137 citations · 1.1k across the 42 of their papers we have counts for
Showing 2006 · cond-mat.dis-nnShow all
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cond-mat.dis-nn2006★ 64 cited
Exact bond percolation thresholds in two dimensions
Robert M. Ziff, Christian R. Scullard
Recent work in percolation has led to exact solutions for the site and bond critical thresholds of many new lattices. Here we show how these results can be extended to other classe…
cond-mat.dis-nn2006★ 23 cited
Anchored Critical Percolation Clusters and 2-D Electrostatics
P. Kleban, J. J. H. Simmons, R. M. Ziff
We consider the densities of clusters, at the percolation point of a two-dimensional system, which are anchored in various ways to an edge. These quantities are calculated by use o…
cond-mat.dis-nn2006★ 34 cited
Predictions of bond percolation thresholds for the kagomé and Archimedean lattices
Christian R. Scullard, Robert M. Ziff
Here we show how the recent exact determination of the bond percolation threshold for the martini lattice can be used to provide approximations to the unsolved kagomé and (3,12^2)…