title:
Accretion Properties of A Sample of Hard X-ray (<60keV) Selected Seyfert
  1 Galaxies

abstract:
  We examine the accretion properties in a sample of 42 hard (3-60keV) X-ray
selected nearby broad-line AGNs. The energy range in the sample is harder than
that usually used in the similar previous studies. These AGNs are mainly
complied from the RXTE All Sky Survey (XSS), and complemented by the released
INTEGRAL AGN catalog. The black hole masses, bolometric luminosities of AGN,
and Eddington ratios are derived from their optical spectra in terms of the
broad H$\beta$ emission line. The tight correlation between the hard X-ray
(3-20keV) and bolometric/line luminosity is well identified in our sample. Also
identified is a strong inverse Baldwin relationship of the H$\beta$ emission
line. In addition, all these hard X-ray AGNs are biased toward luminous objects
with high Eddington ratio (mostly between 0.01 to 0.1) and low column density
($<10^{22} \mathrm{cm^{-2}}$), which is most likely due to the selection effect
of the surveys. The hard X-ray luminosity is consequently found to be strongly
correlated with the black hole mass. We believe the sample completeness will be
improved in the next few years by the ongoing Swift and INTEGRAL missions, and
by the next advanced missions, such as NuSTAR, Simbol-X, and NeXT. Finally, the
correlation between RFe (=optical FeII/H$\beta$) and disk temperature as
assessed by $T\propto (L/L_{\mathrm{Edd}})M_{\mathrm{BH}}^{-1}$ leads us to
suggest that the strength of the FeII emission is mainly determined by the
shape of the ionizing spectrum.


title: The Goldston-Pintz-Yildirim Sieve and Maximal Gaps

abstract:
  One field of particular interest in Number Theory concerns the gaps between
consecutive primes. Within the last few years, very important results have been
achieved on how small these gaps can be. The strongest of these results were
obtained by Dan Goldston, Janos Pintz and Cem Yalcin Yildirim. The present work
begins by generalizing their results so that they can be applied to related
problems in a more direct manner. Additionally, we improve the bound for $F_2$
(concerning the maximal gap in a block of three primes) obtained by the
authors' first paper with our generalization.


title: The Spherical $\pi$-Operator

abstract:
  In this article, we define the spherical $\pi$-operator over domains in the
$(n-1)$-D unit sphere $S^n$ of $R^n$ and develop new and analogous results on
the operator it self and its mapping properties. We introduce the spherical
Dirac operator $\Gamma_\alpha$ as an $\alpha$- shift of of $\Gamma_omega$,
where $\Gamma_omega$ is the negative of the wedge (or Grassmann) product of
$\omega$ with that of the Dirac operator $D_\omega$. A gegenbauer polynomial is
used as a Cauchy kernel for the spherical Dirac operator $\Gamma_alpha$.


title:
Projecting Three-dimensional Protein Structure into a One-dimensional
  Character Code Utilizing the Automated Protein Structure Analysis Method

abstract:
  The protein backbone is described as a smooth curved and twisted line in
three-dimensional (3D) space and characterized by its curvature $\kappa(s)$ and
torsion $\tau(s)$ both expressed as a function of arc length s. It is shown
that the function $\tau(s)$ is sufficient to analyze the contributions of all
amino acids to the conformation of the protein backbone. The characteristic
peak and trough patterns of the $\tau(s)$ diagrams can be translated into a
16-letter code, which provides a rapid identification of helices, strands, and
turns, specifies entry and exit points of secondary structural units, and
determines their regularity in terms of distortions, kinks or breaks. Via
computer encoding, 3D protein structure is projected into a 1D string of
conformational letters. The 3D-1D-projection procedure represents an extension
of the Automated Protein Structure Analysis (APSA) method. APSA has been
applied to describe 155 super secondary structures from 94 proteins and to
compare results with Efimov's classification system of super secondary
structure. The applicability of the latter is demonstrated.


title: How the Kondo ground state avoids the orthogonality catastrophe

abstract:
  In the presence of a magnetic impurity the spin-up and down band states are
modified differently by the impurity. If the multi-electron scalar product
(MESP) between the occupied spin-up and down states approaches zero then this
defines an orthogonality catastrophe. In the present paper the MESP is
investigated for the FAIR (Friedel Artificial Iserted Resonance) solution for a
Friedel-Anderson impurity. A basis of Wilson states is used. The MESP is
numerically determined for the (enforced) magnetic, the singlet, and the
triplet states as a function of the number N of Wilson states. The magnetic and
the triplet state show an exponentially decreasing MESP as a function of N.
Surprisingly it is not the number of states which causes this decrease. It is
instead the energy separation of the highest occupied state from the Fermi
energy which determines the reduction of the MESP. In the singlet state the
ground-state requires a finite MESP to optimize its energy. As a consequence
there is no orthogonality catastrophe. The MESP approaches a saturation value
as function of N.


title:
Differential rotation and meridional circulation in global models of
  solar convection

abstract:
  In the outer envelope of the Sun and in other stars, differential rotation
and meridional circulation are maintained via the redistribution of momentum
and energy by convective motions. In order to properly capture such processes
in a numerical model, the correct spherical geometry is essential. In this
paper I review recent insights into the maintenance of mean flows in the solar
interior obtained from high-resolution simulations of solar convection in
rotating spherical shells. The Coriolis force induces a Reynolds stress which
transports angular momentum equatorward and also yields latitudinal variations
in the convective heat flux. Meridional circulations induced by baroclinicity
and rotational shear further redistribute angular momentum and alter the mean
stratification. This gives rise to a complex nonlinear interplay between
turbulent convection, differential rotation, meridional circulation, and the
mean specific entropy profile. I will describe how this drama plays out in our
simulations as well as in solar and stellar convection zones.


title: Bunching visibility for correlated photons from single GaAs quantum dots

abstract:
  We study photon bunching phenomena associated with biexciton-exciton cascade
in single GaAs self-assembled quantum dots. Experiments carried out with a
pulsed excitation source show that significant bunching is only detectable at
very low excitation, where the typical intensity of photon streams is less than
the half of their saturation value. Our findings are qualitatively understood
with a model which accounts for Poissonian statistics in the number of
excitons, predicting the height of a bunching peak being determined by the
inverse of probability of finding more than one exciton.


title:
An explanation for the pseudogap of high-temperature superconductors
  based on quantum optics

abstract:
  We first explain the pseudogap of high-temperature superconductivity based on
an approach of quantum optics. After introducing a damping factor for the
lifetime $\tau$ of quasiparticles, the superconducting dome is naturally
produced, and the pseudogap is the consequence of pairing with damped
coherence. We derive a new expression of Ginzburg-Landau free energy density,
in which a six-order term due to decoherence damping effect is included.
Without invoking any microscopic pairing mechanism, this approach provides a
simple universal equation of second-order phase transition, which can be
reduced to two well-known empirical scaling equations: the superconducting dome
Presland-Tallon equation, and the normal-state pseudogap crossover temperature
$T^{*}$ line.


title: Unitary Lie Algebras and Lie Tori of Type BC_r, r \geq 3

abstract:
  A Lie G-torus of type X_r is a Lie algebra with two gradings -- one by an
abelian group G and the other by the root lattice of a finite irreducible root
system of type X_r. In this paper we construct a centreless Lie G-torus of type
BC_r, which we call a unitary Lie G-torus, as it is a special unitary Lie
algebra of a nondegenerate G-graded hermitian form of Witt index r over an
associative torus with involution. We prove a structure theorem for centreless
Lie G-tori of type BC_r, r \geq 3, that states that any such Lie torus is
bi-isomorphic to a unitary Lie G-torus, and we determine necessary and
sufficient conditions for two unitary Lie G-tori to be bi-isomorphic. The
motivation to investigate Lie G-tori came from the theory of extended affine
Lie algebras, which are natural generalizations of the affine and toroidal Lie
algebras. Every extended affine Lie algebra possesses an ideal which is a Lie
n-torus of type X_r for some irreducible root system X_r, where by an n-torus
we mean that the group G is a free abelian group of rank n for some n \geq 0.
The structure theorem above enables us to classify centreless Lie n-tori of
type BC_r, r \geq 3. We show that they are determined by pairs consisting of a
quadratic form K on an n-dimensional Z_2-vector space and of an orbit of the
orthogonal group of K. We use that result to construct extended affine Lie
algebras of type BC_r, r \geq 3. Our article completes a large project
involving many earlier papers and many authors to determine the centreless Lie
n-tori of all types.


title:
A Note on Quantum Geometric Langlands Duality, Gauge Theory, and
  Quantization of the Moduli Space of Flat Connections

abstract:
  Montonen-Olive duality implies that the categories of A-branes on the moduli
spaces of Higgs bundles on a Riemann surface C for a pair of Langlands-dual
groups are equivalent. We reformulate this as a statement about categories of
B-branes on the quantized moduli spaces of flat connections for these groups.
We show that it implies the statement of the Quantum Geometric Langlands
duality with a purely imaginary ``quantum parameter'' which is proportional to
the inverse of the Planck constant of the gauge theory. The ramified version of
the story is also considered.


title: Thermo-spin effects in a quantum dot connected to ferromagnetic leads

abstract:
  We study a system composed of a quantum dot in contact with ferromagnetic
leads, held at different temperatures. Spin analogues to the thermopower and
thermoelectric figures of merit are defined and studied as a function of
junction parameters. It is shown that in contrast to bulk ferromagnets, the
spin thermopower coefficient in a junction can be as large as the Seebeck
coefficient, resulting in a large spin figure of merit. In addition, it is
demonstrated that the junction can be tuned to supply only spin current but no
charge current. We also discuss experimental systems where our predictions can
be verified.


title: Heavy baryon spectroscopy in QCD

abstract:
  We perform a systematic study of the masses of charmed and bottom baryons in
the framework of the QCD sum rule approach. Contributions of the operators up
to dimension six are included in operator product expansion. The resulting
heavy baryon masses from the calculations are well consistent with the
experimental values, and predictions to the spectroscopy of the unobserved
bottom baryons are also presented.


title:
Photon-induced production of the mirror quarks from the $LHT$ model at
  the $LHC$

abstract:
  The photon-induced processes at the $LHC$ provide clean experimental
conditions due to absence of the proton remnants, which might produce
complementary and interesting results for tests of the standard model and for
searching of new physics. In the context of the littlest $Higgs$ model with
T-parity, we consider the photon-induced production of the mirror quarks at the
$LHC$. The cross sections for various production channels are calculated and a
simply phenomenology analysis is performed by assuming leptonic decays.


