title: Chemical Complexity in Galaxies

abstract:
  ALMA will be able to detect a broad spectrum of molecular lines in galaxies.
Current aperture synthesis observations indicate that the molecular line
emission from galaxies is remarkably variable, even on kpc scales. Imaging
spectroscopy at resolutions of an arcsecond or better will reduce the chemical
complexity by allowing regions of physical conditions to be defined and
classified.


title: Discovery of Two Dust Pillars near the Galactic Plane

abstract:
  We report the discovery of two dust pillars using GLIMPSE archival images
obtained with the Infrared Array Camera on board the Spitzer Space Telescope.
They are located close to the Galactic molecular cloud GRSMC45.453+0.060 and
they appear to be aligned with the ionizing region associated with
GRSMC45.478+0.131. Our three colour mosaics show that these stellar incubators
present different morphologies as seen from planet Earth. One of them shows the
unquestionable existence of young stellar objects in its head, whose influence
on the original cocoon is evident, while the other presents a well defined
bright-rimmed ionizing front. We argue that second-generation star formation
has been triggered in these protuberances by the action of massive stars
present in the nearby H II regions.


title: Using gamma-rays to probe the clumped structure of stellar winds

abstract:
  Gamma-rays can be produced by the interaction of a relativistic jet and the
matter of the stellar wind in the subclass of massive X-ray binaries known as
"microquasars". The relativistic jet is ejected from the surroundings of the
compact object and interacts with cold protons from the stellar wind, producing
pions that then quickly decay into gamma-rays. Since the resulting gamma-ray
emissivity depends on the target density, the detection of rapid variability in
microquasars with GLAST and the new generation of Cherenkov imaging arrays
could be used to probe the clumped structure of the stellar wind. In
particular, we show here that the relative fluctuation in gamma rays may scale
with the square root of the ratio of porosity length to binary separation,
\sqrt{h/a}, implying for example a ca. 10 % variation in gamma ray emission for
a quite moderate porosity, h/a ~ 0.01.


title:
Limitations on the extent of off-center displacements in TbMnO3 from
  EXAFS measurements

abstract:
  We present EXAFS data at the Mn K and Tb L3 edges that provide upper limits
on the possible displacements of any atoms in TbMnO3. The displacements must be
less than 0.005-0.01A for all atoms which eliminates the possibility of
moderate distortions (0.02A) with a small c-axis component, but for which the
displacements in the ab plane average to zero. Assuming the polarization arises
from a displacement of the O2 atoms along the c-axis, the measured polarization
then leads to an O2 displacement that is at least 6X10^{-4}A, well below our
experimental limit. Thus a combination of the EXAFS and the measured electrical
polarization indicate that the atomic displacements likely lie in the range
6X10^{-4} - 5X10^{-3}A.


title: A Data-Parallel Version of Aleph

abstract:
  This is to present work on modifying the Aleph ILP system so that it
evaluates the hypothesised clauses in parallel by distributing the data-set
among the nodes of a parallel or distributed machine. The paper briefly
discusses MPI, the interface used to access message- passing libraries for
parallel computers and clusters. It then proceeds to describe an extension of
YAP Prolog with an MPI interface and an implementation of data-parallel clause
evaluation for Aleph through this interface. The paper concludes by testing the
data-parallel Aleph on artificially constructed data-sets.


title: Rankin-Cohen Deformations and Representation Theory

abstract:
  In this paper, we use the unitary representation theory of $SL_2(\mathbb R)$
to understand the Rankin-Cohen brackets for modular forms. Then we use this
interpretation to study the corresponding deformation problems that Paula
Cohen, Yuri Manin and Don Zagier initiated. Two uniqueness results are
established.


title: Resolution over Linear Equations and Multilinear Proofs

abstract:
  We develop and study the complexity of propositional proof systems of varying
strength extending resolution by allowing it to operate with disjunctions of
linear equations instead of clauses. We demonstrate polynomial-size refutations
for hard tautologies like the pigeonhole principle, Tseitin graph tautologies
and the clique-coloring tautologies in these proof systems. Using the
(monotone) interpolation by a communication game technique we establish an
exponential-size lower bound on refutations in a certain, considerably strong,
fragment of resolution over linear equations, as well as a general polynomial
upper bound on (non-monotone) interpolants in this fragment.
  We then apply these results to extend and improve previous results on
multilinear proofs (over fields of characteristic 0), as studied in
[RazTzameret06]. Specifically, we show the following:
  1. Proofs operating with depth-3 multilinear formulas polynomially simulate a
certain, considerably strong, fragment of resolution over linear equations.
  2. Proofs operating with depth-3 multilinear formulas admit polynomial-size
refutations of the pigeonhole principle and Tseitin graph tautologies. The
former improve over a previous result that established small multilinear proofs
only for the \emph{functional} pigeonhole principle. The latter are different
than previous proofs, and apply to multilinear proofs of Tseitin mod p graph
tautologies over any field of characteristic 0.
  We conclude by connecting resolution over linear equations with extensions of
the cutting planes proof system.


title: Nontrivial quantized Berry phases for itinerant spin liquids

abstract:
  Quantized Berry phases as local order parameters in t-J models are studied. A
texture pattern of the local order parameters is topologically stable due to
the quantization of non-Abelian Berry phases defined by low-energy states below
a spin gap, which exists in the large J/t case with a few electrons. We have
confirmed that itinerant singlets in the wide class of t-J models carry the
nontrivial Berry phase pi. In the large J/t case for the one-dimensional t-J
model, Berry phases are uniformly pi when the number of electrons is N =4n +2,
($n=0,1,2,...$).


title: "Unusual" critical states in type-II superconductors

abstract:
  We give a theoretical description of the general critical states in which the
critical currents in type-II superconductors are not perpendicular to the local
magnetic induction. Such states frequently occur in real situations, e.g., when
the sample shape is not sufficiently symmetric or the direction of the external
magnetic field changes in some complex way. Our study is restricted to the
states in which flux-line cutting does not occur. The properties of such
general critical states can essentially differ from the well-known properties
of the usual Bean critical states. To illustrate our approach, we analyze
several examples. In particular, we consider the critical states in a slab
placed in a uniform perpendicular magnetic field and to which two components of
the in-plane magnetic field are then applied successively. We also analyze the
critical states in a long thin strip placed in a perpendicular magnetic field
which then is tilted towards the axis of the strip.


title:
Surface plasmon polaritons assisted diffraction in periodic
  subwavelength holes of metal films with reduced interplane coupling

abstract:
  Metal films grown on Si wafer perforated with a periodic array of
subwavelength holes have been fabricated and anomalous enhanced transmission in
the mid-infrared regime has been observed. High order transmission peaks up to
Si(2,2) are clearly revealed due to the large dielectric constant contrast of
the dielectrics at the opposite interfaces. Si(1,1) peak splits at oblique
incidence both in TE and TM polarization, which confirms that anomalous
enhanced transmission is a surface plasmon polaritons (SPPs) assisted
diffraction phenomenon. Theoretical transmission spectra agree excellently with
the experimental results and confirm the role of SPPs diffraction by the
lattice.


title:
Magnetic fields and gas in the cluster influenced spiral galaxy NGC4254
  - I. Radio and X-rays observations

abstract:
  Radio observations can show how cluster galaxies are affected by various
environmental factors. We made three frequency radio-polarimetric VLA
observations and performed sensitive XMM-Newton observations in X-rays and UV
light of NGC4254. The distribution of total radio intensity at 8.46 4.86 GHz
reveals a global asymmetry with a more diffuse and almost two times larger
extension to the north than to the south. The radio polarized intensity is even
more asymmetric, showing a strange bright ridge in the southern disk edge,
displaced to the downstream side of the local density wave. Magnetic arms can
be also seen in other disk portions, mostly avoiding nearby optical spiral
arms. Spatially resolved emission of hot X-ray gas from the whole galactic
disk, with its soft component closely tracing star-forming regions, is
detected. The slope of the local radio nonthermal-infrared relation is <1, thus
smaller than for the radio thermal-infrared one (>1). Using the radio thermal
emission-based star formation rate (SFR) we find higher extinction in more
Halpha luminous star-forming regions with a power-law slope of 0.83. The
galaxy's estimated mean SFR of 0.026 M_sun/yr/kpc^2 is three times larger than
in other spirals of similar Hubble type. NGC4254 seems to belong to the class
of `young' Virgo cluster members, which recently experienced a gravitational
encounter at the cluster's periphery, which perturbed its spiral arms by tidal
forces and triggered a burst of star-formation which still maintains strong
radio and infrared emissions. Tidal forces could also sheared the magnetic
field in the southern disk portion and led to the observed polarized ridge,
though, magnetic field compression by weak ram pressure forces of the cluster
gas cannot be excluded.


title:
Measurement of branching fraction and CP asymmetries in B->D0(cp)K
  decays

abstract:
  We present a preliminary study of $B^- \to D^0_{CP} \pi^-$ and $B^- \to
D^0_{CP} K^-$ decays, with the $D^0_{CP}$ reconstructed in the CP-odd
eigenstates $K_s \pi^0$, $K_s \omega$, in the CP-even eigenstates $K^+ K^-$,
$\pi^+ \pi^-$, and in the (non-CP) flavor eigenstate $K^\mp \pi^\pm$. Using a
sample of about 382 million Y(4S) decays into BBbar pairs, collected with the
BABAR detector operating at the PEP-II asymmetric-energy B Factory at SLAC, we
measure the ratios of the branching fractions R_CP+- and the direct CP
asymmetries A_CP+-. The results are:
  R_CP- = 0.81 \pm 0.10 (stat) \pm 0.05 (syst)
  R_CP+ = 1.07 \pm 0.10 (stat) \pm 0.04 (syst)
  A_CP- = -0.19 \pm 0.12 (stat) \pm 0.02 (syst)
  A_CP+ = 0.35 \pm 0.09 (stat) \pm 0.05 (syst)


title: Three-Nucleon Scattering at Intermediate Energies

abstract:
  By means of a technique, which does not employ partial wave (PW)
decompositions, the nucleon-deuteron break-up process is evaluated in the
Faddeev scheme, where only the leading order term of the amplitude is
considered. This technique is then applied to calculate the semi-exclusive
proton-deuteron break-up reaction d(p,n)pp for proton laboratory energies Elab
of a few hundred MeV. A comparison with PW calculations is performed at 197 MeV
projectile energy. At the same energy rescattering processes, which are not
included in the 3D calculations yet, are shown to be still important in the
full Faddeev PW calculations, especially for the cross section and the
analyzing power Ay. Next, kinematical relativistic effects are investigated for
projectile energies up to about 500 MeV. At the higher energies, those
relativistic effects start not to be negligible, especially in the peak of the
cross section.


title:
Physics and Commonsense - Reassessing the connection in the light of
  quantum theory

abstract:
  Scientific realism in classical (i.e. pre-quantum) physics has remained
compatible with the naive realism of everyday thinking on the whole; whereas it
has proven impossible to find any consistent way to visualize the world
underlying quantum theory in terms of our pictures in the everyday world. The
general conclusion is that in quantum theory naive realism, although necessary
at the level of observations, fails at the microscopic level. In this paper I
offer a counter view that what fails in quantum theory is naive realism at the
level of observations itself.


