2,687 research outputs found
Nonlinear elliptic equations involving the p-Laplacian with mixed Dirichlet-Neumann boundary conditions
In this paper, a nonlinear differential problem involving the p-Laplacian operator with mixed boundary conditions is investigated. In particular, the existence of three non-zero solutions is established by requiring suitable behavior on the nonlinearity. Concrete examples illustrate the abstract results
Improved Action Functionals in Non-Perturbative Quantum Gravity
Models of gravity with variable G and Lambda have acquired greater relevance
after the recent evidence in favour of the Einstein theory being
non-perturbatively renormalizable in the Weinberg sense. The present paper
builds a modified Arnowitt-Deser-Misner (ADM) action functional for such models
which leads to a power-law growth of the scale factor for pure gravity and for
a massless phi**4 theory in a Universe with Robertson-Walker symmetry, in
agreement with the recently developed fixed-point cosmology. Interestingly, the
renormalization-group flow at the fixed point is found to be compatible with a
Lagrangian description of the running quantities G and Lambda.Comment: Latex file. Record without file already exists on SLAC-SPIRES, and
hence that record and the one for the present arxiv submission should become
one record onl
Role of Noise in a Market Model with Stochastic Volatility
We study a generalization of the Heston model, which consists of two coupled
stochastic differential equations, one for the stock price and the other one
for the volatility. We consider a cubic nonlinearity in the first equation and
a correlation between the two Wiener processes, which model the two white noise
sources. This model can be useful to describe the market dynamics characterized
by different regimes corresponding to normal and extreme days. We analyze the
effect of the noise on the statistical properties of the escape time with
reference to the noise enhanced stability (NES) phenomenon, that is the noise
induced enhancement of the lifetime of a metastable state. We observe NES
effect in our model with stochastic volatility. We investigate the role of the
correlation between the two noise sources on the NES effect.Comment: 13 pages, 6 figures, Eur. Phys. J. B, in pres
Cosmological Perturbations in Renormalization Group Derived Cosmologies
A linear cosmological perturbation theory of an almost homogeneous and
isotropic perfect fluid Universe with dynamically evolving Newton constant
and cosmological constant is presented. A gauge-invariant formalism
is developed by means of the covariant approach, and the acoustic propagation
equations governing the evolution of the comoving fractional spatial gradients
of the matter density, , and are thus obtained. Explicit solutions
are discussed in cosmologies where both and vary according to
renormalization group equations in the vicinity of a fixed point.Comment: 22 pages, revtex, subeqn.sty, to appear on IJMP
Networks of equities in financial markets
We review the recent approach of correlation based networks of financial
equities. We investigate portfolio of stocks at different time horizons,
financial indices and volatility time series and we show that meaningful
economic information can be extracted from noise dressed correlation matrices.
We show that the method can be used to falsify widespread market models by
directly comparing the topological properties of networks of real and
artificial markets.Comment: 9 pages, 8 figures. Accepted for publication in EPJ
The MEV project: design and testing of a new high-resolution telescope for Muography of Etna Volcano
The MEV project aims at developing a muon telescope expressly designed for
the muography of Etna Volcano. In particular, one of the active craters in the
summit area of the volcano would be a suitable target for this experiment. A
muon tracking telescope with high imaging resolution was built and tested
during 2017. The telescope is a tracker based on extruded scintillating bars
with WLS fibres and featuring an innovative read-out architecture. It is
composed of three XY planes with a sensitive area of \SI{1}{m^2}; the angular
resolution does not exceeds \SI{0.4}{\milli\steradian} and the total angular
aperture is about \SI{45}{\degree}. A special effort concerned the design
of mechanics and electronics in order to meet the requirements of a detector
capable to work in a hostile environment such as the top of a tall volcano, at
a far distance from any facility. The test phase started in January 2017 and
ended successfully at the end of July 2017. An extinct volcanic crater (the
Monti Rossi, in the village of Nicolosi, about 15km from Catania) is the target
of the measurement. The detector acquired data for about 120 days and the
preliminary results are reported in this work
Progress report on solar age calibration
We report on an ongoing investigation into a seismic calibration of solar
models designed for estimating the main-sequence age and a measure of the
chemical abundances of the Sun. Only modes of low degree are employed, so that
with appropriate modification the procedure could be applied to other stars. We
have found that, as has been anticipated, a separation of the contributions to
the seismic frequencies arising from the relatively smooth, glitch-free,
background structure of the star and from glitches produced by helium
ionization and the abrupt gradient change at the base of the convection zone
renders the procedure more robust than earlier calibrations that fitted only
raw frequencies to glitch-free asymptotics. As in the past, we use asymptotic
analysis to design seismic signatures that are, to the best of our ability,
contaminated as little as possible by those uncertain properties of the star
that are not directly associated with age and chemical composition. The
calibration itself, however, employs only numerically computed
eigenfrequencies. It is based on a linear perturbation from a reference model.
Two reference models have been used, one somewhat younger, the other somewhat
older than the Sun. The two calibrations, which use BiSON data, are
more-or-less consistent, and yield a main-sequence age Gy, coupled with a formal initial heavy-element abundance .
The error analysis has not yet been completed, so the estimated precision must
be taken with a pinch of salt.Comment: 8 pages, 3 figures, in L. Deng, K.L. Chan, C. Chiosi, eds, The Art of
Modelling Stars in the 21st Century, Proc. IAU Symp. No. 252, invited
contributed pape
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