4 papers
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…
A bound on the number of rationally invisible repelling orbits
Anna Miriam Benini, Núria Fagella
We consider entire transcendental maps with bounded set of singular values such that periodic rays exist and land. For such maps, we prove a refined version of the Fatou-Shishikura…
Singular values and non-repelling cycles for entire transcendental maps
Anna Miriam Benini, Núria Fagella
Let be a map with bounded set of singular values for which periodic dynamic rays exist and land. We prove that each non-repelling cycle is associated to a singular orbit which…
An entire transcendental family with a persistent Siegel disc
Ruben Berenguel, Nuria Fagella
We study the class of entire transcendental maps of finite order with one critical point and one asymptotic value, which has exactly one finite pre-image, and having a persistent S…