title:
Lateral Size and Thickness Dependence in Ferroelectric Nanostructures
  Formed by Localized Domain Switching

abstract:
  Ferroelectric nanostructures can be formed by local switching of domains
using techniques such as piezo-force microscopy (PFM). Understanding lateral
size effects is important to determine the minimum feature size for writing
ferroelectric nanostructures. To understand these lateral size effects, we use
the time-dependent-Ginzburg-Landau equations to simulate localized switching of
domains for a PFM type and parallel-plate capacitor configurations. Our
investigations indicate that fringing electric fields lead to switching via 90
deg domain wedge nucleation for thicker films while at smaller thicknesses, the
polarization switches directly by 180 deg rotations. The voltage required to
switch the domain increases by decreasing the lateral size and at very small
lateral sizes the coercive voltage becomes so large that it becomes virtually
impossible to switch the domain. In all cases, the width of the switched region
extends beyond the electrodes, due to fringing.


title: Computational Geometric Optimal Control of Rigid Bodies

abstract:
  This paper formulates optimal control problems for rigid bodies in a
geometric manner and it presents computational procedures based on this
geometric formulation for numerically solving these optimal control problems.
The dynamics of each rigid body is viewed as evolving on a configuration
manifold that is a Lie group. Discrete-time dynamics of each rigid body are
developed that evolve on the configuration manifold according to a discrete
version of Hamilton's principle so that the computations preserve geometric
features of the dynamics and guarantee evolution on the configuration manifold;
these discrete-time dynamics are referred to as Lie group variational
integrators. Rigid body optimal control problems are formulated as
discrete-time optimization problems for discrete Lagrangian/Hamiltonian
dynamics, to which standard numerical optimization algorithms can be applied.
This general approach is illustrated by presenting results for several
different optimal control problems for a single rigid body and for multiple
interacting rigid bodies. The computational advantages of the approach, that
arise from correctly modeling the geometry, are discussed.


title:
Groebner-Shirshov Bases for Associative Algebras with Multiple Operators
  and Free Rota-Baxter Algebras

abstract:
  In this paper, we establish the Composition-Diamond lemma for associative
algebras with multiple linear operators. As applications, we obtain
Groebner-Shirshov bases of free Rota-Baxter algebra, $\lambda$-differential
algebra and $\lambda$-differential Rota-Baxter algebra, respectively. In
particular, linear bases of these three free algebras are respectively
obtained, which are essentially the same or similar to those obtained by
Ebrahimi-Fard and Guo, and Guo and Keigher recently by using other methods.


title:
Spatial coherence effects on second- and fourth-order temporal
  interference

abstract:
  We report the results of two experiments performed with two-photon light,
produced via collinear degenerate optical spontaneous parametric downconversion
(SPDC), in which both second-order (one-photon) and fourth-order (two-photon)
interferograms are recorded in a Mach-Zehnder interferometer (MZI). In the
first experiment, high-visibility fringes are obtained for both the second- and
fourth-order interferograms. In the second experiment, the MZI is modified by
the removal of a mirror from one of its arms; this leaves the fourth-order
interferogram unchanged, but extinguishes the second-order interferogram. A
theoretical model that takes into consideration both the temporal and spatial
degrees-of-freedom of the two-photon state successfully explains the results.
While the temporal interference in the MZI is independent of the spatial
coherence of the source, that of the modified MZI is not.


title:
Order to Disorder Transitions in Hybrid Intelligent Systems: a Hatch to
  the Interactions of Nations -Governments

abstract:
  In this study, under general frame of MAny Connected Intelligent Particles
Systems (MACIPS), we reproduce two new simple subsets of such intelligent
complex network, namely hybrid intelligent systems, involved a few prominent
intelligent computing and approximate reasoning methods: self organizing
feature map (SOM), Neuro-Fuzzy Inference System and Rough Set Theory (RST).
Over this, we show how our algorithms can be construed as a linkage of
government-society interaction, where government catches various fashions of
behavior: solid (absolute) or flexible. So, transition of such society, by
changing of connectivity parameters (noise) from order to disorder is inferred.
Add to this, one may find an indirect mapping among financial systems and
eventual market fluctuations with MACIPS.


title: Electroweak Chiral Lagrangian for $W'$ Boson

abstract:
  The complete list of electroweak chiral Lagrangian for W', Z' and a neutral
light higgs with symmetry $SU(2)_1\otimes SU(2)_2\otimes U(1)$ is provided. The
bosonic part is accurate up to order of $p^4$, the matter part involving
various fermions representation arrangements includes dimension three Yukawa
type and dimension four gauge type operators. The universal mixings and masses
of gauge boson and fermion are given. Constraints from mass differences for
$K^0-\bar{K}^0$, $B_d^0-\bar{B}_{d}^0$, $B_s^0-\bar{B}_{s}^0$ systems and
indirect CP violation parameter $|\epsilon_K|$ for $K$ mesons are evaluated.


title: The minimum model for the iron-based superconductors

abstract:
  A single band $t$-$U$-$J_1$-$J_2$ model is proposed as the minimum model to
describe the superconductivity of the newly discovered iron-based
superconductors $R(O_{1-x}F_x)FeAs$ and $RO_{1-x}FeAs$ ($R=La, Ce, Sm, Pr,
Nd,Gd$). With the mean-field approach, it is found that the pairing occurs in
the d-wave channel. In the likely parameter region of the real materials, by
lowering temperature, the system enters firstly the $d_{xy}$ superconducting
phase with $D_{4h}$-symmetry and then enters the time-reversal-symmetry-broken
$d_{xy}+id_{x^2-y^2}$ superconducting phase with $C_{4h}$-symmetry.


title: Geometric phase of a two-level system in a dissipative environment

abstract:
  The geometric (Berry) phase of a two-level system in a dissipative
environment is analyzed by using the second-quantized formulation, which
provides a unified and gauge-invariant treatment of adiabatic and nonadiabatic
phases and is thus applicable to a quantitative analysis of transitional
regions away from ideal adiabaticity. In view of the recent experimental
observation of the Berry phase in a superconducting qubit, we illustrate our
formulation for a concrete adiabatic case in the Ohmic dissipation. The
correction to the total phase together with the geometry-dependent dephasing
time is given in a transparent way. The behavior of the geometric phase away
from ideal adiabaticity is also analyzed in some detail.


title: Einstein solvmanifolds attached to two-step nilradicals

abstract:
  A Riemannian Einstein solvmanifold (possibly, any noncompact homogeneous
Einstein space) is almost completely determined by the nilradical of its Lie
algebra. A nilpotent Lie algebra, which can serve as the nilradical of an
Einstein metric solvable Lie algebra, is called an Einstein nilradical. Despite
a substantial progress towards the understanding of Einstein nilradicals, there
is still a lack of classification results even for some well-studied classes of
nilpotent Lie algebras, such as the two-step ones. In this paper, we give a
classification of two-step nilpotent Einstein nilradicals in one of the rare
cases when the complete set of affine invariants is known: for the two-step
nilpotent Lie algebras with the two-dimensional center. Informally speaking, we
prove that such a Lie algebra is an Einstein nilradical, if it is defined by a
matrix pencil having no nilpotent blocks in the canonical form and no
elementary divisors of a very high multiplicity. We also discuss the connection
between the property of a two-step nilpotent Lie algebra and its dual to be an
Einstein nilradical.


title:
Scaling of Rough Surfaces: Effects of Surface Diffusion on Growth and
  Roughness Exponents

abstract:
  Random deposition model with surface diffusion over several next nearest
neighbours is studied. The results agree with the results obtained by Family
for the case of nearest neighbour diffusion [F. Family, J. Phys. A 19(8), L441,
1986]. However for larger diffusion steps, the growth exponent and the
roughness exponent show interesting dependence on diffusion length.


title: 3D Building Model Fitting Using A New Kinetic Framework

abstract:
  We describe a new approach to fit the polyhedron describing a 3D building
model to the point cloud of a Digital Elevation Model (DEM). We introduce a new
kinetic framework that hides to its user the combinatorial complexity of
determining or maintaining the polyhedron topology, allowing the design of a
simple variational optimization. This new kinetic framework allows the
manipulation of a bounded polyhedron with simple faces by specifying the target
plane equations of each of its faces. It proceeds by evolving continuously from
the polyhedron defined by its initial topology and its initial plane equations
to a polyhedron that is as topologically close as possible to the initial
polyhedron but with the new plane equations. This kinetic framework handles
internally the necessary topological changes that may be required to keep the
faces simple and the polyhedron bounded. For each intermediate configurations
where the polyhedron looses the simplicity of its faces or its boundedness, the
simplest topological modification that is able to reestablish the simplicity
and the boundedness is performed.


title: On the coordinate ring of spherical conjugacy classes

abstract:
  Let G be a simple algebraic group over an algebraically closed field of
characteristic zero and X be a spherical conjugacy class of G. We determine the
decomposition of the coordinate ring of X into simple G-modules.


title: Plat_Forms -- a contest: The web development platform comparison

abstract:
  "Plat_Forms" is a competition in which top-class teams of three programmers
compete to implement the same requirements for a web-based system within 30
hours, each team using a different technology platform (Java EE, .NET, PHP,
Perl, Python, or Ruby on Rails). The results will provide new insights into the
real (rather than purported) pros, cons, and emergent properties of each
platform. The evaluation will analyze many aspects of each solution, both
external (usability, functionality, reliability, performance, etc.) and
internal (structure, understandability, flexibility, etc.).


title:
Inverse bremsstrahlung cross section estimated within evolving plasmas
  using effective ion potentials

abstract:
  In this paper we estimate the total cross sections for field stimulated
photoemissions and photoabsorptions by quasi-free electrons within a
non-equilibrium plasma evolving from the strong coupling to the weak coupling
regime. Such transition may occur within laser-created plasmas, when the
initially created plasma is cold but the heating of the plasma by the laser
field is efficient. In particular, such a transition may occur within plasmas
created by intense VUV radiation from a FEL as indicated by the results of the
first experiments performed at the FLASH facility at DESY.
  In order to estimate the inverse bremsstrahlung cross sections, we use
point-like and effective atomic potentials. For ions modelled as point-like
charges, the total cross sections are strongly affected by the changing plasma
environment. The maximal change of the cross sections may be of the order of 60
at the change of the plasma parameters (inverse Debye length, kappa, and the
electron density, rho_e), in the range: kappa=0-3 A^{-1} and \rho_e=0.01-1
A^{-1}. These ranges correspond to the physical conditions within the plasmas
created during the first cluster experiments performed at the FLASH facility at
DESY. In contrast, for the effective atomic potentials the total cross sections
for photoemission and photoabsorption change only by a factor of 7 at most at
the same plasma parameter range.
  Our results show that the inverse bremsstrahlung cross section estimated with
the effective atomic potentials is not much affected by the plasma environment.
This observation validates the previous estimations of the enhanced heating
effect. This is important as this effect may be responsible for high energy
absorption within clusters irradiated with VUV radiation.


