Unique ergodicity for noninvertible function systems on an interval
Dynamical Systems
2024-10-25 v1 Functional Analysis
Probability
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.
Cite
@article{arxiv.2410.18664,
title = {Unique ergodicity for noninvertible function systems on an interval},
author = {Sander C. Hille and Hanna Oppelmayer and Tomasz Szarek},
journal= {arXiv preprint arXiv:2410.18664},
year = {2024}
}