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First-passage percolation processes with finite height

Published online by Cambridge University Press:  14 July 2016

Norbert Herrndorf
Norbert Herrndorf*
Affiliation:
Universität Köln
*
∗ Postal address: Mathematisches Institut der Universität Köln, Weyerthal 86–90, D-5000 Köln 41, West Germany.
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Abstract

We consider first-passage percolation in an infinite horizontal strip of finite height. Using methods from the theory of Markov chains, we prove a central limit theorem for first-passage times, and compute the time constants for some special cases.

Keywords

TIME CONSTANTCENTRAL LIMIT THEOREM FOR FIRST-PASSAGE TIMESBERNOULLI PERCOLATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 22 , Issue 4 , December 1985 , pp. 766 - 775
Copyright
Copyright © Applied Probability Trust 1985 

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References

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