Some topological properties and bi-Lipschitz equivalence of graph-directed attractors
Dynamical Systems
2026-05-20 v1
Abstract
In this paper, we discuss some topological properties of the graph-directed iterated function system (GDIFS) of injective contractions. Further, we show the existence of a Lipschitz embedding between two different bi-Lipschitz graph-directed attractors. In general, two different graph-directed attractors on the same graph are not bi-Lipschitz equivalent, but under certain conditions, we show that two graph-directed attractors are bi-Lipschitz equivalent.
Keywords
Cite
@article{arxiv.2605.19097,
title = {Some topological properties and bi-Lipschitz equivalence of graph-directed attractors},
author = {Subhash Chandra},
journal= {arXiv preprint arXiv:2605.19097},
year = {2026}
}
Comments
13 Pages. Comments and suggestions are appreciated(Email: [email protected])