70 citations · 239 across the 8 of their papers we have counts for
8 papers
Comparison of methods to determine point-to-point resistance in nearly rectangular networks with application to a hammock network
John W. Essam, Nikolay Sh. Izmailyan, Ralph Kenna +1
Considerable progress has recently been made in the development of techniques to exactly determine two-point resistances in networks of various topologies. In particular, two types…
Resistance between two nodes in general position on an fan network
J. W. Essam, Zhi-Zhong Tan, F. Y. Wu
The resistance between two nodes in general position on a fan network with n radial lines and m transverse lines is determined. Also a similar result of Izmailian, Kenna and Wu [7]…
The two-point resistance of a cobweb with a superconducting boundary
Zhi-Zhong Tan, J. W. Essam, F. Y. Wu
We consider the problem of two-point resistance on an m x n cobweb network with a superconducting boundary, which is topologically equivalent to a geographic globe. We deduce a con…
Analysis of mean cluster size in directed compact percolation near a damp wall
H Lonsdale, I Jensen, J W Essam +1
We investigate the behaviour of the mean size of directed compact percolation clusters near a damp wall in the low-density region, where sites in the bulk are wet (occupied) with p…
Proof and extension of the resistance formula for an m x n cobweb network conjectured by Tan, Zhou and Yang
J. W. Essam, Zhi-Zhong Tan, F. Y. Wu
An m x n cobweb network consists of n radial lines emanating from a center and connected by concentric n-sided polygons. A conjecture of Tan, Zhou and Yang for the resistance f…
Asymmetric Exclusion Model and Weighted Lattice Paths
R. Brak, J. Essam
We show that the known matrix representations of the stationary state algebra of the Asymmetric Simple Exclusion Process (ASEP) can be interpreted combinatorially as various weight…