title: Photonic Hall effect in cold atomic clouds

abstract:
  On the basis of exact numerical simulations and analytical calculations, we
describe qualitatively and quantitatively the interference processes at the
origin of the photonic Hall effect for resonant Rayleigh (point-dipole)
scatterers in a magnetic field. For resonant incoming light, the induced giant
magneto-optical effects result in relative Hall currents in the percent range,
three orders of magnitude larger than with classical scatterers. This suggests
that the observation of the photonic Hall effect in cold atomic vapors is
within experimental reach.


title:
Lorentz invariance relations between parton distributions and the
  Wandzura-Wilczek approximation

abstract:
  The violation of the so-called Lorentz invariance relations between parton
distribution functions is considered in a model independent way. It is shown
that these relations are not violated in a generalized Wandzura-Wilczek
approximation, indicating that numerically their violation may be small.


title: Nuclear Scissors with Pairing and Continuity Equation

abstract:
  The coupled dynamics of the isovector and isoscalar giant quadrupole
resonances and low lying modes (including scissors) are studied with the help
of the Wigner Function Moments (WFM) method generalized to take into account
pair correlations. Equations of motion for collective variables are derived on
the basis of the Time Dependent Hartree-Fock-Bogoliubov (TDHFB) equations in
the harmonic oscillator model with quadrupole-quadrupole (QQ) residual
interaction and a Gaussian pairing force. Special care is taken of the
continuity equation.


title:
Renormalization of Molecular Quasiparticle Levels at Metal-Molecule
  Interfaces: Trends Across Binding Regimes

abstract:
  When an electron or a hole is added into an orbital of an adsorbed molecule
the substrate electrons will rearrange in order to screen the added charge.
This results in a reduction of the electron addition/removal energies as
compared to the free molecule case. In this work we use a simple model to
illustrate the universal trends of this renormalization mechanism as a function
of the microscopic key parameters. Insight of both fundamental and practical
importance is obtained by comparing GW quasiparticle energies with Hartree-Fock
and Kohn-Sham calculations. We identify two different polarization mechanisms:
(i) polarization of the metal (image charge formation) and (ii) polarization of
the molecule via charge transfer across the interface. The importance of (i)
and (ii) is found to increase with the metal density of states at the Fermi
level and metal-molecule coupling strength, respectively.


title:
Contrasting the magnetic response between magnetic-glass and reentrant
  spin-glass

abstract:
  Magnetic-glass is a recently identified phenomenon in various classes of
magnetic systems undergoing a first order magnetic phase transition. We shall
highlight here a few experimentally determined characteristics of
magnetic-glass and the relevant set of experiments, which will enable to
distinguish a magnetic-glass unequivocally from the well known phenomena of
spin-glass and reentrant spin-glass.


title:
Calculated Magnetic Exchange Interactions in High-Temeprature
  Superconductors

abstract:
  Using a first principles linear response approach, we study the magnetic
exchange interactions J for a series of superconducting cuprates. We reproduce
the observed spin-wave dispersions together with other experimental trends, and
show that different cuprates have similar J's regardless their T$_{c}$. The
nearest neighbor J is not sensitive to the hole-doping, which agrees with
recent experiments. For the undoped cuprates, the second nearest neighbor J is
ferromagnetic, but changes its sign with hole-doping. We also find that, in
contrast to the hopping integral, the exchange interaction is not sensitive to
the position of apical oxygen. To see the effect of the long--range nature of
the exchange on the superconducting T$_{c}$, we study the dynamical spin
susceptibility $\chi (q,\omega)$ within the t--J model using a dynamical
cluster approximation.


title: Morasses and finite support iterations

abstract:
  We introduce a method of constructing a forcing along a simplified
$(\kappa,1)$-morass such that the forcing satisfies the $\kappa$-chain
condition. Alternatively, this may be seen as a method to thin out a larger
forcing to get a chain condition. As an application, we construct a ccc forcing
that adds an $\omega_2$-Suslin tree. Related methods are Shelah's historic
forcing and Todorcevic's $\rho$-functions.


title: Polarization in Heavy Ion Physics

abstract:
  Role of polarization studies in heavy ion physics is discussed with emphasis
on the search for quark-gluon plasma formation and studies of its dynamical
properties.


title: Limiting Distribution of Frobenius Numbers for $n=3$

abstract:
  The purpose of this paper is to give a complete derivation of the limiting
distribution of large Frobenius numbers outlined in earlier work of J. Bourgain
and Ya. Sinai and fill some gaps formulated there as hypotheses.


title: Non chiral dynamical flavors and screening on the conifold

abstract:
  We present a new class of string theory solutions which are conjectured to be
dual to the N=1 conifold theory by Klebanov and Witten coupled to non chiral
massive dynamical flavors. These are introduced, in the Veneziano limit, by
means of suitably embedded and smeared D7-branes whose full backreaction on the
background is taken into account. The string solutions are used to study
chromoelectric charge screening effects due to the dynamical flavors in the non
perturbative regime of the dual gauge theories.


title: Multiplexing of discrete chaotic signals in presence of noise

abstract:
  In this paper, multiplexing of discrete chaotic signals in the presence of
noise is investigated. Existing methods are based on chaotic synchronization
which is susceptible to noise and parameter mismatch. Furthermore, these
methods fail for multiplexing more than two discrete chaotic signals. We
propose two novel methods to multiplex multiple discrete chaotic signals based
on the principle of symbolic sequence invariance in the presence of noise and
finite precision implementation of finding the initial condition of an
arbitrarily long symbolic sequence of a chaotic map.


title:
On the role of conserved moieties in shaping the robustness and
  production capabilities of reaction networks

abstract:
  We study a simplified, solvable model of a fully-connected metabolic network
with constrained quenched disorder to mimic the conservation laws imposed by
stoichiometry on chemical reactions. Within a spin-glass type of approach, we
show that in presence of a conserved metabolic pool the flux state
corresponding to maximal growth is stationary independently of the pool size.
In addition, and at odds with the case of unconstrained networks, the volume of
optimal flux configurations remains finite, indicating that the frustration
imposed by stoichiometric constraints, while reducing growth capabilities,
confers robustness and flexibility to the system. These results have a clear
biological interpretation and provide a basic, fully analytical explanation to
features recently observed in real metabolic networks.


title:
A Simple Determination of the Thermodynamical Characteristics of the
  Weakly Charged, Very Thin Black Ring

abstract:
  In our previous work we suggested a very simple, approximate formalism for
description of some basic (especially thermodynamical) characteristics of a
non-charged, rotating, very thin black ring. Here, in our new work,
generalizing our previous results, we suggest a very simple, approximate
description of some basic (especially thermodynamical) characteristics of a
weakly charged, rotating, very thin black ring. (Our formalism is not
theoretically dubious, since, at it is not hard to see, it can represent an
extreme simplification of a more accurate, e.g. Copeland-Lahiri, string
formalism for the black hole description.) Even if suggested formalism is,
generally speaking, phenomenological and rough, obtained final results,
unexpectedly, are non-trivial. Concretely, given formalism reproduces exactly
Bekenstein-Hawking entropy, Bekenstein quantization of the entropy or horizon
area and Hawking temperature of a weakly charged, rotating, very thin black
ring originally obtained earlier using more accurate analysis by Emparan,
Aestefanesei, Radu etc. (Conceptually it is similar to situation in Bohr's
atomic model where energy levels are determined practically exactly even if
electron motion is described roughly.) Our formalism is physically based on the
assumption that circumference of the horizon tube holds the natural (integer)
number of corresponding reduced Compton's wave length. (It is conceptually
similar to Bohr's quantization postulate in Bohr's atomic model interpreted by
de Broglie relation.) Also, we use, mathematically, practically only simple
algebraic equations.


title:
Paraxial meridional ray tracing equations from the unified
  reflection-refraction law via geometric algebra

abstract:
  We derive the paraxial meridional ray tracing equations from the unified
reflection-refraction law using geometric algebra. This unified law states that
the normal vector to the interface is a rotation of the incident ray or of the
refracted ray or of the reflected ray by an angle equal to the angle of
incidence or of refraction. We obtain the finite meridional ray tracing
equations by simply equating the arguments of the exponential rotation
operators. We then derive the paraxial limits of these equations with the help
of sign function identities. We show that by embedding the sign functions in
the ray tracing equations, we explicitly declare our chosen sign conventions in
symbols and not in prose.


title:
Substitution Tilings and Separated Nets with Similarities to the Integer
  Lattice

abstract:
  We show that any primitive substitution tiling of the plane creates a
separated net which is biLipschitz to the integer lattice. Then we show that if
H is a primitive Pisot substitution in an Euclidean space, for every separated
net Y, that corresponds to some tiling of the tiling space, there exists a
bijection F between Y and the integer lattice that translate every element of Y
a bounded distance. As a corollary we get that we have such an F for any
separated net that corresponds to a Penrose Tiling. The proofs rely on results
of Laczkovich, and Burago and Kleiner.


title: Review of Properties of the Top Quark from Measurements at the Tevatron

abstract:
  This review summarizes the program in the physics of the top quark being
pursued at Fermilab's Tevatron proton-antiproton collider at a center of mass
energy of 1.96 TeV. More than a decade after the discovery of the top quark at
the two collider detectors CDF and D0, the Tevatron has been the only
accelerator to produce top quarks and to study them directly.
  The Tevatron's increased luminosity and center of mass energy offer the
possibility to scrutinize the properties of this heaviest fundamental particle
through new measurements that were not feasible before, such as the first
evidence for electroweak production of top quarks and the resulting direct
constraints on the involved couplings. Better measurements of top quark
properties provide more stringent tests of predictions from the standard model
of elementary particle physics. In particular, the improvement in measurements
of the mass of the top quark, with the latest uncertainty of 0.7% marking the
most precisely measured quark mass to date, further constrains the prediction
of the mass of the still to be discovered Higgs boson.


