Generalized Gibbs states and Markov random fields-Reference-Cited by-同舟云学术

Generalized Gibbs states and Markov random fields

Published:1973-08 Issue:2 Volume:5 Page:242-261
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Preston C. J.

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference8 articles.

1. Hammersley J. M. and Clifford P. Markov fields on finite graphs and lattices. Unpublished.

2. Markov random fields and gibbs random fields

3. Physical nearest-neighbor models and non-linear time series. II. Further discussion of approximate solutions and exact equations;Bartlett;J. Appl. Prob.,1972

4. Physical nearest-neighbour models and non-linear time-series

5. Markov Random Fields and Gibbs Ensembles

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