Convergence of Ising interfaces to Schramm's SLE curves

Antti Kemppainen; Cl\'ement Hongler; Dmitry Chelkak; Hugo Duminil-Copin; Stanislav Smirnov

arxiv: 1312.0533 · v2 · pith:LV24KXJTnew · submitted 2013-12-02 · 🧮 math-ph · math.CV· math.MP· math.PR

Convergence of Ising interfaces to Schramm's SLE curves

Dmitry Chelkak , Hugo Duminil-Copin , Cl\'ement Hongler , Antti Kemppainen , Stanislav Smirnov This is my paper

classification 🧮 math-ph math.CVmath.MPmath.PR

keywords convergencecurvesinterfacesisingkappaschrammcombinecritical

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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 curves with parameter $\kappa=3$ and $\kappa=16/3$ respectively.

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Convergence of Ising interfaces to Schramm's SLE curves

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