title: On The Limitations of The Naive Lattice Decoding

abstract:
  In this paper, the inherent drawbacks of the naive lattice decoding for MIMO
fading systems is investigated. We show that using the naive lattice decoding
for MIMO systems has considerable deficiencies in terms of the rate-diversity
trade-off. Unlike the case of maximum-likelihood decoding, in this case, even
the perfect lattice space-time codes which have the non-vanishing determinant
property can not achieve the optimal rate-diversity trade-off. Indeed, we show
that in the case of naive lattice decoding, when we fix the underlying lattice,
all the codes based on full-rate lattices have the same rate-diversity
trade-off as V-BLAST. Also, we drive a lower bound on the symbol error
probability of the naive lattice decoding for the fixed-rate MIMO systems (with
equal numbers of receive and transmit antennas). This bound shows that
asymptotically, the naive lattice decoding has an unbounded loss in terms of
the required SNR, compared to the maximum likelihood decoding.


title: Circular law for non-central random matrices

abstract:
  Let $(X_{jk})_{j,k\geq 1}$ be an infinite array of i.i.d. complex random
variables, with mean 0 and variance 1. Let $\la_{n,1},...,\la_{n,n}$ be the
eigenvalues of $(\frac{1}{\sqrt{n}}X_{jk})_{1\leq j,k\leq n}$. The strong
circular law theorem states that with probability one, the empirical spectral
distribution $\frac{1}{n}(\de_{\la_{n,1}}+...+\de_{\la_{n,n}})$ converges
weakly as $n\to\infty$ to the uniform law over the unit disc
$\{z\in\dC;|z|\leq1\}$. In this short note, we provide an elementary argument
that allows to add a deterministic matrix $M$ to $(X_{jk})_{1\leq j,k\leq n}$
provided that $\mathrm{Tr}(MM^*)=O(n^2)$ and $\mathrm{rank}(M)=O(n^\al)$ with
$\al<1$. Conveniently, the argument is similar to the one used for the
non-central version of Wigner's and Marchenko-Pastur theorems.


title:
Steiner-Minkowski Polynomials of Convex Sets in High Dimension, and
  Limit Entire Functions

abstract:
  For a convex set (K) of the (n)-dimensional Euclidean space, the
Steiner-Minkowski polynomial (M_K(t)) is defined as the (n)-dimensional
Euclidean volume of the neighborhood of the radius (t). Being defined for
positive (t), the Steiner-Minkowski polynomials are considered for all complex
(t). The renormalization procedure for Steiner polynomial is proposed. The
renormalized Steiner-Minkowski polynomials corresponding to all possible solid
convex sets in all dimensions form a normal family in the whole complex plane.
For each of the four families of convex sets: the Euclidean balls, the cubes,
the regular cross-polytopes and the regular symplexes of dimensions (n), the
limiting entire functions, as (n) tends to infinity, are calculated explicitly.


title: Experimental Consequences of Regular Charge-Monopole Electrodynamics

abstract:
  This work points out an application of the regular theory of charge-monopole
electrodynamics to the new experiments of very high energy. Using this theory,
it is explained why the new regions of high energy interactions that will be
explored by CERN's Large Hadron Collider may show a significant increase of the
cross section. This conclusion illustrates the significance of the extension of
electrodynamics that takes the form of the regular charge-monopole theory.


title:
Thermally Assisted Current-Driven Bistable Precessional Regimes in
  Asymmetric Spin Valves

abstract:
  Spin-transfer torque in asymmetric spin valves can destabilize both parallel
and antiparallel configurations and can lead to precessional modes also in the
absence of an external magnetic field. We find a bistable precessional regime
in such systems and show that thermal fluctuations can excite transitions
(telegraph noise) between the corresponding oscillatory regimes that are well
separated by irreversible paths at low temperatures. Because of the thermally
induced transitions, the frequency of the resulting current-driven oscillations
is different from that obtained at very low temperatures. We also show that the
power spectrum in the bistable region is dominated by the out-of-plane
oscillatory mode.


title:
Comments on 'Controversy on a Dispersion Relation for MHD Waves' by
  Chandra and Kumthekar

abstract:
  We comment on the work by Chandra and Kumthekar (2007, henceforth CK) which
is questionable. In the derivation of dispersion relation, CK neither invoke
the concept of vector space nor do they follow the basic criterion for the
elimination of perturbation terms under which the damped magnetoacoustic waves
are derived.


title: Spectral Analysis of Central Stars of Planetary Nebulae

abstract:
  Spectral analysis by means of NLTE model atmospheres has presently arrived at
a high level of sophistication. High-resolution spectra of central stars of
planetary nebulae can be reproduced in detail from the infrared to the X-ray
wavelength range.
  In the case of LSV +4621, the exciting star of Sh 2-216, we demonstrate the
state-of-the-art in the determination of photospheric properties like, e.g.,
effective temperature, surface gravity, and abundances of elements from
hydrogen to nickel. From such detailed model atmospheres, we can reliably
predict the ionizing spectrum of a central star which is a necessary input for
the precise analysis of its ambient nebula.
  NLTE model-atmosphere spectra, however, are not only accessible for
specialists. In the framework of the German Astrophysical Virtual Observatory
(GAVO), we provide pre-calculated grids of tables with synthetic spectra of
hot, compact stars as well as a tool to calculate individual model-atmosphere
spectra in order to make the use of synthetic stellar spectra as easy as the
use of blackbody flux distributions had been in the last century.


title:
Two Higgs Bi-doublet Left-Right Model With Spontaneous P and CP
  Violation

abstract:
  A left-right symmetric model with two Higgs bi-doublet is shown to be a
consistent model for both spontaneous P and CP violation. The flavor changing
neutral currents can be suppressed by the mechanism of approximate global U(1)
family symmetry. We calculate the constraints from neural $K$ meson mass
difference $\Delta m_K$ and demonstrate that a right-handed gauge boson $W_2$
contribution in box-diagrams with mass well below 1 TeV is allowed due to a
cancellation caused by a light charged Higgs boson with a mass range $150 \sim
300$ GeV. The $W_2$ contribution to $\epsilon_K$ can be suppressed from
appropriate choice of additional CP phases appearing in the right-handed
Cabbibo-Kobayashi-Maskawa matrix. The model is also found to be fully
consistent with $B^0$ mass difference $\Delta m_B$, and the mixing-induced CP
violation quantity $\sin2\beta_{J/\psi}$, which is usually difficult for the
model with only one Higgs bi-doublet. The new physics beyond the standard model
can be directly searched at the colliders LHC and ILC.


title: SUSY-QCD Corrections to Dark Matter Annihilation in the Higgs Funnel

abstract:
  We compute the full O(alpha_s) SUSY-QCD corrections to dark matter
annihilation in the Higgs-funnel, resumming potentially large mu tan beta and
A_b contributions and keeping all finite O(m_b,s,1/tan^2 beta) terms. We
demonstrate numerically that these corrections strongly influence the
extraction of SUSY mass parameters from cosmological data and must therefore be
included in common analysis tools such as DarkSUSY or micrOMEGAs.


title:
Can the anomaly cancellation method derive a correct Hawking temperature
  of a Schwarzschild black hole in the isotropic coordinates ?

abstract:
  This paper has been withdrawn by the authors due to an incorrect statement on
the viability of the Robinson-Wilczek method when applied to the case when the
metric determinant vanishes at the horizon. This paper has been replaced by
arXiv:0803.1338 [hep-th].


title:
First robotic monitoring of a lensed quasar: intrinsic variability of
  SBS 0909+532

abstract:
  To go into the details about the variability of the double quasar SBS
0909+532, we designed a monitoring programme with the 2 m Liverpool Robotic
Telescope in the r Sloan filter, spanning 1.5 years from 2005 January to 2006
June. The r-band light curves of the A and B components, several
cross-correlation techniques and a large number of simulations (synthetic light
curves) lead to a robust delay of 49 +/- 6 days (1-sigma interval) that agrees
with our previous results (the B component is leading). Once the time delay and
the magnitude offset are known, the magnitude- and time-shifted light curve of
image A is subtracted from the light curve of image B. This difference light
curve of SBS 0909+532 is consistent with zero, so any possible extrinsic signal
must be very weak, i.e., the observed variability in A and B is basically due
to observational noise and intrinsic signal. We then make the combined light
curve and analyse its statistical properties (structure functions). The
structure function of the intrinsic luminosity is fitted to predictions of
simple models of two physical scenarios: accretion disc instabilities and
nuclear starbursts. Although no simple model is able to accurately reproduce
the observed trend, symmetric triangular flares in an accretion disc seems to
be the best option to account for it.


title: Dark matter as a geometric effect in f(R) gravity

abstract:
  We consider the behavior of the tangential velocity of test particles moving
in stable circular orbits in f(R) modified theories of gravity. A large number
of observations at the galactic scale have shown that the rotational velocities
of massive test particles (hydrogen clouds) tend towards constant values at
large distances from the galactic center. We analyze the vacuum gravitational
field equations in f(R) models in the constant velocity region, and the general
form of the metric tensor is derived in a closed form. The resulting
modification of the Einstein-Hilbert Lagrangian is of the form R^{1+n}, with
the parameter n expressed in terms of the tangential velocity. Therefore we
find that to explain the motion of test particles around galaxies requires only
very mild deviations from classical general relativity, and that modified
gravity can explain the galactic dynamics without the need of introducing dark
matter.


title: Quantum Informational Dark Energy: Dark energy from forgetting

abstract:
  We suggest that dark energy has a quantum informational origin. Landauer's
principle associated with the erasure of quantum information at a cosmic
horizon implies the non-zero vacuum energy having effective negative pressure.
Assuming the holographic principle, the minimum free energy condition, and the
Gibbons-Hawking temperature for the cosmic event horizon we obtain the
holographic dark energy with the parameter $d\simeq 1$, which is consistent
with the current observational data. It is also shown that both the
entanglement energy and the horizon energy can be related to Landauer's
principle.


title: The Ramsey number for a triple of large cycles

abstract:
  We find the asymptotic value of the Ramsey number for a triple of long
cycles, where the lengths of the cycles are large but may have different
parity.


title: On the possibility of P-violation at finite baryon-number densities

abstract:
  We show how the introduction of a finite baryon density may trigger
spontaneous parity violation in the hadronic phase of QCD. Since this involves
strong interaction physics in an intermediate energy range we approximate QCD
by a \sigma model that retains the two lowest scalar and pseudoscalar
multiplets. We propose a novel mechanism based on interplay between lightest
and heavy meson states which cannot be realized solely in the Goldstone boson
(pion) sector and thereby is unrelated to the one advocated by Migdal some time
ago. Our approach is relevant for dense matter in an intermediate regime of few
nuclear densities where quark percolation does not yet play a significant role.


