23 citations · 35 across the 4 of their papers we have counts for
6 papers
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…
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…
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…
Escaping Fatou components of transcendental self-maps of the punctured plane
David Martí-Pete
We study the iteration of transcendental self-maps of , that is, holomorphic functions for which both zero…
Dynamic rays of bounded-type transcendental self-maps of the punctured plane
Núria Fagella, David Martí-Pete
We study the escaping set of functions in the class , that is, holomorphic functions for which both zero and infinity are essential sing…
The escaping set of transcendental self-maps of the punctured plane
David Martí-Pete
We study the different rates of escape of points under iteration by holomorphic self-maps of for which both 0 and are essential sing…