6 citations · 11 across the 9 of their papers we have counts for
15 papers
Locality of percolation for graphs with polynomial growth
Daniel Contreras, Sébastien Martineau, Vincent Tassion
Schramm's Locality Conjecture asserts that the value of the critical percolation parameter of a graph satisfying depends only on its local structure. In this note, we…
Long-range order for critical Book-Ising and Book-percolation
Hugo Duminil-Copin, Christophe Garban, Vincent Tassion
In this paper, we investigate the behaviour of statistical physics models on a book with pages that are isomorphic to half-planes. We show that even for models undergoing a continu…
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…
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…
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…
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…