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Dynamics of inner functions revisited
[Submitted on 24 May 2023 (v1), last revised 10 Jul 2026 (this v · 2023-05-25 · via math updates on arXiv.org

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Abstract: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.

Submission history

From: Jon Aaronson [view email]
[v1] Wed, 24 May 2023 16:03:21 UTC (23 KB)
[v2] Sun, 18 Feb 2024 14:02:53 UTC (24 KB)
[v3] Tue, 30 Jul 2024 19:32:17 UTC (24 KB)
[v4] Wed, 19 Nov 2025 13:30:17 UTC (29 KB)
[v5] Fri, 10 Jul 2026 15:51:06 UTC (30 KB)