On the Rate of Convergence for Critical Crossing Probabilities

Abstract

For the site percolation model on the triangular lattice and certain generalizations for which Cardy's Formula has been established we acquire a power law estimate for the \emph{rate} of convergence of the crossing probabilities to Cardy's Formula.

61 pages

References in corpus (3)

• On Convergence to SLE${}_6$ I: Conformal Invariance for Certain Models of the Bond-Triangular Type
• On Convergence to SLE${}_6$ II: Discrete Approximations and Extraction of Cardy's Formula for General Domains
• Rate of Convergence for Cardy's Formula

Cited by in corpus (1)

• Conformal invariance of the exploration path in 2-d critical bond percolation in the square lattice