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Prevalence of rapid mixing in hyperbolic flows. (English) Zbl 0918.58058

Summary: The author proves necessary and sufficient conditions for a suspension flow, over a subshift of finite type, to mix faster than any power of time. Then they show that these conditions are satisfied if the flow has two periodic orbits such that the ratio of the periods cannot be well approximated by rationals.

MSC:

37D99 Dynamical systems with hyperbolic behavior
37C10 Dynamics induced by flows and semiflows
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