Smooth mixing Anosov flows in dimension three are exponentially mixing

Masato Tsujii; Zhiyuan Zhang

doi:10.4007/annals.2023.197.1.2

January 2023 Smooth mixing Anosov flows in dimension three are exponentially mixing

Masato Tsujii, Zhiyuan Zhang

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Abstract

We show that a topologically mixing $C^\infty$ Anosov flow on a 3-dimensional compact manifold is exponentially mixing with respect to any equilibrium measure with Hölder potential.

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Masato Tsujii and Zhiyuan Zhang "Smooth mixing Anosov flows in dimension three are exponentially mixing," Annals of Mathematics 197(1), 65-158, (January 2023). https://doi.org/10.4007/annals.2023.197.1.2

Published: January 2023

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