On the Number of Zeros of Abelian Integrals: A Constructive Solution of
  the Infinitesimal Hilbert Sixteenth Problem

abstract:
  We prove that the number of limit cycles generated by a small
non-conservative perturbation of a Hamiltonian polynomial vector field on the
plane, is bounded by a double exponential of the degree of the fields. This
solves the long-standing tangential Hilbert 16th problem. The proof uses only
the fact that Abelian integrals of a given degree are horizontal sections of a
regular flat meromorphic connection (Gauss-Manin connection) with a
quasiunipotent monodromy group.


title:
Declarative Combinatorics: Isomorphisms, Hylomorphisms and Hereditarily
  Finite Data Types in Haskell

abstract:
  This paper is an exploration in a functional programming framework of {\em
isomorphisms} between elementary data types (natural numbers, sets, multisets,
finite functions, permutations binary decision diagrams, graphs, hypergraphs,
parenthesis languages, dyadic rationals, primes, DNA sequences etc.) and their
extension to hereditarily finite universes through {\em hylomorphisms} derived
from {\em ranking/unranking} and {\em pairing/unpairing} operations.
  An embedded higher order {\em combinator language} provides any-to-any
encodings automatically.
  Besides applications to experimental mathematics, a few examples of ``free
algorithms'' obtained by transferring operations between data types are shown.
Other applications range from stream iterators on combinatorial objects to
self-delimiting codes, succinct data representations and generation of random
instances.
  The paper covers 59 data types and, through the use of the embedded
combinator language, provides 3540 distinct bijective transformations between
them.
  The self-contained source code of the paper, as generated from a literate
Haskell program, is available at
\url{http://logic.csci.unt.edu/tarau/research/2008/fISO.zip}.
  {\bf Keywords}: Haskell data representations, data type isomorphisms,
declarative combinatorics, computational mathematics, Ackermann encoding,
G\"{o}del numberings, arithmetization, ranking/unranking, hereditarily finite
sets, functions and permutations, encodings of binary decision diagrams, dyadic
rationals, DNA encodings


title: Gluon saturation effects on J/Psi production in heavy ion collisions

abstract:
  We consider a novel mechanism for J/Psi production in nuclear collisions
arising due to the high density of gluons. We calculate the resulting J/Psi
production cross section as a function of rapidity and centrality. We evaluate
the nuclear modification factor and show that the rapidity distribution of the
produced J/Psi's is significantly more narrow in AA collisions due to the gluon
saturation effects. Our results indicate that gluon saturation in the colliding
nuclei is a significant source of J/Psi suppression that can be disentangled
from the quark-gluon plasma effects.


title: Is the photon paramagnetic?

abstract:
  A photon exhibits a tiny anomalous magnetic moment $\mu_{\gamma}$ due to its
interaction with an external constant magnetic field in vacuum through the
virtual electron-positron background. It is paramagnetic ($\mu_{\gamma}>0$) in
the whole region of transparency, i.e. below the first threshold energy for
pair creation and has a maximum near this threshold. The photon magnetic moment
is different for eigenmodes polarized along and perpendicular to the magnetic
field. Explicit expressions are given for $\mu_{\gamma}$ for the cases of
photon energies smaller and closer to the first pair creation threshold. The
region beyond the first threshold is briefly discussed.


title: Spinor fields in Causal Set Theory

abstract:
  The goal of this paper is to define fermionic fields on causal set. This is
done by the use of holonomies to define vierbines, and then defining spinor
fields by taking advantage of the leftover degrees of freedom of holonomies
plus additional scalar fields. Grassmann nature is being enforced by allowing
measure to take both positive and negative values, and also by introducing a
vector space to have both commutting dot product and anticommutting wedge
product.


title: Introduction to String Theory

abstract:
  The aim of these notes is to give recent developments in string theory. In
particular, we discuss the string spectrums, compactifications, brane physics
and dualities.


title:
Series expansion of the photon self-energy in QED and the photon
  anomalous magnetic moment

abstract:
  We start from the analytical expression of the eigenvalues $\kappa^{(i)}$ of
the photon self-energy tensor in an external constant magnetic field $B$
calculated by Batalin Shabad in the Furry representation, and in the one-loop
approximation. We expand in power series of the external field and in terms of
the squared photon transverse momentum $z_2$ and (minus) transverse energy
$z_1=k^2-z_2$, in terms of which are expressed $\kappa^{(i)}$. A general
expression is given for the photon anomalous magnetic moment $\mu_{\gamma}>0$
in the region of transparency, below the first threshold for pair creation, and
it is shown that it is positive, i.e. paramagnetic. The results of the
numerical calculation for $\mu_{\gamma}>0$ are displayed in a region close to
the threshold.


title: A New World Sheet Field Theory

abstract:
  A second quantized field theory on the world sheet is developed for summing
planar graphs of the phi^3 theory. This is in contrast to the earlier work,
which was based on first quantization. The ground state of the model is
investigated with the help of a variational ansatz. In complete agreement with
standard perturbation theory, the infinities encountered in carrying out this
calculation can be eliminated by the renormalization of the parameters of the
model. We also find that, as in the earlier work, in the ground state, graphs
form a dense network (condensate) on the world sheet.


title: Models of expansions of N with no end extensions

abstract:
  We deal with models of Peano arithmetic (specifically with a question of Ali
Enayat). The methods are from creature forcing. We find an expansion of N such
that its theory has models with no (elementary) end extensions. In fact there
is a Borel uncountable set of subsets of N such that expanding N by any
uncountably many of them suffice. Also we find arithmetically closed A with no
definably closed ultrafilter on it.


title:
Gravitational catalysis of chiral and color symmetry breaking of quark
  matter in hyperbolic space

abstract:
  We study the dynamical breaking of chiral and color symmetries of dense quark
matter in the ultrastatic hyperbolic spacetime $R\otimes H^3$ in the framework
of an extended Nambu--Jona-Lasinio model. On the basis of analytical
expressions for chiral and color condensates as functions of curvature and
temperature, the phenomenon of dimensional reduction and gravitational
catalysis of symmetry breaking in strong gravitational field is demonstrated in
the regime of weak coupling constants. In the case of strong couplings it is
shown that curvature leads to small corrections to the flat-space values of
condensate and thus enhances the symmetry breaking effects. Finally, using
numerical calculations phase transitions under the influence of chemical
potential and negative curvature are considered and the phase portrait of the
system is constructed.


title: Is there an Ay problem in low-energy neutron-proton scattering?

abstract:
  We calculate Ay in neutron-proton scattering for the interactions models
WJC-1 and WJC-2 in the Covariant Spectator Theory. We find that the recent 12
MeV measurements performed at TUNL are in better agreement with our results
than with the Nijmegen Phase Shift Analysis of 1993, and after reviewing the
low-energy data, conclude that there is no Ay problem in low-energy np
scattering.


title: A High Phase-Space-Density Gas of Polar Molecules

abstract:
  A quantum gas of ultracold polar molecules, with long-range and anisotropic
interactions, would not only enable explorations of a large class of many-body
physics phenomena, but could also be used for quantum information processing.
We report on the creation of an ultracold dense gas of 40K87Rb polar molecules.
Using a single step of STIRAP (STImulated Raman Adiabatic Passage) via
two-frequency laser irradiation, we coherently transfer extremely weakly bound
KRb molecules to the rovibrational ground state of either the triplet or the
singlet electronic ground molecular potential. The polar molecular gas has a
peak density of 10^12 cm^-3, and an expansion-determined translational
temperature of 350 nK. The polar molecules have a permanent electric dipole
moment, which we measure via Stark spectroscopy to be 0.052(2) Debye for the
triplet rovibrational ground state and 0.566(17) Debye for the singlet
rovibrational ground state. (1 Debye= 3.336*10^-30 C m)


title: Estimating the Lengths of Memory Words

abstract:
  For a stationary stochastic process $\{X_n\}$ with values in some set $A$, a
finite word $w \in A^K$ is called a memory word if the conditional probability
of $X_0$ given the past is constant on the cylinder set defined by
$X_{-K}^{-1}=w$. It is a called a minimal memory word if no proper suffix of
$w$ is also a memory word. For example in a $K$-step Markov processes all words
of length $K$ are memory words but not necessarily minimal. We consider the
problem of determining the lengths of the longest minimal memory words and the
shortest memory words of an unknown process $\{X_n\}$ based on sequentially
observing the outputs of a single sample $\{\xi_1,\xi_2,...\xi_n\}$. We will
give a universal estimator which converges almost surely to the length of the
longest minimal memory word and show that no such universal estimator exists
for the length of the shortest memory word. The alphabet $A$ may be finite or
countable.


title: On stability, fluctuations, and quantum mechanics

abstract:
  We review a stability approach to quantization by Rusov and Vlasenko and
indicate possible comparisons of fluctuations to standard situations involving
a quantum potential.


