Ergodic Theory and Dynamical Systems



On the mixing of Axiom A attracting flows and a conjecture of Ruelle


MARK POLLICOTT a1
a1 Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK (e-mail: mp@ma.man.ac.uk)

Abstract

In this paper we show that the recent work of Dolgopiat and earlier work of the author give a rich class of examples of Axiom A attracting flows which mix exponentially fast. As an immediate corollary we have a proof of a conjecture of Ruelle.

(Received December 20 1996)
(Revised July 27 1997)