Critical and quenched near-critical universality for Poisson–Voronoi percolation
What the paper claims, in its own words
Proves Cardy's formula for annealed critical Poisson–Voronoi crossing probabilities in every bounded Jordan quadrilateral. With each model normalized by its own expected unit-square pivotal count, the conditional joint near-critical crossing-threshold laws for rational polygonal quads converge in environment probability to the triangular-lattice reference law. This establishes quenched near-critical universality for crossing thresholds.
The plain-language explainer for this entry is still coming.
The original papers (3)
- From critical crossings to quenched near-critical universality in Voronoi percolation (PDF, opens in a new tab) October 5, 2026
- A Pivotal Amplitude for Voronoi Percolation from Cardy's Formula (PDF, opens in a new tab) October 5, 2026
- Cardy’s formula for critical Poisson–Voronoi percolation (PDF, opens in a new tab) September 23, 2026