5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.CV2015★ 1 cited
Baker's conjecture for functions with real zeros
D. A. Nicks, P. J. Rippon, G. M. Stallard
Baker's conjecture states that a transcendental entire function of order less than has no unbounded Fatou components. It is known that, for such functions, there are no unbou…
math.DS2012
Chaotic dynamics of a quasiregular sine mapping
Alastair N. Fletcher, Daniel A. Nicks
This article studies the iterative behaviour of a quasiregular mapping S:\R^d\to\R^d that is an analogue of a sine function. We prove that the periodic points of S form a dense sub…
math.CV2009★ 5 cited
Quasiregular dynamics on the n-sphere
Alastair Fletcher, Daniel A. Nicks
In this article, we investigate the boundary of the escaping set I(f) for quasiregular mappings on R^n, both in the uniformly quasiregular case and in the polynomial type case. The…