title: On Unparticles and B\to X_s Missing Energy

abstract:
  We analyze the inclusive decay mode $B\to X_s+{\rm Missing Energy}$ in the
unparticle model, where an unparticle can also serve as the missing energy. We
use the Heavy Quark Effective Theory in the calculation. The analytical result
of the decay width in the free quark limit and that of the differential decay
rate to the order of $1/m_b^2$ are presented. Numerical results of the
inclusive mode show interesting differences from those of the exclusive modes.
Near the lower endpoint region, the $d_{\mathcal U}<2$ unparticle has very
different behavior from the Standard Model particles.


title: Solution of a Linearized Model of Heisenberg's Fundamental Equation II

abstract:
  A linearized version of Heisenberg's fundamental equation is solved, and the
solutions satisfy the axioms of a relativistic quantum field theory with a
fundamental length.


title: An Optimal Bloom Filter Replacement Based on Matrix Solving

abstract:
  We suggest a method for holding a dictionary data structure, which maps keys
to values, in the spirit of Bloom Filters. The space requirements of the
dictionary we suggest are much smaller than those of a hashtable. We allow
storing n keys, each mapped to value which is a string of k bits. Our suggested
method requires nk + o(n) bits space to store the dictionary, and O(n) time to
produce the data structure, and allows answering a membership query in O(1)
memory probes. The dictionary size does not depend on the size of the keys.
However, reducing the space requirements of the data structure comes at a
certain cost. Our dictionary has a small probability of a one sided error. When
attempting to obtain the value for a key that is stored in the dictionary we
always get the correct answer. However, when testing for membership of an
element that is not stored in the dictionary, we may get an incorrect answer,
and when requesting the value of such an element we may get a certain random
value. Our method is based on solving equations in GF(2^k) and using several
hash functions. Another significant advantage of our suggested method is that
we do not require using sophisticated hash functions. We only require pairwise
independent hash functions. We also suggest a data structure that requires only
nk bits space, has O(n2) preprocessing time, and has a O(log n) query time.
However, this data structures requires a uniform hash functions. In order
replace a Bloom Filter of n elements with an error proability of 2^{-k}, we
require nk + o(n) memory bits, O(1) query time, O(n) preprocessing time, and
only pairwise independent hash function. Even the most advanced previously
known Bloom Filter would require nk+O(n) space, and a uniform hash functions,
so our method is significantly less space consuming especially when k is small.


title: The Szekeres Swiss Cheese model and the CMB observations

abstract:
  This paper presents the application of the Szekeres Swiss Cheese model to the
analysis of observations of the cosmic microwave background (CMB) radiation.
The impact of inhomogeneous matter distribution on the CMB observations is in
most cases studied within the linear perturbations of the Friedmann model.
However, since the density contrast and the Weyl curvature within the cosmic
structures are large, this issue is worth studying using another approach. The
Szekeres model is an inhomogeneous, non-symmetrical and exact solution of the
Einstein equations. In this model, light propagation and matter evolution can
be exactly calculated, without such approximations as small amplitude of the
density contrast. This allows to examine in more realistic manner the
contribution of the light propagation effect to the measured CMB temperature
fluctuations.
  The results of such analysis show that small-scale, non-linear
inhomogeneities induce, via Rees-Sciama effect, temperature fluctuations of
amplitude $10^{-7} - 10^{-5}$ on angular scale $\theta< 0.24^{\circ}$ ($\ell >
750$). This is still much smaller than the measured temperature fluctuations on
this angular scale.However, local and uncompensated inhomogeneities can induce
temperature fluctuations of amplitude as large as $10^{-3}$, and thus can be
responsible the low multipoles anomalies observed in the angular CMB power
spectrum.


title:
Non-equilibrium dynamics of finite-dimensional disordered systems : RG
  flow towards an "infinite disorder" fixed point at large times

abstract:
  To describe the non-equilibrium dynamics of random systems, we have recently
introduced (C. Monthus and T. Garel, arxiv:0802.2502) a 'strong disorder
renormalization' (RG) procedure in configuration space that can be defined for
any master equation. In the present paper, we analyze in details the properties
of the large time dynamics whenever the RG flow is towards some "infinite
disorder" fixed point, where the width of the renormalized barriers
distribution grows indefinitely upon iteration. In particular, we show how the
strong disorder RG rules can be then simplified while keeping their asymptotic
exactness, because the preferred exit channel out of a given renormalized
valley typically dominates asymptotically over the other exit channels. We
explain why the present approach is an explicit construction in favor of the
droplet scaling picture where the dynamics is governed by the logarithmic
growth of the coherence length $l(t) \sim (\ln t)^{1/\psi}$, and where the
statistics of barriers corresponds to a very strong hierarchy of valleys within
valleys. As an example of application, we have followed numerically the RG flow
for the case of a directed polymer in a two-dimensional random medium. The full
RG rules are used to check that the RG flow is towards some infinite disorder
fixed point, whereas the simplified RG rules allow to study bigger sizes and to
estimate the barrier exponent $\psi$ of the fixed point.


title:
Independence of Four Projective Criteria for the Weak Invariance
  Principle

abstract:
  Let $(X_i)_{i\in\Z}$ be a regular stationary process for a given filtration.
The weak invariance principle holds under the condition
$\sum_{i\in\Z}\|P_0(X_i)\|_2<\infty$ (see Hannan (1979)}, Dedecker and
Merlev\`ede (2003), Deddecker, Merlev\'ede and Voln\'y (2007)). In this paper,
we show that this criterion is independent of other known criteria: the
martingale-coboundary decomposition of Gordin (see Gordin (1969, 1973)), the
criterion of Dedecker and Rio (see Dedecker and Rio (2000)) and the condition
of Maxwell and Woodroofe (see Maxwell and Woodroofe (2000), Peligrade and Utev
(2005), Voln\'y (2006, 2007)).


title:
An explicit expansion formula for the powers of the Euler Product in
  terms of partition hook lengths

abstract:
  We discover an explicit expansion formula for the powers $s$ of the Euler
Product (or Dedekind $\eta$-function) in terms of hook lengths of partitions,
where the exponent $s$ is any complex number. Several classical formulas have
been derived for certain integers $s$ by Euler, Jacobi, Klein, Fricke, Atkin,
Winquist, Dyson and Macdonald. In particular, Macdonald obtained expansion
formulas for the integer exponents $s$ for which there exists a semi-simple Lie
algebra of dimension $s$. For the type $A_l^{(a)}$ he has expressed the
$(t^2-1)$-st power of the Euler Product as a sum of weighted integer vectors of
length $t$ for any integer $t$. Kostant has considered the general case for any
positive integer $s$ and obtained further properties.
  -----
  The present paper proposes a new approach. We convert the weighted vectors of
length $t$ used by Macdonald in his identity for type $A_l^{(a)}$ to weighted
partitions with free parameter $t$, so that a new identity on the latter
combinatorial structures can be derived without any restrictions on $t$. The
surprise is that the weighted partitions have a very simple form in terms of
hook lengths of partitions. As applications of our formula, we find some new
identities about hook lengths, including the "marked hook formula". We also
improve a result due to Kostant. The proof of the Main Theorem is based on
Macdonald's identity for $A_l^{(a)}$ and on the properties of a bijection
between $t$-cores and integer vectors constructed by Garvan, Kim and Stanton.


title:
Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold
  Atoms

abstract:
  We design an ingenious scheme to realize the Haldane's quantum Hall model
without Landau level by using ultracold atoms trapped in an optical lattice.
Three standing-wave laser beams are used to construct a wanted honeycomb
lattice, where different on-site energies in two sublattices required in the
Haldane's model can be implemented through tuning the phase of one of the laser
beams. The staggered magnetic field is generated from the Berry phase
associated with the atom moving in a region with other three standing-wave
laser beams. Moreover, we establish a relation between the Hall conductivity
and the equilibrium atomic density upon turning on a stimulated uniform
magnetic field, which enables us to detect the topological Chern number with
the density profile measurement technique that is typically used in ultracold
atoms experiments.


title: Bose-Einstein Quantum Statistics and the Ground State of Solid 4He

abstract:
  The ground state of solid $^4$He is studied using the diffusion Monte Carlo
method and a new trial wave function able to describe the supersolid. The new
wave function is symmetric under the exchange of particles and reproduces the
experimental equation of state. Results for the one-body density matrix show
the existence of off-diagonal long-range order with a very small condensate
fraction $\sim 10^{-4}$. The superfluid density of the commensurate system is
below our resolution threshold, $\rho_s/\rho < 10^{-5}$. With a 1%
concentration of vacancies the superfluid density is manifestly larger,
$\rho_s/\rho=3.2(1) \cdot 10^{-3}$.


title:
Exact Bright and Dark Spatial Soliton Solutions in Saturable Nonlinear
  Media

abstract:
  We present exact analytical bright and dark (black and grey) solitary wave
solutions of a nonlinear Schrodinger-type equation describing the propagation
of spatial beams in media exhibiting a saturable nonlinearity (such as
centrosymmetric photorefractive materials). A qualitative study of the
stationary equation is carried out together with a discussion of the stability
of the solutions.


title:
Fast Molecular-Dynamics Simulation for Ferroelectric Thin-Film
  Capacitors Using a First-Principles Effective Hamiltonian

abstract:
  A newly developed fast molecular-dynamics method is applied to BaTiO3
ferroelectric thin-film capacitors with short-circuited electrodes or under
applied voltage. The molecular-dynamics simulations based on a first-principles
effective Hamiltonian clarify that dead layers (or passive layers) between
ferroelectrics and electrodes markedly affect the properties of capacitors, and
predict that the system is unable to hop between a uniformly polarized
ferroelectric structure and a striped ferroelectric domain structure at low
temperatures. Simulations of hysteresis loops of thin-film capacitors are also
performed, and their dependence on film thickness, epitaxial constraints, and
electrodes are discussed.


title: Elko as self-interacting fermionic dark matter with axis of locality

abstract:
  We here provide further details on the construction and properties of mass
dimension one quantum fields based on Elko expansion coefficients. We show that
by a judicious choice of phases, the locality structure can be dramatically
improved. In the process we construct a fermionic dark matter candidate which
carries not only an unsuppressed quartic self interaction but also a preferred
axis. Both of these aspects are tentatively supported by the data on dark
matter.

categories: hep-th astro-ph gr-qc hep-ph math-ph math.MP


title:
Structural and 121Sb M\"ossbauer Spectroscopic Investigations of the
  Antimonide Oxides REMnSbO (RE = La, Ce, Pr, Nd, Sm, Gd, Tb) and REZnSbO (RE =
  La, Ce, Pr)

abstract:
  The quaternary antimonide oxides REMnSbO (RE = La, Ce, Pr, Nd, Sm, Gd, Tb)
and REZnSbO (RE = La, Ce, Pr) were synthesized from the RESb monoantimonides
and MnO, respectively ZnO. We report on single crystal X-ray data and a
detailed 121Sb M\"ossbauer spectroscopic investigation.


