Quadratic Julia Sets with Positive Area

dc.creatorBuff, Xavier
dc.creatorCheritat, Arnaud
dc.date2006-05-18
dc.date2008-02-05
dc.date.accessioned2026-07-07T09:18:39Z
dc.date.available2026-07-07T09:18:39Z
dc.descriptionWe 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.
dc.description57 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"
dc.identifierhttps://arxiv.org/abs/math/0605514
dc.identifierhttp://arxiv.org/abs/math/0605514
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154105
dc.subjectDynamical Systems
dc.subject37FXX
dc.titleQuadratic Julia Sets with Positive Area
dc.typetext

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