Ornstein isomorphism theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Bernoulli_shifts
|
| gptkbp:author |
gptkb:Donald_Ornstein
|
| gptkbp:field |
dynamical systems
ergodic theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Ornstein isomorphism theorem
|
| gptkbp:implies |
entropy is a complete invariant for Bernoulli shifts
|
| gptkbp:namedAfter |
gptkb:Donald_Ornstein
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:sentence |
All Bernoulli shifts with the same entropy are isomorphic as measure-preserving dynamical systems.
|
| gptkbp:yearProved |
1970
|
| gptkbp:bfsParent |
gptkb:Donald_Ornstein
|
| gptkbp:bfsLayer |
6
|