title:
Interplay of complete wetting, critical adsorption, and capillary
  condensation

abstract:
  The excess adsorption $\Gamma $ in two-dimensional Ising strips $(\infty
\times L)$ subject to identical boundary fields, at both one-dimensional
surfaces decaying in the orthogonal direction $j$ as $-h_1j^{-p}$, is studied
for various values of $p$ and along various thermodynamic paths below the
critical point by means of the density-matrix renormalization-group method. The
crossover behavior between the complete wetting and critical adsorption
regimes, occurring in semi-infinite systems, are strongly influenced by
confinement effects. Along isotherms $T=const$ the asymptotic power law
dependences on the external bulk field, which characterize these two regimes,
are undercut by capillary condensation. Along the pseudo first-order phase
coexistence line of the strips, which varies with temperature, we find a broad
crossover regime where both the thickness of the wetting film and $\Gamma$
increase as function of the reduced temperature $\tau$ but do not follow any
power law. Above the wetting temperature the order parameter profiles are not
slab-like but exhibit wide interfacial variations and pronounced tails. Inter
alia, our explicit calculations demonstrate that, contrary to opposite claims
by Kroll and Lipowsky [Phys. Rev. B {\bf 28}, 5273 (1983)], for $p=2$ critical
wetting transitions do exist and we determine the corresponding wetting phase
diagram in the $(h_1,T)$ plane.


title: Continuous Bounded Cohomology of Topological Semigroups

abstract:
  In this short note, we give some new results on continuous bounded cohomology
groups of topological semigroups with values in complex field. We show that the
second continuous bounded cohomology group of a compact metrizable semigroup,
is a Banach space. Also, we study cohomology groups of amenable topological
semigroups, and we show that cohomology groups of rank greater than one of a
compact left or right amenable semigroup, are trivial. Also, we give some
examples and applications about topological lattices.


title: On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues

abstract:
  We prove that the isoperimetric inequality due to Hersch-Payne-Schiffer for
the n-th nonzero Steklov eigenvalue of a bounded simply-connected planar domain
is sharp for all n=1,2,... The equality is attained in the limit by a sequence
of simply-connected domains degenerating to the disjoint union of n identical
disks. We give a new proof of this inequality for n=2 and show that it is
strict in this case. Related results are also obtained for the product of two
consecutive Steklov eigenvalues.


title: Electronic Selection Rules Controlling Dislocation Glide in bcc Metals

abstract:
  The validity of the structure-property relationships governing the
deformation behavior of bcc metals was brought into question with recent {\it
ab initio} density functional studies of isolated screw dislocations in Mo and
Ta. These existing relationships were semiclassical in nature, having grown
from atomistic investigations of the deformation properties of the groups V and
VI transition metals. We find that the correct form for these
structure-property relationships is fully quantum mechanical, involving the
coupling of electronic states with the strain field at the core of long
$a/2<111>$ screw dislocations.


title: Ratchet transport of interacting particles

abstract:
  We study analytically and numerically the ratchet transport of interacting
particles induced by a monochromatic driving in asymmetric two-dimensional
structures. The ratchet flow is preserved in the limit of strong interactions
and can become even stronger compared to the non-interacting case. The
developed kinetic theory gives a good description of these two limiting
regimes. The numerical data show emergence of turbulence in the ratchet flow
under certain conditions.


title:
A Statistical Study on Solar Active Regions Producing Extremely Fast
  Coronal Mass Ejections

abstract:
  We present a statistical result on the properties of solar source regions
that have produced 57 fastest front-side coronal mass ejections (CMEs) (speed
1500 km/s) occurred from 1996 June to 2007 January. The properties of these
fast-CME-producing regions, 35 in total, are compared with those of all 1143
active regions (ARs) in the period studied. An automated method, based on
SOHO/MDI magnetic synoptic charts, is used to select and characterize the ARs.
For each AR, a set of parameters are derived including the areas (positive,
negative and total, denoted by A_P, A_N and A_T respectively), the magnetic
fluxes (positive, negative and total, F_P, F_N and F_T respectively), the
average magnetic field strength (B_avg), quasi-elongation (e) characterizing
the overall shape of the AR, the number and length of polarity inversion lines
(PILs, or neutral lines, N_PIL and L_PIL respectively), and the average and
maximum of magnetic gradient on the PILs (GOP_avg and GOP_max respectively).
Our statistical analysis shows a general trend between the scales of an AR and
the likelihood of producing a fast CME, i.e., the larger the geometric size
(A_T), the larger the magnetic flux (F_T), the stronger the magnetic field
(B_avg), and/or the more complex the magnetic configuration (N_PIL and L_PIL),
then the higher the possibility of producing a fast CME. When all ARs are
sorted into three equally-numbered groups with low, middle and high values of
these parameters, we find that, for all these AR parameters, more than 60% of
extremely fast CMEs are from the high-value group. The two PIL parameters are
the best indicators of producing fast CMEs, with more than 80% from the high
value group.


title: Multistage Entanglement Swapping

abstract:
  We report an experimental demonstration of entanglement swapping over two
quantum stages. By successful realizations of two cascaded photonic
entanglement swapping processes, entanglement is generated and distributed
between two photons, that originate from independent sources and do not share
any common past. In the experiment we use three pairs of polarization entangled
photons and conduct two Bell-state measurements (BSMs) one between the first
and second pair, and one between the second and third pair. This results in
projecting the remaining two outgoing photons from pair 1 and 3 into an
entangled state, as characterized by an entanglement witness. The experiment
represents an important step towards a full quantum repeater where multiple
entanglement swapping is a key ingredient.


title: SMA observations of Infrared Dark Clouds: A tale of two cores

abstract:
  We present high-angular resolution sub-millimeter continuum images and
molecular line spectra obtained with the SMA toward two massive cores that lie
within Infrared Dark Clouds; one actively star-forming (G034.43+00.24 MM1) and
the other more quiescent (G028.53-00.25 MM1). The high-angular resolution
sub-mm continuum image of G034.43+00.24 MM1 reveals a compact (~0.03 pc) and
massive (~29 Msun) structure while the molecular line spectrum shows emission
from numerous complex molecules. Such a rich molecular line spectrum from a
compact region indicates that G034.43+00.24 MM1 contains a hot molecular core,
an early stage in the formation of a high-mass protostar. Moreover, the
velocity structure of its 13CO(3-2) emission indicates that this B0 protostar
may be surrounded by a rotating circumstellar envelope. In contrast, the sub-mm
continuum image of G028.53-00.25 MM1 reveals three compact (<0.06 pc), massive
(9-21 Msun) condensations but with no lines detected in its spectrum. We
suggest that the core G028.53-00.25 MM1 is in a very early stage in the
high-mass star-formation process; its size and mass are sufficient to form at
least one high-mass star, yet it shows no signs of localized heating. Because
the combination of high velocity line wings with a large IR-mm bolometric
luminosity (~100 Lsun) indicates that this core has already begun to form
accreting protostars, we speculate that the condensations may be in the early
phase of accretion and may eventually become high-mass protostars. We,
therefore, have found the possible existence of two high-mass star-forming
cores; one in a very early phase of star-formation and one in the later hot
core phase. Together the properties of these two cores support the idea that
the earliest stages of high-mass star-formation occur within IRDCs.


title: Electron beam nanosculpting of suspended graphene sheets

abstract:
  We demonstrate high-resolution modification of suspended multi-layer graphene
sheets by controlled exposure to the focused electron beam of a transmission
electron microscope. We show that this technique can be used to realize, on
timescales of a few seconds, a variety of features, including nanometer-scale
pores, slits, and gaps that are stable and do not evolve over time. Despite the
extreme thinness of the suspended graphene sheets, extensive removal of
material to produce the desired feature geometries is found to not introduce
long-range distortion of the suspended sheet structure.


title:
An Improved Technique for Measurement of Cold HI in Molecular Cloud
  Cores

abstract:
  The presence of atomic gas mixed with molecular species in a "molecular"
cloud may significantly affect its chemistry, the excitation of some species,
and can serve as probe of the cloud's evolution. Cold neutral atomic hydrogen
(HI) in molecular clouds is revealed by its self absorption of background
galactic HI 21-cm emission. The properties of this gas can be investigated
quantitatively through observation of HI Narrow Self-Absorption (HINSA). In
this paper, we present a new technique for measuring atomic gas physical
parameters from HINSA observations that utilizes molecular tracers to guide the
HINSA extraction. This technique offers a significant improvement in the
precision with which HI column densities can be determined over previous
methods, and it opens several new avenues of study of relevance to the field of
star formation.


