Dolgopyat, Dmitry Prevalence of rapid mixing in hyperbolic flows. (English) Zbl 0918.58058 Ergodic Theory Dyn. Syst. 18, No. 5, 1097-1114 (1998). 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. Cited in 3 ReviewsCited in 51 Documents MSC: 37D99 Dynamical systems with hyperbolic behavior 37C10 Dynamics induced by flows and semiflows Keywords:suspension flow; subshift of finite type; periodic orbits PDFBibTeX XMLCite \textit{D. Dolgopyat}, Ergodic Theory Dyn. Syst. 18, No. 5, 1097--1114 (1998; Zbl 0918.58058) Full Text: DOI