Asymptotic stability of a system of randomly connected transformations on Polish spaces
Volume 76 / 2001
Annales Polonici Mathematici 76 (2001), 197-211
MSC: Primary 47A35; Secondary 58F30.
DOI: 10.4064/ap76-3-3
Abstract
We give sufficient conditions for the existence of a matrix of probabilities $[p_{ik}]_{i,k=1}^N$ such that a system of randomly chosen transformations ${\mit \Pi }_k ,\ k=1,\dots ,N $, with probabilities $p_{ik}$ is asymptotically stable.