title: Constraining the mass of the GRB 030329 progenitor

abstract:
  The long-duration gamma-ray burst (GRB) 030329, associated with supernova
(SN) 2003dh, occurred inside a star-forming dwarf galaxy at redshift
$z=0.1685$. The low redshift, and a rich set of archival Hubble Space Telescope
(HST) images, makes this GRB well-suited for a detailed study of the stellar
population in the immediate vicinity of the explosion. Since the lifetime of a
star is directly tied to its mass, the age of the stellar population can be
used to put constraints on the GRB and SN progenitor mass. From the HST images
we extract the colours of the precise site from which the GRB originated, and
find that the colours are significantly different from those of the overall
host galaxy and the surrounding starburst environment. We have used spectral
evolutionary models, including nebular emission, to carefully constrain the age
of the stellar population, and hence the progenitor, at the very explosion
site. For instantaneous burst models we find that a population age of 5 Myr
best matches the data, suggesting a very massive (M > 50 M_sun) star as the
progenitor, with an upper limit of 8 Myr (M > 25 M_sun). For more extended star
formation scenarios, the inferred progenitor age is in most cases still very
young (age < 7 Myr, implying M > 25 M_sun), with an upper limit of 20 Myr (M >
12 M_sun). These age estimates are an order of magnitude lower than the ages
inferred from the overall host galaxy colours, indicating that progenitor mass
estimates based on data for spatially unresolved GRB host galaxies will in
general be of limited use. Our results are consistent with the collapsar
scenario.


title: Energy gap of the bimodal two-dimensional Ising spin glass

abstract:
  An exact algorithm is used to compute the degeneracies of the excited states
of the bimodal Ising spin glass in two dimensions. It is found that the
specific heat at arbitrary low temperature is not a self-averaging quantity and
has a distribution that is neither normal or lognormal. Nevertheless, it is
possible to estimate the most likely value and this is found to scale as L^3
T^(-2) exp(-4J/kT), for a L*L lattice. Our analysis also explains, for the
first time, why a correlation length \xi ~ exp(2J/kT) is consistent with an
energy gap of 2J. Our method allows us to obtain results for up to 10^5
disorder realizations with L <= 64. Distributions of second and third
excitations are also shown.


title:
Special Kahler Metrics on Complex Line Bundles and the Geometry of
  $K3$-Surfaces

abstract:
  We construct metrics with the holonomy group SU(2) on the tangent bundles of
weighted complex projective lines and give a geometric description of the
moduli space of special Kahler metrics on a K3-surface in the neighborhood of
the flat orbifold $T^4/Z_3$.


title: Two-magnon Raman scattering from the Cu3O4 layers in (Sr,Ba)2Cu3O4Cl2

abstract:
  (Sr$_{2}$,Ba$_{2}$)Cu$_{3}$O$_{4}$Cl$_{2}$ are antiferromagnetic insulators
which are akin to the parent compounds of the cuprate superconductors but with
two distinct magnetic ordering temperatures related to two magnetic Cu$_{I}$
and Cu$_{II}$ spin sublattices. Here we present a study of these materials by
means of Raman spectroscopy. Following the temperature and polarization
dependence of the data we readily identify two distinct features at around 3000
cm$^{-1}$ and 300 cm$^{-1}$ that are related to two-magnon scattering from the
two sublattices. The estimated spin-exchange coupling constants for the
Cu$_{I}$ and Cu$_{II}$ sublattices are found to be J$_{I}\sim$139-143(132-136)
meV and J$_{II}\sim$14(11) meV for Sr(Ba) compounds. Moreover, we observe modes
at around 480 and 445 cm$^{-1}$ for the Sr and Ba containing samples
respectively, that disappears at the ordering temperature of the Cu$_{II}$. We
argue that this modes may also be of magnetic origin and possibly related to
interband transitions between the Cu$_{I}$-Cu$_{II}$ sublattices.


title:
Interaction of the single-particle and collective degrees of freedom in
  non-magic nuclei: the role of phonon tadpole terms

abstract:
  A method of a consistent consideration of the phonon contributions to mass
and gap operators in non-magic nuclei is developed in the so-called g^2
approximation, where g is the low-lying phonon creation amplitude. It includes
simultaneous accounting for both the usual non-local terms and the phonon
tadpole ones. The relations which allow the tadpoles to be calculated without
any new parameters are derived. As an application of the results, the role of
the phonon tadpoles in the single-particle strength distribution and in the
single-particle energies and gap values has been considered. Relation to the
problem of the surface nature of pairing is discussed.


title: Elliptic curve configurations on Fano surfaces

abstract:
  The elliptic curves on a surface of general type constitute an obstruction
for the cotangent sheaf to be ample. In this paper, we give the classification
of the configurations of the elliptic curves on the Fano surface of a smooth
cubic threefold. That means that we give the number of such curves, their
intersections and a plane model. This classification is linked to the
classification of the automorphism groups of theses surfaces.


title:
An Updated Search of Steady TeV $\gamma-$Ray Point Sources in Northern
  Hemisphere Using the Tibet Air Shower Array

abstract:
  Using the data taken from Tibet II High Density (HD) Array (1997
February-1999 September) and Tibet-III array (1999 November-2005 November), our
previous northern sky survey for TeV $\gamma-$ray point sources has now been
updated by a factor of 2.8 improved statistics. From $0.0^{\circ}$ to
$60.0^{\circ}$ in declination (Dec) range, no new TeV $\gamma-$ray point
sources with sufficiently high significance were identified while the
well-known Crab Nebula and Mrk421 remain to be the brightest TeV $\gamma-$ray
sources within the field of view of the Tibet air shower array. Based on the
currently available data and at the 90% confidence level (C.L.), the flux upper
limits for different power law index assumption are re-derived, which are
approximately improved by 1.7 times as compared with our previous reported
limits.


title:
Bipotentials for non monotone multivalued operators: fundamental results
  and applications

abstract:
  This is a survey of recent results about bipotentials representing
multivalued operators. The notion of bipotential is based on an extension of
Fenchel's inequality, with several interesting applications related to non
associated constitutive laws in non smooth mechanics, such as Coulomb
frictional contact or non-associated Drucker-Prager model in plasticity.
  Relations betweeen bipotentials and Fitzpatrick functions are described.
Selfdual lagrangians, introduced and studied by Ghoussoub, can be seen as
bipotentials representing maximal monotone operators. We show that bipotentials
can represent some monotone but not maximal operators, as well as non monotone
operators.
  Further we describe results concerning the construction of a bipotential
which represents a given non monotone operator, by using convex lagrangian
covers or bipotential convex covers.


title:
Maximal Commutative Subalgebras Invariant for CP-Maps:
  (Counter-)Examples

abstract:
  We solve, mainly by counterexamples, many natural questions regarding maximal
commutative subalgebras invariant under CP-maps or semigroups of CP-maps on a
von Neumann algebra. In particular, we discuss the structure of the generators
of norm continuous semigroups on B(G) leaving a maximal commutative subalgebra
invariant and show that there exists Markov CP-semigroups on M_d without
invariant maximal commutative subalgebras for any d>2.


title: Amplification of polarization NOON states

abstract:
  NOON states are path entangled states which can be exploited to enhance phase
resolution in interferometric measurements. In the present paper we analyze the
quantum states obtained by optical parametric amplification of polarization
NOON states. First we study, theoretically and experimentally, the
amplification of a 2-photon state by a collinear Quantum Injected Optical
Parametric Amplifier (QIOPA). We compared the stimulated emission regime with
the spontaneous one, studied by Sciarrino et al. (PRA 77, 012324), finding
comparable visibilities between the two cases but an enhancement of the signal
in the stimulated case. As a second step, we show that the collinear amplifier
cannot be successfully used for amplifying N-photon states with N>2 due to the
intrinsic \lambda/4 oscillation pattern of the crystal. To overcome this
limitation, we propose to adopt a scheme for the amplification of a generic
state based on a non-collinear QIOPA and we show that the state obtained by the
amplification process preserves \lambda/N feature and exhibits a high
resilience to losses. Furthermore, an asymptotic unity visibility can be
obtained when correlation functions with sufficiently high order M are
analyzed.


title:
Statistics of the total number of collisions and the ordering time in a
  freely expanding hard-point gas

abstract:
  We consider a Jepsen gas of $N$ hard-point particles undergoing free
expansion on a line, starting from random initial positions of the particles
having random initial velocities. The particles undergo binary elastic
collisions upon contact and move freely in-between collisions. After a certain
ordering time $T_{o}$, the system reaches a ``fan'' state where all the
velocities are completely ordered from left to right in an increasing fashion
and there is no further collision. We compute analytically the distributions of
(i) the total number of collisions and (ii) the ordering time $T_{o}$. We show
that several features of these distributions are universal.


title: Coulomb scattering for scalar field in Scr\" odinger picture

abstract:
  The scattering of a charged scalar field on Coulomb potential on de Sitter
space-time is studied using the solution of the free Klein-Gordon equation. We
find that the scattering amplitude is independent of the choice of the picture
and in addition the total energy is conserved in the scattering process.


title:
Dissipative structure formation during crystallization of alloys under
  high-nonequilibrium conditions

abstract:
  The crystallization of a binary system is investigated in computer model
which takes into account a temperature dependence of diffusion coefficient and
a nonequilibrium partition of dissolved component of the alloy. The dependence
of interface velocity on an undercooling at the dendrite tip is obtained during
rapid solidification of Fe-B and Ni-B systems. The morphological transition
which is conditioned by change from a diffusion growth regime to thermal growth
at some critical undercooling is detected. This transition is characterized by
discontinuous magnification of the dendrite growth velocity. Values of a
critical undercooling and a growth velocity discontinuity depend both on a
degree of an anisotropy of a kinetic coefficient, and on difference in energies
of activation for atomic kinetics and for diffusion on an interface.


title:
Leading order analysis of neutrino induced dimuon events in the CHORUS
  experiment

abstract:
  We present a leading order QCD analysis of a sample of neutrino induced
charged-current events with two muons in the final state originating in the
lead-scintillating fibre calorimeter of the CHORUS detector. The results are
based on a sample of 8910 neutrino and 430 antineutrino induced opposite-sign
dimuon events collected during the exposure of the detector to the CERN Wide
Band Neutrino Beam between 1995 and 1998. % with $E_{\mu 1},E_{\mu 2} > 5$ GeV
and $Q^2 > 3$ GeV$^2$ collected %between 1995 and 1998. The analysis yields a
value of the charm quark mass of $\mc = (1.26\pm 0.16 \pm 0.09) \GeVcc $ and a
value of the ratio of the strange to non-strange sea in the nucleon of $\kappa
= 0.33 \pm 0.05 \pm 0.05$, improving the results obtained in similar analyses
by previous experiments.


