Stability of Blaschke products under forward iteration
Complex Variables
2026-04-29 v1
Abstract
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 wandering domains and in seeking suitable extensions of the Denjoy-Wolff theorem. Here, we consider forward iteration of Blaschke products. We prove that the classes of indestructible and maximal Blaschke products are stable under forward iteration.
Cite
@article{arxiv.2604.25320,
title = {Stability of Blaschke products under forward iteration},
author = {Daniela Kraus and Annika Moucha and Oliver Roth},
journal= {arXiv preprint arXiv:2604.25320},
year = {2026}
}
Comments
to appear in Bull. Lond. Math. Soc