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Lower bounds for the critical probability in percolation models with oriented bonds

Published online by Cambridge University Press:  14 July 2016

Lawrence Gray ,
John C. Wierman  and
R. T. Smythe
Lawrence Gray*
Affiliation:
University of Minnesota
John C. Wierman*
Affiliation:
University of Minnesota
R. T. Smythe*
Affiliation:
University of Oregon
*
∗Postal address: School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455, U.S.A. Research partly supported by NSF Grants MSC 7405786 and 7701845.
∗Postal address: School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455, U.S.A. Research partly supported by NSF Grants MSC 7405786 and 7701845.
∗∗Postal address: Department of Mathematics, University of Oregon, Eugene, OR 97403, U.S.A. Research partly supported by NSF Grant MSC 7701845.
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Abstract

In completely or partially oriented percolation models, a conceptually simple method, using barriers to enclose all open paths from the origin, improves the best previous lower bounds for the critical percolation probabilities.

Keywords

PERCOLATIONCRITICAL PROBABILITYCONTACT PROCESSES
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 979 - 986
Copyright
Copyright © Applied Probability Trust 

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References

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