Smooth mixing Anosov flows in dimension three are exponential mixing

2020/06/08 by Masato Tsujii, Zhiyuan Zhang, Tsujii, Masato +1 · 2 citations
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · doi:10.48550/arxiv.2006.04293

openalex publication_date 2020/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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