Dynamics of inner functions revisited
Volume 289 / 2026
Studia Mathematica 289 (2026), 201-230
MSC: Primary 30J05; Secondary 37C30, 60F05, 28A50
DOI: 10.4064/sm240730-5-12
Published online: 14 July 2026
Abstract
We study the circle restrictions of inner functions on 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.
