Smooth mixing Anosov flows in dimension three are exponential mixing

Masato Tsujii; Zhiyuan Zhang

Smooth mixing Anosov flows in dimension three are exponential mixing

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arxiv 2006.04293 v1 pith:U77MYSA7 submitted 2020-06-08 math.DS

Masato Tsujii , Zhiyuan Zhang This is my paper · ORCID

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keywords mixinganosovexponentialcompactdimensiondimensionalequilibriumflow

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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.

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