论文标题

具有次指数衰减相关性的动态系统的偏差和浓度不平等

Deviation and concentration inequalities for dynamical systems with subexponential decay of correlation

论文作者

Cuny, C, Dedecker, J, Merlevède, F

论文摘要

对于一类不均匀扩展的地图,我们获得了较大和中等的偏差估计值以及浓度不平等,并具有伸展的相关性衰减。在较大的偏差状态中,我们还展示了所获得的上限本质上是最佳的示例。

We obtain large and moderate deviation estimates, as well as concentration inequalities, for a class of nonuniformly expanding maps with stretched exponential decay of correlations. In the large deviation regime, we also exhibit examples showing that the obtained upper bounds are essentially optimal.

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