Smooth mixing Anosov flows in dimension three are exponential mixing

Abstract

We show that a topologically mixing $C^{\infty }$ Anosov flow on a 3 dimensional compact manifold is exponential mixing with respect to any equilibrium measure with Holder potential.

Comments are welcome !

Cited by in corpus (5)

• Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives
• Robust Exponential Mixing and Convergence to Equilibrium for Singular Hyperbolic Attracting Sets
• First band of Ruelle resonances for contact Anosov flows in dimension $3$
• Sampling and statistical physics via symmetry
• Locating Ruelle-Pollicott resonances