Entropy rates in the dimension theory of self-similar measures
Dynamical Systems
2026-03-24 v2 Classical Analysis and ODEs
Number Theory
Abstract
This is a survey paper on the dimension theory of self-similar measures on the real line focusing on the role of entropy rates.
Keywords
Cite
@article{arxiv.2509.22042,
title = {Entropy rates in the dimension theory of self-similar measures},
author = {Péter P. Varjú},
journal= {arXiv preprint arXiv:2509.22042},
year = {2026}
}
Comments
14 pages, minor revision based on referee's report, final accepted version to appear in the Proceedings of Fractal Geometry and Stochastics 7