Scaling Limits of Two-Dimensional Percolation: an Overview
Probability
2008-10-08 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We present a review of the recent progress on percolation scaling limits in two dimensions. In particular, we will consider the convergence of critical crossing probabilities to Cardy's formula and of the critical exploration path to chordal SLE(6), the full scaling limit of critical cluster boundaries, and near-critical scaling limits.
Keywords
Cite
@article{arxiv.0810.1002,
title = {Scaling Limits of Two-Dimensional Percolation: an Overview},
author = {Federico Camia},
journal= {arXiv preprint arXiv:0810.1002},
year = {2008}
}
Comments
16 pages, 1 figure; written for a special issue of Satistica Neerlandica dedicated to EURANDOM's tenth anniversary