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

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:129

Article

Zweimueller, Roland¹ 

[1] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

关键词: Limit distribution;    Rare events;    Hitting time statistics;    Periodic points;    Indifferent fixed points;   

DOI  :  10.1016/j.spa.2018.05.011

来源: Elsevier

【 摘 要 】

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). (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free