Kingman’s subadditive ergodic theorem
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
subadditive processes
|
| gptkbp:assumes |
measure-preserving transformation
integrable subadditive sequence |
| gptkbp:field |
gptkb:probability_theory
ergodic theory |
| gptkbp:generalizes |
gptkb:Birkhoff’s_ergodic_theorem
|
| gptkbp:namedAfter |
gptkb:John_Kingman
|
| gptkbp:plotSummary |
L1 convergence
almost sure convergence |
| gptkbp:publishedIn |
gptkb:Journal_of_the_Royal_Statistical_Society,_Series_B
|
| gptkbp:sentence |
A subadditive sequence of integrable functions over a measure-preserving transformation converges almost surely and in L1 to a limit.
|
| gptkbp:type |
limit theorem
|
| gptkbp:usedIn |
gptkb:statistical_mechanics
gptkb:first_passage_percolation queueing theory random matrix theory |
| gptkbp:yearProposed |
1968
|
| gptkbp:bfsParent |
gptkb:Sir_John_Frank_Charles_Kingman
|
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kingman’s subadditive ergodic theorem
|