12 citations · 12 across the 4 of their papers we have counts for
4 papers
Non-bulging Baker domains for transcendental skew products
Anna Miriam Benini, Tom Potthink, Jasmin Raissy
In this paper we show that Baker domains of transcendental skew products can either bulge or not, depending on the higher order terms. This is in contrast to polynomial skew produc…
Bifurcation for families of Ahlfors island maps
Matthieu Astorg, Anna Miriam Benini, Nuria Fagella
We extend Mañé-Sad-Sullivan and Lyubich's equivalent characterization of stability to the setting of Ahlfors island maps, which include notably all meromorphic maps. As a consequen…
The Denjoy-Wolff Theorem in simply connected domains
Anna Miriam Benini, Filippo Bracci
We characterize the simply connected domains that exhibit the Denjoy-Wolff Property, meaning that every holomorphic self-map of without fixed points has…
A separation theorem for entire transcendental maps
Anna Miriam Benini, Nuria Fagella
We study the distribution of periodic points for a wide class of maps, namely entire transcendental functions of finite order and with bounded set of singular values, or compositio…