54 citations · 78 across the 7 of their papers we have counts for
5 papers · 1 filter
Prudent walks and polygons
John C. Dethridge, Timothy M. Garoni, Anthony J. Guttmann +1
We have produced extended series for two-dimensional prudent polygons, based on a transfer matrix algorithm of complexity O for a series of length We have extended the…
Modeling force-induced bio-polymer unfolding
Anthony J. Guttmann, Jesper L. Jacobsen, Iwan Jensen +1
We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solve…
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…
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…
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…