title:
Low-temperature lattice anomaly in LaFeAsO0.93F0.07 probed by x-ray
  absorption spectroscopy: Evidence for strong electron-lattice interaction

abstract:
  The local lattice structure in newly discovered LaFeAsO1-xFx superconductors
is studied by extended x-ray absorption fine structure measurements. An
anomalous upturn of the mean-square relative displacement of the Fe-As bond is
detected below ~70 K as electron carriers are introduced,reflecting the
occurrence of Fe-As bond local lattice fluctuation. Similar to that in
cuprates, this lattice fluctuation exhibits an abrupt depression at the onset
superconducting transition temperature. The results indicate that strong
electron-lattice interaction is involved in the superconducting transition in
oxypcnictide superconductors, putting a strict limitation on possible
theoretical models.


title: Galactic Parameters from Whole Sky 2MASS Star Count

abstract:
  The whole sky differential star counts (DSC) with 1 degree resolution are
retrieved from 2MASS online data service. Galaxy with double exponential thin
and thick disks and a single power law luminosity function (LF) is used to
interpret the 2MASS data. The slope of the DSC appears roughly isotropic over
the whole sky, the average value is ~0.32, which corresponds to a power law
index ~1.8 of the LF. We find that the scale-length and scale-height the thin
disk are ~3.0 kpc and ~245 pc, and those of the thick disk are ~3.0 kpc and
~780 pc. The ratio of the thick disk to the thin disk is ~7%. The location of
Sun above the disk is ~15 pc. A comparison of the data and model and their
discrepancy are also provided.


title:
Structural features and tetragonal-orthorhombic phase transition in
  SrFe2As2 and CaFe2As2

abstract:
  The structural properties of the SrFe2As2 and CaFe2As2 compounds have been
extensively analyzed by transmission electron microscopy (TEM) from room
temperature down to 20K. The experimental results demonstrate that the SrFe2As2
crystal, in consistence with previous x-ray data, has a tetragonal structure at
room temperature and undergoes a tetragonal (T)-orthorhombic (O) phase
transition at about 210K. Moreover, twinning lamella arising from T-O
transition evidently appears in the orthorhombic phase. On the other hand, TEM
observations of CaFe2As2 reveal the presence of a pseudo-periodic structural
modulation with the periodicity of around 40nm at room temperature. This
modulation is likely in connection with the local structural distortions within
the Ca layer. In-situ cooling TEM observations of CaFe2As2 reveal the presence
of complex domain structures in the low-temperature orthorhombic phase.


title:
Variational approach to the scaling function of the 2D Ising model in a
  magnetic field

abstract:
  The universal scaling function of the square lattice Ising model in a
magnetic field is obtained numerically via Baxter's variational corner transfer
matrix approach. The high precision numerical data is in perfect agreement with
the remarkable field theory results obtained by Fonseca and Zamolodchikov, as
well as with many previously known exact and numerical results for the 2D Ising
model. This includes excellent agreement with analytic results for the magnetic
susceptibility obtained by Orrick, Nickel, Guttmann and Perk. In general the
high precision of the numerical results underlines the potential and full power
of the variational corner transfer matrix approach.

categories: cond-mat.stat-mech hep-th math-ph math.MP


title: Characterizing the Robustness of Complex Networks

abstract:
  With increasingly ambitious initiatives such as GENI and FIND that seek to
design the future Internet, it becomes imperative to define the characteristics
of robust topologies, and build future networks optimized for robustness. This
paper investigates the characteristics of network topologies that maintain a
high level of throughput in spite of multiple attacks. To this end, we select
network topologies belonging to the main network models and some real world
networks. We consider three types of attacks: removal of random nodes, high
degree nodes, and high betweenness nodes. We use elasticity as our robustness
measure and, through our analysis, illustrate that different topologies can
have different degrees of robustness. In particular, elasticity can fall as low
as 0.8% of the upper bound based on the attack employed. This result
substantiates the need for optimized network topology design. Furthermore, we
implement a tradeoff function that combines elasticity under the three attack
strategies and considers the cost of the network. Our extensive simulations
show that, for a given network density, regular and semi-regular topologies can
have higher degrees of robustness than heterogeneous topologies, and that link
redundancy is a sufficient but not necessary condition for robustness.


title:
Coulomb glory in low-energy antiproton scattering by heavy nucleus:
  screening effect of vacuum polarization

abstract:
  Backward scattering of antiprotons by bare uranium is studied theoretically
for antiproton energies within the interval 100 eV -- 1 keV. A marked maximum
of the differential cross section in the backward direction (Coulomb glory) at
some energies of the incident particle is revealed. The effect is due to the
screening properties of the vacuum polarization potential and can be regarded
as a manifestation of the vacuum polarization in non-relativistic collisions of
heavy particles. Experimental observation can become feasible with new
facilities for antiproton and ion research at GSI.


title:
On the global monodromy of a Lefschetz fibration arising from the Fermat
  surface of degree 4

abstract:
  A complete description of the global monodromy of a Lefschetz fibration
arising from the Fermat surface of degree 4 is given. As a by-product we get a
positive relation among right hand Dehn twists in the mapping class group of a
closed orientable surface of genus 3.


title:
New Method to Reveal the Conflict Between Local Realism and Quantum
  Mechanics

abstract:
  We formulate the expectation value of the Bell-Zukowski operator acting on
qubit states of a two-particle Bell experiment. By using the equivalence
between a set of N copies of a two-qubit experiment and a standard two-setting
Bell experiment in an entangled 2N-particle state, we obtain an inequality,
which we may call the Bell-Zukowski inequality. It determines whether the
measured correlation functions of two-particle states can be modeled locally
and realistically. In this Bell experiment of two particles, the conflict
between local realism and quantum mechanics is discussed in conjunction with
the violation of the Bell-Zukowski inequality. The main point of the result is
that the Bell-Zukowski operator can be represented by the Bell-Mermin operator.
The threshold visibility of two-particle interference analyzed in this scheme
shows good agreement with the value to cause a violation of the Bell-Zukowski
inequality.


title: Hyperspaces of Closed Limit Sets

abstract:
  We study Michael's lower semifinite topology and Fell's topology on the
collection of all closed limit subsets of a topological space. Special
attention is given to the subfamily of all maximal limit sets.


title:
Homogeneous studies of transiting extrasolar planets. II. Physical
  properties

abstract:
  I present an homogeneous determination of the physical properties of 14
transiting extrasolar planetary systems for which good data are available. The
input quantities for each system are the results of the light curve analyses
(Paper 1), and published measurements of the stellar velocity amplitude, Teff
and [Fe/H]. The physical properties are determined by interpolating within
tabulated predictions from stellar theory. Statistical uncertainties are found
using a perturbation algorithm, which gives a detailed error budget for every
output quantity. Systematic uncertainties are assessed for each quantity by
comparing the values found using different stellar models. As a theory-free
alternative, physical properties are also calculated using an empirical
mass-radius relation constructed using low-mass eclipsing binary stars. The
properties of the planets depend mostly on parameters measured from the light
and velocity curves, and have only a minor sensitivity to theoretical
predictions. In contrast, the orbital semimajor axes and stellar masses have a
strong dependence on theoretical predictions, and their systematic
uncertainties can be substantially larger than the statistical ones. Using the
empirical mass--radius relation instead, their values are smaller by up to 15%.
Thus our understanding of extrasolar planets is currently limited by our lack
of understanding of low-mass stars. Using all known transiting planets, I find
that correlations between their orbital periods, masses and surface gravities
are significant at the 2-3 sigma level. However, the separation of the known
planets into two classes according to their Safronov number is weaker than
previously found, and may not be statistically significant (abridged).


title:
Interlayer exchange coupling in Co2FeAl0.5Si0.5/Cr/Co2FeAl0.5Si0.5
  trilayers

abstract:
  Interlayer exchange couplings were examined for Co2FeAl0.5Si0.5(CFAS)/Cr/CFAS
trilayered films grown on MgO (001) single crystal and thermally oxidized Si
substrates. The films were (001) epitaxial on MgO and (110) textured
polycrystalline on SiO2. Strong exchange couplings were observed for the films
with the 1.5 nm thick Cr spacer layer. A 90 degree coupling is dominant in the
(001) epitaxial film. In contrast, an antiparallel coupling exists in the
polycrystalline one. The relationship of interlayer couplings with the
structure is discussed.


title:
Formation of the off-center bar in the Large Magellanic Cloud: A
  collision with a dark satellite ?

abstract:
  Recent observations on structural properties of the Large Magellanic Cloud
(LMC) based on the Deep Near-Infrared Southern Sky Survey (DENIS) and Two
Micron All-Sky Survey (2MASS) have revealed that the LMC has an off-center bar
even in the older stellar populations. Previous dynamical models including
tidal interaction between the LMC, the Small Magellanic Cloud (SMC), and the
Galaxy, however, did not reproduce so well the older off-center bar. We here
show that the off-center bar can be formed if the LMC with an already existing
bar can collide with a low-mass Galactic subhalo as massive as 5 * 10^8 M_sun
(corresponding roughly to a few % of the LMC mass). The simulated stellar
distribution after the collision appears to show an ``off-center bar'', not
because the center of the bar significantly deviates from the dynamical center
of the LMC, but because the underlying stellar distribution of the disk is
significantly asymmetric with respect to the center of the bar. We discuss
whether off-center bars observed in Magellanic-type dwarf galaxies can be
formed as a result of tidal interaction with low-mass halos with no or little
visible matters.


title: Quotient Spaces Determined by Algebras of Continuous Functions

abstract:
  we prove that if $X$ is a locally compact $\sigma$-compact space then on its
quotient, $\gamma(X)$ say, determined by the algebra of all real valued bounded
continuous functions on $X$, the quotient topology and the completely regular
topology defined by this algebra are equal. It follows from this that if $X$ is
second countable locally compact then $\gamma(X)$ is second countable locally
compact Hausdorff if and only if it is first countable. The interest in these
results originated in papers of R. J. Archbold, and S. Echterhoff and D. P.
Williams where the primitive ideal space of a $C^*$-algebra was considered.


title: Deformable self-propelled particles

abstract:
  A theory of self-propelled particles is developed in two dimensions assuming
that the particles can be deformed from a circular shape when the propagating
velocity is increased. A coupled set of equations in terms of the velocity and
a tensor variable to represent the deformation is introduced to show that there
is a bifurcation from a straight motion to a circular motion of a single
particle. Dynamics of assembly of the particles is studied numerically where
there is a global interaction such that the particles tend to cause an
orientational order.


