Mixing and ergodicity of compositions of inner functions

TL;DR

This paper investigates the ergodic and mixing behaviors of non-autonomous dynamical systems on the unit circle created by compositions of inner functions that fix the origin, enhancing understanding of their long-term statistical properties.

Contribution

It provides new insights into the ergodic and mixing properties of compositions of inner functions, a topic not extensively explored before.

Findings

Identifies conditions under which compositions are ergodic.

Establishes criteria for mixing behavior in these systems.

Contributes to the theory of non-autonomous dynamical systems on the unit circle.

Abstract

We study ergodic and mixing properties of non-autonomous dynamics on the unit circle generated by inner functions fixing the origin.