title: Conformally symmetric traversable wormholes

abstract:
  Exact solutions of traversable wormholes are found under the assumption of
spherical symmetry and the existence of a {\it non-static} conformal symmetry,
which presents a more systematic approach in searching for exact wormhole
solutions. In this work, a wide variety of solutions are deduced by considering
choices for the form function, a specific linear equation of state relating the
energy density and the pressure anisotropy, and various phantom wormhole
geometries are explored. A large class of solutions impose that the spatial
distribution of the exotic matter is restricted to the throat neighborhood,
with a cut-off of the stress-energy tensor at a finite junction interface,
although asymptotically flat exact solutions are also found. Using the ``volume
integral quantifier,'' it is found that the conformally symmetric phantom
wormhole geometries may, in principle, be constructed by infinitesimally small
amounts of averaged null energy condition violating matter. Considering the
tidal acceleration traversability conditions for the phantom wormhole geometry,
specific wormhole dimensions and the traversal velocity are also deduced.


title: Entropy of complex relevant components of Boolean networks

abstract:
  Boolean network models of strongly connected modules are capable of capturing
the high regulatory complexity of many biological gene regulatory circuits. We
study numerically the previously introduced basin entropy, a parameter for the
dynamical uncertainty or information storage capacity of a network as well as
the average transient time in random relevant components as a function of their
connectivity. We also demonstrate that basin entropy can be estimated from
time-series data and is therefore also applicable to non-deterministic networks
models.


title: The Structure of Classical Extensions of Quantum Probability Theory

abstract:
  On the basis of a suggestive definition of a classical extension of quantum
mechanics in terms of statistical models, we prove that every such classical
extension is essentially given by the so-called Misra-Bugajski reduction map.
We consider how this map enables one to understand quantum mechanics as a
reduced classical statistical theory on the projective Hilbert space as phase
space and discuss features of the induced hidden-variables model. Moreover,
some relevant technical results on the topology and Borel structure of the
projective Hilbert space are reviewed.


title:
Optimal bounded-error strategies for projective measurements in
  non-orthogonal state discrimination

abstract:
  Research in non-orthogonal state discrimination has given rise to two
conventional optimal strategies: unambiguous discrimination (UD) and minimum
error (ME) discrimination. This paper explores the experimentally relevant
range of measurement strategies between the two, where the rate of inconclusive
results is minimized for a bounded-error rate. We first provide some
constraints on the problem that apply to generalized measurements (POVMs). We
then provide the theory for the optimal projective measurement (PVM) in this
range. Through analytical and numerical results we investigate this family of
projective, bounded-error strategies and compare it to the POVM family as well
as to experimental implementation of UD using POVMs. We also discuss a possible
application of these bounded-error strategies to quantum key distribution.


title: Energy Spectra for Fractional Quantum Hall States

abstract:
  Fractional quantum Hall states (FQHS) with the filling factor nu = p/q of q <
21 are examined and their energies are calculated. The classical Coulomb energy
is evaluated among many electrons; that energy is linearly dependent on 1/nu.
The residual binding energies are also evaluated. The electron pair in nearest
Landau-orbitals is more affected via Coulomb transition than an electron pair
in non-nearest orbitals. Each nearest electron pair can transfer to some empty
orbital pair, but it cannot transfer to the other empty orbital pair because of
conservation of momentum. Counting the numbers of the allowed and forbidden
transitions, the binding energies are evaluated for filling factors of 126
fraction numbers. Gathering the classical Coulomb energy and the pair
transition energy, we obtain the spectrum of energy versus nu. This energy
spectrum elucidates the precise confinement of Hall resistance at specific
fractional filling factors.


title: Predictability of extreme events in a branching diffusion model

abstract:
  We propose a framework for studying predictability of extreme events in
complex systems. Major conceptual elements -- direct cascading or
fragmentation, spatial dynamics, and external driving -- are combined in a
classical age-dependent multi-type branching diffusion process with
immigration. A complete analytic description of the size- and space-dependent
distributions of particles is derived. We then formulate an extreme event
prediction problem and determine characteristic patterns of the system behavior
as an extreme event approaches. In particlular, our results imply specific
premonitory deviations from self-similarity, which have been heuristically
observed in real-world and modeled complex systems. Our results suggest a
simple universal mechanism of such premonitory patterns and natural framework
for their analytic study.


title: Dipole excitation and geometry of borromean nuclei

abstract:
  We analyze the Coulomb breakup cross sections of $^{11}$Li and $^6$He nuclei
using a three-body model with a density-dependent contact interaction. We show
that the concentration of the B(E1) strength near the threshold can be well
reproduced with this model. With the help of the calculated B(E1) value, we
extract the root-mean-square (rms) distance between the core nucleus and the
center of mass of two valence neutrons without resorting to the sum rule, which
may suffer from unphysical Pauli forbidden transitions. Together with the
empirical rms distance between the neutrons obtained from the matter radius
study and also from the three-body correlation study in the break-up reaction,
we convert these rms distances to the mean opening angle between the valence
neutrons from the core nucleus. We find that the obtained mean opening angles
in $^{11}$Li and $^6$He agree with the three-body model predictions.


title:
Measurement of cos2beta in B0->D(*)h0 Decays with a Time-Dependent
  Dalitz Plot Analysis of D->KSpi+pi-

abstract:
  We study the time-dependent Dalitz plot of D->KSpi+pi- in B0->D(*)h0 decays,
where h0 is a pi0, eta, eta', or omega meson and D*->Dpi0 using a data sample
of 383 X 10^6 Upsilon(4S)->BBbar decays collected with the BABAR detector. We
determine cos2beta = 0.42+-0.49+-0.09+-0.13, sin2beta = 0.29+-0.34+-0.03+-0.05,
and |lambda| = 1.01+-0.08+-0.02, where the first error is statistical, the
second is the experimental systematic uncertainty, and the third, where given,
is the Dalitz model uncertainty. Assuming the world average value for sin2beta
and |lambda|=1, cos2beta>0 is preferred over cos2beta<0 at 86% confidence
level.


title:
The Faint End Slopes Of Galaxy Luminosity Functions In The COSMOS
  2-Square Degree Field

abstract:
  We examine the faint-end slope of the rest-frame V-band luminosity function
(LF), with respect to galaxy spectral type, of field galaxies with redshift
z<0.5, using a sample of 80,820 galaxies with photometric redshifts in the
Cosmic Evolution Survey (COSMOS) field. For all galaxy spectral types combined,
the LF slope, alpha, ranges from -1.24 to -1.12, from the lowest redshift bin
to the highest. In the lowest redshift bin (0.02<z<0.1), where the magnitude
limit is M(V) ~ -13, the slope ranges from ~ -1.1 for galaxies with early-type
spectral energy distributions (SEDs), to ~ -1.9 for galaxies with
low-extinction starburst SEDs. In each galaxy SED category (Ell, Sbc, Scd/Irr,
and starburst), the faint-end slopes grow shallower with increasing redshift;
in the highest redshift bin (0.4<z<0.5), the slope is ~ -0.5 and ~ -1.3 for
early-types and starbursts respectively. The steepness of alpha at lower
redshift could be qualitatively explained by large numbers of faint dwarf
galaxies, perhaps of low surface brightness, which are not detected at higher
redshifts.


title:
Relationship between macroscopic physical properties and local
  distortions of low doping La{1-x}Ca{x}MnO3: an EXAFS study

abstract:
  A temperature-dependent EXAFS investigation of La{1-x}Ca{x}MnO3 is presented
for the concentration range that spans the ferromagnetic-insulator (FMI) to
ferromagnetic-metal (FMM) transition region, x = 0.16-0.22. The samples are
insulating for x = 0.16-0.2 and show a metal/insulator transition for x = 0.22.
All samples are ferromagnetic although the saturation magnetization for the 16%
Ca sample is only ~ 70% of the expected value at 0.4T. We find that the FMI
samples have similar correlations between changes in the local Mn-O distortions
and the magnetization as observed previously for the colossal magnetoresistance
(CMR) samples (0.2 < x < 0.5) - except that the FMI samples never become fully
magnetized. The data show that there are at least two distinct types of
distortions. The initial distortions removed as the insulating sample becomes
magnetized are small and provides direct evidence that roughly 50% of the Mn
sites have a small distortion/site and are magnetized first. The large
remaining Mn-O distortions at low T are attributed to a small fraction of
Jahn-Teller-distorted Mn sites that are either antiferromagnetically ordered or
unmagnetized. Thus the insulating samples are very similar to the behavior of
the CMR samples up to the point at which the M/I transition occurs for the CMR
materials. The lack of metallic conductivity for x <= 0.2, when 50% or more of
the sample is magnetic, implies that there must be preferred magnetized Mn
sites and that such sites do not percolate at these concentrations.


title:
Strichartz Estimates for the Schroedinger Equation with Time-Periodic
  L^{n/2} Potentials

abstract:
  We prove Strichartz estimates for the Schroedinger operator $H = -\Delta +
V(t,x)$ with time-periodic complex potentials $V$ belonging to the
scaling-critical space $L^{n/2}_x L^\infty_t$ in dimensions $n \ge 3$. This is
done directly from estimates on the resolvent rather than using dispersive
bounds, as the latter generally require a stronger regularity condition than
what is stated above. In typical fashion, we project onto the continuous
spectrum of the operator and must assume an absence of resonances. Eigenvalues
are permissible at any location in the spectrum, including at threshold
energies, provided that the associated eigenfunction decays sufficiently
rapidly.


title:
Comment on ``Precision measurement of the Casimir-Lifshitz force in a
  fluid''

abstract:
  Recently J.N. Munday and F. Capasso [Phys. Rev. A {\bf 75}, 060102(R) (2007);
arXiv:0705.3793] claimed that they have performed a precision measurement of
the Casimir force between a sphere and a plate coated with Au, both immersed in
ethanol. The measurement results were claimed to be consistent with the
Lifshitz theory. We demonstrate that the calculation of the Casimir force
between the smooth bodies following the authors prescription has a discrepancy
up to 25% with respect to authors result. We show also that the attractive
electrostatic force only due to the surface potential differences was
underestimated by a factor of 590 and the charge double layer interaction was
not taken into account. All this leads to the conclusion that the results of
this experiment are in fact uncertain.

categories: physics.atom-ph cond-mat.stat-mech physics.gen-ph quant-ph


title:
Improved Measurement of Time-Dependent CP Asymmetries and the CP-Odd
  Fraction in the Decay B0->D*+D*-

abstract:
  We present an updated measurement of the CP-odd fraction and the
time-dependent CP asymmetries in the decay B0->D*+D*-using (383 +/- 4) \times
10^{6} BB pairs collected with the Babar detector. We determine the CP-odd
fraction to be $0.143\pm0.034\stat\pm0.008\syst$. The time-dependent CP
asymmetry parameters are determined to be $C_+ = -0.05\pm 0.14\stat \pm
0.02\syst$ and $S_+ = -0.72 \pm 0.19\stat \pm 0.05\syst$. The non-zero value of
the measured $S_+$ indicates the evidence of CP violation at the $3.7 \sigma$
confidence level.


