Ruelle transfer operators for contact Anosov flows and decay of correlations

Abstract

We prove exponential decay of correlations for Hölder 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.

67 pages

References in corpus (1)

• Band structure of the Ruelle spectrum of contact Anosov flows