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arXiv · 1710.08568

On mixing and the local central limit theorem for hyperbolic flows

Dmitry Dolgopyat·Péter Nándori
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Abstract

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 tower, such as Sinai billiard with finite horizon, suspensions over Pomeau-Manneville maps, and geometric Lorenz attractors.

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Dmitry Dolgopyat, Péter Nándori. 2017-10-24. On mixing and the local central limit theorem for hyperbolic flows. https://doi.org/10.1017/etds.2018.29

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