title:
Theory of Thermodynamic Stresses in Colloidal Dispersions at the Glass
  Transition

abstract:
  We discuss the nonlinear rheology of dense colloidal dispersions at the glass
transition. A first principles approach starting with interacting Brownian
particles in given arbitrary homogeneous (incompressible) flow neglecting
hydrodynamic interactions is sketched. It e.g. explains steady state flow
curves for finite shear rates measured in dense suspensions of thermosensitive
core-shell particles consisting of a polystyrene core and a crosslinked
poly(N-isopropylacrylamide)(PNIPAM) shell. The exponents of simple and
generalized Herschel Bulkley laws are computed for hard spheres.


title:
The two loop supersymmetric corrections to lepton anomalous dipole
  moments in split supersymmetry scenarios

abstract:
  An analysis of electroweak corrections to the anomalous dipole moments of
lepton from some special two-loop diagrams where a closed neutralino/chargino
loop is inserted into relevant one-loop diagrams of the standard model is
presented in the split supersymmetry scenarios. Considering the translational
invariance of the inner loop momenta and the electromagnetic gauge invariance,
we get all dimension 6 operators and their coefficients. After applying
equations of motion to the external leptons, we obtain the anomalous dipole
moments of lepton. The numerical results imply that there is parameter space
where the contribution to the muon anomalous magnetic dipole moment from this
sector is perhaps significant, and the contribution to the electron electric
dipole moment from this sector is sizable enough to be observed in next
generation experiments.


title:
Nonuniform viscosity in the solar nebula and large masses of Jupiter and
  Saturn

abstract:
  I report a novel theory that nonuniform viscous frictional force in the solar
nebula accounts for the largest mass of Jupiter and Saturn and their largest
amount of H and He among the planets, two outstanding facts that are unsolved
puzzles in our understanding of origin of the Solar System. It is shown that
the nebula model of uniform viscosity does not match the present planet masses.
By studying current known viscosity mechanisms, I show that viscosity is more
efficient in the inner region inside Mercury and the outer region outside
Jupiter-Saturn than the intermediate region. The more efficient viscosity
drives faster radial inflow of material during the nebula evolution. Because
the inflow in the outer region is faster than the intermediate region, the
material tends to accumulate in Jupiter-Saturn region which is between the
outer and intermediate region. It is demonstrated that the gas trapping time of
Jovian planets is longer than the inflow time in the outer region. Therefore
the gas already flows to Jupiter-Saturn region before Uranus and Neptune can
capture significant gas. But the inflow in the Jupiter-Saturn region is so slow
that they can capture large amount of gas before the gas can flow further
inward. Hence they have larger masses with larger H and He content than Uranus
and Neptune. I also extend the discussion to the masses of the terrestrial
planets, especially low mass of Mercury. The advantages of this theory are
discussed.


title: Photon-Mediated Interaction between Two Distant Atoms

abstract:
  We study the photonic interactions between two distant atoms which are
coupled by an optical element (a lens or an optical fiber) focussing part of
their emitted radiation onto each other. Two regimes are distinguished
depending on the ratio between the radiative lifetime of the atomic excited
state and the propagation time of a photon between the two atoms. In the two
regimes, well below saturation the dynamics exhibit either typical features of
a bad resonator, where the atoms act as the mirrors, or typical characteristics
of dipole-dipole interaction. We study the coherence properties of the emitted
light and show that it carries signatures of the multiple scattering processes
between the atoms. The model predictions are compared with the experimental
results in J. Eschner {\it et al.}, Nature {\bf 413}, 495 (2001).


title:
Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n),
  SP(n) Groups

abstract:
  We considered two types of string models: on the Riemmann space of string
coordinates with null torsion and on the Riemman-Cartan space of string
coordinates with constant torsion. We used the hydrodynamic approach of
Dubrovin, Novikov to integrable systems and Dubrovin solutions of WDVV
associativity equation to construct new integrable string equations of
hydrodynamic type on the torsionless Riemmann space of chiral currents in first
case. We used the invariant local chiral currents of principal chiral models
for SU(n), SO(n), SP(n) groups to construct new integrable string equations of
hydrodynamic type on the Riemmann space of the chiral primitive invariant
currents and on the chiral non-primitive Casimir operators as Hamiltonians in
second case. We also used Pohlmeyer tensor nonlocal currents to construct new
nonlocal string equation.


title: Adiabatic orientation of rotating dipole molecules in an external field

abstract:
  The induced polarization of a beam of polar clusters or molecules passing
through an electric or magnetic field region differs from the textbook
Langevin-Debye susceptibility. This distinction, which is important for the
interpretation of deflection and focusing experiments, arises because instead
of acquiring thermal equilibrium in the field region, the beam ensemble
typically enters the field adiabatically, i.e., with a previously fixed
distribution of rotational states. We discuss the orientation of rigid
symmetric-top systems with a body-fixed electric or magnetic dipole moment. The
analytical expression for their "adiabatic-entry" orientation is elucidated and
compared with exact numerical results for a range of parameters. The
differences between the polarization of thermodynamic and "adiabatic-entry"
ensembles, of prolate and oblate tops, and of symmetric-top and linear rotators
are illustrated and identified.


title: On the Holonomy of Kaluza-Klein metrics

abstract:
  We investigate Kaluza-Klein metrics with a recurrent light-like vector field
over a pseudo-Riemannian manifold.


title:
Efficient $\mathcal{O}(N^2)$ approach to solve the Bethe-Salpeter
  equation for excitonic bound states

abstract:
  Excitonic effects in optical spectra and electron-hole pair excitations are
described by solutions of the Bethe-Salpeter equation (BSE) that accounts for
the Coulomb interaction of excited electron-hole pairs. Although for the
computation of excitonic optical spectra in an extended frequency range
efficient methods are available, the determination and analysis of individual
exciton states still requires the diagonalization of the electron-hole
Hamiltonian $\hat{H}$. We present a numerically efficient approach for the
calculation of exciton states with quadratically scaling complexity, which
significantly diminishes the computational costs compared to the commonly used
cubically scaling direct-diagonalization schemes. The accuracy and performance
of this approach is demonstrated by solving the BSE numerically for the
Wannier-Mott two-band model in {\bf k} space and the semiconductors MgO and
InN. For the convergence with respect to the $\vk$-point sampling a general
trend is identified, which can be used to extrapolate converged results for the
binding energies of the lowest bound states.


title:
Exact results on decoherence and entanglement in a system of N driven
  atoms and a dissipative cavity mode

abstract:
  We solve the dynamics of an open quantum system where N strongly driven
two-level atoms are equally coupled on resonance to a dissipative cavity mode.
Analytical results are derived on decoherence, entanglement, purity, atomic
correlations and cavity field mean photon number. We predict decoherence-free
subspaces for the whole system and the N-qubit subsystem, the monitoring of
quantum coherence and purity decay by atomic populations measurements, the
conditional generation of atomic multi-partite entangled states and of cavity
cat-like states. We show that the dynamics of atoms prepared in states
invariant under permutation of any two components remains restricted within the
subspace spanned by the completely symmetric Dicke states. We discuss examples
and applications in the cases N=3,4.


title:
De Haas-van Alphen oscillations in the charge-density wave compound
  lanthanum tritelluride (LaTe_3)

abstract:
  De Haas-van Alphen oscillations were measured in lanthanum tritelluride
(LaTe_3) to probe the partially gapped Fermi surface resulting from charge
density wave (CDW) formation. Three distinct frequencies were observed, one of
which can be correlated with a FS sheet that is unaltered by CDW formation. The
other two frequencies arise from FS sheets that have been reconstructed in the
CDW state.


title:
Formation of blue compact dwarf galaxies from merging and interacting
  gas-rich dwarfs

abstract:
  We present the results of numerical simulations which show the formation of
blue compact dwarf (BCD) galaxies from merging between very gas-rich dwarfs
with extended HI gas disks. We show that dwarf-dwarf merging can trigger
central starbursts and form massive compact cores dominated by young stellar
populations. We also show that the pre-existing old stellar components in
merger precursor dwarfs can become diffuse low surface brightness components
after merging. The compact cores dominated by younger stellar populations and
embedded in more diffusely distributed older ones can be morphologically
classified as BCDs. Since new stars can be formed from gas transferred from the
outer part of the extended gas disks of merger precursors, new stars can be
very metal-poor ([Fe/H] < -1). Owing to very high gaseous pressure exceeding
10^5 k_B (where k_B is the Boltzmann constant) during merging, compact star
clusters can be formed in forming BCDs. The BCDs formed from merging can still
have extended HI gas disks surrounding their blue compact cores. We discuss
whether tidal interaction of gas-rich dwarfs without merging can also form
BCDs.


title: Shocks in asymmetric simple exclusion processes of interacting particles

abstract:
  In this paper, we study shocks and related transitions in asymmetric simple
exclusion processes of particles with nearest neighbor interactions. We
consider two kinds of inter-particle interactions. In one case, the
particle-hole symmetry is broken due to the interaction. In the other case,
particles have an effective repulsion due to which the particle-current-density
drops down near the half filling. These interacting particles move on a one
dimensional lattice which is open at both the ends with injection of particles
at one end and withdrawal of particles at the other. In addition to this, there
are possibilities of attachments or detachments of particles to or from the
lattice with certain rates. The hydrodynamic equation that involves the exact
particle current-density of the particle conserving system and additional terms
taking care of the attachment-detachment kinetics is studied using the
techniques of boundary layer analysis.


title:
Assessing the feasibility and consequences of nuclear georeactors in the
  Earths core mantle boundary

abstract:
  We assess the likelihood and geochemical consequences of the presence of
nuclear georeactors in the core mantle boundary region (CMB) between Earths
silicate mantle and metallic core. Current geochemical models for the Earths
interior predict that U and Th in the CMB are concentrated exclusively in the
mineral calcium silicate perovskite (CaPv), leading to predicted concentration
levels of approximately 12 ppm combined U and Th, 4.5 Ga ago if CaPv is
distributed evenly throughout the CMB. Assuming a similar behaviour for
primordial 244Pu provides a considerable flux of neutrons from spontaneous
fission. We show that an additional concentration factor of only an order of
magnitude is required to both ignite and maintain self sustaining georeactors
based on fast fission. Continuously operating georeactors with a power of 5 TW
can explain the observed isotopic compositions of helium and xenon in the
Earths mantle. Our hypothesis requires the presence of elevated concentrations
of U and Th in the CMB, and is amenable to testing by direction sensitive
geoneutrino tomography.


title: Decay of Dirac Massive Hair in the Background of Spherical Black Hole

abstract:
  The intermediate and late-time behaviour of massive Dirac hair in the static
spherically symmetric black hole spacetime was studied. It was revealed that
the intermediate asymptotic pattern of decay of massive Dirac spinor hair is
dependent on the mass of the field under consideration as well as the multiple
number of the wave mode. The long-lived oscillatory tail observed at timelike
infinity in the considered background decays slowly as t^{-5/6}.


