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arXiv:1712.08638 [math.DS]AbstractReferencesReviewsResources

On the Lebesgue measure of the Feigenbaum Julia set

Artem Dudko, Scott Sutherland

Published 2017-12-22Version 1

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.

Comments: 27 pages, 14 figures
Categories: math.DS
Subjects: 37F25, 37F35, 30D05, 32H50
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