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Results tagged with ergodic-theory
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user 47704
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
4
votes
1
answer
208
views
Ergodic decomposition of the action of a subgroup
Let $G$ be a countable abelian group and let $H \le G$ be a subgroup. Let $G \curvearrowright (X,\mu)$ be an ergodic measure preserving action on some probability space $(X,\mu)$. Now we know that the …
- 197
3
votes
1
answer
201
views
Eigenfunction of ergodic skew product fixed by commutator?
Background: Let $(Y, \mathcal{B},\mu,T)$ be an ergodic probability system and let $G$ be a compact metrizable group with compact subgroup $H$. Given a measurable map $\rho:Y \to G$. We may define the …
- 197