An Order-Theoretic Mixing Condition for Monotone Markov Chains

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英文文献：An Order-Theoretic Mixing Condition for Monotone Markov Chains
英文文献作者：Takashi Kamihigashi,John Stachurski
英文文献摘要：
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.

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