Examples of Uniformly Quasiregular Mappings with Fatou Set Having Infinitely Many Components
Abstract
We construct examples of uniformly quasiregular mappings (uqr) acting on a sphere and having Fatou set consisting of infinitely many components. In particular we construct a uqr mapping providing a higher dimensional counterpart for the polynomial z z2 - 1 acting on the extended complex plane C.
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