Large and moderate deviations for slowly mixing dynamical systems
Large and moderate deviations for slowly mixing dynamical systems
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DOI：
10.1090/s0002-9939-08-09751-7
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发表时间：
2008-11
期刊：
影响因子：
--
通讯作者：
I. Melbourne
中科院分区：
文献类型：
--
作者：
I. Melbourne
我们获得了一大类具有多项式相关性衰减的非均匀双曲动力系统的大偏差结果。这包括由带有多项式尾部的 Young towers 建模的系统，扩展了 M. Nicol 和作者最近的工作，假设 。作为证明的副产品，即使在 时，我们也能获得稍微更强的结果。结果是尖锐的，因为存在获得的速率最可能的示例（例如 Pomeau-Manneville 间歇图）。此外，我们还获得了中等偏差的结果。
We obtain results on large deviations for a large class of nonuniformly hyperbolic dynamical systems with polynomial decay of correlations , . This includes systems modelled by Young towers with polynomial tails, extending recent work of M. Nicol and the author which assumed . As a byproduct of the proof, we obtain slightly stronger results even when . The results are sharp in the sense that there exist examples (such as Pomeau-Manneville intermittency maps) for which the obtained rates are best possible. In addition, we obtain results on moderate deviations.