112 citations · 389 across the 32 of their papers we have counts for
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A note on Schramm's locality conjecture for random-cluster models
Hugo Duminil-Copin, Vincent Tassion
In this note, we discuss a generalization of Schramm's locality conjecture to the case of random-cluster models. We give some partial (modest) answers, and present several related…
Existence of an unbounded vacant set for subcritical continuum percolation
Daniel Ahlberg, Vincent Tassion, Augusto Teixeira
We consider the Poisson Boolean percolation model in , where the radii of each ball is independently chosen according to some probability measure with finite second m…
Exponential decay of connection probabilities for subcritical Voronoi percolation in
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion
We prove that for Voronoi percolation on , there exists such that - for , there exists such that $\mathbb{P}_p[0\text{ connected to dista…
Sharp phase transition for the random-cluster and Potts models via decision trees
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion
We prove an inequality on decision trees on monotonic measures which generalizes the OSSS inequality on product spaces. As an application, we use this inequality to prove a number…