Limit laws for distorted return time processes for infinite measure preserving transformations

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We consider conservative ergodic measure preserving transformations on infinite measure spaces and investigate the asymptotic behaviour of distorted return time processes with respect to sets satisfying a type of Darling-Kac condition. We identify two critical cases for which we prove uniform distribution laws. For this we introduce the notion of uniformly returning sets and discuss some of their properties.
18 pages, 2 figures

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Dynamical Systems, Probability, 37A40

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http://salesiana.dossiersoluciones.com/handle/123456789/132046

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509609
 http://arxiv.org/abs/math/0509609
 Limit laws for distorted critical waiting time processes in infinite ergodic theory, Stochastics and Dynamics 7 (2007), no. 1, 103-121
 doi:10.1142/S0219493707001962

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arXiv