Aran Raoufi

activity

20162026

most citedExponential decay of connection probabilities for subcritical Voronoi percolation in

R^{d}

6 citations · 6 across the 3 of their papers we have counts for

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math.PR2017

Translation-Invariant Gibbs States of Ising model: General Setting

Aran Raoufi

We prove that at any inverse temperature $β$ and on any transitive amenable graph, the automorphism-invariant Gibbs states of the ferromagnetic Ising model are convex combinations…

math.PR2017★ 6 cited

Exponential decay of connection probabilities for subcritical Voronoi percolation in $R^{d}$

Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion

We prove that for Voronoi percolation on $R^{d}$ , there exists $p_{c} \in [0, 1]$ such that - for $p < p_{c}$ , there exists $c_{p} > 0$ such that $\mathbb{P}_p[0\text{ connected to dista…

Translation-Invariant Gibbs States of Ising model: General Setting

Exponential decay of connection probabilities for subcritical Voronoi percolation in Rd

Exponential decay of connection probabilities for subcritical Voronoi percolation in $R^{d}$