On mixing and the local central limit theorem for hyperbolic flows
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge UP
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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.
Description
Scholarly article / Open access (arXiv PDF)
Keywords
hyperbolic flows, Mathematics - Dynamical Systems
Citation
Dolgopyat, D., & Nándori, P. (2017). On mixing and the local central limit theorem for hyperbolic flows. https://doi.org/10.1017/etds.2018.29