N. Beaton, A. Owczarek. Exact solution of directed walk models of polymeric zipping with pulling in two and three dimensions. Physica A: Statistical Mechanics and its Applications, 566, 125635 (16pp), 2021. doi: 10.1016/j.physa.2020.125635.
N. Beaton, G. GRIMMETT, M. Holmes. Alignment Percolation. Mathematical Physics, Analysis and Geometry, 24, 3 (19pp), 2021. doi: 10.1007/s11040-021-09373-7.
N. Beaton, A. Guttmann, I. Jensen. Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents. Journal of Physics A: Mathematical and Theoretical, 53, 165002 (20pp), 2020. doi: 10.1088/1751-8121/ab7ad1.
N. Beaton, A. Owczarek. Exact solutions of directed walk models of polymeric zipping with pulling in two and three dimensions. 2020.
N. Beaton, M Bouvel, V Guerrini, S Rinaldi. Enumerating five families of pattern-avoiding inversion sequences; and introducing the powered Catalan numbers. Theoretical Computer Science, 69-92, 2019. doi: 10.1016/j.tcs.2019.02.003.
N. Beaton, JW Eng, CE Soteros. Knotting statistics for polygons in lattice tubes. Journal of Physics A: Mathematical and Theoretical, 52, 144003 (25pp), 2019. doi: 10.1088/1751-8121/ab0981.
A Montazeri, N. Beaton, D Makaroff. LRU-2 vs 2-LRU: An Analytical Study. Proceedings - Conference on Local Computer Networks, LCN, 2018-October, 571-579, 2019. doi: 10.1109/LCN.2018.8638120.
N. Beaton, A. Owczarek, R. Xu. Quarter-plane lattice paths with interacting boundaries: Kreweras and friends. FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics, 2019.
N. Beaton, M Bouvel, V Guerrini, S Rinaldi. Slicings of parallelogram polyominoes: Catalan, schröder, baxter, and other sequences. The Electronic Journal of Combinatorics, 26, 2019. doi: 10.37236/7375.
N. Beaton, A. Owczarek, A Rechnitzer. Exact solution of some quarter plane walks with interacting boundaries. The Electronic Journal of Combinatorics, 26, 2019. doi: 10.37236/8024.
N. Beaton, A. Guttmann, I. Jensen. Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents. 2019.
N. Beaton, G. GRIMMETT, M. Holmes. Alignment percolation. 2019.
N. Beaton, A. Owczarek, R. Xu. Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models. 2019.
N. Beaton, EJ Janse van Rensburg. Partition function zeros of adsorbing Dyck paths. Journal of Physics A: Mathematical and Theoretical, 51, 114002 (15pp), 2018. doi: 10.1088/1751-8121/aaabcf.
N. Beaton, A. Guttmann, AR Conway. On consecutive pattern-avoiding permutations of length 4, 5 and beyond. Discrete Mathematics and Theoretical Computer Science, 19, 2018.
N. Beaton, JW Eng, K Ishihara, K Shimokawa, CE Soteros. Characterising knotting properties of polymers in nanochannels.. Soft matter, 5775-5785, 2018. doi: 10.1039/c8sm00734a.
N. Beaton, A. Owczarek, Andrew Rechnitzer. Exact solution of some quarter plane walks with interacting boundaries. 2018.
N. Beaton, Mathilde Bouvel, Veronica Guerrini, Simone Rinaldi. Enumerating five families of pattern-avoiding inversion sequences; and introducing the powered Catalan numbers. 2018.
N. Beaton. Adsorbing staircase polygons subject to a force. Journal of Physics A: Mathematical and Theoretical, 50, 494001, 2017. doi: 10.1088/1751-8121/aa922f.
N. Beaton, JW Eng, CE Soteros. Polygons in restricted geometries subjected to infinite forces. Journal of Physics A: Mathematical and Theoretical, 49, 424002, 2016. doi: 10.1088/1751-8113/49/42/424002.