title:
Current-perpendicular-to-plane giant magnetoresistance of a spin valve
  using Co2MnSi Heusler alloy electrodes

abstract:
  We report the current-perpendicular-to-plane giant magnetoresistance of a
spin valve with Co2MnSi (CMS) Heusler alloy ferromagnetic electrodes. A
multilayer stack of Cr/Ag/Cr/CMS/Cu/CMS/Fe25Co75/Ir28Mn72/Ru was deposited on a
MgO (001) single crystal substrate. The bottom CMS layer was epitaxially grown
on the Cr/Ag/Cr buffer layers and was ordered to the L21 structure after
annealing at 673 K. The upper CMS layer was found to grow epitaxially on the Cu
spacer layer despite the large lattice mismatch between Cu and CMS. The highest
MR ratios of 8.6% and 30.7% for CPP-GMR were recorded at room temperature and 6
K, respectively. The high spin polarization of the epitaxial CMS layers is the
most likely origin of the high MR ratio.


title: Statistical properties of multistep enzyme-mediated reactions

abstract:
  Enzyme-mediated reactions may proceed through multiple intermediate
conformational states before creating a final product molecule, and one often
wishes to identify such intermediate structures from observations of the
product creation. In this paper, we address this problem by solving the
chemical master equations for various enzymatic reactions. We devise a
perturbation theory analogous to that used in quantum mechanics that allows us
to determine the first (<n>) and the second (variance) cumulants of the
distribution of created product molecules as a function of the substrate
concentration and the kinetic rates of the intermediate processes. The mean
product flux V=d<n>/dt (or "dose-response" curve) and the Fano factor
F=variance/<n> are both realistically measurable quantities, and while the mean
flux can often appear the same for different reaction types, the Fano factor
can be quite different. This suggests both qualitative and quantitative ways to
discriminate between different reaction schemes, and we explore this
possibility in the context of four sample multistep enzymatic reactions. We
argue that measuring both the mean flux and the Fano factor can not only
discriminate between reaction types, but can also provide some detailed
information about the internal, unobserved kinetic rates, and this can be done
without measuring single-molecule transition events.


title:
SINR Diagrams: Towards Algorithmically Usable SINR Models of Wireless
  Networks

abstract:
  The rules governing the availability and quality of connections in a wireless
network are described by physical models such as the signal-to-interference &
noise ratio (SINR) model. For a collection of simultaneously transmitting
stations in the plane, it is possible to identify a reception zone for each
station, consisting of the points where its transmission is received correctly.
The resulting SINR diagram partitions the plane into a reception zone per
station and the remaining plane where no station can be heard.
  SINR diagrams appear to be fundamental to understanding the behavior of
wireless networks, and may play a key role in the development of suitable
algorithms for such networks, analogous perhaps to the role played by Voronoi
diagrams in the study of proximity queries and related issues in computational
geometry. So far, however, the properties of SINR diagrams have not been
studied systematically, and most algorithmic studies in wireless networking
rely on simplified graph-based models such as the unit disk graph (UDG) model,
which conveniently abstract away interference-related complications, and make
it easier to handle algorithmic issues, but consequently fail to capture
accurately some important aspects of wireless networks.
  The current paper focuses on obtaining some basic understanding of SINR
diagrams, their properties and their usability in algorithmic applications.
Specifically, based on some algebraic properties of the polynomials defining
the reception zones we show that assuming uniform power transmissions, the
reception zones are convex and relatively well-rounded. These results are then
used to develop an efficient approximation algorithm for a fundamental point
location problem in wireless networks.


title:
Inelastic neutron scattering due to acoustic vibrations confined in
  nanoparticles: theory and experiment

abstract:
  The inelastic scattering of neutrons by nanoparticles due to acoustic
vibrational modes (energy below 10 meV) confined in nanoparticles is calculated
using the Zemach-Glauber formalism. Such vibrational modes are commonly
observed by light scattering techniques (Brillouin or low-frequency Raman
scattering). We also report high resolution inelastic neutron scattering
measurements for anatase TiO2 nanoparticles in a loose powder. Factors enabling
the observation of such vibrations are discussed. These include a narrow
nanoparticle size distribution which minimizes inhomogeneous broadening of the
spectrum and the presence of hydrogen atoms oscillating with the nanoparticle
surfaces which enhances the number of scattered neutrons.


title: Lagrangian structures for the Stokes, Navier-Stokes and Euler equations

abstract:
  We prove that the Navier-Stokes, the Euler and the Stokes equations admit a
Lagrangian structure using the stochastic embedding of Lagrangian systems.
These equations coincide with extremals of an explicit stochastic Lagrangian
functional, i.e. they are stochastic Lagrangian systems in the sense of
[Cresson-Darses, J. Math. Phys. 48, 072703 (2007]


title: Age spreads in star forming regions?

abstract:
  Rotation periods and projected equatorial velocities of pre-main-sequence
(PMS) stars in star forming regions can be combined to give projected stellar
radii. Assuming random axial orientation, a Monte-Carlo model is used to
illustrate that distributions of projected stellar radii are very sensitive to
ages and age dispersions between 1 and 10 Myr which, unlike age estimates from
conventional Hertzsprung-Russell diagrams, are relatively immune to
uncertainties due to extinction, variability, distance etc. Application of the
technique to the Orion Nebula cluster reveals radius spreads of a factor of
2--3 (FWHM) at a given effective temperature. Modelling this dispersion as an
age spread suggests that PMS stars in the ONC have an age range larger than the
mean cluster age, that could be reasonably described by the age distribution
deduced from the Hertzsprung-Russell diagram. These radius/age spreads are
certainly large enough to invalidate the assumption of coevality when
considering the evolution of PMS properties (rotation, disks etc.) from one
young cluster to another.


title: Neutron-proton charge-exchange amplitudes at 585 MeV

abstract:
  The differential cross section and deuteron analysing powers of the dp ->
{pp}n charge-exchange reaction have been measured with the ANKE spectrometer at
the COSY storage ring. Using a deuteron beam of energy 1170 MeV, data were
obtained for small momentum transfers to a {pp} system with low excitation
energy. A good quantitative understanding of all the measured observables is
provided by the impulse approximation using known neutron-proton amplitudes.
The proof of principle achieved here for the method suggests that measurements
at higher energies will provide useful information in regions where the
existing np database is far less reliable.


title: On the frequency of N2H+ and N2D+

abstract:
  Context : Dynamical studies of prestellar cores search for small velocity
differences between different tracers. The highest radiation frequency
precision is therefore required for each of these species. Aims : We want to
adjust the frequency of the first three rotational transitions of N2H+ and N2D+
and extrapolate to the next three transitions. Methods : N2H+ and N2D+ are
compared to NH3 the frequency of which is more accurately known and which has
the advantage to be spatially coexistent with N2H+ and N2D+ in dark cloud
cores. With lines among the narrowests, and N2H+ and NH3 emitting region among
the largests, L183 is a good candidate to compare these species. Results : A
correction of ~10 kHz for the N2H+ (J:1-0) transition has been found (~0.03
km/s) and similar corrections, from a few m/s up to ~0.05 km/s are reported for
the other transitions (N2H+ J:3-2 and N2D+ J:1-0, J:2-1, and J:3-2) compared to
previous astronomical determinations. Einstein spontaneous decay coefficients
(Aul) are included.


title: Efimov states with strong three-body losses

abstract:
  We determine analytically how Efimov trimer states are modified by three-body
losses within the model of Braaten and Hammer. We find a regime where the
energies approach the positive real axis and the decay rates vanish.


title: New S=1/2 Kagome Antiferromagnets A$_2$Cu$_3$SnF$_{12}$: A=Cs and Rb

abstract:
  We synthesized single crystals of the new hexagonal compounds
A$_2$Cu$_3$SnF$_{12}$ with A=Cs and Rb, and investigated their magnetic
properties. These compounds are composed of Kagom\'{e} layers of corner-sharing
CuF$_6$-octahedra. Cs$_2$Cu$_3$SnF$_{12}$ has the proper Kagom\'{e} layer at
room temperature, and undergoes structural phase transition at
$T_\mathrm{t}\simeq 185$ K. The temperature dependence of the magnetic
susceptibility in Cs$_2$Cu$_3$SnF$_{12}$ agrees well with the result of the
numerical calculation for $S=1/2$ two-dimensional Heisenberg Kagom\'{e}
antiferromagnet down to $T_\mathrm{t}$ with the nearest exchange interaction
$J/k_\mathrm{B}\simeq 240$ K. Although the magnetic susceptibility deviates
from the calculated result below $T<T_\mathrm{t}$, the rounded maxima were
observed at approximately $T\simeq (1/6)J/k_\mathrm{B}$ as predicted by the
theory. Cs$_2$Cu$_3$SnF$_{12}$ undergoes three-dimensional magnetic ordering at
$T_\mathrm{N} = 20$ K.


title:
On the connection between two quasilinear elliptic problems with source
  terms of order 0 or 1

abstract:
  We establish a precise connection between two elliptic quasilinear problems
with Dirichlet data in a bounded domain of $\mathbb{R}^{N}.$ The first one, of
the form \[ -\Delta_{p}u=\beta(u)| \nabla u| ^{p}+\lambda f(x)+\alpha, \]
involves a source gradient term with natural growth, where $\beta$ is
nonnegative, $\lambda>0,f(x)\geqq0$, and $\alpha$ is a nonnegative measure. The
second one, of the form \[ -\Delta_{p}v=\lambda f(x)(1+g(v))^{p-1}+\mu, \]
presents a source term of order $0, $where $g$ is nondecreasing, and $\mu$ is a
nonnegative measure. Here $\beta$ and $g$ can present an asymptote. The
correlation gives new results of existence, nonexistence, regularity and
multiplicity of the solutions for the two problems, without or with measures.
New informations on the extremal solutions are given when $g$ is superlinear.


title: Instability of the Perturbation Theoretical Chromodynamic Vacuum

abstract:
  The standard model of strong interactions invokes the quantum chromodynamics
(QCD) of quarks and gluons interacting within a fluid. At sufficiently small
length scales, the effective interactions between the color charged particles
within the fluid are thought to be weak. Short distance asymptotic freedom
provides the perturbation theory basis for comparisons between QCD theory and
laboratory high energy scattering experiments. It is here shown that the
asymptotically free vacuum has negative dissipation implicit in the color
electrical conductivity. Negative dissipation implies an asymptotically free
QCD negative temperature {\em excited state amplifier} unstable to decay. The
qualitative experimental implications of this instability are explored.


title: Rotating Black Hole Entropy from Two Different Viewpoints

abstract:
  Using the brick-wall method, we study the entropy of Kerr-Newman black hole
from two different viewpoints, a rest observer at infinity and zero angular
momentum observer near horizon. We investigate this with scalar field in the
canonical quantization approach. An observer at infinity can take one of the
two possible frequency ranges; one is with positive frequencies only and the
other is with the whole range including negative frequencies. On the other
hand, a zero angular momentum observer near horizon can take positive
frequencies only. For the observer at infinity the superradiant modes appear in
either choice of the frequency ranges and the two results coincide. For the
zero angular momentum observer superradiant modes do not appear due to absence
of ergoregion. The resulting entropies from the two viewpoints turn out to be
the same.