title:
Exploring the remarkable subpulse drift and polarization properties of
  PSR B0818-41

abstract:
  PSR B0818-41 is one of the few pulsars which show multiple drift regions
having well defined phase relationship. In this paper we report new results
from the multifrequency GMRT observations of this pulsar. Significant linear
polarization is observed with depolarization at the edge of the profile, due to
orthogonal polarization. Circular polarization changes sign near the middle of
the pulse profile at 1060 MHz, but not observed at 325 and 610 MHz. Remarkable
frequency evolution of polarization angle (PA) is observed. Based on the
frequency evolution of average profile, PA swing and results from subpulse
drifting, we propose two possible emission geometries, alpha~11 deg, beta~-5.4
deg and alpha~175.4 deg, beta~-6.9 deg. Simulation of the pulsar radiation
pattern with both these geometries reproduces the observed features in the
drift pattern quite well. In addition to the remarkable subpulse drifting
observed at 325 MHz, we report subpulse drifting at 244 and 610 MHz. We observe
changes of drift rates, transitions from negative to stationary and stationary
to negative drift rates, with some connection with nulls. Though P3m is the
same for all the drift regions, P2m and Delta(Phi) values are different for the
inner and outer drift regions. The peak emission from the leading and the
trailing outer regions are offset by ~ 9 P1. Utilising this information, we
solve the aliasing problem and predict P4~ 10 s, which makes it the fastest
known carousel. The drift pattern from the two rings are phase locked for PSR
B0818-41. The same is found to be true for, all pulsars showing drifting in
multiple rings of emission and puts constraints on the theoretical models of
pulsar emission mechanism and, favors a pan magnetospeheric radiation
mechanism.


title: The effect of convection on pulsational stability

abstract:
  A review on the current state of mode physics in classical pulsators is
presented. Two, currently in use, time-dependent convection models are compared
and their applications on mode stability are discussed with particular emphasis
on the location of the Delta Scuti instability strip.


title: Interfacial and wetting properties of a binary point Yukawa fluid

abstract:
  We investigate the interfacial phase behavior of a binary fluid mixture
composed of repulsive point Yukawa particles. Using a simple approximation for
the Helmholtz free energy functional, which yields the random phase
approximation (RPA) for the pair direct correlation functions, we calculate the
equilibrium fluid density profiles of the two species of particles adsorbed at
a planar wall. We show that for a particular choice (repulsive exponential) of
the wall potentials and the fluid pair-potential parameters, the Euler-Lagrange
equations for the equilibrium fluid density profiles may be transformed into a
single ordinary differential equation and the profiles obtained by a simple
quadrature. For certain other choices of the fluid pair-potential parameters
fluid-fluid phase separation of the bulk fluid is observed. We find that when
such a mixture is exposed to a planar hard-wall, the fluid exhibits complete
wetting on the species 2 poor side of the binodal, i.e. we observe a thick film
of fluid rich in species 2 adsorbed at the hard-wall. The thickness of the
wetting film grows logarithmically with the concentration difference between
the fluid state-point and the binodal and is proportional to the bulk
correlation length of the intruding (wetting) fluid phase. However, for state
points on the binodal that are further from the critical point, we find there
is no thick wetting film. We determine the accompanying line of first-order
(pre-wetting) surface phase transitions which separate a thin and thick
adsorbed film. We show that for some other choices of repulsive wall potentials
the pre-wetting line is still present, but its location and extent in the phase
diagram is strongly dependent on the wall-fluid interaction parameters.


title:
Hard X-ray observations of PSR J1833-1034 and its associated pulsar wind
  nebula

abstract:
  PSR J1833-1034 and its associated Pulsar Wind Nebula (PWN) has been
investigated in depth through X-ray observations ranging from 0.1 to 200 keV.
The low energy X-ray data from Chandra reveal a complex morphology that is
characterised by a bright central plerion, no thermal shell and an extended
diffuse halo. The spectral emission from the central plerion softens with
radial distance from the pulsar, with the spectral index ranging from $\Gamma $
= 1.61 in the central region to $\Gamma $ =2.36 at the edge of the PWN. At
higher energy INTEGRAL detected the source in the 17--200 keV range. The data
analysis clearly shows that the main contribution to the spectral emission in
the hard X-ray energy range is originated from the PWN, while the pulsar is
dominant above 200 keV. Recent HESS observations in the high energy gamma-ray
domain show that PSR J1833-1034 is a bright TeV emitter, with a flux
corresponding to $\sim$2 per cent of the Crab in 1--10 TeV range. In addition
the spectral shape in the TeV energy region matches well with that in the hard
X-rays observed by INTEGRAL. Based on these findings, we conclude that the
emission from the pulsar and its associated PWN can be described in a scenario
where hard X-rays are produced through synchrotron light of electrons with
Lorentz factor $\gamma\sim10^{9}$ in a magnetic field of $\sim$10 micro Gauss.
In this hypothesis the TeV emission is due to Inverse Compton interaction of
the cooled electrons off the Cosmic Microwave Background photons. Search for
PSR J1833-1034 X-ray pulsed emission, via RXTE and Swift X-ray observations,
resulted in an upper limit that is about 50 per cent.


title: Tetragonal CuO: A new end member of the 3d transition metal monoxides

abstract:
  Monoclinic CuO is anomalous both structurally as well as electronically in
the 3$d$ transition metal oxide series. All the others have the cubic rock salt
structure. Here we report the synthesis and electronic property determination
of a tetragonal (elongated rock salt) form of CuO created using an epitaxial
thin film deposition approach. In situ photoelectron spectroscopy suggests an
enhanced charge transfer gap $\Delta$ with the overall bonding more ionic. As
an end member of the 3d transition monoxides, its magnetic properties should be
that of a high $T_N$ antiferromagnet.


title: Fluctuations of current-driven domain walls in the non-adiabatic regime

abstract:
  We outline a general framework to determine the effect of non-equilibrium
fluctuations on driven collective coordinates, and apply it to a current-driven
domain wall in a nanocontact. In this case the collective coordinates are the
domain-wall position and its chirality, that give rise to momentum transfer and
spin transfer, respectively. We determine the current-induced fluctuations
corresponding to these processes and show that at small frequencies they can be
incorporated by two separate effective temperatures. As an application, the
average time to depin the domain wall is calculated and found to be lowered by
current-induced fluctuations. It is shown that current-induced fluctuations
play an important role for narrow domain walls, especially at low temperatures.


title:
LOCV calculations for polarized liquid $^3{He}$ with the spin-dependent
  correlation

abstract:
  We have used the lowest order constrained variational (LOCV) method to
calculate some ground state properties of polarized liquid $^{3}He$ at zero
temperature with the spin-dependent correlation function employing the
Lennard-Jones and Aziz pair potentials. We have seen that the total energy of
polarized liquid $^{3}He$ increases by increasing polarization. For all
polarizations, it is shown that the total energy in the spin-dependent case is
lower than the spin-independent case. We have seen that the difference between
the energies of spin-dependent and spin-independent cases decreases by
increasing polarization. We have shown that the main contribution of the
potential energy comes from the spin-triplet state.


title:
Finite-matrix formulation of gauge theories on a non-commutative torus
  with twisted boundary conditions

abstract:
  We present a novel finite-matrix formulation of gauge theories on a
non-commutative torus. Unlike the previous formulation based on a map from a
square matrix to a field on a discretized torus with periodic boundary
conditions, our formulation is based on the algebraic characterization of the
configuration space. This enables us to describe the twisted boundary
conditions in terms of finite matrices and hence to realize the Morita
equivalence at a fully regularized level. Matter fields in the fundamental
representation turn out to be represented by rectangular matrices for twisted
boundary conditions analogously to the matrix spherical harmonics on the fuzzy
sphere with the monopole background. The corresponding Ginsparg-Wilson Dirac
operator defines an index, which can be used to classify gauge field
configurations into topological sectors. We also perform Monte Carlo
calculations for the index as a consistency check. Our formulation is expected
to be useful for applications of non-commutative geometry to various problems
related to topological aspects of field theories and string theories.


title: Gluon self-energy effect on CFL gap equation

abstract:
  I investigate the effects of the gluon self-energy in the color-flavor-locked
phase of color superconductivity on the value of the gap. The light plasmon
modes, which appear for energies smaller than twice the gap energy, provide the
largest contribution. They modify the subsubleading term in the solution of the
gap equation.


title: Finite size giant magnons and interactions

abstract:
  Magnon interactions give important contributions to the wrapping interactions
of the N=4 spin-chain. Similar effects are expected for the finite size
corrections to the giant magnon energy in AdS_5 x S^5. In this paper I review
the finite gap description of giant magnons and the leading order calculation
of the finite size corrections to the giant magnon dispersion relation for
multi-magnon states.


title:
Lowest Order Constrained Variational Calculation of Structure Properties
  of Protoneutron Star

abstract:
  We calculate the structure properties of protoneutron star such as equation
of state, maximum mass, radius and temperature profile using the lowest order
constrained variational method. We show that the mass and radius of
protoneutron star decrease by decreasing both entropy and temperature. For the
protoneutron star, it is shown that the temperature is nearly constant in the
core and drops rapidly near the crust.


title:
Explicit form of quark propagators and gluon self-energies in neutral
  three-flavor color superconductor

abstract:
  Enforcing color and electric charge neutrality conditions on the three-flavor
color superconducting matter, I derive the explicit form of the quark
propagators and the gluon self-energies for the gapless and the ordinary
color-flavor-locked phases.


title: Unified Parametrization for Quark and Lepton Mixing Angles

abstract:
  We propose a new parametrization for the quark and lepton mixing matrices:
the two 12-mixing angles (the Cabibbo angle and the angle responsible for solar
neutrino oscillations) are at zeroth order pi/12 and pi/5, respectively. The
resulting 12-elements in the CKM and PMNS matrices, V_{us} and U_{e2}, are in
this order irrational but simple algebraic numbers. We note that the cosine of
pi/5 is the golden ratio divided by two. The difference between pi/5 and the
observed best-fit value of solar neutrino mixing is of the same order as the
difference between the observed value and the one for tri-bimaximal mixing. In
order to reproduce the central values of current fits, corrections to the
zeroth order expressions are necessary. They are small and of the same order
and sign for quarks and leptons. We parametrize the perturbations to the CKM
and PMNS matrices in a 'triminimal' way, i.e., with three small rotations in an
order corresponding to the order of the rotations in the PDG-description of
mixing matrices.


title:
On the representation ring of the polynomial algebra over a perfect
  field

abstract:
  We consider the tensor product of modules over the polynomial algebra
corresponding to the usual tensor product of linear operators. We present a
general description of the representation ring in case the ground field k is
perfect. It is made explicit in the special cases when k is real closed
respectively algebraically closed. Furthermore, we discuss the generalisation
of this problem to representations of quivers. In particular the representation
ring of quivers of extended Dynkin type A is provided.


title:
Relativistic Atomic Physics: from Atomic Clock Synchronization towards
  Relativistic Entanglement

abstract:
  A review is given of the implications of the absence of an intrinsic notion
of instantaneous 3-space, so that a clock synchronization convention has to be
introduced, for relativistic theories.


