12 citations · 20 across the 2 of their papers we have counts for
4 papers
Fuchsian differential equation for the perimeter generating function of three-choice polygons
Anthony J. Guttmann, Iwan Jensen
Using a simple transfer matrix approach we have derived very long series expansions for the perimeter generating function of three-choice polygons. We find that all the terms in th…
Scaling function for self-avoiding polygons
C. Richard, I. Jensen, A. J. Guttmann
Exactly solvable models of planar polygons, weighted by perimeter and area, have deepened our understanding of the critical behaviour of polygon models in recent years. Based on th…
Vicious walkers, friendly walkers and Young tableaux III: Between two walls
Christian Krattenthaler, Anthony J. Guttmann, Xavier G. Viennot
We derive exact and asymptotic results for the number of star and watermelon configurations of vicious walkers confined to lie between two impenetrable walls, as well as for the an…
Critical exponents of plane meanders
Iwan Jensen, Anthony J Guttmann
Meanders form a set of combinatorial problems concerned with the enumeration of self-avoiding loops crossing a line through a given number of points, . Meanders are considered d…