On the Lebesgue measure of the Feigenbaum Julia set
Dynamical Systems
2020-01-31 v2
Abstract
We show that the Julia set of the Feigenbaum polynomial has Hausdorff dimension less than~2 (and consequently it has zero Lebesgue measure). This solves a long-standing open question.
Cite
@article{arxiv.1712.08638,
title = {On the Lebesgue measure of the Feigenbaum Julia set},
author = {Artem Dudko and Scott Sutherland},
journal= {arXiv preprint arXiv:1712.08638},
year = {2020}
}
Comments
27 pages, 14 figures