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Ergodic measures are of weak product type
Published online by Cambridge University Press: 24 October 2008
Abstract
There are many results which discuss ergodicity in terms of approximate product properties. Here we work throughout with stochastically independent σ-algebras (ℰ, ℱ are independent of μ if μ (E ∩ F) =μ (E)μ(F) for all E ∊ ℰ,F ∊ ℱ), to obtain an exact product property characteristic of (a large class of) ergodic measures. The ideas are based on work of A. V. Skorokhod on admissible translates of probabilities on Hilbert space.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 129 - 145
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- Copyright © Cambridge Philosophical Society 1985
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