title: A Catalogue of M51 type Galaxy Associations

abstract:
  A catalog of 232 apparently interacting galaxy pairs of the M51 class is
presented. Catalog members were identified from visual inspection of mult-band
images in the IRSA archive. The major findings in the compilation of this
catalog are (1) A surprisingly low number of the main galaxies in M51 systems
are early type spirals and barred spirals. (2) Over 70% of the main galaxies in
M51 systems are 2-armed spirals. (3) Some systems that were classified as M51
types in previous studies are not M51 types as defined in this catalog. There
were a number of systems previously classified as M51 systems for which the
companion is identified as an HII region within the main galaxy or a foreground
star within the Milky Way. (4) It was found that only 18% of the M51 type
companions have redshift measurements in the literature. There is a significant
need for spectroscopic study of the companions in order to improve the value of
the catalog as a sample for studying the effects of M51 type interaction on
galaxy dynamics, morphology, and star formation. Further spectroscopy will also
help constrain the statistics of possible chance projections between foreground
and background galaxies in this catalog. The catalog also contains over 430
additional systems which are classified as "possible M51" systems. The reasons
for classifying certain systems as possible M51 systems are discussed.


title: Local product structure for expansive homeomorphisms

abstract:
  Let $f\colon M\to M$ be an expansive homeomorphism with dense topologically
hyperbolic periodic points, $M$ a compact manifold. Then there is a local
product structure in an open and dense subset of $M$. Moreover, if some
topologically hyperbolic periodic point has codimension one, then this local
product structure is uniform. In particular, we conclude that the homeomorphism
is conjugated to a linear Anosov diffeomorphism of a torus.


title:
Comparative study of Higgs transition in one-component and two-component
  lattice superconductor models

abstract:
  Using Monte Carlo simulations, we study a Higgs transition in several
three-dimensional lattice realizations of the noncompact CP$^1$ model
(NCCP$^1$), a gauge theory with two complex matter fields with SU(2)
invariance. By comparing with a one-component theory, which is well understood
and has continuous transition in the inverted XY universality class, we argue
that the two-component case also has continuous Higgs transition with a larger
correlation length exponent (i.e., it is ``more continuous''). The transition
can become first order in the vicinity of a new ``Molecular'' phase, which
occurs in one of our models, but is continuous in a wide range of parameters
away from this phase. The situation is significantly clarified by studying a
model where the Molecular phase is entirely absent, and a wide regime with a
continuous transition can be readily established. The two-component theory is
also an effective description of the hedgehog-suppressed O(3) universality, and
results are relevant for the recently discussed ``deconfined quantum
criticality'' scenario for the continuous Valence Bond Solid to Neel quantum
phase transition.


title: Weights of mixed tilting sheaves and geometric Ringel duality

abstract:
  We describe several general methods for calculating weights of mixed tilting
sheaves. We introduce a notion called "non-cancellation property" which implies
a strong uniqueness of mixed tilting sheaves and enables one to calculate their
weights effectively. When we have a certain Radon transform, we prove a
geometric analogue of Ringel duality which sends tilting objects to projective
objects. We apply these methods to (partial) flag varieties and affine
(partial) flag varieties and show that the weight polynomials of mixed tilting
sheaves on flag and affine flag varieties are essentially given by
Kazhdan-Lusztig polynomials. This verifies a mixed geometric analogue of a
conjecture by W.Soergel in \cite{Sg1}.


title:
Collinear factorization for deep inelastic scattering structure
  functions at large Bjorken xB

abstract:
  We examine the uncertainty of perturbative QCD factorization for hadron
structure functions in deep inelastic scattering at a large value of the
Bjorken variable xB. We analyze the target mass correction to the structure
functions by using the collinear factorization approach in the momentum space.
We express the long distance physics of structure functions and the leading
target mass corrections in terms of parton distribution functions with the
standard operator definition. We compare our result with existing work on the
target mass correction. We also discuss the impact of a final-state jet
function on the extraction of parton distributions at large fractional momentum
x.


title:
Demonstrating the model nature of the high-temperature superconductor
  HgBa$_2$CuO$_{4+\Delta}$

abstract:
  The compound HgBa$_2$CuO$_{4+\Delta}$ (Hg1201) exhibits a simple tetragonal
crystal structure and the highest superconducting transition temperature
(T$_c$) among all single Cu-O layer cuprates, with T$_c$ = 97 K (onset) at
optimal doping. Due to a lack of sizable single crystals, experimental work on
this very attractive system has been significantly limited. Thanks to a recent
breakthrough in crystal growth, such crystals have now become available. Here,
we demonstrate that it is possible to identify suitable heat treatment
conditions to systematically and uniformly tune the hole concentration of
Hg1201 crystals over a wide range, from very underdoped (T$_c$ = 47 K, hole
concentration p ~ 0.08) to overdoped (T$_c$ = 64 K, p ~ 0.22). We then present
quantitative magnetic susceptibility and DC charge transport results that
reveal the very high-quality nature of the studied crystals. Using XPS on
cleaved samples, we furthermore demonstrate that it is possible to obtain large
surfaces of good quality. These characterization measurements demonstrate that
Hg1201 should be viewed as a model high-temperature superconductor, and they
provide the foundation for extensive future experimental work.


title:
Neutrinos from active black holes, sources of ultra high energy cosmic
  rays

abstract:
  A correlation between the highest energy Cosmic Rays (above ~ EeV) and the
distribution of active galactic nuclei (AGN) gives rise to a prediction of
neutrino production in the same sources. In this paper, we present a detailed
AGN model, predicting neutrino production near the foot of the jet, where the
photon fields from the disk and synchrotron radiation from the jet itself
create high optical depths for proton-photon interactions. The protons escape
from later shocks where the emission region is optically thin for proton-photon
interactions. Consequently, Cosmic Rays are predicted to come from FR-I
galaxies, independent of the orientation of the source. Neutrinos, on the other
hand, are only observable from sources directing their jet towards Earth, i.e.
flat spectrum radio sources and in particular BL Lac type objects, due to the
strongly boosted neutrino emission.


title:
Transparency of 0.2% GdCl3 Doped Water in a Stainless Steel Test
  Environment

abstract:
  The possibility of neutron and neutrino detection using water Cerenkov
detectors doped with gadolinium holds the promise of constructing very large
high-efficiency detectors with wide-ranging application in basic science and
national security. This study addressed a major concern regarding the
feasibility of such detectors: the transparency of the doped water to the
ultraviolet Cerenkov light. We report on experiments conducted using a 19-meter
water transparency measuring instrument and associated materials test tank.
Sensitive measurements of the transparency of water doped with 0.2% GdCl3 at
337nm, 400nm and 420nm were made using this instrument. These measurements
indicate that GdCl3 is not an appropriate dopant in stainless steel constructed
water Cerenkov detectors.


title: Vlasov limit and discreteness effects in cosmological N-body simulations

abstract:
  We present the problematic of controlling the discreteness effects in
cosmological N-body simulations. We describe a perturbative treatment which
gives an approximation describing the evolution under self-gravity of a lattice
perturbed from its equilibrium, which allows to trace the evolution of the
fully discrete distribution until the time when particles approach one another
("shell-crossing"). Perturbed lattices are typical initial conditions for
cosmological N-body simulations and thus we can describe precisely the early
time evolution of these simulations. A quantitative comparison with fluid
Lagrangian theory permits to study discreteness effects in the linear regime of
the simulations. We show finally some work in progress about quantifying
discreteness effects in the non-perturbative (highly non-linear) regime of
cosmological N-body simulations by evolving different discretizations of the
same continuous density field.


title: Hypergeometric functions and hyperbolic metric

abstract:
  We obtain new inequalities for certain hypergeometric functions. Using these
inequalities, we deduce estimates for the hyperbolic metric and the induced
distance function on a certain canonical hyperbolic plane domain.


title: Localization of ultrasound in a three-dimensional elastic network

abstract:
  After exactly half a century of Anderson localization, the subject is more
alive than ever. Direct observation of Anderson localization of electrons was
always hampered by interactions and finite temperatures. Yet, many theoretical
breakthroughs were made, highlighted by finite-size scaling, the
self-consistent theory and the numerical solution of the Anderson tight-binding
model. Theoretical understanding is based on simplified models or
approximations and comparison with experiment is crucial. Despite a wealth of
new experimental data, with microwaves, light, ultrasound and cold atoms, many
questions remain, especially for three dimensions. Here we report the first
observation of sound localization in a random three-dimensional elastic
network. We study the time-dependent transmission below the mobility edge, and
report ``transverse localization'' in three dimensions, which has never been
observed previously with any wave. The data are well described by the
self-consistent theory of localization. The transmission reveals non-Gaussian
statistics, consistent with theoretical predictions.


title:
Constraining vectors and axial-vectors in walking technicolour by a
  holographic principle

abstract:
  We use a holographic principle to study the low-energy spectrum of walking
technicolour models. In particular, we predict the masses of the axial vectors
as well as the decay constants of vectors and axial vectors as functions of the
mass of the techni-rho. Given that there are very few nonperturbative
techniques to study strongly coupled theories, using holography might provide
us with insight into how to constrain the parameters of the low-energy
effective action of walking technicolour models. We also compare our results
with findings from other setups.


title: Tracking and Vertexing with a Thin CMOS Pixel Beam Telescope

abstract:
  We present results of a study of charged particle track and vertex
reconstruction with a beam telescope made of four layers of 50 micron-thin CMOS
monolithic pixel sensors using the 120 GeV protons at the FNAL Meson Test Beam
Facility. We compare our results to the performance requirements of a future
e+e- linear collider in terms of particle track extrapolation and vertex
reconstruction accuracies.


title: Structure of Ann-categories

abstract:
  Each Ann-category $\A$ is equivalent to an Ann-category of the type $(R,M),$
where $M$ is an $R$-bimodule. The family of constraints of $A$ induces a {\it
structure} on $(R,M).$ The main result of the paper is:
  1. {\it There exists a bijection between the set of structures on $(R,M)$ and
the group of Mac Lane 3-cocycles $Z^{3}_{MaL}(R, M).$}
  2. {\it There exists a bijection between $C(R,M)$ of congruence classes of
Ann-categories whose pre-stick is of the type $(R,M)$ and the Mac Lane
cohomology group $H^3_{\textrm{MaL}}(R,M).$}


title:
A Study of e+e- -> H0A0 Production and the Constraint on Dark Matter
  Density

abstract:
  This paper reports the results of a study of the e+e- -> H0A0 process at 1
TeV performed on fully simulated and reconstructed events. The estimated
accuracies on the heavy Higgs boson masses, widths and decay branching
fractions are discussed in relation to the study of Supersymmetric Dark Matter.


