title:
Transient Non-linear Thermal FEM Simulation of Smart Power Switches and
  Verification by Measurements

abstract:
  Thermal FEM (Finite Element Method) simulations can be used to predict the
thermal behavior of power semiconductors in application. Most power
semiconductors are made of silicon. Silicon thermal material properties are
significantly temperature dependent. In this paper, validity of a common
non-linear silicon material model is verified by transient non-linear thermal
FEM simulations of Smart Power Switches and measurements. For verification,
over-temperature protection behavior of Smart Power Switches is employed. This
protection turns off the switch at a pre-defined temperature which is used as a
temperature reference in the investigation. Power dissipation generated during
a thermal overload event of two Smart Power devices is measured and used as an
input stimulus to transient thermal FEM simulations. The duration time of the
event together with the temperature reference is confronted with simulation
results and thus the validity of the silicon model is proved. In addition, the
impact of non-linear thermal properties of silicon on the thermal impedance of
power semiconductors is shown.


title: A Modified Version of Free Orbit-Dimension of von Neumann Algebras

abstract:
  Based on the notion of free orbit-dimension introduced by D. Hadwin and J.
Shen [4], we introduce a new invariant on finite von Neumann algebras that do
not necessarily act on separable Hilbert space. We show that this invariant is
independent on the generating set, and we extend some results in [4] to von
Neumann algebras that are not finitely generated.


title:
Semiclassical second microlocal propagation of regularity and integrable
  systems

abstract:
  We develop a second-microlocal calculus of pseudodifferential operators in
the semiclassical setting. These operators test for Lagrangian regularity of
semiclassical families of distributions on a manifold $X$ with respect to a
Lagrangian submanifold of $T^*X.$ The construction of the calculus, closely
analogous to one performed by Bony in the setting of homogeneous Lagrangians,
proceeds via the consideration of a model case, that of the zero section of
$T^*\mathbb{R}^n,$ and conjugation by appropriate Fourier integral operators.
We prove a propagation theorem for the associated wavefront set analogous to
H\"ormander's theorem for operators of real principal type.
  As an application, we consider the propagation of Lagrangian regularity on
invariant tori for quasimodes (e.g. eigenfunctions) of an operator with
completely integrable classical hamiltonian. We prove a secondary propagation
result for second wavefront set which implies that even in the (extreme) case
of Lagrangian tori with all frequencies rational, provided a nondegeneracy
assumption holds, Lagrangian regularity either spreads to fill out a whole
torus or holds nowhere locally on it.


title: Classical Solutions of Ghost Condensation Models

abstract:
  Motivated by ideas obtained from both ghost condensation and gravitational
Higgs mechanism, we attempt to find classical solutions in the unitary gauge in
general ghost condensation models. It is shown that depending on the form of
scalar fields in an action, there are three kinds of exact solutions, which are
(anti-) de Sitter space-time, polynomially expanding universes and flat
Minkowski space-time. We briefly comment on gravitational Higgs mechanism in
these models where we have massive gravitons of 5 degrees of freedom and 1
unitary scalar field (Nambu-Goldstone boson) after spontaneous symmetry
breakdown of general coordinate reparametrization invariance. The models at
hand are free from the problem associated with the non-unitary propagating
mode.


title: Quantum mechanics as a consequence of discrete interactions

abstract:
  Quantum mechanics is usually presented starting from a series of postulates
about the mathematical framework. In this work we show that those same
postulates can be derived by assuming that measurements are discrete
interactions: that is, that we measure at specific moments in time (as opposed
to a continuous measurement that spans a long time interval) and that the
system is in general affected by our measurement. We believe that this way of
presenting quantum mechanics would make it easier to understand by laying out a
more cohesive view of the theory and making it resonate more with our physics
intuition.


title:
Rigidity of Conformally Compact Manifolds with the Round Sphere as the
  Conformal Infinity

abstract:
  In this paper we prove that under a lower bound on the Ricci curvature and an
asymptotic assumption on the scalar curvature, a complete conformally compact
manifold $(M^{n+1},g)$, with a pole $p$ and with the conformal infinity in the
conformal class of the round sphere, has to be the hyperbolic space.


title:
Evolution of central pattern generators for the control of a five-link
  bipedal walking mechanism

abstract:
  Central pattern generators (CPGs), with a basis is neurophysiological
studies, are a type of neural network for the generation of rhythmic motion.
While CPGs are being increasingly used in robot control, most applications are
hand-tuned for a specific task and it is acknowledged in the field that generic
methods and design principles for creating individual networks for a given task
are lacking. This study presents an approach where the connectivity and
oscillatory parameters of a CPG network are determined by an evolutionary
algorithm with fitness evaluations in a realistic simulation with accurate
physics. We apply this technique to a five-link planar walking mechanism to
demonstrate its feasibility and performance. In addition, to see whether
results from simulation can be acceptably transferred to real robot hardware,
the best evolved CPG network is also tested on a real mechanism. Our results
also confirm that the biologically inspired CPG model is well suited for legged
locomotion, since a diverse manifestation of networks have been observed to
succeed in fitness simulations during evolution.


title: Graphical Nonbinary Quantum Error-Correcting Codes

abstract:
  In this paper, based on the nonbinary graph state, we present a systematic
way of constructing good non-binary quantum codes, both additive and
nonadditive, for systems with integer dimensions. With the help of computer
search, which results in many interesting codes including some nonadditive
codes meeting the Singleton bounds, we are able to construct explicitly four
families of optimal codes, namely, $[[6,2,3]]_p$, $[[7,3,3]]_p$, $[[8,2,4]]_p$
and $[[8,4,3]]_p$ for any odd dimension $p$ and a family of nonadditive code
$((5,p,3))_p$ for arbitrary $p>3$. In the case of composite numbers as
dimensions, we also construct a family of stabilizer codes $((6,2\cdot
p^2,3))_{2p}$ for odd $p$, whose coding subspace is {\em not} of a dimension
that is a power of the dimension of the physical subsystem.


title:
Evidence for Merger Remnants in Early-Type Host Galaxies of Low-Redshift
  QSOs

abstract:
  We present results from a pilot HST ACS deep imaging study in broad-band V of
five low-redshift QSO host galaxies classified in the literature as
ellipticals. The aim of our study is to determine whether these early-type
hosts formed at high redshift and have since evolved passively, or whether they
have undergone relatively recent mergers that may be related to the triggering
of the nuclear activity. We perform two-dimensional modeling of the light
distributions to analyze the host galaxies' morphology. We find that, while
each host galaxy is reasonably well fitted by a de Vaucouleurs profile, the
majority of them (4/5) reveal significant fine structure such as shells and
tidal tails. These structures contribute between ~5% and 10% to the total
V-band luminosity of each host galaxy within a region of r ~ 3 r_eff and are
indicative of merger events that occurred between a few hundred Myr and a Gyr
ago. These timescales are comparable to starburst ages in the QSO hosts
previously inferred from Keck spectroscopy. Our results thus support a
consistent scenario in which most of the QSO host galaxies suffered mergers
with accompanying starbursts that likely also triggered the QSO activity in
some way, but we are also left with considerable uncertainty on physical
mechanisms that might have delayed this triggering for several hundred Myr
after the merger.


title: Introduction to the Prisoners Versus Guards Game

abstract:
  We introduce a two-player game in which one and his/her opponent attempt to
pack as many ``prisoners'' as possible on the squares of an n-by-n
checkerboard; each prisoner has to be ``protected'' by at least as many guards
as the number of the other prisoners adjacent. Initially, the board is covered
entirely with guards. The players take turns adjusting the board configuration
using one of the following rules in each turn:
  I. Replace one guard with a prisoner of the player's color.
  II. Replace one prisoner of either color with a guard and replace two other
guards with prisoners of the player's color.
  We analyze winning strategies for small n (n<5) and the maximum number of
prisoners in general. We show that this maximum is less than (7n^2+4n)/11 and
conjecture it is more likely 3n^2/5+O(n).


title:
Determination of tidal distortion in the eclipsing binary system V621
  Cen by means of deviations from the third Kepler law

abstract:
  In this paper we determine the tidal distortion parameter k_m of the
secondary partner (mass loser) of the semi-detached eclipsing binary system
V621 Cen by comparing the phenomenologically determined orbital period
P_b=3.683549(11) d to the Keplerian one P^Kep computed with the values of the
relevant system's parameters determined independently of the third Kepler law
itself. Our result is k_m = -1.5 +/- 0.6. Using the periastron precession, as
traditionally done with other eclipsing binaries in eccentric orbits, would
have not been possible because of the circularity of the V621 Cen path.


title: Diagrammatic approach to response problems in composite systems

abstract:
  The bulk macroscopic response of a system of particles or inclusions with
field-induced forces is studied. The susceptibilities and transport
coefficients in such a system are expressed as averages of a multiple
scattering expansion. A special diagrammatic method is developed to analyze the
structure of the expansion. The concept of irreducibility is discussed in
detail and shown to be crucial in obtaining macroscopic equations
characterizing the system response with coefficients depending solely on local
properties of the medium. Due to the representation of particles by lines in
diagrams, irreducibility is given a particularly simple topological
interpretation in the diagrammatic language. The method is illustrated by a
discussion of response problems in colloidal suspensions in presence of
hydrodynamic interactions.


title:
Phase transition of clock models on hyperbolic lattice studied by corner
  transfer matrix renormalization group method

abstract:
  Two-dimensional ferromagnetic N-state clock models are studied on a
hyperbolic lattice represented by tessellation of pentagons. The lattice lies
on the hyperbolic plane with a constant negative scalar curvature. We observe
the spontaneous magnetization, the internal energy, and the specific heat at
the center of sufficiently large systems, where the fixed boundary conditions
are imposed, for the cases N>=3 up to N=30. The model with N=3, which is
equivalent to the 3-state Potts model on the hyperbolic lattice, exhibits the
first order phase transition. A mean-field like phase transition of the second
order is observed for the cases N>=4. When N>=5 we observe the Schottky type
specific heat below the transition temperature, where its peak hight at low
temperatures scales as N^{-2}. From these facts we conclude that the phase
transition of classical XY-model deep inside the hyperbolic lattices is not of
the Berezinskii-Kosterlitz-Thouless type.


title:
Classification of 5-dimensional MD-algebras having commutive derived
  ideals

abstract:
  In this paper, we study a subclass of the class of MD-algebras, i.e., the
class of solvable real Lie algebras such that the K-orbits of its corresponding
connected and simply connected Lie groups are either orbits of dimension zero
or orbits with maximal dimensions. Our main result is to classify, up to
isomorphism, all the 5-dimensional MD-algebras having commutative derived
ideals.


