23 citations · 34 across the 5 of their papers we have counts for
5 papers
The critical manifolds of inhomogeneous bond percolation on bow-tie and checkerboard lattices
Robert M. Ziff, Christian R. Scullard, John C. Wierman +1
We give a conditional derivation of the inhomogeneous critical percolation manifold of the bow-tie lattice with five different probabilities, a problem that does not appear at firs…
Relative Density of the Random r-Factor Proximity Catch Digraph for Testing Spatial Patterns of Segregation and Association (Technical Report)
Elvan Ceyhan, Carey E. Priebe, John C. Wierman
Statistical pattern classification methods based on data-random graphs were introduced recently. In this approach, a random directed graph is constructed from the data using the re…
Equality of bond percolation critical exponents for pairs of dual lattices
Matthew R. A. Sedlock, John C. Wierman
For a certain class of two-dimensional lattices, lattice-dual pairs are shown to have the same bond percolation critical exponents. A computational proof is given for the martini l…
Self-dual planar hypergraphs and exact bond percolation thresholds
J. C. Wierman, R. M. Ziff
Recent research on percolation has led to the construction of an infinite class of lattices for which the percolation thresholds can be determined exactly. We discuss the mathemati…
Relative Density of the Random -Factor Proximity Catch Digraph for Testing Spatial Patterns of Segregation and Association
E. Ceyhan, C. E. Priebe, J. C. Wierman
Statistical pattern classification methods based on data-random graphs were introduced recently. In this approach, a random directed graph is constructed from the data using the re…