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Scaling limits of two‐dimensional percolation: an overview

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  • Federico Camia

Abstract

We present a review of the recent progress on percolation scaling limits in two dimensions. In particular, we consider the convergence of critical crossing probabilities to Cardy's formula and of the critical exploration path to chordal stochastic Loewner evolution (SLE6), the full scaling limit of critical cluster boundaries, and near‐critical scaling limits.

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  • Federico Camia, 2008. "Scaling limits of two‐dimensional percolation: an overview," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(3), pages 314-330, August.
    • Handle: RePEc:bla:stanee:v:62:y:2008:i:3:p:314-330
    DOI: 10.1111/j.1467-9574.2008.00400.x
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