title:
Interchangeability of Combined Piezoelectrooptic Effect in LiTaO3 and
  LiNbO3 Crystals

abstract:
  In the present paper the coefficients of piezooptic (PO), electrooptic (EO)
and combined piezoelectrooptic (PEO) effects for LiNbO3 and LiTaO3 crystals are
reported. It is shown that the combined PEO effect is interchangeable, i.e. its
coefficients determined independ-ently from the EO and PO experiments are the
same.


title: Electrooptic Effect in Non-Centrosymmetric CsLiB6O10 Borate Crystals

abstract:
  Electrooptic coefficient of CsLiB6O10 crystals has been experimentally
determined as r63=3.3*10-12m/V. The half-wave voltage for CsLiB6O10 (Ul/2=26
kV) is three orders of magnitude larger than that of the known KDP crystals.


title:
Combined Piezoelectrooptic Effect in Rochelle Salt at the Phase
  Transition

abstract:
  The results of study of piezoelectrooptic (PEO) effect in the course of
ferroelectric-ferroelastic phase transition in Rochelle salt crystals are
presented. The coefficient of the combined effect is obtained from measurements
of the changes in the electrooptic coefficients under the action of mechanical
stress and the changes in the piezooptic coefficients under the action of
electric field (or spontaneous polarization). It is shown experimentally that
the values of both coefficients are the same, as predicted by the theory. The
temperature dependence of the coefficient of combined PEO effect is obtained.
Its anomalous behaviour at the phase transition appears due to the dielectric
permitivity anomaly. It is also demonstrated that the change in the piezooptic
coefficients at the phase transition in Rochelle salt crystals may be
satisfactorily explained as a result of linear and quadratic PEO effect induced
by spontaneous polarization.


title:
Phase Coexistence in Cs3Bi2I9 Ferroelastics: Optical, Dilatation and
  Ultrasonic Velocity Studies

abstract:
  The results for dilatometric, ultrasonic velocity and the domain struct-ure
studies of Cs3Bi2I9 crystals in the course of ferroelastic phase trans-ition
are presented. It is shown that the phase transition in Cs3Bi2I9 is of the
first order. Basing on the thermal expansion results and the data obtained for
the elastic stiffness of Cs3Bi2I9 crystals, the latent heat Q=79J/kg at Tc is
calculated. The region between 183K and 221K (at cooling) is identified as a
heterostructure region, where ferroelastic and paraelastic phases coexist.


title: Acoustooptic Interaction in Barium Beta-Borate Crystals

abstract:
  Basing on the measurements of photoelastic coefficients, acoustic waves
velocities and the refractive indices, the possible geometries for acoustooptic
interaction in b-BaB2O4 crystals have been analysed. It has been shown that the
acoustooptic figure of merit achieves its maximum value when the transverse
acoustic wave v13 with the velocity 817m/s is propagated in YZ-plane. In this
case M2=95.35*10-15s3/kg.


title:
Once More About the "Forbidden" Domain Structure and the Isolated Point
  in K2Cd2xMn2(1-x)(SO4)3 Langbeinites

abstract:
  The domain structure in K2Cd2xMn2(1-x)(SO4)3 (x=0.5, 0.7 and 0.9) langbeinite
crystals is studied with the aid of optical polarization microscopy. It is
shown that the domain walls in ferro-elastic langbeinites separate
enantiomorphous orientation states. These orientation states appear in the
phase with the symmetry 23 in connection with the hypothetic phase transition .
In the phase with the symmetry 222, these domain walls are transformed to those
separating ferroelastic domains with the opposite signs of enantiomorphism. It
is revealed that one enantiomorphous domain can only transform to the other via
a thick layer of the parent phase with symmetry. The results for the volume
thermal expansion are presented. It is shown that the isolated point at the
x,T-phase diagram of K2Cd2xMn2(1-x)(SO4)3 solid solutions corresponds to the
concentration x=0.6.


title: Piezooptic Properties of beta-BaB2O4 and Li2B4O7 Crystals

abstract:
  Photoelastic coefficients of beta-BaB2O4 and Li2B4O7 crystals are calculated
on the basis of piezooptic measurements performed with interferometric
technique and the elastic compliance and stiffness data. Using the experimental
results, the acoustooptic (AO) figure of merit (FM) has been estimated for the
possible geometries of AO interaction. It is shown that the AO FM for the ABO
and LTB crystals reach respectively the values M2=243.4*10-15s3/kg and
M2=2.57*10-15s3/kg, if the interaction with the slowest ultrasonic waves
(v=933.5m/s and v=3173m/s) is concerned. The directions of propagation and
polarization of those acoustic waves are obtained on the basis of construction
of indicative surfaces of the acoustic wave velocities.


title:
Crystal Optical Properties of Inhomogeneous Plates and the Problems of
  Polarization Tomography of Photoelastic Materials

abstract:
  Using the Jones matrix formalism, crystal optical properties of inhomogeneous
material consisting of a pile of weakly birefringent plates are analysed in
relation to the cell model adopted in polarization tomography of 3D dielectric
tensor field in photoelastic media. It is shown that the material manifests in
general an "apparent" optical gyration caused by different orientations of the
plates. Relations between the polarimetric parameters and the dielectric tensor
components are ascertained for the case of weak optical anisotropy.


title:
An intermediate baryon system formation and the angular distributions of
  the slow particles emitted in hadron-nuclear and nuclear-nuclear interactions
  at high energies

abstract:
  We have analyzed the angular distributions of the b- particles emitted in
Kr+Em -reaction at 0.95 A GeV and in Au+Em -reaction at 10.7 A GeV and compared
these with lighter projectile experiments for which some structure in the
angular distribution of slow particles was observed. The same structure for the
b-particles almost disappears by increasing the projectile mass. We believe
that it is connected with increasing rates of internuclear secondary
interactions which could lead mainly to disappearance of the information about
intermediate baryon system formation. We suggest that it should be taken into
account at event generation for heavy ion interactions to restore the
information on the intermediate baryon system formation.


title: Anomalous Hall effect in (In,Mn)Sb dilute magnetic semiconductor

abstract:
  High magnetic field study of Hall resistivity in the ferromagnetic phase of
(In,Mn)Sb allows one to separate its normal and anomalous components. We show
that the anomalous Hall term is not proportional to the magnetization, and that
it even changes sign as a function of magnetic field. We also show that the
application of pressure modifies the scattering process, but does not influence
the Hall effect. These observations suggest that the anomalous Hall effect in
(In,Mn)Sb is an intrinsic property and support the application of the Berry
phase theory for (III,Mn)V semiconductors. We propose a phenomenological
description of the anomalous Hall conductivity, based on a field-dependent
relative shift of the heavy- and light-hole valence bands and the split-off
band.


title:
Estimates for parameters and characteristics of the confining
  SU(3)-gluonic field in $\eta$-meson from two-photon decay

abstract:
  On the basis of the confinement mechanism earlier proposed by author, the
electric form factor of $\eta$-meson is nonperturbatively calculated. The
latter is then applied to describe electromagnetic decay $\eta\to2\gamma$ which
entails estimates for parameters of the confining SU(3)-gluonic field in
$\eta$-meson. The corresponding estimates of the gluon concentrations, electric
and magnetic colour field strengths are also adduced for the mentioned field.


title:
GRB060602B = Swift J1749.4-2807: an unusual transiently accreting
  neutron-star X-ray binary

abstract:
  We present an analysis of the Swift BAT and XRT data of GRB060602B, which is
most likely an accreting neutron star in a binary system and not a gamma-ray
burst. Our analysis shows that the BAT burst spectrum is consistent with a
thermonuclear flash (type-I X-ray burst) from the surface of an accreting
neutron star in a binary system. The X-ray binary nature is further confirmed
by the report of a detection of a faint point source at the position of the XRT
counterpart of the burst in archival XMM-Newton data approximately 6 years
before the burst and in more recent XMM-Newton data obtained at the end of
September 2006 (nearly 4 months after the burst). Since the source is very
likely not a gamma-ray burst, we rename the source Swift J1749.4-2807, based on
the Swift/BAT discovery coordinates. Using the BAT data of the type-I X-ray
burst we determined that the source is at most at a distance of 6.7+-1.3 kpc.
For a transiently accreting X-ray binary its soft X-ray behaviour is atypical:
its 2-10 keV X-ray luminosity (as measured using the Swift/XRT data) decreased
by nearly 3 orders of magnitude in about 1 day, much faster than what is
usually seen for X-ray transients. If the earlier phases of the outburst also
evolved this rapidly, then many similar systems might remain undiscovered
because the X-rays are difficult to detect and the type-I X-ray bursts might be
missed by all sky surveying instruments. This source might be part of a class
of very-fast transient low-mass X-ray binary systems of which there may be a
significant population in our Galaxy.


title: Anisotropy of Laser-Induced Bulk Damage of Single Crystals

abstract:
  The regularities of laser-induced damage of anisotropic materials, such as
LiNbO3 and KDP dielectric single crystals, are experimentally studied. It is
revealed that the shape of laser-induced damage in the dielectric crystals
depends on the elastic symmetry of crystal and the propagation direction of the
laser beam. When the beam propagates along the optic axis of crystals, the
figures of the laser damage are six-path stars for LiNbO3 and four-path ones
for KDP crystals. For the direction parallel to X and Y axes in KDP crystal,
the damage has initially cross-like configuration, with further splitting of
Z-oriented crack into two cracks in the process of damage evolution, leading to
transformation of orthogonal-type damage to a hexagonal-type one.


title:
Hypergraph-theoretic charaterizations for LOCC incomparable ensembles of
  multipartite CAT states

abstract:
  Using graphs and hypergraphs to systematically model collections of arbitrary
subsets of parties representing {\it ensembles (or collections)} of shared
multipartite CAT states, we study transformations between such {\it ensembles}
under {\it local operations and classical communication (LOCC)}. We show using
partial entropic criteria, that any two such distinct ensembles represented by
{\it $r$-uniform hypergraphs} with the same number of hyperedges (CAT states),
are LOCC incomparable for even integers $r\geq 2$, generalizing results in
\cite{mscthesis,sin:pal:kum:sri}. We show that the cardinality of the largest
set of mutually LOCC incomparable ensembles represented by $r$-uniform
hypergraphs for even $r\geq 2$, is exponential in the number of parties. We
also demonstrate LOCC incomparability between two ensembles represented by
3-uniform hypergraphs where partial entropic criteria do not help in
establishing incomparability. Further we characterize LOCC comparability of EPR
graphs in a model where LOCC is restricted to teleportation and edge
destruction. We show that this model is equivalent to one in which LOCC
transformations are carried out through a sequence of operations where each
operation adds at most one new EPR pair.


title:
On the distribution of conjugacy classes between the cosets of a finite
  group in a cyclic extension

abstract:
  Let G be a finite group and H a normal subgroup such that G/H is cyclic.
Given a conjugacy class g^G of G we define its centralizing subgroup to be
HC_G(g). Let K be such that H\le K\le G. We show that the G-conjugacy classes
contained in K whose centralizing subgroup is K, are equally distributed
between the cosets of H in K. The proof of this result is entirely elementary.
As an application we find expressions for the number of conjugacy classes of K
under its own action, in terms of quantities relating only to the action of G.


