Nicholas Beaton

Exact solution of directed walk models of polymeric zipping with pulling in two and three dimensions

NR Beaton, AL Owczarek

Journal article  |  2021  |  Physica A Statistical Mechanics and its Applications

© 2020 Elsevier B.V. We provide the exact solution of several variants of simple models of the zipping transition of two bound pol..

Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents

Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen

Journal article  |  2020  |  Journal of Physics A: Mathematical and Theoretical

Exact solution of some quarter plane walks with interacting boundaries

NR Beaton, AL Owczarek, A Rechnitzer

Journal article  |  2019  |  The Electronic Journal of Combinatorics

Enumerating five families of pattern-avoiding inversion sequences; and introducing the powered Catalan numbers

NR Beaton, M Bouvel, V Guerrini, S Rinaldi

Journal article  |  2019  |  Theoretical Computer Science

Knotting statistics for polygons in lattice tubes

NR Beaton, JW Eng, CE Soteros

Journal article  |  2019  |  Journal of Physics A: Mathematical and Theoretical

LRU-2 vs 2-LRU: An Analytical Study

A Montazeri, NR Beaton, D Makaroff

Conference Proceedings  |  2019  |  2018 IEEE 43rd Conference on Local Computer Networks (LCN)

Slicings of parallelogram polyominoes: Catalan, schröder, baxter, and other sequences

NR Beaton, M Bouvel, V Guerrini, S Rinaldi

Journal article  |  2019  |  The Electronic Journal of Combinatorics

We provide a new succession rule (i.e. generating tree) associated with Schröder numbers, that interpolates between the known succ..

Characterising knotting properties of polymers in nanochannels

NR Beaton, JW Eng, K Ishihara, K Shimokawa, CE Soteros

Journal article  |  2018  |  Soft Matter

Partition function zeros of adsorbing Dyck paths

NR Beaton, EJ Janse van Rensburg

Journal article  |  2018  |  Journal of Physics A: Mathematical and Theoretical

On consecutive pattern avoiding permutations of length 4, 5 and beyond

Nicholas R Beaton, Andrew R Conway, Anthony J Guttmann

Journal article  |  2018  |  Discrete Mathematics and Theoretical Computer Science

We review and extend what is known about the generating functions for consecutive pattern-avoiding permutations of length 4, 5 and..