External rays and the real slice of the Mandelbrot set

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dc.creatorZakeri, Saeed
dc.date2002-10-24
dc.date.accessioned2026-07-07T04:52:19Z
dc.date.available2026-07-07T04:52:19Z
dc.descriptionThis paper investigates the set of angles of the parameter rays which land on the real slice $[-2,1/4]$ of the Mandelbrot set. We prove that this set has zero length but Hausdorff dimension 1. We obtain the corresponding results for the tuned images of the real slice. Applications of these estimates in the study of critically non-recurrent real quadratics as well as biaccessible points of quadratic Julia sets are given.
dc.description22 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0210382
dc.identifierhttp://arxiv.org/abs/math/0210382
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65421
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.titleExternal rays and the real slice of the Mandelbrot set
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