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Prevalence of rapid mixing—II: topological prevalence

Published online by Cambridge University Press:  01 August 2000

DMITRY DOLGOPYAT
DMITRY DOLGOPYAT
Affiliation:
Department of Mathematics, Penn State University, University Park, PA 16802, USA (e-mail: dolgop@math.psu.edu; web site: http://www.math.psu.edu/dolgop/)
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Abstract

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 (1997), 354–363).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 4 , August 2000 , pp. 1045 - 1059
Copyright
2000 Cambridge University Press

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