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arXiv · 2604.25320

Stability of Blaschke products under forward iteration

Daniela Kraus·Annika Moucha·Oliver Roth
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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.

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Daniela Kraus, Annika Moucha, Oliver Roth. 2026-04-28. Stability of Blaschke products under forward iteration. https://arxiv.org/abs/2604.25320

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