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General first-passage percolation

Published online by Cambridge University Press:  01 July 2016

Colin McDiarmid
Colin McDiarmid*
Affiliation:
Wolfson College, Oxford
*
∗Postal address: Institute of Economics and Statistics, St. Cross Building, Manor Road, Oxford OX1 3UL, U.K.
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Abstract

We present some general results related to first-passage percolation. These results involve families of random variables arranged in independent subfamilies. Applications are given to the study of random networks and to first-passage percolation.

Keywords

FIRST-PASSAGE PERCOLATIONCLUTTERRANDOM NETWORK
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 1 , March 1983 , pp. 149 - 161
Copyright
Copyright © Applied Probability Trust 1983 

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