title: String networks as tropical curves

abstract:
  A prescription for obtaining supergravity solutions for planar (p,q)-string
networks is presented, based on earlier results. It shows that networks may be
looked upon as tropical curves emerging as the spine of the amoeba of a
holomorphic curve in M-theory. The Kaehler potential of supergravity is
identified with the corresponding Ronkin function. Implications of this
identification in counting dyons is discussed.


title:
Aligned Molecular Clouds towards SS433 and L=348.5 degrees; Possible
  Evidence for Galactic "Vapor Trail" Created by Relativistic Jet

abstract:
  We have carried out a detailed analysis of the NANTEN 12CO(J=1-0) dataset in
two large areas of ~25 square degrees towards SS433 (l~40 degree) and of ~18
square degrees towards l~348.5 degree, respectively. We have discovered two
groups of remarkably aligned molecular clouds at |b|~1--5 degree in the two
regions. In SS433, we have detected 10 clouds in total, which are well aligned
nearly along the axis of the X-ray jet emanating from SS433. These clouds have
similar line-of-sight velocities of 42--56 km s^-1 and the total projected
length of the feature is ~300 pc, three times larger than that of the X-ray
jet, at a distance of 3 kpc. Towards l~348.5 degree, we have detected four
clouds named as MJG348.5 at line-of-sight velocities of -80 -- -95 km s^-1 in
V_LSR, which also show alignment nearly perpendicular to the Galactic plane.
The total length of the feature is ~400 pc at a kinematic distance of 6 kpc. In
the both cases, the CO clouds are distributed at high galactic latitudes where
such clouds are very rare. In addition, their alignments and coincidence in
velocity should be even rarer, suggesting that they are physically associated.
We tested a few possibilities to explain these clouds, including protostellar
outflows, supershells, and interactions with energetic jets. Among them, a
favorable scenario is that the interaction between relativistic jet and the
interstellar medium induced the formation of molecular clouds over the last
~10^5-6 yrs. It is suggested that the timescale of the relativistic jet may be
considerably larger, in the order of 10^5-6 yrs, than previously thought in
SS433. The driving engine of the jet is obviously SS433 itself in SS433,
although the engine is not yet identified in MJG348.5 among possible several
candidates detected in the X-rays and TeV gamma rays.


title: Noise Rectification and Fluctuations of an Asymmetric Inelastic Piston

abstract:
  We consider a massive inelastic piston, whose opposite faces have different
coefficients of restitution, moving under the action of an infinitely dilute
gas of hard disks maintained at a fixed temperature. The dynamics of the piston
is Markovian and obeys a continuous Master Equation: however, the asymmetry of
restitution coefficients induces a violation of detailed balance and a net
drift of the piston, as in a Brownian ratchet. Numerical investigations of such
non-equilibrium stationary state show that the velocity fluctuations of the
piston are symmetric around the mean value only in the limit of large piston
mass, while they are strongly asymmetric in the opposite limit. Only taking
into account such an asymmetry, i.e. including a third parameter in addition to
the mean and the variance of the velocity distribution, it is possible to
obtain a satisfactory analytical prediction for the ratchet drift velocity.


title:
On the coefficients of the liquid drop model mass formulae and nuclear
  radii

abstract:
  The coefficients of different mass formulae derived from the liquid drop
model and including or not the curvature energy, the diffuseness correction to
the Coulomb energy, the charge exchange correction term, different forms of the
Wigner term and different powers of the relative neutron excess $I=(N-Z)/A$
have been determined by a least square fitting procedure to 2027 experimental
atomic masses. The Coulomb diffuseness correction $Z^2/A$ term or the charge
exchange correction $Z^{4/3}/A^{1/3}$ term plays the main role to improve the
accuracy of the mass formula. The Wigner term and the curvature energy can also
be used separately for the same purpose. The introduction of an $|I|$
dependence in the surface and volume energies improves slightly the efficiency
of the expansion and is more effective than an $I^4$ dependence. Different
expressions reproducing the experimental nuclear charge radius are provided.
The different fits lead to a surface energy coefficient of around 17-18 MeV and
a relative equivalent rms charge radius r$_0$ of 1.22-1.23 fm.


title: Quantum Corner-Transfer Matrix DMRG

abstract:
  We propose a new method for the calculation of thermodynamic properties of
one-dimensional quantum systems by combining the TMRG approach with the corner
transfer-matrix method. The corner transfer-matrix DMRG method brings
reasonable advantage over TMRG for classical systems. We have modified the
concept for the calculation of thermal properties of one-dimensional quantum
systems. The novel QCTMRG algorithm is implemented and used to study two simple
test cases, the classical Ising chain and the isotropic Heisenberg model. In a
discussion, the advantages and challenges are illuminated.


title: On the geometry of broad emission region in quasars

abstract:
  We study the geometry of the Hbeta broad emission region by comparing the
M_BH values derived from Hbeta through the virial relation with those obtained
from the host galaxy luminosity in a sample of 36 low redshift (z around 0.3)
quasars. This comparison lets us infer the geometrical factor f needed to
de-project the line-of-sight velocity component of the emitting gas. The wide
range of f values we found, together with the strong dependence of f on the
observed line width, suggests that a disc-like model for the broad line region
is preferable to an isotropic model, both for radio loud and radio quiet
quasars. We examined similar observations of the CIV line and found no
correlation in the width of the two lines. Our results indicate that an
inflated disc broad line region, in which the Carbon line is emitted in a flat
disc while Hbeta is produced in a geometrically thick region, can account for
the observed differences in the width and shape of the two emission lines.


title: D-branes and Closed String Field Theory

abstract:
  We construct solitonic states in the OSp invariant string field theory, which
are BRST invariant in the leading order of regularization parameter. One can
show that these solitonic states describe D-branes and ghost D-branes, by
calculating the scattering amplitudes.


title: Nucleon distribution amplitudes from lattice QCD

abstract:
  We calculate low moments of the leading-twist and next-to-leading twist
nucleon distribution amplitudes on the lattice using two flavors of clover
fermions. The results are presented in the MSbar scheme at a scale of 2 GeV and
can be immediately applied in phenomenological studies. We find that the
deviation of the leading-twist nucleon distribution amplitude from its
asymptotic form is less pronounced than sometimes claimed in the literature.


title: Adaptation to synchronization in phase-oscillator networks

abstract:
  We introduce an adaptation algorithm by which an ensemble of coupled
oscillators with attractive and repulsive interactions is induced to adopt a
prescribed synchronized state. While the performance of adaptation is
controlled by measuring a macroscopic quantity, which characterizes the
achieved degree of synchronization, adaptive changes are introduced at the
microscopic level of the interaction network, by modifying the configuration of
repulsive interactions. This scheme emulates the distinct levels of selection
and mutation in biological evolution and learning.


title: Lambda-Free Logical Frameworks

abstract:
  We present the definition of the logical framework TF, the Type Framework. TF
is a lambda-free logical framework; it does not include lambda-abstraction or
product kinds. We give formal proofs of several results in the metatheory of
TF, and show how it can be conservatively embedded in the logical framework LF:
its judgements can be seen as the judgements of LF that are in beta-normal,
eta-long normal form. We show how several properties, such as adequacy theorems
for object theories and the injectivity of constants, can be proven more easily
in TF, and then `lifted' to LF.


title: The Binder Cumulant at the Kosterlitz-Thouless Transition

abstract:
  We study the behaviour of the Binder cumulant on finite square lattices at
the Kosterlitz-Thouless phase transition. We determine the fixed point value of
the Binder cumulant and the coefficient of the leading logarithmic correction.
These calculations are supplemented with Monte Carlo simulations of the
classical XY (plane rotator) model, the Villain model and the dual of the
absolute value solid-on-solid model. Using the single cluster algorithm, we
simulate lattices up to L=4096. For the lattice sizes reached, subleading
corrections are needed to fit the data for the Binder cumulant. We demonstrate
that the combined analysis of the Binder cumulant and the second moment
correlation length over the lattice size allows for an accurate determination
of the Kosterlitz-Thouless transition temperature on relatively small lattices.
We test the new method at the example of the 2-component phi^4 model on the
lattice.


title:
Single-electron counting spectroscopy: simulation study of porphyrin in
  a molecular junction

abstract:
  Electron counting of a single porphyrin molecule between two electrodes shows
a crossover from sub- to super-Poissonian statistics as the bias voltage is
scanned. This is attributed to the simultaneous activation of states with
electron transfer rates spanning several orders of magnitude. Time-series
analysis of consecutive single electron transfer events reveals fast and slow
transport channels, which are not resolved by the average current alone.


title:
Sharp bounds on the critical stability radius for relativistic charged
  spheres

abstract:
  In a recent paper by Giuliani and Rothman \cite{GR}, the problem of finding a
lower bound on the radius $R$ of a charged sphere with mass M and charge Q<M is
addressed. Such a bound is referred to as the critical stability radius.
Equivalently, it can be formulated as the problem of finding an upper bound on
M for given radius and charge. This problem has resulted in a number of papers
in recent years but neither a transparent nor a general inequality similar to
the case without charge, i.e., M\leq 4R/9, has been found. In this paper we
derive the surprisingly transparent inequality
$$\sqrt{M}\leq\frac{\sqrt{R}}{3}+\sqrt{\frac{R}{9}+\frac{Q^2}{3R}}.$$ The
inequality is shown to hold for any solution which satisfies $p+2p_T\leq\rho,$
where $p\geq 0$ and $p_T$ are the radial- and tangential pressures respectively
and $\rho\geq 0$ is the energy density. In addition we show that the inequality
is sharp, in particular we show that sharpness is attained by infinitely thin
shell solutions.


title:
Small deviations of stable processes and entropy of the associated
  random operators

abstract:
  We investigate the relation between the small deviation problem for a
symmetric $\alpha$-stable random vector in a Banach space and the metric
entropy properties of the operator generating it. This generalizes former
results due to Li and Linde and to Aurzada. It is shown that this problem is
related to the study of the entropy numbers of a certain random operator. In
some cases, an interesting gap appears between the entropy of the original
operator and that of the random operator generated by it. This phenomenon is
studied thoroughly for diagonal operators. Basic ingredients here are
techniques related to random partitions of the integers. The main result
concerning metric entropy and small deviations allows us to determine or
provide new estimates for the small deviation rate for several symmetric
$\alpha$-stable random processes, including unbounded Riemann--Liouville
processes, weighted Riemann--Liouville processes and the ($d$-dimensional)
$\alpha$-stable sheet.


