Crossing probabilities for Voronoi percolation

By Vincent Tassion. 2014

92 citations recorded by the source corpus.

We prove that the standard Russo-Seymour-Welsh theory is valid for Voronoi percolation. This implies that at criticality the crossing probabilities for rectangles are bounded by constants depending only on their aspect ratio. This result has many consequences, such as the polynomial decay of the one-arm event at criticality.

Subfields: Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/a9c9d806b38c0d40b2d13cbaeeb2d3a7c53aa9ed

Citations in the corpus

• Percolation of random nodal lines (2016, unknown): “Tassion’s theorem 2.1.”