Khintchine recurrence theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
probability spaces
measure-preserving transformations |
| gptkbp:describes |
recurrence properties of measure-preserving systems
|
| gptkbp:field |
dynamical systems
ergodic theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Khintchine recurrence theorem
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Khinchin
|
| gptkbp:publicationYear |
1934
|
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Poincaré_recurrence_theorem
|
| gptkbp:state |
For any set of positive measure in a measure-preserving system, there exist arbitrarily long return times with positive lower density.
|
| gptkbp:bfsParent |
gptkb:Aleksandr_Khintchine
|
| gptkbp:bfsLayer |
6
|