On the Rate of Convergence for Critical Crossing Probabilities

2012/10/06 by I. Binder, Ilia Binder, L. Chayes +5
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1210.1917

61 pages

openalex publication_date 2012/10/06 · arxiv created 2013/07/02 · arxiv updated 2013/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the site percolation model on the triangular lattice and certain generalizations for which Cardy's Formula has been established we acquire a power law estimate for the rate of convergence of the crossing probabilities to Cardy's Formula.

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