title: Classical and Quantum Radiation Reaction

abstract:
  This thesis reports on work undertaken in comparing the effects of the
phenomenon of radiation reaction in classical and quantum theories of
electrodynamics. Specifically, it is concerned with the prediction of the
change in position of a particle due to the inclusion of the self-force in the
theory. We calculate this position shift for the classical theory, treating
radiation reaction as a perturbation in line with the reduction of order
procedure. We calculate the contributions to the position shift in the
$\hbar\to 0$ limit of quantum field theory to order $e^2$ in the coupling, the
order of the classical self-force. These calculations contain the emission and
forward scattering one loop processes of quantum electrodynamics. The quantum
calculations are completed for the case of a particle represented by a scalar
field wave packet and then for a particle represented by the Dirac spinor
field. We additionally give an alternative derivation of the scalar results
using the interpretation of radiation reaction via a Green's function
decomposition, in order to explain and contrast the results achieved.


title:
Tensor products of type III factor representations of Cuntz-Krieger
  algebras

abstract:
  We introduced a non-symmetric tensor product of any two states or any two
representations of Cuntz-Krieger algebras associated with a certain
non-cocommutative comultiplication in previous our work. In this paper, we show
that a certain set of KMS states is closed with respect to the tensor product.
From this, we obtain formulae of tensor product of type {\rm III} factor
representations of Cuntz-Krieger algebras which is different from results of
the tensor product of factors of type {\rm III}.


title: X-ray spectra and electronic structure of FeAs superconductors

abstract:
  The densities of the valence and conduction band electronic states of the
newly discovered layered superconductors LaOFeAs, LaO$_{0.87}$F$_{0.13}$FeAs
(Tc=26 K), SmO$_{0.95}$F$_{0.05}$FeAs and SmO$_{0.85}$F$_{0.15}$FeAs (Tc=43 K)
are studied using soft X-ray absorption and emission spectroscopy combined with
FP LAPW calculations of LaOFeAs, LaO$_{0.875}$FeAs and
LaO$_{0.875}$F${0.125}$FeAs. The Fe 3d-states are localized in energy near the
top of the valence band and are partially hybridized with p-type O (2p), As
(4p), and La (6p) states approximately 3 eV below the Fermi energy. The Fe L3
X-ray emission spectra do not show any features that would indicate the
presence of the low Hubbard 3d-band or the quasiparticle peak that were
predicted by the DMFT analysis of LaOFeAs. We can conclude that the
LaOFeAs-type compounds do not represent strongly correlated systems. When
either oxygen vacancies or fluorine dopants are included in numerical
electronic structure calculations the width of O 2p-band decreases, but the
distribution of Fe 3d-states is largely unaffected.


title:
Three-coloring statistical model with domain wall boundary conditions.
  I. Functional equations

abstract:
  In 1970 Baxter considered the statistical three-coloring lattice model for
the case of toroidal boundary conditions. He used the Bethe ansatz and found
the partition function of the model in the thermodynamic limit. We consider the
same model but use other boundary conditions for which one can prove that the
partition function satisfies some functional equations similar to the
functional equations satisfied by the partition function of the six-vertex
model for a special value of the crossing parameter.


title:
Multidimensional Hahn polynomials, intertwining functions on the
  symmetric group and Clebsch-Gordan coefficients

abstract:
  We generalize a construction of Dunkl, obtaining a wide class intertwining
functions on the symmetric group and a related family of multidimensional Hahn
polynomials. Following a suggestion of Vilenkin and Klymik, we develop a
tree-method approach for those intertwining functions. We also give a group
theoretic proof of the relation between Hahn polynomials and Clebesh-Gordan
coefficients, given analytically by Koornwinder and by Nikiforov,
Smorodinski\u{i} and Suslov. Such relation is also extended to the
multidimensional case.


title: Synthesis of superheavy elements beyond Z=118

abstract:
  We investigate the cold fission/fusion paths of superheavy nuclei within the
two center shell model, in order to find the best projectile-target
combinations of their production. The fission/fusion yields are estimated by
using the semiclassical approach. We predict several asymmetric combinations of
relative long living fragments, which can be used in fusion experiments of
superheavy nuclei with Z>118.


title:
A signature of hidden order in URu2Si2 : the excitation at the
  wavevector Q0 = (100)

abstract:
  Simultaneous neutron-scattering and thermal expansion measurements on the
heavy-fermion superconductor URu2Si2 under hydrostatic pressure of 0.67 GPa
have been performed in order to detect the successive paramagnetic, hidden
order, and large moment antiferromagnetic phases on cooling. The temperature
dependence of the sharp low energy excitation at the wavevector Q_0=(100) shows
that this excitation is clearly a signature of the hidden order state. In the
antiferromagnetic phase, this collective mode disappears. The higher energy
excitation at the incommensurate wavevector Q_1=(1.4,0,0) persists in the
antiferromagnetic phase but increases in energy. The collapse of the inelastic
neutron scattering at Q_0 coincides with the previous observation of the
disappearance of superconductivity.


title:
DC Leakage behavior and Conduction Mechanism in (BiFeO3)m(SrTiO3)m
  Superlattices

abstract:
  Leakage current behavior of (BiFeO3)m(SrTiO3)m superlattice structures was
studied and analyzed at different temperatures (303-473K) in the light of
various models. While bulk limited Poole-Frenkel emission was observed to
dominate the leakage current in the temperature range of 303 - 383 K, the space
charge limited conduction was observed up to 473 K. With a Poole-Frenkel
emission type of conduction, the activation energy range of 0.06 - 0.2 eV was
calculated. The physical parameters, calculated from the analysis correlates
with the intrinsic properties. The analysis of leakage current facilitates,
interface engineering of heterostructures for device applications.


title: A Note on Fuzzy Real and Complex Field

abstract:
  Using the concept of fuzzy field, we have considered the fuzzy field of real
and complex numbers and thereafter we have established a few standard results
of real and complex numbers with respect to a membership function.


title: Quasi-magnetism of sterile dark matter with photonic portal

abstract:
  We develop farther a simple model of cold dark matter consisting of sterile
spin-1/2 fermions (sterinos), whose mass is generated by a nonzero vacuum
expectation value of a field of sterile scalars (sterons). In this model, the
sterile world of sterinos and sterons is conjectured to communicate with the
familiar Standard Model world not only through gravity, but also through a
photonic portal provided by a very weak effective interaction of the
electromagnetic field with sterino and steron fields. Then, an extra, finite
renormalization leading from the primary bare electric charge to a new bare
electric charge appears spontaneously. Due to the photonic portal, the cold
dark matter consisting of sterinos displays a phenomenon of quasi-magnetism,
what means that it can interact effectively with cosmic (and laboratory)
magnetic fields.


title:
Octupolar ordering of classical kagome antiferromagnets in two and three
  dimensions

abstract:
  Classical Heisenberg antiferromagnets on two-dimensional kagome and
three-dimensional hyperkagome lattices are investigated by Monte Carlo
simulations. For both models the symmetry-breaking states at low temperatures
are described by non-zero octupole moments or third-rank spin tensor order
parameters. In the case of the two-dimensional kagome antiferromagnet, a sharp
crossover into a coplanar state takes place at T_k ~ 0.004J, which we attribute
to proliferation of fractional vortices. The three-dimensional model exhibits a
first-order transition at T_c ~ 0.002J into a phase with critical spin
correlations, which possesses a long-range order of octupole moments.


title: Hyperfine structure of Li and Be^+

abstract:
  A large-scale relativistic configuration-interaction (CI) calculation is
performed for the magnetic-dipole and the electric-quadrupole hyperfine
structure splitting in ^{7,6}Li and ^9Be^+. Numerical results for the 2^2S,
3^2S, 2^2P_{1/2}, and 2^2P_{3/2} states are reported. The CI calculation based
on the Dirac-Coulomb-Breit Hamiltonian is supplemented with separate treatments
of the QED, nuclear-magnetization distribution, recoil, and negative-continuum
effects.


title: Spin-Hall Effect in A Symmetric Quantum Wells by A Random Rashba Field

abstract:
  Changes dopant ion concentrations in the sides of a symmetric quantum well
are known to create a random Rashba-type spin-orbit coupling. Here we
demonstrate that, as a consequence, a finite size spin-Hall effect is also
present. Our numerical algorithm estimates the result of the Kubo formula for
the spin-Hall conductivity, by using a tight-binding approximation of the
Hamiltonian in the framework of a time-dependent Green's function formalism,
well suited for very large systems.


title:
A non-monotonic constitutive model is not necessary to obtain shear
  banding phenomena in entangled polymer solutions

abstract:
  In 1975 Doi and Edwards predicted that entangled polymer melts and solutions
can have a constitutive instability, signified by a decreasing stress for shear
rates greater than the inverse of the reptation time. Experiments did not
support this, and more sophisticated theories incorporated Marrucci's idea
(1996) of removing constraints by advection; this produced a monotonically
increasing stress and thus stable constitutive behavior. Recent experiments
have suggested that entangled polymer solutions may possess a constitutive
instability after all, and have led some workers to question the validity of
existing constitutive models. In this Letter we use a simple modern
constitutive model for entangled polymers, the non-stretching Rolie-Poly model
with an added solvent viscosity, and show that (1) instability and shear
banding is captured within this simple class of models; (2) shear banding
phenomena is observable for weakly stable fluids in flow geometries that impose
a sufficiently inhomogeneous total shear stress; (3) transient phenomena can
possess inhomogeneities that resemble shear banding, even for weakly stable
fluids. Many of these results are model-independent.


title: Roles of the color antisymmetric ghost propagator in the infrared QCD

abstract:
  The results of Coulomb gauge and Landau gauge lattice QCD simulation do not
agree completely with continuum theory. There are indications that the ghost
propagator in the infrared region is not purely color diagonal as in high
energy region. After presenting lattice simulation of configurations produced
with Kogut-Susskind fermion (MILC collaboration) and those with domain wall
fermion (RBC/UKQCD collaboration), I investigate in triple gluon vertex and the
ghost-gluon-ghost vertex how the square of the color antisymmetric ghost
contributes. Then the effect of the vertex correction to the gluon propagator
and the ghost propagator is investigated.
  Recent Dyson-Schwinger equation analysis suggests the ghost dressing function
$G(0)=$ finite and no infrared enhancement or $\alpha_G=0$. But the ghost
propagator renormalized by the loop containing a product of color antisymmetric
ghost is expected to behave as $< c\bar c>_r =-\frac{G(q^2)}{q^2}$ with
$G(q^2)\propto q^{-2(1+\alpha_G)}$ with $\alpha_G = 0.5$, if the fixed point
scenario is valid. I interpret the $\alpha_G=0$ solution should contain a
vertex correction. The infrared exponent of our lattice Landau gauge gluon
propagator of the RBC/UKQCD is $\kappa=\alpha_G=-0.5$ and that of MILC is about
-0.7.
  The implication for the Kugo-Ojima color confinement criterion, QCD effective
coupling and the Slavnov identity are given.