title: Liouville-type theorems for foliations with complex leaves

abstract:
  We discuss various problems regarding the structure of the foliation of some
foliated submanifolds S of C^n, in particular Levi flat ones. As a general
scheme, we suppose that S is bounded along a coordinate (or a subset of
coordinates), and prove that the leaves of its foliation are complex planes.


title:
Left-symmetric Bialgebras and An Analogue of the Classical Yang-Baxter
  Equation

abstract:
  We introduce a notion of left-symmetric bialgebra which is an analogue of the
notion of Lie bialgebra. We prove that a left-symmetric bialgebra is equivalent
to a symplectic Lie algebra with a decomposition into a direct sum of the
underlying vector spaces of two Lagrangian subalgebras. The latter is called a
parak\"ahler Lie algebra or a phase space of a Lie algebra in mathematical
physics. We introduce and study coboundary left-symmetric bialgebras and our
study leads to what we call "$S$-equation", which is an analogue of the
classical Yang-Baxter equation. In a certain sense, the $S$-equation associated
to a left-symmetric algebra reveals the left-symmetry of the products. We show
that a symmetric solution of the $S$-equation gives a parak\"ahler Lie algebra.
We also show that such a solution corresponds to the symmetric part of a
certain operator called "${\cal O}$-operator", whereas a skew-symmetric
solution of the classical Yang-Baxter equation corresponds to the
skew-symmetric part of an ${\cal O}$-operator. Thus a method to construct
symmetric solutions of the $S$-equation (hence parak\"ahler Lie algebras) from
${\cal O}$-operators is provided. Moreover, by comparing left-symmetric
bialgebras and Lie bialgebras, we observe that there is a clear analogue
between them and, in particular, parak\"ahler Lie groups correspond to
Poisson-Lie groups in this sense.


title: Demonstration of a mid infrared silicon Raman amplifier

abstract:
  We demonstrate for the first time a mid infrared silicon Raman amplifier.
Amplification of 12 dB is reported for a signal at 3.39 micron wavelength. The
active medium was a 2.5 cm long silicon sample that was pumped with 5ns pulses
at 2.88 micron. The absence of the nonlinear losses which severely limit the
performance of silicon Raman devices in the near infrared combined with
unsurpassed crystal quality, high thermal conductivity render silicon a very
attractive Raman medium. Such a technology can potentially extend silicon
photonics application beyond data communication in the near infrared and into
the mid infrared world of remote sensing, biochemical detection and laser
medicine.


title:
Single top production associated with a neutral scalar at LHC in
  topcolor-assisted technicolor

abstract:
  The topcolor-assisted technicolor (TC2) model predicts a number of neutral
scalars like the top-pion ($\pi^0_t$) and the top-Higgs ($h^0_t$). These
scalars have flavor-changing neutral-current (FCNC) top quark couplings, among
which the top-charm transition couplings may be sizable. Such FCNC couplings
induce single top productions associated with a neutral scalar at the CERN
Large Hadron Collider (LHC) through the parton processes $cg \to t \pi_t^0$ and
$cg \to t h_t^0$. In this note we examine these productions and find their
production rates can exceed the $3\sigma$ sensitivity of the LHC in a large
part of parameter space. Since in the Standard Model and the minimal
supersymmetric model such rare productions have unobservably small production
rates at the LHC, these rare processes will serve as a good probe for the TC2
model.


title: Floer Homology for Symplectomorphism

abstract:
  Let (M,\omega) be a compact symplectic manifold, and \phi be a symplectic
diffeomorphism on M, we define a Floer-type homology FH_*(\phi) which is a gen-
eralization of Floer homology for symplectic fixed points defined by Dostoglou
and Salamon for monotone symplectic manifolds. These homology groups are
modules over a suitable Novikov ring and depend only on \phi up to a
Hamiltonian isotopy.


title:
Functions of representations of the class 1 on the homogeneous spaces of
  the de Sitter group

abstract:
  Matrix elements and spherical functions of irreducible representations of the
de Sitter group are studied on the various homogeneous spaces of this group.


title:
Seip's differentiability concepts as a particular case of the
  Bertram--Gloeckner--Neeb construction

abstract:
  From the point of view of unification of differentiation theory, it is of
interest to note that the general construction principle of Bertram, Gloeckner
and Neeb leading to a C^k differentiability concept from a given C^0 one,
besides subsuming the Keller--Bastiani C_c^k differentiabilities on real
Hausdorff locally convex spaces, also does the same to the "arc-generated"
interpretation of the Lipschitz theory of differentiation by Frolicher and
Kriegl, and likewise to the "compactly generated" theory of Seip's continuous
differentiabilities. In this article, we give the details of the proof for the
assertion concerning Seip's theory. We also give an example indicating that the
premises in Seip's various inverse and implicit function theorems may be too
strong in order for these theorems to have much practical value. Also included
is a presentation of the BGN--setting reformulated so as to be consistent with
the Kelley--Morse--Godel--Bernays--von Neumann type approach to set theory, as
well as a treatment of the function space constructions and development of
their basic properties needed in the proof of the main result.


title: Nilpotent Fuzz

abstract:
  We present a construction of the formalism where fundamental variables are
nilpotent, but in contrast to the supermathematics, commutative. This gives
another possibility to realize classically the Pauli exclusion principle. We
sketch the relevant formalism and discuss simple model of the nilpotent
oscillator to illustrate the generalized nilpotent mechanics.


title: Construction of a 3-Dimensional MDS code

abstract:
  In this paper, we describe a procedure for constructing $q$--ary
$[N,3,N-2]$--MDS codes, of length $N\leq q+1$ (for $q$ odd) or $N\leq q+2$ (for
$q$ even), using a set of non--degenerate Hermitian forms in $PG(2,q^2)$.


title:
Investigation on the superluminality of evanescent modes via quantum
  Lorentz transformation

abstract:
  Applying the fact that guided photons inside a waveguide can be treated as
massive particles, one can study the superluminality of evanescent modes via
showing that a massive particle can propagate over a spacelike interval, which
corresponds to quantum tunneling effects. For this purpose, we treat the
particle as a quantum reference frame, while attach an inertia observer to a
classical reference frame, and then quantize the formulae for the Lorentz
transformation between the quantum and classical reference frames, from which
we obtain the conclusion that, owing to the Heisenberg's uncertainty relation,
the particle can propagate over a spacelike interval.


title: Defining amalgams of compact Lie groups

abstract:
  For $n \geq 2$ let $\Delta$ be a Dynkin diagram of rank $n$ and let $I = {1,
>..., n}$ be the set of labels of $\Delta$. A group $G$ admits a weak Phan
system of type $\Delta$ over $\mathbb{C}$ if $G$ is generated by subgroups
$U_i$, $i \in I$, which are central quotients of simply connected compact
semisimple Lie groups of rank one, and contains subgroups $U_{i,j} = \gen{U_i
,U_j}$, $i \neq j \in I$, which are central quotients of simply connected
compact semisimple Lie groups of rank two such that $U_i$ and $U_j$ are rank
one subgroups of $U_{i,j}$ corresponding to a choice of a maximal torus and a
fundamental system of roots for $U_{i,j}$. It is shown in this article that $G$
then is a central quotient of the simply connected compact semisimple Lie group
whose complexification is the simply connected complex semisimple Lie group of
type $\Delta$.


title: Towards Quantum Noncommutative $\kappa$-deformed Field Theory

abstract:
  We introduce new $\kappa$-star product describing the multiplication of
quantized $\kappa$-deformed free fields. The $\kappa$-deformation of local free
quantum fields originates from two sources: noncommutativity of space-time and
the $\kappa$-deformation of field oscillators algebra - we relate these two
deformations. We demonstrate that for suitable choice of $\kappa$-deformed
field oscillators algebra the $\kappa$-deformed version of microcausality
condition is satisfied, and it leads to the deformation of the Pauli-Jordan
commutation function defined by the $\kappa$-deformed mass shell. We show by
constructing the $\kappa$-deformed Fock space that the use of $\kappa$-deformed
oscillator algebra permits to preserve the bosonic statistics of n-particle
states. The proposed star product is extended to the product of $n$ fields,
which for $n=4$ defines the interaction vertex in perturbative description of
noncommutative quantum $\lambda\phi^4$ field theory. It appears that the
classical fourmomentum conservation law is satisfied at the interaction
vertices.


title: Products in Residue Classes

abstract:
  We consider a problem of P. Erdos, A. M. Odlyzko and A. Sarkozy about the
representation of residue classes modulo m by products of two not too large
primes. While it seems that even the Extended Riemann Hypothesis is not
powerful enough to achieve the expected results, here we obtain some
unconditional results ``on average'' over moduli m and residue classes modulo m
and somewhat stronger results when the average is restricted to prime moduli m
= p. We also consider the analogous question wherein the primes are replaced by
easier sequences so, quite naturally, we obtain much stronger results.


title: On the ground state of quantum layers

abstract: We provide some new results of the ground state of quantum layers.


title: Learning Phonotactics Using ILP

abstract:
  This paper describes experiments on learning Dutch phonotactic rules using
Inductive Logic Programming, a machine learning discipline based on inductive
logical operators. Two different ways of approaching the problem are
experimented with, and compared against each other as well as with related work
on the task. The results show a direct correspondence between the quality and
informedness of the background knowledge and the constructed theory,
demonstrating the ability of ILP to take good advantage of the prior domain
knowledge available. Further research is outlined.


title: Study of Resonances in Exclusive B Decays to Dbar(*)D(*)K

abstract:
  We present a study of resonances in exclusive decays of $B$ mesons to
$\bar{D}^{(*)} D^{(*)} K$. We report the observation of the decays $B \to
\Dbar^{(*)} D^+_{s1}(2536)$ where the $D^+_{s1}(2536)$ is reconstructed in the
$D^{*0}K^+$ and $D^{*+} K^0_S$ decay channels. We report also the observation
of the decays $B \to \psi(3770) K$ where the $\psi(3770)$ decays to $\Dbar^0
D^0$ and $D^- D^+$. In addition, we present the observation of an enhancement
for the $\Dbar^{*0} D^0$ invariant mass in the decays $B \to \Dbar^{*0} D^0 K$,
at a mass of $(3875.1 {}^{+0.7}_{-0.5} \pm 0.5)$ MeV/$c^2$ with a width of
$(3.0 {}^{+1.9}_{-1.4} \pm 0.9)$ MeV (the first errors are statistical and the
second are systematic). Branching fractions and spin studies are shown for the
three resonances. The results are based on 347 fb$^{-1}$ of data collected with
the BaBar detector at the PEP-II $B$ factory.


