Randomly connected dynamical systems - asymptotic stability
Volume 68 / 1998
Annales Polonici Mathematici 68 (1998), 31-50
DOI: 10.4064/ap-68-1-31-50
Abstract
We give sufficient conditions for asymptotic stability of a Markov operator governing the evolution of measures due to the action of randomly chosen dynamical systems. We show that the existence of an invariant measure for the transition operator implies the existence of an invariant measure for the semigroup generated by the system.
