Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
measure-preserving transformations
|
| gptkbp:describes |
expected return time to a set in a measure-preserving dynamical system
|
| gptkbp:field |
gptkb:probability_theory
ergodic theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Kac's lemma
|
| gptkbp:namedAfter |
gptkb:Mark_Kac
|
| gptkbp:publishedIn |
1947
|
| gptkbp:relatedTo |
gptkb:Poincaré_recurrence_theorem
gptkb:ergodic_theorem |
| gptkbp:state |
the expected return time to a set A is 1 divided by the measure of A
|
| gptkbp:usedIn |
gptkb:statistical_mechanics
dynamical systems |
| gptkbp:bfsParent |
gptkb:Poincaré_recurrence_theorem
|
| gptkbp:bfsLayer |
6
|