The Fatou Set for Critically Finite Maps

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dc.creatorRong, Feng
dc.date2006-08-19
dc.date.accessioned2026-07-07T07:21:56Z
dc.date.available2026-07-07T07:21:56Z
dc.descriptionIt is a classical result in complex dynamics of one variable that the Fatou set for a critically finite map on $\mathbf{P}^1$ consists of only basins of attraction for superattracting periodic points. In this paper we deal with critically finite maps on $\mathbf{P}^k$. We show that the Fatou set for a critically finite map on $\mathbf{P}^2$ consists of only basins of attraction for superattracting periodic points. We also show that the Fatou set for a $k-$critically finite map on $\mathbf{P}^k$ is empty.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0608477
dc.identifierhttp://arxiv.org/abs/math/0608477
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115478
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject32H50
dc.titleThe Fatou Set for Critically Finite Maps
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