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

Fetima Ladjimi; Marc Peigné

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arXiv · 1707.07237

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

Fetima Ladjimi·Marc Peigné

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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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Fetima Ladjimi, Marc Peigné. 2017-07-23. Iterated function systems with place dependent probabilities and application to the Diaconis-Friedman's chain on [0,1]. https://arxiv.org/abs/1707.07237

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