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

Department of Mathematics, Kyushu University, Fukuoka 819-0395, Japan

Zhiyuan Zhang

Institut Galilée, Université Paris 13, CNRS UMR 7539, 99 avenue Jean-Baptiste Clément, 93439 - Villetaneuse, France