Random walks associated to beta-shifts
Dynamical Systems
2019-10-30 v1
Abstract
We study the dynamics of a simple random walk on subshifts defined by the beta transformation and apply it to find concrete formulae for the Hausdorff dimension of digit frequency sets for that solves generalising the work of Fan and Zhu. We also give examples of where this approach fails.
Cite
@article{arxiv.1910.13006,
title = {Random walks associated to beta-shifts},
author = {Bing Li and Yao-Qiang Li and Tuomas Sahlsten},
journal= {arXiv preprint arXiv:1910.13006},
year = {2019}
}