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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.16002 |
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| _version_ | 1866915942108233728 |
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| author | Chen, Yukun Fu, Xiangdi Lin, Zhaofeng Qiu, Yanqi |
| author_facet | Chen, Yukun Fu, Xiangdi Lin, Zhaofeng Qiu, Yanqi |
| contents | A Berry--Esséen theorem for linear combinations of iterates of an inner function is obtained. Our proof, which is based an elementary transfer argument and classical results in martingale theory, also leads to a simple proof of Nicolau and Soler i Gibert's central limit theorem for inner functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16002 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Normal approximation for iterated inner functions Chen, Yukun Fu, Xiangdi Lin, Zhaofeng Qiu, Yanqi Probability Complex Variables Functional Analysis 60F05, 30J05, 37F10 A Berry--Esséen theorem for linear combinations of iterates of an inner function is obtained. Our proof, which is based an elementary transfer argument and classical results in martingale theory, also leads to a simple proof of Nicolau and Soler i Gibert's central limit theorem for inner functions. |
| title | Normal approximation for iterated inner functions |
| topic | Probability Complex Variables Functional Analysis 60F05, 30J05, 37F10 |
| url | https://arxiv.org/abs/2604.16002 |