Measure of the Julia Set of the Feigenbaum map with infinite criticality

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dc.creatorLevin, Genadi
dc.creatorSwiatek, Grzegorz
dc.date2007-05-02
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:55:49Z
dc.date.available2026-07-07T12:55:49Z
dc.descriptionWe consider fixed points of the Feigenbaum (periodic-doubling) operator whose orders tend to infinity. It is known that the hyperbolic dimension of their Julia sets go to 2. We prove that the Lebesgue measure of these Julia sets tend to zero. An important part of the proof consists in applying martingale theory to a stochastic process with non-integrable increments.
dc.identifierhttps://arxiv.org/abs/0705.0297
dc.identifierhttp://arxiv.org/abs/0705.0297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224383
dc.subjectGeneral Topology
dc.subjectDynamical Systems
dc.subject37F99
dc.titleMeasure of the Julia Set of the Feigenbaum map with infinite criticality
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