On the Lebesgue measure of the Feigenbaum Julia set
arXiv:1712.08638 · doi:10.1007/s00222-020-00949-8
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.
27 pages, 14 figures