Point Processes of Non stationary Sequences Generated by Sequential and Random Dynamical Systems

被引：0

作者：

Ana Cristina Moreira Freitas

Jorge Milhazes Freitas

Mário Magalhães

Sandro Vaienti

机构：

[1] Centro de Matemática & Faculdade de Economia da Universidade do Porto,

[2] Centro de Matemática & Faculdade de Ciências da Universidade do Porto,undefined

[3] Centro de Matemática da Universidade do Porto,undefined

[4] Aix Marseille Université,undefined

[5] Université de Toulon,undefined

[6] CNRS,undefined

[7] CPT,undefined

来源：

Journal of Statistical Physics | 2020年 / 181卷

关键词：

Recurrence for non-autonomous systems; Sequential dynamical systems; Random dynamical systems; Rare events point processes; 37A50; 60G70; 60G57; 37B20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give general sufficient conditions to prove the convergence of marked point processes that keep record of the occurrence of rare events and of their impact for non-autonomous dynamical systems. We apply the results to sequential dynamical systems associated to both uniformly and non-uniformly expanding maps and to random dynamical systems given by fibred Lasota Yorke maps.

引用

页码：1365 / 1409

页数：44

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