Unique ergodicity for non-invertible function systems on an interval

Studia Mathematica 2026 Open access

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Authors: Sander C. Hille, Hanna Oppelmayer, Tomasz Szarek
DOI: 10.4064/sm250311-5-12
Cited by: 0

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.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Mathematical Modeling in Engineering advanced mathematical theories

Publication details

Journal / source
Studia Mathematica
Publisher
Institute of Mathematics, Polish Academy of Sciences
Publication date
15 June 2026
Language
EN