title:
Markov Chain Modelling for Reliability Estimation of Engineering Systems
  at Different Scales - Some Considerations

abstract:
  The concepts of probability, statistics and stochastic theory are being
successfully used in structural engineering. Markov Chain modelling is a simple
stochastic process model that has found its application in both describing
stochastic evolution of system and in system reliability estimation. The recent
developments in Markov Chain Monte Carlo and the possible integration of
Bayesian theory within Markov Chain theory have enhanced its application
possibilities. However, the application possibility can be furthered to range
over wider scales of application (perhaps from nano- to macro-) by considering
the developments in Physics (in particular Quantum Physics). This paper tries
to present the results of quantum physics that would help in interpretation of
transition probability matrix. However, care has to be taken in the choice of
densities in computing the transition probability matrix. The paper is based on
available literature, and the aim is only to make an attempt to show how Markov
Chain can be used to model systems at various scales.


title:
Strings, Projected Entangled Pair States, and variational Monte Carlo
  methods

abstract:
  We introduce string-bond states, a class of states obtained by placing
strings of operators on a lattice, which encompasses the relevant states in
Quantum Information. For string-bond states, expectation values of local
observables can be computed efficiently using Monte Carlo sampling, making them
suitable for a variational abgorithm which extends DMRG to higher dimensional
and irregular systems. Numerical results demonstrate the applicability of these
states to the simulation of many-body sytems.


title:
Nonlinear option pricing models for illiquid markets: scaling properties
  and explicit solutions

abstract:
  Several models for the pricing of derivative securities in illiquid markets
are discussed. A typical type of nonlinear partial differential equations
arising from these investigation is studied. The scaling properties of these
equations are discussed. Explicit solutions for one of the models are obtained
and studied.


title: Electric Transport Theory of Dirac Fermions in Graphene

abstract:
  Using the self-consistent Born approximation to the Dirac fermions under
finite-range impurity scatterings, we show that the current-current correlation
function is determined by four-coupled integral equations. This is very
different from the case for impurities with short-range potentials. As a test
of the present approach, we calculate the electric conductivity in graphene for
charged impurities with screened Coulomb potentials. The obtained conductivity
at zero temperature varies linearly with the carrier concentration, and the
minimum conductivity at zero doping is larger than the existing theoretical
predictions, but still smaller than that of the experimental measurement. The
overall behavior of the conductivity obtained by the present calculation at
room temperature is similar to that at zero temperature except the minimum
conductivity is slightly larger.


title:
Theoretical analysis of magnetic force microscopy contrast in
  multidomain states of magnetic superlattices with perpendicular anisotropy

abstract:
  Recently synthesized magnetic multilayers with strong perpendicular
anisotropy exhibit unique magnetic properties including the formation of
specific multidomain states. In particular, antiferromagnetically coupled
multilayers own rich phase diagrams that include various multidomain ground
states. Analytical equations have been derived for the stray-field components
of these multidomain states in perpendicular multilayer systems. In particular,
closed expressions for stray fields in the case of ferromagnetic and
antiferromagnetic stripes are presented. The theoretical approach provides a
basis for the analysis of magnetic force microscopy (MFM) images from this
novel class of nanomagnetic systems. Peculiarities of the MFM contrast have
been calculated for realistic tip models. These characteristic features in the
MFM signals can be employed for the investigations of the different multidomain
modes. The obtained results are applied for the analysis of multidomain modes
that have been reported earlier in the literature from experiments on [Co/Cr]Ru
superlattices.


title:
Symmetries of quadratic forms classes and of quadratic surds continued
  fractions. Part I: A Poincar\'e model for the de Sitter world

abstract:
  The problem of the classification of the indefinite binary quadratic forms
with integer coefficients is solved introducing a special partition of the de
Sitter world, where the coefficients of the forms lie, into separate domains.
Every class of indefinite forms, under the action of the special linear group
acting on the integer plane lattice, has a finite and well defined number of
representatives inside each one of such domains. This property belongs
exclusively to rational points on the one-sheeted hyperboloid. In the second
part we will show how to obtain the symmetry type of a class as well as its
number of points in all domains from a sole representative of that class.


title: Groups of motions and mechanics I: point mechanics

abstract:
  It is shown that physical mechanics for pointlike bodies can be effectively
modeled in terms of the action of transformation groups that act as symmetries
of the solutions of systems of differential equations that describe the
integrability of dynamical states. The equations of motion are then obtained
from these integrability equations for the dynamical states. It is also
observed that the functions that define the components of a dynamical state
represent a set of mechanical constitutive laws. The variational formulation of
mechanics is shown to be a specialization of these principles.


title:
The Distinct Effects of Homogeneous Weak Disorder and Dilute Strong
  Scatterers on Phase Competetion in the Manganites

abstract:
  We study the two orbital double-exchange model in two dimensions in the
presence of antiferromagnetic (AF) superexchange, strong Jahn-Teller coupling,
and substitutional disorder. At hole doping x=0.5 we explore the `bicritical'
regime where the energy of a ferromagnetic metal and a charge and orbital
ordered (CO-OO) CE state are closely balanced, and compare the impact of weak
homogeneous disorder to that of a low density of strong scatterers. Even
moderate homogeneous disorder suppresses the CE-CO-OO phase and leads to a
glass with nanoscale correlations. Dilute strong scatterers of comparable
strength, however, convert the CE-CO-OO phase to a phase separated state with
ferromagnetic and AF-CO-OO clusters. We provide the first spatial description
of these phenomena and compare our results in detail to experiments on the
half-doped manganites.


title: Cartier isomorphism and Hodge Theory in the non-commutative case

abstract:
  These are lecture notes from Clay Summer School in Goettingen, in 2006; the
lectures were an attempt at an elementary introduction to math.KT/0611623.


title: Symmetric Homology of Algebras

abstract:
  In this note, we outline the general development of a theory of symmetric
homology of algebras, an analog of cyclic homology where the cyclic groups are
replaced by symmetric groups. This theory is developed using the framework of
crossed simplicial groups and the homological algebra of module-valued
functors. The symmetric homology of group algebras is related to stable
homotopy theory. Two spectral sequences for computing symmetric homology are
constructed. The relation to cyclic homology is discussed and some conjectures
and questions towards further work are discussed.


title: Study of K^0 \to pi^- e^+ nu_e e^+ e^- in chiral perturbation theory

abstract:
  K^0 \to pi^- e^+ nu_e e^+ e^- decay is studied up to the next-to-leading
order O^4 in chiral perturbation theory. It is found that the O^4 terms
appreciably modifiy the shape of the invariant mass distribution of the leptons
and the energy spectrum of the neutrino.


title: Equivariant homotopy and deformations of diffeomorphisms

abstract:
  We present a way of constructing and deforming diffeomorphisms of manifolds
endowed with a Lie group action. This is applied to the study of exotic
diffeomorphisms and involutions of spheres and to the equivariant homotopy of
Lie groups.


title: Recent photometry of symbiotic stars - XII

abstract:
  We present new photometric observations of 15 symbiotic stars (EG And, Z And,
AE Ara, BF Cyg, CH Cyg, CI Cyg, V1329 Cyg, TX CVn, AG Dra, Draco C-1, RW Hya,
SY Mus, AR Pav, AG Peg, AX Per) covering their last orbital cycle(s) from
2003.9 to 2007.2. We obtained our data by both classical photoelectric and CCD
photometry. Main results are: EG And brightened by about 0.3 mag in U from
2003. A 0.5 mag deep primary minimum developed in the U light curve (LC) at the
end of 2006. Z And continues its recent activity that began during the 2000
autumn. A new small outburst started in summer of 2004 with the peak
U-magnitude of about 9.2. During the spring of 2006 the star entered a massive
outburst. It reached its historical maximum at U = 8.0 in 2006 July. AE Ara
erupted in 2006 February with Dm(vis) approx. 1.2 mag. BF Cyg entered a new
active stage in 2006 August. A brightness maximum (U approx. 9.4) was measured
during 2006 September. CH Cyg persists in a quiescent phase. During 2006 June -
December about 2 mag decline in all colours was measured. CI Cyg started a new
active phase during 2006 May - June. After 31 years it erupted by about 2 mag
in U. TX CVn maintains a bright stage with U approx. 10.5 from 2003. AG Dra
entered a new major outburst in 2006 June. It reached its maximum at U = 8.0 in
2006 September. AR Pav persists at a low level of the activity. AG Peg's LC
profile varies markedly during different orbital cycles. AX Per continues its
quiescent phase.


title:
Homogeneous temporal activity patterns in a large online communication
  space

abstract:
  The many-to-many social communication activity on the popular technology-news
website Slashdot has been studied. We have concentrated on the dynamics of
message production without considering semantic relations and have found
regular temporal patterns in the reaction time of the community to a news-post
as well as in single user behavior. The statistics of these activities follow
log-normal distributions. Daily and weekly oscillatory cycles, which cause
slight variations of this simple behavior, are identified. A superposition of
two log-normal distributions can account for these variations. The findings are
remarkable since the distribution of the number of comments per users, which is
also analyzed, indicates a great amount of heterogeneity in the community. The
reader may find surprising that only a few parameters allow a detailed
description, or even prediction, of social many-to-many information exchange in
this kind of popular public spaces.


title:
Optimal Causal Inference: Estimating Stored Information and
  Approximating Causal Architecture

abstract:
  We introduce an approach to inferring the causal architecture of stochastic
dynamical systems that extends rate distortion theory to use causal
shielding---a natural principle of learning. We study two distinct cases of
causal inference: optimal causal filtering and optimal causal estimation.
  Filtering corresponds to the ideal case in which the probability distribution
of measurement sequences is known, giving a principled method to approximate a
system's causal structure at a desired level of representation. We show that,
in the limit in which a model complexity constraint is relaxed, filtering finds
the exact causal architecture of a stochastic dynamical system, known as the
causal-state partition. From this, one can estimate the amount of historical
information the process stores. More generally, causal filtering finds a graded
model-complexity hierarchy of approximations to the causal architecture. Abrupt
changes in the hierarchy, as a function of approximation, capture distinct
scales of structural organization.
  For nonideal cases with finite data, we show how the correct number of
underlying causal states can be found by optimal causal estimation. A
previously derived model complexity control term allows us to correct for the
effect of statistical fluctuations in probability estimates and thereby avoid
over-fitting.

categories: cs.IT cond-mat.stat-mech cs.LG math.IT math.ST stat.TH


title: The equivariant cohomology of weighted projective space

abstract:
  We describe the integral equivariant cohomology ring of a weighted projective
space in terms of piecewise polynomials, and thence by generators and
relations. We deduce that the ring is a perfect invariant, and prove a Chern
class formula for weighted projective bundles.


title: A Littlewood-Richardson rule for Grassmannian Permutations

abstract:
  We give a combinatorial rule for computing intersection numbers on a flag
manifold which come from products of Schubert classes pulled back from
Grassmannian projections. This rule generalizes the known rule for
Grassmannians.


