On Convergence to SLE${}_6$ II: Discrete Approximations and Extraction of Cardy's Formula for General Domains

Abstract

Following the approach outlined in [17], convergence to SLE${}_6$ of the Exploration Processes for the correlated bond-triangular type models studied in [6] is established in [3] and the present work. In this second part, we focus on establishing Cardy's Formula for general domains.

15 pages, 5 figures

References in corpus (4)

• Two-Dimensional Critical Percolation: The Full Scaling Limit
• SLE(6) and CLE(6) from Critical Percolation
• Discrete complex analysis on isoradial graphs
• On Convergence to SLE${}_6$ I: Conformal Invariance for Certain Models of the Bond-Triangular Type

Cited by in corpus (2)

• On Convergence to SLE${}_6$ I: Conformal Invariance for Certain Models of the Bond-Triangular Type
• On the Rate of Convergence for Critical Crossing Probabilities