Unique ergodicity for noninvertible function systems on an interval

2024/10/24 by Hille, Sander C., Oppelmayer, Hanna, Szarek, Tomasz
#37A25 #37A50 #37E05 #37H12 (Primary) 26A45 #60G53 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)

paper · doi:10.48550/arxiv.2410.18664

Abstract

We study random dynamical systems of certain continuous functions on the unit interval. We use bounded variation to provide sufficient conditions for unique ergodicity of these systems. Several classes of examples are provided.

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