English

Tiling Iterated Function Systems

Dynamical Systems 2020-11-30 v4

Abstract

This paper presents a detailed symbolic approach to the study of self-similar tilings. It uses properties of addresses associated with graph-directed iterated function systems to establish conjugacy properties of tiling spaces. Tiles may be fractals and the tiled set may be a complicated unbounded subset of RM\mathbb{R}^{M}.

Keywords

Cite

@article{arxiv.2002.03538,
  title  = {Tiling Iterated Function Systems},
  author = {Michael F. Barnsley and Louisa F. Barnsley and Andrew Vince},
  journal= {arXiv preprint arXiv:2002.03538},
  year   = {2020}
}