title: The Euler characteristic as a polynomial in the Chern classes

abstract:
  In this paper we obtain some explicit expressions for the Euler
characteristic of a rank n coherent sheaf F on P^N and of its twists F(t) as
polynomials in the Chern classes c_i(F), also giving algorithms for the
computation. The employed methods use techniques of umbral calculus involving
symmetric functions and Stirling numbers.


title: The decay of singlet scalar dark matter to unparticle and photon

abstract:
  We consider the unparticle physics introduced by Georgi and show that if the
standard model is extended to include a singlet scalar as a dark matter
candidate, there is a channel which leads to its decay to photon and
unparticle. We calculate the decay rate for this new channel and find a lower
bound on unparticle physics scale by demanding the stability of this candidate
of the dark matter.


title: X-Ray Sources in the Star Forming Galaxies NGC 4194 and NGC 7541

abstract:
  We examine the X-ray point source population and 2-10 keV luminosity for two
galaxies with high star formation rates (SFRs), NGC 4194 and NGC 7541. The
X-ray point source luminosity function (XLF) for these two galaxies is
consistent with the XLF found by Grimm et al. (2003) for a sample of
star-forming galaxies. Combining our results with a sample of galaxies with
SFRs above 1 solar mass/year, we find that the number of X-ray point sources
above a luminosity of 2E38 erg/s is N = (1.8 +/- 0.4) SFR/(solar mass/year).
This number is lower than previously inferred by Grimm et al. based on a sample
of galaxies with lower SFRs. We find that the ratio of X-ray luminosity in the
2-10 keV band to SFR is L_X/(10E40 erg/s) = (0.37 +/- 0.08) SFR/(solar
mass/year). This value may serve as a calibration in attempts to use X-ray
luminosity to measure the SFR of galaxies at cosmological distances. The ratio
of mass accreted onto compact objects versus mass used to form stars is near
1E-6. This ratio may be useful in constraining population synthesis models of
X-ray binary formation in actively star forming systems.


title: Capillary adhesion between elastic solids with randomly rough surfaces

abstract:
  I study how the contact area and the work of adhesion, between two elastic
solids with randomly rough surfaces, depend on the relative humidity. The
surfaces are assumed to be hydrophilic, and capillary bridges form at the
interface between the solids. For elastically hard solids with relative smooth
surfaces, the area of real contact and therefore also the sliding friction, are
maximal when there is just enough liquid to fill out the interfacial space
between the solids, which typically occurs for $d_{\rm K} \approx 3 h_{\rm
rms}$, where $d_{\rm K}$ is the height of the capillary bridge and $h_{\rm
rms}$ the root-mean-square roughness of the (combined) surface roughness
profile. For elastically soft solids, the area of real contact is maximal for
very low humidity (i.e., small $d_{\rm K}$), where the capillary bridges are
able to pull the solids into nearly complete contact. In both case, the work of
adhesion is maximal (and equal to $2\gamma {\rm cos}\theta$, where $\gamma$ is
the liquid surface tension and $\theta$ the liquid-solid contact angle) when
$d_{\rm K} >> h_{\rm rms}$, corresponding to high relative humidity.


title: Concept and Definition of Complexity

abstract:
  The term {\em complexity} is used informally both as a quality and as a
quantity. As a quality, complexity has something to do with our ability to
understand a system or object -- we understand simple systems, but not complex
ones. On another level, {\em complexity} is used as a quantity, when we talk
about something being more complicated than another.
  In this chapter, we explore the formalisation of both meanings of complexity,
which happened during the latter half of the twentieth century.


title:
On the Calculation of gl.dim$G^{\mathbb{N}}(A)$ and
  gl.dim$\widetilde{A}$ by Using Gr\"obner Bases

abstract:
  Let $A=K< X_1,...,X_n> /< {\cal G}>$ be a $K$-algebra defined by a finite
Gr\"obner basis ${\cal G}$. It is shown how to use the Ufnarovski graph $\Gamma
({\bf LM}({\cal G}))$ and the graph of $n$-chains $\Gamma_{\rm C}({\bf
LM}({\cal G}))$ to calculate gl.dim$G^{\mathbb{N}}(A)$ and
gl.dim$\widetilde{A}$, where $G^{\mathbb{N}}(A)$, respectively $\widetilde{A}$,
is the associated $\mathbb{N}$-graded algebra of $A$, respectively the Rees
algebra of $A$ with respect to the $\mathbb{N}$-filtration $FA$ of $A$ induced
by a weight $\mathbb{N}$-grading filtration of $K< X_1,...,X_n>$.


title:
Bragg guiding of domain-like nonlinear modes and kink arrays in
  lower-index core structures

abstract:
  We introduce a novel class of stable nonlinear modes trapped in a lower-index
film core sandwiched between two optical lattices, or in the cylindrical core
of a radial lattice, imprinted in defocusing media. Such family of nonlinear
modes transforms into defect lattice solitons when the core width is
sufficiently small or into an array of kinks when the width is large enough. We
find that higher-order modes with multiple zeros inside the guiding core can be
stable in one-dimensional settings.


title:
Thermodynamics of the multi-component dimerizing hard-sphere Yukawa
  mixture in the associative mean spherical approximation

abstract:
  Explicit analytical expressions for Helmholtz free energy, chemical
potential, entropy and pressure of the multi-component dimerizing Yukawa
hard-sphere fluid are presented. These expressions are written in terms of the
Blum's scaling parameter $\Gamma$, which follows from the solution of the
associative mean spherical approximation (AMSA) for the model with factorized
Yukawa coefficients. In this case solution of the AMSA reduces to the solution
of only one nonlinear algebraic equation for $\Gamma$. This feature enables the
theory to be used in the description of the thermodynamical properties of
associating fluids with arbitrary number of components, including the limiting
case of polydisperse fluids.


title:
Pseudogap behavior of phase-separated Sm$_{1-x}$Ca$_x$MnO$_3$ : A
  comparative photoemission study with double exchange

abstract:
  Using valence band photoemission we have demonstrated the presence of a
pseudogap in the near Fermi level electronic spectrum of some of the mixed
phase compositions of Sm$_{1-x}$Ca$_x$MnO$_3$ system. The pseudogap was found
to grow in size over a large region of the phase diagram of this system,
finally leading to a metal-insulator transition. We have made a study comparing
the near Fermi level behaviors of this system to those of a canonical double
exchange system, namely, La$_{1-x}$Sr$_x$MnO$_3$. This study intends to
highlight one of the important differences between the phase separated and
double exchange colossal magnetoresistance systems in the nature of their
energy gaps across the metal-insulator transitions. These differences could be
ascribed to the distortions in the MnO$_6$ octahedra of their structures that
regulate the localization of charge carriers. We have discussed our results
from the point of view of models based on the idea of phase separation.


title: Radiative corrections to DIS

abstract:
  Early deep inelastic scattering (DIS) experiments at SLAC discovered partons,
identified them as quarks and gluons, and restricted the set of the candidate
theories for strong interactions to those exhibiting the asymptotic freedom
property. The next generation DIS experiments at FNAL and CERN confirmed the
predictions of QCD for the size of the scaling violation effects in the nucleon
structure functions. The QCD fits to their data resulted in determining the
momentum distributions of the point-like constituents of nucleons.
Interpretation of data coming from all these experiments and, in the case of
the SLAC experiments, even an elaboration of the running strategies, would not
have been possible without a precise understanding of the electromagnetic
radiative corrections. In this note I recollect the important milestones,
achieved in the period preceding the HERA era, in the high precision
calculations of the radiative corrections to DIS, and in the development of the
methods of their experimental control. I present subsequently the measurement
strategies and discuss the advanced radiative correction tools for the HERA
experimental program, with an emphasis on their role in the first, model
independent, measurement of the partonic densities in the small-$x_{Bj}$
region. These notes are dedicated to Staszek Jadach as a contribution to the
celebration of his 60th-birthday.


title:
Analytical theory for the initial mass function: CO clumps and
  prestellar cores

abstract:
  We derive an analytical theory of the prestellar core initial mass function
based on an extension of the Press-Schechter statistical formalism. With the
same formalism, we also obtain the mass spectrum for the non self-gravitating
clumps produced in supersonic flows. The mass spectrum of the self-gravitating
cores reproduces very well the observed initial mass function and identifies
the different mechanisms responsible for its behaviour. The theory predicts
that the shape of the IMF results from two competing contributions, namely a
power-law at large scales and an exponential cut-off (lognormal form) centered
around the characteristic mass for gravitational collapse. The cut-off exists
already in the case of pure thermal collapse, provided that the underlying
density field has a lognormal distribution. Whereas pure thermal collapse
produces a power-law tail steeper than the Salpeter value, dN/dlog M\propto
M^{-x}, with x=1.35, this latter is recovered exactly for the (3D) value of the
spectral index of the velocity power spectrum, n\simeq 3.8, found in
observations and in numerical simulations of isothermal supersonic turbulence.
Indeed, the theory predicts that x=(n+1)/(2n-4) for self-gravitating structures
and x=2-n'/3 for non self-gravitating structures, where n' is the power
spectrum index of log(rho). We show that, whereas supersonic turbulence
promotes the formation of both massive stars and brown dwarfs, it has an
overall negative impact on star formation, decreasing the star formation
efficiency. This theory provides a novel theoretical foundation to understand
the origin of the IMF and to infer its behaviour in different environments. It
also provides a complementary approach and useful guidance to numerical
simulations exploring star formation, while making testable predictions.


title: Digital pulse-shape discrimination of fast neutrons and gamma rays

abstract:
  Discrimination of the detection of fast neutrons and gamma rays in a liquid
scintillator detector has been investigated using digital pulse-processing
techniques. An experimental setup with a 252Cf source, a BC-501 liquid
scintillator detector, and a BaF2 detector was used to collect waveforms with a
100 Ms/s, 14 bit sampling ADC. Three identical ADC's were combined to increase
the sampling frequency to 300 Ms/s. Four different digital pulse-shape analysis
algorithms were developed and compared to each other and to data obtained with
an analogue neutron-gamma discrimination unit. Two of the digital algorithms
were based on the charge comparison method, while the analogue unit and the
other two digital algorithms were based on the zero-crossover method. Two
different figure-of-merit parameters, which quantify the neutron-gamma
discrimination properties, were evaluated for all four digital algorithms and
for the analogue data set. All of the digital algorithms gave similar or better
figure-of-merit values than what was obtained with the analogue setup. A
detailed study of the discrimination properties as a function of sampling
frequency and bit resolution of the ADC was performed. It was shown that a
sampling ADC with a bit resolution of 12 bits and a sampling frequency of 100
Ms/s is adequate for achieving an optimal neutron-gamma discrimination for
pulses having a dynamic range for deposited neutron energies of 0.3-12 MeV. An
investigation of the influence of the sampling frequency on the time resolution
was made. A FWHM of 1.7 ns was obtained at 100 Ms/s.


