Proximality, stability, and central limit theorem for random maps on an interval

2024/08/14 by Sander C. Hille, Katarzyna Horbacz, Hille, Sander C. +5
Mathematics · #Mathematical Dynamics and Fractals #Fuzzy Systems and Optimization

paper · pdf · doi:10.48550/arxiv.2408.07398

Abstract

Stochastic dynamical systems consisting of non-invertible continuous maps on an interval are studied. It is proved that if they satisfy the recently introduced so-called μ-injectivity and some mild assumptions, then proximality, asymptotic stability and a central limit theorem hold.

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