Infinite measure preserving transformations with compact first regeneration
Infinite measure preserving transformations with compact first regeneration
复制标题
通过紧凑的首次再生实现无限测度保持变换
DOI：
--
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Roland Zweimüller
中科院分区：
文献类型：
--
作者：
Roland Zweimüller
本文研究了具有有限测度参考集的遍历无限测度保持变换T，使得给定第一次返回（或进入）的条件分布的密度集在适当的函数空间中是预紧的.假设经常变化的游荡率，我们建立版本的达令-卡茨定理和反正弦法律的等待时间和占领时间，适用于变换与冷漠的轨道和随机行走驱动的吉布斯-马尔可夫映射。
We study ergodic infinite measure preserving transformations T possessing reference sets of finite measure for which the set of densities of the conditional distributions given a first return (or entrance) at time n is precompact in a suitable function space. Assuming regular variation of wandering rates, we establish versions of the Darling-Kac theorem and the arcsine laws for waiting times and for occupation times which apply to transformations with indifferent orbits and to random walks driven by Gibbs-Markov maps.