title:
A Comparative Study Between Eruptive X-class Flares Associated with
  Coronal Mass Ejections and Confined X-class Flares

abstract:
  We examine the two kinds of major energetic phenomena that occur in the solar
atmosphere: eruptive and confined events. The former describes flares with
associated coronal mass ejections (CMEs), while the latter denotes flares
without associated CMEs. We find that about 90% of X-class flares are eruptive,
but the remaining 10% are confined. To probe why the largest energy releases
could be either eruptive or confined, we investigate four X-class events from
each of the two types. Both sets of events are selected to have very similar
intensities (X1.0 to X3.6) and duration (rise time under 13 minutes and decay
time not over 9 minutes) in soft X-ray observations, to reduce any bias due to
flare size on CME occurrence. We find that the occurrence of eruption (or
confinement) is sensitive to the displacement of the location of the energy
release, defined as the distance between the flare site and the flux-weighted
magnetic center of the source active region. The displacement is 6 - 17 Mm for
confined events but as large as 22 - 37 Mm for eruptive events. This means that
confined events occur closer to the magnetic center, while the eruptive events
tend to occur close to the edge of active regions. We use the potential field
source-surface model to infer the coronal magnetic field above the source
active regions and calculate the flux ratio of low (<1.1 Rs) to high (>1.1 Rs)
corona. We find that the confined events have a lower ratio (<5.7) than the
eruptive events (>7.1). These results imply that a stronger overlying arcade
field may prevent energy releases in the low corona from being eruptive,
resulting in flares, but without CMEs.


title:
On the existence of soliton and hairy black hole solutions of su(N)
  Einstein-Yang-Mills theory with a negative cosmological constant

abstract:
  We study the existence of soliton and black hole solutions of
four-dimensional su(N) Einstein-Yang-Mills theory with a negative cosmological
constant. We prove the existence of non-trivial solutions for any integer N,
with N-1 gauge field degrees of freedom. In particular, we prove the existence
of solutions in which all the gauge field functions have no zeros. For fixed
values of the parameters (at the origin or event horizon, as applicable)
defining the soliton or black hole solutions, if the magnitude of the
cosmological constant is sufficiently large, then the gauge field functions all
have no zeros. These latter solutions are of special interest because at least
some of them will be linearly stable.


title: A Coherence-Based Approach for Tracking Waves in the Solar Corona

abstract:
  We consider the problem of automatically (and robustly) isolating and
extracting information about waves and oscillations observed in EUV image
sequences of the solar corona with a view to near real-time application to data
from the Atmospheric Imaging Array (AIA) on the Solar Dynamics Observatory
(SDO). We find that a simple coherence / travel-time based approach detects and
provides a wealth of information on transverse and longitudinal wave phenomena
in the test sequences provided by the Transition Region and Coronal Explorer
(TRACE). The results of the search are "pruned" (based on diagnostic errors) to
minimize false-detections such that the remainder provides robust measurements
of waves in the solar corona, with the calculated propagation speed allowing
automated distinction between various wave modes. In this paper we discuss the
technique, present results on the TRACE test sequences, and describe how our
method can be used to automatically process the enormous flow of data
(~1Tb/day) that will be provided by SDO/AIA after launch in late 2008.


title: Abundance of Ground States with Positive Parity

abstract:
  We investigate analytically and numerically a random-matrix model for m
fermions occupying l1 single-particle states with positive parity and l2
single-particle states with negative parity and interacting through random
two-body forces that conserve parity. The single-particle states are completely
degenerate and carry no further quantum numbers. We compare spectra of
many-body states with positive and with negative parity. We show that in the
dilute limit, ground states with positive and with negative parity occur with
equal probability. Differences in the ground-state probabilities are, thus, a
finite-size effect and are mainly due to different dimensions of the Hilbert
spaces of either parity.


title:
Strength of Coronal Mass Ejection-Driven Shocks Near the Sun, and Its
  Importance in Predicting Solar Energetic Particle Events

abstract:
  Coronal shocks are important structures, but there are no direct observations
of them in solar and space physics. The strength of shocks plays a key role in
shock-related phenomena, such as radio bursts and solar energetic particle
(SEP) generation. This paper presents an improved method of calculating Alfven
speed and shock strength near the Sun. This method is based on using as many
observations as possible, rather than one-dimensional global models. Two
events, a relatively slow CME on 2001 September 15 and a very fast CME on 2000
June 15, are selected to illustrate the calculation process. The calculation
results suggest that the slow CME drove a strong shock, with Mach number of
3.43 - 4.18, while the fast CME drove a relatively weak shock, with Mach number
of 1.90 - 3.21. This is consistent with the radio observations, which find a
stronger and longer decameter-hectometric (DH) type II radio burst during the
first event, and a short DH type II radio burst during the second event. In
particular, the alculation results explain the observational fact that the slow
CME produced a major solar energetic particle (SEP) event, while the fast CME
did not. Through a comparison of the two events, the importance of shock
strength in predicting SEP events is addressed.


title:
Quantifying the heart of darkness with GHALO - a multi-billion particle
  simulation of our galactic halo

abstract:
  We perform a series of simulations of a Galactic mass dark matter halo at
different resolutions, our largest uses over three billion particles and has a
mass resolution of 1000 M_sun. We quantify the structural properties of the
inner dark matter distribution and study how they depend on numerical
resolution. We can measure the density profile to a distance of 120 pc (0.05%
of R_vir) where the logarithmic slope is -0.8 and -1.4 at (0.5% of R_vir). We
propose a new two parameter fitting function that has a linearly varying
logarithmic density gradient which fits the GHALO and VL2 density profiles
extremely well. Convergence in the density profile and the halo shape scales as
N^(-1/3), but the shape converges at a radius three times larger at which point
the halo becomes more spherical due to numerical resolution. The six
dimensional phase-space profile is dominated by the presence of the
substructures and does not follow a power law, except in the smooth
under-resolved inner few kpc.


title:
The Palomar/Keck Adaptive Optics Survey of Young Solar Analogs: Evidence
  for a Universal Companion Mass Function

abstract:
  We present results from an adaptive optics survey for substellar and stellar
companions to Sun-like stars. The survey targeted 266 F5-K5 stars in the 3Myr
to 3Gyr age range with distances of 10-190pc. Results from the survey include
the discovery of two brown dwarf companions (HD49197B and HD203030B), 24 new
stellar binaries, and a triple system. We infer that the frequency of
0.012-0.072Msun brown dwarfs in 28-1590AU orbits around young solar analogs is
3.2% (+3.1%,-2.7%; 2sigma limits). The result demonstrates that the deficiency
of substellar companions at wide orbital separations from Sun-like stars is
less pronounced than in the radial velocity "brown dwarf desert." We infer that
the mass distribution of companions in 28-1590AU orbits around solar-mass stars
follows a continuous dN/dM_2 ~ M_2^(-0.4) relation over the 0.01-1.0Msun
secondary mass range. While this functional form is similar to that for
<0.1Msun isolated objects, over the entire 0.01-1.0Msun range the mass
functions of companions and of isolated objects differ significantly. Based on
this conclusion and on similar results from other direct imaging and radial
velocity companion surveys in the literature, we argue that the companion mass
function follows the same universal form over the entire range between 0-1590AU
in orbital semi-major axis and 0.01-20Msun in companion mass. In this context,
the relative dearth of substellar versus stellar secondaries at all orbital
separations arises naturally from the inferred form of the companion mass
function.


title:
Bound on the curvature of the Isgur-Wise function of the baryon
  semileptonic decay Lambda_b -> Lambda_c + l + nu

abstract:
  In the heavy quark limit of QCD, using the Operator Product Expansion, the
formalism of Falk for hadrons or arbitrary spin, and the non-forward amplitude,
as proposed by Uraltsev, we formulate sum rules involving the Isgur-Wise
function $\xi_{\Lambda} (w)$ of the baryon transition $\Lambda_b \to \Lambda_c
\ell \overline{\nu}_{\ell}$, where the light cloud has $j^P=0^+$ for both
initial and final baryons. We recover the lower bound for the slope
$\rho_\Lambda^2 = - \xi '_\Lambda (1) \geq 0$ obtained by Isgur et al., and we
generalize it by demonstrating that the IW function $\xi_{\Lambda} (w)$ is an
alternate series in powers of $(w-1)$, i.e. $(-1)^n \xi_{\Lambda}^{(n)} (1)
\geq 0$. Moreover, exploiting systematically the sum rules, we get an improved
lower bound for the curvature in terms of the slope, $\sigma_\Lambda^2 = \xi
"_\Lambda (1) \geq {3 \over 5} [\rho_\Lambda^2 + (\rho_\Lambda^2)^2]$. This
bound constrains the shape of the Isgur-Wise function and it will be compelling
in the analysis of future precise data on the differential rate of the baryon
semileptonic decay $\Lambda_b \to \Lambda_c \ell \overline{\nu}_{\ell}$, that
has a large measured branching ratio, of about 5%.


