Invariant Nonrecurrent Fatou Components of Automorphisms of $C^2$

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dc.creatorJupiter, Daniel
dc.creatorLilov, Krastio
dc.date2003-09-16
dc.date.accessioned2026-07-07T05:01:09Z
dc.date.available2026-07-07T05:01:09Z
dc.descriptionWe examine invariant nonrecurrent Fatou components of automorphisms of $\mathbb{C}^2$ in the case where all limit maps are constant. We show that except in special cases there cannot be more than one such limit map. We also briefly examine such Fatou components where the limit maps may be nonconstant. Lastly we present a few examples of such Fatou components.
dc.identifierhttps://arxiv.org/abs/math/0309253
dc.identifierhttp://arxiv.org/abs/math/0309253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68572
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject32H50, 37F10
dc.titleInvariant Nonrecurrent Fatou Components of Automorphisms of $C^2$
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