The solenoid and holomorphic motions for Henon maps

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dc.creatorMummert, Philip P.
dc.date2006-11-06
dc.date2007-04-18
dc.date.accessioned2026-07-07T07:56:57Z
dc.date.available2026-07-07T07:56:57Z
dc.descriptionThe McMullen-Sullivan holomorphic motion for topologically conjugate, complex polynomials with connected Julia set follows level sets of the Bottcher coordinate. The Buzzard-Verma holomorphic motion for hyperbolic, unstably connected, polynomial diffeomorphisms of C^2 follows level sets of the Bedford-Smillie solenoid map. It follows that this solenoid map is a conjugacy for those Henon maps that are perturbations of (one-dimensional) hyperbolic maps with connected Julia set.
dc.description20 pages, 3 figures; minor corrections
dc.identifierhttps://arxiv.org/abs/math/0611147
dc.identifierhttp://arxiv.org/abs/math/0611147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127503
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.titleThe solenoid and holomorphic motions for Henon maps
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