181 citations · 1.9k across the 66 of their papers we have counts for
4 papers · 1 filter
Enumerations of plane meanders
Iwan Jensen
A closed plane meander of order n is a closed self-avoiding loop intersecting an infinite line 2n times. Meanders are considered distinct up to any smooth deformation leaving the l…
Low-density series expansions for directed percolation II: The square lattice with a wall
Iwan Jensen
A new algorithm for the derivation of low-density expansions has been used to greatly extend the series for moments of the pair-connectedness on the directed square lattice near an…
Low-density series expansions for directed percolation I: A new efficient algorithm with applications to the square lattice
Iwan Jensen
A new algorithm for the derivation of low-density series for percolation on directed lattices is introduced and applied to the square lattice bond and site problems. Numerical evid…
Self-avoiding polygons on the square lattice
Iwan Jensen, Anthony J Guttmann
We have developed an improved algorithm that allows us to enumerate the number of self-avoiding polygons on the square lattice to perimeter length 90. Analysis of the resulting ser…