title: Accessing nanomechanical resonators via a fast microwave circuit

abstract:
  The measurement of micron-sized mechanical resonators by electrical
techniques is difficult, because of the combination of a high frequency and a
small mechanical displacement which together suppress the electromechanical
coupling. The only electromagnetic technique proven up to the range of several
hundred MHz requires the usage of heavy magnetic fields and cryogenic
conditions. Here we show how, without the need of either of them, to fully
electrically detect the vibrations of conductive nanomechanical resonators up
to the microwave regime. We use the electrically actuated vibrations to
modulate an LC tank circuit which blocks the stray capacitance, and detect the
created sideband voltage by a microwave analyzer. We show the novel technique
up to mechanical frequencies of 200 MHz. Finally, we estimate how one could
approach the quantum limit of mechanical systems.


title: The contribution of INTEGRAL to blazar science

abstract:
  We review 6 years of INTEGRAL observations of blazars, from
Target-Of-Opportunity (TOO) to normal observations to coordinated campaigns,
from the new and unexpected discoveries to the improvements in this research
field. We also shortly review what is expected from INTEGRAL for the
forthcoming years.


title:
Dynamic critical behavior of model A in films: Zero-mode boundary
  conditions and expansion near four dimensions

abstract:
  The critical dynamics of relaxational stochastic models with nonconserved
$n$-component order parameter $\bm{\phi}$ and no coupling to other slow
variables ("model A") is investigated in film geometries for the cases of
periodic and free boundary conditions. The Hamiltonian $\mathcal{H}$ governing
the stationary equilibrium distribution is taken to be O(n) symmetric and to
involve, in the case of free boundary conditions, the boundary terms
$\int_{\mathfrak{B}_j}\mathring{c}_j \phi^2/2$ associated with the two
confining surface planes $\mathfrak{B}_j$, $j=1,2$, at $z=0$ and $z=L$, where
the enhancement variables $\mathring{c}_j$ are presumed to be subcritical or
critical. A field-theoretic RG study of the dynamic critical behavior at
$d=4-\epsilon$ bulk dimensions is presented, with special attention paid to the
cases where the classical theories involve zero modes at $T_{c,\infty}$. This
applies when either both $\mathring{c}_j$ take the critical value
$\mathring{c}_{\text{sp}}$ associated with the special surface transition, or
else periodic boundary conditions are imposed. Owing to the zero modes, the
$\epsilon$ expansion becomes ill-defined at $T_{c,\infty}$. Analogously to the
static case, the field theory can be reorganized to obtain a well-defined
small-$\epsilon$ expansion involving half-integer powers of $\epsilon$,
modulated by powers of $\ln\epsilon$. Explicit results for the scaling
functions of $T$-dependent finite-size susceptibilities at temperatures $T\ge
T_{c,\infty}$ and of layer and surface susceptibilities at the bulk critical
point are given to orders $\epsilon$ and $\epsilon^{3/2}$, respectively. For
the case of periodic boundary conditions, the consistency of the expansions to
$O(\epsilon^{3/2})$ with exact large-$n$ results is shown.


title: Entanglement of Electrons Field-Emitted from a Superconductor

abstract:
  Under appropriate circumstances the electrons emitted from a superconducting
tip can be entangled. We analyze these nonlocal correlations by studying the
coincidences of the field-emitted electrons and show that electrons emitted in
opposite directions violate Bell's inequality. We scrutinize the interplay
between the bosonic nature of Cooper pairs and the fermionic nature of
electrons. We further discuss the feasibility of our analysis in the light of
present experimental capabilities.


title: On General Balance Laws with Boundary

abstract:
  This paper is devoted to general balance laws (with a possibly non local
source term) with a non-characteristic boundary. Basic well posedness results
are obtained, trying to provide sharp estimates. In particular, bounds tend to
blow up as the boundary tends to be characteristic. New uniqueness results for
the solutions to conservation and/or balance laws with boundary are also
provided.


title: Granulation in K-type Dwarf Stars. I. Spectroscopic observations

abstract:
  Very high resolution (R~160,000-210,000), high signal-to-noise ratio
(S/N>300) spectra of nine bright K-dwarfs were obtained with the 2dcoude
spectrograph on the 2.7m Telescope at McDonald Observatory to determine
wavelength shifts and asymmetries of Fe I lines. The observed shapes and
positions of Fe I lines reveal asymmetries and wavelength shifts that indicate
the presence of granulation. In particular, line bisectors show characteristic
C-shapes while line core wavelengths are blueshifted by an amount that
increases with decreasing equivalent width (EW). On average, Fe I line
bisectors have a span that ranges from nearly 0 for the weakest lines (residual
core flux > 0.7) to about 75 m/s for the strongest lines (residual core flux ~
0.3) while wavelength shifts range from about -150 m/s in the weakest (EW ~ 10
mA) lines to 0 in the strongest (EW > 100 mA) features. A more detailed
inspection of the bisectors and wavelength shifts reveals star-to-star
differences that are likely associated with differences in stellar parameters,
projected rotational velocity, and stellar activity. For the inactive, slow
projected rotational velocity stars, we detect, unequivocally, a plateau in the
line-shifts at large EW values (EW > 100 mA), a behavior that had been
identified before only in the solar spectrum. The detection of this plateau
allows us to determine the zero point of the convective blueshifts, which is
useful to determine absolute radial velocities. Thus, we are able to measure
such velocities with a mean uncertainty of about 60 m/s.


title:
Electron-hole spectra created by adsorption on metals from
  density-functional theory

abstract:
  Non-adiabaticity in adsorption on metal surfaces gives rise to a number of
measurable effects, such as chemicurrents and exo-electron emission. Here we
present a quantitative theory of chemicurrents on the basis of ground-state
density-functional theory (DFT) calculations of the effective electronic
potential and the Kohn-Sham band structure. Excitation probabilities are
calculated both for electron-hole pairs and for electrons and holes separately
from first-order time-dependent perturbation theory. This is accomplished by
evaluating the matrix elements (between Kohn-Sham states) of the rate of change
of the effective electronic potential between subsequent (static) DFT
calculations. Our approach is related to the theory of electronic friction, but
allows for direct access to the excitation spectra. The method is applied to
adsorption of atomic hydrogen isotopes on the Al(111) surface. The results are
compatible with the available experimental data (for noble metal surfaces); in
particular, the observed isotope effect in H versus D adsorption is described
by the present theory. Moreover, the results are in qualitative agreement with
computationally elaborate calculations of the full dynamics within
time-dependent density-functional theory, with the notable exception of effects
due to the spin dynamics. Being a perturbational approach, the method proposed
here is simple enough to be applied to a wide class of adsorbates and surfaces,
while at the same time allowing us to extract system-specific information.


title:
The classification of complete stable area-stationary surfaces in the
  Heisenberg group $\mathbb{H}^1$

abstract:
  We prove that any $C^2$ complete, orientable, connected, stable
area-stationary surface in the sub-Riemannian Heisenberg group $\mathbb{H}^1$
is either a Euclidean plane or congruent to the hyperbolic paraboloid $t=xy$.


title:
A General Relativistic study of the neutrino path and calculation of
  minimum photosphere for different stars

abstract:
  A detailed general relativistic (GR) calculation of the neutrino path for a
general metric describing a rotating star is studied. We have calculated the
neutrino path along a plane, with the consideration that the neutrino does not
at any time leave the plane. The expression for the minimum photosphere radius
(MPR) is obtained and matched with the Schwarzschild limit. The MPR is
calculated for the stars with two different equations of state (EOS) each
rotating with two different velocities. The results shows that the MPR for the
hadronic star is much greater than the quark star and the MPR increases as the
rotational velocity of the star decreases. The MPR along the polar plane is
larger than that along the equatorial plane.


title:
One and two-center processes in high-order harmonic generation in
  diatomic molecules: influence of the internuclear separation

abstract:
  We analyze the influence of different recombination scenarios, involving one
or two centers, on high-order harmonic generation (HHG) in diatomic molecules,
for different values of the internuclear separation. We work within the
strong-field approximation, and employ modified saddle-point equations, in
which the structure of the molecule is incorporated. We find that the
two-center interference patterns, attributed to high-order harmonic emission at
spatially separated centers, are formed by the quantum interference of the
orbits starting at a center $C_{j}$ and finishing at a different center $C_{\nu
}$ in the molecule with those starting and ending at a same center $C_{j}.$
Within our framework, we also show that contributions starting at different
centers exhibit different orders of magnitude, due to the influence of
additional potential-energy shifts. This holds even for small internuclear
distances. Similar results can also be obtained by considering single-atom
saddle-point equations and an adequate choice of molecular prefactors.


title: Spectral geometry, link complements and surgery diagrams

abstract:
  We provide an upper bound on the Cheeger constant and first eigenvalue of the
Laplacian of a finite-volume hyperbolic 3-manifold M, in terms of data from any
surgery diagram for M. This has several consequences. We prove that a family of
hyperbolic alternating link complements is expanding if and only if they have
bounded volume. We also provide examples of hyperbolic 3-manifolds which
require 'complicated' surgery diagrams, thereby proving that a recent theorem
of Constantino and Thurston is sharp. Along the way, we find a new upper bound
on the bridge number of a knot that is not tangle composite, in terms of the
twist number of any diagram of the knot. The proofs rely on a theorem of Lipton
and Tarjan on planar graphs, and also the relationship between many different
notions of width for knots and 3-manifolds.


title:
Post-Newtonian simulations of super-massive black hole binaries in
  galactic nuclei

abstract:
  We present some preliminary results from recent numerical simulations that
model the evolution of super-massive black hole (SMBH) binaries in galactic
nuclei. Including the post-Newtonian terms for the binary system and adopting
appropriate models for the galaxies allows us, for the first time, to follow
the evolution of SMBH binaries from kpc scales down to the coalescence phase.
We use our results to make predictions of the detectability of such events with
the gravitational wave detector LISA.


title:
The Procesi-Schacher conjecture and Hilbert's 17th problem for algebras
  with involution

abstract:
  In 1976 Procesi and Schacher developed an Artin-Schreier type theory for
central simple algebras with involution and conjectured that in such an algebra
a totally positive element is always a sum of hermitian squares. In this paper
elementary counterexamples to this conjecture are constructed and cases are
studied where the conjecture does hold. Also, a Positivstellensatz is
established for noncommutative polynomials, positive semidefinite on all tuples
of matrices of a fixed size.


