38 citations · 218 across the 29 of their papers we have counts for
3 papers · 1 filter
Slicings of parallelogram polyominoes: Catalan, Schröder, Baxter, and other sequences
Nicholas R. Beaton, Mathilde Bouvel, Veronica Guerrini +1
We provide a new succession rule (i.e. generating tree) associated with Schröder numbers, that interpolates between the known succession rules for Catalan and Baxter numbers. We de…
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…
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…