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math.DS2024
Unique ergodicity for noninvertible function systems on an interval
Sander C. Hille, Hanna Oppelmayer, Tomasz Szarek
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 sys…
math.DS2024
Proximality, stability, and central limit theorem for random maps on an interval
Sander C. Hille, Katarzyna Horbacz, Hanna Oppelmayer +1
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 -inject…
math.DS2024
Unique ergodicity for random noninvertible maps on an interval
Sara Brofferio, Hanna Oppelmayer, Tomasz Szarek
In this short note, we investigate non-invertible stochastic dynamical systems on the unit interval . We provide a handy condition for unique ergodicity for systems that ar…