title: Renormalized Wick expansion for a modified PQCD

abstract:
  The renormalization scheme for the Wick expansion of a modified version of
the perturbative QCD introduced in previous works is discussed. Massless QCD is
considered, by implementing the usual multiplicative scaling of the gluon and
quark wave functions and vertices. However, also massive quark and gluon
counter-terms are allowed in this mass less theory since the condensates are
expected to generate masses. A natural set of expansion parameters of the
physical quantities is introduced: the coupling itself and to masses $m_q$ and
$m_g$ associated to quarks and gluons respectively. This procedure allows to
implement a dimensional transmutation effect through these new mass scales. A
general expression for the new generating functional in terms of the mass
parameters $m_q$ and $m_g$ is obtained in terms of integrals over arbitrary but
constant gluon or quark fields in each case. Further, the one loop potential,
is evaluated in more detail in the case when only the quark condensate is
retained. This lowest order result again indicates the dynamical generation of
quark condensates in the vacuum.


title:
Modelling of the influence of nanostructures' sizes on lattice
  parameters

abstract:
  Computer modeling of formation of the one-dimensional and three-dimensional
monatomic nanostructures by the method of atom-atom potentials was done. The
arrangement of atoms was defined on the basis of the energy minimum. Our
calculations have shown that the distance between the nearest atoms depends on
number of atoms, thus atoms on boundary of grains of nanoparticles have more
loose packing than in the volume. In three-dimensional nanostructures at
reduction of their sizes increase of the disorder of atoms on positions is
observed. Examination of model nanostructures constructed of bi-atomic
molecules was also carried out. It is shown that distance between the nearest
molecules and their orientation depend on number of molecules surrounding them.
Molecules on boundary of grains of nanoparticles have more friable packing than
in the volume. As in the linear chain, and three-dimensional nanostructures
constructed of bi-atomic molecules, not only the disorder on positions of
molecules depending on the sizes of nanoparticles, but also the orientation
disorder is observed. At increase of the sizes of nanostructures the lattice in
volume becomes more ordered than on boundaries of nanoparticles grains.


title:
Dimensional asymptotics of effective actions on S^n, and proof of
  B\"ar-Schopka's conjecture

abstract:
  We study the dimensional asymptotics of the effective actions, or functional
determinants, for the Dirac operator D and Laplacians \Delta +\beta R on round
S^n. For Laplacians the behavior depends on ``the coupling strength'' \beta,
and one cannot in general expect a finite limit of \zeta'(0), and for the
ordinary Laplacian, \beta=0, we prove it to be +\infty, for odd dimensions. For
the Dirac operator, B\"ar and Schopka conjectured a limit of unity for the
determinant ([BS]), i.e. \lim_{n\to\infty}\det(D, S^n_{\mathrm{can}})=1.
  We prove their conjecture rigorously, giving asymptotics, as well as a
pattern of inequalities satisfied by the determinants. The limiting value of
unity is a virtue of having ``enough scalar curvature'' and no kernel. Thus for
the important (conformally covariant) Yamabe operator, \beta=(n-2)/(4(n-1)),
the determinant tends to unity.
  For the ordinary Laplacian it is natural to rescale spheres to unit volume,
since \lim_{k\to\infty}\det(\Delta, S_\mathrm{rescaled}^{2k+1})=\frac{1}{2\pi
e}.


title: Off-Shell and Interference Effects for SUSY Particle Production

abstract:
  We show that the narrow-width approximation is insufficient for describing
production of supersymmetric particles at the ILC. Especially when cuts are
taken into account to extract signals using the narrow-width approximation can
be wrong by an order of magnitude.


title:
On the statistical physics of metastable and non-equilibrium stationary
  states

abstract:
  The optimization problems defining meta-stable or stationary equilibrium are
explored. The Gibbs scheme is modified aiming to describe the statistical
properties of a class of non-equilibrium and metastable states. The system is
assumed to maximize the usual definition of the Entropy, subject to the
standard constant energy and norm restrictions, plus additional constraints.
The central assumption is that the existence of the considered metastable state
is determined by the action of this additional dynamical constraint, that
blocks the evolution of the system up to its maximum Entropy state, thus
maintaining it in the metastable or stationary configuration. After requiring
from the statistical description to be valid for the combination of two nearly
independent subsystems, it follows that the eigenvalues of the constraint
operators C should have the restricted homogeneous form C(p{i})=p{i}^{q}, in
terms of the eigenvalues of the density matrix p{i}, where q is a fixed real
number. Therefore, the distribution of the eigenvalues of the constraint
function have the Tsallis structure. This conclusion suggests the
interpretation of the q parameter as reflecting the homogeneous dependence of
the constraint determining the metastable state on the density matrix. An
application to the plasma experiments of Huang and Driscoll is expected to be
considered elsewhere in order to compare the results with Tsallis scheme and
the minimal Enstrophy one.


title: Origin of supermassive black holes

abstract:
  The origin of supermassive black holes in the galactic nuclei is quite
uncertain in spite of extensive set of observational data. We review the known
scenarios of galactic and cosmological formation of supermassive black holes.
The common drawback of galactic scenarios is a lack of time and shortage of
matter supply for building the supermassive black holes in all galaxies by
means of accretion and merging. The cosmological scenarios are only
fragmentarily developed but propose and pretend to an universal formation
mechanism for supermassive black holes.


title: Theta Series Associated with the Weil-Schroedinger Representation

abstract:
  The Weil representation discovered by Andre Weil plays an important role in
the study of the tranformation properties of theta series. In this paper, we
define the Weil-Schroedinger representation of the Jacobi group and prove that
the theta series associated with the Weil-Schroedinger representation is a
Jacobi form with respect to a suitable arithmetic subgroup of the Jacobi
modular group.


title: Quasi-Anosov diffeomorphisms of 3-manifolds

abstract:
  In 1969, Hirsch posed the following problem: given a diffeomorphism, and a
compact invariant hyperbolic set, describe its topology and restricted
dynamics. We solve the problem where the hyperbolic invariant set is a closed
3-manifold: if the manifold is orientable, then it is a connected sum of tori
and handles; otherwise it is a connected sum of tori and handles quotiented by
involutions. The dynamics of the diffeomorphisms restricted to these manifolds,
called quasi-Anosov diffeomorphisms, is also classified: it is the connected
sum of DA-diffeomorphisms, quotiented by commuting involutions.


title: Static Universe model existing due to the Matter-Dark Energy coupling

abstract:
  The work investigate a static, isotropic and almost homogeneous Universe
containing a real scalar field modeling the Dark-Energy (quintaessence)
interacting with pressureless matter. It is argued that the interaction between
matter and the Dark Energy, is essential for the very existence of the
considered solution. Assuming the possibility that Dark-Energy can be furnished
by the Dilaton (a scalar field reflecting the condensation of string states
with zero angular momentum) we fix the value of scalar field at the origin to
the Planck scale. It became possible to fix the ratio of the amount of Dark
Energy to matter energy, in the currently estimated value 0.7/0.3, and also the
observed magnitude of the Hubble constant. The value of the mass for the scalar
field chosen for fixing the above ratio and Hubble effect strength, results to
be of the order of 10^{-29}cm^{-1}, a small mass which seems to be compatible
with the zero mass of the Dilaton in the lowest approximations.


title: Submerged turbulence detection with optical satellites

abstract:
  During fall periods in 2002, 2003 and 2004 three major oceanographic
expeditions were carried out in Mamala Bay, Hawaii. These were part of the RASP
Remote Anthropogenic Sensing Program. Ikonos and Quickbird optical satellite
images of sea surface glint revealed ~100 m spectral anomalies in km^2
averaging patches in regions leading from the Honolulu Sand Island Municipal
Outfall diffuser to distances up to 20 km. To determine the mechanisms behind
this phenomenon, the RASP expeditions monitored the waters adjacent to the
outfall with an array of hydrographic, optical and turbulence microstructure
sensors in anomaly and ambient background regions. Drogue tracks and mean
turbulence parameters for 2x10^4 microstructure patches were analyzed to
understand complex turbulence, fossil turbulence and zombie turbulence
near-vertical internal wave transport processes. The dominant mechanism appears
to be generic to stratified natural fluids including planet and star
atmospheres and is termed beamed zombie turbulence maser action (BZTMA). Most
of the bottom turbulent kinetic energy is converted to ~100 m fossil turbulence
waves. These activate secondary (zombie) turbulence in outfall fossil
turbulence patches that transmit heat, mass, chemical species, momentum and
information vertically to the sea surface for detection in an efficient maser
action. The transport is beamed in intermittent mixing chimneys.


title:
Final state hadronic interactions and non-resonant $B^\pm\to
  K^\pm\pi^+\pi^-$ decays

abstract:
  We evaluate the non-resonant decay amplitude of the process $B^\pm\to
K^\pm\pi^+ \pi^-$ using an approach based on final state hadronic interactions
described in terms of meson exchanges. We conclude that this mechanism
generates inhomogeneities in the Dalitz plot of the B decay.


title: Entropy calculation for a toy black hole

abstract:
  In this note we carry out the counting of states for a black hole in loop
quantum gravity, however assuming an equidistant area spectrum. We find that
this toy-model is exactly solvable, and we show that its behavior is very
similar to that of the correct model. Thus this toy-model can be used as a nice
and simplifying `laboratory' for questions about the full theory.


title: Dependence of nuclear binding on hadronic mass variation

abstract:
  We examine how the binding of light ($A\leq 8$) nuclei depends on possible
variations of hadronic masses, including meson, nucleon, and nucleon-resonance
masses. Small variations in hadronic masses may have occurred over time; the
present results can help evaluate the consequences for big bang
nucleosynthesis. Larger variations may be relevant to current attempts to
extrapolate properties of nucleon-nucleon interactions from lattice QCD
calculations. Results are presented as derivatives of the energy with respect
to the different masses so they can be combined with different predictions of
the hadronic mass-dependence on the underlying current-quark mass $m_q$. As an
example, we employ a particular set of relations obtained from a study of
hadron masses and sigma terms based on Dyson-Schwinger equations and a
Poincar\'{e}-covariant Faddeev equation for confined quarks and diquarks. We
find that nuclear binding decreases moderately rapidly as the quark mass
increases, with the deuteron becoming unbound when the pion mass is increased
by $\sim$60% (corresponding to an increase in $X_q=m_q/\Lambda_{QCD}$ of 2.5).
In the other direction, the dineutron becomes bound if the pion mass is
decreased by $\sim$15% (corresponding to a reduction of $X_q$ by $\sim$30%). If
we interpret the disagreement between big bang nucleosynthesis calculations and
measurements to be the result of variation in $X_q$, we obtain an estimate
$\delta X_q/X_q=K \cdot (0.013 \pm 0.002)$ where $K \sim 1$ (the expected
accuracy in $K$ is about a factor of 2). The result is dominated by $^7$Li
data.


