Source: wikibot/ornstein-isomorphism-theorem
= Ornstein isomorphism theorem
{wiki=Ornstein_isomorphism_theorem}
The Ornstein isomorphism theorem is a result in the theory of dynamical systems, particularly in the context of ergodic theory. Named after the mathematician Donald Ornstein, it deals with the classification of measure-preserving transformations. The theorem states that any two ergodic measure-preserving systems that have the same entropy are isomorphic.