title: Intransitive geometries

abstract:
  A lemma of Tits establishes a connection between the simple connectivity of
an incidence geometry and the universal completion of an amalgam induced by a
sufficiently transitive group of automorphisms of that geometry. In the present
paper, we generalize this lemma to intransitive geometries, thus opening the
door for numerous applications. We treat ourselves some amalgams related to
intransitive actions of finite orthogonal groups, as a first class of examples.


title: Physics of Non-Inertial Reference Frames

abstract:
  Physics of non-inertial reference frames is a generalizing of Newton's laws
to any reference frames. The first, Law of Kinematic in non-inertial reference
frames reads: the kinematic state of a body free of forces conserves and
determinates a constant n-th order derivative with respect to time being equal
in absolute value to an invariant of the observer's reference frame. The
second, Law of Dynamic extended Newton's second law to non-inertial reference
frames and also contains additional variables there are higher derivatives of
coordinates. Dynamics Law in non-inertial reference frames reads: a force
induces a change in the kinematic state of the body and is proportional to the
rate of its change. It is mean that if the kinematic invariant of the reference
frame is n-th derivative with respect the time, then the dynamics of a body
being affected by the force F is described by the (n+1)-th differential
equation. The third, Law of Static in non-inertial reference frames reads: the
sum of all forces acting a body at rest is equal to zero.


title: Applications of Poisson Geometry to Physical Problems

abstract:
  We consider Lagrangians in Hamilton's principle defined on the tangent space
$TG$ of a Lie group $G$. Invariance of such a Lagrangian under the action of
$G$ leads to the symmetry-reduced Euler-Lagrange equations called the
Euler-Poincar\'e equations. In this case, the invariant Lagrangian is defined
on the Lie algebra of the group and its Euler-Poincar\'e equations are defined
on the dual Lie algebra, where dual is defined by the operation of taking
variational derivative. On the Hamiltonian side, the Euler-Poincar\'e equations
are Lie-Poisson and they possess accompanying momentum maps, which encode both
their conservation laws and the geometry of their solution space.
  The standard Euler-Poincar\'e examples are treated, including particle
dynamics, the rigid body, the heavy top and geodesic motion on Lie groups.
Additional topics deal with Fermat's principle, the $\mathbb{R}^3$ Poisson
bracket, polarized optical traveling waves, deformable bodies (Riemann
ellipsoids) and shallow water waves, including the integrable shallow water
wave systems associated with geodesic motion on the diffeomorphisms. The
lectures end with the semidirect-product Euler-Poincar\'e reduction theorem for
ideal fluid dynamics. This theorem introduces the Euler--Poincar\'e variational
principle for incompressible and compressible motions of ideal fluids, with
applications to geophysical fluids. It also leads to their Lie-Poisson
Hamiltonian formulation.


title: Multisymplectic and polysymplectic structures on fiber bundles

abstract:
  We introduce the concepts of a multisymplectic structure and a polysymplectic
structure on a general fiber bundle over a general base manifold, define the
concept of the symbol of a multisymplectic form, which is a polysymplectic form
representing its leading order contribution, and prove Darboux theorems for the
existence of canonical local coordinates.


title: Quantum theory and the observation problem

abstract:
  Quantum theory is applicable, in principle, to both the microscopic and
macroscopic realms. It is therefore worthwhile to investigate whether it is
possible to evolve a quantum-compatible view of the properties and states of
macroscopic objects in everyday thinking. It will allow a realistic
interpretation of quantum theory in a manner directly consistent with the
observations. The construction of such a view will provide a solution to what I
term the observation problem. Toward solving the observation problem, I
identify a category of new objective properties called 'relational properties'
that are (so to speak) in-between primary and secondary properties. We
regularly associate such properties with everyday objects, and I discuss how in
fact these are quantum-compatible. If this relational-property viewpoint could
be worked into quantum theory, it would altogether avoid the measurement
problem, which is an artifact of our current inconsistent (albeit pragmatically
successful) strategy of retaining a classical view of the macroscopic world
while applying quantum theory to the microscopic world. Some implications of
the relational property viewpoint to neurobiological issues underlying
cognition are touched upon.


title:
Vorticity and Magnetic Field Generation from Initial Anisotropy in
  Ultrarelativistic Gamma-Ray Burst Blastwaves

abstract:
  Because conical segments of quasispherical ultrarelativistic blastwaves are
causally disconnected on angular scales larger than the blastwave inverse
Lorentz factor, astrophysical blastwaves can sustain initial anisotropy,
imprinted by the process that drives the explosion, while they remain
relativistic. We show that initial angular energy fluctuations in
ultrarelativistic blastwaves imply a production of vorticity in the blastwave,
and calculate the vortical energy production rate. In gamma-ray burst (GRB)
afterglows, the number of vortical eddy turnovers as the shocked fluid crosses
the blastwave shell is about unity for marginally nonlinear anisotropy. Thus
the anisotropy must be nonlinear to explain the magnetic energy density
inferred in measured GRB spectra.


title:
On the gap probability generating function at the spectrum edge in the
  case of orthogonal symmetry

abstract:
  The gap probability generating function has as its coefficients the
probability of an interval containing exactly $k$ eigenvalues. For scaled
random matrices with orthogonal symmetry, and the interval at the hard or soft
spectrum edge, the gap probability generating functions have the special
property that they can be evaluated in terms of Painlev\'e transcendents. The
derivation of these results makes use of formulas for the same generating
function in certain scaled, superimposed ensembles expressed in terms of its
correlation functions. It is shown that by a judicious choice of the
superimposed ensembles, the scaled limit necessary to derive these formulas can
be rigorously justified by a straight forward analysis.


title:
On the construction of Nadel multiplier ideal sheaves and the limiting
  behavior of the Ricci flow

abstract:
  In this note we construct Nadel multiplier ideal sheaves using the Ricci flow
on Fano manifolds. This extends a result of Phong, Sesum and Sturm. These
sheaves, like their counterparts constructed by Nadel for the continuity
method, can be used to obtain an existence criterion for Kahler-Einstein
metrics.


title: Every sum system is divisible

abstract:
  We show that every sum system is divisible. Combined with B. V. R. Bhat and
R. Srinivasan's result, this shows that every product system arising from a sum
system (and every generalized CCR flow) is either of type I or type III. A
necessarily and sufficient condition for such a product system to be of type I
is obtained.


title: Other Exotic Scenarios at the LHC

abstract:
  The considerable center-of-mass energy and luminosity provided by the Large
Hadron Collider (LHC) will ensure a discovery reach for new particles which
extends well into the multi-TeV region. ATLAS and CMS have carried out many
studies of the implications of this capability for Beyond the Standard Model
physics. In this paper, we summarize some key results of studies involving
non-susy models, such as extra-dimensions, little higgs, compositeness, and
left-right symmetric models.


title: Updating Probabilities with Data and Moments

abstract:
  We use the method of Maximum (relative) Entropy to process information in the
form of observed data and moment constraints. The generic "canonical" form of
the posterior distribution for the problem of simultaneous updating with data
and moments is obtained. We discuss the general problem of non-commuting
constraints, when they should be processed sequentially and when
simultaneously. As an illustration, the multinomial example of die tosses is
solved in detail for two superficially similar but actually very different
problems.

categories: physics.data-an cs.IT math.IT math.ST physics.comp-ph physics.pop-ph stat.AP stat.CO stat.ME stat.TH


title: Resonance phenomena in discrete systems with bichromatic input signal

abstract:
  We undertake a detailed numerical study of the twin phenomena of stochastic
and vibrational resonance in a discrete model system in the presence of
bichromatic input signal. A two parameter cubic map is used as the model that
combines the features of both bistable and threshold settings. Our analysis
brings out several interesting results, such as, the existence of a cross over
behaviour from vibrational to stochastic resonance and the possibility of using
stochastic resonance as a filter for the selective detection/transmission of
the component frequencies in a composite signal. The study also reveals a
fundamental difference between the bistable and threshold mechanisms with
respect to amplification of a multi signal input.


title: A New Spin Foam Model for 4d Gravity

abstract:
  Starting from Plebanski formulation of gravity as a constrained BF theory we
propose a new spin foam model for 4d Riemannian quantum gravity that
generalises the well-known Barrett-Crane model and resolves the inherent to it
ultra-locality problem. The BF formulation of 4d gravity possesses two sectors:
gravitational and topological ones. The model presented here is shown to give a
quantization of the gravitational sector, and is dual to the recently proposed
spin foam model of Engle et al. which, we show, corresponds to the topological
sector. Our methods allow us to introduce the Immirzi parameter into the
framework of spin foam quantisation. We generalize some of our considerations
to the Lorentzian setting and obtain a new spin foam model in that context as
well.


title: On similarity classes of well-rounded sublattices of $\mathbb Z^2$

abstract:
  A lattice is called well-rounded if its minimal vectors span the
corresponding Euclidean space. In this paper we study the similarity classes of
well-rounded sublattices of ${\mathbb Z}^2$. We relate the set of all such
similarity classes to a subset of primitive Pythagorean triples, and prove that
it has structure of a noncommutative infinitely generated monoid. We discuss
the structure of a given similarity class, and define a zeta function
corresponding to each similarity class. We relate it to Dedekind zeta of
${\mathbb Z}[i]$, and investigate the growth of some related Dirichlet series,
which reflect on the distribution of well-rounded lattices. Finally, we
construct a sequence of similarity classes of well-rounded sublattices of
${\mathbb Z}^2$, which gives good circle packing density and converges to the
hexagonal lattice as fast as possible with respect to a natural metric we
define.


title: New lower bounds on the non-zero capacity of Pauli Channels

abstract:
  We study encodings that give the best known thresholds for the non-zero
capacity of quantum channels, i.e., the upper bound for correctable noise,
using an entropic approach to calculation of the threshold values. Our results
show that Pauli noise is correctable up to the hashing bound. For a
depolarizing channel, this approach allows one to achieve a non-zero capacity
for a fidelity (probability of no error) of f=0.80870.


title: Genomes: at the edge of chaos with maximum information capacity

abstract:
  We propose an order index, phi, which quantifies the notion of ``life at the
edge of chaos'' when applied to genome sequences. It maps genomes to a number
from 0 (random and of infinite length) to 1 (fully ordered) and applies
regardless of sequence length. The 786 complete genomic sequences in GenBank
were found to have phi values in a very narrow range, 0.037+/-0.027. We show
this implies that genomes are halfway towards being completely random, namely,
at the edge of chaos. We argue that this narrow range represents the
neighborhood of a fixed-point in the space of sequences, and genomes are driven
there by the dynamics of a robust, predominantly neutral evolution process.


