Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite measure spaces
|
| gptkbp:category |
recurrence theorems
theorems in dynamical systems |
| gptkbp:compatibleWith |
infinite measure spaces
|
| gptkbp:describes |
recurrence of states in measure-preserving dynamical systems
|
| gptkbp:field |
dynamical systems
ergodic theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Poincaré recurrence theorem
|
| gptkbp:implies |
almost every point returns arbitrarily close to its initial position
|
| gptkbp:namedAfter |
gptkb:Henri_Poincaré
|
| gptkbp:relatedTo |
gptkb:ergodic_hypothesis
gptkb:Boltzmann's_H-theorem gptkb:Kac's_lemma |
| gptkbp:statedIn |
gptkb:Acta_Mathematica
|
| gptkbp:yearStated |
1890
|
| gptkbp:bfsParent |
gptkb:Henri_Poincaré
gptkb:Dynamical_Systems |
| gptkbp:bfsLayer |
5
|