title:
Building an interpretable fuzzy rule base from data using Orthogonal
  Least Squares Application to a depollution problem

abstract:
  In many fields where human understanding plays a crucial role, such as
bioprocesses, the capacity of extracting knowledge from data is of critical
importance. Within this framework, fuzzy learning methods, if properly used,
can greatly help human experts. Amongst these methods, the aim of orthogonal
transformations, which have been proven to be mathematically robust, is to
build rules from a set of training data and to select the most important ones
by linear regression or rank revealing techniques. The OLS algorithm is a good
representative of those methods. However, it was originally designed so that it
only cared about numerical performance. Thus, we propose some modifications of
the original method to take interpretability into account. After recalling the
original algorithm, this paper presents the changes made to the original
method, then discusses some results obtained from benchmark problems. Finally,
the algorithm is applied to a real-world fault detection depollution problem.


title:
$\Upsilon$ decay to two-charm quark jets as a Probe of the Color Octet
  Mechanism

abstract:
  We calculate the decay rate of bottomonium to two-charm quark jets $\Upsilon
\to c \bar c$ at the tree level and one-loop level including color-singlet and
color-octet $b \bar b$ annihilations. We find that the short distance
coefficient of the color-octet piece is much larger than the color-singlet
piece, and that the QCD correction will change the endpoint behavior of the
charm quark jet. The color-singlet piece is strongly affected by the one-loop
QCD correction. In contrast, the QCD correction to the color-octet piece is
weak. Once the experiment can measure the branching ratio and energy
distribution of the two-charm quark jets in the $\Upsilon$ decay, the result
can be used to test the color octet mechanism or give a strong constraint on
the color-octet matrix elements.


title: The moderate magnetic field on the flare star Proxima Centauri

abstract:
  We report moderate magnetic flux of 450G < Bf < 750G (3sigma) on the nearby
M5.5 flare star Proxima Centauri. A high resolution UVES spectrum was used to
measure magnetic flux from Zeeman broadening in absorption lines of molecular
FeH around 1mu. The magnetic flux we find is relatively weak compared with
classical strong flare stars, but so are Proxima's flaring rates and actual
emission levels. We compare what is known about the rotation rate, Rossby
number, and activity levels in this star to relations between these quantities
that have been recently being developed more generally for M dwarfs. We
conclude that the magnetic flux is higher than the best estimates of the Rossby
number from period measurements. On the other hand, the activity levels on
Proxima Centauri are at the high end of what could be expected based on the
measured field, but not so high as to exceed the natural scatter in these
relations (other stars lie along this high envelope as well).


title: On the sign problem in dense QCD

abstract:
  We investigate the Euclidean path integral formulation of QCD at finite
baryon density and temperature. We show that the partition function Z can be
written as a difference between two sums Z+ and Z-, each of which defines a
partition function with positive weights. We call the sign problem severe if
the ratio Z-/Z+ is nonzero in the infinite volume limit. This occurs only if,
and generically always if, the associated free energy densities F+ and F- are
equal in this limit. We present strong evidence here that the sign problem is
severe at almost all points in the phase diagram, with the exception of special
cases like exactly zero chemical potential (ordinary QCD), which requires a
particular order of limits. Part of our reasoning is based on the analyticity
of free energy densities within their open phase regions. Finally, we describe
a Monte Carlo technique to simulate finite-density QCD in regions where Z-/Z+
is small.


title: Extending Recovery of the Primordial Matter Power Spectrum

abstract:
  The shape of the primordial matter power spectrum Plin(k) encodes critical
information on cosmological parameters. At large scales, the observable galaxy
power spectrum Pobs(k) is expected to follow the shape of Plin(k), but on
smaller scales the effects of nonlinearity and galaxy bias make the ratio
Pobs(k)/Plin(k) scale-dependent. We develop a method that can extend the
dynamic range of the Plin(k) recovery by incorporating constraints on the
galaxy halo occupation distribution (HOD) from the projected galaxy correlation
function wp. We devise an analytic model to calculate Pobs(k) in real-space and
redshift-space. Once HOD parameters are determined by matching wp for a given
cosmological model, galaxy bias is completely specified, and our analytic model
predicts both the shape and normalization of Pobs(k). Applying our method to
SDSS main galaxy samples, we find that the real-space Pobs(k) follows the shape
of the nonlinear matter power spectrum at the 1-2% level up to k=0.2 h/Mpc.
When we apply our method to SDSS LRG samples, the linear bias approximation is
accurate to 5% at k<0.08 h/Mpc, but the scale-dependence of LRG bias prevents
the use of linear theory at k>0.08 h/Mpc. Our HOD model prediction is in good
agreement with the recent SDSS LRG Pobs(k) measurements at all measured scales
(k<0.2 h/Mpc), naturally explaining the shape of Pobs(k). The "Q-model"
prescription is a poor description of galaxy bias for the LRG samples, and it
can lead to biased cosmological parameter estimates when measurements at k>0.1
h/Mpc are included in the analysis. We quantify the potential bias and
constraints on cosmological parameters that arise from applying linear theory
and Q-model fitting, and we demonstrate the utility of HOD modeling of future
high precision measurements of Pobs(k) on quasi-linear scales.


title:
Multiparty quantum states stabilized by the diagonal subgroup of the
  local unitary group

abstract:
  We classify, up to local unitary equivalence, the set of $n$-qubit states
that is stabilized by the diagonal subgroup of the local unitary group. We
exhibit a basis for this set, parameterized by diagrams of nonintersecting
chords connecting pairs of points on a circle, and give a criterion for when
the stabilizer is precisely the diagonal subgroup and not larger. This
investigation is part of a larger program to partially classify entanglement
type (local unitary equivalence class) via analysis of stabilizer structure.


title: Beilinson-Hodge cycles on semiabelian varieties

abstract:
  Beilinson conjectured that all rational cycles of type (q,q) on the qth
cohomology of a smooth complex algebraic variety should come from motivic
cohomology. The purpose of this note is to prove this when the variety is a
semiabelian variety or a product of curves. The proof is based on the study of
invariants under the Mumford-Tate group.


title: Abelian Zero Modes in Odd Dimensions

abstract:
  We show that the Loss-Yau zero modes of the 3d abelian Dirac operator may be
interpreted in a simple manner in terms of a stereographic projection from a 4d
Dirac operator with a constant field strength of definite helicity. This is an
alternative to the conventional viewpoint involving Hopf maps from S^3 to S^2.
Furthermore, our construction generalizes in a straightforward way to any odd
dimension. The number of zero modes is related to the Chern-Simons number in a
nonlinear manner.


title:
Pretty Fast Analysis: An embarrassingly parallel algorithm for
  biological simulation analysis

abstract:
  A parallel code has been written in FORTRAN90, C, and MPI for the analysis of
biological simulation data. Using a master/slave algorithm, the software
operates on AMBER generated trajectory data using either UNIX or MPI file IO,
and it supports up to 15 simultaneous function calls. This software has been
performance tested on the Ranger Supercomputer on trajectory data of an aqueous
bacterial reaction center micelle. Although the parallel reading is poor, the
analysis algorithm itself shows embarrassingly parallel speedup up to 1024
compute nodes. At this CPU count the overall scaling of the software compares
well NAMD's best reported speedup, and outperforms AMBER's best known scaling
by a factor of 3, while using only a small number of function calls and a short
trajectory length.


title:
Transversality of Electromagnetic Waves in the Calculus-Based
  Introductory Physics Course

abstract:
  Introductory calculus-based physics textbooks state that electromagnetic
waves are transverse and list many of their properties, but most such textbooks
do not bring forth arguments why this is so. Both physical and theoretical
arguments are at a level appropriate for students of courses based on such
books, and could be readily used by instructors of such courses. Here, we
discuss two physical arguments (based on polarization experiments and on lack
of monopole electromagnetic radiation), and the full argument for the
transversality of (plane) electromagnetic waves based on the integral Maxwell
equations. We also show, at a level appropriate for the introductory course,
why the electric and magnetic fields in a wave are in phase and the relation of
their magnitudes.