title:
Maximizing the Neel temperature of fermions in a simple-cubic optical
  lattice

abstract:
  For a simple-cubic optical lattice with lattice spacing d, occupied by two
species of fermionic atoms of mass m that interact repulsively, we ask what
conditions maximize the Neel temperature in the Mott insulating phase at
density one atom per site, with equal numbers of the two species. This maximum
occurs near the edge of the regime where the system is well-approximated by the
usual Hubbard model. The correction to the Hubbard-model approximation that
produces a "direct" ferromagnetic interaction between atoms in nearest-neighbor
Wannier orbitals is the leading term that limits how high the Neel temperature
can be made.


title: Surface fluxes and tropical intraseasonal variability: a reassessment

abstract:
  The authors argue for the hypothesis that interactive feedbacks involving
surface enthalpy fluxes are important to the dynamics of tropical intraseasonal
variability. These include cloud-radiative feedbacks as well as surface
turbulent flux feedbacks; the former effectively act to transport enthalpy from
the ocean to the atmosphere, as do the latter. Evidence in favor of this
hypothesis includes the observed spatial distribution of intraseasonal variance
in precipitation and outgoing longwave radiation, the observed relationship
between intraseasonal latent heat flux and precipitation anomalies in regions
where intraseasonal variability is strong, and sensitivity experiments
performed with a small number of general circulation and idealized models.
  The authors argue that it would be useful to assess the importance of surface
fluxes to intraseasonal variability in a larger number of comprehensive
numerical models. Such an assessment could provide insight into the relevance
of interactive surface fluxes to real intraseasonal variability, perhaps making
it possible to rule out either theoretical explanations in which surface fluxes
are crucial, or those in which they are not.


title:
Chiral crossover, deconfinement and quarkyonic matter within a
  Nambu-Jona Lasinio model with the Polyakov loop

abstract:
  We study the interplay between the chiral and the deconfinement transitions,
both at high temperature and high quark chemical potential, by a non local
Nambu-Jona Lasinio model with the Polyakov loop in the mean field approximation
and requiring neutrality of the ground state. We consider three forms of the
effective potential of the Polyakov loop: two of them with a fixed
deconfinement scale, cases I and II, and the third one with a $\mu$ dependent
scale, case III. In the cases I and II, at high chemical potential $\mu$ and
low temperature $T$ the main contribution to the free energy is due to the
Z(3)-neutral three-quark states, mimicking the quarkyonic phase of the large
$N_c$ phase diagram. On the other hand in the case III the quarkyonic window is
shrunk to a small region. Finally we comment on the relations of these results
to lattice studies and on possible common prospects. We also briefly comment on
the coexistence of quarkyonic and color superconductive phases.


title: Characteristic Scales of Initial Density and Velocity Fields

abstract:
  For the initial fields of the density contrast and peculiar velocity, we
theoretically calculate the differential and integral length scales, i.e.,
statistical measures that respectively characterize the small- and large-scale
fluctuations of a random field. These length scales and the associated mass
scales explain the length and mass scales observed for (1) halos of young
galaxies at z > 5, (2) halos of galaxies at z = 0, and (3) the largest
structures in the galaxy distribution at z = 0. We thereby discuss that such
observed scales are fossil imprints of the characteristic scales of the initial
fields.


title:
Detection model based on representation of quantum particles by
  classical random fields: Born's rule and beyond

abstract:
  Recently a new attempt to go beyond quantum mechanics (QM) was presented in
the form of so called prequantum classical statistical field theory (PCSFT).
Its main experimental prediction is violation of Born's rule which provides
only an approximative description of real probabilities. We expect that it will
be possible to design numerous experiments demonstrating violation of Born's
rule. Moreover, recently the first experimental evidence of violation was found
in the triple slits interference experiment, see \cite{WWW}. Although this
experimental test was motivated by another prequantum model, it can be
definitely considered as at least preliminary confirmation of the main
prediction of PCSFT. In our approach quantum particles are just symbolic
representations of "prequantum random fields," e.g., "electron-field" or
"neutron-field"; photon is associated with classical random electromagnetic
field. Such prequantum fields fluctuate on time and space scales which are
essentially finer than scales of QM, cf. `t Hooft's attempt to go beyond QM
\cite{H1}--\cite{TH2}. In this paper we elaborate a detection model in the
PCSFT-framework. In this model classical random fields (corresponding to
"quantum particles") interact with detectors inducing probabilities which match
with Born's rule only approximately. Thus QM arises from PCSFT as an
approximative theory. New tests of violation of Born's rule are proposed.


title: Rates, Progenitors and Cosmic Mix of Type Ia Supernovae

abstract:
  Following an episode of star formation, Type Ia supernova events occur over
an extended period of time, following a distribution of delay times (DDT). We
critically discuss some empirically-based DDT functions that have been proposed
in recent years, some favoring very early (prompt) events, other very late
(tardy) ones, and therefore being mutually exclusive. We point out that in both
cases the derived DDT functions are affected by dubious assumptions, and
therefore there is currently no ground for claiming either a DDT strongly
peaked at early times, or at late ones. Theoretical DDT functions are known to
accommodate both prompt as well as late SNIa events, and can account for all
available observational constraints. Recent observational evidence exists that
both single degenerate and double degenerate precursors may be able of
producing SNIa events. We then explore on the basis of plausible theoretical
models the possible variation with cosmic time of the mix between the events
produced by the two different channels, which in principle could lead to
systematics effects on the SNIa properties with redshift.


title:
Stability of asymptotically AdS wormholes in vacuum against scalar field
  perturbations

abstract:
  The stability of certain class of asymptotically AdS wormholes in vacuum
against scalar field perturbations is analyzed. For a free massive scalar
field, the stability of the perturbation is guaranteed provided the squared
mass is bounded from below by a negative quantity. Depending on the base
manifold of the AdS asymptotics, this lower bound could be more stringent than
the Breitenlohner-Freedman bound. An exact expression for the spectrum is found
analytically. For a scalar field perturbation with a nonminimal coupling, slow
fall-off asymptotic behavior is also allowed, provided the squared mass
fulfills certain negative upper bound. Although the Ricci scalar is not
constant, an exact expression for the spectrum of the scalar field can also be
found, and three different quantizations for the scalar field can be carried
out. They are characterized by the fall-off of the scalar field, which can be
fast or slow with respect to each asymptotic region. For these perturbations,
stability can be achieved in a range of negative squared masses which depends
on the base manifold of the AdS asymptotics. This analysis also extends to a
class of gravitational solitons with a single conformal boundary.


title:
Conversion of glassy antiferromagnetic-insulating phase to equilibrium
  ferromagnetic-metallic phase by devitrification and recrystallization in Al
  substituted Pr${_{0.5}}$Ca$_{0.5}$MnO${_3}$

abstract:
  We show that Pr${_{0.5}}$Ca$_{0.5}$MnO${_3}$ with 2.5% Al substitution and
La${_{0.5}}$Ca$_{0.5}$MnO${_3}$ (LCMO) exhibit qualitatively similar and
visibly anomalous M-H curves at low temperature. Magnetic field causes a broad
first-order but irreversible antiferromagnetic (AF)-insulating (I) to
ferromagnetic (FM)-metallic (M) transition in both and gives rise to soft FM
state. However, the low temperature equilibrium state of
Pr$_{0.5}$Ca$_{0.5}$Mn$_{0.975}$Al$_{0.025}$O$_3$ (PCMAO) is FM-M whereas that
of LCMO is AF-I. In both the systems the respective equilibrium phase coexists
with the other phase with contrasting order, which is not in equilibrium, and
the cooling field can tune the fractions of the coexisting phases. It is shown
earlier that the coexisting FM-M phase behaves like `magnetic glass' in LCMO.
Here we show from specially designed measurement protocols that the AF-I phase
of PCMAO has all the characteristics of magnetic glassy states. It devitrifies
on heating and also recrystallizes to equilibrium FM-M phase after annealing.
This glass-like AF-I phase also shows similar intriguing feature observed in
FM-M magnetic glassy state of LCMO that when the starting coexisting fraction
of glass is larger, successive annealing results in larger fraction of
equilibrium phase. This similarity between two manganite systems with
contrasting magnetic orders of respective glassy and equilibrium phases points
toward a possible universality.


title: Are there long-time tails in granular flows?

abstract:
  The long-time behaviors of the velocity autocorrelation function (VACF) for
granular flows based on the optimal velocity fluid model are investigated
theoretically. It is found the long-time tail of VACF disappears in a granular
flow under the gravity.


title:
Time correlation function of the shear stress in sheared particle
  systems

abstract:
  The long-time behaviors of the time correlation function $C_\eta(t)$ of the
shear stress for three-dimensional sheared fluids are investigated
theoretically. It is found that there are the cross-overs in $C_\eta(t)$ from
$t^{-3/2}$ to $t^{-2}$ for sheared fluids of elastic particles without any
thermostat, and from $t^{-3/2}$ to $t^{-5/2}$ for isothermal sheared fluids
including granular fluids.


title:
Geometrical Representation of Sum Frequency Generation and Adiabatic
  Frequency Conversion

abstract:
  We present a geometrical representation of sum frequency generation process
in the undepleted pump approximation. The analogy of such dynamics with the
known optical Bloch equations is discussed. We use this analogy to present a
novel technique for the achievement of both high efficiency and large bandwidth
in a sum frequency conversion processes using adiabatic inversion scheme,
adapted from NMR and light-matter interaction. The adiabatic constraints are
derived in this context. Last, this adiabatic frequency conversion scheme is
realized experimentally by a proper design of adiabatic aperiodically poled KTP
device, using quasi phased matched method. In the experiments we achieved high
efficiency signal to idler conversion over a bandwidth of 140nm.


title:
Diffusion of a passive scalar by convective flows under parametric
  disorder

abstract:
  We study transport of a weakly diffusive pollutant (a passive scalar) by
thermoconvective flow in a fluid-saturated horizontal porous layer heated from
below under frozen parametric disorder. In the presence of disorder (random
frozen inhomogeneities of the heating or of macroscopic properties of the
porous matrix), spatially localized flow patterns appear below the convective
instability threshold of the system without disorder. Thermoconvective flows
crucially effect the transport of a pollutant along the layer, especially when
its molecular diffusion is weak. The effective (or eddy) diffusivity also
allows to observe the transition from a set of localized currents to an almost
everywhere intense "global" flow. We present results of numerical calculation
of the effective diffusivity and discuss them in the context of localization of
fluid currents and the transition to a "global" flow. Our numerical findings
are in a good agreement with the analytical theory we develop for the limit of
a small molecular diffusivity and sparse domains of localized currents. Though
the results are obtained for a specific physical system, they are relevant for
a broad variety of fluid dynamical systems.


