Critical waiting time processes in infinite ergodic theory

Details Critical waiting time processes in infinite ergodic theory Critical waiting time processes in infinite ergodic theory

2006-07-26

arxiv.org/abs/math/0607681v1

Limit laws for distorted critical waiting time processes in infinite ergodic theory, Stochastics and Dynamics 7 (2007), no. 1,

Mathematics

Dynamical Systems

23 pages, 4 figures

Scientific paper

10.1142/S0219493707001962

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.

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