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Abstract: Contents 0. Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1. The percolation model . . . . . . . . . . . . . . . . . . . . 2 1.2. The Phase Transition . . . . . . . . . . . . . . . . . . . . . 4 2. Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3. Basic results . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.1. Existence of the Phase Transition . . . . . . . .... (Update)
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BibTeX entry: (Update)
@misc{ trinity-percolation,
author = "Alan Bain Trinity",
title = "The Percolation Phase Transition",
url = "citeseer.ist.psu.edu/759874.html" }
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58 Percolation Theory for Mathematicians (context) - Kesten - 1982
23 Random Walks and Random Environments (context) - Hughes - 1996
20 Mean-field critical behaviour for percolation in high dimens.. (context) - Hara, Slade - 1990
18 Conformal Mapping (context) - Nehari - 1952
14 Mean-field behaviour and the lace expansion (context) - Hara, Slade - 1994
14 Critical percolation in finite geometries - Cardy - 1992
12 Percolation and disordered systems - Grimmett - 1996
11 Self-avoiding walk in five or more dimensions (context) - Hara, Slade - 1992
6 Kac-Moody and Virasoro Algebras (context) - Goddard, Olive - 1988
5 the universality of crossing probabilities in two-dimensiona.. (context) - Langlands, Pichet et al. - 1993
5 The lace expansion and the upper critical dimension for perc.. (context) - Slade - 1991
4 Mean-field critical behaviour for correlation length for per.. (context) - Hara - 1990
4 The diffusion of self-avoiding random walk in high dimension.. (context) - Slade - 1987
3 The triangle condition for percolation (context) - Hara, Slade - 1990
3 Spanning probability in 2D percolation (context) - Ziff - 1992
3 Spanning probability in 2D percolation (context) - Ziff - 1942
2 Scaling theory of percolation clusters (context) - Stauffer - 1979
2 the upper critical dimension of Bernoulli percolation (context) - Chayes, Chayes - 1987
2 Universality at the three-dimensional percolation threshold (context) - Stauffer - 1994
2 Tree graph inequalities and critical behaviour in percolatio.. (context) - Aizenman, Newman - 1984
2 Proof of crossing formula for 2D percolation (context) - Ziff - 1984
2 On Cardy's formula for the critical crossing probability in .. (context) - Ziff - 1995
1 the critical behaviour of the magnetisation in high dimensio.. (context) - Aizenman, Fern'andez - 1986
1 Spanning probability in 2D percolation (context) - Aharony, Hovi - 1941
1 Hyperscaling inequalities for percolation (context) - Tasaki - 1987
1 Conformal invariance in twodimensional percolation (context) - Langlands, Pouliot et al. - 1994
1 Some cluster sizes in percolation (context) - Fisher, Essan - 1961
1 To be published (context) - Grimmett - 1999
1 Conformal invariance of a model of percolation on random lat.. (context) - Saint-Aubin - 1995
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