Partial Coupling and Loss of Memory for Markov Chains

David Griffeath

doi:10.1214/aop/1176995989

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Home > Journals > Ann. Probab. > Volume 4 > Issue 5 > Article

October, 1976 Partial Coupling and Loss of Memory for Markov Chains

David Griffeath

Ann. Probab. 4(5): 850-858 (October, 1976). DOI: 10.1214/aop/1176995989

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Abstract

Coupling methods are used to obtain a structure theorem for the atomic decomposition of the tail $\sigma$-algebra of an arbitrary nonhomogeneous Markov chain. Various related results are also derived by coupling.

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David Griffeath. "Partial Coupling and Loss of Memory for Markov Chains." Ann. Probab. 4 (5) 850 - 858, October, 1976. https://doi.org/10.1214/aop/1176995989