Limit of the Wulff Crystal when approaching criticality for site percolation on the triangular lattice

作者：Duminil Copin Hugo^*

来源：Electronic Communications in Probability, 2013, 18(0): 1-9.

DOI：10.1214/ECP.v18-3163

• planar percolation
• near-critical regime
• inverse correlation length
• Wulff crystal

The understanding of site percolation on the triangular lattice progressed greatly in the last decade. Smirnov proved conformal invariance of critical percolation, thus paving the way for the construction of its scaling limit. Recently, the scaling limit of near-critical percolation was also constructed by Garban, Pete and Schramm. The aim of this article is to explain how these results imply the convergence, as p tends

• 出版日期2013-12-18