Stability of Blaschke products under forward iteration
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917442978054144 |
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| author | Kraus, Daniela Moucha, Annika Roth, Oliver |
| author_facet | Kraus, Daniela Moucha, Annika Roth, Oliver |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25320 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stability of Blaschke products under forward iteration Kraus, Daniela Moucha, Annika Roth, Oliver Complex Variables 30J10, 30D05 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. |
| title | Stability of Blaschke products under forward iteration |
| topic | Complex Variables 30J10, 30D05 |
| url | https://arxiv.org/abs/2604.25320 |