Skip to content.
Referências
-
[1]
Broadbent, S.R. e Hammersley, J.M., Percolation processes I.
Crystals and mazes, Proceedings of the Cambridge Philosofical Society
53 629-641 (1957)
-
[2]
Harris, T., A lower bound for the critical probability in a
certain percolation process, Proceedings of the Cambridge Philosofical Society
56, 13-20 (1960)
-
[3]
Kesten, H., The critical probability of bond percolation on
the square lattice equals , Communications in Mathematical
Physics 74, 41-59 (1980)
-
[4]
Menshikov, M.V., Coincidence of critical points in percolation
problems, Soviet Mathematics Doklady 33, 856-859 (1986)
-
[5]
Aizenman, M. e Barsky, D., Sharpness of the phase transition
in percolation models, Communications in Mathematical
Physics 108, 489-526 (1987)
-
[6]
Aizenman, M., Kesten, H. e Newman, C.M., Uniqueness of the
infinite cluster and continuity of connectivity functions for short- and
long-range percolation, Communications in Mathematical
Physics 111, 505-532 (1987)
-
[7]
Barsky, D., Grimmett, G. e Newman, C.M.,
Percolation in half-spaces: Equality of critical densities and continuity of
the percolation probability, Probability Theory and Related Fields
90, 111-148 (1991)
-
[8]
Grimmett, G.R., Percolation, Springer (1989)
-
[9]
Breiman, L., Probability, Addison-Wesley (1968)
-
[10]
Kesten, H., Percolation Theory for Mathematicians,
Birkhäuser (1982)
-
[11]
Kesten, H., Asymptotics in high dimensions for percolation,
Disorder in physical systems, 219–240, Oxford University Press (1990)
-
[12]
Fortuin, C.M., Kasteleyn, P.W., e Ginibre, J., Correlation
inequalities on some partially ordered sets, Communications in Mathematical
Physics 22, 89-103 (1971)
-
[13]
van den Berg, J. e Kesten, H., Inequalities with applications
to percolation and reliability, Journal of Applied Probability 22, 556-569 (1985)
-
[14]
Russo, L., On the critical percolation probabilities,
Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
56, 229-237 (1981)
-
[15]
Newman, C.M. e Schulman, L.S.,
Infinite clusters in percolation models,
Journal of Statistical Physics 26, 613–628 (1981)
-
[16]
Burton, R.M. e Keane, M., Density and uniqueness in
percolation, Communications in Mathematical Physics 121,
501-505 (1989)
-
[17]
Hara, T. e Slade, G., Mean-field critical behavior for
percolation in high dimensions, Communications in Mathematical
Physics 128, 333-391 (1990)