3 papers
math.CV2020
On the geometry of simply connected wandering domains
Luka Boc Thaler
We study the geometry of simply connected wandering domains for entire functions and we prove that every bounded connected regular open set, whose closure has a connected complemen…
math.CV2020
Automorphisms of with bounded wandering domains
Luka Boc Thaler
We prove that the Euclidean ball can be realized as a Fatou component of a holomorphic automorphism of , in particular as the escaping and the oscillating wandering d…
math.CV2019
Entire functions with prescribed singular values
Luka Boc Thaler
We introduce a new class of entire functions which consists of all for which there exists a sequence $(F_n)\in \mathcal{O}(\mathbb{C})…