title: Scaling of Hall Resistivity in the Mixed State of MgB2 Films

abstract:
  The longitudinal resistivity (rho_{xx}) and transverse resistivity (rho_{xy})
of MgB2 thin films in the mixed state were studied in detail. We found that the
temperature dependencies of rho_{xx} and \rho_{xy} at a fixed magnetic field
(H) satisfy the scaling law of $\rho_{xy}=A\rho_{xx}^\beta$, where the exponent
beta varies around 2.0 for different fields. In the low field region (below
1T), beta maintains a constant value of 2.0 due to the weak pinning strength of
the vortices, mainly from the superfluid of the pi band. When H>1T, beta drops
abruptly to its lowest value at about 2T because of the proliferation of
quasiparticles from the pi-band and, hence, the motion of the vortices from the
superfluid of the sigma-band dominates the dissipation. As the field is
increased further, the vortex pinning strength is weakened and beta increases
monotonically towards 2.0 at a high field. All the results presented here are
in good agreement with the expectation of the vortex physics of a multi-band
superconductor.


title:
First-order attractor flow equations for supersymmetric black rings in
  N=2, D=5 supergravity

abstract:
  In this paper we investigate the attractor mechanism in the five dimensional
low energy supergravity theory corresponding to M-theory compactified on a
Calabi-Yau threefold $CY_3$. Using very special geometry, we derive the general
first-order attractor flow equations for BPS and non-BPS solutions in
five-dimensional Gibbons-Hawking spaces. Especially, considering the
supersymmetric solution, we obtain the first-order flow equations for
supersymmetric (multi)black rings. We also solve the flow equations and discuss
some properties of the solutions of flow equations.


title: The use of quantum-correlated D^0 decays for phi3 measurement

abstract:
  We report the results of the Monte-Carlo study of the method to determine the
CKM angle phi3 using Dalitz plot analysis of D0 decay from B->DK process. Our
main goal is to find the optimal strategy for a model-independent phi3
extraction. We find that the analysis using decays of CP-tagged D mesons only
cannot provide a completely model-independent measurement in the case of
limited data sample. The procedure involving binned analysis of B->DK and
psi(3770)->(K0 pi+ pi-)_D (K0 pi+ pi-)_D decays is proposed, that allows to
reach the phi3 precision comparable to unbinned model-dependent fit.


title:
Capacity of the Bosonic Wiretap Channel and the Entropy Photon-Number
  Inequality

abstract:
  Determining the ultimate classical information carrying capacity of
electromagnetic waves requires quantum-mechanical analysis to properly account
for the bosonic nature of these waves. Recent work has established capacity
theorems for bosonic single-user and broadcast channels, under the presumption
of two minimum output entropy conjectures. Despite considerable accumulated
evidence that supports the validity of these conjectures, they have yet to be
proven. In this paper, it is shown that the second conjecture suffices to prove
the classical capacity of the bosonic wiretap channel, which in turn would also
prove the quantum capacity of the lossy bosonic channel. The preceding minimum
output entropy conjectures are then shown to be simple consequences of an
Entropy Photon-Number Inequality (EPnI), which is a conjectured
quantum-mechanical analog of the Entropy Power Inequality (EPI) form classical
information theory.


title:
Time dependence of moments of an exactly solvable Verhulst model under
  random perturbations

abstract:
  Explicit expressions for one point moments corresponding to stochastic
Verhulst model driven by Markovian coloured dichotomous noise are presented. It
is shown that the moments are the given functions of a decreasing exponent. The
asymptotic behavior (for large time) of the moments is described by a single
decreasing exponent.


title: Dynamics of Automorphisms of Compact Complex Manifolds

abstract:
  We give an algebro-geometric approach towards the dynamics of
automorphisms/endomorphisms of projective varieties or compact K\"ahler
manifolds, try to determine the building blocks of automorphisms
/endomorphisms, and show the relation between the dynamics of
automorphisms/endomorphisms and the geometry of the underlying manifolds.


title: Survival May Not be for the Fittest (Lessons from some TV games)

abstract:
  In this paper we argue that biological fitness is a multi-objective concept
hence the statement "fittest" is inappropriate. The following statement is
proposed "Survival is mostly for those with non-dominated fitness". Also we use
some TV games to show that under the following conditions: i) There are no
dominant players. ii) At each time step successful players may eliminate some
of their less successful competitors, Then the ultimate winner may not be the
fittest (but close).


title:
Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with
  Extra Dimensions

abstract:
  We study compactified pure gauge/gravitational theories with gauge-fixing
terms and show that these theories possess quantum mechanical SUSY-like
symmetries between unphysical degrees of freedom. These residual symmetries are
global symmetries and generated by quantum mechanical N=2 supercharges. Also,
we establish new one-parameter family of gauge choices for higher-dimensional
gravity, and calculate as a check of its validity one graviton exchange
amplitude in the lowest tree-level approximation. We confirm that the result is
indeed $\xi$-independent and the cancellation of the $\xi$-dependence is
ensured by the residual symmetries. We also give a simple interpretation of the
vDVZ-discontinuity, which arises in the lowest tree-level approximation, from
the supersymmetric point of view.


title: Superradiant instability for black holes immersed in a magnetic field

abstract:
  We consider the bound states of the massive scalar field around a rotating
black hole immersed in the asymptotically uniform magnetic field. In the regime
of slow black hole rotation, the Klein-Gordon equation allows separation of
variables. We show that the growth rate of the instability can be amplified a
few times by the magnetic field. The effect occurs because the magnetic field
adds the "effective mass" term $B |m|$ to the scalar field potential for a Kerr
black hole. In addition, and as a by-product, we discuss the behavior of the
quasinormal modes for the magnetized rotating black holes.


title: On Modelling The Immune System as a Complex system

abstract:
  We argue that immune system is an adaptive complex system. It is shown that
it has emergent properties. Its network structure is of the small world network
type. The network is of the threshold type, which helps in avoiding
autoimmunity. It has the property that every antigen (e.g.virus or bacteria) is
typically attacked by more than one effector. This stabilizes the equilibrium
state. Modelling complex systems is discussed. Cellular automata (CA) type
models are successful but there are much less analytic results about CA than
about other less successful models e.g. partial differential equations (PDE). A
compromise is proposed


title:
Batch kernel SOM and related Laplacian methods for social network
  analysis

abstract:
  Large graphs are natural mathematical models for describing the structure of
the data in a wide variety of fields, such as web mining, social networks,
information retrieval, biological networks, etc. For all these applications,
automatic tools are required to get a synthetic view of the graph and to reach
a good understanding of the underlying problem. In particular, discovering
groups of tightly connected vertices and understanding the relations between
those groups is very important in practice. This paper shows how a kernel
version of the batch Self Organizing Map can be used to achieve these goals via
kernels derived from the Laplacian matrix of the graph, especially when it is
used in conjunction with more classical methods based on the spectral analysis
of the graph. The proposed method is used to explore the structure of a
medieval social network modeled through a weighted graph that has been directly
built from a large corpus of agrarian contracts.


title: Towards understanding the immune system

abstract:
  It is proposed that using both self-non-self and danger theories give a
better understanding of how the immune system works. It is proposed that
comparing immune system to police force is useful in this case since police
responds both to danger or damage signals and to foreign or suspicious behavior
even if no danger signals existed. We also propose that due to low zone
tolerance immunotherapy needs to be combined with another treatment method for
cancer e.g. chemotherapy or/and radiotherapy to get a sufficient eradication of
tumors. Finally we propose that fractional order differential equations are
more suitable than the familiar integer order differential equations. A
fractional order example of two immune effectors attacking an antigen is given.


title:
A comparison of the magnetic properties of Proton- and Iron-implanted
  graphite

abstract:
  In this work we have investigated the changes of the magnetic properties of
highly oriented pyrolytic graphite samples after irradiation either with $\sim
3 \times 10^{14}$ protons or $ 3.5 \times 10^{13} ... 3.5 \times 10^{14}$ iron
ions with energies in the MeV range. Our results show that iron and proton
irradiations can produce similar paramagnetic contributions depending on the
implantation temperature. However, only protons induce a ferromagnetic effect.


title:
Generalized Uhlenbeck-Goudsmit hypothesis 'Magnetic' S^{a} and
  'Electric' Z^{a} Spins

abstract:
  In this paper, the connection between the dipole moment tensor D^{ab} and the
spin four-tensor S^{ab} is formulated in the form of the generalized
Uhlenbeck-Goudsmit hypothesis, D^{ab}=g_{S}S^{ab}. It is also found that the
spin four-tensor S^{ab} can be decomposed into two 4-vectors, the usual
`space-space' intrinsic angular momentum S^{a}, which will be called `magnetic'
spin (mspin), and a new one, the `time-space' intrinsic angular momentum Z^{a},
which will be called `electric' spin (espin). Both spins are equally good
physical quantities. Taking into account the generalized Uhlenbeck-Goudsmit
hypothesis, the decomposition of S^{ab} and the decomposition of D^{ab} into
the dipole moments m^{a} and d^{a}, we find that an electric dipole moment
(EDM) of a fundamental particle, as a four-dimensional (4D) geometric quantity,
is determined by Z^{a} and not, as generally accepted, by the spin $\mathbf{S}$
as a 3-vector. Also it is shown that neither the T inversion nor the P
inversion are good symmetries in the 4D spacetime. In this geometric approach,
only the world parity W, Wx^{a}=-x^{a}, is well defined in the 4D spacetime.
Some consequences for elementary particle theories and experiments that search
for EDM are briefly discussed.


title:
Statistics of local density of states in the Falicov-Kimball model with
  local disorder

abstract:
  Statistics of the local density of states in the two-dimensional
Falicov-Kimball model with local disorder is studied by employing the
statistical dynamical mean-field theory. Within the theory the local density of
states and its distributions are calculated through stochastic self-consistent
equations. The most probable value of the local density of states is used to
monitor the metal-insulator transition driven by correlation and disorder.
Nonvanishing of the most probable value of the local density of states at the
Fermi energy indicates the existence of extended states in the two-dimensional
disordered interacting system. It is also found that the most probable value of
the local density of states exhibits a discontinuity when the system crosses
from extended states to the Anderson localization. A phase diagram is also
presented.


