Dynamics of inner functions revisited
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917090436317184 |
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| author | Aaronson, Jon Nadkarni, Mahendra |
| author_facet | Aaronson, Jon Nadkarni, Mahendra |
| contents | We study the circle restrictions of inner functions of the unit disc showing that the local invertibility of a restriction is independent of its singularity set and proving a local characterization of analytic conditional expectations.
We establish central limit properties for some stochastic processes driven by probability preserving restrictions via spectral analysis of their perturbed transfer operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_15278 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dynamics of inner functions revisited Aaronson, Jon Nadkarni, Mahendra Dynamical Systems Complex Variables Probability 30J05, 37C30, 60F05, 28A50 We study the circle restrictions of inner functions of the unit disc showing that the local invertibility of a restriction is independent of its singularity set and proving a local characterization of analytic conditional expectations. We establish central limit properties for some stochastic processes driven by probability preserving restrictions via spectral analysis of their perturbed transfer operators. |
| title | Dynamics of inner functions revisited |
| topic | Dynamical Systems Complex Variables Probability 30J05, 37C30, 60F05, 28A50 |
| url | https://arxiv.org/abs/2305.15278 |