Topology of the Random Fibonacci Tiling Space
Dynamical Systems
2023-07-19 v1 General Topology
Abstract
We look at the topology of the tiling space of locally random Fibonacci substitution, which is defined as a-->ba with probability p, a-->ab with probability 1-p and b-->a for 0<p<1. We show that its Cech cohomology group is not finitely generated, in contrast to the case where random substitutions are applied globally.
Keywords
Cite
@article{arxiv.1312.4897,
title = {Topology of the Random Fibonacci Tiling Space},
author = {Franz Gähler and Eden Provido},
journal= {arXiv preprint arXiv:1312.4897},
year = {2023}
}