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References

  • Cardy, John L. Critical percolation in finite geometries. J. Phys. A 25 (1992), no. 4, L201--L206. MR1151081
  • John L. Cardy. Conformal Invariance and Percolation, arXiv:math-ph/0103018.
  • Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, and Francesco~G. Tricomi. Higher transcendental functions. Vol. I. McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953. Based, in part, on notes left by Harry Bateman.
  • Grimmett, Geoffrey. Percolation. Springer-Verlag, New York, 1989. xii+296 pp. ISBN: 0-387-96843-1 MR0995460
  • Kesten, Harry. Percolation theory for mathematicians. Progress in Probability and Statistics, 2. Birkhäuser, Boston, Mass., 1982. iv+423 pp. ISBN: 3-7643-3107-0 MR0692943
  • Langlands, Robert; Pouliot, Philippe; Saint-Aubin, Yvan. Conformal invariance in two-dimensional percolation. Bull. Amer. Math. Soc. (N.S.) 30 (1994), no. 1, 1--61. MR1230963
  • Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin. Values of Brownian intersection exponents. I. Half-plane exponents. Acta Math. 187 (2001), no. 2, 237--273. MR1879850
  • Rohde, Steffen; Schramm, Oded. Basic properties of SLE. Ann. of Math. (2) 161 (2005), no. 2, 883--924. MR2153402
  • Schramm, Oded. Scaling limits of loop-erased random walks and uniform spanning trees. Israel J. Math. 118 (2000), 221--288. MR1776084
  • Stanislav Smirnov. Critical percolation in the plane. I. Conformal invariance and Cardy's formula. II. Continuum scaling limit. Preprint.
  • Stanislav Smirnov. In preparation.
  • Watts, G. M. T. A crossing probability for critical percolation in two dimensions. J. Phys. A 29 (1996), no. 14, L363--L368. MR1406907
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