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20052021
most citedRevisiting the combinatorics of the 2D Ising model

45 citations · 242 across the 24 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

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.PR2013★ 10 cited

Crossing probabilities in topological rectangles for the critical planar FK-Ising model

Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler

We consider the FK-Ising model in two dimensions at criticality. We obtain bounds on crossing probabilities of arbitrary topological rectangles, uniform with respect to the boundar…