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We study scaling limits and conformal invariance of critical site percolation on triangular lattice.
Two-dimensional Brownian motion and harmonic functions
Shizuo Kakutani · 1944
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The critical probability of bond percolation on the square lattice equals 1 2 {1\over 2}
Harry Kesten · 1980
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Percolation Theory for Mathematicians
Harry Kesten · 1982
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Critical percolation in finite geometries
John L. Cardy · 1992
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Conformal invariance in two-dimensional percolation
Robert Langlands, Philippe Pouliot, and Yvan Saint-Aubin · 1994
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The geometry of critical percolation and conformal invariance
Michael Aizenman · 1996
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Scaling limit for the incipient spanning clusters
Michael Aizenman · 1998
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Random walks, polymers, percolation, and quantum gravity in two dimensions
Bertrand Duplantier · 1998
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Hölder regularity and dimension bounds for random curves
Michael Aizenman and Almut Burchard · 1999
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Connectivity exponents and the external perimeter in 2D independent percolation
Michael Aizenman, Bertrand Duplantier, and Amnon Aharony · 1999
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Harmonic measure exponents for two-dimensional percolation
Bertrand Duplantier · 1999
Cited alongside, same era.
Values of Brownian intersection exponents I: Half-plane exponents
Gregory F. Lawler, Oded Schramm, and Wendelin Werner
Cited in the paper.
Percolation
Geoffrey Grimmett · 1999
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Universality for conformally invariant intersection exponents
Gregory F. Lawler and Wendelin Werner · 2000
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Scaling limits of loop-erased random walks and uniform spanning trees
Oded Schramm · 2000
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Critical exponents, conformal invariance and planar Brownian motion, 2000
Wendelin Werner · 2000
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The Dimension of the Planar Brownian Frontier is 4/3
Gregory F. Lawler, Oded Schramm, and Wendelin Werner · 2001
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Values of Brownian intersection exponents II: Plane exponents
Gregory F. Lawler, Oded Schramm, and Wendelin Werner
Cited in the paper.
Values of Brownian intersection exponents III: Two-sided exponents
Gregory F. Lawler, Oded Schramm, and Wendelin Werner
Cited in the paper.