Convergence of Ising interfaces to Schramm's SLE curves

A. A. Belavin, A. M. Polyakov, A. B. Zamolodchikov, Infinite conformal symmetry of critical fluctuations in two dimensions , J. Statist. Phys. 34

1984

Earlier work this paper cites.

Ch. Pommerenke, Boundary behaviour of conformal maps , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 299, Springer-Verlag, Berlin, 1992

1992

Earlier work this paper cites.

M. Aizenman, A. Burchard, Hölder regularity and dimension bounds for random curves , Duke Math. J. 99

1999

Earlier work this paper cites.

O. Schramm, Scaling limits of loop-erased random walks and uniform spanning trees , Israel J. Math. 118

2000

Earlier work this paper cites.

G. F. Lawler, O. Schramm, W. Werner, Conformal invariance of planar loop-erased random walks and uniform spanning trees , Ann. Probab. 32

2004

Earlier work this paper cites.

G. F. Lawler, Conformally invariant processes in the plane , Mathematical Surveys and Monographs, vol. 114, American Mathematical Society, Providence, RI, 2005

2005

Earlier work this paper cites.

S. Smirnov, Towards conformal invariance of 2D lattice models , International Congress of Mathematicians. Vol. II, Eur. Math. Soc., Zürich, 2006, pp. 1421–1451

2006

Cited alongside, same era.

C. Hongler, Conformal invariance of Ising model correlations , PhD thesis (2010)

2010

Cited alongside, same era.

S. Smirnov, Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model , Ann. of Math. (2) 172

Original

2010

Cited alongside, same era.

H. Duminil-Copin, C. Hongler, P. Nolin, Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model , Comm. Pure Appl. Math. 64

2011

Cited alongside, same era.

D. Chelkak, Robust discrete complex analysis: a toolbox , Arxiv preprint arXiv:1212.6205 [math.PR] (2012)

Original

2012

D. Chelkak, C. Hongler, K. Izyurov, Conformal invariance of spin correlations in the planar Ising model , Arxiv preprint arXiv:1202.2838 [math-ph] (2012)

Original

2012

Later among the works it cites.

H. Duminil-Copin, S. Smirnov, Conformal invariance of lattice models , Probability and statistical physics in two and more dimensions, Clay Math. Proc., vol. 15, Amer. Math. Soc., Providence, RI, 2012, pp. 213–276

2012

Later among the works it cites.

A. Kemppainen, S. Smirnov, Random curves, scaling limits and Loewner evolutions , Arxiv preprint arXiv:1212.6215 [math-ph] (2012)

Original

2012

Later among the works it cites.

D. Chelkak, K. Izyurov, Holomorphic spinor observables in the critical Ising model , Comm. Math. Phys. 322

2013

Closest in time.

D. Chelkak, H. Duminil-Copin, Clément Hongler, Crossing probabilities in topological rectangles for the critical planar FK Ising model , Arxiv preprint arXiv:1312.7785 [math.PR] (2013)