Construct · 1 fields · 1 citations

Ornstein isomorphism theorem: a standalone construct

One name. One construct. A landmark on the map.

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Ornsteinisomorphism theorem1 CONSTRUCTOrnstein isomorphismORNSTEIN · ERGODIC THEORY

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Ergodic theory

the result that Bernoulli shifts are classified up to measure-theoretic isomorphism by their entropy alone.

In ergodic theory, Ornstein isomorphism theorem refers to the result that Bernoulli shifts are classified up to measure-theoretic isomorphism by their entropy alone. This meaning comes from Ornstein (1970) in Advances in Mathematics.[1]

Unit
Recovery means
Measured by

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Nearby constructs

entropy6 fields · 12 citationsjingle · one name, six constructsisomorphism4 fields · 4 citationsjingle · one word, sameness in four meanings

References

  1. Ornstein, D. (1970). Bernoulli shifts with the same entropy are isomorphic. Advances in Mathematics, 4(3), 337-352. https://doi.org/10.1016/0001-8708(70)90029-0

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