54 citations · 185 across the 24 of their papers we have counts for
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math.PR2018★ 21 cited
Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature
Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi
The truncated two-point function of the ferromagnetic Ising model on () in its pure phases is proven to decay exponentially fast throughout the ordered regime…
math.PR2018★ 29 cited
Existence of phase transition for percolation using the Gaussian Free Field
Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi +2
In this paper, we prove that Bernoulli percolation on bounded degree graphs with isoperimetric dimension undergoes a non-trivial phase transition (in the sense that ).…