Papers

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

Preprints

Nicholas R. Beaton, Mathilde Bouvel, Veronica Guerrini and Simone Rinaldi
Enumerating five families of pattern-avoiding inversion sequences; and introducing the powered Catalan numbers
arXiv | Show/Hide Abstract

Nicholas R. Beaton, Aleksander L. Owczarek and Andrew Rechnitzer
Exact solution of some quarter plane walks with interacting boundaries
arXiv | Show/Hide Abstract

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
PDF file | Show/Hide Abstract | Copyright Notice

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
Soft Matter 14 (2018), 5775-5785
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
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

Nicholas R. Beaton
Adsorbing staircase polygons subject to a force
Journal of Physics A: Mathematical and Theoretical 50 (2017), 494001
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

$\rightarrow$ 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
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

Nicholas R. Beaton
The critical pulling force for self-avoiding walks
Journal of Physics A: Mathematical and Theoretical 48 (2015), 16FT03
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

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+
Link | PDF file | Show/Hide Abstract

$\rightarrow$ 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
Link | PDF file | Show/Hide Abstract

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+
Link | PDF file | Show/Hide Abstract

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+
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

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
Link | PDF file | Show/Hide Abstract

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+
Link | PDF file | Show/Hide Abstract

PhD Thesis

Combinatorics of Lattice Paths and Polygons
Department of Mathematics and Statistics
The University of Melbourne, 2012
Link | PDF file | Show/Hide Abstract

© 2017 Nicholas Beaton
Template design by Andreas Viklund