1 citations · 1 across the 6 of their papers we have counts for
9 papers
Bounded-orbit wandering domains do not exist
Kostiantyn Drach, Leticia Pardo-Simón, Beno Učakar
This paper establishes that transcendental entire functions do not have wandering Fatou components whose forward orbit is bounded. This settles a long-standing question in transcen…
Teichmüller spaces and normal forms associated to wandering domains
Núria Fagella, Gustavo R. Ferreira, Leticia Pardo-Simón
We study the dynamical Teichmüller space associated to a wandering domain of an entire function . We show that a discrete grand orbit relation in for…
Simply Connected Wandering Domains of Small Order Entire Functions
Adi Glücksam, Leticia Pardo-Simón
We show that any bounded, simply connected domain with analytic boundary can be realised as a wandering domain of an entire function of any prescribed order in . Extending…
From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
Núria Fagella, Leticia Pardo-Simón
This article surveys the impact of Eremenko and Lyubich's paper ''Examples of entire functions with pathological dynamics'', published in 1987 in the Journal of the LMS. Through a…
Grand orbit relations in wandering domains
Vasiliki Evdoridou, Núria Fagella, Lukas Geyer +1
One of the fundamental distinctions in McMullen and Sullivan's description of the Teichmüller space of a complex dynamical system is between discrete and indiscrete grand orbit rel…
Wandering domains with nearly bounded orbits
Leticia Pardo-Simón, David J. Sixsmith
A major open question in transcendental dynamics asks if it is possible for points in a wandering domain to have bounded orbits, and more strongly, for a wandering domain to iterat…
Unbounded fast escaping wandering domains
Vasiliki Evdoridou, Adi Glücksam, Leticia Pardo-Simón
We introduce a new approximation technique into the context of complex dynamics that allows us to construct examples of transcendental entire functions with unbounded wandering dom…
Topological dynamics of cosine maps
Leticia Pardo-Simón
The set of points that escape to infinity under iteration of a cosine map, that is, of the form for , consists of a…
Splitting hairs with transcendental entire functions
Leticia Pardo-Simón
In recent years, there has been significant progress in the understanding of the dynamics of transcendental entire functions with bounded postsingular set. In particular, for certa…