Daniel A. Nicks

activity

20092026

most citedQuasiregular dynamics on the n-sphere

5 citations · 6 across the 5 of their papers we have counts for

collaborators

Showing 2018 · math.DSShow all

2 papers · 2 filters

math.DS2018

Eremenko's conjecture for functions with real zeros: the role of the minimum modulus

Daniel A. Nicks, Philip J. Rippon, Gwyneth M. Stallard

We show that for many families of transcendental entire functions $f$ the property that $m^{n} (r) \to \infty$ as $n \to \infty$ , for some $r > 0$ , where $m (r) = min {∣ f (z) ∣ : ∣ z ∣ = r}$ , impli…

math.DS2018

The bungee set in quasiregular dynamics

Daniel A. Nicks, David J. Sixsmith

In complex dynamics, the bungee set is defined as the set points whose orbit is neither bounded nor tends to infinity. In this paper we study, for the first time, the bungee set of…