Ergodic properties of random positive semigroups (Q5937966)
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scientific article; zbMATH DE number 1621306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ergodic properties of random positive semigroups |
scientific article; zbMATH DE number 1621306 |
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Ergodic properties of random positive semigroups (English)
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3 September 2002
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The paper investigates unique ergodicity of random positive semigroups. It is shown that for the temporally homogeneous case transience, null recurrence and positive recurrence, respectively, of the associated mean semigroup determine the ergodic behaviour of the random semigroup. The results are then used to study the asymptotic behaviour of the random semigroup for time tending to infinity.
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ergodicity
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random positive semigroups
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asymptotic behaviour
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measure-valued Markov processes
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transience
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null recurrence
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positive recurrence
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