title:
The flip-side of galaxy formation: A combined model of Galaxy Formation
  and Cluster Heating

abstract:
  Only ~10% of baryons in the universe are in the form of stars, yet most
models of luminous structure formation have concentrated on the properties of
the luminous stellar matter. In this paper we focus on the "flip side" of
galaxy formation and investigate the properties of the material that is not
presently locked up in galaxies. This "by-product" of galaxy formation can be
observed as an X-ray emitting plasma (the intracluster medium, hereafter ICM)
in groups and clusters, and we present a version of the Durham semi-analytic
galaxy formation model GALFORM that allows us to investigate the properties of
the ICM. As we would expect on the basis of gravitational scaling arguments,
the previous model (presented in Bower et al. 2006) fails to reproduce even the
most basic observed properties of the ICM; however, we present a simple
modification to the model to allow for heat input into the ICM from the AGN
"radio mode" feedback. This heating acts to expel gas from the X-ray luminous
central regions of the host halo. With this modification, the model reproduces
the observed gas mass fractions and luminosity-temperature relation of groups
and clusters. Introducing the heating process into the model requires changes
to a number of model parameters in order to retain a good match to the observed
galaxy properties. With the revised parameters, the best fitting luminosity
function is comparable to that presented in Bower et al. (2006). The new model
makes a fundamental step forward, providing a unified model of galaxy and
cluster ICM formation. However, the detailed comparison with the data is not
completely satisfactory, and we highlight key areas for improvement.


title:
Nilpotent orbits in classical Lie algebras over finite fields of
  characteristic 2 and the Springer correspondence

abstract:
  Let $G$ be an adjoint algebraic group of type $B$, $C$, or $D$ over an
algebraically closed field of characteristic 2. We construct a Springer
correspondence for the Lie algebra of $G$. In particular, for orthogonal Lie
algebras in characteristic 2, the structure of component groups of nilpotent
centralizers is determined and the number of nilpotent orbits over finite
fields is obtained.


title: Moduli spaces for finite-order jets of Riemannian metrics

abstract:
  We construct the moduli space of r-jets at a point of Riemannian metrics on a
smooth manifold. The construction is closely related to the problem of
classification of jet metrics via differential invariants. The moduli space is
proved to be a differentiable space which admits a finite canonical
stratification into smooth manifolds. A complete study on the stratification of
moduli spaces is carried out for metrics in dimension n=2.


title: Representations of $asl_2$

abstract:
  We study representations of the simple Lie antialgebra $asl_2$ introduced by
Ovsienko. We show that representations of $asl_2$ are closely related to the
famous ghost Casimir element of the universal enveloping algebra $osp(1|2)$. We
prove that $asl_2$ has no non-trivial finite-dimensional representations; we
define and classify some particular infinite-dimensional representations that
we call weighted representations.


title:
Nilpotent orbits in the dual of classical Lie algebras in characteristic
  2 and the Springer correspondence

abstract:
  Let $G$ be a simply connected algebraic group of type $B,C$ or $D$ over an
algebraically closed field of characteristic 2. We construct a Springer
correspondence for the dual vector space of the Lie algebra of $G$. In
particular, we classify the nilpotent orbits in the duals of symplectic and
orthogonal Lie algebras over algebraically closed or finite fields of
characteristic 2.


title:
Variations of parameters in nucleation process under different external
  conditions

abstract:
  The nucleation process under different external conditions is considered. It
is shown that the duration of this process can be connected with the
microscopic corrections to the free energy of the critical embryo. Connection
between variations in the value of the critical embryo free energy and the
duration of the nucleation stage is given for several types of external
conditions. This connection is in some cases reciprocal to uncertainty relation
in quantum theory. In Appendix the derivation of main features of the general
theory on the base of restrictions coming from the possibility of effective and
stable observations is given.


title: A Charged Doubly Spinning Black Ring

abstract:
  This paper calculates the general form of a 5d metric when fundamental string
and momentum charges are added. This is accomplished using the standard method
of boosting and T-dualising a solution to Einstein's equations, where the
solution has three Killing vectors and is expressed in a generic form. The
thermodynamical properties of the charged solution are derived and the physical
implications of the solution are then examined with the two-charge dual
spinning black ring being used as an example.


title: Dynamical Functions of a 1D Correlated Quantum Liquid

abstract:
  We extend to initial ground states with zero spin density m = 0 the
expressions provided by the pseudofermion dynamical theory (PDT) for the
finite-energy one- and two-electron spectral-weight distributions of a
one-dimensional (1D) correlated metal with on-site particle-particle repulsion.
The spectral-function expressions derived in this paper were used in recent
successful and detailed theoretical studies of the finite-energy singular
features in photoemission of the organic compound
tetrathiafulvalene-tetracyanoquinodimethane (TTF-TCNQ) metallic phase. Our
studies take into account spectral contributions from types of microscopic
processes that do not occur for finite values of the spin density. Expressions
for the spectral functions in the vicinity of the singular border lines which
also appear in the TTF- TCNQ spectral-weight distribution are derived. In
addition, the PDT expressions are generalized for electronic densities in the
vicinity of half filling. Further details on the processes involved in the
applications to TTF-TCNQ are reported. Our results are useful for the further
understanding of the unusual spectral properties observed in low-dimensional
organic metals and also provide expressions for the one- and two-atom spectral
functions of a correlated quantum system of ultracold fermionic atoms in a 1D
optical lattice with on-site two-atom repulsion.


title: Stress induced stripe formation in Pd/W(110)

abstract:
  A stress-induced stripe phase of submonolayer Pd on W(110) is observed by
low-energy electron microscopy. The temperature dependence of the pattern is
explained by the change both in the boundary free energy and elastic relaxation
energy due to the increasing boundary width. The stripes are shown to disorder
when the correlation length of the condensed phase becomes comparable to its
period, while the condensate to lattice-gas transition takes place at a higher
temperature, as revealed by low-energy electron diffraction.


title:
Codes Associated with Orthogonal Groups and Power Moments of Kloosterman
  Sums

abstract:
  In this paper, we construct three binary linear codes $C(SO^{-}(2,q))$,
$C(O^{-}(2,q))$, $C(SO^{-}(4,q))$, respectively associated with the orthogonal
groups $SO^{-}(2,q)$, $O^{-}(2,q)$, $SO^{-}(4,q)$, with $q$ powers of two. Then
we obtain recursive formulas for the power moments of Kloosterman and
2-dimensional Kloosterman sums in terms of the frequencies of weights in the
codes. This is done via Pless power moment identity and by utilizing the
explicit expressions of Gauss sums for the orthogonal groups. We emphasize
that, when the recursive formulas for the power moments of Kloosterman sums are
compared, the present one is computationally more effective than the previous
one constructed from the special linear group $SL(2,q)$. We illustrate our
results with some examples.


title: Up-and-Down and the Percentile-Finding Problem

abstract:
  Up-and-Down (U&D) is a popular sequential design for estimating threshold
percentiles in binary experiments. However, U&D application practices have
stagnated, and significant gaps in understanding its properties persist. The
first part of my work aims to fill gaps in U&D theory. New results concerning
stationary distribution properties are proven. A second focus of this study is
nonparametric U&D estimation. An improvement to isotonic regression called
"centered isotonic regression" (CIR), and a new averaging estimator called
"auto-detect" are introduced and their properties studied. Bayesian
percentile-finding designs, most notably the continual reassessment method
(CRM) developed for Phase I clinical trials, are also studied. In general, CRM
convergence depends upon random run-time conditions -- meaning that convergence
is not always assured. Small-sample behavior is studied as well. It is shown
that CRM is quite sensitive to outlier sub-sequences of thresholds, resulting
in highly variable small-sample behavior between runs under identical
conditions. Nonparametric CRM variants exhibit a similar sensitivity. Ideas to
combine the advantages of U&D and Bayesian designs are examined. A new approach
is developed, using a hybrid framework, that evaluates the evidence for
overriding the U&D allocation with a Bayesian one.


title:
Perturbation Method for Classical Spinning Particle Motion: I. Kerr
  Space-Time

abstract:
  This paper presents an analytic perturbation approach to the dynamics of a
classical spinning particle, according to the Mathisson-Papapetrou-Dixon (MPD)
equations of motion, with a direct application to circular motion around a Kerr
black hole. The formalism is established in terms of a power series expansion
with respect to the particle's spin magnitude, where the particle's kinematic
and dynamical degrees are expressed in a completely general form that can be
constructed to infinite order in the expansion parameter. It is further shown
that the particle's squared mass and spin magnitude can shift due to a
classical analogue of radiative corrections that arise from spin-curvature
coupling. Explicit expressions are determined for the case of circular motion
near the event horizon a Kerr black hole, where the mass and spin shift
contributions are dependent on the initial conditions of the particle's spin
orientation. A preliminary analysis of the stability properties of the orbital
motion in the Kerr background due to spin-curvature interactions is explored
and briefly discussed.


