Birkhoff Recurrence Theorem
Several proofs of this theorem are available. It may be obtained from topological arguments together with Zorn’s lemma. It is also a consequence of Krylov-Bogolyubov theorem, or existence of invariant probability measures theorem, which asserts that every continuous transformation in a compact metric space admits an invariant probability measure, and an application of PoincarÃ© Recurrence theorem to that invariant probability measure yields Birkhoff Recurrence theorem.
|Title||Birkhoff Recurrence Theorem|
|Date of creation||2015-03-20 0:56:48|
|Last modified on||2015-03-20 0:56:48|
|Last modified by||Filipe (28191)|
|Related topic||PoincarÃ© Recurrence Theorem|