Non-Autonomous Basins of Attraction With 4-Dimensional Boundaries

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dc.creatorPeters, Han
dc.creatorWold, Erlend Fornæss
dc.date2004-10-07
dc.date.accessioned2026-07-07T05:13:03Z
dc.date.available2026-07-07T05:13:03Z
dc.descriptionWe study whether the basin of attraction of a sequence of automorphisms of $\mathbb{C}^k$ is biholomorphic to $\mathbb{C}^k$. In particular we show that given any sequence of automorphisms with the same attracting fixed point, the basin is biholomorphic to $\mathbb{C}^k$ if the maps are repeated often enough. We also construct Fatou-Bieberbach domains whose boundaries are 4-dimensional.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0410210
dc.identifierhttp://arxiv.org/abs/math/0410210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72805
dc.subjectComplex Variables
dc.subject32H02, 32H50
dc.titleNon-Autonomous Basins of Attraction With 4-Dimensional Boundaries
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