38 citations · 218 across the 29 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math-ph2017
Partition function zeros of adsorbing Dyck paths
NR Beaton, EJ Janse van Rensburg
The zeros of the size- partition functions for a statistical mechanical model can be used to help understand the critical behaviour of the model as . Here we use wei…
math-ph2017★ 5 cited
Adsorbing staircase polygons subject to a force
Nicholas R. Beaton
We study several models of staircase polygons on the rotated square lattice, which interact with an impenetrable surface while also being pushed towards or pulled away f…
math.CO2017★ 2 cited
On consecutive pattern-avoiding permutations of length 4, 5 and beyond
Nicholas R Beaton, Andrew R Conway, Anthony J Guttmann
We review and extend what is known about the generating functions for consecutive pattern-avoiding permutations of length 4, 5 and beyond, and their asymptotic behaviour. There are…