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 | 
| 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 | 
| https://www.w3.org/2000/01/rdf-schema#label | Khinchin theorem |