A scaling limit of crossing probabilities for critical percolation on the square lattice
Probability
2024-10-07 v2
Abstract
We show the existence of a scaling limit for the crossing probabilities on the square lattice in an equilateral triangle for the critical percolation. We also show that Cardy's formula does not hold on the square lattice for the critical percolation.
Cite
@article{arxiv.2206.04599,
title = {A scaling limit of crossing probabilities for critical percolation on the square lattice},
author = {Yu Zhang},
journal= {arXiv preprint arXiv:2206.04599},
year = {2024}
}
Comments
43 pages with 12 figures