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A short proof of the Ornstein theorem
Published online by Cambridge University Press: 14 June 2011
Abstract
We give a short (and fairly elementary) proof of the ‘residual Sinai theorem’ of which the Ornstein theorem is an immediate consequence. In principle, we follow the lines of [BKS] but our proof avoids any substantial quotations, in particular, invoking any characterizations of systems isomorphic to Bernoulli shifts. The core of the proof is five pages long and it relies only on standard facts in ergodic theory.
- Type
- Research Article
- Information
- Ergodic Theory and Dynamical Systems , Volume 32 , Issue 2: Daniel J. Rudolph – in Memoriam , April 2012 , pp. 587 - 597
- Copyright
- Copyright © Cambridge University Press 2011
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