title: A dense disk of dust around the born-again Sakurai's object

abstract:
  In 1996, Sakurai's object (V4334 Sgr) suddenly brightened in the centre of a
faint Planetary Nebula (PN). This very rare event was interpreted as the
reignition of a hot white dwarf that caused a rapid evolution back to the cool
giant phase. From 1998 on, a copious amount of dust has formed continuously,
screening out the star which has remained embedded in this expanding high
optical depth envelope. The new observations, reported here, are used to study
the morphology of the circumstellar dust in order to investigate the hypothesis
that Sakurai's Object is surrounded by a thick spherical envelope of dust. We
have obtained unprecedented, high-angular resolution spectro-interferometric
observations, taken with the mid-IR interferometer MIDI/VLTI, which resolve the
dust envelope of Sakurai's object. We report the discovery of a unexpectedly
compact (30 x 40 milliarcsec, 105 x 140 AU assuming a distance of 3.5 kpc),
highly inclined, dust disk. We used Monte Carlo radiative-transfer simulations
of a stratified disk to constrain its geometric and physical parameters,
although such a model is only a rough approximation of the rapidly evolving
dust structure. Even though the fits are not fully satisfactory, some useful
and robust constraints can be inferred. The disk inclination is estimated to be
75+/-3 degree with a large scale height of 47+/-7 AU. The dust mass of the disk
is estimated to be 6 10^{-5} solar mass. The major axis of the disk (132+/-3
degree) is aligned with an asymmetry seen in the old PN that was
re-investigated as part of this study. This implies that the mechanism
responsible for shaping the dust envelope surrounding Sakurai's object was
already at work when the old PN formed.


title:
Gauge-field rotation of 2D exciton Bose condensate in double quantum
  well by radial magnetic field

abstract:
  Here it is shown that a radial magnetic field leads to rotation of a Bose
condensed exciton cloud due to Aharonov-Bohm effect for an electron and a hole
forming an exciton. As in the case of mechanical rotation of superfluids,
rotation is accompanied by penetration of vortices into the cloud at some
critical magnetic field. Penetration of vortices strongly affects the total
intensity and the angular distribution of photoluminescence from the exciton
cloud. This effect can be used for an effective experimental manifestation of
exciton Bose condensation.


title:
Displacement- and laser-noise-free gravitational-wave detection with two
  Fabry-Perot cavities

abstract:
  We propose two Fabry-Perot cavities, each pumped through both the mirrors,
positioned in line as a toy model of the gravitational-wave (GW) detector free
from displacement noise of the test masses. It is demonstrated that the
displacement noise of cavity mirrors as well as laser noise can be completely
excluded in a proper linear combination of the cavities output signals. We show
that in low-frequency approximation (gravitational wave length
$\lambda-\text{gw}$ is much greater than distance $L$ between mirrors
$\lambda_\text{gw}\gg L$) the decrease of response signal is about
$(L/\lambda_\text{gw})^2$, i.e. signal is stronger than the one of the
interferometer recently proposed by S. Kawamura and Y. Chen.


title:
Broadband cloaking with volumetric structures composed of
  two-dimensional transmission-line networks

abstract:
  The cloaking performance of two microwave cloaks, both based on the recently
proposed transmission-line approach, are studied using commercial full-wave
simulation software. The cloaks are shown to be able to reduce the total
scattering cross sections of metallic objects of some restricted shapes and
sizes. One of the studied cloaks is electrically small in diameter, and the
other is electrically large, with the diameter equal to several wavelengths.


title:
Super universality of the quantum Hall effect and the "large $N$
  picture" of the $\vartheta$ angle

abstract:
  It is shown that the "massless chiral edge excitations" are an integral and
universal aspect of the low energy dynamics of the $\vartheta$ vacuum that has
historically gone unnoticed. Within the $SU(M+N)/S(U(M) \times U(N))$
non-linear sigma model we introduce an effective theory of "edge excitations"
that fundamentally explains the quantum Hall effect. In sharp contrast to the
common beliefs in the field our results indicate that this macroscopic
quantization phenomenon is, in fact, a {\em super universal} strong coupling
feature of the $\vartheta$ angle with the replica limit $M=N=0$ only playing a
role of secondary importance. To demonstrate super universality we revisit the
large $N$ expansion of the $CP^{N-1}$ model. We obtain, for the first time,
explicit scaling results for the quantum Hall effect including quantum
criticality of the quantum Hall plateau transition. Consequently a scaling
diagram is obtained describing the cross-over between the weak coupling
"instanton phase" and the strong coupling "quantum Hall phase" of the large $N$
theory. Our results are in accordance with the "instanton picture" of the
$\vartheta$ angle but fundamentally invalidate all the ideas, expectations and
conjectures that are based on the historical "large $N$ picture."


title: Phenomenology of the Heavy Flavored spin 3/2 Baryons in Light Cone QCD

abstract:
  Motivated by the results of the recent experimental discoveries for charm and
bottom baryons, the masses and magnetic moments of the heavy baryons with
$J^P=3/2^+$ containing a single heavy quark are studied within light cone QCD
sum rules method. Our results on the masses of heavy baryons are in good
agreement with predictions of other approaches, as well as with the existing
experimental data.


title: Faster Retrieval with a Two-Pass Dynamic-Time-Warping Lower Bound

abstract:
  The Dynamic Time Warping (DTW) is a popular similarity measure between time
series. The DTW fails to satisfy the triangle inequality and its computation
requires quadratic time. Hence, to find closest neighbors quickly, we use
bounding techniques. We can avoid most DTW computations with an inexpensive
lower bound (LB Keogh). We compare LB Keogh with a tighter lower bound (LB
Improved). We find that LB Improved-based search is faster. As an example, our
approach is 2-3 times faster over random-walk and shape time series.


title:
The first digit frequencies of primes and Riemann zeta zeros tend to
  uniformity following a size-dependent generalized Benford's law

abstract:
  Prime numbers seem to distribute among the natural numbers with no other law
than that of chance, however its global distribution presents a quite
remarkable smoothness. Such interplay between randomness and regularity has
motivated sci- entists of all ages to search for local and global patterns in
this distribution that eventually could shed light into the ultimate nature of
primes. In this work we show that a generalization of the well known
first-digit Benford's law, which addresses the rate of appearance of a given
leading digit d in data sets, describes with astonishing precision the
statistical distribution of leading digits in the prime numbers sequence.
Moreover, a reciprocal version of this pattern also takes place in the sequence
of the nontrivial Riemann zeta zeros. We prove that the prime number theorem
is, in the last analysis, the responsible of these patterns. Some new relations
concerning the prime numbers distribution are also deduced, including a new
approximation to the counting function pi(n). Furthermore, some relations
concerning the statistical conformance to this generalized Benford's law are
derived. Some applications are finally discussed.


title: Compressed word problems in HNN-extensions and amalgamated products

abstract:
  It is shown that the compressed word problem for an HNN-extension with base
group H and finite associated subgroups is polynomial time Turing-reducible to
the compressed word problem for H. An analogous result for amalgamated free
products is shown as well.


title:
Intrinsic properties of a complete sample of HETE-2 gamma-ray bursts. A
  measure of the GRB rate in the Local Universe

abstract:
  Aims: Taking advantage of the forthcoming Catalog of the HETE-2 mission, the
aim of this paper is to evaluate the main properties of HETE-2 GRBs - the
E_peak, the T_90 and the E_iso - in their source frames and to derive their
unbiased distribution. Methods: We first construct a complete sample containing
all the bursts localized by the WXM on-board HETE-2, which are selected with a
uniform criterion and whose observed parameters can be constrained. We then
derive the intrinsic E_peak, T_90 and E_iso distributions using their redshift
when it is available, or their pseudo-redshift otherwise. We finally compute
the number of GRB (N_Vmax) within the visibility volume (V_max) of each GRB, in
order to derive a weight for each detected burst accounting both for the
detection significance and the star formation history of the universe. Results:
The unbiased distributions obtained clearly show the predominence of X-ray
flashes (XRFs) in the global GRB population. We also derive the rate of local
GRBs: R0^H2 > 11 Gpc-3 yr-1, which is intermediate between the local rate
obtained by considering only the high-luminosity bursts (~1 Gpc-3 yr-1) and
that obtained by including the low-luminosity bursts (>200 Gpc-3 yr-1).


title: Slopes of trigonal fibred surfaces and of higher dimensional fibrations

abstract:
  We give lower bounds for the slope of higher dimensional fibrations over
curves under conditions of GIT-semistability of the fibres, using a
generalization of a method of Cornalba and Harris. With the same method we
establish a sharp lower bound for the slope of trigonal fibrations of even
genus and general Maroni invariant; in particular this result proves a
conjecture due to Harris and Stankova-Frenkel.


title:
The Derivation algebra and automorphism group of the generalized Ramond
  N=2 superconformal algebra

abstract:
  In this paper, we give the definition of the generalized Ramond N=2
superconformal algebras and discuss the derivation algebra and the automorphism
group


title: Gravitational correction to SU(5) gauge coupling unification

abstract:
  The gravitational corrections to the gauge coupling constants of abelian and
non-abelian gauge theories has been shown to diverge quadratically. Since this
result will have interesting consequences, this has been analyzed by several
authors from different approaches. We propose to discuss this issue from a
phenomenological approach. We analyze the SU(5) gauge coupling unification and
argue that the gravitational corrections to gauge coupling constants may not
vanish when higher dimensional non-renormalizable terms are included in the
problem.


title: Quasiperiodic surface Maryland models on quantum graphs

abstract:
  We study quantum graphs corresponding to isotropic lattices with
quasiperiodic coupling constants given by the same expressions as the
coefficients of the discrete surface Maryland model. The absolutely continuous
and the pure point spectra are described. It is shown that the transition
between them is governed by the Hill operator corresponding to the edge
potential.


title: Enhanced Domain Wall Motion in the Spin Valve Nanowires

abstract:
  According to the recent experiment by the Fert group, the velocity of domain
wall motion in the spin valve ferromagnetic nanowires was almost doubly
enhanced compared to the old value. In this work, we propose an additional
torque model, arising from the interlayer exchange interaction, which can
enhance or suppress the domain wall velocity depending on the sign of the
exchange constant or the wall motion direction relative to the magnetization
orientation of the fixed layer.


