On mixing and the local central limit theorem for hyperbolic flows
Dynamical Systems
2019-12-04 v1
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.
Keywords
Cite
@article{arxiv.1710.08568,
title = {On mixing and the local central limit theorem for hyperbolic flows},
author = {Dmitry Dolgopyat and Péter Nándori},
journal= {arXiv preprint arXiv:1710.08568},
year = {2019}
}