# 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