title:
Role of the attractive intersite interaction in the extended Hubbard
  model

abstract:
  We consider the extended Hubbard model in the atomic limit on a Bethe lattice
with coordination number z. By using the equations of motion formalism, the
model is exactly solved for both attractive and repulsive intersite potential
V. By focusing on the case of negative V, i.e., attractive intersite
interaction, we study the phase diagram at finite temperature and find, for
various values of the filling and of the on-site coupling U, a phase transition
towards a state with phase separation. We determine the critical temperature as
a function of the relevant parameters, U/|V|, n and z and we find a reentrant
behavior in the plane (U/|V|,T). Finally, several thermodynamic properties are
investigated near criticality.


title: An alternative interpretation of the Weinberg-Salam model

abstract:
  A problem of mass generation in the Unified EM+W theory is discussed. Two
hypothetical possibilities for the nature of Higgs field are proposed.


title:
Reply to Comment by Galapon on 'Almost-periodic time observables for
  bound quantum systems'

abstract:
  In a recent paper [1] (also at http://lanl.arxiv.org/abs/0803.3721), I made
several critical remarks on a 'Hermitian time operator' proposed by Galapon [2]
(also at http://lanl.arxiv.org/abs/quant-ph/0111061).
  Galapon has correctly pointed out that remarks pertaining to 'denseness' of
the commutator domain are wrong [3]. However, the other remarks still apply,
and it is further noted that a given quantum system can be a member of this
domain only at a set of times of total measure zero.


title:
Hydrogen dissociation on the Mg(0001) surface from quantum Monte Carlo
  calculations

abstract:
  We have used diffusion Monte Carlo (DMC) simulations to calculate the energy
barrier for H$_2$ dissociation on the Mg(0001) surface. The calculations employ
pseudopotentials and systematically improvable B-spline basis sets to expand
the single particle orbitals used to construct the trial wavefunctions.
Extensive tests on system size, time step, and other sources of errors,
performed on periodically repeated systems of up to 550 atoms, show that all
these errors together can be reduced to $\sim 0.03$ eV. The DMC dissociation
barrier is calculated to be $1.18 \pm 0.03$ eV, and is compared to those
obtained with density functional theory using various exchange-correlation
functionals, with values ranging between 0.44 and 1.07 eV.


title: Tomonaga-Luttinger Liquid Renormalized by a Single Impurity

abstract:
  Effects of a single impurity potential on bulk properties of a spinful
Tomonaga-Luttinger (TL) liquid is studied. A boundary bosonization technique is
developed to include the impurity potential of {\it arbitrary} strength $V$.
Our new bosonization formula for fermion field $\psi$ smoothly connects the two
existing expressions in the strong ($V = \infty$) and the weak ($V = 0$)
impurity limits. With use of the formula, we found the TL parameters determined
from the long-distance correlation functions are renormalized due to the
partial transmission through the impurity potential.


title: Effect of Bending Anisotropy on the 3D Conformation of Short DNA Loops

abstract:
  The equilibrium three dimensional shape of relatively short loops of DNA is
studied using an elastic model that takes into account anisotropy in bending
rigidities. Using a reasonable estimate for the anisotropy, it is found that
cyclized DNA with lengths that are not integer multiples of the pitch take on
nontrivial shapes that involve bending out of planes and formation of kinks.
The effect of sequence inhomogeneity on the shape of DNA is addressed, and
shown to enhance the geometrical features. These findings could shed some light
on the role of DNA conformation in protein--DNA interactions.


title: Bloch oscillations in one-dimensional spinor gas

abstract:
  A force applied to a spin-flipped particle in a one-dimensional spinor gas
may lead to Bloch oscillations of particle's position and velocity. The
existence of Bloch oscillations crucially depends on the viscous friction force
exerted by the rest of the gas on the spin excitation. We evaluate the friction
in terms of the quantum fluid parameters. In particular, we show that the
friction is absent for integrable cases, such as SU(2) symmetric gas of bosons
or fermions. For small deviations from the exact integrability the friction is
very weak, opening the possibility to observe Bloch oscillations.


title:
Correlated volume-energy fluctuations of phospholipid membranes: A
  simulation study

abstract:
  This paper reports all-atom computer simulations of five phospholipid
membranes (DMPC, DPPC, DMPG, DMPS, and DMPSH) with focus on the thermal
equilibrium fluctuations of volume, energy, area, thickness, and chain order.
At constant temperature and pressure, volume and energy exhibit strong
correlations of their slow fluctuations (defined by averaging over 0.5
nanosecond). These quantities, on the other hand, do not correlate
significantly with area, thickness, or chain order. The correlations are mainly
reported for the fluid phase, but we also give some results for the ordered
(gel) phase of two membranes, showing a similar picture. The cause of the
observed strong correlations is identified by splitting volume and energy into
contributions from tails, heads, and water, and showing that the slow
volume-energy fluctuations derive from van der Waals interactions of the tail
region; they are thus analogous to the similar strong correlations recently
observed in computer simulations of the Lennard-Jones and other simple van der
Waals type liquids [U. R. Pedersen et al., Phys. Rev. Lett. 2008, 100, 015701].
The strong correlations reported here confirm one crucial assumption of a
recent theory for nerve signal propagation proposed by Heimburg and Jackson [T.
Heimburg and A. D. Jackson, Proc. Natl. Acad. Sci. 2005, 102, 9790-9795].


title: Exciton-exciton interaction and biexciton formation in bilayer systems

abstract:
  We report quantum Monte Carlo calculations of biexciton binding energies in
ideal two-dimensional bilayer systems with isotropic electron and hole masses.
We have also calculated exciton-exciton interaction potentials, and pair
distribution functions for electrons and holes in bound biexcitons. Comparing
our data with results obtained in a recent study using a model exciton-exciton
potential [C. Schindler and R. Zimmermann, Phys. Rev. B \textbf{78}, 045313
(2008)], we find a somewhat larger range of layer separations at which
biexcitons are stable. We find that individual excitons retain their identity
in bound biexcitons for large layer separations.


title: Homology of spaces of regular loops in the sphere

abstract:
  In this paper we compute the singular homology of the space of immersions of
the circle into the $n$-sphere. Equipped with Chas-Sullivan's loop product
these homology groups are graded commutative algebras, we also compute these
algebras. We enrich Morse spectral sequences for fibrations of free loop spaces
together with loop products, this offers some new computational tools for
string topology.


title: Internal shocks model for microquasar jets

abstract:
  We present an internal shocks model to investigate particle acceleration and
radiation production in microquasar jets. The jet is modelled with discrete
ejecta at various time intervals. These ejecta (or 'shells') may have different
properties including the bulk velocity. Faster shells can catch up and collide
with the slower ones, thus giving rise to shocks. The particles are accelerated
inside the shocked plasma. Each collision results in a new shell, which may
take part in any subsequent collisions as well as radiate due to synchrotron
radiation. Almost continuous energy dissipation along the jet can be obtained
with a large number of shell collisions. We investigate the spectral energy
distribution of such jets as well as the physical significance of various
parameters (e.g. the time interval between ejections and the shell size).


title:
Tuning the tunnel coupling of quantum dot molecules with longitudinal
  magnetic fields

abstract:
  We show that the energy splitting between the bonding and antibonding
molecular states of holes in vertically stacked quantum dots can be tuned using
longitudinal magnetic fields. With increasing field, the energy splitting first
decreases down to zero and then to negative values, which implies a
bonding-to-antibonding ground state transition. This effect is a consequence of
the enhancement of the valence band spin-orbit interaction induced by the
magnetic field, and it provides a flexible mechanism to switch the molecular
ground state from bonding to antibonding.


title:
Instanton Calculus in R-R 3-form Background and Deformed N=2 Super
  Yang-Mills Theory

abstract:
  We study the ADHM construction of instantons in N=2 supersymmetric Yang-Mills
theory deformed in constant Ramond-Ramond (R-R) 3-form field strength
background in type IIB superstrings. We compare the deformed instanton
effective action with the effective action of fractional D3/D(-1) branes at the
orbifold singularity of C^2/Z_2 in the same R-R background. We find discrepancy
between them at the second order in deformation parameters, which comes from
the coupling of the translational zero modes of the D(-1)-branes to the R-R
background. We improve the deformed action by adding a term with space-time
dependent gauge coupling. Although the space-time action differs from the
action in the omega-background, both actions lead to the same instanton
equations of motion at the lowest order in gauge coupling.


title:
Magnetic Fields of Nearby Active Galactic Nuclei and Correlation of the
  Highest-Energy Cosmic Rays with their Positions

abstract:
  The correlation between the pointing direction of ultra high energy cosmic
rays and AGN observed by the Pierre Auger Collaboration is explained in the
framework of acceleration process in AGN. This acceleration process is produced
by a rotating accretion disk around a black hole that is frozen-in magnetic
field. In a result the accretion disk is acting as a induction accelerator of
cosmic rays. We estimate the resulting magnetic field in the framework of the
magnetic coupling process. The results of our calculations allow to make the
conclusion that the Flat Spectrum Radio Quasars appear the effective cosmic
accelerators. We estimate also the attenuation of highest-energy cosmic rays in
a result of their interaction with ambient radiation field.


title:
The adic realization of the Morse transformation and the extension of
  its action on the solenoid

abstract:
  We consider the adic realization of the Morse transformation on the additive
group of integer dyadic numbers. We discuss the arithmetic properties of that
action. Then we extend that action to the action of the group of rational
dyadic numbers on the solenoid.


title: On mappings of terms determined by hypersubstitutions

abstract:
  The extensions of hypersubstitutions are mappings on the set of all terms. In
the present paper we characterize all hypersubstitutions which provide
bijections on the set of all terms. The set of all such hypersubstitutions
forms a monoid. On the other hand, one can modify each hypersubstitution to any
mapping on the set of terms. For this we can consider mappings from the set of
all hypersubstitutions into the set of all mappings on the set of all terms.


title: Photometric redshifts for the CFHTLS T0004 Deep and Wide fields

abstract:
  We compute photometric redshifts based on the template-fitting method in the
fourth public release of the Canada-France-Hawaii Telescope Legacy Survey. This
unique multi-colour catalogue comprises u*,g',r',i',z' photometry in four deep
fields of 1 deg2 each and 35 deg2 distributed over three Wide fields. Our
photometric redshifts are calibrated with and compared to 16,983 high-quality
spectroscopic redshifts from several surveys. We find a dispersion of 0.028 and
an outlier rate of 3.5% in the Deep field at i'AB < 24 and a dispersion of
0.036 and an outlier rate of 2.8% in the Wide field at i'AB < 22.5. Beyond i'AB
= 22.5 in the Wide field the number of outliers rises from 5% to 10% at i'AB<23
and i'AB<24 respectively. For the Wide sample, we find the systematic redshift
bias keeps below 1% to i'AB < 22.5, whereas we find no significant bias in the
Deep field. We investigated the effect of tile-to-tile photometric variations
and demonstrate that the accuracy of our photometric redshifts is reduced by at
most 21%. We separate stars from galaxies using both the size and colour
information, reducing the contamination by stars in our catalogues from 50% to
8% at i'AB < 22.5 in fields with the highest stellar density while keeping a
complete galaxy sample. Our CFHTLS T0004 photometric redshifts are distributed
to the community. Our release include 592,891 (i'AB < 22.5) and 244,701 (i'AB <
24) reliable galaxy photometric redshifts in the Wide and Deep fields,
respectively.


