Mathematics – Dynamical Systems
Scientific paper
2005-09-26
Limit laws for distorted critical waiting time processes in infinite ergodic theory, Stochastics and Dynamics 7 (2007), no. 1,
Mathematics
Dynamical Systems
18 pages, 2 figures
Scientific paper
10.1142/S0219493707001962
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.
Kesseböhmer Marc
Slassi Mehdi
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