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

Marc Kesseböhmer·Mehdi Slassi
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Abstract

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.

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Marc Kesseböhmer, Mehdi Slassi. 2006-03-23. Limit laws for distorted return time processes for infinite measure preserving transformations. https://doi.org/10.1142/s0219493707001962

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