title: A stochastic fixed point equation for weighted minima and maxima

abstract:
  Given any finite or countable collection of real numbers $T_j,j\in J$, we
find all solutions $F$ to the stochastic fixed point equation
\[W\stackrel{\mathrm {d}}{=}\inf_{j\in J}T_jW_j,\] where $W$ and the $W_j,j\in
J$, are independent real-valued random variables with distribution $F$ and
$\stackrel{\mathrm {d}}{=}$ means equality in distribution. The bulk of the
necessary analysis is spent on the case when $|J|\geq 2$ and all $T_j$ are
(strictly) positive. Nontrivial solutions are then concentrated on either the
positive or negative half line. In the most interesting (and difficult)
situation $T$ has a characteristic exponent $\alpha$ given by $\sum_{j\in
J}T_j^{\alpha}=1$ and the set of solutions depends on the closed multiplicative
subgroup of $\mathbb {R}^{>}=(0,\infty)$ generated by the $T_j$ which is either
$\{1\}$, $\mathbb {R}^{>}$ itself or $r^{\mathbb {Z}}=\{r^n\dvt n\in \mathbb
{Z}\}$ for some $r>1$. The first case being trivial, the nontrivial fixed
points in the second case are either Weibull distributions or their reciprocal
reflections to the negative half line (when represented by random variables),
while in the third case further periodic solutions arise. Our analysis builds
on the observation that the logarithmic survival function of any fixed point is
harmonic with respect to $\varLambda =\sum_{j\geq 1}\delta_{T_j}$, i.e.
$\varGamma =\varGamma \star \varLambda$, where $\star$ means multiplicative
convolution. This will enable us to apply the powerful Choquet--Deny theorem.


title:
Collisional Properties of a Polarized Fermi Gas with Resonant
  Interactions

abstract:
  Highly polarized mixtures of atomic Fermi gases constitute a novel Fermi
liquid. We demonstrate how information on thermodynamic properties may be used
to calculate quasiparticle scattering amplitudes even when the interaction is
resonant and apply the results to evaluate the damping of the spin dipole mode.
We estimate that under current experimental conditions, the mode would be
intermediate between the hydrodynamic and collisionless limits.


title: On Local Models with Special Parahoric Level Structure

abstract:
  We consider the local model of a Shimura variety of PEL type, with the
unitary similitudes corresponding to a ramified quadratic extension of
$\mathbb{Q}_p$ as defining group. We examine the cases where the level
structure at $p$ is given by a parahoric that is the stabilizer of a selfdual
periodic lattice chain and that is special in the sense of Bruhat--Tits theory.
We prove that in these cases the special fiber of the local model is
irreducible and generically reduced; consequently, the special fiber is reduced
and is normal, Frobenius split, and with only rational singularities. In
addition, we show that in these cases the local model contains an open subset
that is isomorphic to affine space.


title: On multifractality and time subordination for continuous functions

abstract:
  We show that if $Z$ is "homogeneously multifractal" (in a sense we precisely
define), then $Z$ is the composition of a monofractal function $g$ with a time
subordinator $f$ (i.e. $f$ is the integral of a positive Borel measure
supported by $\zu$). When the initial function $Z$ is given, the monofractality
exponent of the associated function $g$ is uniquely determined. We study in
details a classical example of multifractal functions $Z$, for which we exhibit
the associated functions $g$ and $f$. This provides new insights into the
understanding of multifractal behaviors of functions.


title: Quantum circuits for strongly correlated quantum systems

abstract:
  In recent years, we have witnessed an explosion of experimental tools by
which quantum systems can be manipulated in a controlled and coherent way. One
of the most important goals now is to build quantum simulators, which would
open up the possibility of exciting experiments probing various theories in
regimes that are not achievable under normal lab circumstances. Here we present
a novel approach to gain detailed control on the quantum simulation of strongly
correlated quantum many-body systems by constructing the explicit quantum
circuits that diagonalize their dynamics. We show that the exact quantum
circuits underlying some of the most relevant many-body Hamiltonians only need
a finite amount of local gates. As a particularly simple instance, the full
dynamics of a one-dimensional Quantum Ising model in a transverse field with
four spins is shown to be reproduced using a quantum circuit of only six local
gates. This opens up the possibility of experimentally producing strongly
correlated states, their time evolution at zero time and even thermal
superpositions at zero temperature. Our method also allows to uncover the exact
circuits corresponding to models that exhibit topological order and to
stabilizer states.


title:
Multivariate normal approximation using Stein's method and Malliavin
  calculus

abstract:
  We combine Stein's method with Malliavin calculus in order to obtain explicit
bounds in the multidimensional normal approximation (in the Wasserstein
distance) of functionals of Gaussian fields. Our results generalize and refine
the main findings by Peccati and Tudor (2005), Nualart and Ortiz-Latorre
(2007), Peccati (2007) and Nourdin and Peccati (2007b, 2008); in particular,
they apply to approximations by means of Gaussian vectors with an arbitrary,
positive definite covariance matrix. Among several examples, we provide an
application to a functional version of the Breuer-Major CLT for fields
subordinated to a fractional Brownian motion.


title:
Equivariant Localization in Stochastic Quantization and Quenched Matrix
  Models

abstract:
  It is shown that Parisi-Sourlas supersymmetry of stochastic quantization is a
Cartan model of equivariant cohomology. Equivariant cohomological structure of
stochastic quantization of linear and non-linear sigma models are discussed.
Witten's nonabelian localization principle is applied to the stochastic
quantization of matrix models. As a result the equivalence between the original
matrix model and the corresponding quenched Eguchi-Kawai model is established.


title:
Simultaneous suppression of ferromagnetism and superconductivity in
  UCoGe by Si substitution

abstract:
  We investigate the effect of substituting Si for Ge in the ferromagnetic
superconductor UCoGe. Dc-magnetization, ac-susceptibility and electrical
resistivity measurements on polycrystalline UCoGe$_{1-x}$Si$_x$ samples show
that ferromagnetic order and superconductivity are progressively depressed with
increasing Si content and simultaneously vanish at a critical concentration
$x_{cr} \simeq 0.12$. The non-Fermi liquid temperature variation in the
electrical resistivity near $x_{cr}$ and the smooth depression of the ordered
moment point to a continuous ferromagnetic quantum phase transition.
Superconductivity is confined to the ferromagnetic phase, which provides
further evidence for magnetically mediated superconductivity.


title:
The Fundamental Plane of Early Type Galaxies in Nearby Clusters from the
  WINGS Database

abstract:
  By exploting the data of three large surveys (WINGS, NFPS and SDSS), we
present here a comparative analysis of the Fundamental Plane (FP hereafter) of
the early-type galaxies (ETGs) belonging to 59 galaxy clusters in the redshift
range $0.04<z<0.07$.
  We show that the variances of the distributions of the FP coefficients
derived for the clusters in our sample are not consistent with the hypothesis
of universality of the FP relation. By investigating the origin of such
remarkable variances we find that, besides a couple of obvious factors, such as
the adopted fitting technique and the method used to measure the photometric
and kinematic variables, the coefficients of the FP are strongly influenced by
a number of things, mainly related to the distribution of photometric/kinematic
properties of galaxies in the particular sample under analysis. For instance,
the $a$ coefficient derived for the whole sample of ETGs, turns out to decrease
when faint galaxies are progressively removed from the sample, suggesting that
bright and faint ETGs have systematically different FPs, likely because of
different mechanisms of galaxy formation. In general, by comparing mock cluster
samples with the real one, we conclude that the observed variances of the FP
coefficients cannot be attributed just to statistical uncertainties. We
speculate that the FP is actually a bent surface, which is approximated by
different planes when different selection criteria, either chosen or induced by
observations, are acting to define galaxies samples.
  We also find ...


title: The F.A.S.T.-Model

abstract:
  A discrete model of pedestrian motion is presented that is implemented in the
Floor field- and Agentbased Simulation Tool (F.A.S.T.) which has already been
applicated to a variety of real life scenarios.


title:
A Reliability-based Framework for Multi-path Routing Analysis in Mobile
  Ad-Hoc Networks

abstract:
  Unlike traditional routing procedures that, at the best, single out a unique
route, multi-path routing protocols discover proactively several alternative
routes. It has been recognized that multi-path routing can be more efficient
than traditional one mainly for mobile ad hoc networks, where route failure
events are frequent. Most studies in the area of multi-path routing focus on
heuristic methods, and the performances of these strategies are commonly
evaluated by numerical simulations. The need of a theoretical analysis
motivates such a paper, which proposes to resort to the terminal-pair routing
reliability as performance metric. This metric allows one to assess the
performance gain due to the availability of route diversity. By resorting to
graph theory, we propose an analytical framework to evaluate the tolerance of
multi-path route discovery processes against route failures for mobile ad hoc
networks. Moreover, we derive a useful bound to easily estimate the performance
improvements achieved by multi-path routing with respect to any traditional
routing protocol. Finally, numerical simulation results show the effectiveness
of this performance analysis.


title: Role of beam propagation in Goos-H\"{a}nchen and Imbert-Fedorov shifts

abstract:
  We derive the polarization-dependent displacements parallel and perpendicular
to the plane of incidence, for a Gaussian light beam reflected from a planar
interface, taking into account the propagation of the beam. Using a
classical-optics formalism we show that beam propagation may greatly affect
both Goos-H\"{a}nchen and Imbert-Fedorov shifts when the incident beam is
focussed.


title: Filtering the fiber of the pinch map

abstract:
  A new type of Hopf invariant is described for the fiber of the pinch map from
the mapping cone of a map from A to X onto to the suspension of A; this is then
used to study the boundary map in the fibration sequence of Cohen, Moore and
Neisendorfer in the case that the mapping cone is an odd dimensional Moore
space. The components of the boundary map are then shown to be compatible with
Hopf invariants and a filtered splitting of the loops on the fiber is obtained.


title:
Post-selective two-photon interference from a continuous non-classical
  stream of photons emitted by a quantum dot

abstract:
  We report an electrically driven semiconductor single photon source capable
of emitting photons with a coherence time of up to 400 ps under fixed bias. It
is shown that increasing the injection current causes the coherence time to
reduce and this effect is well explained by the fast modulation of a
fluctuating environment. Hong-Ou-Mandel type two-photon interference using a
Mach-Zehnder interferometer is demonstrated using this source to test the
indistinguishability of individual photons by post-selecting events where two
photons collide at a beamsplitter. Finally, we consider how improvements in our
detection system can be used to achieve a higher interference visibility.


