Uniformly quasiregular maps of ℝⁿ with Cantor Julia sets

2026/07/24 by Daniel A. Nicks
#math.DS

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Abstract

For any n≥ 3, we construct uniformly quasiregular self-maps of ℝⁿ of polynomial type for which the Julia set is a Cantor set.

Citations

• Julia sets and wild Cantor sets

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