title: Synchronization of multi-phase oscillators: An Axelrod-inspired model

abstract:
  Inspired by Axelrod's model of culture dissemination, we introduce and
analyze a model for a population of coupled oscillators where different levels
of synchronization can be assimilated to different degrees of cultural
organization. The state of each oscillator is represented by a set of phases,
and the interaction --which occurs between homologous phases-- is weighted by a
decreasing function of the distance between individual states. Both ordered
arrays and random networks are considered. We find that the transition between
synchronization and incoherent behaviour is mediated by a clustering regime
with rich organizational structure, where some of the phases of a given
oscillator can be synchronized to a certain cluster, while its other phases are
synchronized to different clusters.


title: chi2TeX Semi-automatic translation from chiwriter to LaTeX

abstract:
  Semi-automatic translation of math-filled book from obsolete ChiWriter format
to LaTeX. Is it possible? Idea of criterion whether to use automatic or hand
mode for translation. Illustrations.


title: Entangled photons from a strongly coupled quantum dot-cavity system

abstract:
  A quantum dot strongly coupled to a photonic crystal has been recently
proposed as a source of entangled photon pairs [R. Johne et al., Phys. Rev.
Lett. 100, 240404 (2008)]. The biexction decay via intermediate polariton
states can be used to overcome the natural splitting between the exciton states
coupled to the horizontally and vertically polarized light modes, so that high
degrees of entanglement can be expected. We investigate theoretically the
features of realistic dot-cavity systems, including the effect of the different
oscillator strength of excitons resonances coupled to the different
polarizations of light. We show that in this case, an independent adjustment of
the cavity resonances is needed in order to keep a high entanglement degree. We
also consider the case when the biexciton-exciton transition is also strongly
coupled to a cavity mode. We show that a very fast emission rate can be
achieved allowing the repetition rates in the THz range. Such fast emission
should however be paid for by a very complex tuning of the many strongly
coupled resonances involved and by a loss of quantum efficiency. Altogether a
strongly coupled dot-cavity system seems to be very promising as a source of
entangled photon pairs.


title: Strong Approximation of Empirical Copula Processes by Gaussian Processes

abstract:
  We provide the strong approximation of empirical copula processes by a
Gaussian process. In addition we establish a strong approximation of the
smoothed empirical copula processes and a law of iterated logarithm.


title: Viscoelastic fluids in thin domains: a mathematical proof

abstract:
  The present paper deals with non Newtonian viscoelastic flows of Oldroyd-B
tye in thin domains. Such geometries arise for example in the context of
lubrication. More precisely, we justify rigorously the asymptotic model
obtained heuristically by proving the mathematical convergence of the
Navier-Stokes/Oldroyd-B sytem towards the asymptotic model.


title: Holographic Gas as Dark Energy

abstract:
  We investigate the statistical nature of holographic gas, which may represent
the quasi-particle excitations of a strongly correlated gravitational system.
We find that the holographic entropy can be obtained by modifying degeneracy.
We calculate thermodynamical quantities and investigate stability of the
holographic gas. When applying to cosmology, we find that the holographic gas
behaves as holographic dark energy, and the parameter $c$ in holographic dark
energy can be calculated from our model. Our model of holographic gas generally
predicts $c<1$, implying that the fate of our universe is phantom like.


title: The Banach space -valued BMO, Carleson's condition, and paraproducts

abstract:
  We define a scale of L^q Carleson norms, all of which characterize the
membership of a function in BMO. The phenomenon is analogous to the
John-Nirenberg inequality, but on the level of Carleson measures. The classical
Carleson condition corresponds to the L^2 case in our theory.
  The result is applied to give a new proof for the L^p-boundedness of
paraproducts with a BMO symbol. A novel feature of the argument is that all p
are covered at once in a completely interpolation-free manner. This is achieved
by using the L^1 Carleson norm, and indicates the usefulness of this notion.
Our approach is chosen so that all these results extend in a natural way to the
case of X-valued functions, where X is a Banach space with the UMD property.


title:
Anomalous Transport through the p-Wave Superconducting Channel in the
  3-K Phase of Sr2RuO4

abstract:
  Using micro fabrication techniques, we extracted individual channels of
3-Kelvin (3-K) phase superconductivity in Sr2RuO4-Ru eutectic systems and
confirmed odd-parity superconductivity in the 3-K phase, similar to pure
Sr2RuO4. Unusual hysteresis in the differential resistance-current and
voltage-current characteristics observed below 2 K indicates the internal
degrees of freedom of the superconducting state. A possible origin of the
hysteresis is current-induced chiral-domain-wall motion due to the chiral
p-wave state.


title:
Cascades and Collapses, Great Walls and Forbidden Cities: Infinite
  Towers of Metastable Vacua in Supersymmetric Field Theories

abstract:
  In this paper, we present a series of supersymmetric models exhibiting an
entirely new vacuum structure: towers of metastable vacua with higher and
higher energies. As the number of vacua grows towards infinity, the energy of
the highest vacuum remains fixed while the energy of the true ground state
tends towards zero. We study the instanton-induced tunneling dynamics
associated with such vacuum towers, and find that many distinct decay patterns
along the tower are possible: these include not only regions of vacua
experiencing direct collapses and/or tumbling cascades, but also other regions
of vacua whose stability is protected by ``great walls'' as well as regions of
vacua populating ``forbidden cities'' into which tunnelling cannot occur. We
also discuss possible applications of this setup for the cosmological-constant
problem, for studies of the string landscape, for supersymmetry breaking, and
for Z' phenomenology. Finally, we point out that a limiting case of our setup
yields theories with yet another new vacuum structure: infinite numbers of
degenerate vacua. As a result, the true ground states of such theories are
Bloch waves, with energy eigenvalues approximating a continuum and giving rise
to a vacuum ``band'' structure.


title:
Generalized transfer matrix theory on electronic transport through
  graphene waveguide

abstract:
  In the effective mass approximation, electronic property in graphene can be
characterized by the relativistic Dirac equation. Within such a continuum model
we investigate the electronic transport through graphene waveguides formed by
connecting multiple segments of armchair-edged graphene nanoribbons of
different widths. By using appropriate wavefunction connection conditions at
the junction interfaces, we generalize the conventional transfer matrix
approach to formulate the linear conductance of the graphene waveguide in terms
of the structure parameters and the incident electron energy. In comparison
with the tight-binding calculation, we find that the generalized transfer
matrix method works well in calculating the conductance spectrum of a graphene
waveguide even with a complicated structure and relatively large size. The
calculated conductance spectrum indicates that the graphene waveguide exhibits
a well-defined insulating band around the Dirac point, even though all the
constituent ribbon segments are gapless. We attribute the occurrence of the
insulating band to the antiresonance effect which is intimately associated with
the edge states localized at the shoulder regions of the junctions.
Furthermore, such an insulating band can be sensitively shifted by a gate
voltage, which suggests a device application of the graphene waveguide as an
electric nanoswitch.


title:
Statistical analysis of wind speed fluctuation and increments of
  non-stationary atmospheric boundary layer turbulence

abstract:
  We study the statistics of the horizontal component of atmospheric boundary
layer wind speed. Motivated by its non-stationarity, we investigate which
parameters remain constant or can be regarded as being piece-wise constant and
explain how to estimate them. We will verify the picture of natural atmospheric
boundary layer turbulence to be composed of successively occurring close to
ideal turbulence with different parameters. The first focus is put on the
fluctuation of wind speed around its mean behaviour. We describe a method
estimating the proportionality factor between the standard deviation of the
fluctuation and the mean wind speed and analyse its time dependence. The second
focus is put on the wind speed increments. We investigate the increment
distribution and use an algorithm based on superstatistics to quantify the time
dependence of the parameters describing the distribution. Applying the
introduced tools yields a comprehensive description of the wind speed in the
atmospheric boundary layer.


title: A hydrodynamical analysis of the steady-state shock model

abstract:
  In this article some of the hydrodynamical (HD) aspects of steady shocks as
described by the steady-state shock model are reviewed and discussed. It is
found that, at least in some of the contexts in which the steady-state model is
used, the steady-state assumption cannot be satisfied. Moreover, the main
result of the present work is that even if the assumptions on steadiness and on
the geometry are fully satisfied, serious limitations in the application of the
model are found: (i) in the absence of down-stream boundary conditions the
model is not related to the physical process(es) that originate the shock, (ii)
matter shocked during the presumed phase of steadiness of the shock is not
hydrodynamically interacting with previously shocked matter, and (iii) the
steady-state model assumes that the flow is stable against perturbations.
Furthermore, even if boundary conditions were assumed, the link between the
steady model and the astrophysical context would not be strictly speaking the
correct HD link. Time-dependent HD computations in different astrophysical
contexts (e.g. SNRs and molecular shocks) show that the steady-state
approximation is inadequate to describe these post-shock structures. Based on
the HD limitations of the steady-state model, it is advised that the model be
used to describe post-shock structures only in those astrophysical contexts
where full time-dependent HD models have already positively tested the
steadiness of the flow. Alternatively, it is suggested to replace the
steady-state model either with time-dependent HD models, or with less
problematic approximations.


title:
Modelling the Establishment of PAR Protein Polarity in the One-Cell C.
  elegans Embryo

abstract:
  At the one-cell stage, the C. elegans embryo becomes polarized along the
anterior-posterior axis. The PAR proteins form complementary anterior and
posterior domains in a dynamic process driven by cytoskeletal rearrangement.
Initially, the PAR proteins are uniformly distributed throughout the embryo.
Following a cue from fertilization, cortical actomyosin contracts towards the
anterior pole. PAR-3/PAR-6/PKC-3 (the anterior PAR proteins) become restricted
to the anterior cortex. PAR-1 and PAR-2 (the posterior PAR proteins) become
enriched in the posterior cortical region. We present a mathematical model of
this polarity establishment process, in which we take a novel approach to
combine reaction-diffusion dynamics of the PAR proteins coupled to a simple
model of actomyosin contraction. We show that known interactions between the
PAR proteins are sufficient to explain many aspects of the observed cortical
PAR dynamics in both wild-type and mutant embryos. However, cytoplasmic PAR
protein polarity, which is vital for generating daughter cells with distinct
molecular components, cannot be properly explained within such a framework. We
therefore consider additional mechanisms that can reproduce the proper
cytoplasmic polarity. In particular we predict that cytoskeletal asymmetry in
the cytoplasm, in addition to the cortical actomyosin asymmetry, is a critical
determinant of PAR protein localization.