title: Late Decaying Dark Matter, Bulk Viscosity and the Cosmic Acceleration

abstract:
  We discuss a cosmology in which cold dark matter begins to decay into
relativistic particles at a recent epoch (z < 1). We show that the large
entropy production and associated bulk viscosity from such decays leads to an
accelerating cosmology as required by observations. We investigate the effects
of decaying cold dark matter in a Lambda = 0, flat, initially matter dominated
cosmology. We show that this model satisfies the cosmological constraint from
the redshift-distance relation for type Ia supernovae. The age in such models
is also consistent with the constraints from the oldest stars and globular
clusters. Possible candidates for this late decaying dark matter are suggested
along with additional observational tests of this cosmological paradigm.


title:
Localized charged states and phase separation near second order phase
  transition

abstract:
  Localized charged states and phase segregation are described in the framework
of the phenomenological Ginzburg-Landau theory of phase transitions. The
Coulomb interactions determines the charge distribution and the characteristic
length of the phase separated states. The phase separation with charge
segregation becomes possible because of the large dielectric constant and the
small density of extra charge in the range of charge localization. The phase
diagram is calculated and the energy gain of the phase separated state is
estimated. The role of the Coulomb interaction is elucidated.


title: A New Scenario on X-ray Shallow Decay of Gamma-ray Bursts

abstract:
  In this Letter, we propose that a microphysical process takes a vital role in
the shocked region in which the prompt emission of GRBs is emitted. The
turbulent energy is included in the internal energy transferred by the kinetic
energy of the shock. It dissipates through stochastic acceleration for the
electrons to supply the early X-ray emission in the phase of shallow decay. We
put the constraints on the time evolution of microphysical parameters. The
early X-ray fluxes can be obtained by this scenario and these results are
consistent with the Swift observation


title:
Approximate symmetry reduction approach: infinite series reductions to
  the KdV-Burgers equation

abstract:
  For weak dispersion and weak dissipation cases, the (1+1)-dimensional
KdV-Burgers equation is investigated in terms of approximate symmetry reduction
approach. The formal coherence of similarity reduction solutions and similarity
reduction equations of different orders enables series reduction solutions. For
weak dissipation case, zero-order similarity solutions satisfy the Painlev\'e
II, Painlev\'e I and Jacobi elliptic function equations. For weak dispersion
case, zero-order similarity solutions are in the form of Kummer, Airy and
hyperbolic tangent functions. Higher order similarity solutions can be obtained
by solving linear ordinary differential equations.


title:
Period-Different $m$-Sequences With At Most A Four-Valued Cross
  Correlation

abstract:
  In this paper, we follow the recent work of Helleseth, Kholosha, Johanssen
and Ness to study the cross correlation between an $m$-sequence of period
$2^m-1$ and the $d$-decimation of an $m$-sequence of shorter period $2^{n}-1$
for an even number $m=2n$. Assuming that $d$ satisfies $d(2^l+1)=2^i({\rm mod}
2^n-1)$ for some $l$ and $i$, we prove the cross correlation takes exactly
either three or four values, depending on ${\rm gcd}(l,n)$ is equal to or
larger than 1. The distribution of the correlation values is also completely
determined. Our result confirms the numerical phenomenon Helleseth et al found.
It is conjectured that there are no more other cases of $d$ that give at most a
four-valued cross correlation apart from the ones proved here.


title: Geometric Mean of States and Transition Amplitudes

abstract:
  The transition amplitude between square roots of states, which is an analogue
of Hellinger integral in classical measure theory, is investigated in
connection with operator-algebraic representation theory. A variational
expression based on geometric mean of positive forms is utilized to obtain an
approximation formula for transition amplitudes.


title:
Evolution of Massive Blackhole Triples II -- The effect of the BH
  triples dynamics on the structure of the galactic nuclear

abstract:
  In this paper, we investigate the structures of galaxies which either have or
have had three BHs using $N$-body simulations, and compare them with those of
galaxies with binary BHs. We found that the cusp region of a galaxy which have
(or had) triple BHs is significantly larger and less dense than that of a
galaxy with binary BHs of the same mass. Moreover, the size of the cusp region
depends strongly on the evolution history of triple BHs, while in the case of
binary BHs, the size of the cusp is determined by the mass of the BHs. In
galaxies which have (or had) three BHs, there is a region with significant
radial velocity anisotropy, while such a region is not observed in galaxies
with binary BH. These differences come from the fact that with triple BHs the
energy deposit to the central region of the galaxy can be much larger due to
multiple binary-single BH scatterings. Our result suggests that we can
discriminate between galaxies which experienced triple BH interactions with
those which did not, through the observable signatures such as the cusp size
and velocity anisotropy.


title: Fluctuations of energy flux in wave turbulence

abstract:
  We report that the power driving gravity and capillary wave turbulence in a
statistically stationary regime displays fluctuations much stronger than its
mean value. We show that its probability density function (PDF) has a most
probable value close to zero and involves two asymmetric roughly exponential
tails. We understand the qualitative features of the PDF using a simple
Langevin type model.


title: Quantum Graphity: a model of emergent locality

abstract:
  Quantum graphity is a background independent model for emergent locality,
spatial geometry and matter. The states of the system correspond to dynamical
graphs on N vertices. At high energy, the graph describing the system is highly
connected and the physics is invariant under the full symmetric group acting on
the vertices. We present evidence that the model also has a low-energy phase in
which the graph describing the system breaks permutation symmetry and appears
to be ordered, low-dimensional and local. Consideration of the free energy
associated with the dominant terms in the dynamics shows that this low-energy
state is thermodynamically stable under local perturbations. The model can also
give rise to an emergent U(1) gauge theory in the ground state by the
string-net condensation mechanism of Levin and Wen. We also reformulate the
model in graph-theoretic terms and compare its dynamics to some common graph
processes.


title: Avalanches in anisotropic sheared granular media

abstract:
  We study the influence of particle shape anisotropy on the occurrence of
avalanches in sheared granular media. We use molecular dynamic simulations to
calculate the relative movement of two tectonic plates. % with transform
boundaries. Our model considers irregular polygonal particles constituting the
material within the shear zone. We find that the magnitude of the avalanches is
approximately independent on particle shape and in good agreement with the
Gutenberg-Richter law, but the aftershock sequences are strongly influenced by
the particle anisotropy yielding variations on the exponent characterizing the
empirical Omori's law. Our findings enable one to identify the presence of
anisotropic particles at the macro-mechanical level only by observing the
avalanche sequences of real faults. In addition, we calculate the probability
of occurrence of an avalanche for given values of stiffness or frictional
strength and observe also a significant influence of the particle anisotropy.


title:
MOST photometry and modeling of the rapidly oscillating (roAp) star
  gamma Equ

abstract:
  Aims. Despite photometry and spectroscopy of its oscillations obtained over
the past 25 years, the pulsation frequency spectrum of the rapidly oscillating
Ap (roAp) star gamma Equ has remained poorly understood. Better time-series
photometry, combined with recent advances to incorporate interior magnetic
field geometry into pulsational models, enable us to perform improved
asteroseismology of this roAp star.
  Methods. We obtained 19 days of continuous high-precision photometry of gamma
Equ with the MOST (Microvariability & Oscillations of STars) satellite. The
data were reduced with two different reduction techniques and significant
frequencies were identified. Those frequencies were fitted by interpolating a
grid of pulsation models that include dipole magnetic fields of various polar
strengths.
  Results. We identify 7 frequencies in gamma Equ that we associate with 5
high-overtone p-modes and 1st and 2nd harmonics of the dominant p-mode. One of
the modes and both harmonics are new discoveries for this star. Our best model
solution (1.8 M_sun, log T_eff ~ 3.882; polar field strength ~8.1 kG) leads to
unique mode identifications for these frequencies (ell = 0, 1, 2 and 4). This
is the first purely asteroseismic fit to a grid of magnetic models. We measure
amplitude and phase modulation of the primary frequency due to beating with a
closely spaced frequency which had never been resolved. This casts doubts on
theories that such modulation - unrelated to the rotation of the star - is due
to a stochastic excitation mechanism.


title:
The comet 17P/Holmes 2007 outburst: the early motion of the outburst
  material

abstract:
  Context. On October 24, 2007 the periodic comet 17P/Holmes underwent an
astonishing outburst that increased its apparent total brightness from
magnitude V\sim17 up to V\sim2.5 in roughly two days. We report on Wendelstein
0.8 m telescope (WST) photometric observations of the early evolution stages of
the outburst. Aims. We studied the evolution of the structure morphology, its
kinematic, and estimated the ejected dust mass. Methods. We analized 126 images
in the BVRI photometric bands spread between 26/10/2007 and 20/11/2007. The
bright comet core appeared well separated from that one of a quickly expanding
dust cloud in all the data, and the bulk of the latter was contained in the
field of view of our instrument. The ejected dust mass was derived on the base
of differential photometry on background stars occulted by the moving cloud.
Results. The two cores were moving apart from each other at a relative
projected constant velocity of (9.87 +/- 0.07) arcsec/day (0.135 +/-0.001
km/sec). In the inner regions of the dust cloud we observed a linear increase
in size at a mean constant velocity of (14.6+/-0.3) arcsec/day (0.200+/-0.004
km/sec). Evidence of a radial velocity gradient in the expanding cloud was also
found. Our estimate for the expanding coma's mass was of the order of 10^{-2}-1
comet's mass implying a significant disintegration event. Conclusions. We
interpreted our observations in the context of an explosive scenario which was
more probably originated by some internal instability processes, rather than an
impact with an asteroidal body. Due to the peculiar characteristics of this
event, further observations and investigations are necessary in order to
enlight the nature of the physical processes that determined it.


title:
Application of Structure Functions for the Investigation of Forced Air
  Cooling

abstract:
  This paper presents thermal analyses of a power amplifier placed in a wind
tunnel. All the investigations are based on the transient temperature
measurements performed during the circuit cooling process. The measured cooling
curves were used to compute the cumulative and differential structure functions
for the circuit with a heat sink. These functions helped to determine the
optimal values of circuit model parameters necessary for numerical thermal
simulations. The experiments demonstrated the influence of the wind speed on
the value of the heat transfer coefficient and consequently on the temperature
of the entire structure.


title: Higgs self coupling measurement

abstract:
  A measurement of the Higgs self coupling from e+e- collisions in the
International Linear Collider is presented. The impact of the detector
performance in terms of $b$-tagging and particle flow is investigated.


title: A Note on Testing of Hypothesis

abstract:
  In this paper, a problem of testing is discussed when the samples have been
drawn from the normal distribution. The study of hypothesis testing is also
extended to Baye's set up.