title: Holding strategies in a bus-route model

abstract:
  A major source of delays in public transportation is the clustering
instability, which causes late buses to become progressively later while the
buses trailing it become progressively earlier. In this paper, we study this
instability and how to neutralize it using the common practices of holding and
schedule slack. Starting with an on-time route, we delay one or more buses at a
single stop, and determine how these delays grow over time. We compare the
effects of two different types of holding on the stability of the system, and
briefly investigate how our results change with the use of timepoints.


title:
Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square
  ring

abstract:
  We re-express the Rashba and Dresselhaus interactions as non-Abelian
spin-orbit gauges and provide a new perspective in understanding the persistent
spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting
system can be transformed into a free electron gas in the equal-strength
Rashba-Dresselhaus [001] linear model, the Dresselhaus [110] linear model, and
a one-dimensional system. A general tight-binding Hamiltonian for non-uniform
spin-orbit interactions and hoppings along arbitrary directions, within the
framework of finite difference method, is obtained. As an application based on
this Hamiltonian, a quantum square ring in contact with two ideal leads is
found to exhibit four states, insulating, spin-filtering, spin-flipping, and
spin-keeping states.


title: Magneto-Acoustic Spectroscopy in Superfluid 3He-B

abstract:
  We have used the recently discovered acoustic Faraday effect in superfluid
3He to perform high resolution spectroscopy of an excited state of the
superfluid condensate. With acoustic cavity interferometry we measure the
rotation of the plane of polarization of a transverse sound wave propagating in
the direction of magnetic field from which we determine the Zeeman energy of
the excited state. We interpret the Lande g-factor, combined with the
zero-field energies of the state, using the theory of Sauls and Serene to
calculate the strength of f -wave interactions in 3He.


title: Photospheric processes and magnetic flux tubes

abstract:
  In the first part of these lecture notes, new high-resolution observations of
small-scale magnetic flux concentrations are presented and compared to results
from new three-dimensional magnetohydrodynamic simulations. Special attention
is paid to the physics of faculae and to new three-dimensional radiation
magnetohydrodynamic simulations of the integral layers from the top of the
convection zone to the mid-chromosphere.
  The second part is devoted to a few basic properties of magnetic flux tubes,
which can be considered to be an abstraction of the more complicated flux
concentrations known from observations and numerical simulations. We treat
electrical current sheets, the mechanical equilibrium condition at magnetic
interfaces, the equations for constructing a magnetohydrostatic flux tube
embedded in a gravitationally stratified atmosphere, the condition of radiative
equilibrium, and the condition for interchange stability.


title: Observational signatures of Jordan-Brans-Dicke theories of gravity

abstract:
  We analyze the Jordan-Brans-Dicke model (JBD) of gravity, where deviations
from General Relativity (GR) are described by a scalar field non-minimally
coupled to gravity. The theory is characterized by a constant coupling
parameter, $\omega_{\rm JBD}$; GR is recovered in the limit $\omega_{\rm JBD}
\to \infty$. In such theories, gravity modifications manifest at early times,
so that one cannot rely on the usual approach of looking for inconsistencies in
the expansion history and perturbations growth in order to discriminate between
JBD and GR. However, we show that a similar technique can be successfully
applied to early and late times observables instead. Cosmological parameters
inferred extrapolating early-time observations to the present will match those
recovered from direct late-time observations only if the correct gravity theory
is used. We use the primary CMB, as will be seen by the Planck satellite, as
the early-time observable; and forthcoming and planned Supernov{\ae}, Baryonic
Acoustic Oscillations and Weak Lensing experiments as late-time observables. We
find that detection of values of $\omega_{\rm JBD}$ as large as 500 and 1000 is
within reach of the upcoming (2010) and next-generation (2020) experiments,
respectively.


title:
Embedding of the Lie superalgebra $D(2, 1 ; \alpha)$ into the Lie
  superalgebra of pseudodifferential symbols on $S^{1|2}$

abstract:
  We obtain an embedding of a one-parameter family of exceptional simple Lie
superalgebras $D(2, 1 ; \alpha)$ into the Lie superalgebra of
pseudodifferential symbols on the supercircle $S^{1|2}$. Correspondingly, there
is an embedding of $D(2, 1 ; \alpha)$ into a nontrivial central extension of
the derived contact superconformal algebra $K'(4)$ realized in terms of
$4\times 4$ matrices over a Weyl algebra.


title: A Fixed Point Conjecture

abstract:
  Inverse limits, unlike direct limits, can in general be void, [1]. The
existence of fixed points for arbitrary mappings $T : X \longrightarrow X$ is
conjectured to be equivalent with the fact that related direct limits of all
finite partitions of X are not void.


title:
Sodium vacancy ordering and the co-existence of localized spins and
  itinerant charges in NaxCoO2

abstract:
  The sodium cobaltate family (NaxCoO2) is unique among transition metal oxides
because the Co sits on a triangular lattice and its valence can be tuned over a
wide range by varying the Na concentration x. Up to now detailed modeling of
the rich phenomenology (which ranges from unconventional superconductivity to
enhanced thermopower) has been hampered by the difficulty of controlling pure
phases. We discovered that certain Na concentrations are specially stable and
are associated with superlattice ordering of the Na clusters. This leads
naturally to a picture of co-existence of localized spins and itinerant charge
carriers. For x = 0.84 we found a remarkably small Fermi energy of 87 K. Our
picture brings coherence to a variety of measurements ranging from NMR to
optical to thermal transport. Our results also allow us to take the first step
towards modeling the mysterious ``Curie-Weiss'' metal state at x = 0.71. We
suggest the local moments may form a quantum spin liquid state and we propose
experimental test of our hypothesis.


title: A wildland fire model with data assimilation

abstract:
  A wildfire model is formulated based on balance equations for energy and
fuel, where the fuel loss due to combustion corresponds to the fuel reaction
rate. The resulting coupled partial differential equations have coefficients
that can be approximated from prior measurements of wildfires. An ensemble
Kalman filter technique with regularization is then used to assimilate
temperatures measured at selected points into running wildfire simulations. The
assimilation technique is able to modify the simulations to track the
measurements correctly even if the simulations were started with an erroneous
ignition location that is quite far away from the correct one.


title:
Research News -- Quantum Mechanical Entanglement and Tests of CPT
  Theorem with Neutral Mesons at e+ e- Colliders

abstract:
  We review the recent confirmation of quantum entanglement in e+ e- collisions
at the BELLE experiment at KEK-B in Japan with neutral B- mesons, and at the
KLOE experiment at the DAFNE in Italy with neutral K- mesons. Such effects in
the latter system seen already in proton-antiproton collisions by the CPLEAR
experiment are also reviewed for purposes of comparison. In addition, the KLOE
experiment provides new tests of the CPT theorem and are briefly discussed.

categories: physics.pop-ph hep-ph physics.ed-ph quant-ph


title: Revisiting Quaternionic Dual Electrodynamics

abstract:
  Dual electrodynamics and corresponding Maxwell's equations (in the presence
of monopole only) are revisited from dual symmetry and accordingly the
quaternionic reformulation of field equations and equation of motion is
developed in simple, compact and consistent manner.


title: New q-Euler numbers and polynomials associated with p-adic q-integrals

abstract:
  In this paper we study q-Euler numbers and polynomials by using p-adic
q-fermionic integrals on Z_p. The methods to study q-Euler numbers and
polynomials in this paper are new.


title:
Accretion onto the Companion of Eta Carinae During the Spectroscopic
  Event. V. the Infrared Decline

abstract:
  We propose that the decline in the near-IR flux from the massive binary
system Eta Carinae during the spectroscopic event might be explained by
accreted mass that absorbs the radiation from the secondary star, and by that
reduces the heating of the dust that is responsible for the near-IR emission.
This binary system has an orbital period of 2024 days and eccentricity of
e~0.9. The emission in several bands declines for several weeks near every
periastron passages, in what is termed the spectroscopic event. In the
accretion model for the spectroscopic event the secondary star accretes mass
from the primary's wind for ~10 weeks near every periastron passage. The mass
is accreted mainly in the equatorial plane. The disk and its wind block the
secondary's radiation from heating dust that does not reside within narrow
cones along the symmetry axis. This, we propose, might explain the decline in
the near-IR flux occurring at the beginning of each spectroscopic event. We
also argue that the increase in the near-IR prior to the event might be
accounted for by enhanced hot (T~1700 K) dust formation in the collision region
of the winds from the two stars. This dust resides within ~60 degrees from the
equatorial plane, and most of it cannot be heated by the secondary during the
accretion phase.


title: Gaseous Flows in Galaxies

abstract:
  The gas component plays a major role in the dynamics of spiral galaxies,
because of its dissipative character, and its ability to exchange angular
momentum with stars in the disk. Due to its small velocity dispersion, it
triggers gravitational instabilities, and the corresponding non-axisymmetric
patterns produce gravity torques, which mediate these angular momentum
exchanges. When a srong bar pattern develops with the same pattern speed all
over the disk, only gas inside corotation can flow towards the center. But
strong bars are not long lived in presence of gas, and multiple-speed spiral
patterns can develop between bar phases, and help the galaxy to accrete
external gas flowing from cosmic filaments. The gas is then intermittently
driven to the galaxy center, to form nuclear starbursts and fuel an active
nucleus. The various time-scales of these gaseous flows are described.


title: Theorie ergodique des fractions rationnelles sur un corps ultrametrique

abstract:
  We make the first steps towards an understanding of the ergodic properties of
a rational map defined over a complete algebraically closed non-archimedean
field. For such a rational map R, we construct a natural invariant probability
measure m_R which reprensents the asymptotic distribution of preimages of
non-exceptional point. We show that this measure is exponentially mixing, and
satisfies the central limit theorem. We prove some general bounds on the metric
entropy of m_R, and on the topological entropy of R. We finally prove that
rational maps with vanishing topological entropy have potential good reduction.


title: Data formats for numerical relativity waves

abstract:
  This document proposes data formats to exchange numerical relativity results,
in particular gravitational waveforms. The primary goal is to further the
interaction between gravitational-wave source modeling groups and the
gravitational-wave data-analysis community. We present a simple and extendable
format which is applicable to various kinds of gravitational wave sources
including binaries of compact objects and systems undergoing gravitational
collapse, but is nevertheless sufficiently general to be useful for other
purposes.


title:
Nonresonant microwave absorption in epitaxial La-Sr-Mn-O films and its
  relation to colossal magnetoresistance

abstract:
  We study magnetic-field-dependent nonresonant microwave absorption and
dispersion in thin La$_{0.7}$Sr$_{0.3}$MnO$_{3}$ films and show that it
originates from the colossal magnetoresistance. We develop the model for
magnetoresistance of a thin ferromagnetic film in oblique magnetic field. The
model accounts fairly well for our experimental findings, as well as for
results of other researchers. We demonstrate that nonresonant microwave
absorption is a powerful technique that allows contactless measurement of
magnetic properties of thin films, including magnetoresistance, anisotropy
field and coercive field.


