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Ergodic measures for Markov semigroups

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If you have a question about this talk, please contact Mustapha Amrani.

Stochastic Partial Differential Equations (SPDEs)

We 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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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