Ruelle transfer operators for contact Anosov flows and decay of correlations
classification
🧮 math.DS
math.DG
keywords
flowsanosovcontactcorrelationsdecayoperatorsruelletransfer
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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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