137 citations · 633 across the 20 of their papers we have counts for
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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…
The Universal Amplitude Ratio for Two-Dimensional Percolation
Iwan Jensen, Robert M. Ziff
The amplitude ratio of the susceptibility (or second size-moment) for two-dimensional percolation is calculated by two series methods and also by Monte-Carlo simulation. The first…
General flux to a trap in one and three dimensions
Robert M. Ziff, Satya N. Majumdar, Alain Comtet
The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is sol…
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…
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)…