Speedups of linearly recurrent subshifts
Dynamical Systems
2026-03-09 v2
Abstract
A speedup, like a time change in discrete time dynamics, is a way of moving faster through the orbits of a dynamical system. Linearly recurrence is a stronger form of minimality for subshifts, shared by e.g.\ all primitive substitution shifts and Sturmian shifts associated with rotation numbers of bounded type. We prove that the homeomorphic speedup of a linearly recurrent two-sided subshift is again linearly recurrent.
Cite
@article{arxiv.2602.13652,
title = {Speedups of linearly recurrent subshifts},
author = {Henk Bruin},
journal= {arXiv preprint arXiv:2602.13652},
year = {2026}
}
Comments
Lemma 3.2 corrected from the earlier version, and changes made accordingly