Ornstein isomorphism theorem
id:
ornstein-isomorphism-theorem-250-3289944
title:
Ornstein isomorphism theorem
text:
In mathematics, the Ornstein isomorphism theorem is a deep result in ergodic theory. It states that if two Bernoulli schemes have the same Kolmogorov entropy, then they are isomorphic. The result, given by Donald Ornstein in 1970, is important because it states that many systems previously believed to be unrelated are in fact isomorphic; these include all finite stationary stochastic processes, including Markov chains and subshifts of finite type, Anosov flows and Sinai's billiards, ergodic auto
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Ornstein_isomorphism_theorem
date created:
date modified:
2023-08-18T10:58:32Z
main entity:
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