Equicontinuous Families of Markov Operators in View of Asymptotic Stability
classification
🧮 math.PR
keywords
markovoperatorspropertystabilityasymptoticasymptoticallycalledequicontinuity
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Relation between equicontinuity, the so called e property and stability of Markov operators is studied. In particular, it is shown that any asymptotically stable Markov operator with an invariant measure such that the interior of its support is nonempty satisfies the e property.
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