title: Binary and Ternary Quasi-perfect Codes with Small Dimensions

abstract:
  The aim of this work is a systematic investigation of the possible parameters
of quasi-perfect (QP) binary and ternary linear codes of small dimensions and
preparing a complete classification of all such codes. First we give a list of
infinite families of QP codes which includes all binary, ternary and quaternary
codes known to is. We continue further with a list of sporadic examples of
binary and ternary QP codes. Later we present the results of our investigation
where binary QP codes of dimensions up to 14 and ternary QP codes of dimensions
up to 13 are classified.


title:
Theoretical Criteria for the Occurrence of Turbulence in Burger's
  Equation

abstract:
  Throughout the history of the study of turbulence in fluid dynamics, there
has yet to arise a unique definition or theoretical criterion for this
important phenomenon. There have been interesting conjectures made by Ruelle
[2], Muriel [3], and Getreuer, Albano and Muriel [6], however, attempting to
provide the sufficient criteria for the onset of turbulence. In this paper, a
classic equation in fluid dynamics, Burger's equation, is solved in one and two
dimensions, and these conjectures are illustrated. This illustration supports
these conjectures by showing that the proposed criteria do arise mathematically
from the solutions of an equation modelling fluid flows.


title: Heterodyne holographic microscopy of gold particles

abstract:
  We report experimental results on heterodyne holographic microscopy of
subwavelength-sized gold particles. The apparatus uses continuous green laser
illumination of the metal beads in a total internal reflection configuration
for dark-field operation. Detection of the scattered light at the illumination
wavelength on a charge-coupled device array detector enables 3D localization of
brownian particles in water


title:
High frequency limit of the Transport Cross Section and boundedness of
  the Total Cross Section in scattering by an obstacle with impedance boundary
  conditions

abstract:
  The scalar scattering of the plane wave by a strictly convex obstacle with
impedance boundary conditions is considered. The uniform boundedness of the
Total Cross Section for all values of frequencies is proved. The high frequency
limit of the Transport Cross Section is founded and presented as a classical
functional of the variational theory.


title:
Perturbative analysis of the Neuberger-Dirac operator in the
  Schr\"odinger functional

abstract:
  We investigate the spectrum of the free Neuberger-Dirac operator $\Dov$ on
the Schr\"odinger functional (SF). We check that the lowest few eigen-values of
the Hermitian operator $\Dov^{\dag}\Dov$ in unit of $L^{-2}$ converge to the
continuum limit properly. We also perform a one-loop calculation of the SF
coupling, and then check the universality and investigate lattice artifacts of
the step scaling function. It turns out that the lattice artifacts for the
Neuberger-Dirac operator are comparable in those of the clover action.


title:
On the age heterogeneity of the Pleiades, Hyades and Sirius moving
  groups

abstract:
  We investigate the nature of the classical low-velocity structures in the
local velocity field, i.e. the Pleiades, Hyades and Sirius moving groups. After
using a wavelet transform to locate them in velocity space, we study their
relation with the open clusters kinematically associated with them. By directly
comparing the location of moving group stars in parallax space to the
isochrones of the embedded clusters, we check whether, within the observational
errors on the parallax, all moving group stars could originate from the
on-going evaporation of the associated cluster. We conclude that, in each
moving group, the fraction of stars making up the velocity-space overdensity
superimposed on the background is higher than the fraction of stars compatible
with the isochrone of the associated cluster. These observations thus favour a
dynamical (resonant) origin for the Pleiades, Hyades and Sirius moving groups.


title: Solar Physics and the Solar-Stellar Connection at Dome C

abstract:
  Solar magnetic fields evolve on many time-scales, e.g., the generation,
migration, and dissipation of magnetic flux during the 22-year magnetic cycle
of the Sun. Active regions develop and decay over periods of weeks. The
build-up of magnetic shear in active regions can occur within less than a day.
At the shortest time-scales, the magnetic field topology can change rapidly
within a few minutes as the result of eruptive events such as flares, filament
eruptions, and coronal mass ejections. The unique daytime seeing
characteristics at Dome C, i.e., continuous periods of very good to excellent
seeing during almost the entire Antarctic summer, allow us to address many of
the top science cases related to the evolution of solar magnetic fields. We
introduce the Advanced Solar Photometric Imager and Radiation Experiment and
present the science cases for synoptic solar observations at Dome C.
Furthermore, common science cases concerning the solar-stellar connection are
discussed in the context of the proposed International Concordia Explorer
Telescope.


title: Classification of Connections on Higher-Dimensional Non-Commutative Tori

abstract:
  If X is a full, finitely generated, projective module over a non-commutative
torus, the Yang-Mills functional attains its minimum exactly on the flat
connections on X. We classify the flat connections on modules admitting
integrable connections.


title: Trends for Outer Disk Profiles

abstract:
  The surface-brightness profiles of galaxy disks fall into three main classes,
based on whether they are simple exponentials (Type I), bend down at large
radii (Type II, "truncations") or bend up at large radii (Type III,
"antitruncations"). Here, we discuss how the frequency of these different
profiles depends on Hubble type, environment, and the presence or absence of
bars; these trends may herald important new tests for disk formation models.


title:
Quantum entanglement in the voltage dependent sodium channel can
  reproduce the salient features of neuronal action potential initiation

abstract:
  We investigate the effects of a quantum entanglement regime within an ion
conducting molecule (ion channel) of the neuronal plasma membrane on the onset
dynamics of propagating nerve pulses (action potentials). In particular, we
model the onset parameters of the sodium current in the Hodgkin Huxley equation
as three similar but independent probabilistic mechanisms which become quantum
entangled. The underlying physics is general and can involve entanglement
between various degrees of freedom underlaying ion transition states or 'gating
states' during conduction, e.g. Na$^+$ ions in different channel locations, or
different 'affinity' states of ions with atoms lining the sub-regions of the
channel protein ('filter-states'). We find that the 'quantum corrected' Hodgkin
Huxley equation incorporating entangled systems states can reproduce action
potential pulses with the critical onset dynamics observed recently in
neocortical neurons in vivo by Naundorf et al. [Nature {\bf 440}, 1060 (20
April 2006)]. Interestingly, the suggested entanglement term can also slow down
action potential initiation.


title:
The study of double vector charmonium mesons production at B-factories
  within light cone formalism

abstract:
  In this paper the processes $e^+ e^- \to J/\Psi J/\Psi, J/\Psi \psi', \psi'
\psi'$ are considered in the framework of light cone formalism. An important
distinction of this approach in comparison to the approaches used in other
papers is that relativistic and leading logarithmic radiative corrections to
the cross section can be easily resummed within light cone formalism. In this
paper the effect of this resummation is studied. It is shown that this effect
is important especially for the production of higher charmonium mesons. The
predicted cross sections are in agreement with the upper bounds set by Belle
collaboration.


title: Analytical Approach to Subhaloes Population in Dark Matter Haloes

abstract:
  In the standard model of cosmic structure formation, dark matter haloes form
by gravitational instability. The process is hierarchical: smaller systems
collapse earlier, and later merge to form larger haloes. The galaxy clusters,
hosted by the largest dark matter haloes, are at the top of this hierarchy
representing the largest as well as the last structures formed in the universe,
while the smaller and first haloes are those Earth-sized dark subhaloes which
have been both predicted by theoretical considerations and found in numerical
simulations, though it does not exist any observational hints of their
existence. The probability that a halo of mass $m$ at redshift $z$ will be part
of a larger halo of mass $M$ at the present time can be described in the frame
of the extended Press & Schecter theory making use of the progenitor
(conditional) mass function. Using the progenitor mass function we calculate
analytically, at redshift zero, the distribution of subhaloes in mass,
formation epoch and rarity of the peak of the density field at the formation
epoch. That is done for a Milky Way-size system, assuming both a spherical and
an ellipsoidal collapse model. Our calculation assumes that small progenitors
do not lose mass due to dynamical processes after entering the parent halo, and
that they do not interact with other subhaloes. For a $\mathrm{\Lambda}$CDM
power spectrum we obtain a subhalo mass function $\mathrm{d}n/\mathrm{d}m$
proportional to $m^{- \alpha}$ with a model-independent $\alpha \sim 2$.
Assuming the dark matter is a weakly interacting massive particle, the inferred
distributions is used to test the feasibility of an indirect detection in the
$\gamma$-rays energy band of such a population of subhaloes with a GLAST-like
satellite.


title: Crossing paths in 2D Random Walks

abstract:
  We investigate crossing path probabilities for two agents that move randomly
in a bounded region of the plane or on a sphere (denoted $R$). At each discrete
time-step the agents move, independently, fixed distances $d_1$ and $d_2$ at
angles that are uniformly distributed in $(0,2\pi)$. If $R$ is large enough and
the initial positions of the agents are uniformly distributed in $R$, then the
probability of paths crossing at the first time-step is close to $ 2d_1d_2/(\pi
A[R])$, where $A[R]$ is the area of $R$. Simulations suggest that the long-run
rate at which paths cross is also close to $2d_1d_2/(\pi A[R])$ (despite marked
departures from uniformity and independence conditions needed for such a
conclusion).


title: Heavy Quarkonia in Light-Front QCD

abstract:
  This talk is based on results obtained for masses and wave functions of heavy
quarkonia in a light-front Hamiltonian formulation of QCD with just one flavor
of quarks using an ansatz for the mass-gap for gluons. Since the calculated
spectra compare reasonably well with data, some further steps one can make are
discussed.


title: P Wave Baryons in Field Correlator Method: Hyperons

abstract:
  We provide an investigation of the P-wave hyperons employing the field
correlator method in QCD. This method allows to derive the Effective
Hamiltonian successfully applied to the meson and ground state baryon spectra.
The hyperon spectrum appears to be expressed through two parameters relevant to
QCD, the string tension \sigma, the strong coupling constant \alpha_s, and the
bare strange quark mass m_s. Using these parameters a unified description of
the ground and excited hyperon states is achieved. We also briefly consider the
nucleon P-wave excitations. In particular, we predict that both the nucleon and
hyperon states have the similar cost (in \Delta L) ~460 MeV.


title:
Stabilization of quantum information by combined dynamical decoupling
  and detected-jump error correction

abstract:
  Two possible applications of random decoupling are discussed. Whereas so far
decoupling methods have been considered merely for quantum memories, here it is
demonstrated that random decoupling is also a convenient tool for stabilizing
quantum algorithms. Furthermore, a decoupling scheme is presented which
involves a random decoupling method compatible with detected-jump error
correcting quantum codes. With this combined error correcting strategy it is
possible to stabilize quantum information against both spontaneous decay and
static imperfections of a qubit-based quantum information processor in an
efficient way.


