7 citations · 9 across the 4 of their papers we have counts for
11 papers
On a result of Hayman concerning the maximum modulus set
Vasiliki Evdoridou, Leticia Pardo-Simón, David J. Sixsmith
The set of points where an entire function achieves its maximum modulus is known as the maximum modulus set. In 1951, Hayman studied the structure of this set near the origin. Foll…
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…
The topology of the set of non-escaping endpoints
Vasiliki Evdoridou, David J. Sixsmith
There are several classes of transcendental entire functions for which the Julia set consists of an uncountable union of disjoint curves each of which joins a finite endpoint to in…
Non-escaping endpoints do not explode
Vasiliki Evdoridou, Lasse Rempe-Gillen
The family of exponential maps is of fundamental importance in the study of transcendental dynamics. Here we consider the topological structure of certain subsets o…
Regularity and growth conditions for fast escaping points of entire functions
Vasiliki Evdoridou
Let be a transcendental entire function. The quite fast escaping set, , and the set which was defined recently, are equal to the fast escaping set, unde…
Fatou's web
Vasiliki Evdoridou
Let be Fatou's function, that is, . We prove that the escaping set of has the structure of a `spider's web' and we show that this result implies that the…