Critical waiting time processes in infinite ergodic theory

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We study limit laws for return time processes defined on infinite conservative ergodic measure preserving dynamical systems. Especially for the critical cases with purely atomic limiting distribution we derive distorted processes posessing non-degenerated limits. For these processes also large deviation asymptotics are stated. The Farey map is used as an illustrating example giving new insides into the metric number theory of continued fractions.
23 pages, 4 figures

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Dynamical Systems, Number Theory, 37A40; 11K50

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http://salesiana.dossiersoluciones.com/handle/123456789/132048

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607681
 http://arxiv.org/abs/math/0607681
 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