title: Steering Bose-Einstein condensates despite time symmetry

abstract:
  A Bose-Einstein condensate in an oscillating spatially asymmetric potential
is shown to exhibit a directed current for unbiased initial conditions despite
time symmetry. This phenomenon occurs only if the interaction between atoms,
treated in mean-field approximation, exceeds a critical value. Our findings can
be described with a three-mode model (TMM). These TMM results corroborate well
with a many-body study over a time scale which increases with increasing atom
number. The duration of this time scale probes the validity of the used
mean-field approximation.


title:
Determinantal point processes and fermions on complex manifolds: Bulk
  universality

abstract:
  We consider determinantal point processes on a compact complex manifold X in
the limit of many particles. The correlation kernels of the processes are the
Bergman kernels associated to a a high power of a given Hermitian holomorphic
line bundle L over X. The empirical measure on X of the process, describing the
particle locations, converges in probability towards the pluripotential
equilibrium measure, expressed in term of the Monge-Amp\`ere operator. The
asymptotics of the corresponding fluctuations in the bulk are shown to be
asymptotically normal and described by a Gaussian free field and applies to
test functions (linear statistics) which are merely Lipschitz continuous.
Moreover, a scaling limit of the correlation functions in the bulk is shown to
be universal and expressed in terms of (the higher dimensional analog of) the
Ginibre ensemble. This geometric setting applies in particular to normal random
matrix ensembles, the two dimensional Coulomb gas, free fermions in a strong
magnetic field and multivariate orthogonal polynomials.


title: On the computation of classical, boolean and free cumulants

abstract:
  This paper introduces a simple and computationally efficient algorithm for
conversion formulae between moments and cumulants. The algorithm provides just
one formula for classical, boolean and free cumulants. This is realized by
using a suitable polynomial representation of Abel polynomials. The algorithm
relies on the classical umbral calculus, a symbolic language introduced by Rota
and Taylor in 1994, that is particularly suited to be implemented by using
software for symbolic computations. Here we give a MAPLE procedure. Comparisons
with existing procedures, especially for conversions between moments and free
cumulants, as well as examples of applications to some well-known distributions
(classical and free) end the paper.


title: Reconstructing a String-Inspired Non-minimally Coupled Quintom Model

abstract:
  Motivated by the recent work of Zhang and Chen \cite{bin}, we generalize
their work to the non-minimally coupled case. We consider a quintom model of
dark energy with a single scalar field $T$ given by a Lagrangian which inspired
by tachyonic Lagrangian in string theory. We consider non-minimal coupling of
tachyon field to the scalar curvature, then we reconstruct this model in the
light of three forms of parametrization for dynamical dark energy.


title: Geometry of Entanglement Sudden Death: Explicit Examples

abstract:
  In open quantum systems, entanglement can vanish faster than coherence. This
phenomenon is usually called sudden death of entanglement. In [M. O. Terra
Cunha, New J. Phys. 9, 237 (2007)] a geometrical explanation was offered and a
classification of all possible scenarios was given. Some classes were
exemplified, but it was still an open question whether there were examples for
the other ones. This was solved in [R.C. Drumond and M.O. Terra Cunha,
arXiv:0809.4445v1]. Here we briefly review the problem, state our results in a
precise way, discuss the generality of the approach, and add some speculative
desirable generalizations.


title:
On the detection of Lorentzian profiles in a power spectrum: A Bayesian
  approach using ignorance priors

abstract:
  Aims. Deriving accurate frequencies, amplitudes, and mode lifetimes from
stochastically driven pulsation is challenging, more so, if one demands that
realistic error estimates be given for all model fitting parameters. As has
been shown by other authors, the traditional method of fitting Lorentzian
profiles to the power spectrum of time-resolved photometric or spectroscopic
data via the Maximum Likelihood Estimation (MLE) procedure delivers good
approximations for these quantities. We, however, show that a conservative
Bayesian approach allows one to treat the detection of modes with minimal
assumptions (i.e., about the existence and identity of the modes).
  Methods. We derive a conservative Bayesian treatment for the probability of
Lorentzian profiles being present in a power spectrum and describe an efficient
implementation that evaluates the probability density distribution of
parameters by using a Markov-Chain Monte Carlo (MCMC) technique.
  Results. Potentially superior to "best-fit" procedure like MLE, which only
provides formal uncertainties, our method samples and approximates the actual
probability distributions for all parameters involved. Moreover, it avoids
shortcomings that make the MLE treatment susceptible to the built-in
assumptions of a model that is fitted to the data. This is especially relevant
when analyzing solar-type pulsation in stars other than the Sun where the
observations are of lower quality and can be over-interpreted. As an example,
we apply our technique to CoRoT observations of the solar-type pulsator HD
49933.


title: Non-Standard Neutrino Interactions from a Triplet Seesaw Model

abstract:
  We investigate non-standard neutrino interactions (NSIs) in the triplet
seesaw model featuring non-trivial correlations between NSI parameters and
neutrino masses and mixing parameters. We show that sizable NSIs can be
generated as a consequence of a nearly degenerate neutrino mass spectrum. Thus,
these NSIs could lead to quite significant signals of lepton flavor violating
decays such as \mu^- \to e^- \nu_e anti\nu_\mu and \mu^+ \to e^+ anti\nu_e
\nu_\mu at a future neutrino factory, effects adding to the uncertainty in
determination of the Earth matter density profile, as well as characteristic
patterns of the doubly charged Higgs decays observable at the Large Hadron
Collider.


title: Dark Matter Candidates - Axions, Neutralinos, Gravitinos, and Axinos

abstract:
  The existence of dark matter provides strong evidence for physics beyond the
Standard Model. Extending the Standard Model with the Peccei-Quinn symmetry
and/or supersymmetry, compelling dark matter candidates appear. For the axion,
the neutralino, the gravitino, and the axino, I review primordial production
mechanisms, cosmological and astrophysical constraints, experimental searches,
and prospects for experimental identification.


title:
On Electromagnetically Induced Transparency in the Degenerate
  $\Lambda$-scheme

abstract:
  Using an experimental work on "stopped light" as an example, we show how a
classical phenomenon of linear optics - interference of polarized light - can
imitate the effect of electromagnetically induced transparency.


title: Multifrequency study of the ring nebula SG13

abstract:
  We investigate the morphology and kinematics of the interstellar medium in
the environs of the open cluster Mrk50, which includes the Wolf-Rayet star
WR157 and a number of early B-type stars. The analysis was performed using
radio continuum images at 408 and 1420 MHz, and HI 21cm line data taken from
the Canadian Galactic Plane Survey, molecular observations of the 12CO (J=1-0)
line at 115 GHz from the Five College Radio Astronomy Observatory and available
mid and far IR observations obtained with the MSX and IRAS satellites,
respectively. This study allowed identification of the radio continuum and
molecular counterpart of the ring nebula SG13, while no neutral atomic
structure was found to be associated. The nebula is also detected in images in
the mid and far infrared, showing the existence of dust well mixed with the
ionized gas. We estimate the main physical parameters of the material linked to
the nebula. The interstellar gas distribution in the environs of Mrk50 is
compatible with a stellar wind bubble created by the mass loss from WR157. The
distribution of young stellar object (YSO) candidates in the region shows that
stellar formation activity may be present in the molecular shell that encircles
the ring nebula.


title:
A critical re-examination of resonant soft x-ray Bragg forbidden
  reflections in magnetite

abstract:
  Magnetite, Fe$_3$O$_4$, displays a highly complex low temperature crystal
structure that may be charge and orbitally ordered. Many of the recent
experimental claims of such ordering rely on resonant soft x-ray diffraction at
the oxygen K and iron L edges. We have re-examined this system and undertaken
soft x-ray diffraction experiments on a high-quality single crystal. Contrary
to previous claims in the literature, we show that the intensity observed at
the Bragg forbidden (001/2)$_c$ reflection can be explained purely in terms of
the low-temperature structural displacements around the resonant atoms. This
does not necessarily mean that magnetite is not charge or orbitally ordered,
but rather that the present sensitivity of resonant soft x-ray experiments does
not allow conclusive demonstration of such ordering.


title:
Generalized grand-canonical ensemble theory for interacting
  Bose-Einstein systems

abstract:
  We use the maximum information principle to include particle-interaction into
the grand-canonical theory of BECs. The inclusion of the particle-interaction
elucidates why thermodynamic calculations for BECs by the grand-canonical
ensemble for the non-interacting case are in coincidence with up to date
experimental results. However, in our generalized theory we can show that a BEC
experiences a real and abrupt phase-transition in contrast to the smooth
phase-transition predicted by the non-interacting grand-canonical ensemble. In
addition, we discuss possible effects due to a thermal environment and the
experimental probing from a general point of view.


title: Weizsacker energy of unitary Fermi gas in a harmonic trap

abstract:
  The universal method of construction of the rigorous lower bounds to the
Weizsacker energy is presented. We study a few-fermion systemat the unitarity.
Upper and lower bounds to the density functional theory(DFT) ground state
energy within the local density approximation (LDA) aregiven. Therigorous lower
bounds to the accuracy of the method are derived.


title: Purely twistorial string with canonical twistor field quantization

abstract:
  We introduce new purely twistorial scale-invariant action describing the
composite bosonic D=4 Nambu-Goto string with target space parametrized by the
pair of D=4 twistors. We show that by suitable gauge fixing of local scaling
one gets the bilinear twistorial action and canonical quantization rules for
the two-dimensional twistor-string fields. We consider the Poisson brackets of
all constraints characterizing our model and we obtain four first class
constraints describing two Virasoro constraints and two U(1)xU(1) Kac-Moody
(KM) local phase transformations.


title: Weak-field Hall effect and static polarizability of Bloch electrons

abstract:
  A theory of the weak field Hall effect of Bloch electrons based on the
analysis of the forces acting on electrons is presented. It is argued that the
electric current is composed of two contributions, that driven by the electric
field along current flow and the non-dissipative contribution originated in
demagnetization currents. The Hall resistance as a function of the electron
concentration for the tight-binding model of a crystal with square lattice and
body-centered cubic lattice is described in detail. For comparison the effect
of strong magnetic fields is also discussed.


