First-passage percolation on the square lattice

Bibliographic Information

First-passage percolation on the square lattice

R.T. Smythe, John C. Wierman

(Lecture notes in mathematics, 671)

Springer-Verlag, 1978

  • : Berlin
  • : New York

Other Title

Percolation on the square lattice

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Note

Bibliography: p. [189]-193

Includes index

Description and Table of Contents

Table of Contents

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.

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