title:
Constraints on the massive graviton dark matter from pulsar timing and
  precision astrometry

abstract:
  The effect of a narrow-band isotropic stochastic GW background on pulsar
timing and astrometric measurements is studied. Such a background appears in
some theories of gravity. We show that the existing millisecond pulsar timing
accuracy ($\sim 0.2 \rm{\mu s}$) strongly constrains possible observational
consequences of theory of massive gravity with spontaneous Lorentz braking
\cite{dtt:2005}, essentially ruling out significant contribution of massive
gravitons to the local dark halo density. The present-day accuracy of
astrometrical measurements ($\sim 100 \rm{\mu as}$) sets less stringent
constraints on this theory.


title:
Agnihotri-Woodward-Belkale polytope and the intersection of Klyachko
  cones

abstract:
  Agnihotri-Woodward-Belkale polytope $\Delta$ (resp. Klyachko cone $K$) is the
set of solutions of the multiplicative (resp. additive) Horn's problem, i.e.,
the set of triples of spectra of special unitary (resp. traceless Hermitian)
$n\times n$ matrices satisfying $AB=C$ (resp. $A+B=C$). $K$ is the tangent cone
of $\Delta$ at the origin. The group $G=\Bbb Z_n \oplus \Bbb Z_n$ acts
naturally on $\Delta$. In this note, we report on a computer calculation which
shows that $\Delta$ coincides with the intersection of $gK$, $g\in G$, for
$n\le 14$ but does not coincide for $n=15$. Our motivation was an attempt to
understand how to solve the multiplicative Horn problem in practice for given
conjugacy classes in SU(n).


title:
Charged hadron multiplicity fluctuations in Au+Au and Cu+Cu collisions
  from sqrt(s_NN) = 22.5 to 200 GeV

abstract:
  A comprehensive survey of event-by-event fluctuations of charged hadron
multiplicity in relativistic heavy ions is presented. The survey covers Au+Au
collisions at sqrt(s_NN) = 62.4 and 200 GeV, and Cu+Cu collisions sqrt(s_NN) =
22.5, 62.4, and 200 GeV. Fluctuations are measured as a function of collision
centrality, transverse momentum range, and charge sign. After correcting for
non-dynamical fluctuations due to fluctuations in the collision geometry within
a centrality bin, the remaining dynamical fluctuations expressed as the
variance normalized by the mean tend to decrease with increasing centrality.
The dynamical fluctuations are consistent with or below the expectation from a
superposition of participant nucleon-nucleon collisions based upon p+p data,
indicating that this dataset does not exhibit evidence of critical behavior in
terms of the compressibility of the system. An analysis of Negative Binomial
Distribution fits to the multiplicity distributions demonstrates that the heavy
ion data exhibit weak clustering properties.


title:
The VLA Survey of the Chandra Deep Field South. II. Identification and
  host galaxy properties of submillijansky sources

abstract:
  We present the optical and infrared identifications of the 266 radio sources
detected at 20 cm with the Very Large Array in the Chandra Deep Field South
(Kellermann et al. 2008). Using deep i-band Advanced Camera for Surveys, R-band
Wide Field Imager, K-band SOFI/NTT, K-band ISAAC/VLT and Spitzer imaging data,
we are able to find reliable counterparts for 254 (~95%) VLA sources. Twelve
radio sources remain unidentified and three of them are ``empty fields''. Using
literature and our own data we are able to assign redshifts to 186 (~70%) radio
sources: 108 are spectroscopic redshifts and 78 reliable photometric redshifts.
Based on the rest frame colors and morphological distributions of the host
galaxies we find evidences for a change in the submillijansky radio source
population: a) above ~ 0.08 mJy early-type galaxies are dominating; b) at flux
densities below ~0.08 mJy, starburst galaxies become dominant.


title: On higher-power moments of $\Delta(x)$(III)

abstract:
  Let $\Delta(x)$ be the error term of the Dirichlet divisor problem. An
asymptotic formula with the error term $O(T^{53/28+\epsilon})$ is established
for the integral $\int_1^T\Delta^4(x)dx.$
  Similar results are also established for some other well-known error terms in
the analytic number theory .


title: The Dolgachev Surface

abstract:
  We prove that the Dolgachev surface E(1)_{2,3} admits a handlebody
decomposition without 1- and 3- handles, and we draw the explicit picture of
this handlebody. We also locate a "cork" inside of E(1)_{2,3}, so that
E(1)_{2,3} is obtained from E(1) by twisting along this cork.


title: On the fourth power moment of $\Delta(x)$ and $E(x)$ in short intervals

abstract:
  Let $\Delta(x)$ and $E(x)$ be error terms of the sum of divisor function and
the mean square of the Riemann zeta function, respectively. In this paper their
fourth power moments for short intervals of Jutila's type are considered. We
get an asymptotic formula for $U$ in some range.


title:
Viability of nuclear $\alpha$-particle condensates A reply to N.T.
  Zinner and A.S. Jensen, arXiv:nucl/th0712.1191

abstract:
  In a recent paper, arXiv0712.1191 [nucl-th], Zinner and Jensen (ZJ) expressed
strong doubts about the concept of alpha-particle condensation in finite
nuclei. In this article we give a reply which, essentially, is point by point
(but not in the order).


title: Small values of the Lusternik-Schnirelmann category for manifolds

abstract:
  We prove that manifolds of Lusternik-Schnirelmann category 2 necessarily have
free fundamental group. We thus settle a 1992 conjecture of Gomez-Larranaga and
Gonzalez-Acuna, by generalizing their result in dimension 3, to all higher
dimensions. We also obtain some general results on the relations between the
fundamental group of a closed manifold M, the dimension of M, and the
Lusternik-Schnirelmann category of M, and relate the latter to the systolic
category of M.


title: Twisted cohomologies of wrap groups over quaternions and octonions

abstract:
  This article is devoted to the investigation of wrap groups of connected
fiber bundles over the fields of real $\bf R$, complex $\bf C$ numbers, the
quaternion skew field $\bf H$ and the octonion algebra $\bf O$. Cohomologies of
wrap groups and their structure are investigated. Sheaves of wrap groups are
constructed and studied. Moreover, twisted cohomologies and sheaves over
quaternions and octonions are investigated as well.


title: Homotopy theory of presheaves of Gamma-spaces

abstract:
  We consider the category of presheaves of Gamma-spaces, or equivalently, of
Gamma-objects in simplicial presheaves. Our main result is the construction of
stable model structures on this category parametrised by local model structures
on simplicial presheaves. If a local model structure on simplicial presheaves
is monoidal, the corresponding stable model structure on presheaves of
Gamma-spaces is monoidal and satisfies the monoid axiom. This allows us to lift
the stable model structures to categories of algebras and modules over
commutative algebras.


title: Scaling of complex polymers: new universality classes and beyond

abstract:
  We analyse scaling laws that govern macromolecules of different topology:
polymer chains, homogeneous and miktoarm star polymers in a good solvent
possibly constrained by a porous medium. The latter is modelled by
long-range-correlated disorder with a pair correlation function g(r) that
decays with a power law g(r) r^{-a} at large distances r. We show that this
type of disorder changes the universality class of the system. Within the
frames of the field-theoretical renormalization group approach we obtain the
corresponding new universal critical exponents for systems of homogeneous and
star copolymers and discuss different consequences of the architecture
dependent change of the scaling behaviour.


title:
Primordial black holes in the Dark Ages: Observational prospects for
  future 21cm surveys

abstract:
  We consider the signatures of a population of primordial black holes (PBHs)
in future observations of 21cm radiation from neutral hydrogen at high
redshift. We focus on PBHs in the mass range $5 \times 10^{10} kg \lesssim
M_{PBH} \lesssim 10^{14} kg$, which primarily influence the intergalactic
medium (IGM) by heating from direct Hawking radiation. Our computation takes
into account the black hole graybody factors and the detailed energy dependence
of photon and e+/- absorption by the IGM. We find that for black holes with
initial masses between $5 \times 10^{11} kg \lesssim M_{PBH} \lesssim 10^{14}
kg$, the signal mimics that of a decaying dark matter species. For black holes
in the range $5 \times 10^{10} kg \lesssim M_{PBH} \lesssim 5 \times 10^{11}
kg$, the late stages of evaporation produce a characteristic feature in the
21cm brightness temperature that provides a unique signature of the black hole
population. If no signal is observed, then 21cm observations will provide
significantly better constraints on PBHs in the mass range $5 \times 10^{10} kg
\lesssim M_{PBH} \lesssim 10^{12} kg$ than are currently available from the
diffuse $\gamma$-ray background.


title:
The shortcomings of semi-local and hybrid functionals: what we can learn
  from surface science studies

abstract:
  A study of the adsorption of CO on late 4d and $5d$ transition metal (111)
surfaces (Ru, Rh, Pd, Ag, Os, Ir, and Pt) considering atop and hollow site
adsorption is presented. The applied functionals include the gradient corrected
PBE and BLYP functional, and the corresponding hybrid Hartree-Fock density
functionals HSE and B3LYP. We find that PBE based hybrid functionals
(specifically HSE) yield, with the exception of Pt, the correct site order on
all considered metals, but they also considerably overestimate the adsorption
energies compared to experiment. On the other hand, the semi-local BLYP
functional and the corresponding hybrid functional B3LYP yield very
satisfactory adsorption energies and the correct adsorption site for all
surfaces. We are thus faced with a Procrustean problem: the B3LYP and BLYP
functionals seem to be the overall best choice for describing adsorption on
metal surfaces, but they simultaneously fail to account well for the properties
of the metal, vastly overestimating the equilibrium volume and underestimating
the atomization energies. Setting out from these observations, general
conclusions are drawn on the relative merits and drawbacks of various
semi-local and hybrid functionals. The discussion includes a revised version of
the PBE functional specifically optimized for bulk properties and surface
energies (PBEsol), a revised version of the PBE functional specifically
optimized to predict accurate adsorption energies (rPBE), as well as the
aforementioned BLYP functional. We conclude that no semi-local functional is
capable to describe all aspects properly, and including non-local exchange also
only improves some, but worsens other properties.


