Decay of correlations for certain isometric extensions of Anosov flows
Dynamical Systems
2019-08-26 v1
Abstract
We establish exponential decay of correlations of all orders for locally -accessible isometric extensions of transitive Anosov flows, under the assumption that the strong stable and strong unstable foliations of the base Anosov flow are jointly . This is accomplished by translating accessibility properties of the extension into local non-integrability estimates measured by Dolgopyat's infinitesimal transitivity group, from which we obtain contraction properties for a class of 'twisted' symbolic transfer operators.
Keywords
Cite
@article{arxiv.1908.08550,
title = {Decay of correlations for certain isometric extensions of Anosov flows},
author = {Salman Siddiqi},
journal= {arXiv preprint arXiv:1908.08550},
year = {2019}
}