All Outputs (2)

The bungee set in quasiregular dynamics (2018)
Journal Article
Nicks, D. A., & Sixsmith, D. J. (2019). The bungee set in quasiregular dynamics. Bulletin of the London Mathematical Society, 51(1), 120-128. https://doi.org/10.1112/blms.12215

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 a quasiregular map of transcendental type. We show that this set is i... Read More about The bungee set in quasiregular dynamics.

Baker's conjecture for functions with real zeros (2018)
Journal Article
Nicks, D. A., Rippon, P., & Stallard, G. (2018). Baker's conjecture for functions with real zeros. Proceedings of the London Mathematical Society, 117(1), 100-124. https://doi.org/10.1112/plms.12124

Baker's conjecture states that a transcendental entire function of order less than 1=2 has no unbounded Fatou components. It is known that, for such functions, there are no unbounded periodic Fatou components and so it remains to show that they can a... Read More about Baker's conjecture for functions with real zeros.