title:
ATCA and Spitzer Observations of the Binary Protostellar Systems CG30
  and BHR71

abstract:
  We present interferometric observations with resolution of ~3 arcsecs of the
isolated, low-mass protostellar double cores CG30 and BHR71 in the N2$H+(1-0)
line and at 3mm dust continuum, using the Australian Telescope Compact Array
(ATCA). The results are complemented by infrared data from the Spitzer Space
Telescope. In CG30, the 3mm dust continuum images resolve two compact sources
with a separation of ~21.7 arcsecs (~8700 AU). In BHR71, strong dust continuum
emission is detected at the position of the mid-infrared source IRS1, while
only weak emission is detected from the secondary mid-infrared source IRS2.
Assuming optically thin 3mm dust continuum emission, we derive hydrogen gas
masses of 0.05--2.1 $M_\odot$ for the four sub-cores. N2H+(1-0) line emission
is detected in both CG30 and BHR71, and is spatially associated with the
thermal dust continuum emission. We derive the velocity fields and find
symmetric velocity gradients in both sources. Assuming that these gradients are
due to core rotation, we estimate the specific angular momenta and ratios of
rotational energy to gravitational energy for all cores. We also find that the
N2H+ emission is strongly affected by the outflows, both in terms of
entrainment and molecule destruction. $Spitzer$ images show the mid-infrared
emission from all four sub-cores. All four sources appear to drive their own
outflows. Based on the ATCA and $Spitzer$ observations, we construct spectral
energy distributions (SEDs) and derive temperatures and luminosities for all
cores. Based on the morphology and velocity structure, we suggest that the
sub-cores in CG30 were formed by initial fragmentation of a filamentary
prestellar core, while those in BHR71 could originate from rotational
fragmentation of a single collapsing protostellar core.


title:
Spin-precession vortex and spin-precession supercurrent stability in
  $^3$He-B

abstract:
  The Letter analyzes stability of spin precession currents in superfluid
$^3$He-B when the precession angle is very close to 104$^\circ$. In this limit
a spin-precession vortex has a very large core, and a barrier blocking motion
of these large-core vortices across the current streamlines (phase slip)
disappears at precession-phase gradients much smaller than critical gradients
estimated from the Landau criterion. Nevertheless, spin precession currents
remain stable up to the Landau critical gradients, since in this case there is
a barrier, which blocks the phase slip at very early stage of vortex-core
nucleation. The Letter also predicts a second-order phase transition between a
parity-symmetric and parity-nonsymmetric spin-precession vortex cores at the
precession angle 126.5$^\circ$.


title:
Improved radiative corrections for (e,e'p) experiments - A novel
  approach to multi-photon bremsstrahlung

abstract:
  Radiative processes lead to important corrections to (e,e'p) experiments.
While radiative corrections can be calculated exactly in QED and to a good
accuracy also including hadronic corrections, these corrections cannot be
included into data analyses to arbitrary orders exactly. Nevertheless
consideration of multi-photon bremsstrahlung above the low-energy cut-off is
important for many (e,e'p) experiments. To date, higher-order bremsstrahlung
effects concerning electron scattering experiments have been implemented
approximately by employing the soft-photon approximation (SPA). In this paper
we propose a novel approach to multi-photon emission which partially removes
the SPA from (e,e'p) experiments. In this combined approach one hard photon is
treated exactly; and additional softer bremsstrahlung photons are taken into
account resorting to the soft-photon approximation. This partial removal of the
soft-photon approximation is shown to be relevant for the missing-energy
distribution for several kinematic settings at MAMI and TJNAF energies.


title: Modular Schr\"{o}dinger equation and dynamical duality

abstract:
  We discuss quite surprising properties of the one-parameter family of modular
(Auberson and Sabatier (1994)) nonlinear Schr\"{o}dinger equations. We develop
a unified theoretical framework for this family. Special attention is paid to
the emergent \it dual \rm time evolution scenarios which, albeit running in the
\it real time \rm parameter of the pertinent nonlinear equation, in each
considered case, may be mapped among each other by means of an "imaginary time"
transformation (more seriously, an analytic continuation in time procedure).

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


title:
Gauss-Bonnet Cosmology with Induced Gravity and Non-Minimally Coupled
  Scalar Field on the Brane

abstract:
  We construct a cosmological model with non-minimally coupled scalar field on
the brane, where Gauss-Bonnet and Induced Gravity effects are taken into
account. This model has 5D character at both high and low energy limits but
reduces to 4D gravity in intermediate scales. While induced gravity is a
manifestation of the IR limit of the model, Gauss-Bonnet term and non-minimal
coupling of scalar field and induced gravity are essentially related to UV
limit of the scenario. We study cosmological implications of this scenario
focusing on the late-time behavior of the solutions. In this setup, non-minimal
coupling plays the role of an additional fine-tuning parameter that controls
the initial density of predicted finite density big bang. Also, non-minimal
coupling has important implication on the bouncing nature of the solutions.


title: Joint measurement of two unsharp observables of a qubit

abstract:
  We present a single inequality as the necessary and sufficient condition for
two unsharp observables of a two-level system to be jointly measurable in a
single apparatus and construct explicitly the joint observables. A
complementarity inequality arising from the condition of joint measurement,
which generalizes Englert's duality inequality, is derived as the trade-off
between the unsharpnesses of two jointly measurable observables.


title: A.D. Alexandrov's problem for Busemann non-positively curved spaces

abstract:
  The paper is the last in the cycle devoted to the solution of Alexandrov's
problem for non-positively curved spaces. Here we study non-positively curved
spaces in the sense of Busemann. We prove that if $X$ is geodesically complete
connected at infinity proper Busemann space, then it has the following
characterization of isometries. For any bijection $f:X\to X$, if $f$ and
$f^{-1}$ preserve the distance 1, then $f$ is an isometry.


title:
Is the Froissart bound relevant for the total pp cross section at s=(14
  TeV)^2?

abstract:
  The Froissart bound limmits the asymptotic s->infinity behavior of
crossections by (\pi/t_0) ln ^2 (s/{(s_0)} where t_0 is the lightest exchanged
particle, or more generally the nearest ssingularity, in the t channel. We
suggest that in comparing this bound with data at energies less than those of
LHC, gluebaall masses raather than the small pion mass should be used for
(t_0)^{1/2}.


title: The action of SL(2) on abelian varieties

abstract:
  We show that the algebraic group SL(2) acts on any polarized abelian variety
A through correspondences. As a consequence we recover the action of SL(2) on
the Chow group CH(A) (with rational coefficients), and this gives rise to
Lefschetz type properties for algebraic cycles on A .


title: Quantum state redistribution based on a generalized decoupling

abstract:
  We develop a simple protocol for a one-shot version of quantum state
redistribution, which is the most general two-terminal source coding problem.
The protocol is simplified from a combination of protocols for the fully
quantum reverse Shannon and fully quantum Slepian-Wolf problems, with its
time-reversal symmetry being apparent. When the protocol is applied to the case
where the redistributed states have a tensor power structure, more natural
resource rates are obtained.


title:
Resonant inelastic x-ray scattering in electronically
  quasi-zero-dimensional CuB2O4

abstract:
  We explore the general phenomenology of resonant inelastic scattering (RIXS)
using CuB2O4, a network of CuO4 plaquettes electronically isolated by B+3 ions.
Spectra show a small number of well-separated features, and we exploit the
simple electronic structure to explore RIXS phenomenology by developing a
calculation which allows for intermediate-state effects ignored in standard
approaches. These effects are found to be non-negligible and good
correspondence between our model and experiment leads to a simple picture of
such phenomenology as the genesis of d-d excitations at the K edge and
intermediate-state interference effects.


title:
A global compact attractor for high-dimensional defocusing non-linear
  Schr\"odinger equations with potential

abstract:
  We study the asymptotic behavior of large data solutions in the energy space
$H := H^1(\R^d)$ in very high dimension $d \geq 11$ to defocusing Schr\"odinger
equations $i u_t + \Delta u = |u|^{p-1} u + Vu$ in $\R^d$, where $V \in
C^\infty_0(\R^d)$ is a real potential (which could contain bound states), and
$1+\frac{4}{d} < p < 1+\frac{4}{d-2}$ is an exponent which is
energy-subcritical and mass-supercritical. In the spherically symmetric case,
we show that as $t \to +\infty$, these solutions split into a radiation term
that evolves according to the linear Schr\"odinger equation, and a remainder
which converges in $H$ to a compact attractor $K$, which consists of the union
of spherically symmetric almost periodic orbits of the NLS flow in $H$. The
main novelty of this result is that $K$ is a \emph{global} attractor, being
independent of the initial energy of the initial data; in particular, no matter
how large the initial data is, all but a bounded amount of energy is radiated
away in the limit.


title: Evolution of Spin-Orbital-Lattice Coupling in the $R$VO$_3$ Perovskites

abstract:
  We introduce a microscopic model which unravels the physical mechanisms
responsible for the observed phase diagram of the $R$VO$_3$ perovskites. It
reveals a nontrivial interplay between superexchange, the orbital-lattice
coupling due to the GdFeO$_3$-like rotations of the VO$_6$ octahedra, and
orthorhombic lattice distortions. We find that the lattice strain affects the
onset of the magnetic and orbital order by partial suppression of orbital
fluctuations. The present approach provides also a natural explanation of the
observed reduction of magnon energies from LaVO$_3$ to YVO$_3$.


title:
A new source for a braneworld cosmological constant from a modified
  gravity model in the bulk

abstract:
  We show that a four-dimensional equation of state for a cosmological constant
term arises from a perfect fluid in the bulk in the context of a gravity model
where the scalar curvature is non-minimally coupled to the perfect fluid
Lagrangian density. The four-dimensional theory is fully determined from the
induced equations on the brane, subject to the boundary conditions derived
across the brane.


title:
Non-additive behavior of van der Walls dispersion forces due to material
  and surface geometry effects

abstract:
  We present a series of calculations of van der Waals (vdW) forces that show
non-additive behavior. The results reveal effects of geometrical dependences of
the dispersion forces, that are in strong contradictions to the results from
additivity approaches like the Lennard-Jones (LJ) pairwise interaction and the
proximity force approximation (PFA). For the simple geometries treated here
deviations appear when the effects of the materials are taken into account. We
obtain these results with a general and simple numerical method that allows for
a detailed study of the vdW interactions. The method is also accurate and fast,
and due to its generality makes the study of interactions between
three-dimensional (3D) objects, with arbitrary geometries and configurations,
feasible. We present results for normal, lateral and rotational forces.


title:
Combinatorial and model-theoretical principles related to regularity of
  ultrafilters and compactness of topological spaces. IV

abstract:
  We extend to singular cardinals the model-theoretical relation $\lambda
\stackrel{\kappa}{\Rightarrow} \mu$ introduced in P. Lipparini, The compactness
spectrum of abstract logics, large cardinals and combinatorial principles,
Boll. Unione Matematica Italiana ser. VII, {\bf 4-B} 875--903 (1990). We extend
some results obtained in Part II, finding equivalent conditions involving
uniformity of ultrafilters and the existence of certain infinite matrices. Our
present definition suggests a new compactness property for abstract logics.


