112 citations · 389 across the 32 of their papers we have counts for
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math.PR2019
No exceptional words for Bernoulli percolation
Pierre Nolin, Vincent Tassion, Augusto Teixeira
Benjamini and Kesten introduced in 1995 the problem of embedding infinite binary sequences into a Bernoulli percolation configuration, known as "percolation of words". We give a po…
math.PR2019
Upper bounds on the percolation correlation length
Hugo Duminil-Copin, Gady Kozma, Vincent Tassion
We study the size of the near-critical window for Bernoulli percolation on . More precisely, we use a quantitative Grimmett-Marstrand theorem to prove that the correla…
math.PR2019
Renormalization of crossing probabilities in the planar random-cluster model
Hugo Duminil-Copin, Vincent Tassion
The study of crossing probabilities - i.e. probabilities of existence of paths crossing rectangles - has been at the heart of the theory of two-dimensional percolation since its be…