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Iterated Means Dichotomy for Discrete Dynamical Systems

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Abstract

In this paper, we discuss a dichotomy of iterated means for a compact discrete dynamical system acting on a finite dimensional space. As an application, we also study the mean ergodicity of non-homogeneous Markov chains.

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  1. College of Engineering and Technology, American University of the Middle East, Egaila, Kuwait

    Mansoor Saburov

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  1. Mansoor Saburov
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Correspondence to Mansoor Saburov.

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This work was supported by American University of the Middle East, Kuwait. The author thanks the Junior Associate scheme of the Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy. The author is also greatly indebted to anonymous reviewer for several useful suggestions and comments which improved the presentation of this paper.

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Saburov, M. Iterated Means Dichotomy for Discrete Dynamical Systems. Qual. Theory Dyn. Syst. 19, 25 (2020). https://doi.org/10.1007/s12346-020-00379-0

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