38 citations · 218 across the 29 of their papers we have counts for
4 papers · 1 filter
Semi-flexible directed polymers in a strip with attractive walls
Nicholas R. Beaton, Leo Li, Jonathon Liu +1
We study a model of a semiflexible long chain polymer confined to a two-dimensional slit of width , and interacting with the walls of the slit. The interactions with the walls a…
Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents
Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen
We investigate, by series methods, the behaviour of interacting self-avoiding walks (ISAWs) on the honeycomb lattice and on the square lattice. This is the first such investigation…
Alignment percolation
Nicholas R. Beaton, Geoffrey R. Grimmett, Mark Holmes
The existence (or not) of infinite clusters is explored for two stochastic models of intersecting line segments in dimensions. Salient features of the phase diagram are e…
Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models
Nicholas R. Beaton, Aleksander L. Owczarek, Ruijie Xu
Lattice paths in the quarter plane have led to a large and varied set of results in recent years. One major project has been the classification of step sets according to the proper…