title:
8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative
  gauge theory

abstract:
  Observing that the Hamiltonian of the renormalisable scalar field theory on
4-dimensional Moyal space A is the square of a Dirac operator D of spectral
dimension 8, we complete (A,D) to a compact 8-dimensional spectral triple. We
add another Connes-Lott copy and compute the spectral action of the
corresponding U(1)-Yang-Mills-Higgs model. We find that in the Higgs potential
the square \phi^2 of the Higgs field is shifted to \phi * \phi + const X_\mu *
X^\mu, where X_\mu is the covariant coordinate. The classical field equations
of our model imply that the vacuum is no longer given by a constant Higgs
field, but both the Higgs and gauge fields receive non-constant vacuum
expectation values.


title: The magic functions and automorphisms of a domain

abstract:
  We introduce the notion of magic functions of a general domain in
d-dimensional complex space and show that the set of magic functions of a given
domain is an intrinsic complex-geometric object. We determine the set of magic
functions of the symmetrised bidisc G, and thereby find all automorphisms of G
and a formula for the Caratheodory distance on G.


title:
Identification of NeVIII lines in H-deficient (pre-) white dwarfs: a new
  tool to constrain the temperature of the hottest stars

abstract:
  For the first time, we have identified NeVIII absorption lines in far-UV
spectra of the hottest known (Teff>150,000 K) hydrogen-deficient (pre-) white
dwarfs of spectral type PG1159. They are of photospheric origin and can be
matched by synthetic non-LTE line profiles. We also show that a number of UV
and optical emission lines in these stars can be explained as being
photospheric NeVIII features and not, as hitherto suspected, as ultrahigh
ionised OVIII lines created along shock-zones in the stellar wind.
Consequently, we argue that the long-standing identification of the same
emission lines in hot [WR]-type central stars as being due to ultrahigh-ionised
species (OVII-VIII, CV-VI) must be revised. These lines can be entirely
attributed to thermally excited species (NeVII-VIII, NV, OVI). Photospheric
NeVIII lines are also identified in the hottest known He-rich white dwarf
KPD0005+5106 some of which were also attributed to OVIII previously. This is a
surprise because it must be concluded that KPD0005+5106 is much hotter
(Teff=200,000 K) than hitherto assumed (Teff=120,000 K). This is confirmed by a
re-assessment of the HeII line spectrum. We speculate that the temperature is
high enough to explain the mysterious, hard X-ray emission (1 keV) as being of
photospheric origin.


title: WMAP-Compliant Benchmark Surfaces for MSSM Higgs Bosons

abstract:
  We explore `benchmark surfaces' suitable for studying the phenomenology of
Higgs bosons in the minimal supersymmetric extension of the Standard Model
(MSSM), which are chosen so that the supersymmetric relic density is generally
compatible with the range of cold dark matter density preferred by WMAP and
other observations. These benchmark surfaces are specified assuming that
gaugino masses m_{1/2}, soft trilinear supersymmetry-breaking parameters A_0
and the soft supersymmetry-breaking contributions m_0 to the squark and slepton
masses are universal, but not those associated with the Higgs multiplets (the
NUHM framework). The benchmark surfaces may be presented as M_A-tan_beta planes
with fixed or systematically varying values of the other NUHM parameters, such
as m_0, m_{1/2}, A_0 and the Higgs mixing parameter mu. We discuss the
prospects for probing experimentally these benchmark surfaces at the Tevatron
collider, the LHC, the ILC, in B physics and in direct dark-matter detection
experiments. An Appendix documents developments in the FeynHiggs code that
enable the user to explore for her/himself the WMAP-compliant benchmark
surfaces.


title: The road coloring problem

abstract:
  The synchronizing word of deterministic automaton is a word in the alphabet
of colors (considered as letters) of its edges that maps the automaton to a
single state. A coloring of edges of a directed graph is synchronizing if the
coloring turns the graph into deterministic finite automaton possessing a
synchronizing word.
  The road coloring problem is a problem of synchronizing coloring of directed
finite strongly connected graph with constant outdegree of all its vertices if
the greatest common divisor of lengths of all its cycles is one. The problem
was posed by Adler, Goodwyn and Weiss over 30 years ago and evoked a noticeable
interest among the specialists in theory of graphs, deterministic automata and
symbolic dynamics. The problem is described even in "Wikipedia" - the popular
Internet Encyclopedia. The positive solution of the road coloring problem is
presented.


title: Saturation effects in elastic scattering at the LHC

abstract:
  The problems linked to the extraction of the basic parameters of the hadron
elastic scattering amplitude at the LHC are explored. The impact of the Black
Disk Limit (BDL)$-$ which constitutes a new regime of the scattering processes
  - on the determination of these values is examined.


title: Heegaard genus and Property 'tau' for hyperbolic 3-manifolds

abstract:
  We show that any finitely generated non-elementary Kleinian group has a
co-final family of finite index normal subgroups with respect to which it has
Property $\tau$. As a consequence, any closed hyperbolic 3-manifold has a
co-final family of finite index normal subgroups for which the infimal Heegaard
gradient is positive.


title: Towards the First Galaxies

abstract:
  The formation of the first galaxies at redshifts z~10-15 signaled the
transition from the simple initial state of the universe to one of ever
increasing complexity. We here review recent progress in understanding their
assembly process with numerical simulations, starting with cosmological initial
conditions and modelling the detailed physics of star formation. In particular,
we study the role of HD cooling in ionized primordial gas, the impact of UV
radiation produced by the first stars, and the propagation of the supernova
blast waves triggered at the end of their brief lives. We conclude by
discussing promising observational diagnostics that will allow us to probe the
properties of the first galaxies, such as their contribution to reionization
and the chemical abundance pattern observed in extremely low-metallicity stars.


title:
On the low regularity of the fifth order Kadomtsev-Petviashvili I
  equation

abstract:
  We consider the fifth order Kadomtsev-Petviashvili I (KP-I) equation as
$\partial_tu+\alpha\partial_x^3u+\partial^5_xu+\partial_x^{-1}\partial_y^2u+uu_x=0,$
while $\alpha\in \mathbb{R}$. We introduce an interpolated energy space $E_s$
to consider the well-posedeness of the initial value problem (IVP) of the fifth
order KP-I equation. We obtain the local well-posedness of IVP of the fifth
order KP-I equation in $E_s$ for $0<s\leq1$. To obtain the local
well-posedness, we present a bilinear estimate in the Bourgain space in the
framework of the interpolated energy space. It crucially depends on the dyadic
decomposed Strichartz estimate, the fifth order dispersive smoothing effect and
maximal estimate.
  Key words: The fifth order KP-I equation, Bourgain space, Dyadic decomposed
Strichartz estimate, Dispersive smoothing effect, Maximal estimate.


title: Symmetry classes connected with the magnetic Heisenberg ring

abstract:
  We define symmetry classes and commutation symmetries in the Hilbert space H
of the 1D spin-1/2 Heisenberg magnetic ring with N sites and investigate them
by means of tools from the representation theory of symmetric groups S_N such
as decompositions of ideals of the group ring C[S_N], idempotents of C[S_N],
discrete Fourier transforms of S_N, Littlewood-Richardson products. In
particular, we determine smallest symmetry classes and stability subgroups of
both single eigenvectors v and subspaces U of eigenvectors of the Hamiltonian
of the magnet. The determination of the smallest symmetry class for U bases on
an algorithm which calculates explicitely a generating idempotent for a
non-direct sum of right ideals of C[S_N]. Let U be a subspace of eigenvectors
of a a fixed eigenvalue \mu of the Hamiltonian with weight (r_1,r_2). If one
determines the smallest symmetry class for every v in U then one can observe
jumps of the symmetry behaviour. For ''generic'' v all smallest symmetry
classes have the same maximal dimension d and structure. But U can contain
linear subspaces on which the dimension of the smallest symmetry class of v
jumps to a value smaller than d. Then the stability subgroup of v can increase.
We can calculate such jumps explicitely. In our investigations we use computer
calculations by means of the Mathematica packages PERMS and HRing.


title:
Representations and characters of the Virasoro algebra and N=1
  super-Virasoro algebras

abstract:
  We present the list of irreducible (generalized) highest weight modules over
the Virasoro algebra and N=1 super-Virasoro algebras obtained as factor-modules
of (generalized) Verma modules. We present also the character formulae of all
these modules and single out the unitary irreducible ones. Most formulas are
valid for the three algebras under consideration, the different cases being
distinguished by two parameters. This is a slightly extended version of an
Encyclopedia entry.


title:
Antiphase Stripe Order as the Origin of Electron Pockets Observed in
  1/8-Hole-Doped Cuprates

abstract:
  Recent quantum oscillation measurements on underdoped cuprates are shown to
be consistent with the predictions of a mean field theory of the 1/8 magnetic
antiphase stripe order proposed to occur in high-$T_c$ cuprates. In particular,
for intermediate values of the stripe order parameter, the magneto-transport is
found to be dominated by an electron pocket.


title: Real-world ballistics: A dropped bucket

abstract:
  I discuss an apparently simple ballistics problem: the time it takes an
object to fall a small vertical distance near the surface of the Earth. It
turns out to be not so simple; I spend a great deal of time on the quantitative
assessment of the assumptions involved, especially with regards to the
influence of the air. The point is \emph{not} to solve the problem; indeed I
don't even end up solving the problem exactly. I introduce dimensional analysis
to perform all of the calculations approximately. The principal theme of the
lecture is that \emph{real} physics can be very different from ``textbook''
physics, since in the real world you aren't ever told what equations are
appropriate, or why.


title:
X-ray Group and cluster mass profiles in MOND: Unexplained mass on the
  group scale

abstract:
  Although very successful in explaining the observed conspiracy between the
baryonic distribution and the gravitational field in spiral galaxies without
resorting to dark matter (DM), the modified Newtonian dynamics (MOND) paradigm
still requires DM in X-ray bright systems. Here, to get a handle on the
distribution and importance of this DM, and thus on its possible form, we
deconstruct the mass profiles of 26 X-ray emitting systems in MOND, with
temperatures ranging from 0.5 to 9 keV. Initially we compute the MOND dynamical
mass as a function of radius, then subtract the known gas mass along with a
component of galaxies which includes the cD galaxy with $M/L_K=1$. Next we test
the compatibility of the required DM with ordinary massive neutrinos at the
experimental limit of detection ($m_{\nu}=2$ eV), with density given by the
Tremaine-Gunn limit. Even by considering that the neutrino density stays
constant and maximal within the central 100 or 150 kpc (which is the absolute
upper limit of a possible neutrino contribution there), we show that these
neutrinos can never account for the required DM within this region. The natural
corollary of this finding is that, whereas clusters (T $\ga$ 3 keV) might have
most of their mass accounted for if ordinary neutrinos have a 2 eV mass, groups
(T $\lsim$ 2 keV) cannot be explained by a 2 eV neutrino contribution. This
means that, for instance, cluster baryonic dark matter (CBDM, Milgrom 2007) or
even sterile neutrinos would present a more satisfactory solution to the
problem of missing mass in MOND X-ray emitting systems.


