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An upper bound for the velocity of first-passage percolation

Published online by Cambridge University Press:  14 July 2016

Svante Janson
Svante Janson*
Affiliation:
Uppsala University
*
∗Postal address: Department of Mathematics, Uppsala University, Thunbergsvägen 3, S-752 38 Uppsala, Sweden.
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Abstract

An upper bound for the asymptotic velocity in various directions of first-passage percolation on the square lattice is derived. In particular this gives a lower bound for the so-called time constant. The result is generalized to other lattices. Numerical examples are included.

Keywords

FIRST-PASSAGE PERCOLATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 1 , March 1981 , pp. 256 - 262
Copyright
Copyright © Applied Probability Trust 

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Footnotes

Research partly carried out at the Mittag-Leffler Institute.

References

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