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On the Bernoulli nature of systems with some hyperbolic structure

Published online by Cambridge University Press:  01 April 1998

DONALD ORNSTEIN  and
BENJAMIN WEISS
DONALD ORNSTEIN
Affiliation:
Department of Mathematics, Stanford University, Stanford, CA 94305, USA
BENJAMIN WEISS
Affiliation:
Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel
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Abstract

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It is shown that systems with hyperbolic structure have the Bernoulli property. Some new results on smooth cross-sections of hyperbolic Bernoulli flows are also derived. The proofs involve an abstract version of our original methods for showing that the geodesic flow on surfaces of negative curvature are Bernoulli.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 2 , April 1998 , pp. 441 - 456
Copyright
1998 Cambridge University Press