title: Constructing Merger Trees that Mimic N-Body Simulations

abstract:
  We present a simple and efficient empirical algorithm for constructing
dark-matter halo merger trees that reproduce the distribution of trees in the
Millennium cosmological $N$-body simulation. The generated trees are
significantly better than EPS trees. The algorithm is Markovian, and it
therefore fails to reproduce the non-Markov features of trees across short time
steps, except for an accurate fit to the evolution of the average main
progenitor. However, it properly recovers the full main progenitor distribution
and the joint distributions of all the progenitors over long-enough time steps,
$\Delta \omega \simeq \Delta z>0.5$, where $\omega \simeq 1.69/D(t)$ is the
self-similar time variable and $D(t)$ refers to the linear growth of density
fluctuations. We find that the main progenitor distribution is log-normal in
the variable $\sigma^2(M)$, the variance of linear density fluctuations in a
sphere encompassing mass $M$. The secondary progenitors are successfully drawn
one by one from the remaining mass using a similar distribution function. These
empirical findings may be clues to the underlying physics of merger-tree
statistics. As a byproduct, we provide useful, accurate analytic time-invariant
approximations for the main progenitor accretion history and for halo merger
rates.


title:
Backward-angle photoproduction of $\pi^0$ mesons on the proton at
  $E_\gamma$ = 1.5--2.4 GeV

abstract:
  Differential cross sections and photon beam asymmetries for $\pi^0$
photoproduction have been measured at $E_\gamma$ = 1.5--2.4 GeV and at the
$\pi^0$ scattering angles, --1 $<$ cos$\Theta_{c.m.} <$ --0.6. The
energy-dependent slope of differential cross sections for $u$-channel $\pi^0$
production has been determined. An enhancement at backward angles is found
above $E_\gamma$ = 2.0 GeV. This is inferred to be due to the $u$-channel
contribution and/or resonances. Photon beam asymmetries have been obtained for
the first time at backward angles. A strong angular dependence has been found
at $E_\gamma >$ 2.0 GeV, which may be due to the unknown high-mass resonances.


title: On the mean square of the divisor function in short intervals

abstract:
  We provide upper bounds for the mean square integral $$
\int_X^{2X}(\Delta_k(x+h) - \Delta_k(x))^2 dx \qquad(h = h(X)\gg1, h = o(x)
{\roman{as}} X\to\infty) $$ where $h$ lies in a suitable range. For $k\ge2$ a
fixed integer, $\Delta_k(x)$ is the error term in the asymptotic formula for
the summatory function of the divisor function $d_k(n)$, generated by
$\zeta^k(s)$.


title:
Three-Body Forces Produced by a Similarity Renormalization Group
  Transformation in a Simple Model

abstract:
  A simple class of unitary renormalization group transformations that force
hamiltonians towards a band-diagonal form produce few-body interactions in
which low- and high-energy states are decoupled, which can greatly simplify
many-body calculations. One such transformation has been applied to
phenomenological and effective field theory nucleon-nucleon interactions with
success, but further progress requires consistent treatment of at least the
three-nucleon interaction. In this paper we demonstrate in an extremely simple
model how these renormalization group transformations consistently evolve two-
and three-body interactions towards band-diagonal form, and introduce a
diagrammatic approach that generalizes to the realistic nuclear problem.


title: How the First Stars Regulated Local Star Formation I: Radiative Feedback

abstract:
  We present numerical simulations of how a 120 M$_\odot$ primordial star
regulates star formation in nearby cosmological halos at $z \sim$ 20 by
photoevaporation. Our models include nine-species primordial chemistry and
self-consistent multifrequency conservative transfer of UV photons with all
relevant radiative processes. Whether or not new stars form in halos clustered
around a Population III star ultimately depends on their core densities and
proximity to the star. Diffuse halos with central densities below 2 - 3
cm$^{-3}$ are completely ionized and evaporated anywhere in the cluster.
Evolved halos with core densities above 2000 cm$^{-3}$ are impervious to both
ionizing and Lyman-Werner flux at most distances from the star and collapse as
quickly as they would in its absence. Star formation in halos of intermediate
density can be either promoted or suppressed depending on how the I-front
remnant shock compresses, deforms and enriches the core with H$_2$. We find
that the 120 M$_\odot$ star photodissociates H$_2$ in most halos in the cluster
but that catalysis by H- restores it a few hundred kyr after the death of the
star, with little effect on star formation. Our models exhibit significant
departures from previous one-dimensional spherically-symmetric simulations,
which are prone to serious errors due to unphysical geometric focusing effects.


title:
On determination of periods of geometric continued fractions for
  two-dimensional algebraic hyperbolic operators

abstract:
  For a given sequence of positive integers we make an explicit construction of
a reduced hyperbolic operator in SL(2,z) with the sequence as a period of a
geometric continued fraction in the sense of Klein. Further we experimentally
study an algorithm to construct a period for an arbitrary operator of SL(2,z)
(the Gauss Reduction Theory).


title: On families of $BS_{can}$ lagrangian tori in projective spaces

abstract:
  This small note contains two simple remarks about Bohr - Sommerfeld with
respect to the anticanonical class lagrangian tori in the projective spaces,
which are the most popular examples of monotone symplectic manifolds.


title:
A Corona Australis cloud filament seen in NIR scattered light I.
  Comparison with extinction of background stars

abstract:
  With current near-infrared (NIR) instruments the near-infrared light
scattered from interstellar clouds can be mapped over large areas. The surface
brightness carries information on the line-of-sight dust column density.
Therefore, scattered light could provide an important tool to study mass
distribution in quiescent interstellar clouds at a high, even sub-arcsecond
resolution. We wish to confirm the assumption that light scattering dominates
the surface brightness in all NIR bands. Furthermore, we want to show that
scattered light can be used for an accurate estimation of dust column densities
in clouds with Av in the range 1-15mag. We have obtained NIR images of a
quiescent filament in the Corona Australis molecular cloud. The observations
provide maps of diffuse surface brightness in J, H, and Ks bands. Using the
assumption that signal is caused by scattered light we convert surface
brightness data into a map of dust column density. The same observations
provide colour excesses for a large number of background stars. These data are
used to derive an extinction map of the cloud. The two, largely independent
tracers of the cloud structure are compared. Results. In regions below Av=15m
both diffuse surface brightness and background stars lead to similar column
density estimates. The existing differences can be explained as a result of
normal observational errors and bias in the sampling of extinctions provided by
the background stars. There is no indication that thermal dust emission would
have a significant contribution even in the Ks band. The results show that,
below Av=15mag, scattered light does provide a reliable way to map cloud
structure. Compared with the use of background stars it can also in practice
provide a significantly higher spatial resolution.


title:
The solar photospheric abundance of phosphorus: results from co5bold 3D
  model atmospheres

abstract:
  aims: We determine the solar abundance of phosphorus using co5bold 3D
hydrodynamic model atmospheres. method: High resolution, high signal-to-noise
solar spectra of the PI lines of Multiplet 1 at 1051-1068 nm are compared to
line formation computations performed on a co5bold solar model atmosphere.
results: We find A(P)=5.46+- 0.04, in good agreement with previous analysis
based on 1D model atmospheres, due to the fact that the PI lines of Mult. 1 are
little affected by 3D effects. We cannot confirm an earlier claim by other
authors of a downward revision of the solar P abundance by 0.1 dex employing a
3D model atmosphere. Concerning other stars, we found modest (<0.1 dex) 3D
abundance corrections for P among four F dwarf model atmospheres of different
metallicity, being largest at lowest metallicity. conclusions: We conclude that
3D abundance corrections are generally rather small for the PI lines studied in
this work. They are marginally relevant for metal-poor stars, but may be
neglected in the Sun.


title: Similarity classes of 3x3 matrices over a local principal ideal ring

abstract:
  In this paper similarity classes of three by three matrices over a local
principal ideal commutative ring are analyzed. When the residue field is
finite, a generating function for the number of similarity classes for all
finite quotients of the ring is computed explicitly.


title: Cosmic rays from thermal sources

abstract:
  Energy spectrum of cosmic rays (CR) exhibits power-like behavior with very
characteristic "knee" structure. We consider a generalized statistical model
for the production process of cosmic rays which accounts for such behavior in a
natural way either by assuming existence of temperature fluctuations in the
source of CR, or by assuming specific temperature distribution of CR sources.
Both possibilities yield the so called Tsallis statistics and lead to the
power-like distribution. We argue that the "knee" structure arises as result of
abrupt change of fluctuations in the source of CR. Its possible origin is
briefly discussed.


title: Relaxation of transport properties in electron doped SrTiO3

abstract:
  We electron-dope single crystal samples of SrTiO_3 by exposing them to Ar^+
irradiation and observe carrier mobility similar in its magnitude and
temperature dependence to the carrier mobility in other electron-doped SrTiO3
systems. We find that some transport properties are time-dependent. In
particular, the sheet resistance increases with time at a temperature-dependent
rate, suggesting an activation barrier on the order of 1 eV. We attribute the
relaxation effects to diffusion of oxygen vacancies - a process with energy
barrier similar to the observed activation energy.


title: DGP Cosmology with a Non-Minimally Coupled Scalar Field on the Brane

abstract:
  We construct a DGP inspired braneworld scenario where a scalar field
non-minimally coupled to the induced Ricci curvature is present on the brane.
First we investigate the status of gravitational potential with non-minimal
coupling and observational constraints on this non-minimal model. Then we
further deepen the idea of embedding of FRW cosmology in this non-minimal
setup. Cosmological implications of this scenario are examined with details and
the quintessence and late-time expansion of the universe within this framework
are examined. Some observational constraints imposed on this non-minimal
scenario are studied and relation of this model with dark radiation formalism
is determined with details.


title: Flavor SU(3) analysis of charmless B->PP decays

abstract:
  We perform a global fits to charmless $B \to PP$ decays which independently
constrain the $(\bar\rho,\bar\eta)$ vertex of the unitarity triangle. The
fitted amplitudes and phase are used to predict the branching ratios and CP
asymmetries of all decay modes, including those of the $B_s$ system. Different
schemes of SU(3) breaking in decay amplitude sizes are analyzed. The
possibility of having a new physics contribution to $K \pi$ decays is also
discussed.


title: Simplified Version of the Nucleon and Delta-Isobar Description

abstract:
  Considering synchronous spin-isospin rotation as a collective motion a
simplified scheme of the nucleon and delta isobar description is formulated.


title:
Measurement of The Time-Dependent CP Asymmetry in B0 --> K*0 gamma
  Decays

abstract:
  We present a preliminary measurement of the time-dependent CP asymmetry in B0
--> K*0 (K_S0 pi0) gamma decays based on 431 x 10^6 Upsilon(4S) --> BBbar
decays collected with the BaBar detector at the PEP-II asymmetric-energy e+e-
collider at SLAC. In a sample containing 316 +/- 22 signal events we measure
S_{K* gamma} = -0.08 +/- 0.31 +/- 0.05 and C_{K* gamma} = -0.15 +/- 0.17 +/-
0.03. The uncertainties are statistical and systematic, respectively.


title: Classical limit of the Casimir entropy for scalar massless field

abstract:
  We study the Casimir effect at finite temperature for a massless scalar field
in the parallel plates geometry in N spatial dimensions, under various
combinations of Dirichlet and Neumann boundary conditions on the plates. We
show that in all these cases the entropy, in the limit where energy
equipartitioning applies, is a geometrical factor whose sign determines the
sign of the Casimir force.


