On regular polynomial endomorphisms of ℂ2 without bounded critical orbitswithout bounded critical orbits |
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Authors: | Małgorzata Stawiska |
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Affiliation: | (1) Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 S. Morgan St., 60607 Chicago, IL, USA |
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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. |
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Keywords: | Regular polynomial maps hyperbolic invariant sets external rays landing |
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