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A Smooth Autonomous Flow with Exponential Mixing on the Three-Torus

Jiang, Nianci et al.
arXiv (All) · Papers
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dynamical-systems
We construct a smooth autonomous divergence-free vector field on $\mathbb{T}^3$ whose flow is exponentially mixing with respect to Lebesgue measure. This answers an open question about smooth autonomous exponential mixing in three dimensions. Starting from an exponentially mixing Anosov suspension f
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