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Generalized Gibbs states and Markov random fields

Published online by Cambridge University Press:  01 July 2016

C. J. Preston
C. J. Preston*
Affiliation:
University of Oxford
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Abstract

It is shown that the set of Markov random fields and Gibbs states with nearest neighbour potentials are the same for any finite graph. The set of Markov random fields is also shown to be the same as the equilibrium states of time-reversible birth/death processes with nearest neighbour interactions defined on the graph.

Keywords

MARKOV RANDOM FIELDGIBBS STATENEAREST NEIGHBOUR POTENTIALSBIRTH/DEATH PROCESS
Type
Research Article
Information
Advances in Applied Probability , Volume 5 , Issue 2 , August 1973 , pp. 242 - 261
Copyright
Copyright © Applied Probability Trust 1973 

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References

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