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Preprint in the OpenAI Math release

Cardy’s formula for critical Poisson–Voronoi percolation

OpenAI

Abstract

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.

open until 1 Jan 2028

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