title:
Perturbation Method for Classical Spinning Particle Motion: II. Vaidya
  Space-Time

abstract:
  This paper describes an application of the Mathisson-Papapetrou-Dixon (MPD)
equations in analytic perturbation form to the case of circular motion around a
radially accreting or radiating black hole described by the Vaidya metric.
Based on the formalism presented earlier, this paper explores the effects of
mass accretion or loss of the central body on the overall dynamics of the
orbiting spinning particle. This includes changes to its squared mass and spin
magnitude due to the classical analog of radiative corrections from
spin-curvature coupling. Various quantitative consequences are explored when
considering orbital motion near the black hole's event horizon. An analysis on
the orbital stability properties due to spin-curvature interactions is examined
briefly, with conclusions in general agreement with previous work performed for
the case of circular motion around a Kerr black hole.


title: The Rise of the Vulcans

abstract:
  In this introductory review presented at the IAU Symposium 253 "Transiting
Planets", I summarize the path from the initial 1995 radial-velocity discovery
of hot Jupiters to the current rich panoply of investigations that are afforded
when such objects are observed to transit their parent stars. Forty transiting
exoplanets are now known, and the time for that population to double has
dropped below one year. It is only for these objects that we have direct
estimates of their masses and radii, and for which (at the current time) we can
undertake direct studies of the chemistries and dynamics of their atmospheres.
Informed by the successes of hot Jupiter studies, I outline a path for the
spectroscopic study of certain habitable exoplanets that obviates the need for
direct imaging.


title:
Origin of the Large Perturbative Corrections to Higgs Production at
  Hadron Colliders

abstract:
  The very large K-factor for Higgs-boson production at hadron colliders is
shown to result from enhanced perturbative corrections of the form
(C_A\pi\alpha_s)^n, which arise in the analytic continuation of the gluon form
factor to time-like momentum transfer. These terms are resummed to all orders
in perturbation theory using the renormalization group. After the resummation,
the K-factor for the production of a light Higgs boson at the LHC is reduced to
a value close to 1.3.


title: Accuracy of BCS-based approximations for pairing in small Fermi systems

abstract:
  We analyze the accuracy of BCS-based approximations for calculating
correlation energies and odd-even energy differences in 2-component fermionic
systems with a small number of pairs. The analysis is focused on comparing BCS
and projected BCS treatments with the exact solution of the pairing
Hamiltonian, considering parameter ranges appropriate for nuclear pairing
energies. We find that the projected BCS is quite accurate over the entire
range of coupling strengths in spaces of up to about 20 doubly degenerate
orbitals. It is also quite accurate for two cases we considered with a more
realistic Hamiltonian, representing the nuclei around 117Sn and 207Pb. However,
the projected BCS significantly underestimates the energies for much larger
spaces when the pairing is weak.


title: Theory of the Ordered Phase in A-site Antiferromagnetic Spinels

abstract:
  Insulating spinel materials, with the chemical formula $AB_2X_4$, behave as
diamond lattice antiferromagnets when only the A-site atom is magnetic. Many
exhibit classic signatures of frustration, induced not geometrically but by
competing first and second neighbor exchange interactions. In this paper, we
further develop a theory of the magnetism of these materials, focusing on the
physics observable within the ordered state. We derive a phenomenological
Landau theory that predicts the orientation of the spins within incommensurate
spiral ordered states. It also describes how the spins reorient in a magnetic
field, and how they may undergo a low temperature "lock-in" transition to a
commensurate state. We discuss microscopic mechanisms for these magnetic
anisotropy effects. The reduction of the ordered moment by quantum fluctuations
is shown to be enhanced due to frustration. Our results are compared to
experiments on MnSc_2S_4, the best characterized of such A-site spinels, and
more general implications are discussed. One prediction is that
magnetically-induced ferroelectricity is generic in these materials, and a
detailed description of the relation of the electric polarization to the
magnetism is given.


title: A Colding-Minicozzi Stability inequality and its applications

abstract:
  We consider operators $L$ acting on functions on a Riemannian surface,
$\Sigma$, of the form $L = \Delta + V +a K.$
  Here $\Delta$ is the Laplacian of $\Sigma$, $V$ a non-negative potential on
$\Sigma$, K the Gaussian curvature and $a$ is a non-negative constant. Such
operators $L$ arise as the stability operator of $\Sigma$ immersed in a
Riemannian 3-manifold with constant mean curvature (for particular choices of
$V$ and $a$). We assume L is nonpositive acting on functions compactly
supported on $\Sigma$ and we obtain results in the spirit of some theorems of
Ficher-Colbrie-Schoen, Colding-Minicozzi, and Castillon. We extend these
theorems to $a \leq 1/4$. We obtain results on the conformal type of $\Sigma$
and a distance (to the boundary) lemma.


title: Chiral sedimentation of extended objects in viscous media

abstract:
  We study theoretically the chirality of a generic rigid object's
sedimentation in a fluid under gravity in the low Reynolds number regime. We
represent the object as a collection of small Stokes spheres or stokeslets, and
the gravitational force as a constant point force applied at an arbitrary point
of the object. For a generic configuration of stokeslets and forcing point, the
motion takes a simple form in the nearly free draining limit where the
stokeslet radius is arbitrarily small. In this case, the internal hydrodynamic
interactions between stokeslets are weak, and the object follows a helical path
while rotating at a constant angular velocity $\omega$ about a fixed axis. This
$\omega$ is independent of initial orientation, and thus constitutes a chiral
response for the object. Even though there can be no such chiral response in
the absence of hydrodynamic interactions between the stokeslets, the angular
velocity obtains a fixed, nonzero limit as the stokeslet radius approaches
zero. We characterize empirically how $\omega$ depends on the placement of the
stokeslets, concentrating on three-stokeslet objects with the external force
applied far from the stokeslets. Objects with the largest $\omega$ are aligned
along the forcing direction. In this case, the limiting $\omega$ varies as the
inverse square of the minimum distance between stokeslets. We illustrate the
prevalence of this robust chiral motion with experiments on small macroscopic
objects of arbitrary shape.


title: Properties of protostars in the Elephant Trunk globule IC 1396A

abstract:
  Extremely red objects, identified in the early Spitzer Space Telescope
observations of the bright-rimmed globule IC 1396A and photometrically
classified as Class I protostars Class II T Tauri stars based on their
mid-infrared colors, were observed spectroscopically at 5.5 to 38 microns
(IRS), at the 22 GHz water maser frequency (GBT), and in the optical (Palomar).
The sources photometrically identified as Class I are confirmed as objects
dominated by accretion luminosity from dense envelopes, with accretion rates
1e-5 to 1e-6 Msun/yr. The ice/silicate absorption ratio in the envelope is
exceptionally low for the IC 1396A protostars, compared to those in nearby
star-forming regions, suggesting the envelope chemistry is altered by the
radiation field or globule pressure. Only one 22 GHz water maser was detected
in IC 1396A; its infrared counterpart has luminosity <0.1 Lsun, the first H2O
maser from such a low-luminosity object. The objects photometrically classified
as Class II are confirmed as classical T Tauri stars with warm, luminous disks.
The disk properties change significantly with source luminosity: low-mass (G-K)
stars have prominent 9-11 micron emission features due to amorphous silicates
while higher-mass (A-F) stars have weaker features requiring abundant
crystalline silicates. The distribution of Class I sources is concentrated
within the molecular globule, while the Class II sources are more widely
scattered. Combined with the spectral results, this suggests two phases of star
formation, the first (4 Myr ago) leading to the widespread Class II sources and
the central O star of IC 1396, and the second (<1 Myr ago) occurring within the
globule.


title:
Microlensing Zone of Planets Detectable through the Channel of
  High-Magnification Events

abstract:
  A microlensing lensing zone refers to the range of planet-star separations
where the probability of detecting a planetary signal is high. Its conventional
definition as the range between $\sim 0.6$ and 1.6 Einstein radii of the
primary lens is based on the criterion that a major caustic induced by a planet
should be located within the Einstein ring of the primary. However, current
planetary lensing searches focus on high-magnification events to detect
perturbations induced by another caustic located always within the Einstein
ring very close to the primary lens (stellar caustic) and thus a new definition
of a lensing zone is needed. In this paper, we determine this lensing zone. By
applying a criterion that detectable planets should produce signals $\geq 5%$,
we find that the new lensing zone varies depending on the planet/star mass
ratio unlike the fixed range of the classical zone regardless of the mass
ratio. The lensing zone is equivalent to the classical zone for a planet with a
planet/star mass ratio $q\sim 3\times 10^{-4}$ and it becomes wider for heavier
planets. For a Jupiter-mass planet, the lensing zone ranges from 0.25 to 3.9
Einstein radii, corresponding to a physical range between $\sim 0.5$ AU and 7.4
AU for a typical Galactic event. The wider lensing zone of central
perturbations for giant planets implies that the microlensing method provides
an important tool to detect planetary systems composed of multiple ice-giant
planets.


