We give a survey of some of the principal results in percolation theory and first-passage percolation. No proofs are given. Open problems abound and are usually displayed with a number ($\ast$ P).
Publié le : 1987-10-14
Classification:
Percolation,
first-passage percolation,
phase transition,
power laws,
critical exponents,
scaling relations,
resistance of random networks,
flow problem,
incipient infinite cluster,
invasion percolation,
asymptotic shape,
Eden's model,
time constants,
minimal surfaces,
60K35,
82A43,
82A68,
60K10
@article{1176991975,
author = {Kesten, Harry},
title = {Percolation Theory and First-Passage Percolation},
journal = {Ann. Probab.},
volume = {15},
number = {4},
year = {1987},
pages = { 1231-1271},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991975}
}
Kesten, Harry. Percolation Theory and First-Passage Percolation. Ann. Probab., Tome 15 (1987) no. 4, pp. 1231-1271. http://gdmltest.u-ga.fr/item/1176991975/