Continuous Markov chains in a random environment are modeled as a linear RODE on a probability simplex. The positivity of the solutions of such linear RODEs is established and the resulting linear random dynamical system is shown to be strongly contracting and to possess a random attractor consisting of singleton sets.
CITATION STYLE
Han, X., & Kloeden, P. E. (2017). Random Markov Chains. In Probability Theory and Stochastic Modelling (Vol. 85, pp. 215–222). Springer Nature. https://doi.org/10.1007/978-981-10-6265-0_18
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