Abstract
In this paper we prove the existence, uniqueness and stability of the invariant distribution of a random dynamical system in which the admissible family of laws of motion consists of monotone maps from a closed subset of a finite dimensional Euclidean space into itself.
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Bhattacharya, R., Majumdar, M. Random iterates of monotone maps. Rev Econ Design 14, 185–192 (2010). https://doi.org/10.1007/s10058-008-0064-5
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DOI: https://doi.org/10.1007/s10058-008-0064-5