title: Dynamic Scaling of Non-Euclidean Interfaces

abstract:
  The dynamic scaling of curved interfaces presents features that are
strikingly different from those of the planar ones. Spherical surfaces above
one dimension are flat because the noise is irrelevant in such cases. Kinetic
roughening is thus a one-dimensional phenomenon characterized by a marginal
logarithmic amplitude of the fluctuations. Models characterized by a planar
dynamical exponent $z>1$, which include the most common stochastic growth
equations, suffer a loss of correlation along the interface, and their dynamics
reduce to that of the radial random deposition model in the long time limit.
The consequences in several applications are discussed, and we conclude that it
is necessary to reexamine some experimental results in which standard scaling
analysis was applied.

categories: cond-mat.stat-mech math-ph math.MP nlin.AO


title: Electric field in 3D gravity with torsion

abstract:
  It is shown that in static and spherically symmetric configurations of the
system of Maxwell field coupled to 3D gravity with torsion, at least one of the
Maxwell field components has to vanish. Restricting our attention to the
electric sector of the theory, we find an interesting exact solution,
corresponding to the azimuthal electric field. Its geometric structure is to a
large extent influenced by the values of two different central charges,
associated to the asymptotic AdS structure of spacetime.


title: Frustrated Ferroelectricity in Niobate Pyrochlores

abstract:
  The crystal structures of the A2B2O7-x Niobium-based pyrochlores
Y2(Nb0.86Y0.14)2O6.91, CaYNb2O7, and Y2NbTiO7 are reported, determined by
powder neutron diffraction. These compounds represent the first observation of
B-site displacements in the pyrochlore structure: the B-site ions are found to
be displaced from the ideal pyrochlore positions, creating electric dipoles.
The orientations of these dipoles are fully analogous to orientations of the
magnetic moments in Ising spin based magnetically frustrated pyrochlores.
Diffuse scattering in electron diffraction patterns shows that the
displacements are only short range ordered, indicative of geometric frustration
of the collective dielectric state of the materials. Comparison to the crystal
structure of the Nb5+ (d0) pyrochlore La2ScNbO7 supports the prediction that
charge singlets, driven by the tendency of Nb to form metal-metal bonds, are
present in these pyrochlores. The observed lack of long-range order to these
singlets suggests that Nb4+-based pyrochlores represent the dielectric analogy
to the geometric frustration of magnetic moments observed in rare earth
pyrochlores.


title:
The S1 Shell and Interstellar Magnetic Field and Gas near the
  Heliosphere

abstract:
  Many studies of the Loop I magnetic superbubble place the Sun at the edges of
the bubble. One recent study models the polarized radio continuum of Loop I as
two magnetic shells with the Sun embedded in the rim of the 'S1' shell. If the
Sun is in such a shell, it should be apparent in both the local interstellar
magnetic field and the distribution of nearby interstellar material. The
properties of these subshells are compared to optical polarization data that
trace the nearby interstellar magnetic field (ISMF), and the distribution of
interstellar FeII and CaII within about 55 pc of the Sun. The result is that a
model of Loop I as composed of two magnetic subshells is a viable description
of the distribution of nearby low density ISM. Column densities of the
recombinant ion CaII are found to increase with the strength of the
interstellar radiation field, rather than with star distance or total
pathlength through the two magnetic subshells. As found earlier, the symmetry
of the dipole moment of the cosmic microwave background corresponds to the
symmetries of the heliosphere and local ISMF (to within 10 degrees).


title: A Note on Dimer Models and D-brane Gauge Theories

abstract:
  The connection between quiver gauge theories and dimer models has been well
studied. It is known that the matter fields of the quiver gauge theories can be
represented using the perfect matchings of the corresponding dimer model.We
conjecture that a subset of perfect matchings associated with an internal point
in the toric diagram is sufficient to give information about the charge matrix
of the quiver gauge theory. Further, we perform explicit computations on some
aspects of partial resolutions of toric singularities using dimer models. We
analyse these with graph theory techniques, using the perfect matchings of
orbifolds of the form $\BC^3/\Gamma$, where the orbifolding group $\Gamma$ may
be noncyclic. Using these, we study the construction of the superpotential of
gauge theories living on D-branes which probe these singularities, including
the case where one or more adjoint fields are present upon partial resolution.
Applying a combination of open and closed string techniques to dimer models, we
also study some aspects of their symmetries.


title: Formation of Pt induced Ge atomic nanowires on Pt/Ge(001): a DFT study

abstract:
  Pt deposited onto a Ge(001) surface gives rise to the spontaneous formation
of atomic nanowires on a mixed Pt-Ge surface after high temperature annealing.
We study possible structures of the mixed surface and the nanowires by total
energy (density functional theory) calculations. Experimental scanning
tunneling microscopy images are compared to the calculated local densities of
states. On the basis of this comparison and the stability of the structures, we
conclude that the formation of nanowires is driven by an increased
concentration of Pt atoms in the Ge surface layers. Surprisingly, the atomic
nanowires consist of Ge instead of Pt atoms.


title: A proposal that explains the Pioneer anomaly

abstract:
  We propose here an explanation of the Pioneer anomaly which is not in
conflict with the cartography of the solar system. In our model, the spaceship
does not suffer any extra acceleration but follows the trajectory predicted by
standard gravitational theory. The observed acceleration is not real but
apparent and has the same observational footprint as a deceleration of
astronomical time with respect to atomic time. The details can be summarized as
follows: i) as we argued in a recent paper, there is an unavoidable coupling
between the background gravitation that pervades the universe and the quantum
vacuum because of the long range and universality of gravity; ii) via the
fourth Heisenberg relation, we show that this coupling causes a progressive
desynchronization of the astronomical and atomic clock-times, in such a way
that the former decelerates adiabatically with respect to the latter; and iii)
since gravitational theory uses astronomical time and the observers use atomic
time (they are using devices based on quantum physics), this desynchronization
necessarily causes a discrepancy between theory and observation, so that the
observed velocity of the spaceship is smaller than the predicted one, in such a
way that the Pioneer seems to lag behind its expected position. The discoverers
of the anomaly suggested "the possibility that the origin of the anomalous
signal is new physics" although they added "the most likely cause of the effect
is an unknown systematics," but also that "In the unlikely event that there is
new physics, one does not want to miss it because one had the wrong mind set."


title: On Probabilistic Parametric Inference

abstract:
  An objective operational theory of probabilistic parametric inference is
formulated without invoking the so-called non-informative prior probability
distributions.


title:
A GMRT multifrequency radio study of the isothermal core of the poor
  galaxy cluster AWM 4

abstract:
  We present a detailed radio morphological study and spectral analysis of the
wide-angle-tail radio source 4C +24.36 associated with the dominant galaxy in
the relaxed galaxy cluster AWM 4. Our study is based on new high sensitivity
GMRT observations at 235 MHz, 327 MHz and 610 MHz, and on literature and
archival data at other frequencies. We find that the source major axis is
likely oriented at a small angle with respect to the plane of the sky. The
wide-angle-tail morphology can be reasonably explained by adopting a simple
hydrodynamical model in which both ram pressure (driven by the motion of the
host galaxy) and buoyancy forces contribute to bend the radio structure. The
spectral index progressively steepens along the source major axis from $\alpha
\sim$0.3 in the region close to the radio nucleus to beyond 1.5 in the lobes.
The results of the analysis of the spectral index image allow us to derive an
estimate of the radiative age of the source of $\sim$ 160 Myr. The cluster
X-ray emitting gas has a relaxed morphology and short cooling time, but its
temperature profile is isothermal out to at least 160 kpc from the centre.
Therefore we seek evidence of energy ejection from the central AGN to prevent
catastrophic cooling. We find that the energy injected by 4C +24.36 in the form
of synchrotron luminosity during its lifetime is far less than the energy
required to maintain the high gas temperature in the core. We also find that it
is not possible for the central source to eject the requisite energy in the
intracluster gas in terms of the enthalpy of buoyant bubbles of relativistic
fluid, without creating discernible large cavities in the existing X-ray
XMM-Newton observations.


title: Novel Higgs decay signals in R-parity violating models

abstract:
  In supersymmetric models the lightest Higgs boson may decay with a sizable
branching ratio into a pair of light neutralinos. We analyze such decays within
the context of the minimal supersymmetric standard model with R-parity
violation, where the neutralino itself is unstable and decays into Standard
Model fermions. We show that the R-parity violating couplings induce novel
Higgs decay signals that might facilitate the discovery of the Higgs boson at
colliders. At the LHC, the Higgs may be observed, for instance, through its
decay -via two neutralinos- into final states containing missing energy and
isolated charged leptons such as $l^\pm l^\mp, l^\pm l^\pm, 3l$, and $4l$.
Another promising possibility is the search for the displaced vertices
associated with the neutralino decay. We also point out that Higgs searches at
the LHC might additionally provide the first evidence of R-parity violation.


title:
Bose-Einstein Condensation of Gases in the Frame of Quantum
  Electrodynamics: Interconnection of Constituents

abstract:
  Bose-Einstein condensate of rarified atomic gases is considered as the state
formed by exchange of virtual photons, resonant to the lowest levels of atoms;
such representation corresponds to the Einstein opinion about an
inter-influence of condensable particles. Considered interactions directly lead
to the QED structure of nonlinear potential in the Gross-Pitaevskii equation.
Linear momenta that correspond to the thermal energy of condensable atoms are
connected to near field of particles and therefore leave atoms immovable. The
estimations of these effects do not contradict the observed data; the general
quantum principles predict possibility of stimulating of BEC formation by
resonant irradiation. All this requires the spectroscopic investigation of BEC
on different steps of formation.


title:
Radial temperature profiles for a large sample of galaxy clusters
  observed with XMM-Newton

abstract:
  Aims. We measure, as far out as possible, radial temperature profiles for a
sample of ~50 hot, intermediate redshift galaxy clusters, selected from the
XMM-Newton archive, keeping systematic errors under control.
  Methods. Our work is characterized by two major improvements. Firstly, we use
the background modeling, rather than the background subtraction, and the Cash
statistic rather than the chi square; this method requires a careful
characterization of all background components. Secondly, we assess in details
systematic effects. We perform two groups of test: prior to the analysis, we
make use of extensive simulations to quantify the impact of different spectral
components on simulated spectra; after the analysis, we investigate how the
measured temperature profile changes, when choosing different key parameters.
  Results. The mean temperature profile declines beyond 0.2 R_{180}; for the
first time we provide an assessment of the source and the magnitude of
systematic uncertainties. When comparing our profile with that obtained from
hydrodynamic simulations, we find the slopes beyond ~0.2 R_{180} to be similar.
Our mean profile is similar but somewhat flatter with respect to that obtained
by previous observational works, possibly as a consequence of a different level
of characterization of systematic effects.
  Conclusions. This work allows us not only to constrain with confidence
cluster temperature profiles in outer regions, but also, from a more general
point of view, to explore the limits of the current X-ray experiments (in
particular XMM-Newton) with respect to the analysis of low surface brightness
emission.


