Percolation theory and first-passage percolation. (English) Zbl 0629.60103

A survey of a number of principal problems and results in percolation theory and first-passage percolation is given. Power laws and scaling relations are discussed. The results are given with no proofs, but with heuristical explanations. A number of open problems and a detailed bibliography can be useful for the reader interested in percolation theory.
Reviewer: V.Chulaevsky


60K35 Interacting random processes; statistical mechanics type models; percolation theory
82B43 Percolation
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
60K10 Applications of renewal theory (reliability, demand theory, etc.)
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