title: Monitoring of FR Cnc Flaring Activity

abstract:
  Being excited by the detection of the first ever-observed optical flare in FR
Cnc, we decided to continue photometrical monitoring of this object. The
observations were carried out at Crimean Astrophysical Observatory (Crimea,
Ukraine; CrAO - hereafter) and at the Terskol Observatory (Russia, Northern
Caucasus). The obtained lightcurves are presented and discussed. No
distinguishable flares were detected that could imply that flares on FR Cnc are
very rare event.


title: Guided atom laser : a new tool for guided atom optics

abstract:
  We present a guided atom laser. A Bose-Einstein condensate (BEC) is created
in a crossed hybrid magnetic and an elongated optical trap, which acts as a
matterwave guide. Atoms are extracted from the BEC by radio frequency (rf)
outcoupling and then guided in the horizontal optical matterwave guide. This
method allows to control the acceleration of the beam and to achieve large de
Broglie wavelength. We also measure the longitudinal energy of the guided atom
laser using atom optical elements based on a blue light barrier.


title: Continuous-time trading and emergence of volatility

abstract:
  This note continues investigation of randomness-type properties emerging in
idealized financial markets with continuous price processes. It is shown,
without making any probabilistic assumptions, that the strong variation
exponent of non-constant price processes has to be 2, as in the case of
continuous martingales.


title: Frequency Dependence of Radio Images of Supernova Remnants

abstract:
  Radio images of supernova remnants in the framework of diffusion model are
discussed. The distribution profiles of synchrotron radiation intensity for
spherical injection source of relativistic electrons are reduced at different
frequencies. An explanation of the observational data obtained on UTR-2,
according to which the size of the supernova remnant at decametric waves is
larger than the remnant size at high frequencies, is given.


title: The parafermion Fock space and explicit so(2n+1) representations

abstract:
  The defining relations (triple relations) of n pairs of parafermion operators
f_j^\pm (j=1,...,n) are known to coincide with a set of defining relations for
the Lie algebra so(2n+1) in terms of 2n generators. With the common Hermiticity
conditions, this means that the ``parafermions of order p'' correspond to a
finite-dimensional unitary irreducible representation W(p) of so(2n+1), with
highest weight (p/2, p/2,..., p/2). Although the dimension and character of
W(p) is known by classical formulas, there is no explicit basis of W(p)
available in which the parafermion operators have a natural action. In this
paper we construct an orthogonal basis for W(p), and we present the explicit
actions of the parafermion generators on these basis vectors. We use group
theoretical techniques, in which the u(n) subalgebra of so(2n+1) plays a
crucial role: a set of Gelfand-Zetlin patterns of u(n) will be used to label
the basis vectors of W(p), and also in the explicit action (matrix elements)
certain u(n) Clebsch-Gordan coefficients are essential.

categories: hep-th math-ph math.GR math.MP math.RT quant-ph


title: Correction: A correlated topic model of Science

abstract:
  Correction to Annals of Applied Statistics 1 (2007) 17--35
[doi:10.1214/07-AOAS114]


title: MHD Space Sailing

abstract:
  The rocket technology dates back as far as medieval China. Used initially for
entertainment and religious practices over time rockets evolved into weapons
and finally into means of transportation. Today, we are nearing the top of the
rockets' capabilities. Although, for now they are the only way for us to send
anything into space we are becoming more and more aware of the limitations of
this technology. It is essential that we invent other means of propelling
probes and other interplanetary vehicles through space. The authors had
performed a series of magnetohydrodynamic simulations using the University of
Chicago's Flash package to find out whether the interactions between the Solar
Wind and the conducting ring with the electric current would occur. The MHD
simulations gave the results similar to the monte-carlo calculations performed
by dr Charles Danforth [1] from the University of Colorado. It is the authors'
conclusion that the promising results should encourage further study of the
phenomenon and the possibility of using it in practice.


title: Magneto-optical properties of (Ga,Mn)As: an ab--initio determination

abstract:
  The magneto-optical properties of (Ga,Mn)As have been determined within
density functional theory using the highly precise full-potential linear
augmented plane wave (FLAPW) method. A detailed investigation of the electronic
and magnetic properties in connection to the magneto-optic effects is reported.
The spectral features of the optical tensor in the 0-10 eV energy range are
analyzed in terms of the band structure and density of states and the essential
role of the dipole matrix elements is highlighted by means of Brillouin zone
dissection. Using an explicit representation of the Kerr angle in terms of real
and imaginary parts of the tensor components, a careful analysis of the Kerr
spectra is also presented. The results of our study can be summarized as
follows: i) different types of interband transitions do contribute in shaping
the conductivity tensor; ii) the dipole matrix elements are important in
obtaining the correct optical spectra; iii) different regions in the
irreducible Brillouin zone contribute to the conductivity very differently; iv)
a minimum in the Re $\sigma_{xx}$ spectra can give rise to a large Kerr
rotation angle in the same energy region; and v) materials engineering via the
magneto-optical Kerr effect is possible provided that the electronic structure
of the material can be tuned in such a way as to \emph{enhance} the depth of
the minima of Re $\sigma_{xx}$.


title: Subwavelength Nanopatch Cavities for Semiconductor Plasmon Lasers

abstract:
  We propose and analyze a family of nanoscale cavities for electrically-pumped
surface-emitting semiconductor lasers that use surface plasmons to provide
optical mode confinement in cavities which have dimensions in the 100-300 nm
range. The proposed laser cavities are in many ways nanoscale optical versions
of micropatch antennas that are commonly used at microwave/RF frequencies.
Surface plasmons are not only used for mode confinement but also for output
beam shaping to realize single-lobe far-field radiation patterns with narrow
beam waists from subwavelength size cavities. We identify the cavity modes with
the largest quality factors and modal gain, and show that in the near-IR
wavelength range (1.0-1.6 microns) cavity losses (including surface plasmon
losses) can be compensated by the strong mode confinement in the gain region
provided by the surface plasmons themselves and the required material threshold
gain values can be smaller than 700 1/cm.


title:
Experimental realization of a Fabry-Perot-type interferometer by
  co-propagating edge states in the quantum Hall regime

abstract:
  A Fabry-Perot-type interferometer is experimentally realized for electrons in
a semiconductor device. A special experimental geometry creates interference
conditions for co-propagating electrons in quantum Hall edge states, which
results in oscillations of the current through the device. The visibility of
these oscillations is found to increase at the high-field edge of the quantum
Hall plateau.


title: Hard X-ray emission from Eta Carinae

abstract:
  Context : If relativistic particle acceleration takes place in colliding-wind
binaries, hard X-rays and gamma-rays are expected through inverse Compton
emission, but to date these have never been unambiguously detected.
  Aims : To detect this emission, observations of Eta Carinae were performed
with INTEGRAL, leveraging its high spatial resolution.
  Methods : Deep hard X-ray images of the region of Eta Car were constructed in
several energy bands.
  Results : The hard X-ray emission previously detected by BeppoSax around Eta
Car originates from at least 3 different point sources. The emission of Eta Car
itself can be isolated for the first time, and its spectrum unambiguously
analyzed. The X-ray emission of Eta Car in the 22-100 keV energy range is very
hard (photon index around 1) and its luminosity is 7E33 erg/s.
  Conclusions : The observed emission is in agreement with the predictions of
inverse Compton models, and corresponds to about 0.1% of the energy available
in the wind collision. Eta Car is expected to be detected in the GeV energy
range.


title: Study of the Reasons for the Geometric Albedo Variations of Uranus

abstract:
  The method of the optical parameter estimations of the nonisothermal giant
planet atmospheres by using intensity data of Raman scattering features was
used. We applied this method to the observational data of Uranus' geometric
albedo spectra from 1981, 1993 and 1995 and obtained the spectral values of the
optical depth, namely, $\tau_a/\tau_R$ and $\tau_\kappa/\tau_S$ (where
$\tau_a$, $\tau_R$ are aerosol and gas components, $\tau_S=\tau_a+\tau_R$ and
$\tau_\kappa$ is absorption component of the effective optical depth of the
intensity of diffuse - reflected irradiation forming). We showed that these
ratios are different for the three years. The conclusion is that this effect
can be due to the horizontal inhomogeneity of aerosol component of optical
depth over the Uranus' disk.


title: Longitudinal response function of 4He with a realistic force

abstract:
  The longitudinal response function of 4He is calculated with the Argonne V18
potential. The comparison with experiment suggests the need of a three-body
force. When adding the Urbana IX three-body potential in the calculation of the
lower longitudinal multipoles, the total strength is suppressed in the
quasi-elastic peak, towards the trend of the experimental data.


title: Improved one-way rates for BB84 and 6-state protocols

abstract:
  We study the advantages to be gained in quantum key distribution (QKD)
protocols by combining the techniques of local randomization, or noisy
preprocessing, and structured (nonrandom) block codes. Extending the results of
[Smith, Renes, and Smolin, quant-ph/0607018] pertaining to BB84, we improve the
best-known lower bound on the error rate for the 6-state protocol from 14.11%
for local randomization alone to at least 14.59%. Additionally, we also study
the effects of iterating the combined preprocessing scheme and find further
improvements to the BB84 protocol already at small block lengths.


title: Three conjectures on lagrangian tori in the projective plane

abstract:
  In this paper we extend the discussion on Homological Mirror Symmetry for
Fano toric varieties presented by Hori and Vafa to more general case of
monotone symplectic manifolds with real polarizations. We claim that the Hori
-- Vafa prediction, proven by Cho and Oh for toric Fano varieties, can be
checked in much more wider context. Then the notion of Bohr - Sommerfeld with
respect to the canonical class lagrangian submanifold appears and plays an
important role. The discussion presents a bridge between Geometric Quantization
and Homological Mirror Symmetry programmes both applied to the projective plane
in terms of its lagrangian geometry. Due to this relation one could exploit
some standard facts known in GQ to produce results in HMS.


title:
A basis for the polynomial eigenfunctions of deformed
  Calogero-Moser-Sutherland operators

abstract:
  We construct a linear basis for the polynomial eigenfunctions of a family of
deformed Calogero-Moser-Sutherland operators naturally associated with
hypergeometric polynomials. In our construction the eigenfunctions are obtained
as linear combinations of polynomials which generalise the (super) Schur
polynomials. As a byproduct, we obtain explicit series representations for the
super Jack polynomials.


title:
How universal are asymptotics of disconnection times in discrete
  cylinders?

abstract:
  We investigate the disconnection time of a simple random walk in a discrete
cylinder with a large finite connected base. In a recent article of A. Dembo
and the author it was found that for large $N$ the disconnection time of
$G_N\times\mathbb{Z}$ has rough order $|G_N|^2$, when
$G_N=(\mathbb{Z}/N\mathbb{Z})^d$. In agreement with a conjecture by I.
Benjamini, we show here that this behavior has broad generality when the bases
of the discrete cylinders are large connected graphs of uniformly bounded
degree.


