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Synchronous and Asynchronous Reversible Markov Systems(1)

Published online by Cambridge University Press:  20 November 2018

D. A. Dawson
D. A. Dawson*
Affiliation:
Carleton University, Ottawa, Canada
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Abstract

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The relationships between synchronous and asynchronous reversible Markov systems are investigated. It is shown that the invariant measure of such systems is a second order Markov random field. The conditions under which the invariant measure is a first order Markov random field are obtained.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 5 , February 1975 , pp. 633 - 649
Copyright
Copyright © Canadian Mathematical Society 1975

Footnotes

(1)

This research was supported by the National Research Council of Canada.

References

1. Averintzev, M. B., On a method of describing discrete parameter random fields, Problemy Peredaci Informacii (6), 1970, 100–109.Google Scholar
2. Dawson, D. A., Information flow in discrete Markov systems, to appear in J. Appl. Prob.Google Scholar
3. Dobrushin, R. L., The description of a random field by means of conditional probabilities and conditions of its regularity, Th. Prob. Appl. (13), 1968, 197–224.Google Scholar
4. Kindermann, R. P., Random fields; theorems and examples, J. Undergraduate Mathematics (5), 1973, 25–34.Google Scholar
5. Spitzer, F., Random fields and interacting particle systems, Summer Seminar Notes, M.A.A., 1971.Google Scholar