Proximality, stability, and central limit theorem for random maps on an interval
Dynamical Systems
2025-12-11 v2 Functional Analysis
Probability
Abstract
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 -injectivity and some mild assumptions, then proximality, asymptotic stability and a central limit theorem hold.
Cite
@article{arxiv.2408.07398,
title = {Proximality, stability, and central limit theorem for random maps on an interval},
author = {Sander C. Hille and Katarzyna Horbacz and Hanna Oppelmayer and Tomasz Szarek},
journal= {arXiv preprint arXiv:2408.07398},
year = {2025}
}