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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
23 pages, 6 figures

Keywords

Probability, Statistical Mechanics, Mathematical Physics, 82B27, 60K35, 82B43, 60D05, 30C35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/119146

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611116
 http://arxiv.org/abs/math/0611116

Collections

arXiv