Optimal parametrizations of a class of self-affine sets
Dynamical Systems
2018-05-16 v1
Abstract
In this paper, we study optimal parametrizations of the invariant sets of a single matrix graph IFS which is a generalization of the result of Rao and Zhang (2016). We show that the invariant sets of a linear single matrix GIFS which has a primitive associated matrix and satisfies the open set condition admit optimal parametrizations. This result is the basis of the further study of space-filling curves of self-affine sets.
Keywords
Cite
@article{arxiv.1805.05753,
title = {Optimal parametrizations of a class of self-affine sets},
author = {Shu-Qin Zhang},
journal= {arXiv preprint arXiv:1805.05753},
year = {2018}
}