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arXiv · 2310.03643

Invariant measures for place dependent idempotent iterated function systems

Jairo K. Mengue·Elismar R. Oliveira
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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.

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Jairo K. Mengue, Elismar R. Oliveira. 2023-10-05. Invariant measures for place dependent idempotent iterated function systems. https://arxiv.org/abs/2310.03643

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