English

Some highlights of percolation

Probability 2007-05-23 v1

Abstract

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).

Keywords

Cite

@article{arxiv.math/0212398,
  title  = {Some highlights of percolation},
  author = {Harry Kesten},
  journal= {arXiv preprint arXiv:math/0212398},
  year   = {2007}
}