158,218 research outputs found
Estimation of Lyapunov spectra from space-time data
A method to estimate Lyapunov spectra from spatio-temporal data is presented,
which is well-suited to be applied to experimental situations. It allows to
characterize the high-dimensional chaotic states, with possibly a large number
of positive Lyapunov exponents, observed in spatio-temporal chaos. The method
is applied to data from a coupled map lattice
Long- and short-time asymptotics of the first-passage time of the Ornstein-Uhlenbeck and other mean-reverting processes
The first-passage problem of the Ornstein-Uhlenbeck process to a boundary is
a long-standing problem with no known closed-form solution except in specific
cases. Taking this as a starting-point, and extending to a general
mean-reverting process, we investigate the long- and short-time asymptotics
using a combination of Hopf-Cole and Laplace transform techniques. As a result
we are able to give a single formula that is correct in both limits, as well as
being exact in certain special cases. We demonstrate the results using a
variety of other models
On the properties of the transition matrix in bouncing cosmologies
We elaborate further on the evolution properties of cosmological fluctuations
through a bounce. We show this evolution to be describable either by
``transmission'' and ``reflection'' coefficients or by an effective unitary
S-matrix. We also show that they behave in a time reversal invariant way.
Therefore, earlier results are now interpreted in a different perspective and
put on a firmer basis.Comment: 4 pages, 1 figure, to appear in PR
Sigma pole position and errors of a once and twice subtracted dispersive analysis of pi-pi scattering data
We show how the new precise data on kaon decays together with forward
dispersion relations, sum rules and once- and twice-subtracted
Roy's equations allow for a precise determination of the sigma meson pole
position. We present a comparison and a study of the different sources of
uncertainties when using either once- or twice-subtracted Roy's equations to
analyze the data. Finally we present a preliminary determination of the sigma
pole from the constrained dispersive data analysis.Comment: 4 pages, 6 figures. Contribution to the proceedings of the QCD08 14th
International QCD Conference. 7-12th July 2008 Montpellier (France); one
reference removed, changed errors in Eqs (4), (5) and (7
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