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Physical nearest-neighbour models and non-linear time-series. II Further discussion of approximate solutions and exact equations

Published online by Cambridge University Press:  14 July 2016

M. S. Bartlett
M. S. Bartlett*
Affiliation:
University of Oxford
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Abstract

The approximate two- and three-dimensional solutions for spatial correlations, using the non-linear time-series approach for nearest-neighbour systems developed in my previous paper, are further discussed.

Orthogonal expansions for the correlation functions are also developed which determine with this approach, though so far only in principle, the exact solutions.

Keywords

NEAREST NEIGHBOUR MULTIDIMENSIONAL CORRELATIONSAPPROXIMATE SOLUTIONSORTHOGONAL EXPANSIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 9 , Issue 1 , March 1972 , pp. 76 - 86
Copyright
Copyright © Applied Probability Trust 1972 

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References

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