preprint-author: 
A. Dudko and S. Sutherland
preprint-title: 
On the Lebesgue measure of the Feigenbaum Julia set
preprint-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.

preprint-year: 
2017