title:
Fractional, Maximal and Singular Operators in Variable Exponent Lorentz
  Spaces

abstract:
  We introduce the Lorentz space $\mathcal{L}^{p(\cdot), q(\cdot)}$ with
variable exponents $p(t),q(t)$ and prove the boundedness of singular integral
and fractional type operators, and corresponding ergodic operators in these
spaces. The main goal of the paper is to show that the boundedness of these
operators in the spaces $\mathcal{L}^{p(\cdot), q(\cdot)}$ is possible without
the local log-condition on the exponents, typical for the variable exponent
Lebesgue spaces; instead the exponents $p(s)$ and $q(s)$ should only satisfy
decay conditions of log-type as $s\to 0$ and $s\to\infty$. To prove this, we
base ourselves on the recent progress in the problem of the validity of Hardy
inequalities in variable exponent Lebesgue spaces.


title:
Direct WIMP identification: Physics performance of a segmented
  noble-liquid target immersed in a Gd-doped water veto

abstract:
  We evaluate background rejection capabilities and physics performance of a
detector composed of two diverse elements: a sensitive target (filled with one
or two species of liquefied noble gasses) and an active veto (made of Gd-doped
ultra-pure water). A GEANT4 simulation shows that for a direct WIMP search,
this device can reduce the neutron background to O(1) event per year per tonne
of material. Our calculation shows that an exposure of one tonne $\times$ year
will suffice to exclude spin-independent WIMP-nucleon cross sections ranging
from $10^{-9}$ pb to $10^{-10}$ pb.


title: The genetic code Via Godel encoding

abstract:
  The genetic code structure into distinct multiplet-classes as well as the
numeric degeneracies of the latter are revealed by a two-step process. First,
an empirical inventory of the degeneracies (of the shuffled multiplets) in two
specific equal moieties of the experimental genetic code table is made and
transcribed in the form of a sequence of integers. Second, a Godel Encoding
procedure is applied to the latter sequence delivering, as an output, a Godel
Number the digits of which, from the decimal representation, could remarkably
describe the amino acids and the stops and allow us also to compute the exact
degeneracies, class by class. The standard and the vertebrate mitochondrial
genetic codes are considered and their multiplet structure is fully
established.


title: Observation of the DNA ion-phosphate vibrations

abstract:
  The low-frequency Raman spectra of Na-and Cs-DNA water solutions have been
studied to determine the mode of counterion vibrations with respect to
phosphate groups of the DNA double helix. The obtained spectra are
characterized by the water band near 180 cm-1 and by several DNA bands near 100
cm-1. The main difference between Na- and Cs-DNA spectra is observed in case of
the band 100 cm-1. In Cs-DNA spectra this band has about twice higher intensity
than in Na-DNA spectra. The comparison of obtained spectra with the calculated
frequencies of Na- and Cs-DNA conformational vibrations [Perepelytsya S.M.,
Volkov S.N. Eur. Phys. J. E. 24, 261 (2007)] show that the band 100 cm-1 in the
spectra of Cs-DNA is formed by the modes of both H-bond stretching vibrations
and vibrations of caesium counterions, while in Na-DNA spectra the band 100
cm-1 is formed by the mode of H-bond stretching vibrations only. The modes of
sodium counterion vibrations have a frequency 180 cm-1, and they do not rise
above the water band. Thus, the increase in intensity of the band 100 cm-1 in
the spectra of Cs-DNA as compared with Na-DNA is caused by the mode of
ion-phosphate vibrations.


title: Stochastic Optimization Approaches for Solving Sudoku

abstract:
  In this paper the Sudoku problem is solved using stochastic search techniques
and these are: Cultural Genetic Algorithm (CGA), Repulsive Particle Swarm
Optimization (RPSO), Quantum Simulated Annealing (QSA) and the Hybrid method
that combines Genetic Algorithm with Simulated Annealing (HGASA). The results
obtained show that the CGA, QSA and HGASA are able to solve the Sudoku puzzle
with CGA finding a solution in 28 seconds, while QSA finding a solution in 65
seconds and HGASA in 1.447 seconds. This is mainly because HGASA combines the
parallel searching of GA with the flexibility of SA. The RPSO was found to be
unable to solve the puzzle.


title: B-Physics: Theoretical Predictions in the LHC Era

abstract:
  We discuss the status of the theoretical predictions of some interesting
b-physics observables that are sensitive to New Physics and can be measured at
the LHC.


title: Theory of the leak-rate of seals

abstract:
  Seals are extremely useful devices to prevent fluid leakage. However, the
exact mechanism of roughness induced leakage is not well understood. We present
a theory of the leak-rate of seals, which is based on percolation theory and a
recently developed contact mechanics theory. We study both static and dynamics
seals. We present molecular dynamics results which show that when two elastic
solids with randomly rough surfaces are squeezed together, as a function of
increasing magnification or decreasing squeezing pressure, a non-contact
channel will percolate when the (relative) projected contact area, A/A_0, is of
order 0.4, in accor dance with percolation theory. We suggest a simple
experiment which can be used to test the theory.


title: Spin-resolved spectra of Shiba multiplets from Mn impurities in MgB_2

abstract:
  We study the effect of magnetic Mn ions on the two-band superconductor MgB_2,
and compute both the total and spin resolved scanning tunneling spectrum in the
vicinity of the magnetic impurity. We show that when the internal structure of
the Mn ion's d-shell is taken into account, multiple Shiba states appear in the
spectrum. The presence of these multiplets could alter significantly the
overall interpretation of local tunneling spectra for a wide range of
superconducting hosts and magnetic impurities.


title:
Long-term monitoring of theta1 OriC: the spectroscopic orbit and an
  improved rotational period

abstract:
  The young O-type star theta1 OriC, the brightest star of the Trapezium
cluster in Orion, is one of only two known magnetic rotators among the O stars.
However, not all spectroscopic variations of this star can be explained by the
magnetic rotator model. We present results from a long-term monitoring to study
these unexplained variations and to improve the stellar rotational period. We
want to study long-term trends of the radial velocity of theta1 OriC, to search
for unusual changes, to improve the established rotational period and to check
for possible period changes. We combine a large set of published spectroscopic
data with new observations and analyze the spectra in a homogeneous way. We
study the radial velocity from selected photo-spheric lines and determine the
equivalent width of the Halpha and HeII4686 lines. We find evidence for a
secular change of the radial velocity of theta1 OriC that is consistent with
the published interferometric orbit. We refine the rotational period of theta1
OriC and discuss the possibility of detecting period changes in the near
future.


title: Neutron Stars and Fractal Dimensionality

abstract:
  We argue that the material inside Neutron stars behaves anomalously with
fractal statistics and that in principle, we could induce mini Neutron stars,
with the release of energy.


abstract:
  Higher order cohomology of arithmetic groups is expressed in terms of
(g,K)-cohomology. Generalizing results of Borel, it is shown that the latter
can be computed using functions of (uniform) moderate growth. A higher order
versions of Borel's conjecture is stated, asserting that the cohomology can be
computed using automorphic forms.


title: Asymptotic heat kernel expansion in the semi-classical limit

abstract:
  Let $H_h = h^2 L +V$ where $L$ is a self-adjoint Laplace type operator acting
on sections of a vector bundle over a compact Riemannian manifold and $V$ is a
symmetric endomorphism field. We derive an asymptotic expansion for the heat
kernel of $H_h$ as $h \to 0$. As a consequence we get an asymptotic expansion
for the quantum partition function and we see that it is asymptotic to the
classical partition function. Moreover, we show how to bound the quantum
partition function for positive $h$ by the classical partition function.


title:
The Contribution of AGN and Star-Forming Galaxies to the Mid-Infrared as
  Revealed by their Spectral Energy Distributions

abstract:
  We present the broad-band Spectral Energy Distributions (SEDs) of the largest
available highly (72%) complete spectroscopic sample of mid-infrared (MIR)
selected galaxies and AGN at intermediate redshift. The sample contains 203
extragalactic sources from the 15-micron survey in the ELAIS-SWIRE field S1,
all with measured spectroscopic redshift. Most of these sources have full
multi-wavelength coverage from the far-UV to the far-infrared and lie in the
redshift range 0.1<z<1.3. Due to its size, this sample allows us for the first
time to characterise the spectral properties of the sources responsible for the
strong evolution observed in the MIR. Based on SED-fitting technique we have
classified the MIR sources, identifying AGN signatures in about 50% of them.
This fraction is significantly higher than that derived from optical
spectroscopy (~29%) and is due in particular to the identification of AGN
activity in objects spectroscopically classified as galaxies. It is likely that
in most of our objects, the AGN is either obscured or of low-luminosity, and
thus it does not dominate the energetic output at any wavelength, except in the
MIR, showing up just in the range where the host galaxy SED has a minimum. The
fraction of AGN strongly depends on the flux density, with that derived through
the SED-fitting being about 20% at S(15)~0.5-1 mJy and gradually increasing up
to 100% at S(15)>10 mJy, while that obtained from optical spectroscopy never
being >30%, even at the higher flux densities. The results of this work will be
very useful for updating all the models aimed at interpreting the deep infrared
survey data and, in particular, for constraining the nature and the role of
dust-obscured systems in the intermediate/high-redshift Universe.


title: Principal eigenvalue for random walk among random traps on Z^d

abstract:
  Let $(\tau_x)_{x \in \Z^d}$ be i.i.d. random variables with heavy
(polynomial) tails. Given $a \in [0,1]$, we consider the Markov process defined
by the jump rates $\omega_{x \to y} = {\tau_x}^{-(1-a)} {\tau_y}^a$ between two
neighbours $x$ and $y$ in $\Z^d$. We give the asymptotic behaviour of the
principal eigenvalue of the generator of this process, with Dirichlet boundary
condition. The prominent feature is a phase transition that occurs at some
threshold depending on the dimension.


title: Light-front Ward-Takahashi Identity for Two-Fermion Systems

abstract:
  We propose a three-dimensional electromagnetic current operator within
light-front dynamics that satisfies a light-front Ward-Takahashi identity for
two-fermion systems. The light-front current operator is obtained by a
quasi-potential reduction of the four-dimensional current operator and acts on
the light-front valence component of bound or scattering states. A relation
between the light-front valence wave function and the four-dimensional
Bethe-Salpeter amplitude both for bound or scattering states is also derived,
such that the matrix elements of the four-dimensional current operator can be
fully recovered from the corresponding light-front ones. The light-front
current operator can be perturbatively calculated through a quasi-potential
expansion, and the divergence of the proposed current satisfies a
Ward-Takahashi identity at any given order of the expansion. In the
quasi-potential expansion the instantaneous terms of the fermion propagator are
accounted for by the effective interaction and two-body currents. We exemplify
our theoretical construction in the Yukawa model in the ladder approximation,
investigating in detail the current operator at the lowest nontrivial order of
the quasi-potential expansion of the Bethe-Salpeter equation. The explicit
realization of the light-front form of the Ward-Takahashi identity is verified.
We also show the relevance of instantaneous terms and of the pair contribution
to the two-body current and the Ward-Takahashi identity.


