Article contents
Return- and hitting-time limits for rare events of null-recurrent Markov maps
Published online by Cambridge University Press: 13 October 2015
Abstract
We determine limit distributions for return- and hitting-time functions of certain asymptotically rare events for conservative ergodic infinite measure preserving transformations with regularly varying asymptotic type. Our abstract result applies, in particular, to shrinking cylinders around typical points of null-recurrent renewal shifts and infinite measure preserving interval maps with neutral fixed points.
- Type
- Research Article
- Information
- Copyright
- © Cambridge University Press, 2015
References
- 5
- Cited by