Ruelle transfer operators for contact Anosov flows and decay of correlations

2013/01/29 by Luchezar Stoyanov, Stoyanov, Luchezar · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Chaos control and synchronization

paper · pdf · doi:10.48550/arxiv.1301.6855

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.

Citations

• Recurrence times and rates of mixing

Cited by

• Quantitative Pesin theory for Anosov diffeomorphisms and flows

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