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.

中文翻译：

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具有次指数相关性衰减的动力系统的偏差和浓度不等式

对于一类具有拉伸指数衰减相关性的非均匀扩展图，我们获得了大的和中等的偏差估计以及浓度不等式。在大偏差情况下，我们还展示了一些例子，表明所获得的上限本质上是最优的。