title:
Observation of Very High Energy Gamma Rays from HESS J1804-216 with
  CANGAROO-III Telescopes

abstract:
  We observed the unidentified TeV gamma-ray source HESS J1804-216 with the
CANGAROO-III atmospheric Cerenkov telescopes from May to July in 2006. We
detected very high energy gamma rays above 600 GeV at the 10 sigma level in an
effective exposure of 76 hr. We obtained a differential flux of
(5.0+/-1.5_{stat}+/-1.6_{sys})\times 10^{-12}(E/1 TeV)^{-\alpha}
cm^{-2}s^{-1}TeV^{-1} with a photon index \alpha of 2.69 +/- 0.30_{stat} +/-
0.34_{sys}, which is consistent with that of the H.E.S.S. observation in 2004.
We also confirm the extended morphology of the source. By combining our result
with multi-wavelength observations, we discuss the possible counterparts of
HESS J1804-216 and the radiation mechanism based on leptonic and hadronic
processes for a supernova remnant and a pulsar wind nebula.


title: A Gauge Model of Data Selection, Acquisition and Analysis for LHC

abstract:
  A novel model of the data selection, acquisition and analysis for a
multi-purpose and multi-component high-energy-physics experiment is presented.
Its departure point is the freedom and the responsibility given to the
different physics groups of the experiment to impose, on the {\it
event-by-event basis}, their physics-goal-optimal configurations of (i) the
sub-detectors, (ii) the trigger and data acquisition system, and (iii) the
reconstruction and analysis framework. Its target is to develop, in a close
analogy to the construction of the gauge models in particle physics, the
overall data handling scheme, in which a multi-purpose experiment becomes an
association of coexistent, yet largely independent, physics-group-based
sub-experiments sharing common hardware maintenance, data-acquisition, and data
reconstruction resources.


title:
Quantitative study of the transverse correlation of soft gluons in high
  energy QCD

abstract:
  We examine both analytically and numerically the validity of factorization
for the double dipole scattering amplitude T^{(2)} which appears on the right
hand side of the BK--JIMWLK equation. We demonstrate that, if one uses a dilute
object (e.g., a proton in DIS) as the initial condition, the correlation in the
transverse plane induced by the leading order BFKL evolution is generally
strong, resulting in a violation of the mean field approximation T^{(2)}
\approx TT even at zero impact parameter by a factor ranging from 1.5 to O(10)
depending on the relative size of the scatterers and rapidity. This suggests
that, within the experimentally accessible energy interval, the transverse
correlation can significantly affect the nonlinear evolution of the dipole
scattering amplitude. It also suggests that the nonlinear effects may set in
earlier, already in the weak scattering regime. In the case of the simulation
with a running coupling, the violation of factorization is somewhat milder, but
still noticeable.


title: Equilibriumlike extension of the invaded cluster algorithm

abstract:
  We propose an extension of the nonequilibrium invaded cluster (IC) algorithm,
which reestablishes a correct scaling of fluctuations at criticality and also
self-adjusts to the critical temperature. We show that by introducing a single
constraint to the intrinsic quantity of the IC algorithm the temperature
becomes well defined and the sampling of the equilibrium ensemble is regained.
The procedure is applied to the Potts model in two and three dimensions.


title:
On the elastic energy and stress correlation in the contact between
  elastic solids with randomly rough surfaces

abstract:
  When two elastic solids with randomly rough surfaces are brought in contact,
a very inhomogeneous stress distribution sigma(x) will occur at the interface.
Here I study the elastic energy and the correlation function
<sigma(q)sigma(-q)>, where sigma(q) is the Fourier transform of sigma(x) and
where <...> stands for ensemble average. I relate <sigma(q})sigma(-q)> to the
elastic energy stored at the interface, and I show that for self affine fractal
surfaces, quite generally <sigma(q)sigma(-q)> \sim q^{-(1+H)}, where H is the
Hurst exponent of the self-affine fractal surface.


title: Non-perturbative F-terms across lines of BPS stability

abstract:
  We consider non-perturbative terms in the 4d effective action due to BPS
D-brane instantons, and study their continuity properties in moduli space as
instantons cross lines of BPS stability, potentially becoming non-BPS. We argue
that BPS instantons contributing to the superpotential cannot become non-BPS
anywhere in moduli space, since they cannot account for the required four
goldstino fermion zero modes. At most they can reach lines of threshold
stability, where they split into mutually BPS multi-instantons, as already
discussed in the literature. On the other hand, instantons with additional
fermion zero modes, contributing to multi-fermion F-terms, can indeed cross
genuine lines of marginal stability, beyond which they lead to non-BPS systems.
The non-BPS instanton generates an operator which is a D-term locally in moduli
space, but not globally. This is due to a cohomological obstruction localized
on the BPS locus, where the D-term must be written as an F-term, thus ensuring
the continuity of the 4d contribution to the effective action. We also point
out an interesting relation between lifting of fermion zero modes on instantons
and 4d supersymmetry breaking.


title:
High-Resolution Chandra X-ray Imaging and Spectroscopy of the Sigma
  Orionis Cluster

abstract:
  We present results of a 90 ksec Chandra X-ray observation of the young sigma
Orionis cluster (age ~3 Myr) obtained with the High Energy Transmission Grating
Spectrometer. We use the high resolution grating spectrum and moderate
resolution CCD spectrum of the massive central star sigma Ori AB (O9.5V +
B0.5V) to test wind shock theories of X-ray emission and also analyze the high
spatial resolution zero-order ACIS-S image of the central cluster region.
Chandra detected 42 X-ray sources on the primary CCD (ACIS-S3). All but five
have near-IR or optical counterparts and about one-fourth are variable. Notable
high-mass stellar detections are sigma Ori AB, the magnetic B star sigma Ori E,
and the B5V binary HD 37525. Most of the other detections have properties
consistent with lower mass K or M-type stars. We present the first X-ray
spectrum of the unusual infrared source IRS1 located 3.3 arc-sec north of sigma
Ori AB, which is likely an embedded T Tauri star whose disk/envelope is being
photoevaporated by sigma Ori AB. We focus on the radiative wind shock
interpretation of the soft luminous X-ray emission from sigma Ori AB, but also
consider possible alternatives including magnetically-confined wind shocks and
colliding wind shocks. Its emission lines show no significant asymmetries or
centroid shifts and are moderately broadened to HWHM ~ 264 km/s, or one-fourth
the terminal wind speed. Forbidden lines in He-like ions are formally
undetected, implying strong UV suppression. The Mg XI triplet forms in the wind
acceleration zone within one stellar radius above the surface. These X-ray
properties are consistent in several respects with the predictions of radiative
wind shock theory for an optically thin wind, but explaining the narrow line
widths presents a challenge to the theory.


title: Finite-size effects in the spherical model of finite thickness

abstract:
  A detailed analysis of the finite-size effects on the bulk critical behaviour
of the $d$-dimensional mean spherical model confined to a film geometry with
finite thickness $L$ is reported. Along the finite direction different kinds of
boundary conditions are applied: periodic $(p)$, antiperiodic $(a)$ and free
surfaces with Dirichlet $(D)$, Neumann $(N)$ and a combination of Neumann and
Dirichlet $(ND)$ on both surfaces. A systematic method for the evaluation of
the finite-size corrections to the free energy for the different types of
boundary conditions is proposed. The free energy density and the equation for
the spherical field are computed for arbitrary $d$. It is found, for $2<d<4$,
that the singular part of the free energy has the required finite-size scaling
form at the bulk critical temperature only for $(p)$ and $(a)$. For the
remaining boundary conditions the standard finite-size scaling hypothesis is
not valid. At $d=3$, the critical amplitude of the singular part of the free
energy (related to the so called Casimir amplitude) is estimated. We obtain
$\Delta^{(p)}=-2\zeta(3)/(5\pi)=-0.153051...$, $\Delta^{(a)}=0.274543...$ and
$\Delta^{(ND)}=0.01922...$, implying a fluctuation--induced attraction between
the surfaces for $(p)$ and repulsion in the other two cases. For $(D)$ and
$(N)$ we find a logarithmic dependence on $L$.


title: On the Gross-Pitaevskii equation for trapped dipolar quantum gases

abstract:
  We study the time-dependent Gross-Pitaevskii equation describing
Bose-Einstein condensation of trapped dipolar quantum gases. Existence and
uniqueness as well as the possible blow-up of solutions are studied. Moreover,
we discuss the problem of dimension-reduction for this nonlinear and nonlocal
Schrodinger equation.


title: Exclusive photoproduction of Upsilon: from HERA to Tevatron

abstract:
  The forward photoproduction amplitude for gamma p to Upsilon p is calculated
in a pQCD k_t-factorization approach with an unintegrated gluon distribution
constrained by inclusive deep-inelastic structure functions. The total cross
section for diffractive Upsilons is compared with a recent HERA data. We also
discuss the 2S/1S ratio in diffractive Upsilon-production. The amplitude is
used to predict the cross section for exclusive Upsilon production in hadronic
reactions. Differential distributions for the exclusive p pbar to p Upsilon
pbar process are calculated for Tevatron energies. We also show predictions for
LHC. Absorption effects are included.


title:
Events trigger generator for resonant spherical detectors of
  gravitational waves

abstract:
  We have set up and tested a pipeline for processing the data from a spherical
gravitational wave detector with six transducers. The algorithm exploits the
multichannel capability of the system and provides a list of candidate events
with their arrival direction. The analysis starts with the conversion of the
six detector outputs into the scalar and the five quadrupolar modes of the
sphere, which are proportional to the corresponding gravitational wave
spherical components. Event triggers are then generated by an adaptation of the
WaveBurst algorithm. Event validation and direction reconstruction are made by
cross-checking two methods of different inspiration: geometrical (lowest
eigenvalue) and probabilistic (maximum likelihood). The combination of the two
methods is able to keep substantially unaltered the efficiency and can reduce
drastically the detections of fake events (to less than ten per cent). We show
a quantitative test of these ideas by simulating the operation of the resonant
spherical detector miniGRAIL, whose planned sensitivity in its frequency band
(few hundred Hertz's around 3 kHz) is comparable with the present LIGO one.


title: Short-time dynamics in the 1D long-range Potts model

abstract:
  We present numerical investigations of the short-time dynamics at criticality
in the 1D Potts model with power-law decaying interactions of the form
1/r^{1+sigma}. The scaling properties of the magnetization, autocorrelation
function and time correlations of the magnetization are studied. The dynamical
critical exponents theta' and z are derived in the cases q=2 and q=3 for
several values of the parameter $\sigma$ belonging to the nontrivial critical
regime.


