Unique ergodicity for function systems on the circle

DOI10.1016/j.spl.2021.109084zbMath1482.37038OpenAlexW3134720858MaRDI QIDQ2244521

Gabriela Łuczyńska

Publication date: 12 November 2021

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2021.109084

zbMATH Keywords

invariant measureiterated function systemMarkov operator\(e\)-property

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the circle (37E10) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Cites Work

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• Random walks on \(\mathrm{Homeo}(S^1)\)
• Synchronization in minimal iterated function systems on compact manifolds
• On one-dimensional dynamics in intermediary regularity
• Stability of iterated function systems on the circle
• Invariant measures for nonexpansive Markov operators on Polish spaces

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