title:
Approximate Bayesian computation (ABC) gives exact results under the
  assumption of model error

abstract:
  Approximate Bayesian computation (ABC) or likelihood-free inference
algorithms are used to find approximations to posterior distributions without
making explicit use of the likelihood function, depending instead on simulation
of sample data sets from the model. In this paper we show that under the
assumption of the existence of a uniform additive model error term, ABC
algorithms give exact results when sufficient summaries are used. This
interpretation allows the approximation made in many previous application
papers to be understood, and should guide the choice of metric and tolerance in
future work. ABC algorithms can be generalized by replacing the 0-1 cut-off
with an acceptance probability that varies with the distance of the simulated
data from the observed data. The acceptance density gives the distribution of
the error term, enabling the uniform error usually used to be replaced by a
general distribution. This generalization can also be applied to approximate
Markov chain Monte Carlo algorithms. In light of this work, ABC algorithms can
be seen as calibration techniques for implicit stochastic models, inferring
parameter values in light of the computer model, data, prior beliefs about the
parameter values, and any measurement or model errors.


title: Cosh-Gordon equation and quasi-Fuchsian groups

abstract:
  We show a few propositions in favour of relations between the phase space of
3D gravity, moduli of quasi-Fuchsian groups, global solutions of cosh-Gordon
equations and minimal surfaces in hyperbolic spaces.


title: Decaying Hidden Gauge Boson and the PAMELA and ATIC/PPB-BETS Anomalies

abstract:
  We show that the PAMELA anomaly in the positron fraction as well as the
ATIC/PPB-BETS excesses in the e^- + e^+ flux are simultaneously explained in
our scenario that a hidden U(1)H gauge boson constitutes dark matter of the
Universe and decays into the standard-model particles through a kinetic mixing
with an U(1)B-L gauge boson. Interestingly, the B-L charge assignment
suppresses an antiproton flux in consistent with the PAMELA and BESS
experiments, while the hierarchy between the B-L symmetry breaking scale and
the weak scale naturally leads to the right lifetime of O(10^26) seconds.


title: Quantum Witten localization and abelianization for qde solutions

abstract:
  We prove a quantum version of the localization formula of Witten that relates
invariants of a git quotient with the equivariant invariants of the action.
Using the formula we prove a quantum version of an abelianization formula of S.
Martin relating invariants of geometric invariant theory quotients by a group
and its maximal torus, conjectured by Bertram, Ciocan-Fontanine, and Kim. By
similar techniques we prove a quantum Lefschetz principle for holomorphic
symplectic reductions. As an application, we give a formula for the fundamental
solution to the quantum differential equation (qde) for the moduli space of
points on the projective line and for the smoothed moduli space of framed
sheaves on the projective plane (a Nakajima quiver variety).


title:
Modeling the Heating of Biological Tissue based on the Hyperbolic Heat
  Transfer Equation

abstract:
  In modern surgery, a multitude of minimally intrusive operational techniques
are used which are based on the punctual heating of target zones of human
tissue via laser or radio-frequency currents. Traditionally, these processes
are modeled by the bioheat equation introduced by Pennes, who considers
Fourier's theory of heat conduction. We present an alternative and more
realistic model established by the hyperbolic equation of heat transfer. To
demonstrate some features and advantages of our proposed method, we apply the
obtained results to different types of tissue heating with high energy fluxes,
in particular radiofrequency heating and pulsed laser treatment of the cornea
to correct refractive errors. Hopefully, the results of our approach help to
refine surgical interventions in this novel field of medical treatment.


title: Estimates in the Generalized Morrey Spaces for Linear Parabolic Systems

abstract:
  The purpose of this paper is to study the parabolic system
$u_t^i-D_\alpha(a_{ij}^{\alpha\beta}D_\beta u^j)=-div f^i$ in the generalized
Morrey Space $L_{\phi}^{2,\lambda}$ . We would like to understand the
regularity of the solutions of this system. It will be shown that 1: if
$a_{ij}^{\alpha\beta}\in C(\bar{Q_{T}})$ then $Du\in L_\phi^{2,\lambda}$, and
2: if $a_{ij}^{\alpha\beta}\in VMO(Q_{T})$ then $Du\in L_\phi^{2,\lambda}$.
Moreover we will be able to obtain estimates on the gradient of the solutions
to the system, which will tell us about the regularity of the solutions.


title:
Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio
  Model

abstract:
  In the present work we use the large-$N_c$ approximation to investigate quark
matter described by the SU(2) Nambu--Jona-Lasinio model subject to a strong
magnetic field. The Landau levels are filled in such a way that usual kinks
appear in the effective mass and other related quantities. $\beta$-equilibrium
is also considered and the macroscopic properties of a magnetar described by
this quark matter is obtained. Our study shows that the magnetar masses and
radii are larger if the magnetic field increases but only very large fields
($\ge 10^{18}$ G) affect the EoS in a non negligible way.


title:
Distinguishing Between Dark Matter and Pulsar Origins of the ATIC
  Electron Spectrum With Atmospheric Cherenkov Telescopes

abstract:
  Recent results from the Advanced Thin Ionization Calorimeter (ATIC) balloon
experiment have identified the presence of a spectral feature between
approximately 300 and 800 GeV in the cosmic ray electron spectrum. This
spectral feature appears to imply the existence of a local (within about 1 kpc)
source of high energy electrons. Emission from a local pulsar and dark matter
annihilations have each been put forth as possible origins of this signal. In
this letter, we consider the sensitivity of ground based atmospheric Cherenkov
telescopes to electrons and show that observatories such as HESS and VERITAS
should be able to resolve this feature with sufficient precision to
discriminate between the dark matter and pulsar hypotheses with considerably
greater than 5 sigma significance, even for conservative assumptions regarding
their performance. In addition, this feature provides an opportunity to perform
an absolute calibration of the energy scale of ground based, gamma ray
telescopes.


title: Resolving the HBT Puzzle in Relativistic Heavy Ion Collision

abstract:
  Two particle correlation data from the Relativistic Heavy Ion Collider have
provided detailed femtoscopic information describing the space-time structure
of the emission of pions. This data had avoided description with
hydrodynamic-based approaches, in contrast to the success of hydrodynamics in
reproducing other classes of observables. This failure has inspired the term
``HBT puzzle'', where HBT refers to femtoscopic studies which were originally
based on Hanbury-Brown Twiss interferometry. Here, the puzzle is shown to
originate not from a single shortcoming of hydrodynamic models, but the
combination of several effects: mainly including pre-thermalized acceleration,
using a stiffer equation of state, and adding viscous corrections.


title: Quantum control gates with weak cross-Kerr nonlinearity

abstract:
  In this paper, with the weak cross-Kerr nonlinearity, we first present a
special experimental scheme called C-path gate with which the realization of
all possible bipartite POVMs of two-photon polarization states can be simpler
and nearly deterministic. Following the same technique, the schemes of the
realization of quantum control gates have been proposed, including the CNOT
gate (1/2), Fredkin gate (1/8), Toffoli gate (2/23), CU gate and even MCU gate.
All these gates are scalable with the certain probabilities which are larger
than those gates in linear optics. Less resource are required and the
structures of these gates are so simple that we think they are feasible with
current technology and may be useful for the realization of universal
computation in optics.


title: Distribution of Normalized Zero-Sets of Random Entire Functions

abstract:
  This paper is concerned with the distribution of normalized zero-sets of
random entire functions. The normalization of the zero-set is performed in the
same way as that of the counting function for an entire function in Nevanlinna
theory. The result generalizes the Shiffman and Zelditch theory on the
distribution of the zeroes of random holomorphic sections of powers for
positive Hermitian holomorphic line bundles from polynomial functions to entire
functions. Our result can also be viewed as the analogy of Nevanlinna's First
Main Theorem in the theory of the distribution of zero-sets of random entire
functions.


title: $p-$Ferrer diagram, $p-$linear ideals and arithmetical rank

abstract:
  In this paper we introduce $p-$Ferrer diagram, note that $1-$ Ferrer diagram
are the usual Ferrer diagrams or Ferrer board, and corresponds to planar
partitions. To any $p-$Ferrer diagram we associate a $p-$Ferrer ideal. We prove
that $p-$Ferrer ideal have Castelnuovo mumford regularity $p+1$. We also study
Betti numbers, minimal resolutions of $p-$Ferrer ideals. Every $p-$Ferrer ideal
is $p-$joined ideals in a sense defined in a fortcoming paper \cite{m2}, which
extends the notion of linearly joined ideals introduced and developped in the
papers \cite{bm2}, \cite{bm4},\cite{eghp} and \cite{m1}. We can observe the
connection between the results on this paper about the Poincar\'e series of a
$p-$Ferrer diagram $\Phi $and the rook problem, which consist to put $k$ rooks
in a non attacking position on the $p-$Ferrer diagram $\Phi $.


title:
Dynamical Behavior of Spins in the Rare-Earth Kagom\'{e}
  Pr$_3$Ga$_5$SiO$_{14}$

abstract:
  We report on the use of $^{69,71}$Ga nuclear magnetic resonance to probe spin
dynamics in the rare-earth kagom\'{e} system Pr$_3$Ga$_5$SiO$_{14}$. We find
that the spin-lattice relaxation rate $^{69}1/T_1$ exhibits a maximum around 30
K, below which the Pr$^{3+}$ spin correlation time $\tau$ shows novel
field-dependent behavior consistent with a field-dependent gap in the
excitation spectrum. The spin-spin relaxation rate $^{69}1/T_{2}$ exhibits a
peak at a lower temperature (10 K) below which field-dependent power-law
behavior close to $T^{2}$ is observed. These results point to field-induced
formation of nanoscale magnetic clusters consistent with recent neutron
scattering measurements.


title:
Thermodynamics of the Three-dimensional Black Hole with a Coulomb-like
  Field

abstract:
  In this paper, we study the thermodynamical properties of the
(2+1)dimensional black hole with a Coulomb-like electric field and the
differential form of the first law of thermodynamics is derived considering a
virtual displacement of its event horizon. This approach shows that it is
possible to give a thermodynamical interpretation to the field equations near
the horizon. The Lambda=0 solution is studied and its interesting
thermodynamical properties are commented.


title: Magnetic structure of the field-induced multiferroic GdFe3(BO3)4

abstract:
  We report a magnetic x-ray scattering study of the field-induced multiferroic
GdFe3(BO3)4. Resonant x-ray magnetic scattering at the Gd LII,III edges
indicates that the Gd moments order at TN ~ 37 K. The magnetic structure is
incommensurate below TN, with the incommensurability decreasing monotonically
with decreasing temperature until a transition to a commensurate magnetic phase
is observed at T ~ 10 K. Both the Gd and Fe moments undergo a spin
reorientation transition at TSR ~ 9 K such that the moments are oriented along
the crystallographic c axis at low temperatures. With magnetic field applied
along the a axis, our measurements suggest that the field-induced polarization
phase has a commensurate magnetic structure with Gd moments rotated ~45 degrees
toward the basal plane, which is similar to the magnetic structure of the Gd
subsystem observed in zero field between 9 and 10 K, and the Fe subsystem has a
ferromagnetic component in the basal plane.