Ergodic measures for Markov semigroups
Seminar Room 1, Newton Institute
AbstractWe study the set of ergodic measures for a Markov semigroup on a Polish state space. The principal assumption on this semigroup is the e-property. We introduce a weak concentrating condition around a compact set and show that this condition has several implications on the set of ergodic measures. We also give sufficient conditions for the set of ergodic measures to be countable and finite.
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