Unique ergodicity for random noninvertible maps on an interval
Dynamical Systems
2024-03-20 v2 Probability
Abstract
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 are injective in mean. On the other hand, we give concrete examples where unique ergodicity fails.
Cite
@article{arxiv.2401.12361,
title = {Unique ergodicity for random noninvertible maps on an interval},
author = {Sara Brofferio and Hanna Oppelmayer and Tomasz Szarek},
journal= {arXiv preprint arXiv:2401.12361},
year = {2024}
}