On mixing and the local central limit theorem for hyperbolic flows

Date

2017

Journal Title

Journal ISSN

Volume Title

Publisher

Cambridge UP

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