2 papers
math.CV2026
Stability of Blaschke products under forward iteration
Daniela Kraus, Annika Moucha, Oliver Roth
Forward iteration of holomorphic self-maps generalizes the iteration of a single function in a natural way. This framework arises in complex dynamics, for instance in the study of…
math.CV2024
The strong form of the Ahlfors-Schwarz lemma at the boundary and a rigidity result for Liouville's equation
Filippo Bracci, Daniela Kraus, Oliver Roth
We prove a boundary version of the strong form of the Ahlfors-Schwarz lemma with optimal error term. This result provides nonlinear extensions of the boundary Schwarz lemma of Burn…