title: Higher Derivative Correction to the Hawking Flux via Trace Anomaly

abstract:
  In this paper we derive Hawking radiation of black holes with higher
derivative corrections by the method of trace anomaly. Firstly we derive
Hawking radiation for general spherical black holes. We introduce a modified
tortoise coordinate to it and find the analyticity of the coordinate. Secondly
we apply its method to a black hole with a higher derivative correction and
derive the Hawking radiation of it. We found that as an ordinary case the flux
depends only on the surface gravity.


title:
Efficient method of finding scaling exponents from finite-size
  Monte-Carlo simulations

abstract:
  Monte-Carlo simulations are routinely used for estimating the scaling
exponents of complex systems. However, due to finite-size effects, determining
the exponent values is often difficult and not reliable. Here we present a
novel technique of dealing the problem of finite-size scaling. The efficiency
of the technique is demonstrated on two data sets.


title: Blandford-Znajek mechanism versus Penrose process

abstract:
  During the three decades since its theoretical discovery the Blandford-Znajek
process of extracting the rotational energy of black holes has become one of
the foundation stones in the building of modern relativistic astrophysics.
However, it is also true that for a long time its physics was not well
understood, as evidenced by the controversy that surrounded it since 1990s.
Thanks to the efforts of many theorists during the last decade the state of
affairs is gradually improving. In this lecture I attempt to explain the key
ingredients of this process in more or less systematic, rigorous, and at the
same time relatively simple fashion. A particular attention is paid to the
similarities and differences between the Blandford-Znajek and Penrose
processes. To this purpose I formulate the notion of energy counter flow. The
concept of horizon membrane is replaced with the concept of vacuum as an
electromagnetically active medium. The effect of negative phase velocity of
electromagnetic waves in the black hole ergosphere is also discussed.


title:
Star cluster versus field star formation in the nucleus of the prototype
  starburst galaxy M82

abstract:
  We analyse high-resolution Hubble Space Telescope/Advanced Camera for Surveys
imaging of the nuclear starburst region of M82, obtained as part of the Hubble
Heritage mosaic made of this galaxy, in four filters (Johnson-Cousins
equivalent B, V, and I broad bands, and an Halpha narrow-band filter), as well
as subsequently acquired U-band images. We find a complex system of ~150 star
clusters in the inner few 100 pc of the galaxy. We do not find any conclusive
evidence of a cluster-formation epoch associated with the most recent starburst
event, believed to have occurred about 4-6 Myr ago. This apparent evidence of
decoupling between cluster and field-star formation is consistent with the view
that star cluster formation requires special conditions. However, we strongly
caution, and provide compelling evidence, that the `standard' simple stellar
population analysis method we have used significantly underestimates the true
uncertainties in the derived ages due to stochasticity in the stellar initial
mass function and the corresponding sampling effects.


title: Translation-invariant models for non-commutative gauge fields

abstract:
  Motivated by the recent construction of a translation-invariant
renormalizable non-commutative model for a scalar field (see arXiv:0802.0791
[math-ph]), we introduce models for non-commutative U(1) gauge fields along the
same lines. More precisely, we include some extra terms into the action with
the aim of getting rid of the UV/IR mixing.


title: Aging processes in reversible reaction-diffusion systems

abstract:
  Reversible reaction-diffusion systems display anomalous dynamics
characterized by a power-law relaxation toward stationarity. In this paper we
study in the aging regime the nonequilibrium dynamical properties of some model
systems with reversible reactions. Starting from the exact Langevin equations
describing these models, we derive expressions for two-time correlation and
autoresponse functions and obtain a simple aging behavior for these quantities.
The autoresponse function is thereby found to depend on the specific nature of
the chosen perturbation of the system.


title:
Dirac neutrino magnetic moment and the shock wave revival in a supernova
  explosion

abstract:
  The process of the two-step conversion of the neutrino helicity, $\nu_L \to
\nu_R \to \nu_L$, is analysed in the supernova conditions, where the first
stage is realized due to the interaction of the neutrino magnetic moment with
the plasma electrons and protons in the supernova core. The second stage is
caused by the neutrino resonant spin-flip in a magnetic field of the supernova
envelope. Given the neutrino magnetic moment within the interval $10^{-13}
\mu_{\rm B} < \mu_\nu < 10^{-12} \mu_{\rm B}$, and with the existence of the
magnetic field at the scale $\sim 10^{13}$ G between the neutrinosphere and the
shock-wave stagnation region, it is shown that an additional energy of the
order of $10^{51}$ erg can be injected into this region during the typical time
of the shock-wave stagnation. This energy could be sufficient for stumulation
of the damped shock wave.


title:
New active galactic nuclei detected in ROSAT All Sky Survey galaxies -
  The complete dataset

abstract:
  The ROSAT ALL Sky Survey Bright Source Catalogue (RASS-BSC) has been
correlated with the Catalogue of Principal Galaxies (PGC) to identify new
extragalactic counterparts. 550 reliable optical counterparts have been
detected. We took optical spectra of 176 X-ray candidates and companions at
ESO, Calar Alto observatory and McDonald observatory. We discuss the redshift-,
linewidth-, as well as optical and X-ray luminosity distribution of our ROSAT
selected sample. 139 galaxies of our 166 X-ray counterparts have been
identified as AGN with 93 being Seyfert 1 galaxies (61%). Eighteen of them
(20%) are Narrow Line Seyfert 1 galaxies. 34 X-ray candidates (21%) are LINERs
and only eight candidates (5%) are Seyfert 2. The ratio of the number of
Seyfert 1 galaxies to Seyfert 2 galaxies is about 11/1. Optical surveys result
in ratios of 1/1.4. The high fraction of detected Seyfert 1 galaxies is
explained by the sensitivity of the ROSAT to soft X-rays which are heavily
absorbed in type 2 AGN. Two X-ray candidates are HII-galaxies and 25 candidates
(15%) show no signs of spectral activity. The AGN in our RASS selected sample
exhibit slightly higher optical luminosities M_B = (-20.71 +- 1.75) mag and
similar X-ray luminosities (log(L_X [erg/s]) = 42.9 +- 1.7) compared to other
AGN surveys. The Halpha line width distribution (FWHM) of our newly identified
ROSAT AGN sample is similar to the line widths distribution based on SDSS AGN.
However, our newly identified RASS AGN have rather reddish colors explaining
why they have not been detected before in ultraviolet or blue excess surveys.


title: Running Coupling Effects in Small-x QCD

abstract:
  We study effects of the running of the coupling in QCD at small Bjorken-x and
in particular the ones related to gluon saturation. After introducing the steps
taken to the derivation of the next to leading order nonlinear evolution
equation, we discuss the infrared sensitivity of the Pomeron intercept, the
energy dependence of the saturation momentum and the appearance of geometrical
scaling, and the dominance of the running coupling effects over the ones
introduced by loops of Pomerons.


title:
What is a galaxy? How Cold is Cold Dark Matter? Recent progress in Near
  Field Cosmology

abstract:
  There has been a vast recent improvement in photometric and kinematic data
for star clusters, Ultra Compact dwarfs, galactic nuclei, and local dSph
galaxies, with Subaru contributing substantially to the photometric studies in
particular. These data show that there is a bimodal distribution in half-light
radii, with stable star clusters always being smaller than 35pc, while stable
galaxies are always larger than 120pc. We extend the previously known
observational relationships and interpret them in terms of a more fundamental
pair of intrinsic properties of dark matter itself: dark matter forms cored
mass distributions, with a core scale length of greater than about 100pc, and
always has a maximum central mass density with a narrow range. The dark matter
in dSph galaxies appears to be clustered such that there is a mean volume mass
density within the stellar distribution which has the very low value of about
0.1$M_{\odot}$ pc$^{-3}$. None of the dSphs displays kinematics which require
the presence of an inner cusp, while in two dSphs there is evidence that the
density profile is shallow (cored) in the inner regions. The maximum central
dark matter density derived is model dependent, but is likely to have a mean
value (averaged over a volume of radius 10pc) of about 0.1$M_{\odot}$
pc$^{-3}$, which is 5GeV/c$^2$cm$^{-3}$). Galaxies are embedded in dark matter
halos with these properties; smaller systems containing dark matter are not
observed.


title: Signatures of trans-Planckian dispersion in inflationary spectra

abstract:
  The primordial spectra are calculated using dispersion relations which
deviate from the relativistic one above a certain energy scale Lambda. We
determine the properties of the leading modifications with respect to the
standard spectra when Lambda is much greater than H, the Hubble scale during
inflation. To be generic, we parameterize the lowest order deviation from the
relativistic law by alpha, the power of P/Lambda where P is the proper
momentum. When working in the asymptotic vacuum, the leading modification
scales as (H/Lambda)^alpha for all alpha, except for a discrete set where the
power is higher. Moreover, this modification is robust against introducing
higher order terms in the dispersion relation. We then algebraically deduce the
modifications of scalar and tensor power spectra in slow roll inflation from
modifications calculated in de Sitter space. The modifications do not exhibit
oscillations unless the dispersion relation induces some non-adiabaticity near
a given scale. Finally, we explore the much less studied regime where H and
Lambda are comparable. Our results indicate that the project of reconstructing
the inflaton potential cannot be pursued without making some hypothesis about
the dispersion relation of the fluctuation modes.


title:
On the Extension of Pseudo-Boolean Functions for the Aggregation of
  Interacting Criteria

abstract:
  The paper presents an analysis on the use of integrals defined for
non-additive measures (or capacities) as the Choquet and the \Sipos{} integral,
and the multilinear model, all seen as extensions of pseudo-Boolean functions,
and used as a means to model interaction between criteria in a multicriteria
decision making problem. The emphasis is put on the use, besides classical
comparative information, of information about difference of attractiveness
between acts, and on the existence, for each point of view, of a ``neutral
level'', allowing to introduce the absolute notion of attractive or repulsive
act. It is shown that in this case, the Sipos integral is a suitable solution,
although not unique. Properties of the Sipos integral as a new way of
aggregating criteria are shown, with emphasis on the interaction among
criteria.


title: Comment on the recent COMPASS data on the spin structure function g_1

abstract:
  We examine the recent COMPASS data on the spin structure function g_1
singlet. We show that it is rather difficult to use the data in the present
form in order to draw conclusions on the initial parton densities. However, our
tentative estimate is that the data better agree with positive rather than
negative initial gluon densities.


