58 citations · 490 across the 38 of their papers we have counts for
3 papers · 1 filter
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 $\…