112 citations · 389 across the 32 of their papers we have counts for
6 papers · 1 filter
Critical Percolation and the Minimal Spanning Tree in Slabs
Charles M. Newman, Vincent Tassion, Wei Wu
The minimal spanning forest on is known to consist of a single tree for and is conjectured to consist of infinitely many trees for large . In this pa…
Homogenization via sprinkling
Itai Benjamini, Vincent Tassion
We show that a superposition of an -Bernoulli bond percolation and any everywhere percolating subgraph of , , results in a connected subgraph, whi…
Continuity of the phase transition for planar random-cluster and Potts models with
Hugo Duminil-Copin, Vladas Sidoravicius, Vincent Tassion
This article studies the planar Potts model and its random-cluster representation. We show that the phase transition of the nearest-neighbor ferromagnetic -state Potts model on…
A new proof of the sharpness of the phase transition for Bernoulli percolation on
Hugo Duminil-Copin, Vincent Tassion
We provide a new proof of the sharpness of the phase transition for nearest-neighbour Bernoulli percolation. More precisely, we show that - for , the probability that the or…
A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
Hugo Duminil-Copin, Vincent Tassion
We provide a new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. The proof applies to infinite range models on arbitrary locally finit…
Quenched Voronoi percolation
Daniel Ahlberg, Simon Griffiths, Robert Morris +1
We prove that the probability of crossing a large square in quenched Voronoi percolation converges to 1/2 at criticality, confirming a conjecture of Benjamini, Kalai and Schramm fr…