The bungee set in quasiregular dynamics: THE BUNGEE SET IN QUASIREGULAR DYNAMICS

@inproceedings{Nicks2019TheBS,
  title={The bungee set in quasiregular dynamics: THE BUNGEE SET IN QUASIREGULAR DYNAMICS},
  author={Daniel A. Nicks and D. J. Sixsmith},
  year={2019}
}
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 infinite, and shares many properties with the bungee set of a transcendental entire function. By way of contrast, we give examples of novel properties of this set in the quasiregular setting. In particular, we give an example of a quasiconformal map… CONTINUE READING