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SLE(6) and CLE(6) from Critical Percolation

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arxiv math/0611116 v1 pith:HNXCZFKW submitted 2006-11-05 math.PR cond-mat.stat-mechmath-phmath.MP

Federico Camia , Charles M. Newman This is my paper · ORCID
classification math.PRcond-mat.stat-mechmath-phmath.MP
keywords limitpercolationscalingcriticalfullresultssomechordal
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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 SLE(6) 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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