181 citations · 1.9k across the 66 of their papers we have counts for
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A new transfer-matrix algorithm for exact enumerations: Self-avoiding polygons on the square lattice
Nathan Clisby, Iwan Jensen
We present a new and more efficient implementation of transfer-matrix methods for exact enumerations of lattice objects. The new method is illustrated by an application to the enum…
Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates
Nicholas R. Beaton, Anthony J. Guttmann, Iwan Jensen
Recently Beaton, de Gier and Guttmann proved a conjecture of Batchelor and Yung that the critical fugacity of self-avoiding walks interacting with (alternate) sites on the surface…
A numerical adaptation of SAW identities from the honeycomb to other 2D lattices
Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen
Recently, Duminil-Copin and Smirnov proved a long-standing conjecture by Nienhuis that the connective constant of self-avoiding walks on the honeycomb lattice is $\sqrt{2+\sqrt{2}}…