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arXiv 1404.0645math.DS
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慢混合动力系统的矩界和集中不等式

Moment bounds and concentration inequalities for slowly mixing dynamical systems

Sébastien Gouëzel, Ian Melbourne

摘要:

我们获得了一个大类的缓慢混合动力系统,包括那些承认反常扩散的形式的稳定的法律或中心极限定理与非标准标度$(n\log n)^{1/2}$的Birkhoff和的最佳矩界,和最佳浓度不等式。

英文摘要:

We obtain optimal moment bounds for Birkhoff sums, and optimal concentration inequalities, for a large class of slowly mixing dynamical systems, including those that admit anomalous diffusion in the form of a stable law or a central limit theorem with nonstandard scaling $(n\log n)^{1/2}$.

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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