title: The Stellar Initial Mass Function at the Epoch of Reionization

abstract:
  I provide estimates of the ultraviolet and visible light luminosity density
at z~6 after accounting for the contribution from faint galaxies below the
detection limit of deep Hubble and Spitzer surveys. I find the rest-frame
V-band luminosity density is a factor of ~2-3 below the ultraviolet luminosity
density at z~6. This implies that the maximal age of the stellar population at
z~6, for a Salpeter initial mass function, and a single, passively evolving
burst, must be <100 Myr. If the stars in z~6 galaxies are remnants of the
star-formation that was responsible for ionizing the intergalactic medium,
reionization must have been a brief process that was completed at z<7. This
assumes the most current estimates of the clumping factor and escape fraction
and a Salpeter slope extending up to 200 M_{\sun} for the stellar initial mass
function (IMF; dN/dM \propto M^{\alpha}, \alpha=-2.3). Unless the ratio of the
clumping factor to escape fraction is less than 60, a Salpeter slope for the
stellar IMF and reionization redshift higher than 7 is ruled out. In order to
maintain an ionized intergalactic medium from redshift 9 onwards, the stellar
IMF must have a slope of \alpha=-1.65 even if stars as massive as ~200 M_{\sun}
are formed. Correspondingly, if the intergalactic medium was ionized from
redshift 11 onwards, the IMF must have \alpha~-1.5. The range of stellar mass
densities at z~6 straddled by IMFs which result in reionization at z>7 is
1.3+/-0.4\times10^{7} Msun/Mpc^3.


title: On the computational complexity of cut-reduction

abstract:
  Using appropriate notation systems for proofs, cut-reduction can often be
rendered feasible on these notations, and explicit bounds can be given.
Developing a suitable notation system for Bounded Arithmetic, and applying
these bounds, all the known results on definable functions of certain such
theories can be reobtained in a uniform way.


title:
Curvature estimates for minimal surfaces with total boundary curvature
  less than 4\pi

abstract:
  We establish a curvature estimate for classical minimal surfaces with total
boundary curvature less than 4\pi. The main application is a bound on the genus
of these surfaces depending solely on the geometry of the boundary curve. We
also prove that the set of simple closed curves with total curvature less than
4\pi and which do not bound an orientable compact embedded minimal surface of
genus greater than g, for any given g, is open in the C^{2,\alpha} topology.


title: Equilateral quantum graphs and boundary triples

abstract:
  The aim of the present paper is to analyse the spectrum of Laplace and Dirac
type operators on metric graphs. In particular, we show for equilateral graphs
how the spectrum (up to exceptional eigenvalues) can be described by a natural
generalisation of the discrete Laplace operator on the underlying graph. These
generalised Laplacians are necessary in order to cover general vertex boundary
conditions on the metric graph. In case of the standard (also named
``Kirchhoff'') boundary conditions, the discrete operator is the usual
combinatorial Laplacian.


title: A Giant Flare from a Soft Gamma Repeater in the Andromeda Galaxy, M31

abstract:
  The light curve, energy spectra, energetics, and IPN localization of an
exceedingly intense short duration hard spectrum burst, GRB 070201, obtained
from Konus-Wind, INTEGRAL (SPI-ACS), and MESSENGER data are presented. The
total fluence of the burst and the peak flux are $S = 2.00_{-0.26}^{+0.10}
\times 10^{-5}$ erg cm$^{-2}$ and $F_{max} = 1.61_{-0.50}^{+0.29} \times
10^{-3}$ erg cm$^{-2}$ s$^{-1}$. The IPN error box has an area of 446 square
arcminutes and covers the peripheral part of the M31 galaxy. Assuming that the
source of the burst is indeed in M31 at a distance of 0.78 Mpc, the measured
values of the fluence $S$ and maximum flux $F_{max}$ correspond to a total
energy of $Q = 1.5 \times 10^{45}$ erg, and a maximum luminosity $L = 1.2
\times 10^{47}$ erg s$^{-1}$. These data are in good agreement with the
corresponding characteristics of the previously observed giant flares from
other soft gamma repeaters. The evidence for the identification of this event
as a giant flare from a soft gamma repeater in the M31 galaxy is presented.


title: To the theory of high-energy elastic nucleon collisions

abstract:
  The commonly used West and Yennie integral formula for the relative phase
between the Coulomb and elastic hadronic amplitudes requires for the phase of
the elastic hadronic amplitude to be constant at all kinematically allowed
values of t. More general interference formula based on the eikonal model
approach does not exhibit such limitation. The corresponding differences will
be demonstrated and some predictions of different phenomenological models for
elastic pp scattering at energy of 14 TeV at the LHC will be given. Special
attention will be devoted to determination of luminosity from elastic
scattering data; it will be shown that the systematic error might reach till 5
% if the luminosity is derived from the values in the center of the
interference region with the help of West and Yennie formula.


title:
Full Counting Statistics of Multiple Andreev Reflections in incoherent
  diffusive superconducting junctions

abstract:
  We present a theory for the full distribution of current fluctuations in
incoherent diffusive superconducting junctions, subjected to a voltage bias.
This theory of full counting statistics of incoherent multiple Andreev
reflections is valid for arbitrary applied voltage. We present a detailed
discussion of the properties of the first four cumulants as well as the low and
high voltage regimes of the full counting statistics. The work is an extension
of the results of Pilgram and the author, Phys. Rev. Lett. 94, 086806 (2005).


title: Elementary Collisions with HADES

abstract:
  The "High Acceptance DiElectron Spectrometer" (HADES) at GSI, Darmstadt, is
investigating the production of e+e- pairs in A+A, p+A and N+N collisions. The
latter program allows for the reconstruction of individual sources. This
strategy will be roughly outlined in this contribution and preliminary pp/pn
data is shown.


title:
Observation of the Decay $B_c^{\pm} \to J/\psi \pi^{\pm}$ and
  Measurement of the $B_c^{\pm}$ Mass

abstract:
  The $B_c^{\pm}$ meson is observed through the decay $B_c^{\pm} \to J/\psi
\pi^{\pm}$, in data corresponding to an integrated luminosity of 2.4 fb$^{-1}$
recorded by the CDF II detector at the Fermilab Tevatron. A signal of
$108\pm15$ candidates is observed, with a significance that exceeds $8 \sigma$.
The mass of the $B_c^{\pm}$ meson is measured to be 6275.6 $\pm$ 2.9 (stat.)
$\pm$ 2.5 (syst.) MeV/$c^2$.


title: Spectral analysis of metric graphs and related spaces

abstract:
  The aim of the present article is to give an overview of spectral theory on
metric graphs guided by spectral geometry on discrete graphs and manifolds. We
present the basic concept of metric graphs and natural Laplacians acting on it
and explicitly allow infinite graphs. Motivated by the general form of a
Laplacian on a metric graph, we define a new type of combinatorial Laplacian.
With this generalised discrete Laplacian, it is possible to relate the spectral
theory on discrete and metric graphs. Moreover, we describe a connection of
metric graphs with manifolds. Finally, we comment on Cheeger's inequality and
trace formulas for metric and discrete (generalised) Laplacians.


title: On The Timescale Forcing in Astrobiology

abstract:
  We investigate the effects of correlated global regulation mechanisms,
especially Galactic gamma-ray bursts (GRBs), on the temporal distribution of
hypothetical inhabited planets, using simple Monte Carlo numerical experiments.
Starting with recently obtained models of planetary ages in the Galactic
Habitable Zone (GHZ), we obtain that the times required for biological
evolution on habitable planets of the Milky Way are highly correlated. These
results run contrary to the famous anti-SETI anthropic argument of Carter, and
give tentative support to the ongoing and future SETI observation projects.


title: The Higgs discovery potential of ATLAS

abstract:
  Higgs boson production and decay at the LHC is described, together with
related ATLAS search channels, in order to provide an overview of the ATLAS
Higgs discovery potential.


title: Skyrmion on a three--cylinder

abstract:
  The class of static, spherically symmetric, and finite energy hedgehog
solutions in the SU(2) Skyrme model is examined on a metric three-cylinder. The
exact analytic shape function of the 1-Skyrmion is found. It can be expressed
via elliptic integrals. Its energy is calculated, and its stability with
respect to radial and spherically symmetric deformations is analyzed. No other
topologically nontrivial solutions belonging to this class are possible on the
three-cylinder.


title:
Residues of Intertwining Operators for Classical Groups with an Appendix
  "$L$-Functions and Poles of Intertwining Operators"

abstract:
  Let $\tilde{G}$ be a symplectic or even orthogonal group over a p-adic field
$F$, and $M$ the Levi factor of a maximal parabolic subgroup of $\tilde{G}$.
Suppose that $M$ has the shape of three blocks of the same size. Let $\pi$ be a
supercuspidal representation of $M$. In this paper we give a simple explicit
expression for the residue of the standard intertwining operator for the
parabolic induction of $\pi$ from $M$ to $G$.


title:
The Circumstellar Environment of High-Mass Protostellar Objects: IV.
  C17O Observations and Depletion

abstract:
  We observe 84 candidate young high-mass sources in the rare isotopologues
C17O and C18O to investigate whether there is evidence for depletion
(freeze-out) towards these objects. Observations of the J=2-1 transitions of
C18O and C17O are used to derive the column densities of gas towards the
sources and these are compared with those derived from submillimetre continuum
observations. The derived fractional abundance suggests that the CO species
show a range of degrees of depletion towards the objects. We then use the
radiative transfer code RATRAN to model a selection of the sources to confirm
that the spread of abundances is not a result of assumptions made when
calculating the column densities. We find a range of abundances of C17O that
cannot be accounted for by global variations in either the temperature or dust
properties and so must reflect source to source variations. The most likely
explanation is that different sources show different degrees of depletion of
the CO. Comparison of the C17O linewidths of our sources with those of CS
presented by other authors reveal a division of the sources into two groups.
Sources with a CS linewidth >3 km/s have low abundances of C17O while sources
with narrower CS lines have typically higher C17O abundances. We suggest that
this represents an evolutionary trend. Depletion towards these objects shows
that the gas remains cold and dense for long enough for the trace species to
deplete. The range of depletion measured suggests that these objects have
lifetimes of 2-4x10^5 years.


title: The Future of Cosmology

abstract:
  This article is the written version of the closing talk presented at the
conference `A Century of Cosmology' held at San Servolo, Italy, in August 2007.
I focus on the prospects of constraining fundamental physics from cosmological
observations, using the search for gravitational waves from inflation and
constraints on the equation of state of dark energy as topical examples. I
argue that it is important to strike a balance between the importance of a
scientific discovery against the likelihood of making the discovery in the
first place. Astronomers should be wary of embarking on large observational
projects with narrow and speculative scientific goals. We should maintain a
diverse range of research programmes as we move into a second century of
cosmology. If we do so, discoveries that will reshape fundamental physics will
surely come.


