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).
| Title | Krylov-Bogolubov theorem |
|---|---|
| Canonical name | KrylovBogolubovTheorem |
| Date of creation | 2013-03-22 14:07:10 |
| Last modified on | 2013-03-22 14:07:10 |
| Owner | Koro (127) |
| Last modified by | Koro (127) |
| Numerical id | 5 |
| Author | Koro (127) |
| Entry type | Theorem |
| Classification | msc 37A05 |
| Classification | msc 28C15 |
| Synonym | existence of invariant measures |
| Synonym | Krylov-Bogoliubov |