First-Passage Percolation on the Square Lattice
R. T. SmytheJ. C. Wierman
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First-Passage Percolation on the Square Lattice

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Preliminaries.- Bernoulli percolation.- Definition of the basic processes and the existence of routes.- Convergence of the first-passage processes.- Renewal theory for percolation processes.- The time constant.- Route length and the height process.- Other percolation models on the square lattice.- Conjectures and open problems.