Hollow quasiFatou components of quasiregular mapsTools Nicks, Daniel A. and Sixsmith, David J. (2017) Hollow quasiFatou components of quasiregular maps. Mathematical Proceedings of the Cambridge Philosophical Society, 162 (3). pp. 561574. ISSN 14698064
AbstractWe define a quasiFatou component of a quasiregular map as a connected component of the complement of the Julia set. A domain in Rd is called hollow if it has a bounded complementary component. We show that for each d≥2 there exists a quasiregular map of transcendental type f:Rd→Rd with a quasiFatou component which is hollow.
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