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research article
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions
We prove that crossing probabilities for the critical planar Ising model with free boundary conditions are conformally invariant in the scaling limit, a phenomenon first investigated numerically by Langlands, Lewis and Saint-Aubin (J. Stat. Phys. 98 (2000) 131-244). We do so by establishing the convergence of certain exploration processes towards SLE(3, -3/2, -3/2). We also construct an exploration tree for free boundary conditions, analogous to the one introduced by Sheffield (Duke Math. J. 147 (2009) 79-129).
Type
research article
Web of Science ID
WOS:000389171800011
Authors
Publication date
2016
Publisher
Volume
52
Issue
4
Start page
1784
End page
1798
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
January 24, 2017
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