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arXiv 2007.07616math.DSmath.PR
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非平稳间歇动力系统的记忆损失与矩界

Loss of memory and moment bounds for nonstationary intermittent dynamical systems

Alexey Korepanov, Juho Leppänen

摘要:

我们研究非平稳间歇动力系统,如组成的(确定性)序列的Pomeau-Manneville地图。我们证明了两个主要结果:记忆损失的锐界,包括一大类措施的“意想不到的”更快的速度,伯克霍夫和的锐矩界,更普遍的是,“单独霍尔德”可观的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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