Invariant measures for place dependent idempotent iterated function systems
Dynamical Systems
2024-04-18 v2 Functional Analysis
Probability
Abstract
We study the set of invariant idempotent probabilities for place dependent idempotent iterated function systems defined in compact metric spaces. Using well-known ideas from dynamical systems, such as the Ma\~{n}\'{e} potential and the Aubry set, we provide a complete characterization of the densities of such idempotent probabilities. As an application, we provide an alternative formula for the attractor of a class of fuzzy iterated function systems.
Cite
@article{arxiv.2310.03643,
title = {Invariant measures for place dependent idempotent iterated function systems},
author = {Jairo K. Mengue and Elismar R. Oliveira},
journal= {arXiv preprint arXiv:2310.03643},
year = {2024}
}
Comments
34 pages