## Papers

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

### Preprints

Alireza Montazeri, Nicholas R. Beaton and Dwight Makaroff
LRU-2 vs. 2-LRU: An Analytical Study
To appear in the Proceedings of the IEEE 43rd Conference on Local Computer Networks (LCN), 2018
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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, Jeremy W. Eng, Kai Ishihara, Koya Shimokawa and Christine E. Soteros
Characterising knotting properties of polymers in nanochannels
Link | PDF file and Electronic Supplementary Information | Show/Hide Abstract

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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