# 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} }

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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