Cubic polynomials: a measurable view on parameter space

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dc.creatorDujardin, Romain
dc.date2006-05-26
dc.date.accessioned2026-07-07T07:14:33Z
dc.date.available2026-07-07T07:14:33Z
dc.descriptionWe study the fine geometric structure of bifurcation currents in the parameter space of cubic polynomials viewed as dynamical systems. In particular we prove that these currents have some laminar structure in a large region of parameter space, reflecting the possibility of quasiconformal deformations. On the other hand, there is a natural bifurcation measure, supported on the closure of rigid parameters. We prove a strong non laminarity statement relative to this measure.
dc.identifierhttps://arxiv.org/abs/math/0605687
dc.identifierhttp://arxiv.org/abs/math/0605687
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112918
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F45, 32U40
dc.titleCubic polynomials: a measurable view on parameter space
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