An Order-Theoretic Mixing Condition for Monotone Markov Chains
This page collects files for the paper An Order-Theoretic Mixing Condition for Monotone Markov Chains by Takashi Kamihigashi and John Stachurski.
We discuss stability of discrete-time Markov chains satisfying monotonicity and an order-theoretic mixing condition that can be seen as an alternative to irreducibility. A chain satisfying these conditions has at most one stationary distribution. Moreover, if there is a stationary distribution, then the chain is stable in an order-theoretic sense.