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Percolation processes

II. The connective constant

Published online by Cambridge University Press:  24 October 2008

J. M. Hammersley
J. M. Hammersley
Affiliation:
Trinity CollegeOxford
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Abstract

The previous paper (1) omitted the proof of the theorem on the connective constant of a crystal. This paper supplies the proof. For ease of reference, we first recall the relevant nomenclature and enunciate the theorem; to this extent the present paper is self-contained.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 642 - 645
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Broadbent, S. R. and Hammersley, J. M.Percolation processes. I. Crystals and mazes. Proc. Camb. Phil. Soc. 53 (1957), 629–41.CrossRefGoogle Scholar
(2)Hille, E.Functional analysis and semi-groups (Colloq. Amer. Math. Soc. 31, New York, 1948).Google Scholar