Random iterations of homeomorphisms on the circle

Abstract

We study random independent and identically distributed iterations of functions from an iterated function system of homeomorphisms on the circle which is minimal. We show how such systems can be analyzed in terms of iterated function systems with probabilities which are non-expansive on average.

Keywords

• Markov chains
• stationary distributions
• minimal
• iterated function systems
• circle homeomorphisms
• synchronization