title: Phase Coherence Effects in the Vortex Transport Entropy

abstract:
  Nernst and electrical resistivity measurements in superconducting YBCO and
BSCCO with and without columnar defects show a distinctive thermodynamics of
the respective liquid vortex matter. At a field dependent high temperature
region in the phase diagram the Nernst signal is independent of structural
defects in both materials. At lower temperatures, in YBCO, defects contribute
only to the vortex mobility and the transport entropy is that of a system of
vortex lines. The transition to lower temperatures in BSCCO has a different
origin, the maximum in the Nernst signal when decreasing temperature is not
associated with transport properties but with the entropy behavior of pancake
vortices in the presence of structural defects.


title:
Scanning tunneling spectroscopic evidence for magnetic field-induced
  microscopic orders in the high-$T_c$ superconductor
  YBa$_2$Cu$_3$O$_{7-\delta}$

abstract:
  We report spatially resolved tunneling spectroscopic evidence for
field-induced microscopic orders in a high-$T_c$ superconductor $\rm
YBa_2Cu_3O_{7-\delta}$. The spectral characteristics inside vortices reveal a
pseudogap ($V_{\rm CO}$) larger than the superconducting gap ($\Delta\_{\rm
SC}$) as well as a subgap ($\Delta\^{\prime}$) smaller than $\Delta\_{\rm SC}$,
and the spectral weight shifts steadily from $\Delta_{\rm SC}$ to $V_{\rm CO}$
and $\Delta\^{\prime}$ upon increasing magnetic field. Additionally,
energy-independent conductance modulations at 3.6 and 7.1 lattice constants
along the Cu-O bonding directions and at 9.5 lattice constants along the nodal
directions are manifested in the vortex state. These wave-vectors differ
fundamentally from the strongly dispersive modes due to Bogoliubov
quasiparticle scattering interferences and may be associated with field-induced
microscopic orders of pair-, charge- and spin-density waves.


title: Optimal prediction in molecular dynamics

abstract:
  Optimal prediction approximates the average solution of a large system of
ordinary differential equations by a smaller system. We present how optimal
prediction can be applied to a typical problem in the field of molecular
dynamics, in order to reduce the number of particles to be tracked in the
computations. We consider a model problem, which describes a surface coating
process, and show how asymptotic methods can be employed to approximate the
high dimensional conditional expectations, which arise in optimal prediction.
The thus derived smaller system is compared to the original system in terms of
statistical quantities, such as diffusion constants. The comparison is carried
out by Monte-Carlo simulations, and it is shown under which conditions optimal
prediction yields a valid approximation to the original system.


title:
Precise predictions for the Higgs production in association with a
  W-boson pair at ILC

abstract:
  The Higgs-boson production in association with a W-boson pair at $e^+e^-$
linear colliders is one of the important processes in probing the coupling
between Higgs-boson and vector gauge bosons and discovering the signature of
new physics. We describe the impact of the complete electroweak(EW) radiative
corrections of ${\cal O}(\alpha_{ew})$ to this process in the standard
model(SM) at the International Linear Collider(ILC), and investigate the
dependence of the lowest-order(LO) and EW next-to-leading order(NLO) corrected
cross sections on colliding energy $\sqrt{s}$ and Higg-boson mass. The LO and
NLO EW corrected distributions of the invariant mass of W-boson pair and the
transverse momenta of final $W$- and Higgs-boson are presented. Our numerical
results show that the relative EW radiative correction($\delta_{ew}$) varies
from -19.4% to 0.2% when $m_H=120 GeV$ and $\sqrt{s}$ goes up from $300 GeV$ to
$1.2 TeV$.


title:
Data Mining Using High Performance Data Clouds: Experimental Studies
  Using Sector and Sphere

abstract:
  We describe the design and implementation of a high performance cloud that we
have used to archive, analyze and mine large distributed data sets. By a cloud,
we mean an infrastructure that provides resources and/or services over the
Internet. A storage cloud provides storage services, while a compute cloud
provides compute services. We describe the design of the Sector storage cloud
and how it provides the storage services required by the Sphere compute cloud.
We also describe the programming paradigm supported by the Sphere compute
cloud. Sector and Sphere are designed for analyzing large data sets using
computer clusters connected with wide area high performance networks (for
example, 10+ Gb/s). We describe a distributed data mining application that we
have developed using Sector and Sphere. Finally, we describe some experimental
studies comparing Sector/Sphere to Hadoop.


title: Non-structure in lambda^{++} using instances of WGCH

abstract:
  We try to redo, improve and continue the non-structure parts in some works on
a.e.c., which uses weak diamond, in lambda^+ and lambda^{++} getting better and
more results and do what is necessary for the book on a.e.c. Comparing with
math.LO/9805146 we make the context closer to the examples, hence hopefully
improve transparency, though losing some generality. Toward this we work also
on the positive theory, i.e. structure side of "low frameworks" like almost
good lambda-frames.


title:
On the concentration and the convergence rate with a moment condition in
  first passage percolation

abstract:
  We consider the first passage percolation model on the ${\bf Z}^d$ lattice.
In this model, we assign independently to each edge $e$ a non-negative passage
time $t(e)$ with a common distribution $F$. Let $a_{0,n}$ be the passage time
from the origin to $(n,0,..., 0)$. Under the exponential tail assumption,
  Kesten (1993) and Talagrand (1995) investigated the concentration of
$a_{0,n}$ from its mean using different methods. With this concentration and
the exponential tail assumption, Alexander gave an estimate for the convergence
rate for ${\bf E} a_{0,n}$. In this paper, focusing on a moment condition, we
reinvestigate the concentration and the convergence rate for $a_{0,n}$ using a
special martingale structure.


title:
AKARI IRC survey of the Large Magellanic Cloud: Outline of the survey
  and initial results

abstract:
  We observed an area of 10 deg^2 of the Large Magellanic Cloud using the
Infrared Camera on board AKARI. The observations were carried out using five
imaging filters (3, 7, 11, 15, and 24 micron) and a dispersion prism (2 -- 5
micron, $\lambda / \Delta\lambda$ $\sim$ 20) equipped in the IRC. This paper
describes the outline of our survey project and presents some initial results
using the imaging data that detected over 5.9x10^5 near-infrared and 6.4x10^4
mid-infrared point sources. The 10 $\sigma$ detection limits of our survey are
about 16.5, 14.0, 12.3, 10.8, and 9.2 in Vega-magnitude at 3, 7, 11, 15, and 24
micron, respectively. The 11 and 15 micron data, which are unique to AKARI IRC,
allow us to construct color-magnitude diagrams that are useful to identify
stars with circumstellar dust. We found a new sequence in the color-magnitude
diagram, which is attributed to red giants with luminosity fainter than that of
the tip of the first red giant branch. We suggest that this sequence is likely
to be related to the broad emission feature of aluminium oxide at 11.5 micron.
The 11 and 15 micron data also indicate that the ([11] - [15]) micron color of
both oxygen-rich and carbon-rich red giants once becomes blue and then turns
red again in the course of their evolution, probably due to the change in the
flux ratio of the silicate or silicon carbide emission feature at 10 or 11.3
micron to the 15 micron flux.


title: Categoricity and solvability of A.E.C., quite highly

abstract:
  We investigate in ZFC what can be the family of large enough cardinals mu in
which an a.e.c. K is categorical or even just solvable. We show that for not
few cardinals lambda<mu there is a superlimit model in K_lambda. Moreover, our
main result is that we can find a good lambda-frame s categorical in lambda
such that K_s subseteq K_lambda. We then show how to use [Sh:705] to get
categoricity in every large enough cardinality if K has cases of
mu-amalgamation for enough mu and 2^mu<2^{mu^{+1}} <... < 2^{mu^{+n}}... for
enough mu.


title:
A Toy Model for Topology Change Transitions: Role of Curvature
  Corrections

abstract:
  We consider properties of near-critical solutions describing a test static
axisymmetric D-dimensional brane interacting with a bulk N-dimensional black
hole (N>D). We focus our attention on the effects connected with curvature
corrections to the brane action. Namely, we demonstrate that the second order
phase transition in such a system is modified and becomes first order. We
discuss possible consequences of these results for merger transitions between
caged black holes and black strings.


title: Color-Inclination Relation of the Classical Kuiper Belt Objects

abstract:
  We re-examine the correlation between the colors and the inclinations of the
Classical Kuiper Belt Objects (CKBOs) with an enlarged sample of optical
measurements. The correlation is strong (rho=-0.7) and highly significant (>8
sigma) in the range 0-34 deg. Nonetheless, the optical colors are independent
of inclination below ~12 deg, showing no evidence for a break at the reported
boundary between the so-called dynamically "hot" and "cold" populations near ~5
deg. The commonly accepted parity between the dynamically cold CKBOs and the
red CKBOs is observationally unsubstantiated, since the group of red CKBOs
extends to higher inclinations. Our data suggest, however, the existence of a
different color break. We find that the functional form of the
color-inclination relation is most satisfactorily described by a non-linear and
stepwise behavior with a color break at ~12 deg. Objects with inclinations >12
deg show bluish colors which are either weakly correlated with inclination or
are simply homogeneously blue, whereas objects with inclinations <12 deg are
homogeneously red.


