8 papers · 1 filter
Oscillating simply connected wandering domains
Vasiliki Evdoridou, Philip J. Rippon, Gwyneth M. Stallard
Although detailed descriptions of the possible types of behaviour inside periodic Fatou components have been known for over 100 years, a classification of wandering domains has onl…
Fatou's associates
Vasiliki Evdoridou, Lasse Rempe, David J. Sixsmith
Suppose that is a transcendental entire function, is a simply connected domain, and is a connected component of . Using Riemann maps, w…
Classifying simply connected wandering domains
Anna Miriam Benini, Vasiliki Evdoridou, Núria Fagella +2
While the dynamics of transcendental entire functions in periodic Fatou components and in multiply connected wandering domains are well understood, the dynamics in simply connected…
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…
Dynamics of generalised exponential maps
Patrick Comdühr, Vasiliki Evdoridou, David J. Sixsmith
Since 1984, many authors have studied the dynamics of maps of the form , with . It is now well-known that the Julia set of such a map has an intr…
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…