- 98-537 M. Hirata, Saussol B., Vaienti S.
- Statistics of return times : a general framework and new applications
(66K, LATeX 2e)
Jul 23, 98
(auto. generated ps),
of related papers
Abstract. In this paper we provide general estimates for the errors between the
distribution of the first, and more generally, the $K$th return time
(suitably rescaled) and the Poisson law for measurable dynamical
In the case that the system exhibits strong mixing properties, these
are explicitly expressed in terms of the speed of mixing. Using these
approximations, the Poisson law is finally proved to hold for a large
class of non hyperbolic systems on the interval.