First-Passage Percolation on the Square Lattice

Smythe, R. T.

First-Passage Percolation on the Square Lattice [electronic resource] / by R. T. Smythe, John C. Wierman. - X, 198 p. online resource. - Lecture Notes in Mathematics, 671 0075-8434 ; . - Lecture Notes in Mathematics, 671 .

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.

9783540357445

10.1007/BFb0063306 doi


Mathematics.
Mathematics, general.

QA1-939

510
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