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arXiv · 2406.12759

Stretched-exponential mixing for surface semiflows and Anosov flows

Daofei Zhang
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Abstract

For a surface semiflow that is a suspension of a \( C^{1+\alpha} \) expanding Markov interval map, we prove that, under the assumptions that the roof function is Lipschitz continuous and not cohomologous to a locally constant function, the semiflow exhibits stretched-exponential mixing with respect to the SRB measure. This result extends to hyperbolic skew-product semiflows and hyperbolic attractors. Specifically, codimension-one topologically mixing Anosov flows with Lipschitz continuous stable foliations demonstrate stretched-exponential mixing with respect to their SRB measures.

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Daofei Zhang. 2024-06-18. Stretched-exponential mixing for surface semiflows and Anosov flows. https://arxiv.org/abs/2406.12759

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