Completely invariant Julia sets of polynomial semigroups

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dc.creatorStankewitz, Rich
dc.date1998-10-14
dc.date.accessioned2026-07-07T05:26:27Z
dc.date.available2026-07-07T05:26:27Z
dc.descriptionLet G be a semigroup of rational functions of degree at least two, under composition of functions. Suppose that G contains two polynomials with non-equal Julia sets. We prove that the smallest closed subset of the Riemann sphere which contains at least three points and is completely invariant under each element of G, is the sphere itself.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/9810090
dc.identifierhttp://arxiv.org/abs/math/9810090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77557
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject30D05; 58F23
dc.titleCompletely invariant Julia sets of polynomial semigroups
dc.typetext

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