Scaling Limits of Two-Dimensional Percolation: an Overview

Details Scaling Limits of Two-Dimensional Percolation: an Overview Scaling Limits of Two-Dimensional Percolation: an Overview

2008-10-06

arxiv.org/abs/0810.1002v1

Mathematics

Probability

16 pages, 1 figure; written for a special issue of Satistica Neerlandica dedicated to EURANDOM's tenth anniversary

Scientific paper

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.

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