Quasiregular dynamics on the n-sphere
Abstract
In this article, we investigate the boundary of the escaping set I(f) for quasiregular mappings on Rn, both in the uniformly quasiregular case and in the polynomial type case. The aim is to show that the boundary of I(f) is the Julia set J(f) when the latter is defined, and shares properties with the Julia set when J(f) is not defined.
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