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

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math.PR2017★ 1 cited

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

Fetima Ladjimi, Marc Peigné

We study Markov chains generated by iterated Lipschitz functions systems with possibly place dependent probabilities. Under general conditions, we prove uniqueness of the invariant…