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.
Smooth symmetries of $\times a$-invariant sets
On the dimension of self-affine sets and measures with overlaps
On a family of self-affine sets: topology, uniqueness, simultaneous expansions
![QR code for arXiv:1805.05753 [math.DS]](http://oss.arxitics.com/images/favicon.svg)