Polynomial decay of correlations for flows, including Lorentz gas examples
Dynamical Systems
2021-08-04 v4
Abstract
We prove sharp results on polynomial decay of correlations for nonuniformly hyperbolic flows. Applications include intermittent solenoidal flows and various Lorentz gas models including the infinite horizon Lorentz gas.
Cite
@article{arxiv.1710.02671,
title = {Polynomial decay of correlations for flows, including Lorentz gas examples},
author = {Peter Balint and Oliver Butterley and Ian Melbourne},
journal= {arXiv preprint arXiv:1710.02671},
year = {2021}
}
Comments
Numerous corrections and clarifications. Statements for main results and examples unchanged. (Sections 1, 2 and 3 are unchanged.)