{"id":"openai-math/Cardys-formula-for-critical-Poisson-Voronoi-percolation","pdf":"https://github.com/openai/math/blob/main/preprints/Cardys-formula-for-critical-Poisson-Voronoi-percolation-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Cardys-formula-for-critical-Poisson-Voronoi-percolation-September-23-2026","tags":["percolation","conformal-invariance","probability"],"score":0,"title":"Cardy’s formula for critical Poisson–Voronoi percolation","domain":"Probability and statistical mechanics","family":"224","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"We prove Cardy's formula for annealed crossing probabilities in critical planar Poisson–Voronoi percolation in every bounded Jordan quadrilateral. This proves the annealed crossing-probability form of the conformal-invariance conjecture for this model.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Critical and quenched near-critical universality for Poisson–Voronoi percolation"}