On mixing and the local central limit theorem for hyperbolic flows
On mixing and the local central limit theorem for hyperbolic flows
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DOI：
10.1017/etds.2018.29
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发表时间：
2017-10
影响因子：
0.9
通讯作者：
D. Dolgopyat;P'eter N'andori
中科院分区：
文献类型：
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作者：
D. Dolgopyat;P'eter N'andori
我们给出了悬浮流满足局部中心极限定理的抽象条件。我们在几个系统中检查了这些条件的有效性，包括奖励更新过程，公理A流，以及允许杨塔的系统，如具有有限视界的西奈台球，波莫诺-曼纳维尔地图上的悬架，以及几何洛伦兹吸引子。
We formulate abstract conditions under which a suspension flow satisfies the local central limit theorem. We check the validity of these conditions for several systems including reward renewal processes, Axiom A flows, as well as the systems admitting Young’s tower, such as Sinai’s billiard with finite horizon, suspensions over Pomeau–Manneville maps, and geometric Lorenz attractors.