title:
A continued fraction expansion for a q-tangent function: An elementary
  proof

abstract:
  We prove a continued fraction expansion for a certain $q$-tangent function
that was conjectured by the present writer, then proved by Fulmek, now in a
completely elementary way.


title: Inhomogeneous magnetic field in AdS/CFT superconductor

abstract:
  We study the holographically dual description of superconductor in
(2+1)-dimensions in the presence of inhomogeneous magnetic field and observe
that there exists type I and type II superconductor. A new feature of type
changing is observed for type I superconductor near critical temperature.


title:
Entropy production in collisions of gravitational shock waves and of
  heavy ions

abstract:
  We calculate the area of a marginally trapped surface formed by a head-on
collision of gravitational shock waves in AdS_D. We use this to obtain a lower
bound on the entropy produced after the collision. A comparison to entropy
production in heavy ion collisions is included. We also discuss an O(D-2)
remnant of conformal symmetry which is present in a class of gravitational
shock wave collisions in AdS_D and which might be approximately realized (with
D=5) in central heavy-ion collisions.


title: Amplitude Spectroscopy of a Solid-State Artificial Atom

abstract:
  The energy-level structure of a quantum system plays a fundamental role in
determining its behavior and manifests itself in a discrete absorption and
emission spectrum. Conventionally, spectra are probed via frequency
spectroscopy whereby the frequency \nu of a harmonic driving field is varied to
fulfill the conditions \Delta E = h \nu, where the driving field is resonant
with the level separation \Delta E (h is Planck's constant). Although this
technique has been successfully employed in a variety of physical systems,
including natural and artificial atoms and molecules, its application is not
universally straightforward, and becomes extremely challenging for frequencies
in the range of 10's and 100's of gigahertz. Here we demonstrate an alternative
approach, whereby a harmonic driving field sweeps the atom through its
energy-level avoided crossings at a fixed frequency, surmounting many of the
limitations of the conventional approach. Spectroscopic information is obtained
from the amplitude dependence of the system response. The resulting
``spectroscopy diamonds'' contain interference patterns and population
inversion that serve as a fingerprint of the atom's spectrum. By analyzing
these features, we determine the energy spectrum of a manifold of states with
energies from 0.01 to 120 GHz \times h in a superconducting artificial atom,
using a driving frequency near 0.1 GHz. This approach provides a means to
manipulate and characterize systems over a broad bandwidth, using only a single
driving frequency that may be orders of magnitude smaller than the energy
scales being probed.


title: Pleijel's nodal domain theorem for free membranes

abstract:
  We prove an analogue of Pleijel's nodal domain theorem for piecewise analytic
planar domains with Neumann boundary conditions. This confirms a conjecture
made by Pleijel in 1956. The proof is a combination of Pleijel's original
approach and an estimate due to Toth and Zelditch for the number of boundary
zeros of Neumann eigenfunctions.


title: A finiteness property for preperiodic points of Chebyshev polynomials

abstract:
  Let K be a number field with algebraic closure K-bar, let S be a finite set
of places of K containing the archimedean places, and let f be a Chebyshev
polynomial. We prove that if a in K-bar is not preperiodic, then there are only
finitely many preperiodic points b in K-bar which are S-integral with respect
to a.


title: Quantum Phase Tomography of a Strongly Driven Qubit

abstract:
  The interference between repeated Landau-Zener transitions in a qubit swept
through an avoided level crossing results in Stueckelberg oscillations in qubit
magnetization. The resulting oscillatory patterns are a hallmark of the
coherent strongly-driven regime in qubits, quantum dots and other two-level
systems. The two-dimensional Fourier transforms of these patterns are found to
exhibit a family of one-dimensional curves in Fourier space, in agreement with
recent observations in a superconducting qubit. We interpret these images in
terms of time evolution of the quantum phase of qubit state and show that they
can be used to probe dephasing mechanisms in the qubit.


title: Quantum Multiobservable Control

abstract:
  We present deterministic algorithms for the simultaneous control of an
arbitrary number of quantum observables. Unlike optimal control approaches
based on cost function optimization, quantum multiobservable tracking control
(MOTC) is capable of tracking predetermined homotopic trajectories to target
expectation values in the space of multiobservables. The convergence of these
algorithms is facilitated by the favorable critical topology of quantum control
landscapes. Fundamental properties of quantum multiobservable control
landscapes that underlie the efficiency of MOTC, including the multiobservable
controllability Gramian, are introduced. The effects of multiple control
objectives on the structure and complexity of optimal fields are examined. With
minor modifications, the techniques described herein can be applied to general
quantum multiobjective control problems.


title: GRB 080319B: A Naked-Eye Stellar Blast from the Distant Universe

abstract:
  Long duration gamma-ray bursts (GRBs) release copious amounts of energy
across the entire electromagnetic spectrum, and so provide a window into the
process of black hole formation from the collapse of a massive star. Over the
last forty years, our understanding of the GRB phenomenon has progressed
dramatically; nevertheless, fortuitous circumstances occasionally arise that
provide access to a regime not yet probed. GRB 080319B presented such an
opportunity, with extraordinarily bright prompt optical emission that peaked at
a visual magnitude of 5.3, making it briefly visible with the naked eye. It was
captured in exquisite detail by wide-field telescopes, imaging the burst
location from before the time of the explosion. The combination of these unique
optical data with simultaneous gamma-ray observations provides powerful
diagnostics of the detailed physics of this explosion within seconds of its
formation. Here we show that the prompt optical and gamma-ray emissions from
this event likely arise from different spectral components within the same
physical region located at a large distance from the source, implying an
extremely relativistic outflow. The chromatic behaviour of the broadband
afterglow is consistent with viewing the GRB down the very narrow inner core of
a two-component jet that is expanding into a wind-like environment consistent
with the massive star origin of long GRBs. These circumstances can explain the
extreme properties of this GRB.


title:
Ab initio calculation of low-energy collective charge-density
  excitations in MgB2

abstract:
  We present {\it ab-initio} time-dependent density-functional theory
calculation results for low-energy collective electron excitations in
$\textrm{MgB}_2$. The existence of a long-lived collective excitation
corresponding to coherent charge density fluctuations between the boron
$\sigma$- and $\pi$- bands ($\sigma\pi$ mode) is demonstrated. This mode has a
sine-like oscillating dispersion for energies below 0.5 eV. At even lower
energy we find another collective mode ($\sigma\sigma$ mode). We show the
strong impact of local-field effects on dielectric functions in MgB$_2$. These
effects account for the long q-range behavior of the modes. We discuss the
physics that these collective excitations bring to the energy region typical
for lattice vibrations.


title: Geometric phase via adiabatic manipulations of the environment

abstract:
  We show that geometric phases may be generated in a quantum system subject to
noise by adiabatic manipulations of the fluctuating fields, e.g., by variation
of the system-environment coupling. For a two-state quantum system we express
this phase in terms of the geometry of the path, traversed by the slowly
varying direction and amplitude of the fluctuations. We discuss the origin of
this phase and possibilities to separate it from the known environment-induced
modification of the Berry phase.


title:
Periodic points, linearizing maps, and the dynamical Mordell-Lang
  problem

abstract:
  We prove a dynamical version of the Mordell-Lang conjecture for subvarieties
of quasiprojective varieties X, endowed with the action of a morphism f:X -->
X. We use an analytic method based on the technique of Skolem, Mahler, and
Lech, along with results of Herman and Yoccoz from nonarchimedean dynamics.


title:
Generalization of the event-based Carnevale-Hines integration scheme for
  integrate-and-fire models

abstract:
  An event-based integration scheme for an integrate-and-fire neuron model with
exponentially decaying excitatory synaptic currents and double exponential
inhibitory synaptic currents has recently been introduced by Carnevale and
Hines. This integration scheme imposes non-physiological constraints on the
time constants of the synaptic currents it attempts to model which hamper the
general applicability. This paper addresses this problem in two ways. First, we
provide physical arguments to show why these constraints on the time constants
can be relaxed. Second, we give a formal proof showing which constraints can be
abolished. This proof rests on a generalization of the Carnevale-Hines lemma,
which is a new tool for comparing double exponentials as they naturally occur
in many cascaded decay systems including receptor-neurotransmitter dissociation
followed by channel closing. We show that this lemma can be generalized and
subsequently used for lifting most of the original constraints on the time
constants. Thus we show that the Carnevale-Hines integration scheme for the
integrate-and-fire model can be employed for simulating a much wider range of
neuron and synapse type combinations than is apparent from the original
treatment.


title: New exact solutions of relativistic hydrodynamics

abstract:
  A new class of simple and exact solutions of relativistic hydrodynamics is
presented, and the consequences are explored in data analysis. The effects of
longitudinal work and acceleration are taken into account in an advanced
estimate of the initial energy density and the life-time of the reaction.


title:
A Linear Programming Relaxation and a Heuristic for the Restless Bandit
  Problem with General Switching Costs

abstract:
  We extend a relaxation technique due to Bertsimas and Nino-Mora for the
restless bandit problem to the case where arbitrary costs penalize switching
between the bandits. We also construct a one-step lookahead policy using the
solution of the relaxation. Computational experiments and a bound for
approximate dynamic programming provide some empirical support for the
heuristic.


title: Crossing intervals of non-Markovian Gaussian processes

abstract:
  We review the properties of time intervals between the crossings at a level M
of a smooth stationary Gaussian temporal signal. The distribution of these
intervals and the persistence are derived within the Independent Interval
Approximation (IIA). These results grant access to the distribution of extrema
of a general Gaussian process. Exact results are obtained for the persistence
exponents and the crossing interval distributions, in the limit of large |M|.
In addition, the small time behavior of the interval distributions and the
persistence is calculated analytically, for any M. The IIA is found to
reproduce most of these exact results and its accuracy is also illustrated by
extensive numerical simulations applied to non-Markovian Gaussian processes
appearing in various physical contexts.

categories: cond-mat.stat-mech math-ph math.MP physics.data-an


title:
The weak type $(1,1)$ bounds for the maximal function associated to
  cubes grow to infinity with the dimension

abstract:
  Let $M_d$ be the centered Hardy-Littlewood maximal function associated to
cubes in $\mathbb{R}^d$ with Lebesgue measure, and let $c_d$ denote the lowest
constant appearing in the weak type (1,1) inequality satisfied by $M_d$.
  We show that $c_d \to \infty$ as $d\to \infty$, thus answering, for the case
of cubes, a long standing open question of E. M. Stein and J. O. Str\"{o}mberg.