title: Challenging the generalized second law

abstract:
  The generalized second law (GSL) of black hole thermodynamics states that the
sum of changes in black hole entropy and the ordinary entropy of matter and
fields outside the hole must be non-negative. In the classical limit, the GSL
reduces to Hawking's area theorem. Neither law identifies the specific effects
which makes it work in particular situations. Motivated by Davies' recent
gedanken experiment he used to infer a bound on the size of the fine structure
constant from the GSL, we study a series of variants in which an electric test
charge is lowered to a finite radius and then dropped into a Schwarzschild, a
near-extremal magnetic Reissner-Nordstrom or a near-extremal Kerr black hole.
For a classical charge, we demonstrate that a specific "backreaction" effect is
responsible for protecting the area theorem in the near-extremal examples. For
the magnetically charged Reissner-Nordstrom hole an area theorem violation is
defused by taking into account a subtle source of repulsion of the charge: the
spinning up of the black hole in the process of bringing the charge down to its
dropping point. In Kerr hole case, the electric self-force on the charge is
sufficient to right matters. However, in all experiments involving an
elementary charge, the full GSL would apparently be violated were the fine
structure constant greater than about order unity. We argue that in this case a
quantum effect, the Unruh-Wald quantum buoyancy, may protect the GSL.


title:
Ramadanov conjecture and line bundles over compact Hermitian symmetric
  spaces

abstract:
  We compute the Szeg\"o kernels of the unit circle bundles of homogeneous
negative line bundles over a compact Hermitian symmetric space. We prove that
their logarithmic terms vanish in all cases and, further, that the circle
bundles are not diffeomorphic to the unit sphere in $\CC^n$ for Grassmannian
manifolds of higher ranks. In particular they provide an infinite family of
smoothly bounded strictly pseudo-convex domains on complex manifolds for which
the log terms in the Fefferman expansion of the Szeg\"o kernel vanish and which
are not diffeomorphic to the sphere. The analogous results for the Bergman
kernel are also obtained.


title: Radon, cosine and sine transforms on Grassmannian manifolds

abstract:
  Let $G_{n,r}(\bbK)$ be the Grassmannian manifold of $k$-dimensional
$\bbK$-subspaces in $\bbK^n$ where $\bbK=\mathbb R, \mathbb C, \mathbb H$ is
the field of real, complex or quaternionic numbers. We consider the Radon,
cosine and sine transforms, $\mathcal R_{r^\prime, r}$, $\mathcal C_{r^\prime,
r}$ and $\mathcal S_{r^\prime, r}$, from the $L^2$ space $L^2(G_{n,r}(\bbK))$
to the space $L^2(G_{n,r^\prime}(\bbK))$, for $r, r^\prime \le n-1$. The $L^2$
spaces are decomposed into irreducible representations of $G$ with multiplicity
free. We compute the spectral symbols of the transforms under the
decomposition. For that purpose we prove two Bernstein-Sato type formulas on
general root systems of type BC for the sine and cosine type functions on the
compact torus $\mathbb R^r/{2\pi Q^\vee}$ generalizing our recent results for
the hyperbolic sine and cosine functions on the non-compact space $\mathbb
R^r$. We find then also a characterization of the images of the transforms. Our
results generalize those of Alesker-Bernstein and Grinberg. We prove further
that the Knapp-Stein intertwining operator for certain induced representations
is given by the sine transform and we give the unitary structure of the Stein's
complementary series in the compact picture.


title: Renormalization group and bound states

abstract:
  Renormalization group procedure suggests that the low-energy behavior of
effective coupling constant in asymptotically free Hamiltonians is connected
with the existence of bound states and depends on how the interactions
responsible for the binding are included in the renormalization group
equations.


title:
Degenerate p-Laplacian operators on H-type groups and applications to
  Hardy type inequalities

abstract:
  Let $\mathbb G$ be a step-two nilpotent group of H-type with Lie algebra
$\mathfrak G=V\oplus \mathfrak t$. We define a class of vector fields
$X=\{X_j\}$ on $\mathbb G$ depending on a real parameter $k\ge 1$, and we
consider the corresponding $p$-Laplacian operator $L_{p,k} u= \text{div}_X
(|\na_{X} u|^{p-2} \na_X u)$. For $k=1$ the vector fields $X=\{X_j\}$ are the
left invariant vector fields corresponding to an orthonormal basis of $V$, for
$k=2$ and $\mathbb G$ being the Heisenberg group they are introduced by Greiner
\cite{Greiner-cjm79}. In this paper we obtain the fundamental solution for the
operator $L_{p,k}$ and as an application, we get a Hardy type inequality
associated with $X$.


title:
The solar chromosphere at high resolution with IBIS: III. Comparison of
  Ca II K and Ca II 854.2 nm imaging

abstract:
  Filtergrams obtained in Ca II H, Ca II K and H-alpha are often employed as
diagnostics of the solar chromosphere. However, the vastly disparate appearance
between the typical filtergrams in these different lines calls into question
the nature of what is actually being observed.
  We investigate the lack of obvious structures of magnetic origin such as
fibrils and mottles in on-disk Ca II H and K images by directly comparing a
temporal sequence of classical Ca II K filtergrams with a co-spatial and
co-temporal sequence of spectrally resolved Ca II 854.2 images obtained with
the Interferometric Bidimensional Spectrometer (IBIS), considering the effect
of both the spectral and spatial smearing. We find that the lack of fine
magnetic structuring in Ca II K filtergrams, even with the narrowest available
filters, is due to observational effects. Signatures of fibrils remain however
in the temporal evolution of the filtergrams, in particular with the evidence
of magnetic shadows around the network elements. The Ca II K filtergrams do not
appear, however, to properly reflect the high-frequency behavior of the
chromosphere. Using the same analysis, we find no significant chromospheric
signature in the Hinode/SOT Ca II H quiet-Sun filtergrams.
  The picture provided by H-alpha and Ca II 854.2, which show significant
portions of the chromosphere dominated by magnetic structuring, appears to
reflect the true and essential nature of the solar chromosphere. Data which do
not resolve, spatially or spectrally, this aspect may misrepresent the behavior
the chromosphere.


title: Second order structures for sprays and connections on Frechet manifolds

abstract:
  Ambrose, Palais and Singer \cite{Ambrose} introduced the concept of second
order structures on finite dimensional manifolds. Kumar and Viswanath
\cite{Kumar} extended these results to the category of Banach manifolds. In the
present paper all of these results are generalized to a large class of Frechet
manifolds. It is proved that the existence of Christoffel and Hessian
structures, connections, sprays and dissections are equivalent on those Frechet
manifolds which can be considered as projective limits of Banach manifolds.
These concepts provide also an alternative way for the study of ordinary
differential equations on non-Banach infinite dimensional manifolds. Concrete
examples of the structures are provided using direct and flat connections.


title:
Fall of an Elastic Bar in Central Gravitational Field: I. Newtonian
  Gravity

abstract:
  Within some reasonable approximations we calculate deformation of an elastic
bar, falling on the source of central gravitational field. We consider both
elastic deformations and plastic flow together with destroying of the bar.
Concrete calculations for a number of materials are presented.


title: Lower bounds for distributed markov chain problems

abstract:
  We study the worst-case communication complexity of distributed algorithms
computing a path problem based on stationary distributions of random walks in a
network $G$ with the caveat that $G$ is also the communication network. The
problem is a natural generalization of shortest path lengths to expected path
lengths, and represents a model used in many practical applications such as
pagerank and eigentrust as well as other problems involving Markov chains
defined by networks.
  For the problem of computing a single stationary probability, we prove an
$\Omega(n^2 \log n)$ bits lower bound; the trivial centralized algorithm costs
$O(n^3)$ bits and no known algorithm beats this. We also prove lower bounds for
the related problems of approximately computing the stationary probabilities,
computing only the ranking of the nodes, and computing the node with maximal
rank. As a corollary, we obtain lower bounds for labelling schemes for the
hitting time between two nodes.


title: Magnetars and fossil-field model of origin of magnetic field

abstract:
  The evolution and genesis of Anomalous X-ray Pulsars and Soft Gamma ray
Repeaters are investigated. The new arguments in favor of magnetar model are
found. It is shown, that these objects are formed from more massive stars and
responsible for their high magnetic fields is fossil-field model.


title: Signatures for doubly-charged Higgsinos at colliders

abstract:
  Several supersymmetric models with extended gauge structures predict light
doubly-charged Higgsinos. Their distinctive signature at the large hadron
collider is highlighted by studying their production and decay characteristics.


title: GeV Majorana Neutrinos in Top-quark Decay at the LHC

abstract:
  We explore the \Delta L=2 same-sign dilepton signal from top-quark decay via
a Majorana neutrino at the LHC in the top anti-top pair production samples. The
signature is same-sign dilepton plus multi-jets with no significant missing
energy. The most optimistic region lies where the Majorana neutrino mass is
between 15-65 GeV. For 300 fb^-1 integrated luminosity, it is possible to probe
S_{ij}, the effective mixing parameter, to order of 10^-5.


title:
The saturation of the electron beam filamentation instability by the
  self-generated magnetic field and magnetic pressure gradient-driven electric
  field

abstract:
  Two counter-propagating cool and equally dense electron beams are modelled
with particle-in-cell (PIC) simulations. The electron beam filamentation
instability is examined in one spatial dimension. The box length resolves one
pair of current filaments. A small, a medium-sized and a large filament are
considered and compared. The magnetic field amplitude at the saturation time of
the filamentation instability is proportional to the filament size. It is
demonstrated, that the force on the electrons imposed by the electrostatic
field, which develops during the nonlinear stage of the instability, oscillates
around a mean value that equals the magnetic pressure gradient force. The
forces acting on the electrons due to the electrostatic and the magnetic field
have a similar strength. The electrostatic field reduces the confining force
close to the stable equilibrium of each filament and increases it farther away.
The confining potential is not sinusoidal, as assumed by the magnetic trapping
model, and it permits an overlap of current filaments (plasmons) with an
opposite flow direction. The scaling of the saturation amplitude of the
magnetic field with the filament size observed here thus differs from that
expected from the magnetic trapping model. The latter nevertheless gives a good
estimate for the magnetic saturation amplitude. The increase of the peak
electrostatic and magnetic field amplitudes with the filament size implies,
that the electrons heat up more and that the spatial modulation of their mean
speed along the beam flow direction increases with the filament size.


