Krylov-Bogolubov theorem
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Krylov-Bogolubov theorem
Any continuous map on a metrizable compact topological space has an invariant Borel probability measure (i.e. a Borel probability measure that is preserved by the given map).
Synonym:
existence of invariant measures, Krylov-Bogoliubov
Type of Math Object:
Theorem
Major Section:
Reference
Mathematics Subject Classification
37A05 Measure-preserving transformations28C15 Set functions and measures on topological spaces (regularity of measures, etc.)
