Comparison of methods to determine point-to-point resistance in nearly rectangular networks with application to a “hammock” network.

J.W. Essam, N. Sh. Izmailian, R. Kenna, and Z.-Z. Tan R. Soc.Open Sci. 2 140420 (2015), arXiv 1411.1916v1, doi:10.1098/rsos.140420.

Two-point resistance of a resistor network embedded on a globe.

J. W. Essam, Z.-Z. Tan and F.Y. Wu Phys. Rev. E 90 012130 (2014),arXiv 1404.2350

Weighted lattice paths: a seminar at Coventry University, April 23rd (2014)

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)

Resistance between two nodes in general position on an m by n fan network

J. W. Essam, Zhi-Zhong Tan and F. Y. Wu, Phys. Rev. E. 90, 032130 (2014) arXiv 1404.2828

Proof and extension of the resistance formula for an m by n cobweb network conjectured by Tan, Zhou and Yang

J. W. Essam, Zhi-Zhong Tan and F. Y. Wu, arXiv 1312.6727

Generating functions and duality for non-crossing walks on a planar graph D. K. Arrowsmith, F. M. Bhatti and J. W.Essam, J. Phys. A:Math. Theor. 45 494008 (19pp) (2012)

Simple asymmetric exclusion model and lattice paths: bijections and involutions R.Brak and J. W. Essam, J. Phys. A:Math. Theor. 45 494007 (22pp) (2012)

Bose and Fermi walk configurations on planar graphs, D. K. Arrowsmith, F. M. Bhatti and J. W.Essam, J. Phys. A:Math. Theor. 45 225003 (22pp) (2012)

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)

Maximal Fermi walk configurations on the directed square lattice and standard Young tableaux, D.K.Arrowsmith, F.M.Bhatti and J.W. Essam, J. Phys. A:Math.Theor. 43 145206 (2010)

"Series expansions for the backbone properties of two-dimensional percolation clusters", K. De'Bell, J.W. Essam and T. Lookman (in preparation).

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)

The resistance of compact percolation clusters, J.W. Essam, D. Tanlakishani and F. M. Bhatti (unpublished report).

The exact evaluation of the corner-to-corner resistance of an M x N resistor network, J.W.Essam and F.Y.Wu, J. Phys. A:Math.Theor. 42 025205 (2009), arXiv:0809.4867v3 [cond-mat.stat-mech]

A combinatorial derivation of the PASEP stationary state. , R. Brak, S. Corteel, J. W. Essam, R. Parviainen and A. Rechitzer, Electronic Journal of Combinatorics 13 #R108 1-23 (2006)

Lattice paths and the constant term , R. Brak, J. W. Essam, J. Osborn, A. L. Owczarek and A. Rechitzer, J. Phys: Conference Series 42 47-58 (2006)

Generating function rationality for anisotropic vicious walk configurations on the directed square lattice , F. M. Bhatti and J. W. Essam, J. Phys: Conference Series 42 25-34 (2006)

Fermi, Bose and vicious walk configurations on the directed square lattice , F. M. Bhatti and J. W. Essam, The Journal of Prime Research in Mathematics, 1 156-77 (2005) (ISSN 1817-2725)

Asymmetric Exclusion Model and Weighted Lattice Paths , R. Brak and J. W. Essam, Journal of Physics A: Mathematical and General, 37 4183-4217 (2004)

Three attractive osculating walkers and a polymer collapse transition, J.W. Essam. Journal of Statistical Physics, 110 1191-1207 (2003)

Bicoloured Dyck paths and the contact polynomial for n non-intersecting paths in a half plane , R. Brak and J.W. Essam Electronic Journal of Combinatorics, 10 #R35 1-18 (2003)

Return polynomials for non-intersecting paths above a surface on the directed square lattice , R. Brak and J. W.Essam, J. Phys. A:Math Gen: 34 10763-10782 (2001)

Scaling analysis for the adsorption transition in a watermelon network of n directed non-intersecting walks , A. L. Owczarek, J.W.Essam and R. Brak, J Stat Phys 102 997-1017 (2001)

Partial difference equation method for lattice path problems , R. Brak, J.W.Essam and A. L. Owczarek. Annals of Combinatorics 3 265-75 (1999)

From the Bethe ansatz to the Gessel-Viennot theorem , R. Brak, J.W.Essam and A. L. Owczarek. Annals of Combinatorics 3 251-63 (1999)

Exact solution of N directed non-intersecting walks interacting with one or two boundaries , R. Brak, J.W.Essam and A. L. Owczarek. J. Phys A: Math. Gen: 32 2921-9 (1999)

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)

New results for directed vesicles and chains near an attractive wall , R. Brak, J.W.Essam and A. L. Owczarek. J. Stat. Phys 93 155-92 (1998)

"Vicious Walkers and directed Polymer Networks in General Dimension", J. W. Essam, and A.J. Guttmann. Phys. Rev. E. 52 5849-62 (1995)

"Study of Crystalline Random Copolymers using a Potts model on the Bethe Lattice", J.W.Essam, J-C Lin and P.L. Taylor, Phys. Rev. E 52 44-52 (1995)

"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)

Exact Enumeration of Parallel Walks on Directed Lattices, J. W. Essam , J. Phys. A 26, L863-9 (1993)