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arXiv · 2305.15278

Dynamics of inner functions revisited

Jon Aaronson·Mahendra Nadkarni
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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.

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Jon Aaronson, Mahendra Nadkarni. 2023-05-24. Dynamics of inner functions revisited. https://arxiv.org/abs/2305.15278

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