The Annals of Probability

Partial Coupling and Loss of Memory for Markov Chains

David Griffeath

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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.

Article information

Source
Ann. Probab., Volume 4, Number 5 (1976), 850-858.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176995989

Digital Object Identifier
doi:10.1214/aop/1176995989

Mathematical Reviews number (MathSciNet)
MR418243

Zentralblatt MATH identifier
0347.60048

JSTOR
links.jstor.org

Subjects
Primary: 60J05: Discrete-time Markov processes on general state spaces

Keywords
Nonhomogeneous Markov chains coupling tail $\sigma$-algebra mixing weak ergodicity 0-1 law

Citation

Griffeath, David. Partial Coupling and Loss of Memory for Markov Chains. Ann. Probab. 4 (1976), no. 5, 850--858. doi:10.1214/aop/1176995989. https://projecteuclid.org/euclid.aop/1176995989


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