130 citations · 2k across the 94 of their papers we have counts for
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Self-avoiding walks and trails on the 3.12 lattice
Anthony J. Guttmann, Robert Parviainen, Andrew Rechnitzer
We find the generating function of self-avoiding walks and trails on a semi-regular lattice called the lattice in terms of the generating functions of simple graphs, such…
Correction-to-scaling exponents for two-dimensional self-avoiding walks
Sergio Caracciolo, Anthony J. Guttmann, Iwan Jensen +3
We study the correction-to-scaling exponents for the two-dimensional self-avoiding walk, using a combination of series-extrapolation and Monte Carlo methods. We enumerate all self-…
Scaling prediction for self-avoiding polygons revisited
C. Richard, I. Jensen, A. J. Guttmann
We analyse new exact enumeration data for self-avoiding polygons, counted by perimeter and area on the square, triangular and hexagonal lattices. In extending earlier analyses, we…