title:
Robustness of the second law of thermodynamics under generalizations of
  the maximum entropy method

abstract:
  It is shown that the laws of thermodynamics are extremely robust under
generalizations of the form of entropy. Using the Bregman-type relative
entropy, the Clausius inequality is proved to be always valid. This implies
that thermodynamics is highly universal and does not rule out consistent
generalization of the maximum entropy method.


title: Evidence that a cluster of UHECRs was produced by a burst or flare

abstract:
  The angular clustering of 5 Ultrahigh Energy Cosmic Rays (UHECRs) in the
combined published AGASA-HiRes data has a probability of ~ 2 10^-3 of occurring
by chance. A first analysis of the implications of the event energies and
angular spreading is presented, which is applicable if the source is close
enough that GZK losses can be ignored. Under this assumption, the observed
energies of the events in this cluster favor a bursting rather than
continuously emitting source, with the events emitted on a time scale short
compared with 300 D_Mpc years. Assuming the UHECRs experience many incoherent
small magnetic deflections enroute from source to Earth, the arrival direction
distribution allows estimation that < B^2 lambda > D ~ 7.7 nG^2 Mpc^2, where
lambda is the coherence length of the field and D is the source distance. If
the spectrum at the source ~ E^{-2}, the total isotropic equivalent energy
emitted in UHECRs is > 10^43 D_Mpc^3 ergs.


title: Gluon Vortices and Induced Magnetic Field in Compact Stars

abstract:
  The natural candidates for the realization of color superconductivity are the
extremely dense cores of compact stars, many of which have very large magnetic
fields, especially the so-called magnetars. In this paper we discuss how a
color superconducting core can serve to generate and enhance the stellar
magnetic field without appealing to a magnetohydrodynamic dynamo mechanism.


title: Magnetic Phases in Dense Quark Matter

abstract:
  In this paper I discuss the magnetic phases of the three-flavor color
superconductor. These phases can take place at different field strengths in a
highly dense quark system. Given that the best natural candidates for the
realization of color superconductivity are the extremely dense cores of neutron
stars, which typically have very large magnetic fields, the magnetic phases
here discussed could have implications for the physics of these compact
objects.


title:
The group of automorphisms of the first Weyl algebra in prime
  characteristic and the restriction map

abstract:
  Let $K$ be a {\em perfect} field of characteristic $p>0$, $A_1:=K< x, \der |
\der x- x\der =1>$ be the first Weyl algebra and $Z:=K[X:=x^p, Y:=\der^p]$ be
its centre. It is proved that $(i)$ the restriction map $\res :\Aut_K(A_1)\ra
\Aut_K(Z), \s \mapsto \s|_Z$, is a monomorphism with $\im (\res) = \G :=\{\tau
\in \Aut_K(Z) | \CJ (\tau) =1\}$ where $\CJ (\tau) $ is the Jacobian of $\tau$
(note that $\Aut_K(Z)=K^*\ltimes \G$ and if $K$ is {\em not} perfect then $\im
(\res) \neq \G$); $(ii)$ the bijection $\res : \Aut_K(A_1) \ra \G$ is a
monomorphism of infinite dimensional algebraic groups which is {\em not} an
isomorphism (even if $K$ is algebraically closed); $(iii)$ an explicit formula
for $\res^{-1}$ is found via differential operators $\CD (Z)$ on $Z$ and
negative powers of the Fronenius map $F$. Proofs are based on the following
(non-obvious) equality proved in the paper: $$ (\frac{d}{dx}+f)^p=
(\frac{d}{dx})^p+\frac{d^{p-1}f}{dx^{p-1}}+f^p, f\in K[x].$$


title:
Memorino on the `1/2 vs. 3/2 Puzzle' in $\bar B \to l \bar \nu X_c$ -- a
  Year Later and a Bit Wiser

abstract:
  The OPE treatment that has been so successful in describing inclusive $\bar B
\to l \bar \nu X_c$ decays yields sum rules (in particular the Uraltsev sum
rule and its higher moments) implying the dominance of the $P$ wave $j_q = 3/2$
charm states in $X_c$ over their $j_q=1/2$ counterparts. This prediction is
supported by other general arguments as well as quark model calculations, which
illustrate the OPE results, and by preliminary lattice findings. Its failure
would indicate a significant limitation in our theoretical understanding of
$\bar B \to l \bar \nu X_c$. Some experimental issues have been clarified since
a preliminary version of this note had appeared, yet the verdict on the
composition of the final states {\em beyond} $D$, $D^*$ and the two narrow $j_q
= 3/2$ resonances remains unsettled. Establishing which hadronic configurations
-- $D/D^* + \pi, D/D^* + 2 \pi, ...$ -- contribute, what their quantum numbers
are and their mass distributions will require considerable experimental effort.
We explain the theoretical issues involved and why a better understanding of
them will be of significant value. Having significant contributions from a mass
continuum distribution below 2.5 GeV raises serious theoretical questions for
which we have no good answer. Two lists are given, one with measurements that
need to be done and one with items of theoretical homework. Some of the latter
can be done by employing existing theoretical tools, whereas others need new
ideas.


title: Classifying finite localizations of quasi-coherent sheaves

abstract:
  Given a quasi-compact, quasi-separated scheme X, a bijection between the
tensor localizing subcategories of finite type in Qcoh(X) and the set of all
subsets $Y\subseteq X$ of the form $Y=\bigcup_{i\in\Omega}Y_i$, with
$X\setminus Y_i$ quasi-compact and open for all $i\in\Omega$, is established.
As an application, there is constructed an isomorphism of ringed spaces
(X,O_X)-->(Spec(Qcoh(X)),O_{Qcoh(X)}), where $(Spec(Qcoh(X)),O_{Qcoh(X)})$ is a
ringed space associated to the lattice of tensor localizing subcategories of
finite type. Also, a bijective correspondence between the tensor thick
subcategories of perfect complexes $\perf(X)$ and the tensor localizing
subcategories of finite type in Qcoh(X) is established.


title:
Unbalanced Renormalization of Tunneling in MOSFET-type Structures in
  Strong High-Frequency Electric Fields

abstract:
  Two-dimensional electron gas coupled to adjacent impurity sites in
high-frequency out-of-plane ac control electric field is investigated.
Modification of tunneling rates as a function of the field amplitude is
calculated. Nonlinear dependence on the ac field strength is reported for the
conductivity of two-dimensional electron gas. It develops a periodic peak
structure.


title:
Designing a Collaborative Research Environment for Students and their
  Supervisors (CRESS)

abstract:
  In a previous paper the CSCR domain was defined. Here this is taken to the
next stage where the design of a particular Collaborative Research Environment
to support Students and Supervisors (CRESS) is considered. Following the CSCR
structure this paper deals with an analysis of 13 collaborative working
environments to determine a preliminary design for CRESS in order to discover
the most appropriate set of tools for its implementation.


title: On n-point Amplitudes in N=4 SYM

abstract:
  The computation of n-point planar amplitudes in N=4 SYM at strong coupling is
known to be reduced to the search for solutions of the integrable 2d SO(4,2)
sigma-model with growing asymptotics on the world-sheet and to the study of
their Whitham deformations induced by an epsilon-regularization, which breaks
both integrability and SO(4,2) symmetry. A multi-parameter (moduli) family of
such solutions is constructed for n=4. They all correspond to the same s and t
and some are related by SO(4,2) transformations. Nevertheless, they lead to
different regularized areas, whose minimum is the Alday-Maldacena solution. A
brief review of results on n-point amplitudes is also provided, with special
emphasis on the underlying equivalence of the above regularized minimal area in
AdS and a double contour integral along the same boundary, two purely geometric
quantities.


title: Thermodynamic Entropy And The Accessible States of Some Simple Systems

abstract:
  Comparison of the thermodynamic entropy with Boltzmann's principle shows that
under conditions of constant volume the total number of arrangements in simple
thermodynamic systems with temperature-independent heat capacities is TC/k. A
physical interpretation of this function is given for three such systems; an
ideal monatomic gas, an ideal gas of diatomic molecules with rotational motion,
and a solid in the Dulong-Petit limit of high temperature. T1/2 emerges as a
natural measure of the number of accessible states for a single particle in one
dimension. Extension to N particles in three dimensions leads to TC/k as the
total number of possible arrangements or microstates. The different microstates
of the system are thus shown a posteriori to be equally probable, with
probability T-C/k, which implies that for the purposes of counting states the
particles of the gas are distinguishable. The most probable energy state of the
system is determined by the degeneracy of the microstates.


title: Rearranging Edgeworth-Cornish-Fisher Expansions

abstract:
  This paper applies a regularization procedure called increasing rearrangement
to monotonize Edgeworth and Cornish-Fisher expansions and any other related
approximations of distribution and quantile functions of sample statistics.
Besides satisfying the logical monotonicity, required of distribution and
quantile functions, the procedure often delivers strikingly better
approximations to the distribution and quantile functions of the sample mean
than the original Edgeworth-Cornish-Fisher expansions.


title:
Blocks adjustment -- reduction of bias and variance of detrended
  fluctuation analysis using Monte Carlo simulation

abstract:
  The length of minimal and maximal blocks equally distant on log-log scale
versus fluctuation function considerably influences bias and variance of DFA.
Through a number of extensive Monte Carlo simulations and different fractional
Brownian motion/fractional Gaussian noise generators, we found the pair of
minimal and maximal blocks that minimizes the sum of mean-squared error of
estimated Hurst exponents for the series of length N=2^p, p=7,...,15.
Sensitivity of DFA to sort-range correlations was examined using ARFIMA(p,d,q)
generator. Due to the bias of the estimator for anti-persistent processes, we
narrowed down the range of Hurst exponent to 1/2<=H< 1.


title: Fast spectroscopy and imaging with the FORS2 HIT mode

abstract:
  The HIgh-Time resolution (HIT) mode of FORS2 has 3 sub-modes that allow for
imaging and spectroscopy over a range of timescales from milliseconds up to
seconds. It is the only high time resolution spectroscopy mode available on an
8m class telescope. In imaging mode, it can be used to measure the pulse of
pulsars and spinning white dwarfs in a variety of high throughput broad- and
narrow-band filters. In spectroscopy mode it can take up to 10 spectra per
second using a novel ''shift-and-wait'' clocking pattern for the CCD. It takes
advantage of the user-designed masks which can be inserted into FORS2 to allow
any two targets within the 6.8' x 6.8' field of view of FORS2 to be selected. A
number of integration, or more precisely 'wait', times are available, which
together with the high throughput GRISMs can observe the entire optical
spectrum on a range of timescales.


