arXiv Analytics

Sign in

arXiv:math/0212398 [math.PR]AbstractReferencesReviewsResources

Some highlights of percolation

Harry Kesten

Published 2002-12-01Version 1

We describe the percolation model and some of the principal results and open problems in percolation theory. We also discuss briefly the spectacular recent progress by Lawler, Schramm, Smirnov and Werner towards understanding the phase transition of percolation (on the triangular lattice).

Journal: Proceedings of the ICM, Beijing 2002, vol. 1, 345--362
Categories: math.PR
Subjects: 60K35, 82B43
Related articles: Most relevant | Search more
arXiv:math/0612812 [math.PR] (Published 2006-12-28)
Uniqueness and non-uniqueness in percolation theory
arXiv:math/0507220 [math.PR] (Published 2005-07-11)
Percolation theory
arXiv:2005.02899 [math.PR] (Published 2020-05-06)
The OSSS Method in Percolation Theory

Links

Toolbox