title: Local convergence for alternating and averaged nonconvex projections

abstract:
  The idea of a finite collection of closed sets having "strongly regular
intersection" at a given point is crucial in variational analysis. We show that
this central theoretical tool also has striking algorithmic consequences.
Specifically, we consider the case of two sets, one of which we assume to be
suitably "regular" (special cases being convex sets, smooth manifolds, or
feasible regions satisfying the Mangasarian-Fromovitz constraint
qualification). We then prove that von Neumann's method of "alternating
projections" converges locally to a point in the intersection, at a linear rate
associated with a modulus of regularity. As a consequence, in the case of
several arbitrary closed sets having strongly regular intersection at some
point, the method of "averaged projections" converges locally at a linear rate
to a point in the intersection. Inexact versions of both algorithms also
converge linearly.


title:
New bounds on the neutrino magnetic moment from the plasma induced
  neutrino chirality flip in a supernova

abstract:
  The neutrino chirality-flip process under the conditions of the supernova
core is investigated in detail with the plasma polarization effects in the
photon propagator taken into account, in a more consistent way than in earlier
publications. It is shown in part that the contribution of the proton fraction
of plasma is essential. New upper bounds on the neutrino magnetic moment are
obtained: mu_nu < (0.5 - 1.1) 10^{-12} mu_B from the limit on the supernova
core luminosity for nu_R emission, and mu_nu < (0.4 - 0.6) 10^{-12} mu_B from
the limit on the averaged time of the neutrino spin-flip. The best upper bound
on the neutrino magnetic moment from SN1987A is improved by the factor of 3 to
7.


title:
A new method for the estimation of variance matrix with prescribed zeros
  in nonlinear mixed effects models

abstract:
  We propose a new method for the Maximum Likelihood Estimator (MLE) of
nonlinear mixed effects models when the variance matrix of Gaussian random
effects has a prescribed pattern of zeros (PPZ). The method consists in
coupling the recently developed Iterative Conditional Fitting (ICF) algorithm
with the Expectation Maximization (EM) algorithm. It provides positive definite
estimates for any sample size, and does not rely on any structural assumption
on the PPZ. It can be easily adapted to many versions of EM.


title: On the precision of the spectral profile

abstract:
  We examine the spectral profile bound of Goel, Montenegro and Tetali for the
uniform mixing time of continuous-time random walk in reversible settings. We
find that it is precise up to a log log factor, and that this log log factor
cannot be improved.


title: A remark on utility streams

abstract:
  We consider arbitrarily long, but finite utility streams, and some
appropriate axioms.


title: Unveiling the core of the Globular Cluster M15 in the Ultraviolet

abstract:
  We have obtained deep far- (FUV) and near-ultraviolet (NUV) images of the
inner region of the dense globular cluster M15 with the Advanced Camera for
Surveys on board the Hubble Space Telescope. The FUV-NUV colour-magnitude
diagram shows a well defined track of horizontal branch stars, as well as a
trail of blue stragglers and white dwarfs. The main sequence turn-off is
clearly visible at FUV~23.5 mag and FUV-NUV~3 mag, and the main sequence stars
form a prominent track that extends at least two magnitudes below the main
sequence turn-off. As such, this is the deepest FUV-NUV colour-magnitude
diagram of a globular cluster presented so far. Cataclysmic variable and blue
straggler candidates are the most centrally concentrated stellar populations,
which might either be an effect of mass segregation or reflect the preferred
birthplace in the dense cluster core of such dynamically-formed objects. We
find 41 FUV sources that exhibit significant variability. We classify the
variables based on an analysis of their UV colours and variability properties.
We find four previously known RR Lyrae and 13 further RR Lyrae candidates, one
known Cepheid and six further candidates, six cataclysmic variables, one known
and one probable SX Phoenicis star, and the well known low-mass X-ray binary
AC211. Our analysis represents the first detection of SX Phoenicis pulsations
in the FUV. We find that Cepheids, RR Lyraes and SX Phoenicis exhibit massive
variability amplitudes in this waveband (several mags).


title: Distinguishing between $w < -1$ Dark Energy Models

abstract:
  Recent data and new data analysis methods show that most probably the
parameter $w$ in the equation of state of the dark energy is smaller than -1 at
low redshifts. We briefly review some of the models with such a property and
without violating null energy condition. We investigate the difference between
the observables and predictions of these models, and how they can be explored
to single out or constrain the origin of dark energy and its properties.


title: On Ultrametric Algorithmic Information

abstract:
  How best to quantify the information of an object, whether natural or
artifact, is a problem of wide interest. A related problem is the computability
of an object. We present practical examples of a new way to address this
problem. By giving an appropriate representation to our objects, based on a
hierarchical coding of information, we exemplify how it is remarkably easy to
compute complex objects. Our algorithmic complexity is related to the length of
the class of objects, rather than to the length of the object.


title: On Zariski's multiplicity conjecture

abstract:
  We discuss some features of the so-called Zariski's multiplicity problem
especially the application of the work of A'Campo on the zeta function of a
monodromy of an isolated singularity of a complex hypersurface to the problem.


title:
Scanning optical homodyne detection of high-frequency picoscale
  resonances in cantilever and tuning fork sensors

abstract:
  Higher harmonic modes in nanoscale silicon cantilevers and microscale quartz
tuning forks are detected and characterized using a custom scanning optical
homodyne interferometer. Capable of both mass and force sensing, these
resonators exhibit high-frequency harmonic motion content with picometer-scale
amplitudes detected in a 2.5 MHz bandwidth, driven by ambient thermal
radiation. Quartz tuning forks additionally display both in-plane and
out-of-plane harmonics. The first six electronically detected resonances are
matched to optically detected and mapped fork eigenmodes. Mass sensing
experiments utilizing higher tuning fork modes indicate >6x sensitivity
enhancement over fundamental mode operation.


title:
The surface density profile of NGC 6388: a good candidate for harboring
  an intermediate-mass black hole

abstract:
  We have used a combination of high resolution (HST ACS-HRC, ACS-WFC, and
WFPC2) and wide-field (ESO-WFI) observations of the galactic globular cluster
NGC 6388 to derive its center of gravity, projected density profile, and
central surface brightness profile. While the overall projected profiles are
well fit by a King model with intermediate concentration (c=1.8) and sizable
core radius (rc=7"), a significant power law (with slope \alpha=-0.2) deviation
from a flat core behavior has been detected within the inner 1 arcsecond. These
properties suggest the presence of a central intermediate mass black hole. The
observed profiles are well reproduced by a multi-mass isotropic, spherical
model including a black hole with a mass of ~5.7x10^3 Msol.


title: Pointed and copointed Hopf algebras as cocycle deformations

abstract:
  We show that all finite dimensional pointed Hopf algebras with the same
diagram in the classification scheme of Andruskiewitsch and Schneider are
cocycle deformations of each other. This is done by giving first a suitable
characterization of such Hopf algebras, which allows for the application of a
result of Masuoka about Morita-Takeuchi equivalence and of Schauenburg about
Hopf Galois extensions. The "infinitesimal" part of the deforming cocycle and
of the deformation determine the deformed multiplication and can be described
explicitly in terms of Hochschild cohomology. Applications to, and results for
copointed Hopf algebras are also considered.


title: Introduction to shape stability for a storage model

abstract:
  We consider a new idea for a storage model on n nodes, namely stability of
shape. These nodes support K neighborhoods S_i \subset {1, ..., n} and items
arrive at the S_i as independent Poisson streams with rates lambda_i, i=1,
...,K. Upon arrival at S_i an item is stored at node j \in S_i where j is
determined by some policy. Under natural conditions on the lambda_i we exhibit
simple local policies such that the multidimensional process describing the
evolution of the number of items at each node is positive recurrent (stable) in
shape.


title:
Towards Low Cost Coupling Structures for Short-Distance Optical
  Interconnections

abstract:
  The performance of short distance optical interconnections in general relies
very strongly on coupling structures, since they will determine the overall
efficiency of the system to a large extent. Different configurations can be
considered and a variety of manufacturing technologies can be used. We present
two different discrete and two different integrated coupling components which
can be used to deflect the light beam over 90 degrees and can play a crucial
role when integrating optical interconnections in printed circuit boards. The
fabrication process of the different coupling structures is discussed and
experimental results are shown. The main characteristics of the coupling
structures are given. The main advantages and disadvantages of the different
components are discussed.


title: Fluctuation of the initial condition from Glauber models

abstract:
  We analyze measures of the azimuthal asymmetry, in particular the participant
harmonic moments, epsilon*, in a variety of Glauber-like models for the early
stage of collisions at RHIC. Quantitative comparisons indicate substantial
model dependence for epsilon*, reflecting different effective number of
sources, while the dependence of the scaled standard deviation
sigma(epsilon*)/epsilon* on the particular Glauber model is weak. For all the
considered models the values of sigma(epsilon*)/epsilon* range from ~0.5 for
the central collisions to ~0.3-0.4 for peripheral collisions. These values,
dominated by statistics, change only by 10-15% from model to model. For central
collisions and in the absence of correlations between the location of sources
we obtain through the use of the central limit theorem the simple analytic
formula sigma(epsilon*)/epsilon*(b=0) ~ \sqrt{4/pi-1} ~ 0.52$, independent on
the collision energy, mass number, or the number of sources. We investigate the
shape-fluctuation effects for jet quenching and find they are important only
for very central events. Finally, we list some remarks and predictions from
smooth hydrodynamics on higher flow coefficients and their fluctuations, in
particular sigma(v_4)/v_4=2 sigma(v_2)/v_2.


title:
High Rate Single-Symbol ML Decodable Precoded DSTBCs for Cooperative
  Networks

abstract:
  Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full
diversity order and single-symbol ML decodability have been introduced recently
by Yi and Kim for cooperative networks and an upperbound on the maximal rate of
such codes along with code constructions has been presented. In this paper, we
introduce a new class of Distributed STBCs called Semi-orthogonal Precoded
Distributed Single-Symbol Decodable STBCs (S-PDSSDC) wherein, the source
performs co-ordinate interleaving of information symbols appropriately before
transmitting it to all the relays. It is shown that DOSTBCs are a special case
of S-PDSSDCs. A special class of S-PDSSDCs having diagonal covariance matrix at
the destination is studied and an upperbound on the maximal rate of such codes
is derived. The bounds obtained are approximately twice larger than that of the
DOSTBCs. A systematic construction of S-PDSSDCs is presented when the number of
relays $K \geq 4$. The constructed codes are shown to achieve the upperbound on
the rate when $K$ is of the form 0 or 3 modulo 4. For the rest of the values of
$K$, the constructed codes are shown to have rates higher than that of DOSTBCs.
It is shown that S-PDSSDCs cannot be constructed with any form of linear
processing at the relays when the source doesn't perform co-ordinate
interleaving of the information symbols. Simulation result shows that S-PDSSDCs
have better probability of error performance than that of DOSTBCs.


