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arXiv:math/0605514 [math.DS]AbstractReferencesReviewsResources

Quadratic Julia Sets with Positive Area

Xavier Buff, Arnaud Cheritat

Published 2006-05-18, updated 2008-02-05Version 2

We prove the existence of quadratic polynomials having a Julia set with positive Lebesgue measure in three cases: the presence of a Cremer fixed point, the presence of a Siegel disk, the presence of infinitely many (satellite) renormalizations.

Comments: 57 pages. In this update, we added lots of figures and detailed the proofs, especially in the section called "the control of the post critical set"
Categories: math.DS
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