A scaling limit of crossing probabilities for critical percolation on the square lattice

Yu Zhang

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arXiv · 2206.04599

A scaling limit of crossing probabilities for critical percolation on the square lattice

Yu Zhang

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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.

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Yu Zhang. 2022-06-09. A scaling limit of crossing probabilities for critical percolation on the square lattice. https://arxiv.org/abs/2206.04599

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