title: Magnetic bottles on the Poincar\'e half-plane: spectral asymptotics

abstract:
  We consider a magnetic laplacian P(A) on the Poincar\'e half-plane, when the
magnetic field dA is infinite at infinity such that P(A) has pure discret
spectrum. We give the asymptotic behavior of the counting function of the
eigenvalues.


title:
Higher-order-in-spin interaction Hamiltonians for binary black holes
  from source terms of Kerr geometry in approximate ADM coordinates

abstract:
  The Kerr metric outside the ergosphere is transformed into ADM coordinates up
to the orders $1/r^4$ and $a^2$, respectively in radial coordinate $r$ and
reduced angular momentum variable $a$, starting from the Kerr solution in
quasi-isotropic as well as harmonic coordinates. The distributional source
terms for the approximate solution are calculated. To leading order in linear
momenta, higher-order-in-spin interaction Hamiltonians for black-hole binaries
are derived.


title: Study of B0 --> l+l'- decays (l,l' = e,mu)

abstract:
  We present a search for the decays B0 --> e+e-, B0 --> mu+ mu- and B0 --> e
mu using data collected with the BABAR detector at the PEP-II e+e-collider at
SLAC. Using a dataset corresponding to 384 x 10^6 BBbar pairs, we do not find
evidence of any of the three decay modes.
  We obtain upper limit on the branching fractions, at 90% confidence level, of
B(B0 --> e+e-)< 11.3 x 10^{-8}, B(B0 --> mu+ mu-) < 5.2 x 10^{-8}, and B(B0 -->
e mu) < 9.2 x 10^{-8}.


title: Remnant Break-up and Muon Production in Cosmic Ray Air Showers

abstract:
  We discuss the relation between remnant fragmentation in inelastic
high-energy hadronic interactions and muon production in extensive cosmic ray
air showers. Using a newly developed tool, a simple and flexible hadronic event
generator, we analyze the forward region of hadronic interactions. We show that
measurements of the Feynman-x distribution in the beam fragmentation region at
LHCf will be key to understanding muon production in air showers
quantitatively.


title: Phase diagram of anisotropic boson t-J model

abstract:
  We have studied by Quantum Monte Carlo simulations the low temperature phase
diagram of a mixture of isotopic, hard core bosons, described by the t-Jz-Jperp
model, with Jperp=a Jz. Coexistence of superfluid hole-rich and insulating,
antiferromagnetically ordered hole-free phases is observed at sufficiently low
hole density, for any a < 1. A two-component checkerboard supersolid phase is
not observed. The experimental relevance and possible broader implications of
these findings are discussed.


title: Discrete Nondeterminism and Nash Equilibria for Strategy-Based Games

abstract:
  Several notions of game enjoy a Nash-like notion of equilibrium without
guarantee of existence. There are different ways of weakening a definition of
Nash-like equilibrium in order to guarantee the existence of a weakened
equilibrium. Nash's approach to the problem for strategic games is
probabilistic, \textit{i.e.} continuous, and static. CP and BR approaches for
CP and BR games are discrete and dynamic. This paper proposes an approach that
lies between those two different approaches: a discrete and static approach.
multi strategic games are introduced as a formalism that is able to express
both sequential and simultaneous decision-making, which promises a good
modelling power. multi strategic games are a generalisation of strategic games
and sequential graph games that still enjoys a Cartesian product structure,
\textit{i.e.} where agent actually choose their strategies. A pre-fixed point
result allows guaranteeing existence of discrete and non deterministic
equilibria. On the one hand, these equilibria can be computed with polynomial
(low) complexity. On the other hand, they are effective in terms of
recommendation, as shown by a numerical example.


title: Noncommutivity and Scalar Field Cosmology

abstract:
  In this work we extend and apply a previous proposal to study noncommutative
cosmology to the FRW cosmological background coupled to a scalar field, this is
done in classical and quantum scenarios. In both cases noncommutativity is
introduced in the gravitational field as well as in the scalar field through a
deformation of minisuperspace and are able to find exact solutions. Finally,
the effects of noncommutativity on the classical evolution are analyzed.


title: Graphs and Path Equilibria

abstract:
  The quest for optimal/stable paths in graphs has gained attention in a few
practical or theoretical areas. To take part in this quest this chapter adopts
an equilibrium-oriented approach that is abstract and general: it works with
(quasi-arbitrary) arc-labelled digraphs, and it assumes very little about the
structure of the sought paths and the definition of equilibrium, \textit{i.e.}
optimality/stability. In this setting, this chapter presents a sufficient
condition for equilibrium existence for every graph; it also presents a
necessary condition for equilibrium existence for every graph. The necessary
condition does not imply the sufficient condition a priori. However, the
chapter pinpoints their logical difference and thus identifies what work
remains to be done. Moreover, the necessary and the sufficient conditions
coincide when the definition of optimality relates to a total order, which
provides a full-equivalence property. These results are applied to network
routing.


title: Freeware solutions for spectropolarimetric data reduction

abstract:
  Most of the solar physicists use very expensive software for data reduction
and visualization. We present hereafter a reliable freeware solution based on
the Python language. This is made possible by the association of the latter
with a small set of additional libraries developed in the scientific community.
It provides then a very powerful and economical alternative to other
interactive data languages. Although it can also be used for any kind of
post-processing of data, we demonstrate the capabities of such a set of
freeware tools using THeMIS observations of the second solar spectrum.


title: Hypermagnetic Baryogenesis

abstract:
  We study a new scenario for baryogenesis due to the spontaneous breaking of
the $CPT$ invariance through the interaction between a baryon current and a
hypermagnetic helicity. The hypermagnetic helicity (Chern-Simons number) of
$U(1)_Y$ provides a $CPT$ violation background for the generation of baryons
via sphaleron processes, which protects these baryons from the sphaleron
wash-out effect in thermal equilibrium. It is shown that if the present
amplitude of the resultant magnetic fields are sufficiently large, for a wide
range mass scale (from TeV to the Planck scale), the observational magnitude of
the baryon asymmetry of the Universe can be realized.


title: Emptiness formation probability in the domain-wall six-vertex model

abstract:
  The emptiness formation probability in the six-vertex model with domain wall
boundary conditions is considered. This correlation function allows one to
address the problem of limit shapes in the model. We apply the quantum inverse
scattering method to calculate the emptiness formation probability for the
inhomogeneous model. For the homogeneous model, the result is given both in
terms of certain determinant and as a multiple integral representation.


title: On the von Karman-Howarth equations for Hall MHD flows

abstract:
  The von Karman-Howarth equations are derived for three-dimensional (3D) Hall
magnetohydrodynamics (MHD) in the case of an homogeneous and isotropic
turbulence. From these equations, we derive exact scaling laws for the
third-order correlation tensors. We show how these relations are compatible
with previous heuristic and numerical results. These multi-scale laws provide a
relevant tool to investigate the non-linear nature of the high frequency
magnetic field fluctuations in the solar wind or, more generally, in any plasma
where the Hall effect is important.


title: Cold SO_2 molecules by Stark deceleration

abstract:
  We produce SO_2 molecules with a centre of mass velocity near zero using a
Stark decelerator. Since the initial kinetic energy of the supersonic SO_2
molecular beam is high, and the removed kinetic energy per stage is small, 326
deceleration stages are necessary to bring SO_2 to a complete standstill,
significantly more than in other experiments. We show that in such a
decelerator possible loss due to coupling between the motional degrees of
freedom must be considered. Experimental results are compared with 3D
Monte-Carlo simulations and the quantum state selectivity of the Stark
decelerator is demonstrated.


title:
'Jet breaks' and 'missing breaks' in the X-Ray afterglow of Gamma Ray
  Bursts

abstract:
  The X-ray afterglows (AGs) of Gamma-Ray Bursts (GRBs) and X-Ray Flashes
(XRFs) have, after the fast decline phase of their prompt emission, a temporal
behaviour varying between two extremes. A large fraction of these AGs has a
'canonical' light curve which, after an initial shallow-decay 'plateau' phase,
'breaks smoothly' into a fast power-law decline. Very energetic GRBs,
contrariwise, appear not to have a 'break', their AG declines like a power-law
from the start of the observations. Breaks and 'missing breaks' are intimately
related to the geometry and deceleration of the jets responsible for GRBs. In
the frame of the 'cannonball' (CB) model of GRBs and XRFs, we analyze the cited
extreme behaviours (canonical and pure power-law) and intermediate cases
spanning the observed range of X-ray AG shapes. We show that the entire panoply
of X-ray light-curve shapes --measured with Swift and other satellites-- are as
anticipated, on very limpid grounds, by the CB model. We test the expected
correlations between the AG's shape and the peak- and isotropic energies of the
prompt radiation, strengthening a simple conclusion of the analysis of AG
shapes: in energetic GRBs the break is not truly 'missing', it is hidden under
the tail of the prompt emission, or it occurs too early to be recorded. We also
verify that the spectral index of the unabsorbed AGs and the temporal index of
their late power-law decline differ by half a unit, as predicted.


title:
Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete
  Symmetry

abstract:
  We construct a simple model of fermion masses based on a spontaneously broken
S3 X Z3 flavour group. At the leading order, in the neutrino sector S3 is
broken down to a \nu_\mu-\nu_\tau parity subgroup that enforces a maximal
atmospheric mixing angle and a vanishing \theta_{13}. In the charged lepton
sector the \nu_\mu-\nu_\tau parity is maximally broken and the resulting mass
matrix is nearly diagonal. The charged lepton mass hierarchy is automatically
reproduced by the S3 symmetry breaking parameter alone. A careful analysis
shows that, after the inclusion of all relevant subleading effects, the model
predicts \theta_{23}=\pi/4+O(\lambda_c^2) and \theta_{13}=O(\lambda_c^2),
\lambda_c denoting the Cabibbo angle. A simple extension to the quark sector is
also illustrated, where the mass spectrum and the mixing angles are naturally
reproduced, with the exception of the mixing angle between the first two
generations, that requires a small accidental enhancement.


title: Ontology and Formal Semantics - Integration Overdue

abstract:
  In this note we suggest that difficulties encountered in natural language
semantics are, for the most part, due to the use of mere symbol manipulation
systems that are devoid of any content. In such systems, where there is hardly
any link with our common-sense view of the world, and it is quite difficult to
envision how one can formally account for the considerable amount of content
that is often implicit, but almost never explicitly stated in our everyday
discourse. The solution, in our opinion, is a compositional semantics grounded
in an ontology that reflects our commonsense view of the world and the way we
talk about it in ordinary language. In the compositional logic we envision
there are ontological (or first-intension) concepts, and logical (or
second-intension) concepts, and where the ontological concepts include not only
Davidsonian events, but other abstract objects as well (e.g., states,
processes, properties, activities, attributes, etc.) It will be demonstrated
here that in such a framework, a number of challenges in the semantics of
natural language (e.g., metonymy, intensionality, metaphor, etc.) can be
properly and uniformly addressed.


