Quasiregular dynamics on the n-sphere-Reference-Cited by-同舟云学术

Quasiregular dynamics on the n-sphere

Published:2010-01-18 Issue:1 Volume:31 Page:23-31
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

FLETCHER ALASTAIR N.,NICKS DANIEL A.

Abstract

AbstractIn this paper, 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 ∂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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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