title: Bass-Serre rigidity results in von Neumann algebras

abstract:
  We obtain new Bass-Serre type rigidity results for ${\rm II_1}$ equivalence
relations and their von Neumann algebras, coming from free ergodic actions of
free products of groups on the standard probability space. As an application,
we show that any non-amenable factor arising as an amalgamated free product of
von Neumann algebras $\mathcal{M}_1 \ast_B \mathcal{M}_2$ over an abelian von
Neumann algebra $B$, is prime, i.e. cannot be written as a tensor product of
diffuse factors. This gives, both in the type ${\rm II_1}$ and in the type
${\rm III}$ case, new examples of prime factors.


title: Transport in networks with multiple sources and sinks

abstract:
  We investigate the electrical current and flow (number of parallel paths)
between two sets of n sources and n sinks in complex networks. We derive
analytical formulas for the average current and flow as a function of n. We
show that for small n, increasing n improves the total transport in the
network, while for large n bottlenecks begin to form. For the case of flow,
this leads to an optimal n* above which the transport is less efficient. For
current, the typical decrease in the length of the connecting paths for large n
compensates for the effect of the bottlenecks. We also derive an expression for
the average flow as a function of n under the common limitation that transport
takes place between specific pairs of sources and sinks.


title:
Ergodicity and Central Limit Theorem in Systems with Long-Range
  Interactions

abstract:
  In this letter we discuss the validity of the ergodicity hypothesis in
theories of violent relaxation in long-range interacting systems. We base our
reasoning on the Hamiltonian Mean Field model and show that the life-time of
quasi-stationary states resulting from the violent relaxation does not allow
the system to reach a complete mixed state. We also discuss the applicability
of a generalization of the central limit theorem. In this context, we show that
no attractor exists in distribution space for the sum of velocities of a
particle other than the Gaussian distribution. The long-range nature of the
interaction leads in fact to a new instance of sluggish convergence to a
Gaussian distribution.


title: Order Statistics and Probabilistic Robust Control

abstract:
  Order statistics theory is applied in this paper to probabilistic robust
control theory to compute the minimum sample size needed to come up with a
reliable estimate of an uncertain quantity under continuity assumption of the
related probability distribution. Also, the concept of distribution-free
tolerance intervals is applied to estimate the range of an uncertain quantity
and extract the information about its distribution. To overcome the limitations
imposed by the continuity assumption in the existing order statistics theory,
we have derived a cumulative distribution function of the order statistics
without the continuity assumption and developed an inequality showing that this
distribution has an upper bound which equals to the corresponding distribution
when the continuity assumption is satisfied. By applying this inequality, we
investigate the minimum computational effort needed to come up with an reliable
estimate for the upper bound (or lower bound) and the range of a quantity. We
also give conditions, which are much weaker than the absolute continuity
assumption, for the existence of such minimum sample size. Furthermore, the
issue of making tradeoff between performance level and risk is addressed and a
guideline for making this kind of tradeoff is established. This guideline can
be applied in general without continuity assumption.


title: Fast Construction of Robustness Degradation Function

abstract:
  We develop a fast algorithm to construct the robustness degradation function,
which describes quantitatively the relationship between the proportion of
systems guaranteeing the robustness requirement and the radius of the
uncertainty set. This function can be applied to predict whether a controller
design based on an inexact mathematical model will perform satisfactorily when
implemented on the true system.


title:
Constrained Optimal Synthesis and Robustness Analysis by Randomized
  Algorithms

abstract:
  In this paper, we consider robust control using randomized algorithms. We
extend the existing order statistics distribution theory to the general case in
which the distribution of population is not assumed to be continuous and the
order statistics is associated with certain constraints. In particular, we
derive an inequality on distribution for related order statistics. Moreover, we
also propose two different approaches in searching reliable solutions to the
robust analysis and optimal synthesis problems under constraints. Furthermore,
minimum computational effort is investigated and bounds for sample size are
derived.


title: On the Binomial Confidence Interval and Probabilistic Robust Control

abstract:
  The Clopper-Pearson confidence interval has ever been documented as an exact
approach in some statistics literature. More recently, such approach of
interval estimation has been introduced to probabilistic control theory and has
been referred as non-conservative in control community. In this note, we
clarify the fact that the so-called exact approach is actually conservative. In
particular, we derive analytic results demonstrating the extent of conservatism
in the context of probabilistic robustness analysis. This investigation
encourages seeking better methods of confidence interval construction for
robust control purpose.


title: D-brane Deconstructions in IIB Orientifolds

abstract:
  With model building applications in mind, we collect and develop basic
techniques to analyze the landscape of D7-branes in type IIB compact Calabi-Yau
orientifolds, in three different pictures: F-theory, the D7 worldvolume theory
and D9-anti-D9 tachyon condensation. A significant complication is that
consistent D7-branes in the presence of O7^- planes are generically singular,
with singularities locally modeled by the Whitney Umbrella. This invalidates
the standard formulae for charges, moduli space and flux lattice dimensions. We
infer the correct formulae by comparison to F-theory and derive them
independently and more generally from the tachyon picture, and relate these
numbers to the closed string massless spectrum of the orientifold
compactification in an interesting way. We furthermore give concrete recipes to
explicitly and systematically construct nontrivial D-brane worldvolume flux
vacua in arbitrary Calabi-Yau orientifolds, illustrate how to read off D-brane
flux content, enhanced gauge groups and charged matter spectra from tachyon
matrices, and demonstrate how brane recombination in general leads to flux
creation, as required by charge conservation and by equivalence of geometric
and gauge theory moduli spaces.


title: Ranks of the Sylow 2-subgroups of the classical groups

abstract:
  We determine the ranks and normal ranks of the Sylow 2-subgroups of the
classical groups of odd characteristic.


title: Ranks of the Sylow 2-subgroups of the classical Simple groups

abstract:
  We determine the ranks of the Sylow 2-subgroups of the classical simple
groups of odd characteristic.


title:
Manifestation of Hamiltonian chaos in an open quantum system with
  ballistic atoms in an optical lattice

abstract:
  Manifestation of dynamical instability and Hamiltonian chaos in the
fundamental near-resonant matter-radiation interaction has been found
analitically and in a Monte Carlo simulation in the behavior of atoms moving in
a rigid optical lattice. Character of diffusion of spontaneously emitting atoms
changes abruptly in the range of the values of parameters and initial
conditions where their Hamiltonian dynamics is shown to be chaotic


title: Spin orbit coupling in bulk ZnO and GaN

abstract:
  Using group theory and Kane-like $\mathbf{k\cdot p}$ model together with the
L\"owdining partition method, we derive the expressions of spin-orbit coupling
of electrons and holes, including the linear-$k$ Rashba term due to the
intrinsic structure inversion asymmetry and the cubic-$k$ Dresselhaus term due
to the bulk inversion asymmetry in wurtzite semiconductors. The coefficients of
the electron and hole Dresselhaus terms of ZnO and GaN in wurtzite structure
and GaN in zinc-blende structure are calculated using the nearest-neighbor
$sp^3$ and $sp^3s^\ast$ tight-binding models separately.


title: Critical properties of edge-cubic spin model on square lattice

abstract:
  The edge-cubic spin model on square lattice is studied via Monte Carlo
simulation with cluster algorithm. By cooling the system, we found two
successive symmetry breakings, i.e., the breakdown of $O_h$ into the group of
$C_{3h}$ which then freezes into ground state configuration. To characterize
the existing phase transitions, we consider the magnetization and the
population number as order parameters. We observe that the magnetization is
good at probing the high temperature transition but fails in the analysis of
the low temperature transition. In contrast the population number performs well
in probing the low- and the high-$T$ transitions. We plot the temperature
dependence of the moment and correlation ratios of the order parameters and
obtain the high- and low-$T$ transitions at $T_h = 0.602(1)$ and
$T_l=0.5422(2)$ respectively, with the corresponding exponents of correlation
length $\nu_h=1.50(1)$ and $\nu_l=0.833(1)$. By using correlation ratio and
size dependence of correlation function we estimate the decay exponent for the
high-$T$ transition as $\eta_h=0.260(1)$. For the low-$T$ transition, $\eta_l =
0.267(1)$ is extracted from the finite size scaling of susceptibility. The
universality class of the low-$T$ critical point is the same as the 3-state
Potts model.


title:
Millisecond dip events in the 2007 RXTE/PCA data of Sco X-1 and the TNO
  size distribution

abstract:
  Millisecond dips in the RXTE/PCA archival data of Sco X-1 taken from 1996 to
2002 were reported recently. Those dips were found to be most likely caused by
instrumental dead time but may also contain some true astronomical events,
which were interpreted as the occultation of X-rays from Sco X-1 by
Trans-Neptunian Objects (TNO) of 100-m size. Here we report the results of
search for millisecond dip events with the new RXTE/PCA data of Sco X-1 taken
in year 2007. Adopting the same selection criteria as that in the previous
study, we found only 3 dip events in 72-ks data, much fewer than the 107 events
found in the 560-ks data taken from 1996 to 2002 reported earlier. The new data
provides more detailed information of individual `very large events' (VLEs),
which is not available in the old archival data. Although the number of VLEs
does not obviously increase during the occurrence of dip events, all the 3 dip
events are coincident in time with VLEs that have no flags set for any of the
propane or the 6 main xenon anodes. It is a strong indication of instrumental
effects. No significant dips which might be real occultation by 60 -- 100 m
TNOs were observed. With only 72-ks data, however, the previously proposed
possibility that about 10 percent of the dip events might not be instrumental
still cannot be strictly excluded. Using the absence of those anomalous VLEs as
the criterion for identifying non-instrumental dip events, we found, at a lower
confidence level, 4 dip events of duration 8 - 10 ms in the 72-ks data. Upper
limits to the size distribution of TNOs at the small size end are suggested.


title: On Stein's Conjecture on the Polynomial Carleson Operator

abstract:
  We prove that the generalized Carleson operator $C_d$ with polynomial phase
function is of strong type $(p,r)$, $1<r<p<\infty$; this yields a positive
answer in the $1<p<2$ case to a conjecture of Stein which asserts that for
$1<p<\infty$ we have that $C_d$ is of strong type $(p,p)$. A key ingredient in
this proof is the further extension of the {\it relational} time-frequency
perspective (introduced in \cite{q}) to the general polynomial phase.