title:
Mechanism of Terahertz Electromagnetic Wave Emission from Intrinsic
  Josephson Junctions

abstract:
  Using a 3-D parallelepiped model of intrinsic Josephson junctions, we
calculate the cavity resonance modes of Josephson plasma waves excited by
external electric currents. The electromagnetic (EM) wave of the excited
Josephson plasma is converted to a THz EM wave at the sample surfaces. The
cavity modes accompanied by static phase kinks of the superconducting order
parameter have been intensively investigated. The phase kinks induce a spatial
modulation of the amplitude of the order parameter around the kinks and
decrease the superconducting condensation energy. The Josephson plasma produces
a magnetic field in the vacuum in addition to the emitted EM wave. This
magnetic energy detemines the orientation of the cavity mode. Taking account of
the facts mentioned above, we obtained sharp resonance peaks in the I-V curves
and sizable powers of continuous and coherent terahertz wave emission at the
cavity resonance. The emission frequencies are inversely proportional to the
length of the shorter side of the samples in agreement with experiments.


title:
On the hyperbolic automorphisms of the 2-torus and their Markov
  partitions

abstract:
  In the paper we give an introduction to Anosov diffeomorphisms, ways to
represent their chaotic properties and some historical remarks on this subject.
A complete classification of hyperbolic linear automorphisms of 2-torus is
presented. We introduce a notion of pre-Markov partition for such automorphisms
and give their classification and an algorithm for their construction.


title:
PT Symmetry and Hermithean Hamiltonian in the Local Supercritical
  Pomeron Model

abstract:
  The local reggeon field theory is studied perturbatively taking advantage of
the PT symmetry in the Hamiltonian formulation. In the lowest non trivial order
we show that the pomeron interactions renormalize the slope. In the same order
we find a non local pair potential acting between pomerons, which has a
singular structure. However the analysis of the scattering operator shows that
at small coupling constant bound states do not appear so that the two-particle
spectrum is not changed.


title:
Shear viscosity in late time of hydrodynamic evolution in AdS/CFT
  duality

abstract:
  We investigate the shear viscosity $\eta$ and the entropy density $s$ of
strongly coupled $\mathcal{N}=4$ super Yang-Mills (SYM) plasma in late time of
hydrodynamic evolution with AdS/CFT duality and Bjorken scaling. We use
correlation function method proposed by Kovtun, Son and Starinets. We obtain
the metric $g_{\mu\nu}$ in a proper time dependent $AdS_{5}$ space through
holographic renormalization, whose boundary condition is given by
energy-momentum tensor of the plasma in 2+1 dimension with transverse expansion
or radial flow. With the metric we compute $\eta$ and $s$ of fluids in 1+1 and
2+1 dimension without and with radial flow. We find the ratio $\eta/s=1/(4\pi)$
in 1+1 dimension consistent with the Kovtun-Son-Starinets bound if
next-to-leading terms in proper time are included in the equation of motion for
metric perturbations. For 2+1 dimension the result is unchanged in the leading
order of transverse rapidity.


title: Measurement Induced Quantum Coherence Recovery

abstract:
  We show that measurement can recover the quantum coherence of a qubit in a
non-Markovian environment. The experimental demonstration in an optical system
is provided by comparing the visibilities (and fidelities) of the final states
with and without measurement. This method can be extended to other two-level
quantum systems and entangled states in a non-Markovian evolution environment.
It may also be used to implement other quantum information processing.


title: NUV radii of the extrasolar planet HD 209458b

abstract:
  Extrasolar planetary transits are powerful tools to probe their atmosphere
and to extract key physical properties of planets, like their mean densities,
chemical compositions, or atmospheric structures. Every 3.5 days, the transits
of the gaseous planet orbiting HD209458 offer the opportunity to investigate
the spectral features of its atmosphere. We present here NUV transmission
spectroscopy of the transiting extrasolar planet HD209458b using HST/ACS. We
show the data analysis of the seven HST orbits which were used to observe two
transits of HD209458b. Due to various remaining systematics, the radius of the
planet in the NUV could not be extracted with a high precison. However, we
derived a radius of Rp=1.4Rjup+/-0.08 between 2800 and 3100 AA which is
consistent with previous measurements in the visible.


title: Manifest Verification of QCD Gauge Theory

abstract:
  We analyze the magnetic moment of gluon, find if QCD is nongauge SU(3) theory
then the magnetic moment of gluon varnishes, but if QCD is gauge theory then
the magnetic moment of gluon will not vanishes. The magnetic moment of gluon
can be measured by investigate the E-M decay of gluball.


title: Vortex-lattice pinning in two-component Bose-Einstein condensates

abstract:
  We investigate the vortex-lattice structure for single- and two-component
Bose-Einstein condensates in the presence of an optical lattice, which acts as
a pinning potential for the vortices. The problem is considered in the
mean-field quantum-Hall regime, which is reached when the rotation frequency
$\Omega$ of the condensate in a radially symmetric trap approaches the (radial)
trapping frequency $\omega$ and the interactions between the atoms are weak. We
determine the vortex-lattice phase diagram as a function of optical-lattice
strength and geometry. In the limit of strong pinning the vortices are always
pinned at the maxima of the optical-lattice potential, similar to the
slow-rotation case. At intermediate pinning strength, however, due to the
competition between interactions and pinning energy, a structure arises for the
two-component case where the vortices are pinned on lines of minimal potential.


title: Choice of neighbor order in nearest-neighbor classification

abstract:
  The $k$th-nearest neighbor rule is arguably the simplest and most intuitively
appealing nonparametric classification procedure. However, application of this
method is inhibited by lack of knowledge about its properties, in particular,
about the manner in which it is influenced by the value of $k$; and by the
absence of techniques for empirical choice of $k$. In the present paper we
detail the way in which the value of $k$ determines the misclassification
error. We consider two models, Poisson and Binomial, for the training samples.
Under the first model, data are recorded in a Poisson stream and are "assigned"
to one or other of the two populations in accordance with the prior
probabilities. In particular, the total number of data in both training samples
is a Poisson-distributed random variable. Under the Binomial model, however,
the total number of data in the training samples is fixed, although again each
data value is assigned in a random way. Although the values of risk and regret
associated with the Poisson and Binomial models are different, they are
asymptotically equivalent to first order, and also to the risks associated with
kernel-based classifiers that are tailored to the case of two derivatives.
These properties motivate new methods for choosing the value of $k$.


title: On the structure of some moduli spaces of finite flat group schemes

abstract:
  We consider the moduli space, in the sense of Kisin, of finite flat models of
a 2-dimensional representation with values in a finite field of the absolute
Galois group of a totally ramified extension of $mathbb{Q}_p$. We determine the
connected components of this space and describe its irreducible components.
These results prove a modified version of a conjecture of Kisin.


title: Power grids vulnerability: a complex network approach

abstract:
  Power grids exhibit patterns of reaction to outages similar to complex
networks. Blackout sequences follow power laws, as complex systems operating
near a critical point. Here, the tolerance of electric power grids to both
accidental and malicious outages is analyzed in the framework of complex
network theory. In particular, the quantity known as efficiency is modified by
introducing a new concept of distance between nodes. As a result, a new
parameter called net-ability is proposed to evaluate the performance of power
grids. A comparison between efficiency and net-ability is provided by
estimating the vulnerability of sample networks, in terms of both the metrics.


title: Three-Layer Magnetoconvection

abstract:
  It is believed that some stars have two or more convection zones in close
proximity near to the stellar photosphere. These zones are separated by
convectively stable regions that are relatively narrow. Due to the close
proximity of these regions it is important to construct mathematical models to
understand the transport and mixing of passive and dynamic quantities. One key
quantity of interest is a magnetic field, a dynamic vector quantity, that can
drastically alter the convectively driven flows, and have an important role in
coupling the different layers. In this paper we present the first investigation
into the effect of an imposed magnetic field in such a geometry. We focus our
attention on the effect of field strength and show that, while there are some
similarities with results for magnetic field evolution in a single layer, new
and interesting phenomena are also present in a three layer system.


title: Selective Atomic Heating in Plasmas: Implications for Quantum Theory

abstract:
  A new model of quantum mechanics, Classical Quantum Mechanics, is based on
the (nearly heretical) postulate that electrons are physical objects that obey
classical physical laws. Indeed, ionization energies, excitation energies etc.
are computed based on picturing electrons as bubbles of charge that
symmetrically surround a nucleus. Hence, for example, simple algebraic
expressions based on Newtonian force balances are used to predict ionization
energies and stable excitation states with remarkable precision. One of the
most startling predictions of the model is that there are stable sizes of the
hydrogen atom electron (bubble diameter) that are smaller (called hydrinos)
than that calculated for the standard ground state. Experimental evidence in
support of this novel physical/classical version of quantum is alleged to be
found in the existence of super heated hydrogen atoms reported by many teams in
a variety of plasmas. It is postulated that the energy required for creating
super heated H aoms comes from the shrinkage of ground state H atoms to form
hydrinos. This claim is discussed with reference to a brief review of the
published studies of line broadening.


title: Ultra High-Energy Interaction of CR protons

abstract:
  The recent Auger results suggest that although coincidences of arrival
directions with 'nearby' AGN and HiRes discovery of the GZK cut-off indicate
protons, the measured longitudinal propagation characteristics indicate heavy
nuclei, if the conventional interaction model is correct. Something has to
change! Our own view is that it is possible that the AGN -implied proton
identification is not correct and that the extra galactic particles are, in
fact, mainly 'heavies', in which case the interaction problem goes away.
However, here we assume that the particles ARE protons and examine the possible
consequences. Parameters discussed include the interaction mean-free-path,
inelasticities and 'exotic' possibilities.


title:
Automated computation of robust normal forms of planar analytic vector
  fields

abstract:
  We construct an auto-validated algorithm that calculates a close to identity
change of variables which brings a general saddle point into a normal form. The
transformation is robust in the underlying vector field, and is analytic on a
computable neighborhood of the saddle point. The normal form is suitable for
computations aimed at enclosing the flow close to the saddle, and the time it
takes a trajectory to pass it. Several examples illustrate the usefulness of
this method.


title:
Thermo-acoustic wave propagation and reflection near the liquid-gas
  critical point

abstract:
  We study the thermo-acoustic wave propagation and reflection near the
liquid-gas critical point. Specifically, we perform a numerical investigation
of the acoustic responses in a near-critical fluid to thermal perturbations
based on the same setup of a recent ultrasensitive interferometry measurement
in CO2 [Y. Miura et al. Phys. Rev. E 74, 010101(R) (2006)]. The numerical
results agree well with the experimental data. New features regarding the
reflection pattern of thermo-acoustic waves near the critical point under pulse
perturbations are revealed by the proper inclusion of the critically diverging
bulk viscosity.