title: Structure of chalcogenide glasses by neutron diffraction

abstract:
  The purpose of this work is to study the change in the structure of the Ge-Se
network upon doping with Ag. The total structure factor S(Q) for two samples
has been measured by neutron diffraction using the two-axis diffractometer
dedicated to structural studies of amorphous materials, D4, at the Institut
Laue Langevin. We have derived the corresponding radial distribution functions
for each sample and each temperature, which gives us an insight about the
composition and temperature dependence of the correlation distances and
coordination numbers in the short-range. Our results are compatible with the
presence of both GeSe4/2 tetrahedra and Se-Se bonds. The Ag atoms are linked to
Se in a triangular environment. Numerical simulations allowing the
identification of the main peaks in the total pair correlation functions have
complemented the neutron diffraction measurements.


title:
Kinetics of crystallization of FeB-based amorphous alloys studied by
  neutron thermo-diffractometry

abstract:
  Kinetics of crystallization of two amorphous alloys, Fe70Cr10B20 and
Fe80Zr10B10, have been followed up by neutron thermodiffractometry experiments
performed in the two axis diffractometer D20 (ILL, Grenoble). The structural
changes are directly correlated with the temperature dependence of the
magnetization. Fe70Cr10B20 crystallizes following a two-step process: an
eutectic crystallization of alfa-Fe (bcc) and the metastable tetragonal phase
(Fe0.8Cr0.2)3B followed by another eutectic transformation to the stable phase
(Fe0.75Cr0.25)2B and more segregation of alfa-Fe. These tetragonal phases are
magnetically anisotropic, giving rise to a large increase of the coercivity.
This behaviour is similar to that of Fe80B20 alloys, with Cr atoms replacing
the Fe positions in both crystalline phases. Fe80Zr10B10 shows also a two-step
process in which two polymorphic transformations take place.


title: The rotation curves of flattened Sersic bulges

abstract:
  I present a method to deproject the observed intensity profile of an
axisymmetric bulge with arbitrary flattening to derive the 3D luminosity
density profile and to calculate the contribution of the bulge to the rotation
curve. I show the rotation curves for a family of fiducial bulges with Sersic
surface brightness profiles and with various concentrations and intrinsic axis
ratios. Both parameters have a profound impact on the shape of the rotation
curve. In particular, I show how the peak rotation velocity, as well as the
radius where it is reached, depend on both parameters.
  I also discuss the implications of the flattening of a bulge for the
decomposition of a rotation curve and use the case of NGC 5533 to show the
errors that result from neglecting it. For NGC 5533, neglecting the flattening
of the bulge leads to an overestimate of its mass-to-light ratio by
approximately 30% and an underestimate of the contributions from the stellar
disc and dark matter halo in the regions outside the bulge-dominated area.


title:
Spectroscopic ages and metallicities of stellar populations: validation
  of full spectrum fitting

abstract:
  Fitting whole spectra at intermediate spectral resolution (R = 1000 -- 3000),
to derive physical properties of stellar populations, appears as an optimized
alternative to methods based on spectrophotometric indices: it uses all the
redundant information contained in the signal. This paper addresses the
validation of the method and it investigates the quality of the population
models together with the reliability of the fitting procedures. We are using
two algorithms: STECKMAP, a non-parametric regularized program and NBURSTS a
parametric non-linear minimization. We compare three spectral synthesis models
for single stellar populations: Pegase-HR, Galaxev (BC03) and Vazdekis/Miles,
and we analyse spectra of Galactic clusters whose populations are known from
studies of color-magnitude diagrams (CMD) and spectroscopy of individual stars.
We find that: (1) The quality of the models critically depends on the stellar
library they use. Pegase-HR and Vazdekis/Miles are consistent, while the
comparison between Pegase-HR and BC03 shows some systematics reflecting the
limitations of the stellar library (STELIB) used to generate the latter models;
(2) The two fitting programs are consistent; (3) For globular clusters and M67
spectra, the method restitutes metallicities in agreement with spectroscopy of
stars within 0.14 dex; (4) The spectroscopic ages are very sensitive to the
presence of a blue horizontal branch (BHB) or of blue stragglers. A BHB
morphology results in a young SSP-equivalent age. Fitting a free amount of blue
stars in addition to the SSP model to mimic the BHB improves and stabilizes the
fit and restores ages in agreement with CMDs studies. This method is
potentially able to disentangle age or BHB effects in extragalactic clusters.


title:
Quantum-Gravity Decoherence Effects in Neutrino Oscillations: Expected
  Constraints from CNGS and J-PARC

abstract:
  Quantum decoherence, the evolution of pure states into mixed states, may be a
feature of quantum-gravity models. In most cases, such models lead to fewer
neutrinos of all active flavours being detected in a long baseline experiment
as compared to three-flavour standard neutrino oscillations. We discuss the
potential of the CNGS and J-PARC beams in constraining models of
quantum-gravity induced decoherence using neutrino oscillations as a probe. We
use as much as possible model-independent parameterizations, even though they
are motivated by specific microscopic models, for fits to the expected
experimental data which yield bounds on quantum-gravity decoherence parameters.


title: Inequalities and Ehrhart $\delta$-Vectors

abstract:
  For any lattice polytope $P$, we consider an associated polynomial
$\bar{\delta}_{P}(t)$ and describe its decomposition into a sum of two
polynomials satisfying certain symmetry conditions. As a consequence, we
improve upon known inequalities satisfied by the coefficients of the Ehrhart
$\delta$-vector of a lattice polytope. We also provide combinatorial proofs of
two results of Stanley that were previously established using techniques from
commutative algebra. Finally, we give a necessary numerical criterion for the
existence of a regular unimodular lattice triangulation of the boundary of a
lattice polytope.


title: Cyclotomic Solomon Algebras

abstract:
  This paper introduces an analogue of the Solomon descent algebra for the
complex reflection groups of type $G(r,1,n)$. As with the Solomon descent
algebra, our algebra has a basis given by sums of `distinguished' coset
representatives for certain `reflection subgroups'. We explicitly describe the
structure constants with respect to this basis and show that they are
polynomials in $r$. This allows us to define a deformation, or $q$-analogue, of
these algebras which depends on a parameter $q$. We determine the irreducible
representations of all of these algebras and give a basis for their radicals.
Finally, we show that the direct sum of cyclotomic Solomon algebras is
canonically isomorphic to a concatenation Hopf algebra.


title: Groups not acting on manifolds

abstract:
  In this article we collect a series of observations that constrain actions of
many groups on compact manifolds. In particular, we show that "generic"
finitely generated groups have no smooth volume preserving actions on compact
manifolds while also producing many finitely presented, torsion free groups
with the same property.


title: Scale invariability

abstract:
  I recently demonstrated that the Earth is a mechanical oscillator in which
springtide induced magnification of all-masses resonance forces tectonics. I
here generalize this georesonator concept so to make it apply to any body,
anywhere in all the universes, and at all times. It turns out that there is no
distinction between physics at intergalactic, mechanist, quantum, and smaller
scales. Instead of being a constant (of proportionality of physics at all
scales), G is a parameter of most general form: G = s e^2, nonlinearly varying
amongst different scales s. The so called scale variability of physics but not
of G, imagined as such by Planck and Einstein, is due to springtide-induced
extreme resonance of Earth masses critically impeding terrestrial experiments
for estimating G, while providing artificial settings for quantum experiments
to all trivially "work". Thus the derived equation is that of levitation.
Reality is a system of near infinitely many magnifying oscillators, where
permanent energy decay of all oscillation forbids constancy of known "physical
constants". This hyperresonator concept explains the magnetism (as every forced
oscillator feature), as well as the gravitation (as forward propagation of
mechanical vibrations along the aether i.e. throughout the vacuum structure).
To test my claim I propose a Space mission to collect on site measurements of
eigenperiods of the Sun, its planets, and their satellites. The levitation
equitation enables propulsionless Space travel via gravity sailing: Space
vehicle hull ought to be engineered so as to automatically adjust its grave
mode, to the vehicle instant gravitational surroundings, akin to trout up
swimming.


title: Search for excited electrons in ppbar collisions at sqrt(s) = 1.96 TeV

abstract:
  We present the results of a search for the production of an excited state of
the electron, e*, in proton-antiproton collisions at sqrt(s) = 1.96 TeV. The
data were collected with the D0 experiment at the Fermilab Tevatron Collider
and correspond to an integrated luminosity of approximately 1 fb^-1. We search
for e* in the process ppbar -> e* e, with the e* subsequently decaying to an
electron plus photon. No excess above the standard model background is
observed. Interpreting our data in the context of a model that describes e*
production by four-fermion contact interactions and e* decay via electroweak
processes, we set 95% C.L. upper limits on the production cross section ranging
from 8.9 fb to 27 fb, depending on the mass of the excited electron. Choosing
the scale for contact interactions to be Lambda = 1 TeV, excited electron
masses below 756 GeV are excluded at the 95% C.L.


title:
Spectropolarimetry of the Massive Post-Red Supergiants IRC +10420 and HD
  179821

abstract:
  We present medium resolution spectropolarimetry and long term
photo-polarimetry of two massive post-red supergiants, IRC +10420 and HD
179821. The data provide new information on their circumstellar material as
well as their evolution. In IRC +10420, the polarization of the Halpha line is
different to that of the continuum, which indicates that the
electron-scattering region is not spherically symmetric. The observed long term
changes in the polarimetry can be associated with an axi-symmetric structure,
along the short axis of the extended reflection nebulosity. Long term
photometry reveals that the star increased in temperature until the
mid-nineties, after which the photospheric flux in the optical levelled off. As
the photometric changes are mostly probed in the red, they do not trace high
stellar temperatures sensitively. And so, it is not obvious whether the star
has halted its increase in temperature or not. For HD 179821 we find no
polarization effects across any absorption or emission lines, but observe very
large polarization changes of order 5% over 15 years. Unexpectedly, during the
same period, the optical photometry displayed modest variability at the 0.2
magnitude level. Several explanations for this puzzling fact are discussed.
Most of which, involving asymmetries in the circumstellar material, seem to
fail as there is no evidence for the presence of hot, dusty material close to
the star. Alternatively, the variations can be explained by the presence of a
non-radially pulsating photosphere. Changes in the photometry hint at an
increase in temperature corresponding to a change through two spectral
subclasses over the past ten years.


title: Predicting the Lambda binding energy in nuclear matter

abstract:
  The purpose of this note is to report predictions of the binding energy of
the $\Lambda$ hyperon in nuclear matter using the latest version of the Juelich
nucleon-nucleon meson-exchange potential. Results from a conventional Brueckner
calculation are compared with previously reported values. A calculation
including Dirac effects on the $\Lambda$ single-particle potential is also
presented. Issues encountered in Dirac calculations with nucleon-hyperon
potentials are discussed.


