Conformal invariance of Voronoi percolation

Communications in Mathematical Physics

Volumn 197, Issue 1, 1998, Pages 75-107

  Benjamini, Itai ^a   Schramm, Oded ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032338824     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050443     Document Type: Article

References (16)

1. Aizenman, M.: Scaling Limit for the incipient spanning clusters. Mathematics of Materials: Perclation and Composits, K.M. Golden, G.R. Grimmett, R.D. James, G.W. Milton and P.N. Sen, eds., The IMA Volumes in Mathematics and its Applications, Springer-Verlag, to appear
2. Belavin, A.A., Polyakov, A.M. and Zamolodchokov, A.B.: Infinite conformal symmetry in two-diemnsional quantum field theory. Nucl. Phys. B 241. 333-380 (1984)
3. Ben-Or, M. and Linial, N.: Collective coin flipping. Randomness and Comutation, S. Micali, eds., New York: Academic Press, 1990, pp. 91-115
4. Benjamini, I. and Schramm, O: Percolation in the hyperbolic plane. Extented abstract, Proceeding of the Annual Conference of the Israel Mathematical Union, 1996
5. Van den Berg, J. and Kesten, H.: Inequalities with applications to percolation and reliabilty. J. Appl. Probab. 22, 556-569 (1985)
6. Cardy, J.L.: Critical percolation in finite geometries. J. Phys. A 25, L201-L206 (1992)
7. Eggleston, H.G.: Convexivity. Cambridge, Great Britain: Cambrigde University Press, 1958, pp. 141
8. Fortuin, C.M., Kasteleyn, P.W. and Ginibre, J.: Correlation inequalities on some partially ordered set. Commun. Math. Phys. 22, 89-103 (1971)
9. Grimmett, G.R.: Percolation. New York: Springer-Verlag, 1989, pp. 296
10. Kesten, H.: Percolation theory for mathematicians. Boston: Birkhäuser, 1982, p. 423
11. Langlands, R.P., Pichet, C., Pouliot, P. and Saint-Aubin, Y: On the universality of crossing pobabilities in two-dimensional percolation. J. Stat. Phys. 7, 553-574 (1992)
12. Langlands, R.P., Pichet, C., Pouliot, P. and Saint-Aubin, Y: Conformal invariance in two-dimensional percolation. Bull. Am. Math. Soc. (N.S.) 30, 1-61 (1994)
13. Møller, J.: Lectures on Random Voronoi Tesselations. Lecture Notes in Statistics, Vol 87, Berlin-Heidelberg-New York: Springer-Verlag, 1994, p. 134
14. Roy, R.: Percolation of Poisson sticks on the plane. Peopbab. Th. Rel. Fields 89, 503-517 (1991)
15. Vashidi-Asl, M.Q. and Wierman, J.C.: First-passage percolation on the Voronoi tessalation and delaunay triangulation. Random graphs '87 Poznań, 1987, Chichester: Wiley, 1990, pp. 341-359
16. Zvavitch, A.: The critical probality for Vornoi percaolation. MSc. thesis, Weizmann Institute of Science (1996)