Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Khintchine's_theorem
|
| gptkbp:appliesTo |
measure-preserving transformations
|
| gptkbp:describes |
ergodic property of dynamical systems
|
| gptkbp:field |
gptkb:probability_theory
ergodic theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Khinchin theorem
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Khinchin
|
| gptkbp:publishedIn |
gptkb:Mathematical_Annalen
|
| gptkbp:relatedTo |
gptkb:Birkhoff_ergodic_theorem
gptkb:law_of_large_numbers |
| gptkbp:state |
For a measure-preserving transformation, time averages converge to space averages for integrable functions
|
| gptkbp:yearProposed |
1934
|
| gptkbp:bfsParent |
gptkb:Alexander_Khinchin
|
| gptkbp:bfsLayer |
7
|