Ergodic frequency measures for random substitutions
Dynamical Systems
2021-01-25 v2
Abstract
We construct a family of ergodic measures on random substitution subshifts (RS-subshifts) associated to a primitive random substitution. In particular, the word frequencies of every finite legal word exist for almost every element of the random substitution subshift with respect to these measures. As an application, we show that for a certain class of random substitutions the measures of maximal entropy are frequency measures.
Cite
@article{arxiv.1810.11122,
title = {Ergodic frequency measures for random substitutions},
author = {Philipp Gohlke and Timo Spindeler},
journal= {arXiv preprint arXiv:1810.11122},
year = {2021}
}
Comments
28 pages; revised definition of random substitutions, additional appendix