115 citations · 1.2k across the 68 of their papers we have counts for
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math.PR2009★ 10 cited
Connection probabilities and RSW-type bounds for the FK Ising model
Hugo Duminil-Copin, Clément Hongler, Pierre Nolin
We prove Russo-Seymour-Welsh-type uniform bounds on crossing probabilities for the FK Ising model at criticality, independent of the boundary conditions. Our proof relies mainly on…
math.PR2009★ 5 cited
Bridge Decomposition of Restriction Measures
Tom Alberts, Hugo Duminil-Copin
Motivated by Kesten's bridge decomposition for two-dimensional self-avoiding walks in the upper half plane, we show that the conjectured scaling limit of the half-plane SAW, the SL…