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The Bernoulli property of inner functions

Published online by Cambridge University Press:  19 September 2008

Marcos Craizer
Marcos Craizer
Affiliation:
Departamento de Matemática, Pontifícia Universidade Católica, Rua Marquês de São Vicente, 225, Rio de Janeiro - R.J., Brasil
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Abstract

Let f: D → D be an inner function with a fixed point p ∈ D, and f*: S1 → S1 be its extension to the unit circle. We prove in this paper that the Rohlin invertible extension of the system (f*, λp) is equivalent to a generalized Bernoulli shift, where λp is the harmonic measure associated with p.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 2 , June 1992 , pp. 209 - 215
Copyright
Copyright © Cambridge University Press 1992

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References

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