The rate of convergence for function systems on the circle
Volume 159 / 2020
Colloquium Mathematicum 159 (2020), 77-89
MSC: Primary 60F05, 60J05; Secondary 37A25, 37A50.
DOI: 10.4064/cm7650-1-2019
Published online: 10 October 2019
Abstract
The rate of convergence of the iterates of the Markov operator corresponding to an iterated function system consisting of homeomorphisms of the circle is provided. As an application we obtain the Central Limit Theorem and the Law of the Iterated Logarithm for a natural class of observables.
