On the Bernoulli nature of systems with some hyperbolic structure

Donald Ornstein*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)441-456
Number of pages16
JournalErgodic Theory and Dynamical Systems
Volume18
Issue number2
DOIs
StatePublished - Apr 1998

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