Nicholas Beaton

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

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)

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..

Adsorbing staircase polygons subject to a force

Nicholas R Beaton

Journal article  |  2017  |  Journal of Physics A: Mathematical and Theoretical

Polygons in restricted geometries subjected to infinite forces

NR Beaton, JW Eng, CE Soteros

Journal article  |  2016  |  Journal of Physics A: Mathematical and Theoretical

Compressed self-avoiding walks, bridges and polygons

Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen, Gregory F Lawler

Journal article  |  2015  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Two-sided prudent walks: a solvable non-directed model of polymer adsorption

Nicholas R Beaton, Gerasim K Iliev

Journal article  |  2015  |  Journal of Statistical Mechanics: Theory and Experiment

The critical pulling force for self-avoiding walks

Nicholas R Beaton

Journal article  |  2015  |  Journal of Physics A: Mathematical and Theoretical

The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is

Nicholas R Beaton, Mireille Bousquet-Melou, Jan de Gier, Hugo Duminil-Copin, Anthony J Guttmann

Journal article  |  2014  |  Communications in Mathematical Physics

The critical surface fugacity of self-avoiding walks on a rotated honeycomb lattice

Nicholas R Beaton

Journal article  |  2014  |  Journal of Physics A: Mathematical and Theoretical

The critical surface fugacity for self-avoiding walks on a rotated honeycomb lattice

NR Beaton

Conference Proceedings  |  2013  |  Discrete Mathematics and Theoretical Computer Science

Two-dimensional self-avoiding walks and polymer adsorption: critical fugacity estimates

Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen

Journal article  |  2012  |  Journal of Physics A - Mathematical and Theoretical

A numerical adaptation of self-avoiding walk identities from the honeycomb to other 2D lattices

Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen

Journal article  |  2012  |  Journal of Physics A - Mathematical and Theoretical

Some New Self-avoiding Walk and Polygon Models

Nicholas R Beaton, Philippe Flajolet, Timothy M Garoni, Anthony J Guttmann

Journal article  |  2012  |  Fundamenta Informaticae

On the enumeration of column-convex permutominoes

NR Beaton, F Disanto, AJ Guttmann, S Rinaldi

Conference Proceedings  |  2011  |  DMTCS proceedings 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)

The enumeration of prudent polygons by area and its unusual asymptotics

Nicholas R Beaton, Philippe Flajolet, Anthony J Guttmann

Journal article  |  2011  |  Journal of Combinatorial Theory Series A

The unusual asymptotics of three-sided prudent polygons

Nicholas R Beaton, Philippe Flajolet, Anthony J Guttmann

Journal article  |  2010  |  Journal of Physics A - Mathematical and Theoretical