Substitution-dynamics and invariant measures for infinite alphabet-path space
Dynamical Systems
2024-03-07 v3
Abstract
We study substitutions on countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non-stationary generalized Bratteli-Vershik models for a class of such substitutions, known as left determined. In this setting of Borel dynamics, using a stationary generalized Bratteli-Vershik model, we provide a new and canonical construction of shift-invariant measures (both finite and infinite) for the associated class of subshifts.
Cite
@article{arxiv.2203.14127,
title = {Substitution-dynamics and invariant measures for infinite alphabet-path space},
author = {Sergey Bezuglyi and Palle E. T. Jorgensen and Shrey Sanadhya},
journal= {arXiv preprint arXiv:2203.14127},
year = {2024}
}
Comments
This is the journal version. To appear in advances in app. math