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arXiv · 2401.12361

Unique ergodicity for random noninvertible maps on an interval

Sara Brofferio·Hanna Oppelmayer·Tomasz Szarek
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Abstract

In this short note, we investigate non-invertible stochastic dynamical systems on the unit interval $[0, 1]$. We provide a handy condition for unique ergodicity for systems that are injective in mean. On the other hand, we give concrete examples where unique ergodicity fails.

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Sara Brofferio, Hanna Oppelmayer, Tomasz Szarek. 2024-01-22. Unique ergodicity for random noninvertible maps on an interval. https://arxiv.org/abs/2401.12361

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