English

Convergence of Ising interfaces to Schramm's SLE curves

Mathematical Physics 2014-01-03 v2 Complex Variables math.MP Probability

Abstract

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 κ=3\kappa=3 and κ=16/3\kappa=16/3 respectively.

Keywords

Cite

@article{arxiv.1312.0533,
  title  = {Convergence of Ising interfaces to Schramm's SLE curves},
  author = {Dmitry Chelkak and Hugo Duminil-Copin and Clément Hongler and Antti Kemppainen and Stanislav Smirnov},
  journal= {arXiv preprint arXiv:1312.0533},
  year   = {2014}
}

Comments

7 pages