PERCOLATION THEORY
"Directed Compact Percolation"
Analysis of mean cluster size in directed compact percolation near a damp wall, H. Lonsdale, I.Jensen,J. W.Essam and A. L. Owczarek, J. Stat. Mech.P030004(2014)
Directed compact percolation near a damp wall:mean length and mean number of wall contacts, H. Lonsdale, J. W.Essam and A. L. Owczarek, J. Phys. A:Math. Theor. 44 505003 (26pp) (2011)
Mean Length of Finite Clusters in Directed Compact Percolation Near a Damp Wall, J. W. Essam, H. Lonsdale, A. L. Owczarek, J. Stat. Phys. 145 639-46 (2011)
"Percolation theory", J.W.Essam, Rep. Prog. Phys. _U43_U, No.7, 833-912, (1980)
"Directed compact percolation: cluster size and hyperscaling", J. W. Essam, J. Phys. A 22 , 4927-37 (1989)
"Directed compact percolation II: Nodal points, Mass distribution and Scaling", J. W. Essam and D. TanlaKishani, in "Disorder in Physical Systems" ed. G. R. Grimmet and D. J. A. Welsh (Oxford University Press) (1990)
"Directed compact percolation near a wall: I Biased growth", J. W. Essam and D. TanlaKishani, J. Phys. A 27 , 3743-50 (1994)
"Directed Compact percolation near a wall II: Cluster length and size", J. W. Essam and A. J. Guttmann, J. Phys A: Math. Gen: 28, 3591-8 (1995)
"Directed Compact percolation near a wall III: Exact results for the mean length and number of contacts", R. Brak and J.W. Essam. J. Phys A: Math. Gen: 32 355-67 (1999)
On directed compact percolation near a damp wall, H. Lonsdale, R.Brak, J.W.Essam, A. L. Owczarek and A. Rechnitzer, J. Phys. A:Math.Theor. 42 125001 (2009)
Directed compact percolation near a damp wall:mean length and mean number of wall contacts, H. Lonsdale, J. W.Essam and A. L. Owczarek, J. Phys. A:Math. Theor. (2011)
Mean Length of Finite Clusters in Directed Compact Percolation Near a Damp Wall, J. W. Essam, H. Lonsdale, A. L. Owczarek, J. Stat. Phys. 145 639-46 (2011)
"The resistance of compact percolation clusters", J.W. Essam, D. Tanlakishani and F. M. Bhatti (in preparation).
Backbone properties.
"Series expansions for the backbone properties of two-dimensional percolation clusters", K. De'Bell, J.W. Essam and T. Lookman (in preparation).
Series expansion analysis of the backbone properties of two-dimensional percolation clusters , F.M. Bhatti, R. Brak, J.W.Essam, and T. Lookman. J. Phys. A: Math. Gen. 30 6215-32 (1997)
"Low density series expansions for the backbone properties of percolation clusters", F.M. Bhatti and J.W. Essam, Discrete Applied Mathematics, 19, 85-112 (1988).
"Reciprocal relations for the weight factors arising in the expansion of backbone percolation functions", R. Brak, J.W.Essam and M.F. Sykes. J. Phys. A 22, 3361-9 (1989)
"New series expansion evidence for surface and bulk resistivity and conductivity in in two-dimensional percolation", J.W.Essam , T. Lookman and K. De'Bell,.
J. Phys. A: Math. Gen. 29 L143-50 (1996)
Directed Percolation
"Directed percolation near a wall", J.W. Essam, A.J. Guttmann, I. Jensen and D. Tanlakishani,
J. Phys. A: Math. Gen. 29 1619-28 (1996)Percolation theory on directed graphs , D.K. Arrowsmith and J.W. Essam, J. Math. Phys., 18, 235-8 (1977)
Percolation and graph theory
"Restricted Colourings and Flows on Graphs and Directed Percolation", D. K. Arrowsmith and J. W. Essam, Trends in Statistical Physics, 1, 143-52 (1994) published by "Research Trends, Council of Scientific Information, India ".
Connectedness and Connectivity in percolation theory, J. W. Essam, Annals of Discrete Mathematics 33, 41-57 (1987)
Exact Critical Percolation Probabilities for Site and Bond Problems in Two Dimensions , M.F. Sykes and J.W. Essam, J.Math.Phys. 5, 1117, (1964).
"Some Exact Critical Percolation Probabilities for Bond and Site Problems in Two Dimensions", M.F. Sykes and J.W. Essam, Phys. Rev. Letters, 10, No. 1, 3, (1963)
Undirected Percolation
Percolation Processes I. Low-density Expansion for the Mean Number of clusters in a Random Mixture, J.W. Essam and M.F. Sykes, J.Math.Phys., 7, 1573-1581 (1966).
Percolation processes II. The pair connectedness, J.W. Essam, J.Math.Phys.12, 874-882 (1971).
"Critical Percolation Probabilities by Series Methods" M.F. Sykes and J.W. Essam, Phys., Rev. 33, A310, (1964)
"Graph Theory and Statistical Physics", J.W. Essam, Discrete Mathematics, 1, 83-112 (1971).
Some Cluster Size and Percolation Problems , M.E. Fisher and J.W.Essam, J.Math, Phys., 2, No. 4, 609-619 (1961).
Related papers
Percolation theory on multirooted directed graphs, D.K. Arrowsmith, J.Math. Phys., 20 101-103 (1979)
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