POLYMER NETWORKS AND INTERACTING RANDOM WALKS
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)
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)
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)
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)
"Exact Enumeration of Parallel Walks on Directed Lattices", J. W. Essam , J. Phys. A 26, L863-9 (1993)
Back to Essam's home page.