Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-15T05:56:03.355Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get accessRights & Permissions [Opens in a new window]

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

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 1 , March 1980, pp. 124 - 133
Copyright
Copyright © Applied Probability Trust 1980 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

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
Pickard, D. K. (1977) A curious binary lattice process. J. Appl. Prob. 14, 717–731.CrossRefGoogle Scholar
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
Welberry, T. R. and Miller, G. H. (1977) An approximation to a two-dimensional binary process. J. Appl. Prob. 14, 862–868.CrossRefGoogle Scholar