title: Time-Dependent Analysis of the Decay B0 --> rho0 rho0

abstract:
  We study the decay B0 --> rho0 rho0 in a sample of about 427 million
Upsilon(4S) --> BBbar decays collected with the BABAR detector at the PEP-II
asymmetric-energy e+e- collider at SLAC. We find the branching fraction
  B = (0.84 +/- 0.29 +/- 0.17)*1e-6 and longitudinal polarization fraction of
f_L = 0.70 +/- 0.14 +/- 0.05, where the first uncertainty is statistical, and
the second is systematic. The evidence for the B0 --> rho0 rho0 signal has 3.6
sigma significance. We investigate the proper-time dependence of the
longitudinal component in the decay and measure the CP-violating coefficients
S^{00}_L = 0.5 +/- 0.9 +/- 0.2 and C^{00}_L = 0.4 +/- 0.9 +/- 0.2,
corresponding to the sine and cosine terms in the time evolution of asymmetry.
We study the implication of these results for penguin contributions in B -->
rho rho decays and for the CKM unitarity angle alpha.


title:
Leading Order Calculation of Shear Viscosity in Hot Quantum
  Electrodynamics from Diagrammatic Methods

abstract:
  We compute the shear viscosity at leading order in hot Quantum
Electrodynamics. Starting from the Kubo relation for shear viscosity, we use
diagrammatic methods to write down the appropriate integral equations for
bosonic and fermionic effective vertices. We also show how Ward identities can
be used to put constraints on these integral equations. One of our main results
is an equation relating the kernels of the integral equations with functional
derivatives of the full self-energy; it is similar to what is obtained with
two-particle-irreducible effective action methods. However, since we use Ward
identities as our starting point, gauge invariance is preserved. Using these
constraints obtained from Ward identities and also power counting arguments, we
select the necessary diagrams that must be resummed at leading order. This
includes all non-collinear (corresponding to 2 to 2 scatterings) and collinear
(corresponding to 1+N to 2+N collinear scatterings) rungs responsible for the
Landau-Pomeranchuk-Migdal effect. We also show the equivalence between our
integral equations obtained from quantum field theory and the linearized
Boltzmann equations of Arnold, Moore and Yaffe obtained using effective kinetic
theory.


title:
Mechanical properties of the two-filament insulin amyloid fibril: a
  theoretical study

abstract:
  We study the two-filament insulin fibril's structure by incorporating recent
simulation results and mechanical measurements. Our investigation suggests that
the persistence length measurement correlates well with the previously proposed
structural model, while the elasticity measurement suggests that stretching the
fibril may involve hydrogen bond breakage. Our work illustrates an attempt to
correlate nanoscale measurements with microscopic information on the quaternary
protein structure.


title:
Charmed spectroscopy from a nonperturbatively determined relativistic
  heavy quark action in full QCD

abstract:
  We present a preliminary calculation of the charmed meson spectrum using the
2+1 flavor domain wall fermion lattice configurations currently being generated
by the RBC and UKQCD collaborations. The calculation is performed using the
3-parameter, relativistic heavy quark action with nonperturbatively determined
coefficients. We will also demonstrate a step-scaling procedure for determining
these coefficients nonperturbatively using a series of quenched, gauge field
ensembles generated for three different lattice spacings.


title: Kontsevich formality and PBW algebras

abstract:
  This paper is based on the author's paper "Koszul duality in deformation
quantization, I", with some improvements. In particular, an Introduction is
added, and the convergence of the spectral sequence in Lemma 2.1 is rigorously
proven. Some informal discussion in Section 1.5 is added.


title:
Gravitational brainwaves, quantum fluctuations and stochastic
  quantization

abstract:
  It is known that the biological activity of the brain involves radiation of
electric waves. These waves result from ionic currents and charges traveling
among the brain's neurons. But it is obvious that these ions and charges are
carried by their relevant masses which should give rise, according to the
gravitational theory, to extremely weak gravitational waves.
  We use in the following the stochastic quantization (SQ) theory to calculate
the probability to find a large ensemble of brains radiating similar
gravitational waves. We also use this SQ theory to derive the equilibrium state
related to the known Lamb shift.


title: HI and OH absorption in the lensing galaxy of MG J0414+0534

abstract:
  We report the detection of \HI 21-cm absorption in the $z=0.96$ early-type
lensing galaxy towards MG J0414+0534 with the Green Bank Telescope. The
absorption, with total $N_{\rm HI}=1.6 \times 10^{18} (T_{\rm s}/f) {\rm
cm}^{-2}$, is resolved into two strong components, probably due to the two
strongest lens components, which are separated by 0.4\arcsec. Unlike the other
three lenses which have been detected in \HI, J0414+0534 does not exhibit
strong OH absorption, giving a OH/\HI column density ratio of $N_{\rm
OH}/N_{\rm HI}\lapp10^{-6}$ (for $T_{\rm s}=100$ K, $T_{\rm x}=10$ K and
$f_{\rm HI}=f_{\rm OH}=1$). This underabundance of molecular gas may indicate
that the extreme optical--near-IR colour ($V-K=10.26$) along the line-of-sight
is not due to the lens. We therefore suggest that despite the strong upper
limits on molecular absorption at the quasar redshift, as traced by millimetre
lines, the extinction occurs primarily in the quasar host galaxy.


title:
Self-organization of heterogeneous topology and symmetry breaking in
  networks with adaptive thresholds and rewiring

abstract:
  We study an evolutionary algorithm that locally adapts thresholds and wiring
in Random Threshold Networks, based on measurements of a dynamical order
parameter. A control parameter $p$ determines the probability of threshold
adaptations vs. link rewiring. For any $p < 1$, we find spontaneous symmetry
breaking into a new class of self-organized networks, characterized by a much
higher average connectivity $\bar{K}_{evo}$ than networks without threshold
adaptation ($p =1$). While $\bar{K}_{evo}$ and evolved out-degree distributions
are independent from $p$ for $p <1$, in-degree distributions become broader
when $p \to 1$, approaching a power-law. In this limit, time scale separation
between threshold adaptions and rewiring also leads to strong correlations
between thresholds and in-degree. Finally, evidence is presented that networks
converge to self-organized criticality for large $N$.

categories: cond-mat.dis-nn cond-mat.stat-mech nlin.AO q-bio.MN


title:
Electrically controlled Bragg resonances of an ambichiral electro-optic
  structure: oblique incidence

abstract:
  The Pockels effect can increase the effective birefringence of ambichiral,
electro--optic rejection filters made of materials with a $\bar{4}2m$ point
group symmetry, when a dc electric field is applied parallel to the axis of
nonhomogeneity. The reflectances and the transmittances of such an ambichiral
structure for obliquely incident plane waves is solvable through a
boundary-value problem that is formulated using the frequency-domain Maxwell
equations, the constitutive equations that contain the Pockels effect, and
standard algebraic techniques for handling 4x4 matrix ordinary differential
equations. The Bragg resonance peaks, for different
circular-polarized-incidence conditions, blueshift as the angle of incidence
increases. These blueshifts are unaffected by the sign of the dc electric
field.


title:
Many-body generalization of the Z2 topological invariant for the quantum
  spin Hall effect

abstract:
  We propose a many-body generalization of the Z2 topological invariant for the
quantum spin Hall insulator, which does not rely on single-particle band
structures. The invariant is derived as a topological obstruction that
distinguishes topologically distinct many-body ground states on a torus. It is
also expressed as a Wilson-loop of the SU(2) Berry gauge field, which is
quantized due to the time-reversal symmetry.


title:
Suppression of electronic susceptibility in metal-Mott insulator
  alternating material, (Me-3,5-DIP)[Ni(dmit)2]2

abstract:
  Frequency shifts and nuclear relaxations of 13C NMR of the metal-insulator
alternating material, (Me-3,5-DIP)[Ni(dmit)2]2, are presented. The NMR
absorption lines originating from metallic and insulating layers are well
resolved, which evidences the coexistence of localized spins (\pi_loc) and
conduction \pi-electrons. The insulating layer is newly found to undergo
antiferromagnetic long range order at about 2.5 K, suggesting emergence of
S=1/2 Mott insulator. In the metallic layer, we found significant suppressions
of static and dynamical susceptibilities of conduction electrons below 35 K,
where antiferromagnetic correlation in the insulating layer evolves. We propose
a dynamical effect through strong \pi-\pi_loc coupling between the metallic and
insulating layers as an origin of the reduction of the density of states.


title: Approximating the monomer-dimer constants through matrix permanent

abstract:
  The monomer-dimer model is fundamental in statistical mechanics. However, it
is $#P$-complete in computation, even for two dimensional problems. A
formulation in matrix permanent for the partition function of the monomer-dimer
model is proposed in this paper, by transforming the number of all matchings of
a bipartite graph into the number of perfect matchings of an extended bipartite
graph, which can be given by a matrix permanent. Sequential importance sampling
algorithm is applied to compute the permanents. For two-dimensional lattice
with periodic condition, we obtain $ 0.6627\pm0.0002$, where the exact value is
$h_2=0.662798972834$. For three-dimensional lattice with periodic condition,
our numerical result is $ 0.7847\pm0.0014$, {which agrees with the best known
bound $0.7653 \leq h_3 \leq 0.7862$.}


title:
Total Reflection and Negative Refraction of Dipole-Exchange Spin Waves
  at Magnetic Interfaces: Micromagnetic Modeling Study

abstract:
  We demonstrated that dipole-exchange spin waves traveling in geometrically
restricted magnetic thin films satisfy the same laws of reflection and
refraction as light waves. Moreover, we found for the first time novel wave
behaviors of dipole-exchange spin waves such as total reflection and negative
refraction. The total reflection in laterally inhomogeneous thin films composed
of two different magnetic materials is associated with the forbidden modes of
refracted dipole-exchange spin waves. The negative refraction occurs at a 90
degree domain-wall magnetic interface that is introduced by a cubic magnetic
anisotropy in the media, through the anisotropic dispersion of dipole-exchange
spin waves.


title: Local Lorentz Transformation and "Lorentz Violation"

abstract:
  Some solutions to the anomalies of ultra high energy cosmic-ray(UHECR) and
TeV $\gamma$-rays require disturbed non-quadratic dispersion relations, which
suggest the Lorentz violation. Also, some new theories such as quantum gravity,
string theory and the standard model extension imply the Lorentz violation. In
this paper, we derive some transformation laws for the classical parameters of
nonlinear field system, and then provide their dispersion relations. These
dispersion relations also have non-quadratic form but keep the Lorentz
invariance. The analysis of this paper may be helpful for understanding the
quantum theory and the plausible Lorentz violation.


title:
Ricci curvature and geodesic flows stability in Riemannian twisted flux
  tubes

abstract:
  Ricci and sectional curvatures of twisted flux tubes in Riemannian manifold
are computed to investigate the stability of the tubes. The geodesic equations
are used to show that in the case of thick tubes, the curvature of planar
(Frenet torsion-free) tubes have the effect ct of damping the flow speed along
the tube. Stability of geodesic flows in the Riemannian twisted thin tubes
(almost filaments), against constant radial perturbations is investigated by
using the method of negative sectional curvature for unstable flows. No special
form of the flow like Beltrami flows is admitted, and the proof is general for
the case of thin tubes. It is found that for positive perturbations and angular
speed of the flow, instability is achieved, since the sectional Ricci curvature
of the twisted tube metric is negative.