A priori bounds for some infinitely renormalizable quadratics: III. Molecules

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dc.creatorKahn, Jeremy
dc.creatorLyubich, Mikhail
dc.date2007-12-14
dc.date.accessioned2026-07-07T08:49:22Z
dc.date.available2026-07-07T08:49:22Z
dc.descriptionIn this paper we prove {\it a priori bounds} for infinitely renormalizable quadratic polynomials satisfying a ``molecule condition''. Roughly speaking, this condition ensures that the renormalization combinatorics stay away from the satellite types. These {\it a priori bounds} imply local connectivity of the corresponding Julia sets and the Mandelbrot set at the corresponding parameter values.
dc.identifierhttps://arxiv.org/abs/0712.2444
dc.identifierhttp://arxiv.org/abs/0712.2444
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144273
dc.subjectDynamical Systems
dc.titleA priori bounds for some infinitely renormalizable quadratics: III. Molecules
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