11 citations · 29 across the 4 of their papers we have counts for
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cond-mat.stat-mech2018★ 9 cited
Knotting statistics for polygons in lattice tubes
Nicholas R. Beaton, Jeremy W. Eng, Christine E. Soteros
We study several related models of self-avoiding polygons in a tubular subgraph of the simple cubic lattice, with a particular interest in the asymptotics of the knotting statistic…
math.CO2018★ 11 cited
Characterising knotting properties of polymers in nanochannels
Nicholas R. Beaton, Jeremy W. Eng, Kai Ishihara +2
Using a lattice model of polymers in a tube, we define one way to characterise different configurations of a given knot as either "local" or "non-local" and, for several ring polym…