38 citations · 218 across the 29 of their papers we have counts for
Showing 2015 · math-phShow all
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math-ph2015★ 6 cited
A solvable non-directed model of polymer adsorption
Nicholas R. Beaton, Gerasim K. Iliev
Prudent walks are self-avoiding walks which cannot step towards an already occupied vertex. We introduce a new model of adsorbing prudent walks on the square lattice, which start o…
math-ph2015★ 24 cited
Compressed self-avoiding walks, bridges and polygons
Nicholas R. Beaton, Anthony J. Guttmann, Iwan Jensen +1
We study various self-avoiding walks (SAWs) which are constrained to lie in the upper half-plane and are subjected to a compressive force. This force is applied to the vertex or ve…