181 citations · 1.9k across the 66 of their papers we have counts for
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Honeycomb lattice polygons and walks as a test of series analysis techniques
Iwan Jensen
We have calculated long series expansions for self-avoiding walks and polygons on the honeycomb lattice, including series for metric properties such as mean-squared radius of gyrat…
Perimeter Generating Functions For The Mean-Squared Radius Of Gyration Of Convex Polygons
Iwan Jensen
We have derived long series expansions for the perimeter generating functions of the radius of gyration of various polygons with a convexity constraint. Using the series we numeric…
Low-density series expansions for directed percolation IV. Temporal disorder
Iwan Jensen
We introduce a model for temporally disordered directed percolation in which the probability of spreading from a vertex , where is the time and is the spatial coordi…
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…
Self-avoiding walks crossing a square
M. Bousquet-Mélou, A. J. Guttmann, I. Jensen
We study a restricted class of self-avoiding walks (SAW) which start at the origin (0, 0), end at , and are entirely contained in the square on the s…