On the Lebesgue measure of the Feigenbaum Julia set

Artem Dudko; Scott Sutherland

doi:10.1007/s00222-020-00949-8

On the Lebesgue measure of the Feigenbaum Julia set

Artem Dudko
, Scott Sutherland

Mathematics

Institute of Mathematics of the Polish Academy of Sciences

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	167-202
Number of pages	36
Journal	Inventiones Mathematicae
Volume	221
Issue number	1
DOIs	https://doi.org/10.1007/s00222-020-00949-8
State	Published - Jul 1 2020

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On the Lebesgue measure of the Feigenbaum Julia set

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