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Ergodic properties of a two-dimensional binary process

Published online by Cambridge University Press:  14 July 2016

R. F. Galbraith  and
D. Walley
R. F. Galbraith*
Affiliation:
University College London
D. Walley*
Affiliation:
University College London
*
∗Postal address: Department of Statistics and Computer Science, University College London, Gower St., London WC1E 6BT, U.K.
∗Postal address: Department of Statistics and Computer Science, University College London, Gower St., London WC1E 6BT, U.K.
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Abstract

Sufficient conditions are derived for ergodicity of the two-dimensional process of binary variables discussed by Galbraith and Walley (1976).

Keywords

TWO-DIMENSIONAL PROCESSBINARY VARIABLESERGODICITYINHOMOGENEOUS PRODUCTS OF STOCHASTIC MATRICES
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 1 , March 1980 , pp. 124 - 133
Copyright
Copyright © Applied Probability Trust 1980 

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References

Enting, I. S. (1977) Crystal growth models and Ising models, disorder points. J. Phys. C: Solid State Phys. 10, 1379–1388.Google Scholar
Galbraith, R. F. and Walley, D. (1976) On a two-dimensional binary process. J. Appl. Prob. 13, 548–557.CrossRefGoogle Scholar
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Pickard, D. K. (1978) Unilateral Ising models. Suppl. Adv. Appl. Prob. 10, 58–64.Google Scholar
Seneta, E. (1973) Non-negative Matrices. Allen and Unwin, London.Google Scholar
Welberry, T. R. (1977) Solution of crystal growth discorder models by imposition of symmetry. Proc. R. Soc. London A 353, 363–376.Google Scholar
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