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On regular polynomial endomorphisms of ℂ2 without bounded critical orbitswithout bounded critical orbits
Authors:Małgorzata Stawiska
Affiliation:(1) Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S. Morgan St., 60607 Chicago, IL, USA
Abstract:We study conditions involving the critical set of a regular polynomial endomorphism f∶ℂ2↦ℂ2 under which all complete external rays from infinity for f have well defined endpoints.
Keywords:Regular polynomial maps    hyperbolic invariant sets    external rays    landing
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