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arXiv · 2410.18664

Unique ergodicity for noninvertible function systems on an interval

Sander C. Hille·Hanna Oppelmayer·Tomasz Szarek
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Abstract

We study random dynamical systems of certain continuous functions on the unit interval. We use bounded variation to provide sufficient conditions for unique ergodicity of these systems. Several classes of examples are provided.

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Sander C. Hille, Hanna Oppelmayer, Tomasz Szarek. 2024-10-24. Unique ergodicity for noninvertible function systems on an interval. https://arxiv.org/abs/2410.18664

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