title:
A survey for redshifted molecular and atomic absorption lines - II.
  Associated HI, OH and millimetre lines in the z >~ 3 Parkes quarter-Jansky
  flat-spectrum sample

abstract:
  We present the results of a z>2.9 survey for HI 21-cm and molecular
absorption in the hosts of radio quasars using the GMRT and the Tidbinbilla
70-m telescope. Previously published searches, which are overwhelmingly at
redshifts of z<1, exhibit a 42% detection rate (31 out of 73 sources), and the
inclusion of our survey yields a 17% detection rate (2 out of 12 sources) at
z>2.5. We therefore believe that our high redshift selection is responsible for
our exclusive non-detections, and find that at ultra-violet luminosities of
>10e23 W/Hz, 21-cm absorption has never been detected. We also find this to not
only apply to our targets, but also those at low redshift exhibiting similar
luminosities, giving zero detections out of a total of 16 sources over z=0.24
to 3.8. This is in contrast to the < 10e23 W/Hz sources where there is a near
50% detection rate of 21-cm absorption.
  The mix of 21-cm detections and non-detections is currently attributed to
orientation effects, where according to unified schemes of active galactic
nuclei, 21-cm absorption is more likely to occur in sources designated as radio
galaxies (type-2 objects, where the nucleus is viewed through dense obscuring
circumnuclear gas) than in quasars(type-1 objects, where we have a direct view
to the nucleus). However, due to the exclusively high ultra-violet luminosities
of our targets it is not clear whether orientation effects alone can wholly
account for the distribution, although there exists the possibility that the
large luminosities are indicative of a changing demographic of galaxy types. We
also find that below luminosities of ~10e23 W/Hz, both type-1 and type-2
objects have a 50% likelihood of exhibiting 21-cm absorption.


title: Avalanche Statistics of Driven Granular Slides in a Miniature Mound

abstract:
  We examine avalanche statistics of rain- and vibration-driven granular slides
in miniature sand mounds. A crossover from power-law to non power-law
avalanche-size statistics is demonstrated as a generic driving rate $\nu$ is
increased. For slowly-driven mounds, the tail of the avalanche-size
distribution is a power-law with exponent $-1.97\pm 0.31$, reasonably close to
the value previously reported for landslide volumes. The interevent occurrence
times are also analyzed for slowly-driven mounds; its distribution exhibits a
power-law with exponent $-2.670\pm 0.001$.


title: Algebra in the superextensions of groups: minimal left ideals

abstract:
  We prove that the minimal left ideals of the superextension $\lambda(Z)$ of
the discrete group $Z$ of integers are metrizable topological semigroups,
topologically isomorphic to minimal left ideals of the superextension
$\lambda(Z_2)$ of the compact group $Z_2$ of integer 2-adic numbers.


title: On isoperimetric inequalities for log-convex measures

abstract: This paper has been withdrawn by the author


title:
Bethe Equation of $\tau^{(2)}$-model and Eigenvalues of Finite-size
  Transfer Matrix of Chiral Potts Model with Alternating Rapidities

abstract:
  We establish the Bethe equation of the $\tau^{(2)}$-model in the $N$-state
chiral Potts model (including the degenerate selfdual cases) with alternating
vertical rapidities. The eigenvalues of a finite-size transfer matrix of the
chiral Potts model are computed by use of functional relations. The
significance of the "alternating superintegrable" case of the chiral Potts
model is discussed, and the degeneracy of $\tau^{(2)}$-model found as in the
homogeneous superintegrable chiral Potts model.

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


title: Star formation around the HII region Sh2-235

abstract:
  We present a picture of star formation around the HII region Sh2-235 (S235)
based upon data on the spatial distribution of young stellar clusters and the
distribution and kinematics of molecular gas around S235. We observed 13CO(1-0)
and CS(2-1) emission toward S235 with the Onsala Space Observatory 20-m
telescope and analysed the star density distribution with archival data from
the 2MASS survey. Dense molecular gas forms a shell-like structure at the
south-eastern part of S235. The young clusters found with 2MASS data are
embedded in this shell. The positional relationship of the clusters, the
molecular shell and the HII region indicates that expansion of S235 is
responsible for the formation of the clusters. The gas distribution in the S235
molecular complex is clumpy, which hampers interpretation exclusively on the
basis of the morphology of the star forming region. We use data on kinematics
of molecular gas to support the hypothesis of induced star formation, and
distinguish three basic types of molecular gas components. The first type is
primordial undisturbed gas of the giant molecular cloud, the second type is gas
entrained in motion by expansion of the HII region (this is where the embedded
clusters were formed), and the third type is a fast-moving gas, which might
have been accelerated by winds from the newly formed clusters. The clumpy
distribution of molecular gas and its kinematics around the HII region implies
that the picture of triggered star formation around S235 can be a mixture of at
least two possibilities: the "collect-and-collapse" scenario and the
compression of pre-existing dense clumps by the shock wave.


title: "Latent heat" of first-order varying pressure transitions

abstract:
  We consider the energy release associated with first-order transition by
Gibbs construction and present such energy release as an accumulation of a
series of tiny binding energy differences between over-compressed states and
stable ones. Universal formulae for the energy release from one homogeneous
phase to the other is given. We find the energy release per converted particle
varies with number density. As an example, the deconfinement phase transition
at supranuclear densities is discussed in detail. The mean energy release per
converted baryon is of order 0.1MeV in RMF theory and MIT bag descriptions for
hadronic matter and strange quark matter for a wider parameter region.


title:
Pair distribution function of strongly coupled quark gluon plasma in a
  molecule-like aggregation model

abstract:
  Pair distribution function for delocalized quarks in the strongly coupled
quark gluon plasma (sQGP) as well as in the states at intermediate stages of
crossover from hadronic matter to sQGP are calculated using a molecule-like
aggregation model. The shapes of the obtained pair distribution functions
exhibit the character of liquid. The increasing correlation length in the
process of crossover indicates a diminishing viscosity of the fluid system.


title: Exclusive photoproduction of lepton pairs at LHC

abstract:
  Exclusive photoproduction of dileptons, gamma p ->l+ l- p, will be measured
in ultraperipheral collisions at LHC. The mechanism where the lepton pair comes
from a heavy timelike photon radiated from a quark interferes with the pure QED
process gamma gamma ->l+ l- As an analog of deeply virtual Compton scattering,
this timelike Compton scattering is a way to study generalized parton
distributions in the nucleon or the nucleus. High energy kinematics will enable
to focus on gluon distributions. Nuclear effects may be scrutinized in heavy
ion collisions.


title: Disappearance of a Stacking Fault in Hard-Sphere Crystals under Gravity

abstract:
  In the first part of this paper, a review is given on the mechanism for the
disappearance of an intrinsic stacking fault in a hard-sphere (HS) crystal
under gravity, which we recently discovered by Monte Carlo (MC) simulations [A.
Mori et al., J. Chem. Phys., 124 (2006), 17450; Mol. Phys. 105 (2007), 1377].
We have observed, in the case of fcc (001) stacking, that the intrinsic
stacking fault running along an oblique direction shrunk through the gliding of
a Shockley partial dislocation at the lower end of the stacking fault. In order
to address the shortcomings and approximations of previous simulations, such as
the use of periodic boundary condition (PBC) and the fact that the fcc (001)
stacking had been realized by the stress from the small PBC box, we present an
elastic strain energy calculation for an infinite system and a MC simulation
result for HSs in a pyramidal pit under gravity. In particular, the geometry of
the latter has already been tested experimentally [S. Matsuo et al., Appl.
Phys. Lett., 82 (2003), 4283]. The advantage of using a pyramidal pit as a
template as well as the feasibility of the mechanism we describe is
demonstrated.


title: Outburst characteristics of the dwarf nova V452 Cassiopeiae

abstract:
  V452 Cas was thought to have rare outbursts, but monitoring from 2005 to 2008
has shown that the outburst interval is about one month and is weakly periodic.
Observations of seven superoutbursts over the same period shows a very
repeatable superoutburst period of 146 +/-16 days. Time series photometry of
the 2007 September superoutburst shows that the outburst reached magnitude 15.3
at maximum and had an amplitude of 3.2 magnitudes. The outburst lasted for 12
days. Early superhumps with an amplitude of 0.3 magnitudes and period of Psh =
0.08943(7) days gave way to superhumps with decreasing amplitude and Psh =
0.08870(2) days later in the outburst, corresponding to a continuous period
change Pdot/P = -9(2)x10-4 d-1 . V452 Cas has one of the smallest outburst
amplitudes and shortest superoutburst periods of typical UGSU systems.


title:
Cepheids in external galaxies. I. The maser-host galaxy NGC 4258 and the
  metallicity dependence of P-L and P-W relations

abstract:
  We perform a detailed analysis of Cepheids in NGC 4258, Magellanic Clouds and
Milky Way in order to verify the reliability of the theoretical scenario based
on a large set of nonlinear convective pulsation models. We derive Wesenheit
functions from the synthetic BVI magnitudes of the pulsators and we show that
the sign and the extent of the metallicity effect on the predicted
Period-Wesenheit (P-W) relations change according to the adopted passbands.
These P-W relations are applied to measured BVI magnitudes of NGC 4258,
Magellanic and Galactic Cepheids available in the literature. We find that
Magellanic and Galactic Cepheids agree with the metallicity dependence of the
predicted P-W relations. Concerning the NGC 4258 Cepheids, the results strongly
depend on the adopted metallicity gradient across the galactic disc. The most
recent nebular oxygen abundances support a shallower gradient and provide a
metallicity dependence that agrees well with current pulsation predictions.
Moreover, the comparison of Cepheid distances based on VI magnitudes with
distance estimates based on the revised TRGB method for external galaxies, on
the HST trigonometric parallaxes for Galactic Cepheids, and on eclipsing
binaries in the Magellanic Clouds seems to favor the metallicity correction
predicted by pulsation models. The sign and the extent of the metallicity
dependence of the Period-Wesenheit and of the Period-Luminosity relations
change according to the adopted passbands. Therefore, distances based on
different methods and/or bands should not be averaged. The use of extragalactic
Cepheids to constrain the metallicity effect requires new accurate and
extensive nebular oxygen measurements.


title: On the Probability Distribution of Superimposed Random Codes

abstract:
  A systematic study of the probability distribution of superimposed random
codes is presented through the use of generating functions. Special attention
is paid to the cases of either uniformly distributed but not necessarily
independent or non uniform but independent bit structures. Recommendations for
optimal coding strategies are derived.


title:
Stationary Strings in the Spacetime of Rotating Black Holes in
  Five-Dimensional Minimal Gauged Supergravity

abstract:
  We examine the separability properties of the equation of motion for a
stationary string near a rotating charged black hole with two independent
angular momenta in five-dimensional minimal gauged supergravity. It is known
that the separability problem for the stationary string in a general stationary
spacetime is reduced to that for the usual Hamilton-Jacobi equation for
geodesics of its quotient space with one dimension fewer. Using this fact, we
show that the "effective metric" of the quotient space does not allow the
complete separability for the Hamilton-Jacobi equation, albeit such a
separability occurs in the original spacetime of the black hole. We also show
that only for two special cases of interest the Hamilton-Jacobi equation admits
the complete separation of variables and therefore the integrability for the
stationary string motion in the original background: namely, when the black
hole has zero electric charge or it has an arbitrary electric charge, but two
equal angular momenta. We give the explicit expressions for the Killing tensors
corresponding to these cases. However, for the general black hole spacetime the
effective metric of the quotient space admits a conformal Killing tensor. We
construct the explicit expression for this tensor.


