D. Sixsmith

activity

20122020

most citedHyperbolic entire functions and the Eremenko-Lyubich class: Class

B

or not class

B

17 citations · 69 across the 12 of their papers we have counts for

collaborators

Showing 2015 · math.DSShow all

2 papers · 2 filters

math.DS2015

Periodic domains of quasiregular maps

Daniel A. Nicks, David J. Sixsmith

We consider the iteration of quasiregular maps of transcendental type from $R^{d}$ to $R^{d}$ . We give a bound on the rate at which the iterates of such a map can esc…

math.DS2015★ 11 cited

Hollow quasi-Fatou components of quasiregular maps

Daniel A. Nicks, David J. Sixsmith

We define a quasi-Fatou component of a quasiregular map as a connected component of the complement of the Julia set. A domain in $R^{d}$ is called hollow if it has a bounded…