Parametrizability of infinitely generated attractors
Metric Geometry
2024-04-09 v2 Dynamical Systems
Abstract
An infinite iterated function system (IIFS) is a countable collection of contraction maps on a compact metric space. In this paper we study the conditions under which the attractor of a such system admits a parameterization by a continuous or H\"older continuous map of the unit interval.
Cite
@article{arxiv.2304.06012,
title = {Parametrizability of infinitely generated attractors},
author = {Eve Shaw and Vyron Vellis},
journal= {arXiv preprint arXiv:2304.06012},
year = {2024}
}
Comments
20 pages, 3 figures