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math.PR2004★ 3 cited
Random subgraphs of finite graphs: III. The phase transition for the -cube
Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2
We study random subgraphs of the -cube , where nearest-neighbor edges are occupied with probability . Let be the value of for which the expected clust…
math.PR2004
Random subgraphs of finite graphs: II. The lace expansion and the triangle condition
Christian Borgs, Jennifer T. Chayes, Remco van der Hofstad +2
In a previous paper, we defined a version of the percolation triangle condition that is suitable for the analysis of bond percolation on a finite connected transitive graph, and sh…