Dimension of Besicovitch-Eggleston sets for non-autonomous systems with countable symbolic dynamics
Dynamical Systems
2025-06-03 v1
Abstract
In this article we derive a formula for the Hausdorff dimension of Besicovitch-Eggleston level sets associated with non-autonomous dynamics constructed from families of countable affine iterated function systems. The formula obtained shows that the universal-lower-bound phenomenon present in the autonomous case studied by Fan et al. (2010) persists in this non-autonomous setting.
Keywords
Cite
@article{arxiv.2506.01803,
title = {Dimension of Besicovitch-Eggleston sets for non-autonomous systems with countable symbolic dynamics},
author = {Jonny Imbierski and Charlene Kalle},
journal= {arXiv preprint arXiv:2506.01803},
year = {2025}
}
Comments
23 pages, 2 figures