Geodesic flows are Bernoullian

Donald Ornstein; Benjamin Weiss

doi:10.1007/BF02762673

Geodesic flows are Bernoullian

Donald Ornstein^*, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

84 Scopus citations

Abstract

A geometric method is developed for proving that transformations are isomorphic to Bernoulli shifts. The method is applied to the geodesic flows on surfaces of negative curvature and it is shown that they are isomorphic to Bernoulli flows.

Original language	English
Pages (from-to)	184-198
Number of pages	15
Journal	Israel Journal of Mathematics
Volume	14
Issue number	2
DOIs	https://doi.org/10.1007/BF02762673
State	Published - Jun 1973

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title = "Geodesic flows are Bernoullian",

abstract = "A geometric method is developed for proving that transformations are isomorphic to Bernoulli shifts. The method is applied to the geodesic flows on surfaces of negative curvature and it is shown that they are isomorphic to Bernoulli flows.",

author = "Donald Ornstein and Benjamin Weiss",

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Geodesic flows are Bernoullian

Abstract

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