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Loss of Memory and Moment Bounds for Nonstationary Intermittent Dynamical Systems
Communications in Mathematical Physics ( IF 2.4 ) Pub Date : 2021-04-01 , DOI: 10.1007/s00220-021-04071-5
A. Korepanov , J. Leppänen

We study nonstationary intermittent dynamical systems, such as compositions of a (deterministic) sequence of Pomeau–Manneville maps. We prove two main results: sharp bounds on memory loss, including the “unexpected” faster rate for a large class of measures, and sharp moment bounds for Birkhoff sums and, more generally, “separately Hölder” observables.



中文翻译:

非平稳间歇动力系统的记忆和矩界损失

我们研究了非平稳的间歇动力系统,例如Pomeau–Manneville图的(确定性)序列的组成。我们证明了两个主要结果:内存丢失的明显界限,包括对于大量测量而言的“意外”更快的速率,以及伯克霍夫总和以及更普遍的“可独立的Hölder”可观测值的明显的矩界限。

更新日期:2021-04-02
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