One-arm exponent for critical 2D percolation

Abstract

The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than $R$ is proved to decay like $R^{-5/48}$ as $R\to \infty$.

References in corpus (3)

• Values of Brownian intersection exponents III: Two-sided exponents
• Path Crossing Exponents and the External Perimeter in 2D Percolation
• A percolation formula

Cited by in corpus (1)

• Rate of Convergence for Cardy's Formula