Smooth mixing Anosov flows in dimension three are exponentially mixing

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.

Authors

Masato Tsujii

Kyushu University, Fukuoka, Japan

Zhiyuan Zhang

Institut Galilée, Université Paris 13, CNRS UMR 7539, Villetaneuse, France