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arxiv: 1601.00063 · v5 · pith:FSG7Y7TCnew · submitted 2016-01-01 · 🧮 math.DS

Exponential mixing for generic volume-preserving Anosov flows in dimension three

classification 🧮 math.DS
keywords flowsanosovmixingvolume-preservingcloseddensedimensiondimensional
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Let $M$ be a closed $3$-dimensional Riemann manifold and let $3\le r\le \infty$. We prove that there exists an open dense subset in the space of $C^r$ volume-preserving Anosov flows on $M$ such that all the flows in it are exponentially mixing.

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