Papers

Most of my papers can be found on my arXiv page. See also my Google Scholar page.

Preprints

Nicholas R. Beaton, Jeremy W. Eng, Kai Ishihara, Koya Shimokawa and Christine E. Soteros
Characterising knotting properties of polymers in nanochannels
arXiv | Show/Hide Abstract

Nicholas R. Beaton, Mathilde Bouvel, Veronica Guerrini and Simone Rinaldi
Slicings of parallelogram polyominoes: Catalan, Schröder, Baxter, and other sequences
arXiv | Show/Hide Abstract

Publications

Nicholas R. Beaton, Andrew R. Conway and Anthony J. Guttmann
On consecutive pattern-avoiding permutations of length 4, 5 and beyond
Discrete Mathematics and Theoretical Computer Science 19 -- Special Issue for Permutation Patterns 2016 (2018), Article #8
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Nicholas R. Beaton and E.J. Janse van Rensburg
Partition function zeros of adsorbing Dyck paths
Journal of Physics A: Mathematical and Theoretical 51 (2018), 114002
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Nicholas R. Beaton
Adsorbing staircase polygons subject to a force
Journal of Physics A: Mathematical and Theoretical 50 (2017), 494001
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Nicholas R. Beaton, Jeremy W. Eng and Christine E. Soteros
Polygons in restricted geometries subjected to infinite forces
Journal of Physics A: Mathematical and Theoretical 49 (2016), 424002
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$\rightarrow$ See also the version which appeared in
Proceedings of the 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016, Vancouver, Canada), 119-130
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Nicholas R. Beaton, Anthony J. Guttmann, Iwan Jensen and Gregory F. Lawler
Compressed self-avoiding walks, bridges and polygons
Journal of Physics A: Mathematical and Theoretical 48 (2015), 454001
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Nicholas R. Beaton and Gerasim K. Iliev
Two-sided prudent walks: A solvable non-directed model of polymer adsorption
Journal of Statistical Mechanics: Theory and Experiment (2015), P09014
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Nicholas R. Beaton
The critical pulling force for self-avoiding walks
Journal of Physics A: Mathematical and Theoretical 48 (2015), 16FT03
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Axel Bacher and Nicholas R. Beaton
Weakly prudent self-avoiding bridges
Proceedings of the 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014, Chicago, USA), 827-838
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Nicholas R. Beaton, Mireille Bousquet-Mélou, Jan de Gier, Hugo Duminil-Copin and Anthony J. Guttmann
The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is $1+\sqrt{2}$
Communications in Mathematical Physics 326 (2014), 727-754
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Nicholas R. Beaton
The critical surface fugacity for self-avoiding walks on a rotated honeycomb lattice
Journal of Physics A: Mathematical and Theoretical 47 (2014), 075003+
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$\rightarrow$ See also the version which appeared in
Proceedings of the 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013, Paris, France), 665-676
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Nicholas R. Beaton, Anthony J. Guttmann and Iwan Jensen
Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates
Journal of Physics A: Mathematical and Theoretical 45 (2012), 055208+
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Nicholas R. Beaton, Anthony J. Guttmann and Iwan Jensen
A numerical adaptation of SAW identities from the honeycomb to other 2D lattices
Journal of Physics A: Mathematical and Theoretical 45 (2012), 035201+
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Nicholas R. Beaton, Philippe Flajolet, Timothy M. Garoni and Anthony J. Guttmann
Some new self-avoiding walk and polygon models
Fundamenta Informaticae 117 (2012), 19-33
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Nicholas R. Beaton, Philippe Flajolet and Anthony J. Guttmann
The enumeration of prudent polygons by area and its unusual asymptotics
Journal of Combinatorial Theory, Series A 118 (2011), 2261-2290
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Nicholas R. Beaton, Filippo Disanto, Anthony J. Guttmann and Simone Rinaldi
On the enumeration of column-convex permutominoes
Proceedings of the 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011, Reykjavik, Iceland), 111-122
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Nicholas R. Beaton, Philippe Flajolet and Anthony J. Guttmann
The unusual asymptotics of three-sided prudent polygons
Journal of Physics A: Mathematical and Theoretical 43 (2010), 342001+
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PhD Thesis

Combinatorics of Lattice Paths and Polygons
Department of Mathematics and Statistics
The University of Melbourne, 2012
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© 2017 Nicholas Beaton
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