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arXiv · 1707.06411

Stability of the Markov operator and synchronization of Markovian random products

Lorenzo J. Díaz·Edgar Matias
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Abstract

We study Markovian random products on a large class of "m-dimensional" connected compact metric spaces (including products of closed intervals and trees). We introduce a splitting condition, generalizing the classical one by Dubins and Freedman, and prove that this condition implies the asymptotic stability of the corresponding Markov operator and (exponentially fast) synchronization.

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Lorenzo J. Díaz, Edgar Matias. 2017-07-20. Stability of the Markov operator and synchronization of Markovian random products. https://doi.org/10.1088/1361-6544%2Faaa5df

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