112 citations · 389 across the 32 of their papers we have counts for
4 papers · 2 filters
Crossing probabilities for planar percolation
Laurin Köhler-Schindler, Vincent Tassion
We prove a general Russo-Seymour-Welsh result valid for any invariant planar percolation process satisfying positive association. This means that the probability of crossing a rect…
Long-range models in 1D revisited
Hugo Duminil-Copin, Christophe Garban, Vincent Tassion
In this short note, we revisit a number of classical result{s} on long-range 1D percolation, Ising model and Potts models [FS82, NS86, ACCN88, IN88]. More precisely, we show that f…
Noise sensitivity of percolation via differential inequalities
Vincent Tassion, Hugo Vanneuville
Consider critical Bernoulli percolation in the plane. We give a new proof of the sharp noise sensitivity theorem shown by Garban, Pete and Schramm. Contrary to the previous approac…
Planar random-cluster model: fractal properties of the critical phase
Hugo Duminil-Copin, Ioan Manolescu, Vincent Tassion
This paper is studying the critical regime of the planar random-cluster model on with cluster-weight . More precisely, we prove crossing estimates in quads…