title:
Effect of magnetic boundary conditions on the dynamo threshold of von
  Karman swirling flows

abstract:
  We study the effect of different boundary conditions on the kinematic dynamo
threshold of von Karman type swirling flows in a cylindrical geometry. Using an
analytical test flow, we model different boundary conditions: insulating walls
all over the flow, effect of sodium at rest on the cylinder side boundary,
effect of sodium behind the impellers, effect of impellers or side wall made of
a high-magnetic-permeability material. We find that using
high-magnetic-permeability boundary conditions decreases the dynamo threshold,
the minimum being achieved when they are implemented all over the flow.


title: Entropy and its relationship to allometry

abstract:
  Researchers have found that the metabolisms of organisms appear to scale
proportionally to a 3/4 power of their mass. Mathematics in this article
suggests that the capacity of an isotropically radiating energy supply scales
up by a 4/3 power as its size (and therefore the degrees of freedom of its
circulatory system) increases. Accordingly, cellular metabolism scales
inversely by a 3/4 power, likely to prevent the 4/3 scaling up of the energy
supply overheating the cell. The same 4/3 power scaling may explain
cosmological dark energy.


title: Anisotropies in the Cosmic Neutrino Background after WMAP 5-year Data

abstract:
  We search for the presence of cosmological neutrino background (CNB)
anisotropies in recent WMAP 5-year data using their signature imprinted on
modifications to cosmic microwave background (CMB) anisotropy power spectrum.
By parametrizing the neutrino background anisotropies with the speed viscosity
parameter $c_\vis$, we find that the WMAP 5-year data alone provide only a weak
indication for CNB anisotropies with $c_\vis^2 > 0.06$ at the 95% confidence
level. When we combine CMB anisotropy data with measurements of galaxy
clustering, SN-Ia Hubble diagram, and other cosmological information, the
detection increases to $c_\vis^2 > 0.16$ at the same 95% confidence level.
Future data from Planck, combined with a weak lensing survey such as the one
expected with DUNE from space, will be able to measure the CNB anisotropy
parameter at about 10% accuracy. We discuss the degeneracy between neutrino
background ansiotropies and other cosmological para meters such as the number
of effective neutrinos species and the dark energy equation of state.


title:
Room temperature soft ferromagnetism in the nanocrystalline form of YCo2
  - a well-known bulk Pauli paramagnet

abstract:
  The Laves phase compound, YCo2, is a well-known exchange-enahnced Pauli
paramagnet. We report here that, in the nanocrystalline form, this compound
interestingly is an itinerant ferromagnet at room temperature with a low
coercive-field. The magnitude of the saturation moment (about 1 Bohr-magneton
per formula unit) is large enough to infer that the ferromagnetism is not a
surface phenomenon in these nanocrystallites. Since these ferromagnetic
nanocrystallines are easy to synthesize with a stable form in air, one can
explore applications, particularly where hysteresis is a disadvantage.


title: Supersolitons: Solitonic excitations in atomic soliton chains

abstract:
  We show that, by appropriately tuning physically relevant interactions in
two-component nonlinear Schrodinger equations, it is possible to achieve a
regime with particle-like solitonic collisions. This allows us to construct an
analogue of the Newton's cradle and also to create localized collective
excitations in solitary-wave chains which are quasi-integrable solitons, i.e.
supersolitons.
  We give a physical explanation of the phenomenon, support it with a
perturbative analysis, and confirm our predictions by direct simulations.


title: Characterizing User Mobility in Second Life

abstract:
  In this work we present a measurement study of user mobility in Second Life.
We first discuss different techniques to collect user traces and then focus on
results obtained using a crawler that we built. Tempted by the question whether
our methodology could provide similar results to those obtained in real-world
experiments, we study the statistical distribution of user contacts and show
that from a qualitative point of view user mobility in Second Life presents
similar traits to those of real humans. We further push our analysis to line of
sight networks that emerge from user interaction and show that they are highly
clustered. Lastly, we focus on the spatial properties of user movements and
observe that users in Second Life revolve around several point of interests
traveling in general short distances. Besides our findings, the traces
collected in this work can be very useful for trace-driven simulations of
communication schemes in delay tolerant networks and their performance
evaluation.


title:
Spin Waves in the Ferromagnetic Ground State of the Kagome Staircase
  System Co3V2O8

abstract:
  Inelastic neutron scattering measurements were performed on single crystal
Co3V2O8 wherein magnetic cobalt ions reside on distinct spine and cross-tie
sites within kagome staircase planes. This system displays a rich magnetic
phase diagram which culminates in a ferromagnetic ground state below Tc~6 K. We
have studied the low-lying magnetic excitations in this phase within the kagome
plane. Despite the complexity of the system at higher temperatures, linear
spin-wave theory describes most of the quantitative detail of the inelastic
neutron measurements. Our results show two spin-wave branches, the higher
energy of which displays finite spin-wave lifetimes well below Tc, and
negligible magnetic exchange coupling between Co moments on the spine sites.


title:
Phase separated charge density wave phase in two species extended
  Bose-Hubbard model

abstract:
  We study the quantum phase transitions in a two component bose-mixture in a
one-dimensional optical lattice. The calculations have been performed in the
framework of the extended Bose-Hubbard model using the finite size density
matrix renormalization group method. We obtain different phase transitions for
the system for integer filling. When the inter-species on-site and the nearest
neighbor interactions are larger than the intra-species on-site and also the
nearest neighbor interactions, the system exhibits a phase separated charge
density wave (PSCDW) order that is characterized by the two species being
spatially separated and existing in the density wave phases.


title: Quantum dynamics and state-dependent affine gauge fields on CP(N-1)

abstract:
  Gauge fields frequently used as an independent construction additional to
so-called wave fields of matter. This artificial separation is of course useful
in some applications (like Berry's interactions between the "heavy" and "light"
sub-systems) but it is restrictive on the fundamental level of "elementary"
particles and entangled states. It is shown that the linear superposition of
action states and non-linear dynamics of the local dynamical variables form an
oscillons of energy representing non-local particles - "lumps" arising together
with their "affine gauge potential" agrees with Fubini-Study metric.
  I use the conservation laws of local dynamical variables (LDV's) during
affine parallel transport in complex projective Hilbert space $CP(N-1)$ for
twofold aim. Firstly, I formulate the variation problem for the ``affine gauge
potential" as system of partial differential equations \cite{Le1}. Their
solutions provide embedding quantum dynamics into dynamical space-time whose
state-dependent coordinates related to the qubit spinor subjected to Lorentz
transformations of "quantum boosts" and "quantum rotations". Thereby, the
problem of quantum measurement being reformulated as the comparison of LDV's
during their affine parallel transport in $CP(N-1)$, is inherently connected
with space-time emergences. Secondly, the important application of these fields
is the completeness of quantum theory. The EPR and Schr\"odinger's Cat
paradoxes are discussed from the point of view of the restored Lorentz
invariance due to the affine parallel transport of local Hamiltonian of the
soliton-like field.


title: A complexity dichotomy for partition functions with mixed signs

abstract:
  Partition functions, also known as homomorphism functions, form a rich family
of graph invariants that contain combinatorial invariants such as the number of
k-colourings or the number of independent sets of a graph and also the
partition functions of certain "spin glass" models of statistical physics such
as the Ising model.
  Building on earlier work by Dyer, Greenhill and Bulatov, Grohe, we completely
classify the computational complexity of partition functions. Our main result
is a dichotomy theorem stating that every partition function is either
computable in polynomial time or #P-complete. Partition functions are described
by symmetric matrices with real entries, and we prove that it is decidable in
polynomial time in terms of the matrix whether a given partition function is in
polynomial time or #P-complete.
  While in general it is very complicated to give an explicit algebraic or
combinatorial description of the tractable cases, for partition functions
described by a Hadamard matrices -- these turn out to be central in our proofs
-- we obtain a simple algebraic tractability criterion, which says that the
tractable cases are those "representable" by a quadratic polynomial over the
field GF(2).


title:
Intersection homology with field coefficients: $K$-Witt spaces and
  $K$-Witt bordism

abstract:
  We construct geometric examples of pseudomanifolds that satisfy the Witt
condition for intersection homology Poincare duality with respect to certain
fields but not others. We also compute the bordism theory of $K$-Witt spaces
for an arbitrary field $K$, extending results of Siegel for $K=Q$.


title:
Lifetime measurement of the 6792 keV state in 15O, important for the
  astrophysical S factor extrapolation in 14N(p,g)15O

abstract:
  We report on a new lifetime measurement of the E_x=6792 keV state in 15O via
the Doppler-shift attenuation method at the E=259 keV resonance in the reaction
14N(p,g)15O. This subthreshold state is of particular importance for the
determination of the ground state astrophysical S factor of 14N(p,g)15O at
stellar energies. The measurement technique has been significantly improved
compared with previous work. The conclusion of a finite lifetime drawn there
cannot be confirmed with the present data. In addition, the lifetime of the two
states at E_x=5181 and 6172 keV have been measured with the same technique in
order to verify the experimental method. We observe an attenuation factor
F(tau)>0.98 for the E_x =6172 and 6792 keV states, respectively, corresponding
to tau<0.77 fs. The attenuation factor for the E_x=5181 keV state results in
F(tau)=0.78+/-0.02 corresponding to tau=8.4+/-1.0 fs in excellent agreement
with literature.


title: Variations on Descents and Inversions in Permutations

abstract:
  We study new statistics on permutations that are variations on the descent
and the inversion statistics. In particular, we consider the alternating
descent set of a permutation sigma = sigma_1sigma_2...sigma_n defined as the
set of indices i such that either i is odd and sigma_i > sigma_{i+1}, or i is
even and sigma_i < sigma_{i+1}. We show that this statistic is equidistributed
with the 3-descent set statistic on permutations sigma =
sigma_1sigma_2...sigma_{n+1} with sigma_1 = 1, defined to be the set of indices
i such that the triple sigma_i sigma_{i+1} sigma_{i+2} forms an odd permutation
of size 3. We then introduce Mahonian inversion statistics corresponding to the
two new variations of descents and show that the joint distributions of the
resulting descent-inversion pairs are the same. We examine the generating
functions involving alternating Eulerian polynomials, defined by analogy with
the classical Eulerian polynomials sum_{sigma in S_n} t^{des(sigma)+1} using
alternating descents. For the alternating descent set statistic, we define the
generating polynomial in two non-commutative variables by analogy with the
ab-index of the Boolean algebra B_n, and make observations about it. By looking
at the number of alternating inversions in alternating (down-up) permutations,
we obtain a new q-analog of the Euler number E_n and show how it emerges in a
q-analog of an identity expressing E_n as a weighted sum of Dyck paths.


