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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 College Oxford
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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.

Information

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.Google Scholar
(2) Hille, E. Functional analysis and semi-groups (Colloq. Amer. Math. Soc. 31, New York, 1948).Google Scholar