title: Constants of Motion for Non-Differentiable Quantum Variational Problems

abstract:
  We extend the DuBois-Reymond necessary optimality condition and Noether's
symmetry theorem to the scale relativity theory setting. Both Lagrangian and
Hamiltonian versions of Noether's theorem are proved, covering problems of the
calculus of variations with functionals defined on sets of non-differentiable
functions, as well as more general non-differentiable problems of optimal
control. As an application we obtain constants of motion for some linear and
nonlinear variants of the Schrodinger equation.


title: A necessary condition for dynamic equivalence

abstract:
  If two control systems on manifolds of the same dimension are dynamic
equivalent, we prove that either they are static equivalent --i.e. equivalent
via a classical diffeomorphism-- or they are both ruled; for systems of
different dimensions, the one of higher dimension must ruled. A ruled system is
one whose equations define at each point in the state manifold, a ruled
submanifold of the tangent space. Dynamic equivalence is also known as
equivalence by endogenous dynamic feedback, or by a Lie-B\"acklund
transformation when control systems are viewed as underdetermined systems of
ordinary differential equations; it is very close to absolute equivalence for
Pfaffian systems. It was already known that a differentially flat system must
be ruled; this is a particular case of the present result, in which one of the
systems is assumed to be "trivial" (or linear controllable).


title:
Coherence-incoherence crossover in the normal state of iron-oxypnictides
  and importance of the Hund's rule coupling

abstract:
  A new class of high temperature superconductors based on iron and arsenic was
recently discovered, with superconducting transition temperature as high as 55
K. Here we show, using microscopic theory, that the normal state of the iron
pnictides at high temperatures is highly anomalous, displaying a Curie Weiss
susceptibility and a linear temperature dependence of the resistivity. Below a
coherence scale T*, the resistivity sharply drops and susceptibility crosses
over to Pauli-like temperature dependence. Remarkably, the
coherence-incoherence crossover temperature is a very strong function of the
strength of the Hund's rule coupling J_Hund. On the basis of the normal state
properties, we estimate J_Hund to be 0.35-0.4 eV. In the atomic limit, this
value of J_Hund leads to the critical ratio of the exchange constants
J_1/J_2~2. While normal state incoherence is in common to all strongly
correlated superconductors, the mechanism for emergence of the incoherent state
in iron-oxypnictides, is unique due to its multiorbital electronic structure.


title: Free subalgebras of Lie algebras close to nilpotent

abstract:
  We prove that for every automata algebra of exponential growth, the
associated Lie algebra contains a free subalgebra. For n\geq 1, let L_{n+2} be
a Lie algebra with generator set x_1,..., x_{n+2} and the following relations:
for k\leq n, any commutator of length $k$ which consists of fewer than k
different symbols from {x_1,...,x_{n+2}} is zero. As an application of this
result about automata algebras, we prove that for every n\geq 1, L_{n+2}
contains a free subalgebra. We also prove the similar result about groups
defined by commutator relations.


title: Nonequilibrium interactions between two quantum circuits

abstract:
  We briefly overview our recent results on nonequilibrium interactions between
neighboring electrically isolated nanostructures. One of the nanostructures is
represented by an externally biased quantum point contact (drive-QPC), which is
used to supply energy quanta to the second nanostructure (detector). Absorption
of these nonequilibrium quanta of energy generates a dc-current in the
detector, or changes its differential conductance. We present results for a
double quantum dot, a single quantum dot or a second QPC placed in the detector
circuit. In all three cases a detection of quanta with energies up to ~1 meV is
possible for bias voltages across the drive-QPC in the mV range. The results
are qualitatively consistent with an energy transfer mechanism based on
nonequilibrium acoustic phonons.


title: Riemann Hypothesis and Master Matrix for FZZT Brane Partition Functions

abstract:
  We continue to investigate the physical interpretation of the Riemann zeta
function as a FZZT brane partition function associated with a matrix/gravity
correspondence begun in arxiv:0708.0645. We derive the master matrix of the
$(2,1)$ minimal and $(3,1)$ minimal matrix model. We use it's characteristic
polynomial to understand why the zeros of the FZZT partition function, which is
the Airy function, lie on the real axis. We also introduce an iterative
procedure that can describe the Riemann $\Xi$ function as a deformed minimal
model whose deformation parameters are related to a Konsevich integrand.
Finally we discuss the relation of our work to other approaches to the Riemann
$\Xi$ function including expansion in terms of Meixner-Pollaczek polynomials
and Riemann-Hilbert problems.


title:
Similarity-Projection structures: the logical geometry of Quantum
  Physics

abstract:
  Similarity-Projection structures abstract the numerical properties of real
scalar product of rays and projections in Hilbert spaces to provide a more
general framework for Quantum Physics. They are characterized by properties
that possess direct physical meaning. They provide a formal framework that
subsumes both classical boolean logic concerned with sets and subsets and
quantum logic concerned with Hilbert space, closed subspaces and projections.
They shed light on the role of the phase factors that are central to Quantum
Physics. The generalization of the notion of a self-adjoint operator to
SP-structures provides a novel notion that is free of linear algebra.


title:
Nonequilibrium phenomena in adjacent electrically isolated
  nanostructures

abstract:
  We report on nonequilibrium interaction phenomena between adjacent but
electrostatically separated nanostructures in GaAs. A current flowing in one
externally biased nanostructure causes an excitation of electrons in a circuit
of a second nanostructure. As a result we observe a dc current generated in the
unbiased second nanostructure. The results can be qualitatively explained in
terms of acoustic phonon based energy transfer between the two mutually
isolated circuits.


title: The Escape Rate of a Molecule

abstract:
  We show existence and give an implicit formula for the escape rate of the
n-centre problem of celestial mechanics for high energies. Furthermore we give
precise computable estimates of this rate. This exponential decay rate plays an
important role especially in semiclassical scattering theory of n-atomic
molecules. Our result shows that the diameter of a molecule is measurable in a
(classical) high-energy scattering experiment.


title: Random walk weakly attracted to a wall

abstract:
  We consider a random walk X_n in Z_+, starting at X_0=x>= 0, with transition
probabilities P(X_{n+1}=X_n+1|X_n=y>=1)=1/2-\delta/(4y+2\delta)
P(X_{n+1}=X_n+1|X_n=y>=1)=1/2+\delta/(4y+2\delta) and X_{n+1}=1 whenever X_n=0.
We prove that the expectation value of X_n behaves like n^{1-(\delta/2)} as n
goes to infinity when \delta is in the range (1,2). The proof is based upon the
Karlin-McGregor spectral representation, which is made explicit for this random
walk.


title: Quasiperiodic and Lyndon episturmian words

abstract:
  Recently the second two authors characterized quasiperiodic Sturmian words,
proving that a Sturmian word is non-quasiperiodic if and only if it is an
infinite Lyndon word. Here we extend this study to episturmian words (a natural
generalization of Sturmian words) by describing all the quasiperiods of an
episturmian word, which yields a characterization of quasiperiodic episturmian
words in terms of their "directive words". Even further, we establish a
complete characterization of all episturmian words that are Lyndon words. Our
main results show that, unlike the Sturmian case, there is a much wider class
of episturmian words that are non-quasiperiodic, besides those that are
infinite Lyndon words. Our key tools are morphisms and directive words, in
particular "normalized" directive words, which we introduced in an earlier
paper. Also of importance is the use of "return words" to characterize
quasiperiodic episturmian words, since such a method could be useful in other
contexts.


title: WMAP5 constraints on the unified model of dark energy and dark matter

abstract:
  We derive constraints on the parameter space of the unified model of dark
energy and dark matter, the Generalized Chaplygin Gas (GCG), from the
amplitudes and positions of the first few peaks and first trough of the cosmic
microwave background radiation (CMBR) power spectrum, using the latest WMAP
five year data.


title: Covariance of centered distributions on manifold

abstract:
  We define and study a family of distributions with domain complete Riemannian
manifold. They are obtained by projection onto a fixed tangent space via the
inverse exponential map. This construction is a popular choice in the
literature for it makes it easy to generalize well known multivariate Euclidean
distributions. However, most of the available solutions use coordinate specific
definition that makes them less versatile. %We propose improvements in two
directions. We define the distributions of interest in coordinate independent
way by utilizing co-variant 2-tensors. Then we study the relation of these
distributions to their Euclidean counterparts. In particular, we are interested
in relating the covariance to the tensor that controls distribution
concentration. We find approximating expression for this relation in general
and give more precise formulas in case of manifolds of constant curvature,
positive or negative. Results are confirmed by simulation studies of the
standard normal distribution on the unit-sphere and hyperbolic plane.


title: Dumb-bell swimmers

abstract:
  We investigate the way in which oscillating dumb-bells, a simple microscopic
model of apolar swimmers, move at low Reynold's number. In accordance with
Purcell's Scallop Theorem a single dumb-bell cannot swim because its stroke is
reciprocal in time. However the motion of two or more dumb-bells, with mutual
phase differences, is not time reversal invariant, and hence swimming is
possible. We use analytical and numerical solutions of the Stokes equations to
calculate the hydrodynamic interaction between two dumb-bell swimmers and to
discuss their relative motion. The cooperative effect of interactions between
swimmers is explored by considering first regular, and then random arrays of
dumb-bells. We find that a square array acts as a micropump. The long time
behaviour of suspensions of dumb-bells is investigated and compared to that of
model polar swimmers.


title:
Mass dispersions from giant dipole resonances using the Balian-Veneroni
  variational approach

abstract:
  The Balian-Veneroni variational approach has been implemented using a
3-dimensional time-dependent Hartree-Fock (TDHF) code with realistic Skyrme
interactions and used to investigate the mass dispersions from giant dipole
resonances in S-32 and Sn-132 decaying through particle emission. The
fluctuations obtained are shown to be quantitatively larger than the standard
TDHF results.


title:
The evolved stars of Leo II dSph galaxy from near-infrared UKIRT/WFCAM
  observations

abstract:
  We present a study of the evolved stellar populations in the dwarf spheroidal
galaxy LeoII, based on JHKs observations obtained with the near-infrared array
WFCAM at the UKIRT telescope. Combining the new data with optical data, we
derived photometric estimates of the distribution of global metallicity [M/H]
of individual red giant stars from their V-Ks colours. We used the new data to
derive the properties of a nearly complete sample of asymptotic giant branch
(AGB) stars in LeoII. Using a near-infrared two-colour diagram, we were able to
obtain a clean separation from Milky Way foreground stars and discriminate
between carbon- and oxygen-rich AGB stars. We simulate the JHKs data with the
TRILEGAL population synthesis code together with the most updated thermally
pulsing AGB models, and using the star formation histories derived from
independent work based on deep HST photometry. After scaling the mass of LeoII
models to the observed number of upper RGB stars, we find that present models
predict too many O-rich TP-AGB stars of higher luminosity due to a likely
under-estimation of either their mass-loss rates at low metallicity, and/or
their degree of obscuration by circumstellar dust. On the other hand, the
TP-AGB models are able to reproduce the observed number and luminosities of
carbon stars satisfactorily well, indicating that in this galaxy the least
massive stars that became carbon stars should have masses as low as ~1 M_sun.


