58 citations · 490 across the 38 of their papers we have counts for
40 papers
Absence of bounded-orbit wandering domains
Nikolai Prochorov, Lasse Rempe, James Waterman
We prove that transcendental entire functions do not have bounded-orbit wandering domains. This answers a long-standing open question. In fact, we prove a more general theorem, est…
A counterexample to Eremenko's conjecture
David Martí-Pete, Lasse Rempe, James Waterman
The escaping set of a transcendental entire function consists of those points that tend to infinity under iteration. Eremenko asked whether every connected component of this set is…
Wandering dynamics of transcendental functions
Vasiliki Evdoridou, David Martí-Pete, Lasse Rempe
We show that any uniformly escaping and wandering dynamics of a holomorphic function on a compact subset of the plane can be realised by a transcendental meromorphic function on $\…
The escaping set in transcendental dynamics
Walter Bergweiler, Lasse Rempe
The escaping set of an entire function consists of the points in the complex plane that tend to infinity under iteration. This set plays a central role in the dynamics of transcend…
Spiders' webs in the Eremenko-Lyubich class
Lasse Rempe
Consider the entire function . We show that the escaping set of this function - that is, the set of points whose orbits tend to infinity under iteration - has a stru…
Classifying multiply connected wandering domains
Gustavo Rodrigues Ferreira, Lasse Rempe
We study the internal dynamics of multiply connected wandering domains of meromorphic functions. We do so by considering the sequence of injectivity radii along the orbit of a base…