The Jacaranda tree is strongly aperiodic and has zero entropy
Dynamical Systems
2023-04-18 v1
Abstract
We prove that the Jacaranda tree obtained as a fixed point for a substreetution in previous work of the authors is strongly aperiodic and that the number of patches increases linearly with respect to the size of the patch. As a consequence we get that the tree has zero entropy.
Cite
@article{arxiv.2304.08039,
title = {The Jacaranda tree is strongly aperiodic and has zero entropy},
author = {Alexandre Baraviera and Renaud Leplaideur},
journal= {arXiv preprint arXiv:2304.08039},
year = {2023}
}