title:
Modelisation Numerique De L'Interaction Sol-Structure Lors Du Phenomene
  De Fontis

abstract:
  This article focuses on the simulation of soil-structure interaction during a
sinkhole development by the use of a coupling numerical modelling approach. The
2D model uses a Finite Difference computer code associated with a Distinct
Elements code to optimize the performances of both softwares. This allows an
important decrease of computation time and the results computed are close of
the experimental observations made before.


title:
On weak generalized stability and (c,d)-pseudostable random variables
  via functional equations

abstract:
  In this paper we give a first attempt to define and study stable
distributions with respect to the weak generalized convolution, focusing our
attention on the symmetric weakly stable distribution. As in the case of the
classical convolution, characterization of distributions stable in the sense of
the weak generalized convolution depends on solving some functional equations
in the class of characteristic functions.


title: Jeans type instability for a chemotactic model of cellular aggregation

abstract:
  We consider an inertial model of chemotactic aggregation generalizing the
Keller-Segel model and we study the linear dynamical stability of an infinite
and homogeneous distribution of cells (bacteria, amoebae, endothelial
cells,...) when inertial effects are accounted for. These inertial terms model
cells directional persistance. We determine the condition of instability and
the growth rate of the perturbation as a function of the cell density and the
wavelength of the perturbation. We discuss the differences between overdamped
(Keller-Segel) and inertial models. Finally, we show the analogy between the
instability criterion for biological populations and the Jeans instability
criterion in astrophysics.


title:
Perspective of Galactic dark matter subhalo detection on Fermi from the
  EGRET observation

abstract:
  The perspective of the detectability of Galactic dark matter subhaloes on the
Fermi satellite is investigated in this work. Under the assumptions that dark
matter annihilation accounts for the "GeV excess" of the Galactic diffuse
$\gamma$-rays discovered by EGRET and the $\gamma$-ray flux is dominated by the
contribution from subhaloes of dark matter, we calculate the expected number of
dark matter subhaloes that Fermi may detect. We show that Fermi may detect a
few tens to several hundred subhaloes in 1-year all sky survey. Since EGRET
observation is taken as a normalization, this prediction is independent of the
particle physics property of dark matter. The uncertainties of the prediction
are discussed in detail. We find that the major uncertainty comes from the mass
function of subhaloes, i.e., whether the subhaloes are "point like" (high-mass
rich) or "diffuse like" (low-mass rich). Other uncertainties like the
background estimation and the observational errors will contribute a factor of
$2\sim 3$.


title: Aggregation of penalized empirical risk minimizers in regression

abstract:
  We give a general result concerning the rates of convergence of penalized
empirical risk minimizers (PERM) in the regression model. Then, we consider the
problem of agnostic learning of the regression, and give in this context an
oracle inequality and a lower bound for PERM over a finite class. These results
hold for a general multivariate random design, the only assumption being the
compactness of the support of its law (allowing discrete distributions for
instance). Then, using these results, we construct adaptive estimators. We
consider as examples adaptive estimation over anisotropic Besov spaces or
reproductive kernel Hilbert spaces. Finally, we provide an empirical evidence
that aggregation leads to more stable estimators than more standard
cross-validation or generalized cross-validation methods for the selection of
the smoothing parameter, when the number of observation is small.


title: Exactly solvable model for nonlinear pulse propagation in optical fibers

abstract:
  The nonlinear Schr\"odinger (NLS) equation is a fundamental model for the
nonlinear propagation of light pulses in optical fibers. We consider an
integrable generalization of the NLS equation which was first derived by means
of bi-Hamiltonian methods in [A. S. Fokas, {\it Phys. D} {\bf 87} (1995),
145--150]. The purpose of the present paper is threefold: (a) We show how this
generalized NLS equation arises as a model for nonlinear pulse propagation in
monomode optical fibers when certain higher-order nonlinear effects are taken
into account; (b) We show that the equation is equivalent, up to a simple
change of variables, to the first negative member of the integrable hierarchy
associated with the derivative nonlinear Schr\"odinger equation; (c) We analyze
traveling-wave solutions.


title: Experimental Evidence for Quantum Structure in Cognition

abstract:
  We proof a theorem that shows that a collection of experimental data of
membership weights of items with respect to a pair of concepts and its
conjunction cannot be modeled within a classical measure theoretic weight
structure in case the experimental data contain the effect called
overextension. Since the effect of overextension, analogue to the well-known
guppy effect for concept combinations, is abundant in all experiments testing
weights of items with respect to pairs of concepts and their conjunctions, our
theorem constitutes a no-go theorem for classical measure structure for common
data of membership weights of items with respect to concepts and their
combinations. We put forward a simple geometric criterion that reveals the non
classicality of the membership weight structure and use experimentally measured
membership weights estimated by subjects in experiments to illustrate our
geometrical criterion. The violation of the classical weight structure is
similar to the violation of the well-known Bell inequalities studied in quantum
mechanics, and hence suggests that the quantum formalism and hence the modeling
by quantum membership weights can accomplish what classical membership weights
cannot do.


title: The norm game - how a norm fails

abstract:
  We discuss the simulations of the norm game between players at nodes of a
directed random network. The final boldness of the players can vary with the
initial one as the $\Theta$ function. One of the conditions of this behaviour
is that the player who does not punish automatically becomes a defector. The
threshold value of the initial boldness can be interpreted as a norm strength.
It increases with the punishment and decreases with its cost. Surprisingly, it
also decreases with the number of potential punishers. The numerical results
are discussed in the context of the statistical data on crimes in Northern
Ireland and New Zealand, on divorces in USA, and on the alcohol consumption in
Poland.


title:
Constraints on WIMP Dark Matter from the High Energy PAMELA $\bar{p}/p$
  data

abstract:
  A new calculation of the $\bar{p}/p$ ratio in cosmic rays is compared to the
recent PAMELA data. The good match up to 100 GeV allows to set constraints on
exotic contributions from thermal WIMP dark matter candidates. We derive
stringent limits on possible enhancements of the WIMP \pbar flux: a $m_{\rm
WIMP}$=100 GeV (1 TeV) signal cannot be increased by more than a factor 6 (40)
without overrunning PAMELA data. Annihilation through the $W^+W^-$ channel is
also inspected and cross-checked with $e^+/(e^-+e^+)$ data. This scenario is
strongly disfavored as it fails to simultaneously reproduce positron and
antiproton measurements.


title:
Interplay between interference and Coulomb interaction in the
  ferromagnetic Anderson model with applied magnetic field

abstract:
  We study the competition between interference due to multiple single-particle
paths and Coulomb interaction in a simple model of an Anderson-like impurity
with local-magnetic-field-induced level splitting coupled to ferromagnetic
leads. The model along with its potential experimental relevance in the field
of spintronics serves as a nontrivial benchmark system where various quantum
transport approaches can be tested and compared. We present results for the
linear conductance obtained by a spin-dependent implementation of the density
matrix renormalization group scheme which are compared with a mean-field
solution as well as a seemingly more advanced Hubbard-I approximation. We
explain why mean-field yields nearly perfect results, while the more
sophisticated Hubbard-I approach fails, even at a purely conceptual level since
it breaks hermiticity of the related density matrix. Furthermore, we study
finite bias transport through the impurity by the mean-field approach and
recently developed higher-order density matrix equations. We find that the
mean-field solution fails to describe the plausible results of the higher-order
density matrix approach both quantitatively and qualitatively as it does not
capture some essential features of the current-voltage characteristics such as
negative differential conductance.


title: When are quantum systems operationally independent?

abstract:
  We propose some formulations of the notion of "operational independence" of
two subsystems of a larger quantum system and clarify their relation to other
independence concepts in the literature. In addition, we indicate why the
operational independence of quantum subsystems holds quite generally, both in
nonrelativistic and relativistic quantum theory.


title:
Poincar\'e lemma and global homotopy formulas with sharp anisotropic
  H\"older estimates in q-concave CR manifolds

abstract:
  We prove sharp anisotropic H\"older estimates for the local solutions of the
tangential Cauchy-Riemann equation in q-concave CR manifolds and we derive the
same kind of estimates for global solutions when the manifold is compact.


title:
Structural properties of Pb3Mn7O15 determined from high-resolution
  synchrotron powder diffraction

abstract:
  We report on the crystallographic structure of the layered compound
Pb3Mn7O15. Previous analysis based on laboratory X-ray data at room temperature
gave contradictory results in terms of the description of the unit cell.
Motivated by recent magnetic bulk measurements of this system, we
re-investigated the chemical structure with high-resolution synchrotron powder
diffraction at temperatures between 15 K and 295 K. Our results show that the
crystal structure of stoichiometric Pb3Mn7O15 has a pronounced 2-dimensional
character and can be described in the orthorhombic space group Pnma.


title:
Collapses of underground cavities and soil-structure interactions:
  influences of the position of the structure relative to the cavity

abstract:
  This paper is focused on soil subsidence of small extend and amplitude caused
by tunnel boring or the collapse of underground cavities, whether natural or
man-made. The impact of the movements of the ground on existing structures is
generally dramatic. It is therefore necessary to accurately predict these
movements (settlements and horizontal extension or compression displacements).
Even though it is obvious that the overall stiffness and weight of the
structure influences the size and shape of the soil movement, the main features
of this soil-structure interaction phenomenon are not well established. Caudron
et al. (2006) developed an original small-scale physical model to take the
soil-structure interaction into account. It is based on the use of the
frictional Schneebeli material (assembly of small diameter rods) and a modified
version including cohesion in order to reproduce a cohesive layer above a
cavity. The displacements of the soil are obtained from digital images
processing by particle image velocimetry (PIV). Interesting results were
obtained, probing that the soil-structure interactions could be analysed by
this experimental model. This article is focused in a first part on the
influence of the position of the structure with respect to the cavity position.
Consequences on the areas mainly concerned by horizontal compression or
extension of the structure are determined. It appears that the stresses induced
in the building are a superposition of several elementary loading (sum of the
effects of the slope, the horizontal deformations and the curvature). The
second part concerns the effect of the relative soil/structure stiffness on the
ground movement during a cavity collapse by considering a second model of
structure with similar dimensions but more flexible.