title:
Supersymmetric N=2 Einstein-Yang-Mills monopoles and covariant
  attractors

abstract:
  We present two generic classes of supersymmetric solutions of N=2, d=4
supergravity coupled to non-Abelian vector supermultiplets with a gauge group
that includes an SU(2) factor. The first class consists of embeddings of the 't
Hooft-Polyakov monopole and in the examples considered it has a fully regular,
asymptotically flat space-time metric without event horizons. The other class
of solutions consists of regular non-Abelian extreme black holes. There is a
covariant attractor at the horizon of these non-Abelian black holes.


title:
Binding Energies of the Deuteron, the Neutron and the Alpha Particle
  from a Theoretical Geometric Model

abstract:
  We assume a triple geometric structure for the electromagnetic nuclear
interaction. This nuclear electromagnetism is used to calculate the binding
energies of the deuteron and the neutron. The corresponding Pauli quantum wave
equation in a geometric theory, with the SU(2) electromagnetic coupling instead
of the standard "minimal" coupling, contains a 1/r to-the-fourth-power,
short-range attractive magnetic potential term. This term, produced by the odd
part of the electromagnetic potential, may be responsible for a strong nuclear
interaction. An approximation for the resultant wave equation leads to the
modified Mathieu equation. Completely theoretical calculations give 2.205 Mev,
0.782 Mev and 27.6 Mev for the binding energies of the deuteron, the neutron
and the alpha particle respectively. These values admit correction factors due
to the approximations made.


title: Hard constraint satisfaction problems have hard gaps at location 1

abstract:
  An instance of Max CSP is a finite collection of constraints on a set of
variables, and the goal is to assign values to the variables that maximises the
number of satisfied constraints. Max CSP captures many well-known problems
(such as Max k-SAT and Max Cut) and is consequently NP-hard. Thus, it is
natural to study how restrictions on the allowed constraint types (or
constraint languages) affect the complexity and approximability of Max CSP. The
PCP theorem is equivalent to the existence of a constraint language for which
Max CSP has a hard gap at location 1, i.e. it is NP-hard to distinguish between
satisfiable instances and instances where at most some constant fraction of the
constraints are satisfiable. All constraint languages, for which the CSP
problem (i.e., the problem of deciding whether all constraints can be
satisfied) is currently known to be NP-hard, have a certain algebraic property.
We prove that any constraint language with this algebraic property makes Max
CSP have a hard gap at location 1 which, in particular, implies that such
problems cannot have a PTAS unless P = NP. We then apply this result to Max CSP
restricted to a single constraint type; this class of problems contains, for
instance, Max Cut and Max DiCut. Assuming P $\neq$ NP, we show that such
problems do not admit PTAS except in some trivial cases. Our results hold even
if the number of occurrences of each variable is bounded by a constant. We use
these results to partially answer open questions and strengthen results by
Engebretsen et al. [Theor. Comput. Sci., 312 (2004), pp. 17--45], Feder et al.
[Discrete Math., 307 (2007), pp. 386--392], Krokhin and Larose [Proc.
Principles and Practice of Constraint Programming (2005), pp. 388--402], and
Jonsson and Krokhin [J. Comput. System Sci., 73 (2007), pp. 691--702]


title:
Radio pulses from cosmic ray air showers - Boosted Coulomb and Cherenkov
  fields

abstract:
  High-energy cosmic rays passing through the Earth's atmosphere produce
extensive showers whose charges emit radio frequency pulses. Despite the low
density of the Earth's atmosphere, this emission should be affected by the air
refractive index because the bulk of the shower particles move roughly at the
speed of radio waves, so that the retarded altitude of emission, the
relativistic boost and the emission pattern are modified. We consider in this
paper the contribution of the boosted Coulomb and the Cherenkov fields and
calculate analytically the spectrum using a very simplified model in order to
highlight the main properties. We find that typically the lower half of the
shower charge energy distribution produces a boosted Coulomb field, of
amplitude comparable to the levels measured and to those calculated previously
for synchrotron emission. Higher energy particles produce instead a
Cherenkov-like field, whose amplitude may be smaller because both the negative
charge excess and the separation between charges of opposite signs are small at
these energies.


title:
Perturbative approach for mass varying neutrinos coupled to the dark
  sector in the generalized Chaplygin gas scenario

abstract:
  We suggest a perturbative approach for generic choices for the universe
equation of state and introduce a novel framework for studying mass varying
neutrinos (MaVaN's) coupled to the dark sector. For concreteness, we examine
the coupling between neutrinos and the underlying scalar field associated with
the generalized Chaplygin gas (GCG), a unification model for dark energy and
dark matter. It is shown that the application of a perturbative approach to
MaVaN mechanisms translates into a constraint on the coefficient of a linear
perturbation, which depends on the ratio between a neutrino energy dependent
term and scalar field potential terms. We quantify the effects on the MaVaN
sector by considering neutrino masses generated by the seesaw mechanism. After
setting the GCG parameters in agreement with general cosmological constraints,
we find that the squared speed of sound in the neutrino-scalar GCG fluid is
naturally positive. In this scenario, the model stability depends on previously
set up parameters associated with the equation of state of the universe. Our
results suggest that the GCG is a particularly suitable candidate for
constructing a stable MaVaN scenario.


title: Completely positive maps and extremal K-set

abstract:
  We explain how to find the KK-theoretic counterpart of extremal K-set defined
by Larry Brown and Gert Pedersen.


title: GeV emission from Gamma-Ray Burst afterglows

abstract:
  We calculate the GeV afterglow emission expected from a few mechanisms
related to GRBs and their afterglows. Given the brightness of the early X-ray
afterglow emission measured by Swift/XRT, GLAST/LAT should detect the
self-Compton emission from the forward-shock driven by the GRB ejecta into the
circumburst medium. Novel features discovered by Swift in X-ray afterglows
(plateaus and chromatic light-curve breaks) indicate the existence of a
pair-enriched, relativistic outflow located behind the forward shock. Bulk and
inverse-Compton upscattering of the prompt GRB emission by such outflows
provide another source of GeV afterglow emission detectable by LAT. The
large-angle burst emission and synchrotron forward-shock emission are, most
likely, too dim at high photon energy to be observed by LAT. The spectral slope
of the high-energy afterglow emission and its decay rate (if it can be
measured) allow the identification of the mechanism producing the GeV transient
emission following GRBs.


title:
Fractional magnetization plateaus and magnetic order in the Shastry
  Sutherland magnet TmB4

abstract:
  We investigate the phase diagram of TmB4, an Ising magnet on a frustrated
Shastry-Sutherland lattice by neutron diffraction and magnetization
experiments. At low temperature we find Neel order at low field, ferrimagnetic
order at high field and an intermediate phase with magnetization plateaus at
fractional values M/Msat = 1/7, 1/8, 1/9 ... and spatial stripe structures.
Using an effective S = 1/2 model and its equivalent two-dimensional (2D)
fermion gas we suggest that the magnetic properties of TmB4 are related to the
fractional quantum Hall effect of a 2D electron gas.


title: Massive Connection Bosons

abstract:
  It is shown that geometric connection field excitations acquire mass terms
from a geometric background substratum related to the structure of space-time.
Commutation relations in the electromagnetic su(2) sector of the connection
limit the number of possible masses. Calculated results, within corrections of
order alpha, are very close to the experimental masses of the intermediate W, Z
bosons.


title:
Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge
  knots

abstract:
  We prove that, for a hyperbolic two bridge knot, infinitely many Dehn
fillings are rigid in $SO_0(4,1)$. Here rigidity means that any discrete and
faithful representation in $SO_0(4,1)$ is conjugate to the holonomy
representation in $SO_0(3,1)$. We also show local rigidity for almost all Dehn
fillings.


title: Initial Magnetization of Galaxies by Exploding, Magnetized Stars

abstract:
  We conduct a series of magnetohydrodynamical (MHD) simulations of magnetized
interstellar medium (ISM) disturbed by exploding stars. Each star deposits a
randomly oriented, dipolar magnetic field into ISM. The simulations are
performed in a Cartesian box, in a reference frame that is corotating with the
galactic disk. The medium is stratified by vertical galactic gravity. The
resulting turbulent state of ISM magnetized by the stellar explosions is
processed with the aid of Fourier analysis. The results leads to the conclusion
that the input of magnetic energy from exploding stars is additionally
multiplied by differential rotation. The resulting magnetic field appears to
grow up in small-scale component, while the total magnetic flux remains
limited. Our results indicate that magnetic field originating from exploding
stars can be a source of initial magnetic fields for a subsequent dynamo
process.


title:
A sample of mJy radio sources at 1.4 GHz in the Lynx and Hercules fields
  - II. Cosmic evolution of the space density of FRI radio sources

abstract:
  In this paper the cosmic evolution of the space density of Fanaroff & Riley
Class I (FRI) radio sources is investigated out to z ~ 1, in order to
understand the origin of the differences between these and the more powerful
FRIIs. High resolution radio images are presented of the best high redshift FRI
candidate galaxies, drawn from two fields of the Leiden Berkeley Deep Survey,
and previously defined in Rigby, Snellen & Best (2007, Paper I). Together with
lower resolution radio observations (both previously published in Paper I and,
for a subset of sources, also presented here) these are used to morphologically
classify the sample. Sources which are clearly resolved are classified by
morphology alone, whereas barely or unresolved sources were classified using a
combination of morphology and flux density loss in the higher resolution data,
indicative of resolved out extended emission. The space densities of the FRIs
are then calculated as a function of redshift, and compared to both
measurements of the local value and the behaviour of the more powerful FRIIs.
The space density of FRI radio sources with luminosities (at 1.4 GHz) > 10^25
W/Hz is enhanced by a factor of 5-9 by z ~ 1, implying moderately strong
evolution of this population; this enhancement is in good agreement with models
of FRII evolution at the same luminosity. There are also indications that the
evolution is luminosity dependent, with the lower powered sources evolving less
strongly.


title:
Duplicity and Evolution Status of the Early-Type Be Star V622 Per, the
  Member of the ChiPer Open Star Cluster

abstract:
  Radial velocities analysis based on high-resolution spectra, obtained in the
H$\alpha$ region and low resolution spectra obtained in the region 4420-4960\AA
together with radial velocities, taken from other published sources allow us to
calculate orbital parameters of the massive binary system V622 Per. It is shown
that the system has an orbital period 5.214(29) days, T$_0$ = 2450661(4) and is
a post mass transfer binary. From light curve analysis of the ellipsoidal
variability we obtained inclination angle of the system and temperature of the
components. Luminosity ration of the components was found of about 4:1.
T$_{eff}$ and $log g$ were estimated for each component. It is shown that
primary, less massive but more bright star, is an evolved object that has lost
large part of its mass during the evolution. Estimations of chemical
composition of the primary show noticeable enrichment by products of the CNO
cycles. E.g. He/H reaches 0.18, nitrogen is in excess of about 0.5 dex, carbon
has low abundances (by 2-3 dex lower) and oxygen has 1 dex lower than solar
abundance. The possible evolution of the binary with the known age 14 Myrs is
discussed.


