Subsystems of transitive subshifts with linear complexity
Dynamical Systems
2021-07-01 v1
Abstract
We bound the number of distinct minimal subsystems of a given transitive subshift of linear complexity, continuing work of Ormes and Pavlov [7]. We also bound the number of generic measures such a subshift can support based on its complexity function. Our measure-theoretic bounds generalize those of Boshernitzan [1] and are closely related to those of Cyr and Kra [2].
Cite
@article{arxiv.1907.06325,
title = {Subsystems of transitive subshifts with linear complexity},
author = {Andrew Dykstra and Nicholas Ormes and Ronnie Pavlov},
journal= {arXiv preprint arXiv:1907.06325},
year = {2021}
}
Comments
30 pages, 0 figures