Convergence of Ising interfaces to Schramm's SLE curves
By Dmitry Chelkak, H. Duminil-Copin, Clément Hongler, A. Kemppainen, Stanislav Smirnov. 2013
216 citations recorded by the source corpus.
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.
Subfields: Condensed Matter Physics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/9eff70463bdd3c2ece987a200b22a32f9a9a3054
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In Condensed Matter Physics
In Mathematical Physics
In Statistics and Probability
Citations in the corpus
- Recent advances in percolation theory and its applications (2015, background): “It has been shown that the geometric spin (GS) cluster interfaces as well as FK cluster interfaces in a 2D Ising model strongly converge to the SLE3 and SLE16/3, respectively, in the scaling limit [85, 277, 278].”