Unique ergodicity for non-invertible function systems on an interval
Volume 289 / 2026
Studia Mathematica 289 (2026), 143-162
MSC: Primary 37E50; Secondary 37H12, 37A50, 37H30
DOI: 10.4064/sm250311-5-12
Published online: 15 June 2026
Abstract
We study random dynamical systems of certain continuous functions on the unit interval. We use bounded variation to provide sufficient conditions for unique ergodicity of these systems. Several classes of examples are provided.
