The Central Limit Theorem for function systems on the circle

2017/03/30 by Szarek, Tomasz, Zdunik, Anna
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.10465

Abstract

The Central Limit Theorem for Iterated Functions Systems on the circle is proved. We study also ergodicity of such systems.

Related

• Stability of iterated function systems on the circle
• Ergodicity and central limit theorem for random interval homeomorphisms
• A Central Limit Theorem for Inner Functions
• An analogue of Law of Iterated Logarithm for Heavy Tailed Random Variables
• Central Limit Theorem for Sequential Dynamical Systems