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A curious binary lattice process

Published online by Cambridge University Press:  14 July 2016

D. K. Pickard
D. K. Pickard*
Affiliation:
The Australian National University
*
*Now at Harvard University.
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Abstract

A rigorous treatment is given for a construction via Markov chains of a binary (0–1) stationary homogeneous Markov random field on Z × Z. The resulting process possesses rather interesting properties. For example, its correlation structure is geometric and it may be easily simulated. Some of the results are rather unintuitive — indeed counter-intuitive — but their demonstration is straightforward involving only the most elementary properties of Markov chains.

Keywords

GIBBS ENSEMBLESLATTICE PROCESSES0 − 1 MARKOV RANDOM FIELDSGROWTH MODELSMARKOV CHAIN CONSTRUCTIONGEOMETRIC CORRELATIONSDIRECT SIMULATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 4 , December 1977 , pp. 717 - 731
Copyright
Copyright © Applied Probability Trust 1977 

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