SLE 6 and CLE 6 from critical percolation
نویسنده
چکیده
We review some of the recent progress on the scaling limit of two-dimensional critical percolation; in particular, the convergence of the exploration path to chordal SLE6 and the full scaling limit of cluster interface loops. The results given here on the full scaling limit and its conformal invariance extend those presented previously. For site percolation on the triangular lattice, the results are fully rigorous. We explain some of the main ideas, skipping most technical details.
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ar X iv : m at h / 06 11 11 6 v 1 [ m at h . PR ] 5 N ov 2 00 6 SLE 6 and CLE 6 from Critical Percolation ∗
We review some of the recent progress on the scaling limit of two-dimensional critical percolation; in particular, the convergence of the exploration path to chordal SLE6 and the “full” scaling limit of cluster interface loops. The results given here on the full scaling limit and its conformal invariance extend those presented previously. For site percolation on the triangular lattice, the resu...
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