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- Nick Beaton
Dr Nick Beaton
Research Fellow
The University of Melbourne
My research interests are in combinatorics, and more specifically in enumerative combinatorics. These problems are often connected with other fields, so I'm also interested in statistical mechanics, complex analysis, and algorithms for counting and simulating discrete structures.
Research Interests:
Enumerative combinatorics
Polymer models
Stochastic Processes
Qualifications:
BSc (Hons) - University of Queensland
PhD - University of Melbourne
Publications
Invited talks, refereed proceedings and other conference outputs
Beaton, N. R., Eng J. W., & Soteros C. E.
(2019). Knotting statistics for polygons in lattice tubes.
The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology.
Beaton, N. R., Owczarek A. L., & Xu R.
(2019). Quarter-plane lattice paths with interacting boundaries: Kreweras and friends.
31st International Conference on Formal Power Series and Algebraic Combinatorics. Seminaire Lotharingien de Combinatoire 82B, Article #26.
Beaton, N. R.
(2018). Directed models of polymer adsorption: Partition functions and phase diagrams.
Beaton, N. R., Jensen I., Lawler G., Whittington S. G., & Guttmann A.
(2016). Polymers pulled from, and pushed towards, a wall.
STATPHYS26.
Beaton, N. R., Jensen I., Lawler G., Whittington S. G., & Guttmann A.
(2016). Polymers pulled from, and pushed towards, a wall.
IMI-La Trobe Joint Conference: Mathematics for Materials Science and Processing.
Journal Articles
Beaton, N. R., Conway A. R., & Guttmann A. J.
(2018). On consecutive pattern-avoiding permutations of length 4, 5 and beyond.
Discrete Mathematics and Theoretical Computer Science. 19(2), doi: 10.23638/DMTCS-19-2-8
Beaton, N. R., Guttmann A., Jensen I., & Lawler G. F.
(2015). Compressed self-avoiding walks, bridges and polygons.
Journal of Physics A: Mathematical and Theoretical. 48(45), 454001. doi: 10.1088/1751-8113/48/45/454001
Research links
