Ruelle transfer operators for contact Anosov flows and decay of correlations
Dynamical Systems
2017-02-14 v9 Differential Geometry
Abstract
We prove exponential decay of correlations for H\"older continuous observables with respect to any Gibbs measure for contact Anosov flows admitting Pesin sets with exponentially small tails. This is achieved by establishing strong spectral estimates for certain Ruelle transfer operators for such flows.
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Cite
@article{arxiv.1301.6855,
title = {Ruelle transfer operators for contact Anosov flows and decay of correlations},
author = {Luchezar Stoyanov},
journal= {arXiv preprint arXiv:1301.6855},
year = {2017}
}
Comments
67 pages