On the Hausdorff dimension of invariant measures for multicritical circle maps
Dynamical Systems
2023-07-19 v1
Abstract
We give explicit bounds for the Hausdorff dimension of the unique invariant measure of multicritical circle maps without periodic points. These bounds depend only on the arithmetic properties of the rotation number.
Keywords
Cite
@article{arxiv.1910.07239,
title = {On the Hausdorff dimension of invariant measures for multicritical circle maps},
author = {Frank Trujillo},
journal= {arXiv preprint arXiv:1910.07239},
year = {2023}
}