title: Quantum-limited position measurements of a dark matter-wave soliton

abstract:
  We show that the position of a dark matter-wave soliton can be determined
with a precision that scales with the atomic density as $n^{-3/4}$. This
surpasses the standard shot-noise detection limit for independent particles,
without use of squeezing and entanglement, and it suggests that interactions
among particles may present new advantages in high-precision metrology. We also
take into account quantum density fluctuations due to phonon and Goldstone
modes and we show that they, somewhat unexpectedly, actually improve the
resolution. This happens because the fluctuations depend on the soliton
position and make a larger amount of information available.


title: Study of $T'$ Flavor Symmetry

abstract:
  A systematic study of the flavor group $T^{'}$ is presented in terms of a
specific model which extends the standard model symmetry to $[SU(3) \times
SU(2) \times U(1)]_{(local)} \times [T^{'} \times Z_2 \times Z_2^{'} \times
Z_2^{''}]_{(global)}$. In the model, approximate tribimaximal mixing occurs in
the neutrino sector. There is also one new formula relating a quark mixing
parameter to quark masses. Most exciting are new formulas relating lepton and
quark mixing parameters of the type usually associated with grand unification
but here relying only on the group structure of $T^{'}$. Flavor-changing
neutral currents in the model lead to lower bounds on scalar masses.


title: Distribution of X-ray Emission from Jet Knots of 3C273

abstract:
  The jet of the quasar 3C273 is observed at different spectral bands. This jet
has a knot structure. Jet radiation in radio and optical bands are connected
with synchrotron mechanism, while the emission mechanism producing the X-rays
is controversial. We suppose that the X-rays observed for two knots nearest to
the quasar can originate from the inverse Compton scattering of external source
radiation on relativistic electrons. But in the jet region with constant low
X-ray intensity the inverse Compton scattering on cosmic microwave background
photons (IC/CMB) is essential because the energy density of external source
decreases. Upon this scenario the constraints on the angle between the jet axis
and line sight values have been obtained. Also, some physical parameters for
two nearest knots of the jet of 3C273 have been estimated.


title: Decameter Type III-Like Bursts

abstract:
  Starting from 1960s Type III-like bursts (Type III bursts with high drift
rates) in a wide frequency range from 300 to 950MHz have been observed. These
new bursts observed at certain frequency being compared to the usual Type III
bursts at the same frequency show similar behaviour but feature frequency drift
2-6 times higher than the normal bursts. In this paper we report the first
observations of Type III-like bursts in decameter range, carried out during
summer campaigns 2002 - 2004 at UTR-2 radio telescope. The circular
polarization of the bursts was measured by the radio telescope URAN-2 in 2004.
The observed bursts are analyzed and compared with usual Type III bursts in the
decameter range. From the analysis of over 1100 Type III-like bursts, their
main parameters have been found. Characteristic feature of the observed bursts
is similar to Type III-like bursts at other frequencies, i.e. measured drift
rates (5-10 MHz/s) of this bursts are few times larger than that for usual Type
III bursts, and their durations (1-2 s) are few times smaller than that for
usual Type III bursts in this frequency band.


title: The First Steps of Radio Astronomy in Czestochowa

abstract:
  In the paper, technical documentation and the principle of operation is
presented. "KLAUDIA" radio telescope was built in Rabka in 2007 and it is used
to receive secondary radio waves, emitted by the Earth's ionosphere at
frequency of 40 kHz.


title: Science with the new generation high energy gamma- ray experiments

abstract:
  This Conference is the fifth of a series of Workshops on High Energy Gamma-
ray Experiments, following the Conferences held in Perugia 2003, Bari 2004,
Cividale del Friuli 2005, Elba Island 2006. This year the focus was on the use
of gamma-ray to study the Dark Matter component of the Universe, the origin and
propagation of Cosmic Rays, Extra Large Spatial Dimensions and Tests of Lorentz
Invariance.


title: Dynamic Multilevel Graph Visualization

abstract:
  We adapt multilevel, force-directed graph layout techniques to visualizing
dynamic graphs in which vertices and edges are added and removed in an online
fashion (i.e., unpredictably). We maintain multiple levels of coarseness using
a dynamic, randomized coarsening algorithm. To ensure the vertices follow
smooth trajectories, we employ dynamics simulation techniques, treating the
vertices as point particles. We simulate fine and coarse levels of the graph
simultaneously, coupling the dynamics of adjacent levels. Projection from
coarser to finer levels is adaptive, with the projection determined by an
affine transformation that evolves alongside the graph layouts. The result is a
dynamic graph visualizer that quickly and smoothly adapts to changes in a
graph.


title: Detection of Small Kuiper Belt Objects by Stellar Occultations

abstract:
  Knowledge of the Kuiper Belt is currently limited to those objects that can
be detected directly. Objects with diameters less than $\sim$10km reflect too
little light to be detected. These smaller bodies could contain most of the
mass in the Kuiper Belt while the abundance of these bodies may constrain the
distribution of mass. The overall size distribution of bodies within the Kuiper
Belt can also be inferred from the relative abundances of sub-km and larger
bodies. Stellar occultations are already used to study dark objects in the
Solar System, such as asteroids or planetary rings. Occultation by a KBO of a
size comparable to, or larger than, that of the Fresnel Scale will result in
Fresnel diffraction. Detection of diffraction effects requires fast
multiple-star photometry, which will be conducted in July 2007 using the
Orthogonal Parallel Transfer Imaging Camera (OPTIC) mounted on the University
of Hawaii 2.2m telescope on Mauna Kea. This paper details how knowledge of the
mass and structure of the outer Solar System may be obtained through the
detection of serendipitous stellar occultations.


title: Adding a uniton via the DPW method

abstract:
  In this paper we describe how the operation of adding a uniton arises via the
DPW method of obtaining harmonic maps into compact Riemannian symmetric spaces
out of certain holomorphic one forms. We exploit this point of view to
investigate which unitons preserve finite type property of harmonic maps. In
particular, we prove that the Gauss bundle of a harmonic map of finite type
into a Grassmannian is also of finite type.


title: Evaluation of Optical Magnitude of Deep Space Spacecraft

abstract:
  Optical-electric technology can measure the tangential position and velocity
of spacecraft. To know the feasibility of the use of optical-electric
technology, it is necessary to estimate the magnitude of spacecraft first.
Since the spacecrafts are non-self-illumination objects, the estimation
formulas of the optical magnitude of spacecraft is constructed according to the
radiation theory and the extra-atmospheric radiant emittance of the Sun in the
visible light wave band. Taking Chang'e-1 as an example, the magnitude of it in
different situations is calculated.


title: Puzzling Phenomenon of Diffuse Interstellar Bands

abstract:
  The discovery of the first diffuse interstellar bands (DIBs) dates back to
the pioneering years of stellar spectroscopy. Today, we know about 300
absorption structures of this kind. There exists a great variety of the
profiles and intensities of DIBs, so they can not be readily described,
classified or characterized. To the present day no reliable identification of
the DIBs' carriers has been found. Many carriers of DIBs have been proposed
over the years. They ranged from dust grains to free molecules of different
kinds, and to more exotic specimens, like hydrogen negative ion. Unfortunately,
none of them is responsible for observed DIBs. Furthermore, it was shown that a
single carrier cannot be responsible for all known DIBs. It is hard to estimate
how many carriers can participate in producing these bands. The problem is
further complicated by the fact that to this day it is still impossible to find
any laboratory spectrum of any substance which would match the astrophysical
spectra. Here, a historical outline concerning DIBs is followed by a brief
description of their whole population. Then, a special attention is focused on
the procedures trying to extract spectroscopic families within the set of all
known DIBs.


title:
Computational analysis of folding and mutation properties of C5 domain
  from Myosin binding protein C

abstract:
  Thermal folding Molecular Dynamics simulations of the domain C5 from Myosin
Binding Protein C were performed using a native-centric model to study the role
of three mutations related to Familial Hypertrophic Cardiomyopathy. Mutation of
Asn755 causes the largest shift of the folding temperature, and the residue is
located in the CFGA' beta-sheet featuring the highest Phi-values. The mutation
thus appears to reduce the thermodynamic stability in agreement with
experimental data. The mutations on Arg654 and Arg668, conversely, cause a
little change in the folding temperature and they reside in the low Phi-value
BDE beta-sheet, so that their pathologic role cannot be related to impairment
of the folding process but possibly to the binding with target molecules. As
the typical signature of Domain C5 is the presence of a longer and
destabilizing CD-loop with respect to the other Ig-like domains we completed
the work with a bioinformatic analysis of this loop showing a high density of
negative charge and low hydrophobicity. This indicates the CD-loop as a
natively unfolded sequence with a likely coupling between folding and ligand
binding.

categories: q-bio.GN cond-mat.soft cond-mat.stat-mech q-bio.BM


title: Hyperbolic Balance Laws with a Dissipative Non Local Source

abstract:
  This paper considers systems of balance law with a dissipative non local
source. A global in time well posedness result is obtained. Estimates on the
dependence of solutions from the flow and from the source term are also
provided. The technique relies on a recent result on quasidifferential
equations in metric spaces.


title:
Simulation of the Continuous Spectrum of Substars with Protoplanetary
  Discs

abstract:
  The continuous spectra of the substars with surrounding protoplanetary disks
were calculated. The results reveal that protoplanetary disc average
temperature decreases to 3 K during the period of 5 Myr for substars with
masses 0.01M_{Sun} and during the period of 160 Myr for substars with masses
0.08M_{Sun}. Estimations of protoplanetary discs flux maximum depending on the
substar mass at the age of 1 Myr are: 4.6 kJy (for 0.01M_{Sun}) and 3.4 MJy
(for 0.08M_{Sun}). Maximum of protoplanetary disc radiation before it reaches
the temperature of the cosmic microwave background changes within the ranges:
from 0.07 mm to 0.58 mm (for substar mass 0.01M_{Sun}) and from 0.02 mm to 0.29
mm (for substar mass 0.08M_{Sun}).


title: On Transverse Knots and Branched Covers

abstract:
  We study contact manifolds that arise as cyclic branched covers of transverse
knots in the standard contact 3-sphere. We discuss properties of these contact
manifolds and describe them in terms of open books and contact surgeries. In
many cases we show that such branched covers are contactomorphic for smoothly
isotopic transverse knots with the same self-linking number. These pairs of
knots include most of the non-transversely simple knots of Birman-Menasco and
Ng-Ozsvath-Thurston.


