3 papers
math.DS2019
On the connectivity of the escaping set in the punctured plane
Vasiliki Evdoridou, David Martí-Pete, David J. Sixsmith
We consider the dynamics of transcendental self-maps of the punctured plane, . We prove that the escaping set is either connected, or…
math.DS2019
Spiders' webs in the punctured plane
Vasiliki Evdoridou, David Martí-Pete, David J. Sixsmith
Many authors have studied sets, associated with the dynamics of a transcendental entire function, which have the topological property of being a spider's web. In this paper we adap…
math.DS2018
Wandering domains for entire functions of finite order in the Eremenko-Lyubich class
David Martí-Pete, Mitsuhiro Shishikura
Recently Bishop constructed the first example of a bounded-type transcendental entire function with a wandering domain using a new technique called quasiconfomal folding. It is eas…