Abstract

We discuss two approaches for obtaining estimates of the large deviations of Birkhoff’s sums both are based on some approximation of observables. The first deals with two-sided Hölder approximation of continuous functions. The second method uses transference from estimates of the correlations to the large deviations.

中文翻译：

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通过观测值的近似，伯克霍夫和的大偏差

摘要

我们讨论了两种获取Birkhoff和的大偏差的估计的方法，它们都是基于可观测量的近似值。第一个处理连续函数的双面Hölder逼近。第二种方法使用从相关性估计到大偏差的转移。