Scaling limits of two-dimensional percolation: An overview

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)314-330
Number of pages17
JournalStatistica Neerlandica
Volume62
Issue number3
DOIs
StatePublished - 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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