title:
An Efficient Method for Quantum Transport Calculations in Nanostructures
  using Full Band Structure

abstract:
  Scaling of semiconductor devices has reached a stage where it has become
absolutely imperative to consider the quantum mechanical aspects of transport
in these ultra small devices. In these simulations, often one excludes a
rigorous band structure treatment, since it poses a huge computational
challenge. We have proposed here an efficient method for calculating full
three-dimensionally coupled quantum transport in nanowire transistors including
full band structure. We have shown the power of the method by simulating hole
transport in p-type Ge nanowire transistors. The hole band structure obtained
from our nearest neighbor sp3s* tight binding Hamiltonian agrees well
qualitatively with more complex and accurate calculations that take third
nearest neighbors into account. The calculated I-V results show how shifting of
the energy bands due to confinement can be accurately captured only in a full
band full quantum simulation.


title:
High-visibility multi-photon interference of Hanbury Brown - Twiss type
  for classical light

abstract:
  Difference-phase (or Hanbury Brown - Twiss type) intensity interference of
classical light is considered in higher orders in the intensity. It is shown
that, while the visibility of sum-phase (NOON-type) interference for classical
sources drops with the order of interference, the visibility of
difference-phase interference has opposite behavior. For three-photon and
four-photon interference of two coherent sources, the visibility can be as high
as 81.8% and 94.4%, respectively. High-visibility three-photon and four-photon
interference of space-time and polarization types has been observed in
experiment, for both coherent and pseudo-thermal light.


title: Call-by-value Termination in the Untyped lambda-calculus

abstract:
  A fully-automated algorithm is developed able to show that evaluation of a
given untyped lambda-expression will terminate under CBV (call-by-value). The
``size-change principle'' from first-order programs is extended to arbitrary
untyped lambda-expressions in two steps. The first step suffices to show CBV
termination of a single, stand-alone lambda;-expression. The second suffices to
show CBV termination of any member of a regular set of lambda-expressions,
defined by a tree grammar. (A simple example is a minimum function, when
applied to arbitrary Church numerals.) The algorithm is sound and proven so in
this paper. The Halting Problem's undecidability implies that any sound
algorithm is necessarily incomplete: some lambda-expressions may in fact
terminate under CBV evaluation, but not be recognised as terminating.
  The intensional power of the termination algorithm is reasonably high. It
certifies as terminating many interesting and useful general recursive
algorithms including programs with mutual recursion and parameter exchanges,
and Colson's ``minimum'' algorithm. Further, our type-free approach allows use
of the Y combinator, and so can identify as terminating a substantial subset of
PCF.


title: Visual Explorations of Dynamics: the Standard Map

abstract:
  The Macintosh application \textit{StdMap} allows easy exploration of many of
the phenomena of area-preserving mappings. This tutorial explains some of these
phenomena and presents a number of simple experiments centered on the use of
this program.


title:
Instant Evaluation and Demystification of $\zeta(n),L(n,\chi)$ that
  Euler,Ramanujan Missed - I

abstract:
  For Hurwitz Zeta function,we consider its Taylor series expansion about
various points as an analytic function of second variable in appropriate
discs.We show that these Taylor are all polynomials in second variable for a
non positive integral argument in first variable.On using functionalequations
this results in instant evaluation of Riemann Zeta function at positive even
integral values of its argument and of Dirichlet L series at positive integral
values of its argument,when the argument and the corresponding Dirichlet
character are both even or both odd.We also obtain finite sum expression for
any Dirichlet L series,when its argument is one.We also deal with Lerch's Zeta
function on similar lines.


title:
Early formation of galaxies initiated by clusters of primordial black
  holes

abstract:
  Model of supermassive black holes formation inside the clusters of primordial
black holes is developed. Namely, it is supposed, that some mass fraction of
the universe ~10^-3 is composed of the compact clusters of primordial (relic)
black holes, produced during phase transitions in the early universe. These
clusters are the centers of dark matter condensation. We model the formation of
protogalaxies with masses about 2*10^8M_sun at the redshift z=15. These induced
protogalaxies contain central black holes with mass ~10^5M_sun and look like
dwarf spheroidal galaxies with central density spike. The subsequent merging of
induced protogalaxies and ordinary dark matter haloes corresponds to the
standard hierarchical clustering scenario of large-scale structure formation.
The coalescence of primordial black holes results in formation of supermassive
black holes in the galactic centers. As a result, the observed correlation
between the masses of central black holes and velocity dispersion in the
galactic bulges is reproduced.


title:
Voltage control of magnetocrystalline anisotropy in ferromagnetic -
  semiconductor/piezoelectric hybrid structures

abstract:
  We demonstrate dynamic voltage control of the magnetic anisotropy of a
(Ga,Mn)As device bonded to a piezoelectric transducer. The application of a
uniaxial strain leads to a large reorientation of the magnetic easy axis which
is detected by measuring longitudinal and transverse anisotropic
magnetoresistance coefficients. Calculations based on the mean-field
kinetic-exchange model of (Ga,Mn)As provide microscopic understanding of the
measured effect. Electrically induced magnetization switching and detection of
unconventional crystalline components of the anisotropic magnetoresistance are
presented, illustrating the generic utility of the piezo voltage control to
provide new device functionalities and in the research of micromagnetic and
magnetotransport phenomena in diluted magnetic semiconductors.


title:
A Dynamical Model for Information Retrieval and Emergence of Scale-Free
  Clusters in a Long Term Memory Network

abstract:
  The classical forms of knowledge representation fail when a strong dynamical
interconnection between system and environment comes into play. We propose here
a model of information retrieval derived from the Kintsch-Ericsson scheme,
based upon a long term memory (LTM) associative net whose structure changes in
time according to the textual content of the analyzed documents. Both the
theoretical analysis carried out by using simple statistical tools and the
tests show the appearing of typical power-laws and the net configuration as a
scale-free graph. The information retrieval from LTM shows that the entire
system can be considered to be an information amplifier which leads to the
emergence of new cognitive structures. It has to be underlined that the
expanding of the semantic domain regards the user-network as a whole system.


title: Orbital ordering and frustration of $p$-band Mott-insulators

abstract:
  We investigate the general structure of orbital exchange physics in
Mott-insulating states of $p$-orbital systems in optical lattices. Orbital
orders occur in both the triangular and Kagome lattices. In contrast, orbital
exchange in the honeycomb lattice is frustrated as described by a novel quantum
120$^\circ$-model. Its classical ground states are mapped into configurations
of the fully-packed loop model with an extra U(1) rotation degree of freedom.
Quantum orbital fluctuations select a six-site plaquette ground state ordering
pattern in the semiclassical limit from the ``order from disorder'' mechanism.
This effect arises from the appearance of a zero energy flat-band of orbital
excitations.


title: Black holes can have curly hair

abstract:
  We study equilibrium conditions between a static, spherically symmetric black
hole and classical matter in terms of the radial pressure to density ratio
p_r/\rho = w(u), where u is the radial coordinate. It is shown that such an
equilibrium is possible in two cases: (i) the well-known case w\to -1 as $u\to
u_h (the horizon), i.e., "vacuum" matter, for which \rho(u_h) can be nonzero;
(ii) w \to -1/(1+2k) and \rho \sim (u-u_h)^k as u\to u_h, where k>0 is a
positive integer (w=-1/3 in the generic case k=1). A non-interacting mixture of
these two kinds of matter can also exist. The whole reasoning is local, hence
the results do not depend on any global or asymptotic conditions. They mean, in
particular, that a static black hole cannot live inside a star with nonnegative
pressure and density. As an example, an exact solution for an isotropic fluid
with w = -1/3 (that is, a fluid of disordered cosmic strings), with or without
vacuum matter, is presented.


title:
A Narration is Not an Equation: Metaphysical Principals of Standard
  Cosmology

abstract:
  In this paper the author maintains that the Standard Cosmology is not a
Physical Theory. The Standard Cosmology is a narration similar to the
historical or mythical narratives constructed from the Physical Sciences data.
Also the author maintains that this theory is founded on Philosophical
principles which are aliens to the Physical Theory, as the Principle of
Sufficient Reason. The author porpoise a new cosmological model based more on
eventuality than in necessity.


title: Elliptic integral evaluations of Bessel moments

abstract:
  We record what is known about the closed forms for various Bessel function
moments arising in quantum field theory, condensed matter theory and other
parts of mathematical physics. More generally, we develop formulae for
integrals of products of six or fewer Bessel functions. In consequence, we are
able to discover and prove closed forms for $c_{n,k}:=\int_0^\infty t^k
K_0^n(t) {\rm d}t$ with integers $n=1,2,3,4$ and $k\ge0$, obtaining new results
for the even moments $c_{3,2k}$ and $c_{4,2k}$. We also derive new closed forms
for the odd moments $s_{n,2k+1}:=\int_0^\infty t^{2k+1}I_0^{}(t) K_0^{n-1}(t)
{\rm d}t$ with $n=3,4$ and for $t_{n,2k+1}:=\int_0^\infty t^{2k+1}I_0^2(t)
K_0^{n-2}(t) {\rm d}t$ with $n=5$, relating the latter to Green functions on
hexagonal, diamond and cubic lattices. We conjecture the values of
$s_{5,2k+1}$, make substantial progress on the evaluation of $c_{5,2k+1}$,
$s_{6,2k+1}$ and $t_{6,2k+1}$ and report more limited progress regarding
$c_{5,2k}$, $c_{6,2k+1}$ and $c_{6,2k}$. In the process, we obtain 8
conjectural evaluations, each of which has been checked to 1200 decimal places.
One of these lies deep in 4- dimensional quantum field theory and two are
probably provable by delicate combinatorics. There remains a hard core of five
conjectures whose proofs would be most instructive, to mathematicians and
physicists alike.


title: Gauge Fields and Unparticles

abstract:
  We show that a rigorous path integral method of introducing gauge fields in
the UnParticle lagrangian leads to somewhat different and more complicated
vertexes than those currently used.


title:
The Crab Nebula's Dynamical Age as Measured from its Northern
  Filamentary Jet

abstract:
  We present a deep [O III] 4959,5007 image of the northern filamentary jet in
the Crab Nebula taken with the 8.2m Subaru telescope. Using this image and an
image taken with the KPNO 4m in 1988 (Fesen & Staker 1993), we have computed
proper motions for 35 locations in the jet. The results suggest that when
compared to the main body of the remnant, the jet experienced less outward
acceleration from the central pulsar's rapidly expanding synchrotron nebula.
The jet's apparent expansion rate yields an undecelerated explosion date for
the Crab Nebula of 1055 plus or minus 24 C.E., a date much closer to the
appearance of the historic 1054 C.E. guest star than the 1120 - 1140 C.E. dates
estimated in previous studies using filaments located within the remnant's main
nebula. Our proper motion measurements suggest the jet likely formed during the
1054 supernova explosion and represents the remnant's highest velocity knots
possibly associated with a suspected N-S bipolar outflow from the supernova
explosion.


