Hitting statistics for φ-mixing dynamical systems

Shaabanian, Saeed

doi:10.1080/14689367.2026.2667751

2026-07-03

PRE

Shaabanian, Saeed *

DOI：10.1080/14689367.2026.2667751

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摘要

En 中文

击中率和逃逸率是动力系统两种回归律的例子，并且一个普遍极限将它们联系起来。我们证明，对于吉布斯-马尔可夫系统或任何具有φ-混合测量的系统，对于一列嵌套集，其交集为零测集，在无短回转的情况下，此普遍极限等于1，否则小于1，由一个称为极值指数的显式公式给出。该结果的一个应用是黎曼流形上的动力系统，例如双曲映射和扩张映射，并且可以应用于任何具有适当杨氏塔的系统。

Keyword:

Hitting time statistics

open systems

escape rates

期刊

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL

IF:

0.6

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被引数:

机构

university of st andrews

学者数:

9.5K

论文数: 1.0W

被引数: 15

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