Critical waiting time processes in infinite ergodic theory

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dc.creatorKesseböhmer, Marc
dc.creatorSlassi, Mehdi
dc.date2006-07-26
dc.date.accessioned2026-07-07T08:11:12Z
dc.date.available2026-07-07T08:11:12Z
dc.descriptionWe 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.
dc.description23 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0607681
dc.identifierhttp://arxiv.org/abs/math/0607681
dc.identifierLimit laws for distorted critical waiting time processes in infinite ergodic theory, Stochastics and Dynamics 7 (2007), no. 1, 103-121
dc.identifierdoi:10.1142/S0219493707001962
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132048
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37A40; 11K50
dc.titleCritical waiting time processes in infinite ergodic theory
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