title:
Investigation of Micro Porosity Sintered wick in Vapor Chamber for Fan
  Less Design

abstract:
  Micro Porosity Sintered wick is made from metal injection molding processes,
which provides a wick density with micro scale. It can keep more than 53 %
working fluid inside the wick structure, and presents good pumping ability on
working fluid transmission by fine infiltrated effect. Capillary pumping
ability is the important factor in heat pipe design, and those general
applications on wick structure are manufactured with groove type or screen
type. Gravity affects capillary of these two types more than a sintered wick
structure does, and mass heat transfer through vaporized working fluid
determines the thermal performance of a vapor chamber. First of all, high
density of porous wick supports high transmission ability of working fluid. The
wick porosity is sintered in micro scale, which limits the bubble size while
working fluid vaporizing on vapor section. Maximum heat transfer capacity
increases dramatically as thermal resistance of wick decreases. This study on
permeability design of wick structure is 0.5 - 0.7, especially permeability (R)
= 0.5 can have the best performance, and its heat conductivity is 20 times to a
heat pipe with diameter (Phi) = 10mm. Test data of this vapor chamber shows
thermal performance increases over 33 %.


title:
Investigation of $B_{u,d}\to (\pi, K) \pi$ decays within unparticle
  physics

abstract:
  We investigate the implication of unparticle physics on the B_{u,d}\to (\pi,
K) \pi decays under the constraints of the B_{d,s}-\bar B_{d,s} mixing. We
found that not only the unparticle parameters that belong to the flavor
changing neutral current (FCNC) processes but also scaling dimension d_{\UP}
could be constrained by the B_{d,s}-\bar B_{d,s} mixing phenomenology.
Employing the minimum \chi^2 analysis to the B_{u,d}\to (\pi, K) \pi decays
with the constraints of B_{d,s} mixing, we find that the puzzle of large
branching ratio for B_{d}\to \pi^0 \pi^0 and the discrepancy between the
standard model estimation and data for the direct CP asymmetry of B^+ \to K^+
\pi^0 and B_d \to \pi^+\pi^- can be resolved well. However, the mixing induced
CP asymmetry of B_d\to K_S \pi^0 could not be well accommodated by the
unparticle contributions.


title:
Deformation of Curved BPS Domain Walls and Supersymmetric Flows on 2d
  K\"ahler-Ricci Soliton

abstract:
  We consider some aspects of the curved BPS domain walls and their
supersymmetric Lorentz invariant vacua of the four dimensional N=1 supergravity
coupled to a chiral multiplet. In particular, the scalar manifold can be viewed
as a two dimensional K\"ahler-Ricci soliton generating a one-parameter family
of K\"ahler manifolds evolved with respect to a real parameter, $\tau$. This
implies that all quantities describing the walls and their vacua indeed evolve
with respect to $\tau$. Then, the analysis on the eigenvalues of the first
order expansion of BPS equations shows that in general the vacua related to the
field theory on a curved background do not always exist. In order to verify
their existence in the ultraviolet or infrared regions one has to perform the
renormalization group analysis. Finally, we discuss in detail a simple model
with a linear superpotential and the K\"ahler-Ricci soliton considered as the
Rosenau solution.


title:
A more accurate treatment of the problem of drawing the shortest line on
  a surface

abstract:
  E727 in the Enestrom index. This is a translation from the Latin original
"Accuratior evolutio problematis de linea brevissima in superficie quacunque
ducenda" (1779). Given a surface $pdx+qdy+rdz=0$, Euler wants to develop
equations that give the geodesics on this surface. I am new to the calculus of
variations, so it is not clear to me what steps follow from results that are
previously known (like the Euler-Lagrange equation in the calculations) and
what steps follow from earlier in this paper. I would appreciate comments from
any readers who are familiar with calculus of variations.


title: Seismic Emissions from a Highly Impulsive M6.7 Solar Flare

abstract:
  On 10 March 2001 the active region NOAA 9368 produced an unusually impulsive
solar flare in close proximity to the solar limb. This flare has previously
been studied in great detail, with observations classifying it as a type 1
white-light flare with a very hard spectrum in hard X-rays. The flare was also
associated with a type II radio burst and coronal mass ejection. The flare
emission characteristics appeared to closely correspond with previous instances
of seismic emission from acoustically active flares. Using standard local
helioseismic methods, we identified the seismic signatures produced by the
flare that, to date, is the least energetic (in soft X-rays) of the flares
known to have generated a detectable acoustic transient. Holographic analysis
of the flare shows a compact acoustic source strongly correlated with the
impulsive hard X-ray, visible continuum, and radio emission. Time-distance
diagrams of the seismic waves emanating from the flare region also show faint
signatures, mainly in the eastern sector of the active region. The strong
spatial coincidence between the seismic source and the impulsive visible
continuum emission reinforces the theory that a substantial component of the
seismic emission seen is a result of sudden heating of the low photosphere
associated with the observed visible continuum emission. Furthermore, the
low-altitude magnetic loop structure inferred from potential--field
extrapolations in the flaring region suggests that there is a significant
inverse correlation between the seismicity of a flare and the height of the
magnetic loops that conduct the particle beams from the corona.


title:
Study of Water Speed Sensitivity in a Multifunctional Thick-film Sensor
  by Analytical Thermal Simulations and Experiments

abstract:
  The present paper deals with an application of the analytical thermal
simulator DJOSER. It consist of the characterization of a water speed sensor
realized in hybrid technology. The capability of the thermal solver to manage
the convection heat exchange and the effects of the passivating layers make the
simulation work easy and fast.


title:
Self-force on extreme mass ratio inspirals via curved spacetime
  effective field theory

abstract:
  In this series we construct an effective field theory (EFT) in curved
spacetime to study gravitational radiation and backreaction effects. We begin
in this paper with a derivation of the self-force on a compact object moving in
the background spacetime of a supermassive black hole. The EFT approach
utilizes the disparity between two length scales, which in this problem are the
size of the compact object and the radius of curvature of the background
spacetime, to treat the orbital dynamics of the compact object, described as an
effective point particle, separately from its tidal deformations. Ultraviolet
divergences are regularized using Hadamard's {\it partie finie} to isolate the
non-local finite part from the quasi-local divergent part. The latter is
constructed from a momentum space representation for the graviton retarded
propagator and is evaluated using dimensional regularization in which only
logarithmic divergences are relevant for renormalizing the parameters of the
theory. As a first important application of this framework we explicitly derive
the first order self-force given by Mino, Sasaki, Tanaka, Quinn and Wald. Going
beyond the point particle approximation, to account for the finite size of the
object, we demonstrate that for extreme mass ratio inspirals the motion of a
compact object is affected by tidally induced moments at $O(\epsilon^4)$, in
the form of an Effacement Principle. The relatively large radius-to-mass ratio
of a white dwarf star allows for these effects to be enhanced until the white
dwarf becomes tidally disrupted, a potentially $O(\epsilon^2)$ process, or
plunges into the supermassive black hole. This work provides a new foundation
for further exploration of higher order self force corrections, gravitational
radiation and spinning compact objects.


title: The Quantum Spin Hall Effect: Theory and Experiment

abstract:
  The search for topologically non-trivial states of matter has become an
important goal for condensed matter physics. Recently, a new class of
topological insulators has been proposed. These topological insulators have an
insulating gap in the bulk, but have topologically protected edge states due to
the time reversal symmetry. In two dimensions the helical edge states give rise
to the quantum spin Hall (QSH) effect, in the absence of any external magnetic
field. Here we review a recent theory which predicts that the QSH state can be
realized in HgTe/CdTe semiconductor quantum wells. By varying the thickness of
the quantum well, the band structure changes from a normal to an "inverted"
type at a critical thickness $d_c$. We present an analytical solution of the
helical edge states and explicitly demonstrate their topological stability. We
also review the recent experimental observation of the QSH state in
HgTe/(Hg,Cd)Te quantum wells. We review both the fabrication of the sample and
the experimental setup. For thin quantum wells with well width $d_{QW}< 6.3$
nm, the insulating regime shows the conventional behavior of vanishingly small
conductance at low temperature. However, for thicker quantum wells ($d_{QW}>
6.3$ nm), the nominally insulating regime shows a plateau of residual
conductance close to $2e^2/h$. The residual conductance is independent of the
sample width, indicating that it is caused by edge states. Furthermore, the
residual conductance is destroyed by a small external magnetic field. The
quantum phase transition at the critical thickness, $d_c= 6.3$ nm, is also
independently determined from the occurrence of a magnetic field induced
insulator to metal transition.


title: An analytic study of the tricritical line in the U(Nf)xU(Nf) sigma model

abstract:
  The tricritical line of the first-order chiral phase transition is
investigated in the U(Nf)xU(Nf) sigma model by means of the ring improved
one-loop finite temperature effective potential. To locate the tricritical line
in the space of the coupling constants, we expand the effective potential up to
third order in the high temperature expansion, and up to sixth order in the
order parameter expansion. In this approximation, the tricritical line can be
evaluated to the lowest order of the coupling constants and it follows an
analytic relation between the tree-level masses of the scalar bosons. The
validity of the high temperature expansion, the order parameter expansion, and
the ring improved perturbation is critically examined. This result does not
alter if one includes the massless fermions with the small Yukawa couplings.


title:
Gelfand-Kirillov Conjecture and Harish-Chandra Modules for Finite
  W-Algebras

abstract:
  We address two problems regarding the structure and representation theory of
finite W-algebras associated with the general linear Lie algebras. Finite
W-algebras can be defined either via the Whittaker model of Kostant or,
equivalently, by the quantum Hamiltonian reduction. Our first main result is a
proof of the Gelfand-Kirillov conjecture for the skew fields of fractions of
the finite W-algebras. The second main result is a parametrization of finite
families of irreducible Harish-Chandra modules by the characters of the
Gelfand-Tsetlin subalgebra. As a corollary, we obtain a complete classification
of generic irreducible Harish-Chandra modules for the finite W-algebras.


title: Characteristic classes of $\ai$-algebras

abstract:
  Standard combinatorial construction, due to Kontsevich, associates to any
$\ai$-algebra with an invariant inner product, an inhomogeneous class in the
cohomology of the moduli spaces of Riemann surfaces with marked points. We
propose an alternative version of this construction based on noncommutative
geometry and use it to prove that homotopy equivalent algebras give rise to the
same cohomology classes. Along the way we re-prove Kontsevich's theorem
relating graph homology to the homology of certain infinite dimensional Lie
algebras. An application to topological conformal field theories is given.


