All Outputs (2)

Superattracting fixed points of quasiregular mappings (2014)
Journal Article
Fletcher, A., & Nicks, D. A. (2016). Superattracting fixed points of quasiregular mappings. Ergodic Theory and Dynamical Systems, 36(3), https://doi.org/10.1017/etds.2014.88

We investigate the rate of convergence of the iterates of an n-dimensional quasiregular mapping within the basin of attraction of a fixed point of high local index. A key tool is a refinement of a result that gives bounds on the distortion of the ima... Read More about Superattracting fixed points of quasiregular mappings.

Foundations for an iteration theory of entire quasiregular maps (2014)
Journal Article
Bergweiler, W., & NICKS, D. (2014). Foundations for an iteration theory of entire quasiregular maps. Israel Journal of Mathematics, 201(1), 147-184. https://doi.org/10.1007/s11856-014-1081-4

The Fatou-Julia iteration theory of rational functions has been extended to uniformly quasiregular mappings in higher dimension by various authors, and recently some results of Fatou-Julia type have also been obtained for non-uniformly quasiregular m... Read More about Foundations for an iteration theory of entire quasiregular maps.