115 citations · 1.2k across the 68 of their papers we have counts for
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math-ph2013★ 14 cited
Convergence of Ising interfaces to Schramm's SLE curves
Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler +2
We show how to combine our earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm's SLE…
math-ph2013★ 112 cited
Random Currents and Continuity of Ising Model's Spontaneous Magnetization
Michael Aizenman, Hugo Duminil-Copin, Vladas Sidoravicius
The spontaneous magnetization is proved to vanish continuously at the critical temperature for a class of ferromagnetic Ising spin systems which includes the nearest neighbor ferro…