title:
Methanol Masers Observations in the 3-mm Bandwidth at the Radio
  Telescope RT-22 CrAO

abstract:
  We report the beginning of the astronomical masers investigations in the 3-mm
bandwidth at the radio telescope RT-22 (CrAO, Ukraine). For this purpose the
special complex for maser lines investigation in 85...115 GHz frequency band is
developed. It is made on the base of the low noise cryogenic Shottky-diode
receiver and the high resolution Fourier-spectrometer. The cryogenic receiver
has the DSB noise temperature less than 100K. The spectral channel separation
of the Fourier-spectrometer is about 4kHz and the spectrometer bandwidth is 8
MHz. Results of maser observations of 8$^{0}-7^{1} $A$^{+}$ transition of
methanol (95.169 GHz) towards DR-21(OH), DR-21W and NGC7538 are in good
agreement with early obtained results by other authors. On the basis of the
analysis of the location of masers in the NGC7538 direction we can assume that
the origin of all known class I methanol masers in this region is connected
with existing molecular outflows from young stars.


title: Cosmological constant and lensing

abstract:
  The effect of the cosmological constant on the curvature of light due to an
isolated spherical mass is recalculated without using the lens equation and
compared to a lensing cluster.


title:
The Lefschetz property for barycentric subdivisions of shellable
  complexes

abstract:
  We show that an 'almost strong Lefschetz' property holds for the barycentric
subdivision of a shellable complex. From this we conclude that for the
barycentric subdivision of a Cohen-Macaulay complex, the $h$-vector is
unimodal, peaks in its middle degree (one of them if the dimension of the
complex is even), and that its $g$-vector is an $M$-sequence. In particular,
the (combinatorial) $g$-conjecture is verified for barycentric subdivisions of
homology spheres. In addition, using the above algebraic result, we derive new
inequalities on a refinement of the Eulerian statistics on permutations, where
permutations are grouped by the number of descents and the image of 1.


title:
The influence of structural short-range order on the phase diagrams of
  diluted FCC magnet with arbitrary spin and modified RKKY interaction

abstract:
  A diluted FCC magnet with modified long-range RKKY interaction and arbitrary
Ising spin S is considered within two-sublattice model. In the molecular field
approximation the Gibbs free-energy is derived, from which all magnetic
thermodynamic properties can be self-consistently obtained. In particular, the
phase diagrams are studied for different magnetic ion and free-charge
concentration, the atomic short-range-order (Warren-Cowley) parameter being
taken into account.


title:
Size of spectroscopic calibration samples for cosmic shear photometric
  redshifts

abstract:
  Weak gravitational lensing surveys using photometric redshifts can have their
cosmological constraints severely degraded by errors in the photo-z scale. We
explore the cosmological degradation vs the size of the spectroscopic survey
required to calibrate the photo-z probability distribution. Previous work has
assumed a simple Gaussian distribution of photo-z errors; here we describe a
method for constraining an arbitrary parametric photo-z error model. As an
example we allow the photo-z probability distribution to be the sum of $N_g$
Gaussians. To limit cosmological degradation to a fixed level, photo-z models
with multiple Gaussians require up to 5 times larger calibration sample than
one would estimate from assuming a single-Gaussian model. This degradation
saturates at $N_g\approx 4$. Assuming a single Gaussian when the photo-z
distribution has multiple parameters underestimates cosmological parameter
uncertainties by up to 35%. The size of required calibration sample also
depends upon the shape of the fiducial distribution, even when the RMS photo-z
error is held fixed. The required calibration sample size varies up to a factor
of 40 among the fiducial models studied, but this is reduced to a factor of a
few if the photo-z parameters are forced to be slowly varying with redshift.
Finally we show that the size of the required calibration sample can be
substantially reduced by optimizing its redshift distribution. We hope this
study will help stimulate work on better understanding of photo-z errors.


title:
The Population of Dark Matter Subhaloes: Mass Functions and Average Mass
  Loss Rates

abstract:
  Using a cosmological N-Body simulation and a sample of re-simulated
cluster-like haloes, we study the mass loss rates of dark matter subhaloes, and
interpret the mass function of subhaloes at redshift zero in terms of the
evolution of the mass function of systems accreted by the main halo progenitor.
When expressed in terms of the ratio between the mass of the subhalo at the
time of accretion and the present day host mass the unevolved subhalo mass
function is found to be universal. However, the subhalo mass function at
redshift zero clearly depends on $M_0$, in that more massive host haloes host
more subhaloes. To relate the unevolved and evolved subhalo mass functions, we
measure the subhalo mass loss rate as a function of host mass and redshift. We
find that the average, specific mass loss rate of dark matter subhaloes depends
mainly on redshift. These results suggest a pleasingly simple picture for the
evolution and mass dependence of the evolved subhalo mass function. Less
massive host haloes accrete their subhaloes earlier, which are thus subjected
to mass loss for a longer time. In addition, their subhaloes are typically
accreted by denser hosts, which causes an additional boost of the mass loss
rate. To test the self-consistency of this picture, we use a merger trees
constructed using the extended Press-Schechter formalism, and evolve the
subhalo populations using the average mass loss rates obtained from our
simulations, finding the subhalo mass functions to be in good agreement with
the simulations. [abridged]


title: Temperature Relaxation in Hot Dense Hydrogen

abstract:
  Temperature equilibration of hydrogen is studied for conditions relevant to
inertial confinement fusion. New molecular-dynamics simulations and results
from quantum many-body theory are compared with Landau-Spitzer (LS) predictions
for temperatures T from 50 eV to 5000 eV, and densities with Wigner-Seitz radii
r_s = 1.0 and 0.5. The relaxation is slower than the LS result, even for
temperatures in the keV range, but converges to agreement in the high-T limit.

categories: cond-mat.str-el astro-ph cond-mat.stat-mech nucl-th physics.plasm-ph


title: Microcavity polariton light emitting diode

abstract:
  Cavity polaritons have been shown these last years to exhibit a rich variety
of non-linear behaviors which could be used in new polariton based devices.
Operation in the strong coupling regime under electrical injection remains a
key step toward a practical polariton device. We report here on the realization
of a polariton based light emitting diode using a GaAs microcavity with doped
Bragg mirrors. Both photocurrent and electroluminescence spectra are governed
by cavity polaritons up to 100 K.


title: Plate Acoustic Waves in ZX-cut Lithium Niobate

abstract:
  Plate acoustic waves (PAW) propagating along X-axis in the Z-cut wafer of a
single crystal of lithium niobate are considered theoretically and
experimentally. For eight lowest PAW modes, the dispersion curves for
wavenumber k(f) are calculated by the equations of motion and electrodynamics,
by the Finite Element Method, and then measured experimentally. The spectra
k(f) obtained by the numerical solution and FEM-simulation are in good
agreement, and experimental measurements agree with theoretical predictions.
The PAW modes are identified by the components of their total acoustic
displacements and cutoff frequencies. Analysis of the longitudinal and normal
acoustical displacements permits to find PAW mode capable for usage in
ultrasonic actuators. The results obtained may be useful for ultrasonic
transducers, acousto-electronic and acousto-optic applications, and ultrasonic
motors/actuators fabricated in the Z-cut ferroelectric lithium niobate wafers
including periodically poled wave-guides.


title: Evidence for D0-D0bar mixing using the CDF II Detector

abstract:
  We measure the time dependence of the ratio of decay rates for the rare decay
D0->K+pi- to the Cabibbo-favored decay D0->K-pi+. We use a signal of 12.7 x10^3
D0->K+pi decays with proper decay times between 0.75 and 10 mean D0 lifetimes.
The data sample was recorded with the CDF II detector at the Fermilab Tevatron
and corresponds to an integrated luminosity of 1.5 fb-1 of p-pbar collisions at
sqrt(s) = 1.96 TeV. We search for D0-D0bar mixing and measure the mixing
parameters to be Rd = (3.04 +/- 0.55) x10^{-3}, y' = (8.5 +/- 7.6) x10^{-3},
and x'^2 = (-0.12 +/- 0.35) x10^{-3}. We report Bayesian probability contours
in the x'^2-y' plane and find that the data are inconsistent with the no-mixing
hypothesis with a probability equivalent to 3.8 Gaussian standard deviations.


title: Symplectic reflection algebras

abstract:
  We survey recent results on the representation theory of symplectic
reflection algebras, focusing particularly on connections with symplectic
quotient singularities and their resolutions, spaces of representations of
quivers, and on category O.


title:
Thermal D-brane boundary states from type IIB Green-Schwarz superstring
  in pp-wave background

abstract:
  We construct the thermal boundary states from the type IIB Green-Schwarz
superstring in {\em pp}-wave background in the light-cone gauge. The
superstring is treated in the canonical ensemble and in the TFD formalism which
is appropriate to discuss quantum systems in the canonical quantization. The
thermal boundary states are obtained by thermalizing the total boundary states
which are the boundary states of the total system that is composed by the
superstring modes and the corresponding thermal reservoir modes. That analysis
is similar to the one in the flat spacetime case \cite{ivv12}. However, there
are some subtleties concerning the construction of the total string which are
discussed. Next, we compute the entropy of thermal boundary state which is
defined as the expectation value of the superstring entropy operator in the
thermal boundary state.


title: Stochastic Completeness of Graphs

abstract:
  In this thesis, we analyze the stochastic completeness of a heat kernel on
graphs which is a function of three variables: a pair of vertices and a
continuous time, for infinite, locally finite, connected graphs. For general
graphs, a sufficient condition for stochastic completeness is given in terms of
the maximum valence on spheres about a fixed vertex. That this result is
optimal is shown by studying a particular family of trees. We also prove a
lower bound on the bottom of the spectrum for the discrete Laplacian and use
this lower bound to show that in certain cases the Laplacian has empty
essential spectrum.


title: Detection of an intergalactic meteor particle with the 6-m telescope

abstract:
  On July 28, 2006 the 6-m telescope of the Special Astrophysical Observatory
of the Russian Academy of Sciences recorded the spectrum of a faint meteor. We
confidently identify the lines of FeI and MgI, OI, NI and molecular-nitrogen
N_2 bands. The entry velocity of the meteor body into the Earth's atmosphere
estimated from radial velocity is equal to 300 km/s. The body was several tens
of a millimeter in size, like chondrules in carbon chondrites. The radiant of
the meteor trajectory coincides with the sky position of the apex of the motion
of the Solar system toward the centroid of the Local Group of galaxies.
Observations of faint sporadic meteors with FAVOR TV CCD camera confirmed the
radiant at a higher than 96% confidence level. We conclude that this meteor
particle is likely to be of extragalactic origin. The following important
questions remain open: (1) How metal-rich dust particles came to be in the
extragalactic space? (2) Why are the sizes of extragalactic particles larger by
two orders of magnitude (and their masses greater by six orders of magnitude)
than common interstellar dust grains in our Galaxy? (3) If extragalactic dust
surrounds galaxies in the form of dust (or gas-and-dust) aureoles, can such
formations now be observed using other observational techniques (IR
observations aboard Spitzer satellite, etc.)? (4) If inhomogeneous
extragalactic dust medium with the parameters mentioned above actually exists,
does it show up in the form of irregularities on the cosmic microwave
background (WMAP etc.)?


