V. Tassion

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20112026

most citedA new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model

112 citations · 389 across the 32 of their papers we have counts for

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Showing 2014 · math.PRShow all

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math.PR2014

Crossing probabilities for Voronoi percolation

Vincent Tassion

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 co…

math.PR2014★ 5 cited

Absence of infinite cluster for critical Bernoulli percolation on slabs

Hugo Duminil-Copin, Vladas Sidoravicius, Vincent Tassion

We prove that for Bernoulli percolation on a graph $Z^{2} \times {0, \dots, k}$ ( $k \geq 0$ ), there is no infinite cluster at criticality, almost surely. The proof extends to fi…