Probability Seminar——Asymptotics for 2D critical and near-critical first-passage percolation
报告人：Changlong Yao（Chinese Academy of Sciences）
地点：Room 1418, Sciences Building No. 1
Abstract: We study Bernoulli first-passage percolation on the triangular lattice in which sites have 0 and 1
passage times with probability p and 1-p, respectively. At p=1/2, we obtain explicit limit theorems for the
point to point passage times. For the supercritical phase, we give exact asymptotics for the passage times
from the origin to the infinite cluster with 0-time sites, as p tending to 1/2. The proof uses conformal loop
ensemble (6), the critical exponent for correlation length and Kesten’s scaling relations.