Scaling limits of two-dimensional percolation: An overview

Federico Camia

doi:10.1111/j.1467-9574.2008.00400.x

Scaling limits of two-dimensional percolation: An overview

Federico Camia

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	314-330
Number of pages	17
Journal	Statistica Neerlandica
Volume	62
Issue number	3
DOIs	https://doi.org/10.1111/j.1467-9574.2008.00400.x
State	Published - Aug 2008

Keywords

Conformal invariance
Critical behavior
Massive scaling
Near-critical behavior
SLE

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1111/j.1467-9574.2008.00400.x

Cite this

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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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Scaling limits of two-dimensional percolation: An overview

Abstract

Keywords

ASJC Scopus subject areas

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