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Iterated function systems with place dependent probabilities and application to the Diaconis-Friedman's chain on [0, 1]

Abstract : We study Markov chains generated by iterated Lipschitz functions systems with possibly place dependent probabilities. Under general conditions, we prove uniqueness of the invariant probability measure for the associated Markov chain, by using quasi-compact linear operators technics. We use the same approach to describe the behavior of the Diaconis-Friedman's chain on [0, 1] with possibly place dependent probabilities.
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https://hal.archives-ouvertes.fr/hal-01567392
Contributor : Marc Peigné Connect in order to contact the contributor
Submitted on : Sunday, July 23, 2017 - 12:43:25 PM
Last modification on : Friday, February 19, 2021 - 4:10:03 PM

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  • HAL Id : hal-01567392, version 1

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Fetima Ladjimi, Marc Peigné. Iterated function systems with place dependent probabilities and application to the Diaconis-Friedman's chain on [0, 1]. 2017. ⟨hal-01567392⟩

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