Prevalence of rapid mixing in hyperbolic flows

@article{Dolgopyat1998PrevalenceOR,
  title={Prevalence of rapid mixing in hyperbolic flows},
  author={Dmitry Dolgopyat},
  journal={Ergodic Theory and Dynamical Systems},
  year={1998},
  volume={18},
  pages={1097-1114}
}
  • D. Dolgopyat
  • Published 1 October 1998
  • Mathematics
  • Ergodic Theory and Dynamical Systems
We provide necessary and sufficient conditions for a suspension flow, over a subshift of finite type, to mix faster than any power of time. Then we 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. 
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