Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Birkhoff_ergodic_theorem
gptkb:mean_ergodic_theorem |
| gptkbp:appliesTo |
measure-preserving transformations
|
| gptkbp:describes |
long-term average behavior of dynamical systems
|
| gptkbp:field |
gptkb:probability_theory
dynamical systems ergodic theory |
| gptkbp:formedBy |
gptkb:George_David_Birkhoff
gptkb:John_von_Neumann |
| gptkbp:generalizes |
gptkb:law_of_large_numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
ergodic theorem
|
| gptkbp:implies |
time average equals space average for ergodic systems
|
| gptkbp:relatedTo |
gptkb:statistical_mechanics
ergodicity |
| gptkbp:usedIn |
gptkb:information_theory
chaos theory statistical physics |
| gptkbp:yearProposed |
1931
|
| gptkbp:bfsParent |
gptkb:law_of_large_numbers
|
| gptkbp:bfsLayer |
6
|