title:
Classification of the Super-conducting order parameters under the point
  group symmetry for a multi-band system: application to LaOFeAs

abstract:
  All the possible super-conducting order parameters for the LaOFeAs system are
classified by their transformation under the complete crystal symmetry. The
general forms of the super-conducting gap functions for each class are
discussed. We find that the gap functions in such a multi-band system belong to
three types, full gap, nodal type and finite {}``Fermi arc'' type. Possible
physical consequences caused by different types of gap functions are also
discussed.


title: The ALICE HMPID detector ready for collisions at the LHC

abstract:
  ALICE has been specifically optimized to study heavy-ion collisions at the
LHC, up to a charged particle density of 8000 per unit of rapidity in central
heavy-ion collisions at $\sqrt{s_{NN}}$ = 5.5 TeV. The High Momentum Particle
Identification Detector (HMPID) has a proximity focusing geometry with a liquid
$\rm C_{6}F_{14}$ Cherenkov radiator coupled to Multi-Wire Pad Chambers (MWPC)
equipped with CsI photocathodes, over a total active area of 11 $\rm m^2$. It
has been designed to identify charged pions and kaons in the range 1 $\leq p
\leq$ 3 \GeV/$c$ and protons in the range 2 $\leq p \leq$ 5 \GeV/$c$. The
as-built detector and all relevant subsystems (gas, liquid $\rm C_{6}F_{14}$,
cooling and control) are described. Installation issues and first commissioning
results are also presented.


title: Composite fermionization of 1-D Bose-Bose mixtures

abstract:
  We study the ground states of one-dimensional Bose-Bose mixtures under
harmonic confinement. As we vary the inter-species coupling strength up to the
limit of infinite repulsion, we observe a generalized, composite-fermionization
crossover. The initially coexisting phases demix as a whole (for weak
intra-species interactions) and separate on an atomic level (for strong
intra-species repulsion). By symmetry, the two components end up with strongly
overlapping profiles, albeit sensitive to symmetry-breaking perturbations.
Different pathways emerge in case the two components have different atom
numbers, different intra-species interactions, or different masses and/or trap
frequencies.


title: Electron cooling by carbon monoxide in the atmospheres of Mars and Venus

abstract:
  Electron cooling, in which free electrons lose energy to vibrational
excitation of gases, has been identified as a significant process in the
atmospheres of Mars and Venus for electron impact on CO2. This process does not
appear to have been evaluated for CO, although the density of CO exceeds that
of CO2 in the upper atmospheres of these planets. In this paper electron
cooling rates for CO are calculated and compared with existing rates for CO2.
It is found that electron cooling by CO becomes more significant than by CO2
above altitudes of about 300 km on Mars and about 168 km on Venus. The
sensitivity of the calculated cooling rates to different measurements of the
integral cross sections for electron-impact vibrational excitation of CO is
also investigated.
  PACS Codes: 34.80.Gs, 96.12.Jt


title: Diversity-Integration Trade-offs in MIMO Detection

abstract:
  In this work, a MIMO detection problem is considered. At first, we derive the
Generalized Likelihood Ratio Test (GLRT) for arbitrary transmitted signals and
arbitrary time-correlation of the disturbance. Then, we investigate design
criteria for the transmitted waveforms in both power-unlimited and
power-limited systems and we study the interplay among the rank of the
optimized code matrix, the number of transmit diversity paths and the amount of
energy integrated along each path. The results show that increasing the rank of
the code matrix allows generating a larger number of diversity paths at the
price of reducing the average signal-to-clutter level along each path.


title:
Decisive Influence of Cation Size on the Magnetic Groundstate and
  Non-Fermi Liquid Behavior of ARuO3 (A = Ca, Sr)

abstract:
  We report calorimetric, magnetic and electric transport properties of
single-crystal CaRuO3 and SrRuO3 as a function of temperature T and applied
magnetic field B. We find that CaRuO3 is a non-Fermi-liquid metal near a
magnetic instability, as characterized by the following properties: (1) the
heat capacity C(T,B) ~ -T log T is readily enhanced in low applied fields, and
exhibits a Schottky peak at 2.3 K that exhibits field dependence when T is
reduced; (2) the magnetic susceptibility diverges as T^-x at low temperatures
with 1/2 < x < 1, depending on the applied field; and (3) the electrical
resistivity exhibits a T3/2 dependence over the range 1.7 < T < 24 K. No
Shubnikov-de Haas oscillations are discerned at T = 0.65 K for applied fields
up to 45 T. These properties, which sharply contrast those of the itinerant
ferromagnet SrRuO3, indicate CaRuO3 is a rare example of a stoichiometric oxide
compound that exhibits non-Fermi-liquid behavior near a quantum critical point.


title: Results Of A Model-Independent Global Search For New Physics At CDF

abstract:
  Data collected in Run II of the Fermilab Tevatron are searched for
indications of new electroweak-scale physics. Rather than focusing on
particular new physics scenarios, CDF data are analyzed for discrepancies with
the Standard Model prediction. A model-independent approach (Vista) considers
gross features of the data, and is sensitive to new large cross-section
physics. Further sensitivity to new physics is provided by two additional
algorithms: a ``Bump-Hunter'' searches invariant mass distributions for
``bumps'' that could indicate resonant production of new particles; and the
Sleuth procedure scans for data excesses in the high-pT tails. This combined
global search for new physics in 2.0/fb of p-pbar collisions at sqrt(s)=1.96
TeV reveals no indication of physics beyond the Standard Model.


title: Lecture by Michael Hopkins: the string orientation of tmf

abstract:
  These are the notes of a lecture held by Michael Hopkins in march 2007, at
the Talbot workshop.


title: Tongue pressure recordings during speech using complete denture

abstract:
  This paper describes an original experimental procedure to measure mechanical
interactions between tongue and teeth during speech production. Using
edentulous people as subjects, pressure transducers are inserted in their
complete denture duplicate. Physiology is respected during sound and pressure
recording as with standard complete denture. Original calibration device is
also described in order to know what kind of information can be extracted from
the data. The measurements are realized in different experimental conditions in
order to remove the auditory and the orosensory feedbacks. Then the first
results of the pilot study are presented


title:
Maximum likelihood estimation in a partially observed stratified
  regression model with censored data

abstract:
  The stratified proportional intensity model generalizes Cox's proportional
intensity model by allowing different groups of the population under study to
have distinct baseline intensity functions. In this article, we consider the
problem of estimation in this model when the variable indicating the stratum is
unobserved for some individuals in the studied sample. In this setting, we
construct nonparametric maximum likelihood estimators for the parameters of the
stratified model and we establish their consistency and asymptotic normality.
Consistent estimators for the limiting variances are also obtained.


title:
Market response to external events and interventions in spherical
  minority games

abstract:
  We solve the dynamics of large spherical Minority Games (MG) in the presence
of non-negligible time dependent external contributions to the overall market
bid. The latter represent the actions of market regulators, or other major
natural or political events that impact on the market. In contrast to
non-spherical MGs, the spherical formulation allows one to derive closed
dynamical order parameter equations in explicit form and work out the market's
response to such events fully analytically. We focus on a comparison between
the response to stationary versus oscillating market interventions, and reveal
profound and partially unexpected differences in terms of transition lines and
the volatility.


title: Pruning Attribute Values From Data Cubes with Diamond Dicing

abstract:
  Data stored in a data warehouse are inherently multidimensional, but most
data-pruning techniques (such as iceberg and top-k queries) are unidimensional.
However, analysts need to issue multidimensional queries. For example, an
analyst may need to select not just the most profitable stores
or--separately--the most profitable products, but simultaneous sets of stores
and products fulfilling some profitability constraints. To fill this need, we
propose a new operator, the diamond dice. Because of the interaction between
dimensions, the computation of diamonds is challenging. We present the first
diamond-dicing experiments on large data sets. Experiments show that we can
compute diamond cubes over fact tables containing 100 million facts in less
than 35 minutes using a standard PC.


title:
A Microscopic Convexity Principle for Nonlinear Partial Differential
  Equations

abstract:
  We establish a microscopic convexity principle for nonlinear elliptic and
parabolic partial differential equations in general form.


title: Conformal metrics on $\R^{2m}$ with constant Q-curvature

abstract:
  We study the conformal metrics on $\R^{2m}$ with constant Q-curvature $Q$
having finite volume, particularly in the case $Q\leq 0$. We show that when
$Q<0$ such metrics exist in $\R^{2m}$ if and only if $m>1$. Moreover we study
their asymptotic behavior at infinity, in analogy with the case $Q>0$, which we
treated in a recent paper. When Q=0, we show that such metrics have the form
$e^{2p}g_{\R^{2m}}$, where $p$ is a polynomial such that $2\leq \deg p\leq
2m-2$ and $\sup_{\R^{2m}}p<+\infty$. In dimension 4, such metrics are exactly
the polynomials $p$ of degree 2 with $\lim_{|x|\to+\infty}p(x)=-\infty$.


title: Construction of eternal solutions for a semilinear parabolic equation

abstract:
  Eternal solutions of parabolic equations (those which are defined for all
time) are typically rather rare. For example, the heat equation has exactly one
eternal solution -- the trivial solution. While solutions to the heat equation
exist for all forward time, they cannot be extended backwards in time.
Nonlinearities exasperate the situation somewhat, in that solutions may form
singularities in both backward and forward time. However, semilinear parabolic
equations can also support nontrivial eternal solutions. This article shows how
nontrivial eternal solutions can be constructed for a semilinear equation that
has at least two distinct equilibrium solutions. The resulting eternal solution
is a heteroclinic orbit which connects the two given equilibria.


title:
CEM03.03 and LAQGSM03.03 Event Generators for the MCNP6, MCNPX, and
  MARS15 Transport Codes

abstract:
  A description of the IntraNuclear Cascade (INC), preequilibrium, evaporation,
fission, coalescence, and Fermi breakup models used by the latest versions of
our CEM03.03 and LAQGSM03.03 event generators is presented, with a focus on our
most recent developments of these models. The recently developed "S" and "G"
versions of our codes, that consider multifragmentation of nuclei formed after
the preequilibrium stage of reactions when their excitation energy is above 2A
MeV using the Statistical Multifragmentation Model (SMM) code by Botvina et al.
("S" stands for SMM) and the fission-like binary-decay model GEMINI by Charity
("G" stands for GEMINI), respectively, are briefly described as well. Examples
of benchmarking our models against a large variety of experimental data on
particle-particle, particle-nucleus, and nucleus-nucleus reactions are
presented. Open questions on reaction mechanisms and future necessary work are
outlined.