On the effect of adding ∈-Bernoulli percolation to everywhere percolating subgraphs of ℤd

Journal of Mathematical Physics

Volumn 41, Issue 3, 2000, Pages 1294-1297

  Benjamini, Itai ^a,b,c   Häggström, Olle ^a,b,c   Schramm, Oded ^a,b,c  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^c MICROSOFT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034345428     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533187     Document Type: Article

References (7)

1. G. R. Grimmett, Percolation (Springer, New York, 1989).
2. R. Lyons and O. Schramm, "Indistinguishability of percolation clusters," Ann. Probab. (to be published).
3. C. M. Newman and L. S. Schulman, "Infinite clusters in percolation models," J. Stat. Phys. 26, 613-628 (1982).
4. R. M. Burton and M. S. Keane, "Density and uniqueness in percolation," Commun. Math. Phys. 121, 501-505 (1989).
5. O. Häggström, "Uniqueness of the infinite entangled component in three-dimensional bond percolation" (preprint, 1999).
6. T. Liggett, R. Schonmann, and A. Stacey, "Domination by product measures," Ann. Prob. 25, 71-95 (1997).
7. H. Kesten, Percolation Theory for Mathematicians (Birkhäuser, Boston, 1982).