title:
Differential and graphical approaches to multistability theory for
  chemical reaction networks

abstract:
  The use of mathematical models has helped to shed light on countless
phenomena in chemistry and biology. Often, though, one finds that systems of
interest in these fields are dauntingly complex. In this paper, we attempt to
synthesize and expand upon the body of mathematical results pertaining to the
theory of multiple equilibria in chemical reaction networks (CRNs), which has
yielded surprising insights with minimal computational effort. Our central
focus is a recent, cycle-based theorem by Gheorghe Craciun and Martin Feinberg,
which is of significant interest in its own right and also serves, in a
somewhat restated form, as the basis for a number of fruitful connections among
related results.


title: Rapidity-dependent chemical potentials in a statistical approach

abstract:
  We present a single-freeze-out model with thermal and geometric parameters
dependent on the position within the fireball and use it to describe the
rapidity and transverse-momentum spectra of pions, kaons, protons, and
antiprotons measured at RHIC at 200 GeV} by BRAHMS. THERMINATOR is used to
perform the necessary simulation, which includes all resonance decays. The
result of the fit to the data is the expected growth of the baryon and strange
chemical potentials with the spatial rapidity\alpha_\parallel. The value of the
baryon chemical potential at \alpha_\parallel ~ 3 is about 200 MeV, i.e. lies
in the range of the highest SPS energies. The chosen geometry of the fireball
has a decreasing transverse size as the magnitude of \alpha_\parallel is
increased, which also corresponds to decreasing transverse flow. The strange
chemical potential obtained from the fit to the K+/K- ratio is such that the
local strangeness density in the fireball is compatible with zero. The
resulting rapidity spectra of net protons are described qualitatively within
the statistical approach. As a result of our study, the knowledge of the
``topography'' of the fireball is acquired, allowing for other analyses and
predictions.


title: Effective Pruefer Angles and Relative Oscillation Criteria

abstract:
  We present a streamlined approach to relative oscillation criteria based on
effective Pruefer angles adapted to the use at the edges of the essential
spectrum.
  Based on this we provided a new scale of oscillation criteria for general
Sturm-Liouville operators which answer the question whether a perturbation
inserts a finite or an infinite number of eigenvalues into an essential
spectral gap. As a special case we recover the Gesztesy-Uenal criterion (which
works below the spectrum and contains classical criteria by Kneser, Hartman,
Hille, and Weber) and the well-known results by Rofe-Beketov including the
extensions by Schmidt.


title: A Universal Operator Theoretic Framework for Quantum Fault Tolerance

abstract:
  In this paper we introduce a universal operator theoretic framework for
quantum fault tolerance. This incorporates a top-down approach that implements
a system-level criterion based on specification of the full system dynamics,
applied at every level of error correction concatenation. This leads to more
accurate determinations of error thresholds than could previously be obtained.
This is demonstrated both formally and with an explicit numerical example. The
basis for our approach is the Quantum Computer Condition (QCC), an inequality
governing the evolution of a quantum computer. We show that all known coding
schemes are actually special cases of the QCC. We demonstrate this by
introducing a new, operator theoretic form of entanglement assisted quantum
error correction, which incorporates as special cases all known error
correcting protocols, and is itself a special case of the QCC.


title:
Numerical analysis of a nonlocal parabolic problem resulting from
  thermistor problem

abstract:
  We analyze the spatially semidiscrete piecewise linear finite element method
for a nonlocal parabolic equation resulting from thermistor problem. Our
approach is based on the properties of the elliptic projection defined by the
bilinear form associated with the variational formulation of the finite element
method. We assume minimal regularity of the exact solution that yields optimal
order error estimate. The full discrete backward Euler method and the
Crank-Nicolson-Galerkin scheme are also considered. Finally, a simple algorithm
for solving the fully discrete problem is proposed.


title: Magic wavelengths for the np-ns transitions in alkali-metal atoms

abstract:
  Extensive calculations of the electric-dipole matrix elements in alkali-metal
atoms are conducted using the relativistic all-order method. This approach is a
linearized version of the coupled-cluster method, which sums infinite sets of
many-body perturbation theory terms. All allowed transitions between the lowest
ns, np_1/2, np_3/2 states and a large number of excited states are considered
in these calculations and their accuracy is evaluated. The resulting
electric-dipole matrix elements are used for the high-precision calculation of
frequency-dependent polarizabilities of the excited states of alkali-metal
atoms. We find magic wavelengths in alkali-metal atoms for which the ns and
np_1/2 and np_3/2 atomic levels have the same ac Stark shifts, which
facilitates state-insensitive optical cooling and trapping.


title:
How cold is cold dark matter? Small scales constraints from the flux
  power spectrum of the high-redshift Lyman-alpha forest

abstract:
  We present constraints on the mass of warm dark matter (WDM) particles
derived from the Lyman-alpha flux power spectrum of 55 high- resolution HIRES
spectra at 2.0 < z < 6.4. From the HIRES spectra, we obtain a lower limit of
mwdm > 1.2 keV 2 sigma if the WDM consists of early decoupled thermal relics
and mwdm > 5.6 keV (2 sigma) for sterile neutrinos. Adding the Sloan Digital
Sky Survey Lyman-alpha flux power spectrum, we get mwdm > 4 keV and mwdm > 28
keV (2 sigma) for thermal relics and sterile neutrinos. These results improve
previous constraints by a factor two.


title: On the index of the Heegner subgroup of elliptic curves

abstract:
  Let E be an elliptic curve of conductor N and rank one over Q. So there is a
non-constant morphism X+0(N) --> E defined over Q, where X+0(N) = X0(N)/wN and
wN is the Fricke involution of the modular curve X+0(N). Under this morphism
the traces of the Heegner points of X+0(N) map to rational points on E. In this
paper we study the index I of the subgroup generated by all these traces on
E(Q). We propose and also discuss a conjecture that says that if N is prime and
I > 1, then either the number of connected components of the real locus
X+0(N)(R) is greater than 1 or (less likely) the order S of the Tate-Safarevich
group is non-trivial. This conjecture is backed by computations performed on
each E that satisfies the above hypothesis in the range N < 129999. This paper
was prepared for the proceedings of the Conference on Algorithmic Number
Theory, Turku, May 8-11, 2007. We tried to make the paper as self contained as
possible.


title:
Temperature-dependent Raman scattering of natural and isotopically
  substituted PbS

abstract:
  Lead sulfide is an important semiconductor that has found technological
applications for over a century. Raman spectroscopy, a standard tool for the
investigation and characterization of semiconductors, has limited application
to this material because of the forbidden nature of its first order scattering
and its opacity to visible lasers. Nevertheless, useful vibrational spectra
from two-phonon processes are obtained with red lasers, probably because of a
resonance in the concomitant electronic transitions. Here we report temperature
dependent spectra, covering the 10-300 K range, for two samples with different
sulfur isotopic compositions. The results are analyzed by comparison with ab
initio calculations of the lattice dynamics of PbS and the corresponding
densities of one and two-phonon states. Emphasis is placed on the analysis of
the two phonon band centered at ~430 cm-1.


title: Harder-Narasimhan Filtrations and K-Groups of an Elliptic Curve

abstract:
  Let $X$ be an elliptic curve over an algebraically closed field. We prove
that some exact sub-categories of the category of vector bundles over $X$,
defined using Harder-Narasimhan filtrations, have the same K-groups as the
whole category.


title: An improved solar wind electron-density model for pulsar timing

abstract:
  Variations in the solar wind density introduce variable delays into pulsar
timing observations. Current pulsar timing analysis programs only implement
simple models of the solar wind, which not only limit the timing accuracy, but
can also affect measurements of pulsar rotational, astrometric and orbital
parameters. We describe a new model of the solar wind electron density content
which uses observations from the Wilcox Solar Observatory of the solar magnetic
field. We have implemented this model into the tempo2 pulsar timing package. We
show that this model is more accurate than previous models and that these
corrections are necessary for high precision pulsar timing applications.


title: On the Vertices of Indecomposable Modules Over Dihedral 2-Groups

abstract:
  Let $k$ be an algebraically closed field of characteristic 2. We compute the
vertices of all indecomposable $kD_8$-modules for the dihedral group $D_8$ of
order 8. We also give a conjectural formula of the induced module of a string
module from $kT_0$ to $kG$ where $G$ is a dihedral group of order $\geq 8$ and
where $T_0$ is a dihedral subgroup of index 2 of $G$. Some cases where we
verified this formula are given.


title: Hadronic charmless B decays B-> AP

abstract:
  The two-body hadronic decays of B mesons into pseudoscalar and axial vector
mesons are studied within the framework of QCD factorization. The light-cone
distribution amplitudes (LCDAs) for $^3P_1$ and $^1P_1$ axial-vector mesons
have been evaluated using the QCD sum rule method. Owing to the G-parity, the
chiral-even two-parton light-cone distribution amplitudes of the $^3P_1$
($^1P_1$) mesons are symmetric (antisymmetric) under the exchange of quark and
anti-quark momentum fractions in the SU(3) limit. For chiral-odd LCDAs, it is
other way around. The main results are the following: (i) The predicted rates
for $a_1^\pm(1260)\pi^\mp$, $b_1^\pm(1235)\pi^\mp$, $b_1^0(1235)\pi^-$,
$a_1^+K^-$ and $b_1^+K^-$ modes are in good agreement with the data. However,
the naively expected ratios $Br(B^-\to a_1^0\pi^-)/Br(\ov B^0\to
a_1^+\pi^-)\leq 1$, $Br(B^-\to a_1^-\pi^0)/Br(\ov B^0\to a_1^-\pi^+)\sim
{1\over 2}$ and $Br(B^-\to b_1^0K^-)/Br(\ov B^0\to b_1^+K^-)\sim {1\over 2}$
are not borne out by experiment. This should be clarified by the improved
measurements of these decays. (ii) Since the $\bar B\to b_1K$ decays receive
sizable annihilation contributions, their rates are sensitive to the
interference between penguin and annihilation terms. The measurement of
$Br(\bar B^0\to b_1^+K^-)$ implies a destructive interference which in turn
indicates that the form factors for $B\to b_1$ and $B\to a_1$ transitions are
of opposite signs. (iii) Sizable power corrections such as weak annihilation
are needed to account for the observed rates of the penguin-dominated modes
$K_1^-(1270)\pi^+$ and $K_1^-(1400)\pi^+$.


