Tree substitutions and Rauzy fractals
Dynamical Systems
2017-11-13 v1 Group Theory
Abstract
We work with attracting subshifts generated by substitutions which are also irreducible parageometric automorphisms of free groups. For such a dynamical system, we construct a tree substitution to approximate the repelling real tree of the automorphism. We produce images of this tree inside the Rauzy fractal when the substitution is irreducible Pisot. We describe the contour of this tree and compute an interval exchange transformation of the circle covering the original substitution.
Cite
@article{arxiv.1711.03535,
title = {Tree substitutions and Rauzy fractals},
author = {Thierry Coulbois and Milton Minervino},
journal= {arXiv preprint arXiv:1711.03535},
year = {2017}
}
Comments
44 pages, 20 figures