title: Difference in Narrow Emission Line Spectra of Seyfert 1 and 2 galaxies

abstract:
  In the unification scheme of Seyfert galaxies, a dusty torus blocks the
continuum source and broad line region in Seyfert 2 galaxies. However it is not
clear whether or not and to what extent the torus affects the narrow line
spectra. In this paper, we show that Seyfert 1 and Seyfert 2 galaxies have
different distributions on the [OIII]/H$\beta $ vs [NII]/H$\alpha$ diagram (BPT
diagram) for narrow lines. Seyfert 2 galaxies display a clear left boundary on
the BPT diagram and only 7.3% of them lie on the left. By contrast, Seyfert 1
galaxies do not show such a cutoff and 33.0% of them stand on the left side of
the boundary. Among Seyfert 1 galaxies, the distribution varies with the
extinction to broad lines. As the extinction increases, the distribution on BPT
diagram moves to larger [NII]/H$\alpha$ value. We interpret this as an evidence
for the obscuration of inner dense narrow line region by the dusty torus. We
also demonstrate that the [OIII] and broad line luminosity correlation depends
on the extinction of broad lines in the way that high extinction objects have
lower uncorrected [OIII] luminosities, suggesting that [OIII] is partially
obscured in these objects. Therefore, using [OIII] as an indicator for the
nuclear luminosity will systematically under-estimate the nuclear luminosity of
Seyfert 2 galaxies.


title: Quantum computation with the Jaynes-Cummings model

abstract:
  In this paper, we propose a method for building a two-qubit gate with the
Jaynes-Cummings model (JCM). In our scheme, we construct a qubit from a pair of
optical paths where a photon is running. Generating Knill, Laflamme and
Milburn's nonlinear sign-shift gate by the JCM, we construct the conditional
sign-flip gate, which works with small error probability in principle. We also
discuss two experimental setups for realizing our scheme. In the first
experimental setup, we make use of coherent lights to examine whether or not
our scheme works. In the second experimental setup, an optical loop circuit
made out of the polarizing beam splitter and the Pockels cell takes an
important role in the cavity.


title:
Nonautonomous Hamiltonian Systems and Morales-Ramis Theory I. The Case
  $\ddot{x}=f(x,t)$

abstract:
  In this paper we present an approach towards the comprehensive analysis of
the non-integrability of differential equations in the form $\ddot x=f(x,t)$
which is analogous to Hamiltonian systems with 1+1/2 degree of freedom. In
particular, we analyze the non-integrability of some important families of
differential equations such as Painlev\'e II, Sitnikov and Hill-Schr\"odinger
equation.
  We emphasize in Painlev\'e II, showing its non-integrability through three
different Hamiltonian systems, and also in Sitnikov in which two different
version including numerical results are shown. The main tool to study the
non-integrability of these kind of Hamiltonian systems is Morales-Ramis theory.
This paper is a very slight improvement of the talk with the almost-same title
delivered by the author in SIAM Conference on Applications of Dynamical Systems
2007.


title: Twisted cyclic theory, equivariant KK theory and KMS States

abstract:
  Recently, examples of an index theory for KMS states of circle actions were
discovered, \cite{CPR2,CRT}. We show that these examples are not isolated.
Rather there is a general framework in which we use KMS states for circle
actions on a C*-algebra A to construct Kasparov modules and semifinite spectral
triples. By using a residue construction analogous to that used in the
semifinite local index formula we associate to these triples a twisted cyclic
cocycle on a dense subalgebra of A. This cocycle pairs with the equivariant
KK-theory of the mapping cone algebra for the inclusion of the fixed point
algebra of the circle action in A. The pairing is expressed in terms of
spectral flow between a pair of unbounded self adjoint operators that are
Fredholm in the semifinite sense. A novel aspect of our work is the discovery
of an eta cocycle that forms a part of our twisted residue cocycle. To
illustrate our theorems we observe firstly that they incorporate the results in
\cite{CPR2,CRT} as special cases. Next we use the Araki-Woods III_\lambda
representations of the Fermion algebra to show that there are examples which
are not Cuntz-Krieger systems.


title: Free Solution Electrophoresis of Homopolyelectrolytes

abstract:
  We investigate the behavior of single polyelectrolytes in multivalent salt
solutions under the action of electric fields through computer simulations. The
chain is unfolded in a strong electric field and aligned parallel to the field
direction, and the chain size shows a sigmoidal transition. The unfolding
electric field $E^*$ depends on the salt concentration and scales as $V^{-1/2}$
with $V$ being the ellipsoidal volume occupied by the chain. The magnitude of
the electrophoretic mobility of chain drastically increases during the
unfolding. The fact that $E^*$ depends on the chain length provides a plausible
mechanism to separate long charged homopolymers by size in free solution
electrophoresis via the unfolding transition of globule polyelectrolytes
condensed by multivalent salt.


title:
Specific features of the effect of time dependent field on subdiffusing
  particles. The stochastic Liouville equation approach

abstract:
  We analyze the effect of time dependent external field on non-Markovian
migration described by the continuous time random walk (CTRW) approach. The
rigorous method of treating the problem is proposed which is based on the
Markovian representations of the CTRW approach and field modulation. The method
is applied to the case of subdiffusive migration in which the exact formulas
for the first and second moments of spatial distribution are derived. For
oscillating external field they predict unusual dependence of the first moment
on oscillation phase and anomalous field dependent contribution to


title: Electron Tunneling in Monolayer and Bilayer Graphene

abstract:
  Electron's tunneling through potential barrier in monolayer and bilayer
graphene lattices is investigated by using full tight-binding model. Emphasis
is placed on the resonance tunneling feature and inter-valley scattering
probability. It is shown that normal incidence transmission probabilities for
monolayer and bilayer graphene exhibit different properties. Our calculation
indicates that valleytronics in graphene systems may be detected, generated and
controlled by changing the structure parameters of the external electric
potential.


title: Skew-product representations of multidimensional Dunkl Markov processes

abstract:
  In this paper we obtain skew-product representations of the multidimensional
Dunkl processes which generalize the skew-product decomposition in dimension 1
obtained in L. Gallardo and M. Yor. Some remarkable properties of the Dunkl
martingales. S\'{e}minaire de Probabilit\'{e}s XXXIX, 2006. We also study the
radial part of the Dunkl process, i.e. the projection of the Dunkl process on a
Weyl chamber.


title:
Detecting quantum-coherent nanomechanical oscillations using the
  current-noise spectrum of a double quantum dot

abstract:
  We consider a nanomechanical resonator coupled to a double quantum dot. We
demonstrate how the finite-frequency current noise spectrum through the double
quantum dot can be used to distinguish classical and quantum behaviour in the
nearby nano-electromechanical resonator. We also show how the full frequency
current noise spectrum gives important information on the combined double
quantum dot-resonator energy spectrum. Finally, we point out regimes where the
quantum state of the resonator becomes squeezed, and also examine the
cross-correlated electron-phonon current noise.


title:
Exponential Lower Bounds for Quasimodes of Semiclassical Schr\"{o}dinger
  Operators

abstract:
  We prove quantitative unique continuation results for the semiclassical
Schrodinger operator on smooth, compact domains. These take the form of
exponentially decreasing (in h) local L^{2} lower bounds for exponentially
precise quasimodes. We also show that these lower bounds are sharp in h, and
that, moreover, the hypothesized quasimode accuracy is also sharp.


title: A New Type of Plasma Wakefield Accelerator Driven by Magnetowaves

abstract:
  We present a new concept for a plasma wakefield accelerator driven by
magnetowaves (MPWA). This concept was originally proposed as a viable mechanism
for the "cosmic accelerator" that would accelerate cosmic particles to ultra
high energies in the astrophysical setting. Unlike the more familiar Plasma
Wakefield Accelerator (PWFA) and the Laser Wakefield Accelerator (LWFA) where
the drivers, the charged-particle beam and the laser, are independently
existing entities, MPWA invokes the high-frequency and high-speed whistler mode
as the driver, which is a medium wave that cannot exist outside of the plasma.
Aside from the difference in drivers, the underlying mechanism that excites the
plasma wakefield via the ponderomotive potential is common. Our computer
simulations show that under appropriate conditions, the plasma wakefield
maintains very high coherence and can sustain high-gradient acceleration over
many plasma wavelengths. We suggest that in addition to its celestial
application, the MPWA concept can also be of terrestrial utility. A
proof-of-principle experiment on MPWA would benefit both terrestrial and
celestial accelerator concepts.