title: Feature selection for high dimensional data in astronomy

abstract:
  With an exponentially increasing amount of astronomical data, the complexity
and dimension of astronomical data are likewise growing rapidly. Extracting
information from such data becomes a critical and challenging problem. For
example, some algorithms can only be employed in the low-dimensional spaces, so
feature selection and feature extraction become important topics. Here we
describe the difference between feature selection and feature extraction
methods, and introduce the taxonomy of feature selection methods as well as the
characteristics of each method. We present a case study comparing the
performance and computational cost of different feature selection methods. For
the filter method, ReliefF and fisher filter are adopted; for the wrapper
method, improved CHAID, linear discriminant analysis (LDA), Naive Bayes (NB)
and C4.5 are taken as learners. Applied on the sample, the result indicates
that from the viewpoints of computational cost the filter method is superior to
the wrapper method. Moreover, different learning algorithms combined with
appropriate feature selection methods may arrive at better performance.


title: Non-Regular Likelihood Inference for Seasonally Persistent Processes

abstract:
  The estimation of parameters in the frequency spectrum of a seasonally
persistent stationary stochastic process is addressed. For seasonal persistence
associated with a pole in the spectrum located away from frequency zero, a new
Whittle-type likelihood is developed that explicitly acknowledges the location
of the pole. This Whittle likelihood is a large sample approximation to the
distribution of the periodogram over a chosen grid of frequencies, and
constitutes an approximation to the time-domain likelihood of the data, via the
linear transformation of an inverse discrete Fourier transform combined with a
demodulation. The new likelihood is straightforward to compute, and as will be
demonstrated has good, yet non-standard, properties. The asymptotic behaviour
of the proposed likelihood estimators is studied; in particular,
$N$-consistency of the estimator of the spectral pole location is established.
Large finite sample and asymptotic distributions of the score and observed
Fisher information are given, and the corresponding distributions of the
maximum likelihood estimators are deduced. A study of the small sample
properties of the likelihood approximation is provided, and its superior
performance to previously suggested methods is shown, as well as agreement with
the developed distributional approximations.


title:
Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First
  Order Formalism

abstract:
  Perturbative Coulomb gauge Yang-Mills theory within the first order formalism
is considered. Using a differential equation technique and dimensional
regularization, analytic results for both the ultraviolet divergent and finite
parts of the two-point functions at one-loop order are derived. It is shown how
the non-ultraviolet divergent parts of the results are finite at spacelike
momenta with kinematical singularities on the light-cone and subsequent branch
cuts extending into the timelike region.


title: Lens spaces given from L-space homology 3-spheres

abstract:
  We consider the problem when lens spaces are given from homology spheres, and
demonstrate that many lens spaces are obtained from L-space homology sphere
which the Ozsv\'ath Szab\'o's correction term $d(Y)$ is equal to 2. We show an
inequality of slope and genus when $Y$ is L-space and $Y_p(K)$ is lens space.


title:
Quantum Reference Frames and the Classification of
  Rotationally-Invariant Maps

abstract:
  We give a convenient representation for any map that is covariant with
respect to an irreducible representation of SU(2), and use this representation
to analyze the evolution of a quantum directional reference frame when it is
exploited as a resource for performing quantum operations. We introduce the
moments of a quantum reference frame, which serve as a complete description of
its properties as a frame, and investigate how many times a quantum directional
reference frame represented by a spin-j system can be used to perform a certain
quantum operation with a given probability of success. We provide a
considerable generalization of previous results on the degradation of a
reference frame, from which follows a classification of the dynamics of spin-j
system under the repeated action of any covariant map with respect to SU(2).


title:
The Existence of Inner Cool Disks in the Low Hard State of Accreting
  Black Holes

abstract:
  The condensation of matter from a corona to a cool, optically thick inner
disk is investigated for black hole X-ray transient systems in the low hard
state. A description of a simple model for the exchange of energy and mass
between corona and disk originating from thermal conduction is presented,
taking into account the effect of Compton cooling of the corona by photons from
the underlying disk. It is found that a weak, condensation-fed inner disk can
be present in the low hard state of black hole transient systems for a range of
luminosities which depend on the magnitude of the viscosity parameter. For
$\alpha \sim 0.1-0.4$ an inner disk can exist for luminosities in the range
$\sim 0.001- 0.02$ Eddington value. The model is applied to the X-ray
observations of the black hole candidate sources GX 339-4 and Swift
J1753.5-0127 in their low hard state. It is found that Compton cooling is
important in the condensation process, leading to the maintenance of cool inner
disks in both systems. As the results of the evaporation/condensation model are
independent of the black hole mass, it is suggested that such inner cool disks
may contribute to the optical and ultraviolet emission of low luminosity active
galactic nuclei.


title:
The thermodynamics for a hadronic gas of fireballs with internal color
  structures and chiral fields

abstract:
  The thermodynamical partition function for a gas of color-singlet bags
consisting of fundamental and adjoint particles in both $U(N_c)$ and $SU(N_c)$
group representations is reviewed in detail. The constituent particle species
are assumed to satisfy various thermodynamical statistics. The gas of bags is
probed to study the phase transition for a nuclear matter in the extreme
conditions. These bags are interpreted as the Hagedorn states and they are the
highly excited hadronic states which are produced below the phase transition
point to the quark-gluon plasma. The hadronic density of states has the
Gross-Witten critical point and exhibits a third order phase transition from a
hadronic phase dominated by the discrete low-lying hadronic mass spectrum
particles to another hadronic phase dominated by the continuous Hagedorn
states. The Hagedorn threshold production is found just above the highest known
experimental discrete low-lying hadronic mass spectrum. The subsequent Hagedorn
phase undergoes a first order deconfinement phase transition to an explosive
quark-gluon plasma. The role of the chiral phase transition in the phases of
the discrete low-lying mass spectrum and the continuous Hagedorn mass spectrum
is also considered. It is found crucial in the phase transition diagram.
Alternate scenarios are briefly discussed for the Hagedorn gas undergoes a
higher order phase transition through multi-processes of internal color-flavor
structure modification.


title: Estimating Random Variables from Random Sparse Observations

abstract:
  Let X_1,...., X_n be a collection of iid discrete random variables, and
Y_1,..., Y_m a set of noisy observations of such variables. Assume each
observation Y_a to be a random function of some a random subset of the X_i's,
and consider the conditional distribution of X_i given the observations, namely
\mu_i(x_i)\equiv\prob\{X_i=x_i|Y\} (a posteriori probability).
  We establish a general relation between the distribution of \mu_i, and the
fixed points of the associated density evolution operator. Such relation holds
asymptotically in the large system limit, provided the average number of
variables an observation depends on is bounded. We discuss the relevance of our
result to a number of applications, ranging from sparse graph codes, to
multi-user detection, to group testing.


title:
On orthogonal and special orthogonal invariants of a single matrix of
  small order

abstract:
  We study the structure of the algebra of polynomial invariants for the usual
conjugation action of the complex special, SO_n, and general, O_n, orthogonal
group on the space of traceless n by n complex matrices. (Note that these two
algebras coincide if n is odd.) Minimal generating sets of these algebras are
known for n less than 5. We construct one for n=5. We also construct a Hironaka
decomposition in the case n=3 and a new (more economical) such decomposition
for n=4. A simple presentation (with just one syzygy) is obtained for the
algebra in the case n=3.


title: Spin Physics Program at RHIC-PHENIX

abstract:
  Longitudinal spin physics program at RHIC-PHENIX is introduced. Recent
results of pi0 cross section and A_LL are presented and discussed.


title: Entanglement of Accelerating Particles

abstract:
  We study how the entanglement of a maximally entangled pair of particles is
affected when one or both of the pair are uniformly accelerated, while the
detector remains in an inertial frame. We find that the entanglement is
unchanged if all degrees of freedom are considered. However, particle pairs are
produced, and the entanglements of different bipartite systems may change with
the acceleration. In particular, the entanglement between accelerating fermions
is transferred preferentially to the produced antiparticles when the
acceleration is large, and the entanglement transfer is complete when the
acceleration approaches infinity. However, for scalar particles, no
entanglement transfer to the antiparticles is observed.


title: Blackbody radiation shift in a 43Ca+ ion optical frequency standard

abstract:
  Motivated by the prospect of an optical frequency standard based on 43Ca+, we
calculate the blackbody radiation (BBR) shift of the 4s_1/2-3d_5/2 clock
transition, which is a major component of the uncertainty budget. The
calculations are based on the relativistic all-order single-double method where
all single and double excitations of the Dirac-Fock wave function are included
to all orders of perturbation theory. Additional calculations are conducted for
the dominant contributions in order to evaluate some omitted high-order
corrections and estimate the uncertainties of the final results. The BBR shift
obtained for this transition is 0.38(1) Hz. The tensor polarizability of the
3d_5/2 level is also calculated and its uncertainty is evaluated as well. Our
results are compared with other calculations.


title:
Realizability and exceptionality of candidate surface branched covers:
  methods and results

abstract:
  Given two closed orientable surfaces, the Hurwitz existence problem asks
whether there exists a branched cover between them having prescribed global
degree and local degrees over the branching points. The Riemann-Hurwitz formula
gives a necessary condition, which was shown to be also sufficient when the
base surface has positive genus. For the sphere one knows that for some data
the cover exists and for some it does not, but the problem is still open in
general. In this paper we will review five different techniques recently
employed to attack it, and we will state the main results they have led to. To
illustrate the techniques we will give five independent proofs of the fact that
there is no branched cover of the sphere over itself with degree 4, three
branching points, and local degrees (2,2), (2,2), and (3,1) over them (despite
the fact that the Riemann-Hurwitz formula is satisfied).


title:
Efficient generation of >2 W of green light by single pass frequency
  doubling in PPMgLN

abstract:
  We report 32% efficient frequency doubling of single frequency 1029 nm light
to green light at 514.5 nm using a single pass configuration. A congruent
composition, periodically poled magnesium doped lithium niobate (PPMgLN)
crystal of 50 mm length was used to generate a second harmonic power of 2.3 W.
To our knowledge, this is the highest reported frequency doubling efficiency of
any wavelength light in a PPMgLN crystal and also the highest reported SHG
output power in the green for PPMgLN.


title: Do Nonequilibrium Processes Have Features in Common?

abstract:
  The nature takes the easiest and most accessible paths and, hence, processes
are accomplished very quickly in a minimum time. In 1662 P. Fermat used this
principle to work out the refraction law. This was one of the first known
attempts at successful deductive description of a physical phenomenon involving
the variational principle. Presently researchers concerned with nonequilibrium
processes have turned back to Fermat's idea in the form of the maximum entropy
production principle (MEPP). MEPP has proved to be good for understanding and
description of diverse nonequilibrium processes in physics, chemistry and
biology. This brings up two questions: 1) Can this principle claim to be the
basis of all nonequilibrium physics? 2) Is it possible to prove MEPP?