Exact renormalisation for patch frequencies in inflation systems
Dynamical Systems
2025-07-11 v1
Abstract
This note provides an explicit way of calculating the patch frequencies in geometric realisations of primitive substitutions using exact renormalisation relations. Further, we profit from these results to obtain the patch frequencies in the symbolic case as well as in other suspensions (under mild assumptions on the substitution). We illustrate this procedure on the Fibonacci example.
Cite
@article{arxiv.2507.07753,
title = {Exact renormalisation for patch frequencies in inflation systems},
author = {Jan Mazáč},
journal= {arXiv preprint arXiv:2507.07753},
year = {2025}
}
Comments
15 pages, 1 figure. Comments welcome!