2009/09/01 by Alastair Fletcher, Daniel A. Nicks, Fletcher, Alastair +1
Mathematics · #30C65 #Analytic and geometric function theory #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #math.CV #math.DS #msc:30C65
paper · pdf · doi:10.48550/arxiv.0909.0217
12 pages
arxiv created 2009/09/01 · openalex publication_date 2009/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.