title: Additivity and Distinguishability of Random Unitary Channels

abstract:
  A random unitary channel is one that is given by a convex combination of
unitary channels. It is shown that the conjectures on the additivity of the
minimum output entropy and the multiplicativity of the maximum output $p$-norm
can be equivalently restated in terms of random unitary channels. This is done
by constructing a random unitary approximation to a general quantum channel.
This approximation can be constructed efficiently, and so it is also applied to
the computational problem of distinguishing quantum circuits. It is shown that
the problem of distinguishing random unitary circuits is as hard as the problem
of distinguishing general mixed state circuits, which is complete for the class
of problems that have quantum interactive proof systems.


title: Unitarizable minimal principal series of reductive groups

abstract:
  The aim of this paper is to give an exposition of recent progress on the
determination of the unitarizable Langlands quotients of minimal principal
series for reductive groups over the real or p-adic fields in characteristic 0.


title: Cosmic Rays and Climate

abstract:
  Among the most puzzling questions in climate change is that of solar-climate
variability, which has attracted the attention of scientists for more than two
centuries. Until recently, even the existence of solar-climate variability has
been controversial - perhaps because the observations had largely involved
temporary correlations between climate and the sunspot cycle. Over the last few
years, however, diverse reconstructions of past climate change have revealed
clear associations with cosmic ray variations recorded in cosmogenic isotope
archives, providing persuasive evidence for solar or cosmic ray forcing of the
climate. However, despite the increasing evidence of its importance, solar
climate variability is likely to remain controversial until a physical
mechanism is established. Although this remains a mystery, observations suggest
that cloud cover may be influenced by cosmic rays, which are modulated by the
solar wind and, on longer time scales, by the geomagnetic field and by the
galactic environment of Earth. Two different classes of microphysical
mechanisms have been proposed to connect cosmic rays with clouds: firstly, an
influence of cosmic rays on the production of cloud condensation nuclei and,
secondly, an influence of cosmic rays on the global electrical circuit in the
atmosphere and, in turn, on ice nucleation and other cloud microphysical
processes. Considerable progress on understanding ion-aerosol-cloud processes
has been made in recent years, and the results are suggestive of a physically-
plausible link between cosmic rays, clouds and climate. However, a concerted
effort is now required to carry out definitive laboratory measurements of the
fundamental physical and chemical processes involved, and to evaluate their
climatic significance with dedicated field observations and modelling studies.


title: ESC Supernova spectroscopy of non-ESC targets

abstract:
  We present the spectra of 36 Supernovae (SNe) of various types, obtained by
the European Supernova Collaboration. Because of the spectral classification
and the phase determination at their discovery the SNe did not warrant further
study, and the spectra we present are the only available for the respective
objects. In this paper we present and discuss this material using a new
software for the automated classification of SNe spectra.
  As a validation of the software, we verify the classification and phase
estimate reported for these objects in their discovery / classification
circulars. For the comparison, the software uses the library of template
spectra of Padova-Asiago Supernova Archive (ASA).
  For each spectrum of our sample we present a brief, individual discussion,
highlighting the main characteristics and possible peculiarities. The
comparison with ASA spectra confirms the previous classification of all objects
and refines the age estimates. For our software we determine numerical limits
of "safe" spectral classification and the uncertainties of the phase
determination.


title:
On the global construction of modules over Fedosov deformation
  quantization algebra

abstract:
  Let $(M,\omega)$ be a symplectic manifold, $\mathcal{D}\subset TM$ a real
polarization on $M$ and $\wp$ a leaf of $\mathcal{D}$. We construct a
Fedosov-type star-product $\ast_L$ on $M$ such that $C^\infty (\wp)[[h]]$ has a
natural structure of left module over the deformed algebra $(C^\infty (M)[[h]],
\ast_L)$. This generalizes the results of 0708.2626.


title: Recurrence plots of sunspots, solar flux and irradiance

abstract:
  The paper shows the recurrence and cross recurrence plots of three time
series, concerning data of the solar activity. The data are the sunspot number
and the values of solar radio flux at 10.7 cm and of solar total irradiance,
which are known as highly correlated. To compare the series, the radio flux and
irradiance values are monthly averaged. Recurrence plots display the
oscillating behaviour with remarkable features. Moreover, cross recurrence
plots help in identifying time lags between the sunspot number maximum and the
maximum of radio or irradiance signals, in circumstances where the data values
are highly dispersed. Image processing is useful too, in enhancing the
monitoring. An interesting behaviour is displayed by cross recurrence plots of
irradiance, which are not symmetric with respect to the line of identity.


title: On some crystalline representations of $GL_2(Q_p)$

abstract:
  We show that the universal unitary completion of certain locally algebraic
representation of $G:=\GL_2(\Qp)$ with $p>2$ is non-zero, topologically
irreducible, admissible and corresponds to a 2-dimensional crystalline
representation with non-semisimple Frobenius via the $p$-adic Langlands
correspondence for $G$.


title: Conley index and stable sets for flows on flag bundles

abstract:
  Consider a continuous flow of automorphisms of a G-principal bundle which is
chain transitive on its compact Hausdorff base. Here G is a connected
noncompact semi-simple Lie group with finite center. The finest Morse
decomposition of the induced flows on the associated flag bundles were obtained
in previous articles. Here we describe the stable sets of these Morse
components and, under an additional assumption, their Conley indices.


title: Counting statistics of interfering Bose-Einstein condensates

abstract:
  A method is presented that is able to predict the probability of outcomes of
snapshot measurements, such as the images of the instantaneous particle density
distribution in a quantum many-body system. It is shown that a gauge-like
transformation of the phase of the many-body wave function allows one to
construct a probability generating functional, the Fourier transform of which
with respect to the "gauge" field returns the joint probability distribution to
detect any given number of particles at various locations. The method is
applied to the problem of interference of two independent clouds of
Bose-Einstein condensates, where the initially separated clouds with fixed
boson numbers expand and the density profile image of the overlapping clouds is
registered. In the limit of large particle numbers, the probability to observe
a particular image of the density profile is shown to be given by a sum of
partial probability distributions, each of which corresponds to a noisy image
of interference of two matter waves with definite phase difference. In
agreement with earlier theoretical arguments, interference fringes are,
therefore, expected in any single shot measurement, the fringe pattern randomly
varying from run to run. These results conform to the physical picture where
the Bose-Einstein clouds are in spontaneously symmetry broken states, the
hidden phases of which are revealed by the density profile measurement via the
position of the interference fringes.


title:
Algebras of Almost Periodic Functions with Bohr-Fourier Spectrum in a
  Semigroup: Hermite Property and its Applications

abstract:
  It is proved that the unital Banach algebra of almost periodic functions of
several variables with Bohr-Fourier spectrum in a given additive semigroup is
an Hermite ring. The same property holds for the Wiener algebra of functions
that in addition have absolutely convergent Bohr-Fourier series. As
applications of the Hermite property of these algebras, we study factorizations
of Wiener--Hopf type of rectangular matrix functions and the Toeplitz corona
problem in the context of almost periodic functions of several variables.


title: On the Dynamical Stability of the Solar System

abstract:
  A long-term numerical integration of the classical Newtonian approximation to
the planetary orbital motions of the full Solar System (sun + 8 planets),
spanning 20 Gyr, was performed. The results showed no severe instability
arising over this time interval. Subsequently, utilizing a bifurcation method
described by Jacques Laskar, two numerical experiments were performed with the
goal of determining dynamically allowed evolutions for the Solar System in
which the planetary orbits become unstable. The experiments yielded one
evolution in which Mercury falls onto the Sun at ~1.261Gyr from now, and
another in which Mercury and Venus collide in ~862Myr. In the latter solution,
as a result of Mercury's unstable behavior, Mars was ejected from the Solar
System at ~822Myr. We have performed a number of numerical tests that confirm
these results, and indicate that they are not numerical artifacts. Using
synthetic secular perturbation theory, we find that Mercury is destabilized via
an entrance into a linear secular resonance with Jupiter in which their
corresponding eigenfrequencies experience extended periods of commensurability.
The effects of general relativity on the dynamical stability are discussed. An
application of the bifurcation method to the outer Solar System (Jupiter,
Saturn, Uranus, and Neptune) showed no sign of instability during the course of
24Gyr of integrations, in keeping with an expected Uranian dynamical lifetime
of 10^(18) years.


title:
Cyclic brightening in the short-period WZ Sge-type cataclysmic variable
  SDSS J080434.20+510349.2

abstract:
  We have observed a new cataclysmic variable (CV) SDSS J080434.20+510349.2 and
study the origin of a long-term variability found in its light curve.
Multi-longitude time-resolved photometric observations were carried out to
analyze the uncommon behavior also found recently in two newly discovered CVs.
This study of SDSS J080434.20+510349.2 mainly concerns the understanding of the
nature of the observed double-humped light curve and its relation to a cyclic
brightening occurring during quiescence. The observations were obtained early
in 2007, when the object was at about V~17.1, 0.4 mag brighter than the
pre-outburst magnitude. The light curve shows a sinusoidal variability with an
amplitude of about 0.07 mag and a periodicity of 42.48 min, which is half of
the orbital period of the system. In addition, we have observed two
"mini-outbursts" of the system up to 0.6 mag, with a duration of about 4 days
each. The "mini-outburst" had a symmetric profile and repeated in about 32
days. Subsequent monitoring of the system shows a cyclical behaviour of such
"mini-outbursts" with a similar recurrence period. The origin of the
double-humped light curve and the periodic brightening is discussed in the
light of the evolutionary state of SDSS J080434.20+510349.2.


title:
Characterization of unitary processes with independent and stationary
  increments

abstract:
  This is a continuation of the earlier work \cite{SSS} to characterize
stationary unitary increment Gaussian processes. The earlier assumption of
uniform continuity is replaced by weak continuity and with a technical
assumption on the domain of the generator, unitary equivalence of the processes
to the solution of Hudson-Parthasarathy equation is proved.


title:
The $(L^{1},L^{1})$ bilinear Hardy-Littlewood function and Furstenberg
  averages

abstract:
  Let $(X,\mathcal{B}, \mu, T)$ be an ergodic dynamical system on a non-atomic
finite measure space. Consider the maximal function $\dis R^*:(f, g) \in
L^1\times L^1 \to R^*(f, g)(x) = \sup_{n} \frac{f(T^nx)g(T^{2n}x)}{n}.$ We show
that there exist $f$ and $g$ such that $R^*(f, g)(x)$ is not finite almost
everywhere. Two consequences are derived. The bilinear Hardy--Littlewood
maximal function fails to be a.e. finite for all functions $(f, g)\in L^1\times
L^1.$ The Furstenberg averages do not converge for all pairs of $(L^{1},L^{1})$
functions, while by a result of J. Bourgain these averages converge for all
pairs of $(L^{p},L^{q})$ functions with $\frac{1}{p}+\frac{1}{q}\leq 1.$