On the equicontinuity of the Hutchinson operator

Fuente: arXiv
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Autores principales: Strobin, Filip, Szuca, Piotr
Formato: Preprint
Publicado: 2026
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author Strobin, Filip
Szuca, Piotr
author_facet Strobin, Filip
Szuca, Piotr
contents We prove that the Hutchinson operators of a wide class of Iterated Function Systems are equicontinuous. In particular, every Iterated Function System with an attractor has equicontinuous Hutchinson operator.
format Preprint
id arxiv_https___arxiv_org_abs_2605_30923
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the equicontinuity of the Hutchinson operator
Strobin, Filip
Szuca, Piotr
Dynamical Systems
We prove that the Hutchinson operators of a wide class of Iterated Function Systems are equicontinuous. In particular, every Iterated Function System with an attractor has equicontinuous Hutchinson operator.
title On the equicontinuity of the Hutchinson operator
topic Dynamical Systems
url https://arxiv.org/abs/2605.30923