title:
Good Reductions of Shimura Varieties of Hodge Type in Arbitrary
  Unramified Mixed Characteristic, Part II

abstract:
  We prove a conjecture of Milne pertaining to the existence of integral
canonical models of Shimura varieties of abelian type in arbitrary unramified
mixed characteristic $(0,p)$. As an application we prove for $p=2$ a motivic
conjecture of Milne pertaining to integral canonical models of Shimura
varieties of Hodge type.


title: Constructive use of holographic projections

abstract:
  Revisiting the old problem of existence of interacting models of QFT with new
conceptual ideas and mathematical tools, one arrives at a novel view about the
nature of QFT. The recent success of algebraic methods in establishing the
existence of factorizing models suggests new directions for a more intrinsic
constructive approach beyond Lagrangian quantization. Holographic projection as
a simplifying tool for certain aspects of QFT turn out to be an indispensible
part of these new attempts.


title: Character sums to smooth moduli are small

abstract:
  Recently, Granville and Soundararajan have made fundamental breakthroughs in
the study of character sums. Building on their work and using estimates on
short character sums developed by Graham-Ringrose and Iwaniec, we improve the
Polya-Vinogradov inequality for characters with smooth conductor.


title:
Fundamental properties and applications of quasi-local black hole
  horizons

abstract:
  The traditional description of black holes in terms of event horizons is
inadequate for many physical applications, especially when studying black holes
in non-stationary spacetimes. In these cases, it is often more useful to use
the quasi-local notions of trapped and marginally trapped surfaces, which lead
naturally to the framework of trapping, isolated, and dynamical horizons. This
framework allows us to analyze diverse facets of black holes in a unified
manner and to significantly generalize several results in black hole physics.
It also leads to a number of applications in mathematical general relativity,
numerical relativity, astrophysics, and quantum gravity. In this review, I will
discuss the basic ideas and recent developments in this framework, and
summarize some of its applications with an emphasis on numerical relativity.


title: A simple proof for the existence of Zariski decompositions on surfaces

abstract:
  In this note we give a quick and simple proof of the existence (and
uniqueness) of Zariski decompositions on surfaces. While Zariski's original
proof employs a rather sophisticated procedure to construct the negative part
of the decomposition, the present approach is based on the idea that the
positive part can be constructed from a maximality condition. It may also be
useful that this approach yields a practical algorithm for the computation of
the positive part.


title:
A time of flight method to measure the speed of sound using a stereo
  sound card

abstract:
  We present an inexpensive apparatus for measuring the speed of sound, with a
time of flight method, using a computer with a stereo sound board. Students
measure the speed of sound by timing the delay between the arrivals of a pulse
to two microphones placed at different distances from the source. It can serve
as a very effective demonstration, providing a quick measurement of the speed
of sound in air; we have used it with great success in Open Days in our
Department. It can also be used for a full fledged laboratory determination of
the speed of sound in air.


title: The cross-correlation search for periodic gravitational waves

abstract:
  In this paper we study the use of cross-correlations between multiple
gravitational wave (GW) data streams for detecting long-lived periodic signals.
Cross-correlation searches between data from multiple detectors have
traditionally been used to search for stochastic GW signals, but recently they
have also been used in directed searches for periodic GWs. Here we further
adapt the cross-correlation statistic for periodic GW searches by taking into
account both the non-stationarity and the long term-phase coherence of the
signal. We study the statistical properties and sensitivity of this search, its
relation to existing periodic wave searches, and describe the precise way in
which the cross-correlation statistic interpolates between semi-coherent and
fully-coherent methods. Depending on the maximum duration over we wish to
preserve phase coherence, the cross-correlation statistic can be tuned to go
from a standard cross-correlation statistic using data from distinct detectors,
to the semi-coherent time-frequency methods with increasing coherent time
baselines, and all the way to a full coherent search. This leads to a unified
framework for studying periodic wave searches and can be used to make informed
trade-offs between computational cost, sensitivity, and robustness against
signal uncertainties.


title: Astrophysical Limits on Lorentz Violation for Pions

abstract:
  Pions, like nucleons, are composed primarily of up and down quarks and
gluons. Constraints on spin-independent Lorentz violation in the proton,
neutron, and pion sectors translate into bounds on Lorentz violation for the
fundamental fields. The best bounds on pion Lorentz violation come from
astrophysical measurements. The absence of the absorption process gamma -->
pi^(+) + pi^(-) for up to 50 TeV photons constrains the possibility that pions'
maximum achievable velocities are less than 1 at the 1.5 x 10^(-11) level. The
fact that pions with energies up to 30 TeV are observed to decay into photons
rather than hadrons bounds the possibility of a maximum velocity greater than 1
at the $2 x 10^(-9) level. This provides the first two-sided bounds on Lorentz
violation for pions.


title:
Long Range Antiferromagnetic Ordering in the S = 1/2 Ordered Rock Salt
  Oxide, Li5OsO6: Comparison with the Isoelectronicand Isostructural Spin
  Glass, Li4MgReO6

abstract:
  Li5OsO6 and Li5ReO6 polycrystalline samples were synthesized by conventional
solid state methods. Employing powder neutron diffraction data, the crystal
structure of Li5OsO6 was re-investigated. Li5OsO6 crystallizes in C2/m space
group in an ordered NaCl structure type where a = 5.0472(1) A, b = 8.7827(2) A,
c = 5.0079(1) A, Beta = 109.777(2) degree and V = 208.90(1).A^3 Magnetic
susceptibility and heat capacity data indicate an AFM long range order below
40K although there is evidence for low dimensional short range order above 80K.
As well, the frustration index, f = |theta|/TN ~1, in contrast to the
isostructural and isoelectronic compound, Li4MgReO6, which is a spin glass
below 12K and has f ~ 14. An attempt was made to rationalize these differences
using spin dimer analysis. The key results are that the spin exchange
interactions in the Re-based compound are stronger and are consistent with a
frustrated triangular lattice model while a low dimensional short range order
model is better for Li5OsO6. The main reason for this is a strong Jahn-Teller
distortion in the OsO6 octahedron material which constrains the unpaired
electron to occupy the dxy orbital.


title:
Regular elliptic boundary-value problem in a two-sided refined scale of
  spaces

abstract:
  A regular elliptic boundary-value problem over a bounded domain with a smooth
boundary is studied. We prove that the operator of this problem is a Fredholm
one in the two-sided refined scale of the functional Hilbert spaces and
generates a complete collection of isomorphisms. Elements of this scale are the
isotropic spaces of Hormander-Volevich-Paneah and some its modifications. A
priori estimate for the solution is established and its regularity is
investigated.


title: Dense Holographic QCD in the Wigner-Seitz Approximation

abstract:
  We investigate cold dense matter in the context of Sakai and Sugimoto's
holographic model of QCD in the Wigner-Seitz approximation. In bulk, baryons
are treated as instantons on S^3\times R^1 in each Wigner-Seitz cell. In
holographic QCD, Skyrmions are instanton holonomies along the conformal
direction. The high density phase is identified with a crystal of holographic
Skyrmions with restored chiral symmetry at about 4 Mkk^3/pi^5. As the average
density goes up, it approaches to uniform distribution while the chiral
condensate approaches to p-wave over a cell. The chiral symmetry is effectively
restored in long wavelength limit since the chiral order parameter is averaged
to be zero over a cell. The energy density in dense medium varies as n_B^{5/3},
which is the expected power for non-relativistic fermion. This shows that the
Pauli exclusion effect in boundary is encoded in the Coulomb repulsion in the
bulk.


title: On fibering and splitting of 5-manifolds over the circle

abstract:
  Our main result is a generalization of Cappell's 5-dimensional splitting
theorem. As an application, we analyze, up to internal s-cobordism, the
smoothable splitting and fibering problems for certain 5-manifolds mapping to
the circle. For example, these maps may have homotopy fibers which are in the
class of finite connected sums of certain geometric 4-manifolds. Most of these
homotopy fibers have non-vanishing second mod 2 homology and have fundamental
groups of exponential growth, which are not known to be tractable by
Freedman--Quinn topological surgery. Indeed, our key technique is topological
cobordism, which may not be the trace of surgeries.


title: Recent Progress and Puzzles in Charmonium Physics

abstract:
  While the charmonium model has been effective in describing ccbar bound
mesons, there have been many recently discovered charmonium-like states it
cannot accommodate. Here I provide a review of recent results from the
B-factories including the X(3872), three new particles in the mass range near
3.93 GeV, and four new resonances in initial state radiation (ISR) decays.


title:
Lines of Curvature on Surfaces, Historical Comments and Recent
  Developments

abstract:
  This survey starts with the historical landmarks leading to the study of
principal configurations on surfaces, their structural stability and further
generalizations. Here it is pointed out that in the work of Monge, 1796, are
found elements of the qualitative theory of differential equations (QTDE),
founded by Poincar\'e in 1881. Here are also outlined a number of recent
results developed after the assimilation into the subject of concepts and
problems from the QTDE and Dynamical Systems, such as Structural Stability,
Bifurcations and Genericity, among others, as well as extensions to higher
dimensions. References to original works are given and open problems are
proposed at the end of some sections.


title:
Excitation energies from ground-state density-functionals by means of
  generator coordinates

abstract:
  The generator-coordinate method is a flexible and powerful reformulation of
the variational principle. Here we show that by introducing a generator
coordinate in the Kohn-Sham equation of density-functional theory, excitation
energies can be obtained from ground-state density functionals. As a viability
test, the method is applied to ground-state energies and various types of
excited-state energies of atoms and ions from the He and the Li isoelectronic
series. Results are compared to a variety of alternative DFT-based approaches
to excited states, in particular time-dependent density-functional theory with
exact and approximate potentials.


title: A planar multipole ion trap

abstract:
  We report on the realisation of a chip-based multipole ion trap manufactured
using micro-electromechanical systems (MEMS) technology. It provides ion
confinement in an almost field-free volume between two planes of radiofrequency
electrodes, deposited on glass substrates, which allows for optical access to
the trap. An analytical model of the effective trapping potential is presented
and compared with numerical calculations. Stable trapping of argon ions is
achieved and a lifetime of 16s is measured. Electrostatic charging of the chip
surfaces is studied and found to agree with a numerical estimate.