title:
First-order dynamical phase transition in models of glasses: an approach
  based on ensembles of histories

abstract:
  We investigate the dynamics of kinetically constrained models of glass
formers by analysing the statistics of trajectories of the dynamics, or
histories, using large deviation function methods. We show that, in general,
these models exhibit a first-order dynamical transition between active and
inactive dynamical phases. We argue that the dynamical heterogeneities
displayed by these systems are a manifestation of dynamical first-order phase
coexistence. In particular, we calculate dynamical large deviation functions,
both analytically and numerically, for the Fredrickson-Andersen model, the East
model, and constrained lattice gas models. We also show how large deviation
functions can be obtained from a Landau-like theory for dynamical fluctuations.
We discuss possibilities for similar dynamical phase-coexistence behaviour in
other systems with heterogeneous dynamics.


title: Ten colours in quasiperiodic and regular hyperbolic tilings

abstract:
  Colour symmetries with ten colours are presented for different tilings. In
many cases, the existence of these colourings were predicted by group
theoretical methods. Only in a few cases explicit constructions were known,
sometimes using combination of two-colour and five-colour symmetries. Here we
present explicit constructions of several of the predicted colourings for the
first time, and discuss them in contrast to already known colourings with ten
colours.


title:
Modell zur Entstehung eines Rings aus Dunkler Materie in der
  Milchstra{\ss}enebene

abstract:
  Both the distribution of hydrogen and the rotation curve of the Milky Way
indicate the existence of a ring of Cold Dark Matter in the galactic plane with
a radius of 14 kiloparsecs around the galactic centre. Using a semianalytical
model, the formation of such a structure by the accretion of dwarf galaxies is
simulated. The formation of the ring can be explained by the infall of a single
dwarf galaxy, as well as by the infall of several dwarf galaxies under the
condition that the eccentricity of the orbits is not larger than 0.2 and the
inclination of the orbits is small. Also exclusion limits for the mass of dwarf
galaxies, which contributed to the formation of the ring, are determined.
  -----
  Die Verteilung von Wasserstoffgas sowie die Rotationskurve der
Milchstra{\ss}e deuten auf die Existenz eines Rings aus kalter Dunkler Materie
innerhalb der Milchstra{\ss}enebene in einem Abstand von rund 14 Kiloparsec um
das galaktische Zentrum. Es wird mit Hilfe eines semianalytischen Modells die
Entstehung eines solchen Rings durch den Einfall von Zwerggalaxien in die
Milchstra{\ss}e simuliert. Die Entstehung des Rings kann sowohl durch einen
Einzeleinfall als auch durch den Einfall mehrerer Zwerggalaxien erkl\"art
werden, solange die numerische Exzentrizit\"at der Orbits nicht 0.2
\"ubersteigt und die Inklination der Orbits klein ist. Auch ein die
Mindestmasse einer an der Ringentstehung beteiligten Zwerggalaxie
beschreibender Zusammenhang ist ermittelt worden.


title: Liouville type theorems for conformal Gaussian curvature equation

abstract:
  In this note, we study Liouville type theorem for conformal Gaussian
curvature equation (also called the mean field equation) $$ -\Delta u=K(x)e^u,
in R^2 $$ where $K(x)$ is a smooth function on $R^2$. When $K(x)=K(x_1)$ is a
sign-changing smooth function in the real line $R$, we have a non-existence
result for the finite total curvature solutions. When $K$ is monotone
non-decreasing along every ray starting at origin, we can prove a non-existence
result too. We use moving plane method and moving sphere method.


title:
A class of R\'{e}nyi information estimators for multidimensional
  densities

abstract:
  A class of estimators of the R\'{e}nyi and Tsallis entropies of an unknown
distribution $f$ in $\mathbb{R}^m$ is presented. These estimators are based on
the $k$th nearest-neighbor distances computed from a sample of $N$ i.i.d.
vectors with distribution $f$. We show that entropies of any order $q$,
including Shannon's entropy, can be estimated consistently with minimal
assumptions on $f$. Moreover, we show that it is straightforward to extend the
nearest-neighbor method to estimate the statistical distance between two
distributions using one i.i.d. sample from each. (Wit Correction.)


title: Duality between Hyperbolic and de Sitter Geometry

abstract:
  In this paper we describe trigonometry on the de Sitter surface. For that a
characterization of geodesics is given, leading to various types of triangles.
We define lengths and angles of these. Then, transferring the concept of polar
triangles from spherical geometry into the Minkowski space, we relate
hyperbolic with de Sitter triangles such that the proof of the hyperbolic law
of cosines for angles becomes much clearer and easier than it is traditionally.
Furthermore, polar triangles turn out to be a powerful tool for describing de
Sitter trigonometry.


title:
Dark Matter Annihilation Signals: The Importance of Radiative
  Corrections

abstract:
  Being able to safely distinguish astrophysical from potential dark matter
(DM) annihilation signals is of utmost importance for indirect DM searches. To
this end, one has to rely on distinctive -- and unique -- spectral signatures
to look for. Internal bremsstrahlung (IB), unavoidable in the presence of
charged annihilation products, provides such a signature. In fact, as it
generically dominates the gamma-ray spectrum expected from DM annihilations, at
high energies, it may well turn out to be more important for indirect DM
searches than the traditionally looked-for line signals. As illustrated in some
detail, the observation of IB signatures would even allow to distinguish
between different DM candidates or to constrain significantly the parameter
space of, e.g., neutralino DM. The gamma-ray contributions reported here are
therefore of great interest for the already launched Fermi/GLAST satellite and
the upcoming new generation of Air Cherenkov Telescope systems like CTA --
which are most sensitive at the high energies where these effects are
particularly important. Finally, radiative corrections may even significantly
alter the positron spectrum from DM annihilations; an intriguing positron
excess recently found by the PAMELA satellite might turn out to be an
indication of the peculiar spectral signature expected in that case.


title: Burnside-Brauer Theorem and Character Products in Table Algebras

abstract:
  In this paper, we first show that the irreducible characters of a quotient
table algebra modulo a normal closed subset can be viewed as the irreducible
characters of the table algebra itself. Furthermore, we define the character
products for table algebras and give a condition in which the products of two
characters are characters. Thereafter, as a main result we state and prove the
Burnside-Brauer Theorem on finite groups for table algebras.


title: Economics need a scientific revolution

abstract:
  I argue that the current financial crisis highlights the crucial need of a
change of mindset in economics and financial engineering, that should move away
from dogmatic axioms and focus more on data, orders of magnitudes, and
plausible, albeit non rigorous, arguments.


title: Metastable SUSY Breaking - Predicting the Fate of the Universe

abstract:
  The possibility that supersymmetry (SUSY) could be broken in a metastable
vacuum has recently attracted renewed interest. In these proceedings we will
argue that metastability is an attractive and testable scenario. The recent
developments were triggered by the presentation of a simple and calculable
model of metastable SUSY breaking by Intriligator, Seiberg and Shih (ISS),
which we will briefly review. One of the main questions raised by metastability
is, why did the universe end up in this vacuum. Using the ISS model as an
example we will argue that in a large class of models the universe is
automatically driven into the metastable state during the early hot phase and
gets trapped there. This makes metastability a natural option from the
cosmological point of view. However, it may be more than that. The
phenomenologically required gaugino masses require the breaking of R-symmetry.
However, in scenarios with a low supersymmetry breaking scale, e.g., gauge
mediation a powerful theorem due to Nelson and Seiberg places this at odds with
supersymmetry breaking in a truely stable state and metstability becomes
(nearly) inevitable. Turning around one can now experimentally test whether
gauge mediation is realised in nature thereby automatically testing the
possibility of a metastability of the vacuum. Indeed, already the LHC may give
us crucial information about the stability of the vacuum.


title:
Typical Performance of Irregular Low-Density Generator-Matrix Codes for
  Lossy Compression

abstract:
  We evaluate typical performance of irregular low-density generator-matrix
(LDGM) codes, which is defined by sparse matrices with arbitrary irregular bit
degree distribution and arbitrary check degree distribution, for lossy
compression. We apply the replica method under one-step replica symmetry
breaking (1RSB) ansatz to this problem.


title: Heat wave propagation in a nonlinear chain

abstract:
  We investigate the propagation of temperature perturbations in an array of
coupled nonlinear oscillators at finite temperature. We evaluate the response
function at equilibrium and show how the memory effects affect the diffusion
properties. A comparison with nonequilibrium simulations reveals that the
telegraph equation provides a reliable interpretative paradigm for describing
quantitatively the propagation of a heat pulse at the macroscopic level. The
results could be of help in understanding and modeling energy transport in
individual nanotubes.


title: Hermitian modular forms congruent to 1 modulo p

abstract:
  For any natural number $\ell $ and any prime $p\equiv 1 \pmod{4}$ not
dividing $\ell $ there is a Hermitian modular form of arbitrary genus $n$ over
$L:=\Q [\sqrt{-\ell}]$ that is congruent to 1 modulo $p$ which is a Hermitian
theta series of an $O_L$-lattice of rank $p-1$ admitting a fixed point free
automorphism of order $p$. It is shown that also for non-free lattices such
theta series are modular forms.


title: Super-Orbital Variability in Hard X-rays

abstract:
  We present the results of a study with the \emph{Swift} Burst Alert Telescope
in the 14 -- 195 keV range of the long-term variability of 5 low mass X-ray
binaries with reported or suspected super-orbital periods -- 4U 1636-536, 4U
1820-303, 4U 1916-053, Cyg X-2 and Sco X-1. No significant persistent periodic
modulation was detected around the previously reported periods in the 4U
1916-053, Cyg X-2 or Sco X-1 light curves. The $\sim$170 d period of 4U
1820-303 was detected up to 24 keV, consistent with variable accretion due to
the previously proposed triple system model. The $\sim$46 d period in 4U
1636-536 was detected up to 100 keV, with the modulation in the low and high
energy bands found to be phase shifted by $\sim180^\circ$ with respect to each
other. This phase shift, when taken together with the near-coincident onset of
the $\sim$46 d modulation and the low/hard X-ray state, leads us to speculate
that the modulation could herald transient jet formation.


title:
Block-Structure Method for the Solution of the Matrix System of
  Equations g{ij}g{jk}=delta{i}{k} in the N-dimensional Case

abstract:
  In this paper a new block-structure method is presented for the solution of
the well-known from gravity theory matrix system of equations
g{ij}g{jk}=delta{i}{k} (with respect to the unknown covariant components g{ij}
and by known contravariant ones g{jk}) by transforming this matrix system into
a linear algebraic system of equations in the general N-dimensional case.
Although powerful computer methods exist for the solution of this problem for a
given (fixed) dimension of the matrices g{ij} and especially for numerical
elements of g{ij}, the structure of the obtained linear algebraic system in the
general N-dimensional case and for arbitrary elements of g{ij} (functions) has
not been known.
  The proposed new analytical block-structure method for the case of
symmetrical matrices g{ij} and g{jk} (the standard case in gravity theory) is
based on the construction of a block-structure matrix, whose "elements" are
again matrices. The method allows to obtain the structure of this linear system
in the general N-dimensional case, after multiplication (to the left) with the
transponed matrix.
  Some arguments are given why the proposed method may be applied, after some
refinement and generalization for the case of non-symmetrical matrices g{ij}
and g{jk}, for finding the graviton modes in the Kaluza-Klein expansion in
theories with extra dimensions.


