Invariant measures for iterated function systems
Tom 75 / 2000
Annales Polonici Mathematici 75 (2000), 87-98 DOI: 10.4064/ap-75-1-87-98
A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.