Classification of random circle homeomorphisms up to topological\n conjugacy

2017/07/17 by Thai Son Doan, Doan, Thai Son, Jeroen S. W. Lamb +5
Computer Science · Environmental Science · Mathematics · #37H10 #Advanced Mathematical Modeling in Engineering #Dynamical Systems (math.DS) #FOS: Mathematics #Integrated Water Resources Management #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1707.05401

openalex publication_date 2017/07/17 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We provide a classification of random orientation-preserving homeomorphisms\nof mathbbS¹, up to topological conjugacy of the random dynamical systems\ngenerated by i.i.d. iterates of the random homeomorphism. This classification\ncovers all random circle homeomorphisms for which the noise space is a\nconnected Polish space and an additional extremely weak condition is satisfied.\n

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