Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses-Reference-Cited by-同舟云学术

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Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses

Published:1992-12 Issue:4 Volume:92 Page:511-527
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Th. Rel. Fields

Author:

Gandolfi A.,Keane M. S.,Newman C. M.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

https://link.springer.com/content/pdf/10.1007/BF01274266.pdf

Reference30 articles.

1. Aizenman, M., Newman, C.M., Kesten, H.: Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. Commun. Math. Phys.111, 505–531 (1987)

2. Barsky, D.J., Grimmett, G.R., Newman, C.M.: Percolation in half spaces: equality of critical densities and continuity of the percolation probability. Probab. Theory Relat. Fields90, 111–148 (1991)

3. Bollobás, B.: Random graphs. London: Academic Press 1985

4. Burton, R.M., Keane, M.: Density and uniqueness in percolation. Commun. Math. Phys.121, 501–505 (1989)

5. Campanino, M., Russo, L.: An upper bound for the critical probability for the three-dimensional cubic lattice. Ann. Probab.13, 478–491 (1985)

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