Dynamics of inner functions revisited
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.
Fields of Study & Subjects
Holomorphic and Operator Theory
Spectral Theory in Mathematical Physics
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Studia Mathematica
- Publisher
- Institute of Mathematics, Polish Academy of Sciences
- Publication date
- 14 July 2026
- Language
- EN