title:
Cosmological Solutions with Torsion in a Model of de Sitter Gauge Theory
  of Gravity

abstract:
  The torsion is shown to be vitally important in the explanation of the
evolution of the universe in a large class of gravitational theories containing
quadratic terms of curvature and torsion. The cosmological solutions with
homogeneous and isotropic torsion in a model of de Sitter gauge theory of
gravity are presented, which may explain the observation data for SN Ia when
parameters are suitably chosen and supply a natural transit from decelerating
expansion to accelerating expansion without the help of the introduction of
other strange fields in the theory.


title:
Collective plasmonic modes of metal nano-particles in two-dimensional
  periodic regular arrays

abstract:
  We investigate the collective plasmonic modes of metal nano-particles in
periodic two-dimensional (2D) arrays within a point-dipole description. As an
open system, the full-dynamic dispersion relations of the 2D arrays are
obtained through an efficient method which gives an effective polarizability
describing the collective response of a system. Both the dispersion relations
and mode qualities are simultaneously related to the imaginary part of the
effective polarizability, which has contributions from the single-particle
response as well as the inter-particle coupling. The transversal long-range
dipolar interaction is dominated by a wave term together with a purely
geometrical constant representing the static geometrical contribution to
resonant frequencies. As concrete examples, we considered small Ag spheres
arranged in a square lattice. We find that inside the light-cone, the
transverse quasi-mode has a reasonably high mode quality while the two in-plane
modes show significant radiation damping. Near the light-line, we observe
strong coupling with free photons for the bands of the transverse mode and the
transversal in-plane mode, and the longitudinal in-plane mode exhibits a
negative group-velocity inside the light-cone. Vanishing group velocities in
the light-cone for all the quasi-modes are found to be intrinsic properties of
the 2D metal nano-sphere dense arrays.


title: Photophoretic Structuring of Circumstellar Dust Disks

abstract:
  We study dust accumulation by photophoresis in optically thin gas disks.
Using formulae of the photophoretic force that are applicable for the free
molecular regime and for the slip-flow regime, we calculate dust accumulation
distances as a function of the particle size. It is found that photophoresis
pushes particles (smaller than 10 cm) outward. For a Sun-like star, these
particles are transported to 0.1-100 AU, depending on the particle size, and
forms an inner disk. Radiation pressure pushes out small particles (< 1 mm)
further and forms an extended outer disk. Consequently, an inner hole opens
inside ~0.1 AU. The radius of the inner hole is determined by the condition
that the mean free path of the gas molecules equals the maximum size of the
particles that photophoresis effectively works on (100 micron - 10 cm,
depending on the dust property). The dust disk structure formed by
photophoresis can be distinguished from the structure of gas-free dust disk
models, because the particle sizes of the outer disks are larger, and the inner
hole radius depends on the gas density.


title: A genuine four-partite entangled state

abstract:
  In a recent paper, a genuine four-partite entangled state is proposed [Y. Yeo
and W. K. Chua, Phys. Rev. Lett. 96, 060502 (2006)], which has been found to
have many interesting entanglement properties. We show this state is locally
equivalent to some graph states.


title:
Precise Orbital Parameters and Anomalous Phase Variations of the
  Accretion-powered Millisecond Pulsar XTE J1807-294

abstract:
  This study reports pulse variation analysis results for the forth discovered
accretion-powered millisecond pulsar XTE J1807-294 during its 2003 outburst
observed by {\it Rossi X-ray Timing Explorer}. The pulsation is significantly
detected only in the first $\sim$90d out of $\sim$150d observations. The pulse
phase variation is too complex to be described as an orbital motion plus a
simple polynomial model. The precise orbital parameters with
$P_{orb}=40.073601(8)$ min and ${\it a_x}\sin {\it i}=4.823(5)$ lt-ms were
obtained after applying the trend removal to the daily observed 150s segments
pulse phases folded with a constant spin frequency without Keplerian orbit
included. The binary barycenter corrected pulse phases show smooth evolution
and clear negative phase shifts coincident with the flares seen on the light
curve and the enhancements of fractional pulse amplitude. The non-flare pulse
phases for the first $\sim$60d data are well described as a fourth order
polynomial implying that the neutron star was spun-up during the first
$\sim$60d with a rate $\dot \nu=(1.7\pm0.3) \times 10^{-13}$ Hz/s at the
beginning of the outburst. Significant soft phase lags up to $\sim$500 $\mu s$
($\sim$10% cycle) between 2 to 20 keV were detected for the nonflare pulse
phases. We conclude that the anomalous phase shifts are unlikely due to the
accretion torque but could result from the ``hot spot'' moving on the surface
of neutron star.


title: Infrared Spectroscopic Study of a Selection of AGB and Post-AGB Stars

abstract:
  We present here near-infrared spectroscopy in the H and K bands of a
selection of nearly 80 stars that belong to various AGB types, namely S type, M
type and SR type. This sample also includes 16 Post-AGB (PAGB) stars. From
these spectra, we seek correlations between the equivalent widths of some
important spectral signatures and the infrared colors that are indicative of
mass loss. Repeated spectroscopic observations were made on some PAGB stars to
look for spectral variations. We also analyse archival SPITZER mid-infrared
spectra on a few PAGB stars to identify spectral features due to PAH molecules
providing confirmation of the advanced stage of their evolution. Further, we
model the SEDs of the stars (compiled from archival data) and compare
circumstellar dust parameters and mass loss rates in different types.
  Our near-infrared spectra show that in the case of M and S type stars, the
equivalent widths of the CO(3-0) band are moderately correlated with infrared
colors, suggesting a possible relationship with mass loss processes. A few PAGB
stars revealed short term variability in their spectra, indicating episodic
mass loss: the cooler stars showed in CO first overtone bands and the hotter
ones showed in HI Brackett lines. Our spectra on IRAS 19399+2312 suggest that
it is a transition object. From the SPITZER spectra, there seems to be a
dependence between the spectral type of the PAGB stars and the strength of the
PAH features. Modelling of SEDs showed among the M and PAGB stars that the
higher the mass loss rates, the higher the [K-12] colour in our sample.


title:
Bold diagrammatic Monte Carlo: A generic technique for polaron (and
  many-body?) problems

abstract:
  We develop a Monte Carlo scheme for sampling series of Feynman diagrams for
the proper self-energy which are self-consistently expressed in terms of
renormalized particle propagators. This approach is used to solve the problem
of a single spin-down fermion resonantly interacting with the Fermi gas of
spin-up particles. Though the original series based on bare propagators are
sign-alternating and divergent one can still determine the answer behind them
by using two strategies (separately or together): (i) using proper series
re-summation techniques, and (ii) introducing renormalized propagators which
are defined in terms of the simulated proper self-energy, i.e. making the
entire scheme self-consistent. Our solution is important for understanding the
phase diagram and properties of the BCS-BEC crossover in the strongly
imbalanced regime. On the technical side, we develop a generic sign-problem
tolerant method for exact numerical solution of polaron-type models, and,
possibly, of the interacting many-body Hamiltonians.


title:
Diophantine inequality for equicharacteristic excellent Henselian local
  domains

abstract:
  G. Rond has proved a Diophantine type inequality for the field of quotients
of the convergent or formal power series ring in multivariables. We generalize
his theorem to the field of the quotients of an excellent Henselian local
domain in equicharacteristic case.


title: High pressure-high temperature phase diagram of ammonia

abstract:
  The high pressure(P)-high temperature(T) phase diagram of solid ammonia has
been investigated using diamond anvil cell and resistive heating techniques.
The III-IV transition line has been determined up to 20 GPa and 500 K both on
compression and decompression paths. No discontinuity is observed at the
expected location for the III-IV-V triple point. The melting line has been
determined by visual observations of the fluid-solid equilibrium up to 9 GPa
and 900 K. The experimental data is well fitted by a Simon-Glatzel equation in
the covered P-T range. These transition lines and their extrapolations are
compared with reported calculations.


title:
A BGG-type resolution for tensor modules over general linear
  superalgebra

abstract:
  We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct
sums of Kac modules for the finite-dimensional irreducible tensor
representations of the general linear superalgebra. As a consequence it follows
that the unique maximal submodule of a corresponding reducible Kac module is
generated by its proper singular vector.


title:
Computation of 2-groups of narrow logarithmic divisor classes of number
  fields

abstract:
  We present an algorithm for computing the 2-group of narrow logarithmic
divisor classes of degree 0 for number fields F. As an application, we compute
in some cases the 2-rank of the wild kernel WK2(F).


title:
Sur le sous-groupe des \'el\'ements de hauteur infinie du K2 d'un corps
  de nombres

abstract:
  By using the logarithmic approach of the classical kernels for the K2 of
number fields, we compute the 2-rank of the wild kernel WK2(F) and the 2-rank
of the subgroup of infinite heigh elements in K2(F) in terms of positive class
groups for any number field F.


title: Whither Nuclear Physics ?

abstract:
  Nuclear Physics has had its ups and downs. However in recent years, bucked up
by some new and often puzzling data, it has become a potentially very rich
field. We review some of these exciting developments in a few important sectors
of nuclear physics. Emphasis shall be on the study of exotic nuclei and the new
physics that these nuclei are teaching us.


title:
The influence of net-quarks on the yields and rapidity spectra of
  identified hadrons

abstract:
  Within a quark combination model, we study systematically the yields and
rapidity spectra of various hadrons in central Au+Au collisions at
$\sqrt{s_{NN}}= 200$ GeV. We find that considering the difference in rapidity
between net-quarks and newborn quarks, the data of multiplicities, rapidity
distributions for $\pi^{\pm}$, $K^{\pm}$, $p(\bar{p})$ and, in particular the
ratios of charged antihadron to hadron as a function of rapidity, can be well
described. The effect of net-quarks on various hadrons is analysed, and the
rapidity distributions for $K^{0}_{s}$, $\Lambda(\bar{\Lambda})$,
$\Sigma^{+}(\bar{\Sigma}^{_-})$, $\mathrm{\Xi^{-}}$ ($\mathrm{\bar{\Xi}^{_+}}$)
and $\mathrm{\Omega^{-}}(\mathrm{\bar{\Omega}}^{_+})$ are predicted. We discuss
the rapidity distribution of net-baryon, and find that it reflects exactly the
energy loss of colliding nuclei.


