Sharp large deviations for some hyperbolic systems
Vesselin Petkov, Luchezar Stoyanov
对于某些模型，我们证明了一个关于区间以亚指数速度缩小的急剧大偏差原理，该模型涉及与公理A流的马尔可夫族相关的庞加莱映射，该公理A流限制在满足一些附加正则性假设的基本集合$Λ$上。
We prove a sharp large deviation principle concerning intervals shrinking with sub-exponential speed for certain models involving the Poincaré map related to a Markov family for an Axiom A flow restricted to a basic set $Λ$ satisfying some additional regularity assumptions.
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