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
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.
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