First passage percolation and competition models

Published 4 May 2010 in math.PR | (1005.0649v1)

Abstract: This paper is a survey of various results and techniques in first passage percolation, a random process modeling a spreading fluid on an infinite graph. The latter half of the paper focuses on the connection between first passage percolation and a certain class of stochastic growth and competition models.

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Nathaniel D. Blair-Stahn

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