Invariant measures of Markov operators associated to iterated function systems consisting of phi-max-contractions with probabilities

2017/05/13 by Flavian Georgescu, Georgescu, Flavian, Radu Miculescu +3
Mathematics · #28A80 #37C70 #54H20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #advanced mathematical theories #math.CA #msc:28A80 #msc:37C70 #msc:54H20

paper · pdf · doi:10.48550/arxiv.1705.04875

arxiv created 2017/05/13 · openalex publication_date 2017/05/13 · arxiv updated 2017/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Markov operator associated to an iterated function system consisting of phi-max-contractions with probabilities has a unique invariant measure whose support is the attractor of the system.

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