On the iteration of quasimeromorphic mappings
Dynamical Systems
2018-05-04 v2 Complex Variables
Abstract
The Fatou-Julia theory for rational functions has been extended both to transcendental meromorphic functions and more recently to several different types of quasiregular mappings in higher dimensions. We extend the iterative theory to quasimeromorphic mappings with an essential singularity at infinity and at least one pole, constructing the Julia set for these maps. We show that this Julia set shares many properties with those for transcendental meromorphic functions and for quasiregular mappings of punctured space.
Keywords
Cite
@article{arxiv.1805.00454,
title = {On the iteration of quasimeromorphic mappings},
author = {Luke Warren},
journal= {arXiv preprint arXiv:1805.00454},
year = {2018}
}
Comments
14 pages