N. Beaton, J Eng, CE Soteros. Asymptotics of polygons in restricted geometries subject to a force. Discrete Mathematics and Theoretical Computer Science, 119-130, 2016.
N. Beaton, A. Guttmann, I. Jensen, Gregory F Lawler. Compressed self-avoiding walks, bridges and polygons. Journal of Physics A: Mathematical and Theoretical, 48, 454001 (27pp), 2015. doi: 10.1088/1751-8113/48/45/454001.
N. Beaton. The critical pulling force for self-avoiding walks. Journal of Physics A: Mathematical and Theoretical, 48, 16FT03, 2015. doi: 10.1088/1751-8113/48/16/16FT03.
N. Beaton, G. Iliev. Two-sided prudent walks: a solvable non-directed model of polymer adsorption. Journal of Statistical Mechanics: Theory and Experiment, 2015, P09014, 2015. doi: 10.1088/1742-5468/2015/09/P09014.
N. Beaton, Mathilde Bouvel, Veronica Guerrini, Simone Rinaldi. Slicings of parallelogram polyominoes: Catalan, Schröder, Baxter, and other sequences. 2015.
N. Beaton, A. Guttmann, I. Jensen, Gregory F Lawler. Compressed self-avoiding walks, bridges and polygons. 2015.
N. Beaton, M Bousquet-Mélou, J. de Gier, H Duminil-Copin, A. Guttmann. The critical fugacity for surface adsorption of SAW on the honeycomb lattice is 1+sqrt(2). Communications in Mathematical Physics, 326, 727-754, 2014. doi: 10.1007/s00220-014-1896-1.
N. Beaton. The critical surface fugacity of self-avoiding walks on a rotated honeycomb lattice. Journal of Physics A: Mathematical and Theoretical, 47, 075003, 2014. doi: 10.1088/1751-8113/47/7/075003.
A Bacher, N. Beaton. Weakly prudent self-avoiding bridges. Discrete Mathematics and Theoretical Computer Science, 827-838, 2014.
N. Beaton. The critical surface fugacity for self-avoiding walks on a rotated honeycomb lattice. Discrete Mathematics and Theoretical Computer Science, 635-646, 2013.
N. Beaton, A. Guttmann, I. Jensen. Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates. Journal of Physics A - Mathematical and Theoretical, 45, 055208 (12pp), 2012. doi: 10.1088/1751-8113/45/5/055208.
N. Beaton, A. Guttmann, I. Jensen. A numerical adaptation of self-avoiding walk identities from the honeycomb to other 2D lattices. Journal of Physics A - Mathematical and Theoretical, 45, 035201 (18pp), 2012. doi: 10.1088/1751-8113/45/3/035201.
N. Beaton, P Flajolet, T. Garoni, A. Guttmann. Some new self-avoiding walk and polygon models. Fundamenta Informaticae, 117, 19-33, 2012. doi: 10.3233/FI-2012-686.
N. Beaton, P Flajolet, A. Guttmann. The Enumeration of Prudent Polygons by Area and its Unusual Asymptotics. Journal of Combinatorial Theory Series A, 118, 2261-2290, 2011. doi: 10.1016/j.jcta.2011.05.004.
N. Beaton, F Disanto, A. Guttmann, S Rinaldi. On the enumeration of column-convex permutiminoes. DMTCS proceedings 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), AO, 111-122, 2011.
N. Beaton, A. Guttmann, I. Jensen. A numerical adaptation of SAW identities from the honeycomb to other 2D lattices. 2011.
N. Beaton, A. Guttmann, I. Jensen. Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates. 2011.
N. Beaton, P Flajolet, A. Guttmann. The unusual asymptotics of 3-sided prudent polygons. Journal of Physics A - Mathematical and Theoretical, 43, 342001 (10pp), 2010. doi: 10.1088/1751-8113/43/34/342001.
N. Beaton, Philippe Flajolet, A. Guttmann. The Enumeration of Prudent Polygons by Area and its Unusual Asymptotics. 2010.