Hitting-time limits for some exceptional rare events of ergodic maps

Roland Zweimüller

Stochastic Processes and their Applications, 2019, vol. 129, issue 5, 1556-1567

Abstract: We discuss limit distributions for hitting-time functions of certain “exceptional” families of asymptotically rare events for ergodic probability preserving transformations. The abstract core is an inducing argument. The latter applies, for example, to shrinking intervals around periodic points (both uniformly expanding and neutral) of certain finite measure preserving interval maps. In particular, we give a complete answer to a question raised in Freitas et al. (2016).

Keywords: Limit distribution; Rare events; Hitting time statistics; Periodic points; Indifferent fixed points (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spa.2018.05.011

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