137 citations · 789 across the 24 of their papers we have counts for
5 papers · 1 filter
The Harmonic Measure for critical Potts clusters
David A. Adams, Yen Ting Lin, Leonard M. Sander +1
We present a technique, which we call "etching," which we use to study the harmonic measure of Fortuin-Kasteleyn clusters in the Q-state Potts model for Q=1-4. The harmonic measure…
Small-World Bonds and Patchy Percolation on the Hanoi Network
S. Boettcher, J. L. Cook, R. M. Ziff
The bond-percolation properties of the Hanoi networks are analyzed with the renormalization group. Unlike scale-free networks, they are meant to provide an analytically tractable i…
Percolation thresholds on 2D Voronoi networks and Delaunay triangulations
Adam M. Becker, Robert M. Ziff
The site percolation threshold for the random Voronoi network is determined numerically for the first time, with the result p_c = 0.71410 +/- 0.00002, using Monte-Carlo simulation…
Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks
Robert M. Ziff
The growth of two-dimensional lattice bond percolation clusters through a cooperative Achlioptas-type of process, where the choice of which bond to occupy next depends upon the mas…
Universal condition for critical percolation thresholds of kagome-like lattices
Robert M. Ziff, Hang Gu
Lattices that can be represented in a kagome-like form are shown to satisfy a universal percolation criticality condition, expressed as a relation between P_3, the probability that…