Finite random iterated function systems do not always satisfy Bowen's formula
Dynamical Systems
2025-11-06 v2
Abstract
In this paper, we provide a finite random iterated function system satisfying the open set condition, for which the random version of Bowen's formula fails to hold. This counterexample shows that analogous results established for random recursive constructions are not always obtained for random iterated function systems.
Cite
@article{arxiv.2509.02070,
title = {Finite random iterated function systems do not always satisfy Bowen's formula},
author = {Yuya Arima},
journal= {arXiv preprint arXiv:2509.02070},
year = {2025}
}
Comments
7 pages