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Unique ergodicity for non-invertible function systems on an interval

Studia Mathematica

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.

Authors 3

  1. Leiden University

    Affiliation as printed

    Mathematical Institute Leiden University 2300 RA Leiden, The Netherlands

  2. Universität Innsbruck

    Affiliation as printed

    Institut für Mathematik Universität Innsbruck 6020 Insbruck, Austria

  3. Polish Academy of Sciences · Institute of Mathematics

    Affiliation as printed

    Institute of Mathematics Polish Academy of Sciences 81-825 Sopot, Poland

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