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On the Bernoulli property for rational maps

Published online by Cambridge University Press:  19 September 2008

Ricardo Mañé
Ricardo Mañé
Affiliation:
Instituto de MatemáticaPura e Aplicada, Rio de Janeiro, Brasil
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Abstract

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Every rational function ƒ with degree has a unique invariant probability ƒƒ that maximizes entropy. It has been conjectured that the system (ƒ, μƒ) is equivalent to the one sided Bernoulli shift . In this paper we prove that there exists m >0 such that (ƒm, ƒƒ) is equivalent to .

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 1 , March 1985 , pp. 71 - 88
Copyright
Copyright © Cambridge University Press 1985

References

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