Mixing for invertible infinite measure systems
Dynamical Systems
2016-05-03 v2
Abstract
In a recent paper, Melbourne and Terhesiu [Operator renewal theory and mixing rates for dynamical systems with infinite measure, Invent. Math. 189 (2012), 61-110] obtained results on mixing and mixing rates for a large class of noninvertible maps preserving an infinite ergodic invariant measure. Here, we are concerned with extending these results to the invertible setting. Mixing is established for a large class of infinite measure invertible maps. Assuming additional structure, in particular exponential contraction along stable manifolds, it is possible to obtain good results on mixing rates and higher order asymptotics.
Cite
@article{arxiv.1404.4951,
title = {Mixing for invertible infinite measure systems},
author = {Ian Melbourne},
journal= {arXiv preprint arXiv:1404.4951},
year = {2016}
}
Comments
Numbering of theorems etc updated to agree with numbering system of the published version