Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact metric spaces
continuous transformations |
| gptkbp:field |
dynamical systems
ergodic theory |
| gptkbp:namedAfter |
gptkb:Nikolay_Krylov
gptkb:Nikolay_Bogoliubov |
| gptkbp:publishedIn |
1937
|
| gptkbp:significance |
establishes existence of invariant measures
|
| gptkbp:state |
Every continuous transformation of a compact metric space has an invariant probability measure
|
| gptkbp:bfsParent |
gptkb:Nikolai_Bogolyubov
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bogoliubov–Krylov theorem
|