Markov chains in random environments and random iterated function systems (Q2716149)
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scientific article; zbMATH DE number 1602205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Markov chains in random environments and random iterated function systems |
scientific article; zbMATH DE number 1602205 |
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Markov chains in random environments and random iterated function systems (English)
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6 June 2001
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iterated function systems
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random environment
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fractals
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The author considers random iterated function systems which yield Markov chains in dynamical stationary random environments. Conditions ensuring unique ergodicity and a ``pure type'' characterisation of the random ``invariant'' measure are given which generalize the corresponding result of \textit{L. E. Dubins} and \textit{D. A. Freedman} [Ann. Math. Stat. 37, 837-848 (1966; Zbl 0147.16404)]. A dimension formula for this measure is obtained, as well.
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