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Unique ergodicity for random noninvertible maps on an interval

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arxiv 2401.12361 v2 pith:XXCRQU4B submitted 2024-01-22 math.DS math.PR

Sara Brofferio , Hanna Oppelmayer , Tomasz Szarek This is my paper · ORCID
classification math.DSmath.PR
keywords ergodicityuniqueintervalsystemsconcreteconditiondynamicalexamples
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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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