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.
Enlargement of subgraphs of infinite graphs by Bernoulli percolation
Geodesics, bigeodesics, and coalescence in first passage percolation in general dimension
First passage percolation, local uniqueness for interlacements and capacity of random walk
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