Prevalence of rapid mixing—II: topological prevalence

@article{Dolgopyat2000PrevalenceOR,
  title={Prevalence of rapid mixing—II: topological prevalence},
  author={Dmitry Dolgopyat},
  journal={Ergodic Theory and Dynamical Systems},
  year={2000},
  volume={20},
  pages={1045 - 1059}
}
  • D. Dolgopyat
  • Published 1 August 2000
  • Mathematics
  • Ergodic Theory and Dynamical Systems
We continue the study of mixing properties of generic hyperbolic flows started in an earlier paper (D. Dolgopyat. Prevalence of rapid mixing in hyperbolic flows. Erg. Th.& Dyn. Sys.18 (1998), 1097–1114). Our main result is that generic suspension flow over subshifts of finite type is exponentially mixing. This is a quantitative version of an earlier result of Parry and Pollicott (W. Parry and M. Pollicott. Stability of mixing for toral extensions of hyperbolic systems. Proc. Steklov Inst.216… 
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