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20082026
most citedMarginal triviality of the scaling limits of critical 4D Ising and models

115 citations · 1.2k across the 68 of their papers we have counts for

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Showing 2009Show all

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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…