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Prevalence of rapid mixing in hyperbolic flows

Published online by Cambridge University Press:  01 October 1998

DMITRY DOLGOPYAT
DMITRY DOLGOPYAT
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720-3840, USA (e-mail: [email protected])
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Abstract

We providenecessary 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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 5 , October 1998 , pp. 1097 - 1114
Copyright
© 1998 Cambridge University Press

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