title: Approche logarithmique des noyaux \'etales sauvages des corps de nombres

abstract:
  We study the l-part of the the wild \'etale kernels WK2i(F) of an arbitary
number field F for a given prime l in connection with the logarithmic l-class
groups. From the logarithmic arithmetic we deduce rank formulas, periodicity
and reflection theorems, triviality characterizations and various consequences.


title: G\'en\'eralisation d'un Th\'eor\`eme d'Iwasawa

abstract:
  We extend to convenient finite quotients of a noetherian Lambda-module the
classical result of K. Iwasawa giving the asymptotic expression of the l-part
of the number of ideal class groups in Zl-extensions of number fields. Then, in
the arithmetic context, we compute the three characters associated by this way
to the l-groups of T-infinitesimal S-classes in the cyclotomic tower and relate
them to the classical invariants and the decomposition characters associated to
the finite sets of places S and T. A main tool in this study is the so-called
Spiegelungssatz of Georges Gras, which exchanges (wild or tame) ramification
and decomposition. The main results of this arithmetical part extend those we
obtained with Christian Maire in a previous article. The most intricate study
of the wild contribution of the sets S and T involves a generalization of a
classical result of R. Greenberg on the genus theory of cyclotomic towers.


title:
A new Algorithm for the Computation of logarithmic l-Class Groups of
  Number Fields

abstract:
  We present an algorithm for the computation of logarithmic l-class groups of
number fields. Our principal motivation is the effective determination of the
l-rank of the wild kernel in the K-theory of number fields.


title: Estimating of $P(Y<X)$ in the Exponential case Based on Censored Samples

abstract:
  In this article, the estimation of reliability of a system is discussed
$p(y<x)$ when strength, $X$, and stress, $Y$, are two independent exponential
distribution with different scale parameters when the available data are type
II Censored sample. Different methods for estimating the reliability are
applied. The point estimators obtained are maximum likelihood estimator,
uniformly minimum variance unbiased estimator, and Bayesian estimators based on
conjugate and non informative prior distributions. A comparison of the
estimates obtained is performed. Interval estimators of the reliability are
also discussed.


title: Particle acceleration mechanisms

abstract:
  We review the possible mechanisms for production of non-thermal electrons
which are responsible for non-thermal radiation in clusters of galaxies. Our
primary focus is on non-thermal Bremsstrahlung and inverse Compton scattering,
that produce hard X-ray emission. We briefly review acceleration mechanisms and
point out that in most astrophysical situations, and in particular for the
intracluster medium, shocks, turbulence and plasma waves play a crucial role.
We consider two scenarios for production of non-thermal radiation. The first is
hard X-ray emission due to non-thermal Bremsstrahlung by nonrelativistic
particles. Non-thermal tails are produced by accelerating electrons from the
background plasma with an initial Maxwellian distribution. However, these tails
are accompanied by significant heating and they are present for a short time of
<10^6 yr, which is also the time that the tail will be thermalised. Such
non-thermal tails, even if possible, can only explain the hard X-ray but not
the radio emission which needs GeV or higher energy electrons. For these and
for production of hard X-rays by the inverse Compton model, we need the second
scenario where there is injection and subsequent acceleration of relativistic
electrons. It is shown that a steady state situation, for example arising from
secondary electrons produced from cosmic ray proton scattering by background
protons, will most likely lead to flatter than required electron spectra or it
requires a short escape time of the electrons from the cluster. An episodic
injection of relativistic electrons, presumably from galaxies or AGN, and/or
episodic generation of turbulence and shocks by mergers can result in an
electron spectrum consistent with observations but for only a short period of
less than one billion years.


title:
Spin-orbit and tensor mean-field effects on spin-orbit splitting
  including self-consistent core polarizations

abstract:
  A new strategy of fitting the coupling constants of the nuclear energy
density functional is proposed, which shifts attention from ground-state bulk
to single-particle properties. The latter are analyzed in terms of the bare
single-particle energies and mass, shape, and spin core-polarization effects.
Fit of the isoscalar spin-orbit and both isoscalar and isovector tensor
coupling constants directly to the f5/2-f7/2 spin-orbit splittings in 40Ca,
56Ni, and 48Ca is proposed as a practical realization of this new programme. It
is shown that this fit requires drastic changes in the isoscalar spin-orbit
strength and the tensor coupling constants as compared to the commonly accepted
values but it considerably and systematically improves basic single-particle
properties including spin-orbit splittings and magic-gap energies. Impact of
these changes on nuclear binding energies is also discussed.


title:
Light emission of very low density hydrogen excited by an extremely hot
  light source; applications in astrophysics

abstract:
  Stromgren studied the action of an extremely hot source on a diluted pure
hydrogen cloud; a very ionized, spherical hydrogen plasma surrounded by neutral
atomic hydrogen is formed. A relatively thin intermediate, partially ionized,
hydrogen shell, is cooled by the radiation of the atoms.
  Stromgren was unaware of that this plasma, similar to the plasma of a gas
laser, can be superradiant at several eigen frequencies of atomic hydrogen; the
superradiant rays emitted tangentially with the sphere appear resulting from a
discontinuous ring because of the competition of optical modes. The
superradiance intensely depopulates the excited levels, including the continuum
of proton-electron collisions, by cascades of transitions combined into
resonant multiphotonic transitions so that the gas is cooled brutally beyond
the radius of the Stromgren sphere.
  The extreme brightness of the rays emitted by the source allows a
multiphotonic non-resonant absorption leading in stationary states or the
ionization continuum. This absorption combines with the superradiant emissions
in a multiphotonic diffusion induced by the superradiant rays. Although its
brightness remains higher than that of the superradiant rays, the source
becomes invisible if it is observed through a small solid angle.
  The lines emitted inside the sphere are all the more weak as they arrive of
an internal area, lower in atoms, and more reddened also by a parametric
transfer of energy towards the thermal radiation catalyzed by excited atomic
hydrogen present in the sphere only.
  The Stromgren sphere appears to help to simply explain the appearance and the
spectrum of supernova 1987A.


title: The Square Cat

abstract:
  We present a simple, two dimensional example of a "cat" -- a body with zero
angular momentum that can rotate itself with no external forces. This model is
used to explain why this problem is known to be a gauge theory and to
illustrate the importance of non-commutative operators. We will also show a
comparison between the free-space "cat" in Newtonian mechanics and the same
problem in Aristotelian mechanics at low Reynolds number; this simple example
shows the analogy between (angular) momentum in Newtonian mechanics and
(torque) force in Aristotelian mechanics. We will end by pointing out a
topological invariant common to our model in free space and at low Reynolds
number.


title:
Galaxy evolution in the high redshift, colour-selected cluster RzCS 052
  at z=1.02

abstract:
  We present deep I and z' imaging of the colour-selected cluster RzCS 052 and
study the color-magnitude relation of this cluster, its scatter, the
morphological distribution on the red sequence, the luminosity and stellar mass
functions of red galaxies and the cluster blue fraction. We find that the
stellar populations of early type galaxies in this cluster are uniformly old
and that their luminosity function does not show any sign of evolution other
than the passive evolution of their stellar populations. We rule out a
significant contribution from mergers in the buildup of the red sequence of
RzCS 052. The cluster has a large (~30%) blue fraction and and we infer that
the evolution of the blue galaxies is faster than an exponentially declining
star formation model and that these objects have probably experienced starburst
episodes. Mergers are unlikely to be the driver of the observed colour
evolution, because of the measured constancy of the mass function, as derived
from near-infrared photometry of 32 clusters, including RzCS 052, presented in
a related paper. Mechanisms with clustercentric radial dependent efficiencies
are disfavored as well, because of the observed constant blue fraction with
clustercentric distance.


title:
CoRoT/ESTA-TASK 1 and TASK 3 comparison of the internal structure and
  seismic properties of representative stellar models: Comparisons between the
  ASTEC, CESAM, CLES, GARSTEC and STAROX codes

abstract:
  We compare stellar models produced by different stellar evolution codes for
the CoRoT/ESTA project, comparing their global quantities, their physical
structure, and their oscillation properties. We discuss the differences between
models and identify the underlying reasons for these differences. The stellar
models are representative of potential CoRoT targets. Overall we find very good
agreement between the five different codes, but with some significant
deviations. We find noticeable discrepancies (though still at the per cent
level) that result from the handling of the equation of state, of the opacities
and of the convective boundaries. The results of our work will be helpful in
interpreting future asteroseismology results from CoRoT.


title: Groebner bases of nested configurations

abstract:
  In this paper we introduce a new and large family of configurations whose
toric ideals possess quadratic Groebner bases. As an application, a
generalization of algebras of Segre-Veronese type will be studied.


title:
Suppression of Nonlinear Interactions in Resonant Macroscopic Quantum
  Devices : the Example of the Solid-State Ring Laser Gyroscope

abstract:
  We study the suppression of nonlinear interactions in resonant macroscopic
quantum devices in the case of the solid-state ring laser gyroscope. These
nonlinear interactions are tuned by vibrating the gain medium along the cavity
axis. Beat note occurrence under rotation provides a precise measurement of the
strength of nonlinear interactions, which turn out to vanish for some discrete
values of the amplitude of vibration. Our theoretical description, in very good
agreement with the measured data, suggests the use of a higher vibration
frequency to achieve quasi-ideal rotation sensing over a broad range of
rotation speeds. We finally underline the analogy between this device and some
other macroscopic quantum rotation sensors, such as ring-shaped superfluid
configurations, where nonlinear interactions could be tuned for example by the
use of magnetically-induced Feschbach resonance.


title:
The Asymptotic Bit Error Probability of LDPC Codes for the Binary
  Erasure Channel with Finite Iteration Number

abstract:
  We consider communication over the binary erasure channel (BEC) using
low-density parity-check (LDPC) code and belief propagation (BP) decoding. The
bit error probability for infinite block length is known by density evolution
and it is well known that a difference between the bit error probability at
finite iteration number for finite block length $n$ and for infinite block
length is asymptotically $\alpha/n$, where $\alpha$ is a specific constant
depending on the degree distribution, the iteration number and the erasure
probability. Our main result is to derive an efficient algorithm for
calculating $\alpha$ for regular ensembles. The approximation using $\alpha$ is
accurate for $(2,r)$-regular ensembles even in small block length.


title: Optimum spin-squeezing in Bose-Einstein condensates with particle losses

abstract:
  The problem of spin squeezing with a bimodal condensate in presence of
particle losses is solved analytically by the Monte Carlo wavefunction method.
We find the largest obtainable spin squeezing as a function of the one-body
loss rate, the two-body and three-body rate constants, and the s-wave
scattering length.