title:
FKWC-bases and geometrical identities for classical and quantum field
  theories in curved spacetime

abstract:
  Fulling, King, Wybourne and Cummings (FKWC) have proposed to expand
systematically the Riemann polynomials encountered in the context of field
theories in curved spacetime on standard bases constructed from group
theoretical considerations. They have also displayed such bases for scalar
Riemann polynomials of order eight or less in the derivatives of the metric
tensor and for tensorial Riemann polynomials of order six or less. Here we
provide a slightly modified version of the FKWC-bases as well as an important
list of geometrical relations we have used in recent works. These relations are
independent of the dimension of spacetime. In our opinion, they are helpful to
achieve quickly and easily, by hand, very tedious calculations as well as, of
course, to provide irreducible expressions for all the results obtained. They
could be very helpful to people working in gravitational physics and more
particularly (i) to treat some aspects of the classical theory of gravitational
waves such as the radiation reaction problem and (ii) to deal with
regularization and renormalization of quantum field theories, of stochastic
semiclassical gravity and of higher-order theories of gravity.


title: Resonances for non-analytic potentials

abstract:
  We consider semiclassical Schroedinger operators on R^n, with C^\infty
potentials decaying polynomially at infinity. The usual theories of resonances
do not apply in such a non-analytic framework. Here, under some additional
conditions, we show that resonances are invariantly defined up to any power of
their imaginary part. The theory is based on resolvent estimates for families
of approximating distorted operators with potentials that are holomorphic in
narrow complex sectors around R^n.


title:
X-ray absorption in Compton-thin AGN: the predictions of a model
  revisited

abstract:
  The evidence of a decrease with increasing luminosity of the fraction f_{abs}
of absorbed and Compton-thin among X-ray (2-10 keV) selected AGN is
observationally rather well supported, while that of an increase of f_{abs}
with redshift is rather controversial. In Lamastra, Perola & Matt (2006) the
gravitational effect of the SMBH on the molecular interstellar gas, in the
central region of the host galaxy, was shown to predict an anti-correlation
between f_{abs} and M_{BH}. The most recent findings on the distribution of the
Eddington ratio \lambda=L_b/L_E as a function of M_{BH} and z are used to
convert that relationship into one between f_{abs} and both bolometric (L_b)
and X-ray (L_X) luminosities at various values of z. The findings on
\lambda(M_{BH},z) are properly treated in order to ensure completeness in the
prediction of f_{abs} above a certain luminosity, at values of z=0.1, 0.35, 0.7
and >1. To verify the consequence of these findings alone, we adopted in a
first istance a distribution of gas surface density \Sigma, observed in a
sample of local spiral galaxies, irrespective of the galaxy morphological type
and z. Assuming in the \lambda(M_{BH},z) distribution the Eddington limit,
\lambda=1, as a ``natural'' cut-off, the predictions are consistent with the
existence of an anti-correlation between f_{abs} and L_X, but fail to reproduce
an increase of f_{abs} with z. Because the early type galaxies on average are
much poorer in molecular gas than late type ones, a quantitative agreement with
the local value of f_{abs} requires the existence of a correlation between
\Sigma and the central activity. An increase of typical values of \Sigma with
z, correlated with the activity, might explain an increase of f_{abs} with z.
However, at the highest luminosities f_{abs} could hardly exceed about 0.3.


title: A Simple In-Place Algorithm for In-Shuffle

abstract:
  The paper presents a simple, linear time, in-place algorithm for performing a
2-way in-shuffle which can be used with little modification for certain other
k-way shuffles.


title:
Topological events in polarization resolved angular patterns of nematic
  liquid crystal cells at varying ellipticity of incident wave

abstract:
  We study the angular structure of polarization of light transmitted through a
nematic liquid crystal (NLC) cell by analyzing the polarization state as a
function of the incidence angles and the polarization of the incident wave. The
polarization resolved angular patterns emerging after the NLC cell illuminated
by the convergent light beam are described in terms of the polarization
singularities such as C-points (points of circular polarization) and L-lines
(lines of linear polarization). For the homeotropically aligned cell, the
Stokes polarimetry technique is used to measure the polarization resolved
conoscopic patterns at different values of the ellipticity of the incident
light impinging onto the cell. Using the exact analytical expressions for the
transfer matrix we show that variations of the ellipticity induce
transformations of the angular pattern exhibiting the effect of avoided L-line
crossings and characterized by topological events such as creation and
annihilation of the C-points. The predictions of the theory are found to be in
good agreement with the experimental results.


title: 5D Einstein-Maxwell solitons and concentric rotating dipole black rings

abstract:
  We discuss the application of the solitonic techniques to the 5D
Einstein-Maxwell gravity. As an illustration we construct an exact solution
describing two concentric rotating dipole black rings. The properties of the
solution are investigated.


title: Chiral Symmetry of Nucleon Resonances in QCD sum rules

abstract:
  The QCD sum rule approach is employed in order to study chiral properties of
positive- and negative-parity nucleon resonances. It is pointed out that
nucleons with an ``exotic'' chiral property, which can be represented by local
five-quark operators, can be paired with a standard nucleon forming a single
chiral multiplet. The sum rules of the five-quark operators, however, are shown
not to couple strongly to chirally-``exotic'' nucleon resonances at the mass
region of less than 2 GeV.


title: A new view of quiet-Sun topology from Hinode/SOT

abstract:
  With the recent launch of the Hinode satellite our view of the nature and
evolution of quiet-Sun regions has been improved. In light of the new high
resolution observations, we revisit the study of the quiet Sun's topological
nature. Topology is a tool to explain the complexity of the magnetic field, the
occurrence of reconnection processes, and the heating of the corona. This
Letter aims to give new insights to these different topics. Using a
high-resolution Hinode/SOT observation of the line-of-sight magnetic field on
the photosphere, we calculate the three dimensional magnetic field in the
region above assuming a potential field. From the 3D field, we determine the
existence of null points in the magnetic configuration. From this model of a
continuous field, we find that the distribution of null points with height is
significantly different from that reported in previous studies. In particular,
the null points are mainly located above the bottom boundary layer in the
photosphere (54%) and in the chromosphere (44%) with only a few null points in
the corona (2%). The density of null points (expressed as the ratio of the
number of null points to the number of photospheric magnetic fragments) in the
solar atmosphere is estimated to be between 3% and 8% depending on the method
used to identify the number of magnetic fragments in the observed photosphere.
This study reveals that the heating of the corona by magnetic reconnection at
coronal null points is unlikely. Our findings do not rule out the heating of
the corona at other topological features. We also report the topological
complexity of the chromosphere as strongly suggested by recent observations
from Hinode/SOT.


title:
Search for a light fermiophobic Higgs boson produced via gluon fusion at
  Hadron Colliders

abstract:
  In this study, we propose new Higgs production mechanisms with multi-photon
final states in the fermiophobic limit of the Two Higgs Doublet Model. The
processes are: gg -> hh, gg -> H h followed by H -> h h and gg -> A h followed
by A -> h Z. In the fermiophobic limit, gg -> h h and gg -> A h -> h h Z would
give rise to 4 photon signature while gg -> H h -> h h h can give a 6 photon
final state. We show that both the Fermilab Tevatron and CERN's Large Hadron
Collider can probe a substantial slice of the parameter space in this
fermiophobic scenario of the Two Higgs Doublet Model. If observed the above
processes can give some information on the triple Higgs couplings involved.


title: Electronic coherence in $\delta$-Pu: A DMFT study

abstract:
  A combination of Density Functional Theory and the Dynamical Mean Field
theory (DMFT) is used to calculate the magnetic susceptibility, heat capacity,
and the temperature dependence of the valence band photoemission spectra. The
continuous-time hybridization expansion quantum Monte-Carlo is utilized to
provide the first approximation-free DMFT solution of \emph{fcc} $\delta$-Pu
which includes the full rotationally-invariant exchange interaction. We predict
that $\delta$-Pu has a Pauli-like magnetic susceptibility near ambient
temperature, as in experiment, indicating that electronic coherence causes the
absence of local moments. Additionally, We show that volume expansion causes a
crossover from incoherent to coherent electronic behavior at increasingly lower
temperatures.


title: The covariogram determines three-dimensional convex polytopes

abstract:
  The cross covariogram g_{K,L} of two convex sets K, L in R^n is the function
which associates to each x in R^n the volume of the intersection of K with L+x.
  The problem of determining the sets from their covariogram is relevant in
stochastic geometry, in probability and it is equivalent to a particular case
of the phase retrieval problem in Fourier analysis. It is also relevant for the
inverse problem of determining the atomic structure of a quasicrystal from its
X-ray diffraction image.
  The two main results of this paper are that g_{K,K} determines
three-dimensional convex polytopes K and that g_{K,L} determines both K and L
when K and L are convex polyhedral cones satisfying certain assumptions. These
results settle a conjecture of G. Matheron in the class of convex polytopes.
  Further results regard the known counterexamples in dimension n>=4. We also
introduce and study the notion of synisothetic polytopes. This concept is
related to the rearrangement of the faces of a convex polytope.


title: Absorption of phi mesons in near-threshold proton-nucleus reactions

abstract:
  In the framework of the nuclear spectral function approach for incoherent
primary proton--nucleon and secondary pion--nucleon production processes we
study the inclusive $\phi$ meson production in the interaction of 2.83 GeV
protons with nuclei. In particular, the A-dependences of the absolute and
relative $\phi$ meson yields are investigated within the different scenarios
for its in-medium width as well as for the cross section ratio $\sigma_{pn \to
pn{\phi}}/{\sigma_{pp \to pp{\phi}}}$. Our model calculations take into account
the acceptance window of the ANKE facility used in a recent experiment
performed at COSY. They show that the pion--nucleon production channel
contributes distinctly to the $\phi$ creation in heavy nuclei in the chosen
kinematics and, hence, has to be taken into consideration on close examination
of the dependences of the phi meson yields on the target mass number with the
aim to get information on its width in the medium. They also demonstrate that
the experimentally unknown ratio $\sigma_{pn \to pn{\phi}}/{\sigma_{pp \to
pp{\phi}}}$ has a weak effect on the A-dependence of the relative $\phi$ meson
production cross section at incident energy of present interest, whereas it is
found to be appreciably sensitive to the phi in-medium width, which means that
this relative observable can indeed be useful to help determine the above width
from the direct comparison the results of our calculations with the future data
from the respective ANKE-at-COSY experiment.