title:
High-Resolution X-ray Spectroscopy of SNR 1987A: Chandra LETG and HETG
  Observations in 2007

abstract:
  We present an extended analysis of the deep Chandra LETG and HETG
observations of the supernova remnant 1987A (SNR 1987A) carried out in 2007.
The global fits to the grating spectra show that the temperature of the X-ray
emitting plasma in the slower shocks in this system has remained stable for the
last three years, while that in the faster shocks has decreased. This
temperature evolution is confirmed by the first light curves of strong X-ray
emission lines and their ratios. On the other hand, bulk gas velocities
inferred from the X-ray line profiles are too low to account for the post-shock
plasma temperatures inferred from spectral fits. This suggests that the X-ray
emission comes from gas that has been shocked twice, first by the blast wave
and again by shocks reflected from the inner ring of SNR 1987A. A new model
that takes these considerations into account gives support to this physical
picture.


title:
Orbital Evolution of a Particle Interacting with a Single Planet in a
  Protoplanetary Disk

abstract:
  We investigate the motion of a particle around a low mass planet embedded in
a non-turbulent gaseous disk. We take into account the effect of the gas
structure that is modified by the gravitational interaction between the planet.
We derive an analytic formula that describes the change of the semi-major axis
of the particle due to the encounter with the planet using local approximation
in distant encounter regime. Our final formula includes the effects of steady,
axisymmetric radial gas flow, the global gas pressure gradient in the disk,
planet gravity, and the structure of the gas flow modified by the planet's
gravity. We compare the analytic results with numerical calculations, and
indicate that our formula well describes the secular evolution of the dust
particles' semi-major axes well, especially for small particles with large drag
coefficient. We discuss the conditions for dust gap opening around a low mass
planet and radial distribution of dust particles. Our formula may provide a
useful tool for calculating radial distribution of particles in a disk around
the planet.


title:
Levy stable noise induced transitions: stochastic resonance, resonant
  activation and dynamic hysteresis

abstract:
  A standard approach to analysis of noise-induced effects in stochastic
dynamics assumes a Gaussian character of the noise term describing interaction
of the analyzed system with its complex surroundings. An additional assumption
about the existence of timescale separation between the dynamics of the
measured observable and the typical timescale of the noise allows external
fluctuations to be modeled as temporally uncorrelated and therefore white.
However, in many natural phenomena the assumptions concerning the
abovementioned properties of "Gaussianity" and "whiteness" of the noise can be
violated. In this context, in contrast to the spatiotemporal coupling
characterizing general forms of non-Markovian or semi-Markovian L\'evy walks,
so called L\'evy flights correspond to the class of Markov processes which
still can be interpreted as white, but distributed according to a more general,
infinitely divisible, stable and non-Gaussian law. L\'evy noise-driven
non-equilibrium systems are known to manifest interesting physical properties
and have been addressed in various scenarios of physical transport exhibiting a
superdiffusive behavior. Here we present a brief overview of our recent
investigations aimed to understand features of stochastic dynamics under the
influence of L\'evy white noise perturbations. We find that the archetypal
phenomena of noise-induced ordering are robust and can be detected also in
systems driven by non-Gaussian, heavy-tailed fluctuations with infinite
variance.


title:
Glassy dynamics in mono-, di-, and tri-propylene glycol: From the alpha-
  to the fast beta-relaxation

abstract:
  We present a thorough characterization of the glassy dynamics of three
propylene glycols (mono-, di- and trimer) by broadband dielectric spectroscopy.
By covering a frequency range of more than 15 decades, we have access to the
entire variety of dynamic processes typical for glassy dynamics. These results
add three more molecular glass formers to the sparse list of materials for
which real broadband spectra, including the region of the fast beta-process,
are available. Some first analyses of the various observed dynamic processes
are provided.


title: Can quantum mechanics help distributed computing?

abstract:
  We present a brief survey of results where quantum information processing is
useful to solve distributed computation tasks. We describe problems that are
impossible to solve using classical resources but that become feasible with the
help of quantum mechanics. We also give examples where the use of quantum
information significantly reduces the need for communication. The main focus of
the survey is on communication complexity but we also address other distributed
tasks.


title: Static Pressure of Hot Gas: Its Effect on the Gas Disks of Galaxies

abstract:
  The static pressure of the hot gas that fills clusters and groups of galaxies
can affect significantly the volume density and thickness of the gas disks in
galaxies. In combination with the dynamic pressure, the static pressure allows
several observed peculiarities of spiral galaxies surrounded by a hot medium to
be explained.


title:
Spectral and temporal variations of the isolated neutron star RX
  J0720.4-3125: new XMM-Newton observations

abstract:
  In the past, the isolated, radio-quiet neutron star RX J0720.4-3125 showed
variations in the spectral parameters (apparent radius, temperature of the
emitting area and equivalent width of the absorption feature) seen in the X-ray
spectra, not only during the spin period of 8.39s, but also over time scales of
years. New X-ray observations of RX J0720.4-3125 with XMM Newton extend the
coverage to about 7.5 years with the latest pointing performed in November
2007. Out of a total of fourteen available EPIC-pn datasets, eleven have been
obtained with an identical instrumental setup (full frame read-out mode with
thin filter), and are best suited for a comparative investigations of the
spectral and timing properties of this enigmatic X-ray pulsar.
  We analysed the new XMM Newton observations together with archival data in
order to follow the spectral and temporal evolution of RX J0720.4-3125
  All XMM-Newton data were reduced with the standard XMM-SAS software package.
A systematic and consistent data reduction of all these observations was
emphasised in order to reduce systematic errors as far as possible.
  We investigate the phase residuals derived from data from different energy
bands using different timing solutions for the spin period evolution and
confirm the phase lag between hard and soft photons. The phase shift in the
X-ray pulses between hard and soft photons varies with time and changes sign
around MJD=52800 days, regardless of the chosen timing solution. The phase
residuals[abridge]


title:
The stellar association around Gamma Velorum and its relationship with
  Vela OB2

abstract:
  We present the results of a photometric BVI survey of 0.9 square degrees
around the Wolf-Rayet binary gamma^2 Vel and its early-type companion gamma^1
Vel. Several hundred PMS stars are identified and the youth of a subset of
these is confirmed by the presence of lithium, H-alpha emission and X-ray
activity. We show that the PMS stars are kinematically coherent and spatially
concentrated around gamma Vel. The PMS stars have similar proper motions to
gamma Vel, to main-sequence stars around gammaVel and to early-type stars of
the wider Vela OB2 association of which gamma^2 Vel is the brightest member.
The ratio of main-sequence stars to low-mass (0.1-0.6 Msun) PMS stars is
consistent with a Kroupa mass function. Main-sequence fitting to stars around
gamma Vel gives a distance modulus of 7.76+/-0.07 mag, consistent with a
similarly-determined distance for Vela OB2 and with interferometric distances
to gamma^2 Vel. High-mass stellar models indicate an age of 3-4 Myr for gamma^2
Vel, but the low-mass PMS stars have ages of ~10 Myr according to low-mass
evolutionary models and 5-10 Myr by empirically placing them in an age sequence
with other clusters based on colour-magnitude diagrams and lithium depletion.
We conclude that the low-mass PMS stars form a genuine association with gamma
Vel and that this is a subcluster within the larger Vela OB2 association. We
speculate that gamma^2 Vel formed after the low-mass stars, expelling gas,
terminating star formation and unbinding the association. The velocity
dispersion of the PMS stars is too low for this star forming event to have
produced all the stars in Vela OB2. Instead, star formation must have started
at several sites within a molecular cloud, either sequentially or,
simultaneously after some triggering event [abridged].


title: Holography and Fermions at a Finite Chemical Potential

abstract:
  We review the Sakai-Sugimoto model of holographic QCD at zero temperature and
finite chemical potential, comparing the results to those expected at
large-$N_c$ QCD, and those in a closely related holographic model. We find that
as the baryon chemical potential is increased above a critical value, there is
a phase transition to a nuclear matter phase, the details of which depend on
the model. We argue that the nuclear matter phase is necessarily inhomogeneous
to arbitrarily high density, which suggests an explanation of the "chiral
density wave" instability of the quark Fermi surface in large-$N_c$ QCD. Some
details of the instanton distribution in the holographic dual are reminiscent
of a Fermi surface. This short manuscript summarizes a talk given by M.R. at
"Theory Canada 4" conference, and is based largely (but not entirely) on the
results of \cite{Rozalietal2008}.


title:
Entanglement Dynamics in Two-Qubit Open System Interacting with a
  Squeezed Thermal Bath via Dissipative interaction

abstract: This paper has been withdrawn as it has been superseded by 0901.0404


title: Predicting the Drug Release Kinetics of Matrix Tablets

abstract:
  In this paper we develop two mathematical models to predict the release
kinetics of a water soluble drug from a polymer/excipient matrix tablet. The
first of our models consists of a random walk on a weighted graph, where the
vertices of the graph represent particles of drug, excipient and polymer,
respectively. The graph itself is the contact graph of a multidisperse random
sphere packing. The second model describes the dissolution and the subsequent
diffusion of the active drug out of a porous matrix using a system of partial
differential equations. The predictions of both models show good qualitative
agreement with experimental release curves. The models will provide tools for
designing better controlled release devices.


title: Spectroscopic analysis of DA white dwarfs from the McCook & Sion catalog

abstract:
  For some years now, we have been gathering optical spectra of DA white dwarfs
in an effort to study and define the empirical ZZ Ceti instability strip.
However, we have recently expanded this survey to include all the DA white
dwarfs in the McCook & Sion catalog down to a limiting visual magnitude of
V=17.5. We present here a spectroscopic analysis of over 1000 DA white dwarfs
from this ongoing survey. We have several specific areas of interest most
notably the hot DAO white dwarfs, the ZZ Ceti instability strip, and the DA+dM
binary systems. Furthermore, we present a comparison of the ensemble properties
of our sample with those of other large surveys of DA white dwarfs, paying
particular attention to the distribution of mass as a function of effective
temperature.