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arXiv:2410.18664 [math.DS]AbstractReferencesReviewsResources

Unique ergodicity for noninvertible function systems on an interval

Sander C. Hille, Hanna Oppelmayer, Tomasz Szarek

Published 2024-10-24Version 1

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.

Categories: math.DS, math.FA, math.PR
Subjects: 37A25, 37E05, 37H12, 26A45, 37A50, 60G53
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