A percolation formula

Electronic Communications in Probability

Volumn 6, Issue , 2001, Pages 115-120

  Schramm, Oded ^a  

^a MICROSOFT RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010699019     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v6-1041     Document Type: Article

References (12)

1. John L. Cardy. Critical percolation in finite geometries. J. Phys. A, 25(4):L201-L206, 1992.
2. John L. Cardy. Conformal Invariance and Percolation, arXiv:math-ph/0103018.
3. Arthur Erdelyi, 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.
4. Geoffrey Grimmett. Percolation. Springer-Verlag, New York, 1989.
5. Harry Kesten. Percolation theory for mathematicians. Birkhauser Boston, Mass., 1982.
6. Robert Langlands, Philippe Pouliot, and Yvan Saint-Aubin. Conformal invariance in two-dimensional percolation. Bull. Amer. Math. Soc. (N.S.), 30(1): 1-61, 1994.
7. Gregory F. Lawler, Oded Schramm, and Wendelin Werner. Values of Brownian intersection exponents I: Half-plane exponents. Acta Math., to appear. arXiv:math.PR/9911084.
8. Steffen Rohde and Oded Schramm. Basic properties of SLE, arXiv:math.PR/0106036.
9. Oded Schramm. Scaling limits of loop-erased random walks and uniform spanning trees. Israel J. Math., 118:221-288, 2000.
10. Stanislav Smirnov. Critical percolation in the plane. I. Conformal invariance and Cardy’s formula. II. Continuum scaling limit. Preprint.
11. Stanislav Smirnov. In preparation.
12. G. M. T. Watts. A crossing probability for critical percolation in two dimensions. J. Phys. A, 29(14):L363-L368, 1996.