The Julia set and the fast escaping set of a quasiregular mapping

Abstract

It is shown that for quasiregular maps of positive lower order the Julia set coincides with the boundary of the fast escaping set.

10 pages

References in corpus (4)

• Fast escaping points of entire functions
• The escaping set of a quasiregular mapping
• Dynamics of a higher dimensional analog of the trigonometric functions
• Fatou-Julia theory for non-uniformly quasiregular maps

Cited by in corpus (7)

• Superattracting fixed points of quasiregular mappings
• The size and topology of quasi-Fatou components of quasiregular maps
• Hollow quasi-Fatou components of quasiregular maps
• The bungee set in quasiregular dynamics
• The escaping set in transcendental dynamics
• Permutable Quasiregular Maps
• Hausdorff dimension in quasiregular dynamics