Outputs (12)

Slow escaping points of quasiregular mappings (2016)
Journal Article
Nicks, D. A. (in press). Slow escaping points of quasiregular mappings. Mathematische Zeitschrift, https://doi.org/10.1007/s00209-016-1687-9

This article concerns the iteration of quasiregular mappings on Rd and entire functions on C. It is shown that there are always points at which the iterates of a quasiregular map tend to infinity at a controlled rate. Moreover, an asymptotic rate of... Read More about Slow escaping points of quasiregular mappings.

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.