| The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is NR Beaton, M Bousquet-Mélou, J De Gier, H Duminil-Copin, AJ Guttmann Communications in Mathematical Physics 326, 727-754, 2014 | 42 | 2014 |
| Enumerating five families of pattern-avoiding inversion sequences; and introducing the powered Catalan numbers NR Beaton, M Bouvel, V Guerrini, S Rinaldi Theoretical Computer Science 777, 69-92, 2019 | 35 | 2019 |
| Compressed self-avoiding walks, bridges and polygons NR Beaton, AJ Guttmann, I Jensen, GF Lawler Journal of Physics A: Mathematical and Theoretical 48 (45), 454001, 2015 | 28 | 2015 |
| Exact Solution of Some Quarter Plane Walks with Interacting Boundaries NR Beaton, AL Owczarek, A Rechnitzer Electronic Journal of Combinatorics 26 (3), P3.53, 2019 | 19 | 2019 |
| The critical pulling force for self-avoiding walks NR Beaton Journal of Physics A: Mathematical and Theoretical 48, 16FT03, 2015 | 19 | 2015 |
| Two-dimensional self-avoiding walks and polymer adsorption: critical fugacity estimates NR Beaton, AJ Guttmann, I Jensen Journal of Physics A: Mathematical and Theoretical 45 (5), 055208, 2012 | 18 | 2012 |
| Characterising knotting properties of polymers in nanochannels NR Beaton, JW Eng, K Ishihara, K Shimokawa, CE Soteros Soft matter 14 (28), 5775-5785, 2018 | 13 | 2018 |
| The critical fugacity for surface adsorption of SAW on the honeycomb lattice is 1 NR Beaton, J de Gier, AJ Guttmann arXiv preprint arXiv:1109.0358, 2011 | 13 | 2011 |
| Knotting statistics for polygons in lattice tubes NR Beaton, JW Eng, CE Soteros Journal of Physics A: Mathematical and Theoretical 52 (14), 144003, 2019 | 10 | 2019 |
| A numerical adaptation of self-avoiding walk identities from the honeycomb to other 2D lattices NR Beaton, AJ Guttmann, I Jensen Journal of Physics A: Mathematical and Theoretical 45 (3), 035201, 2011 | 10 | 2011 |
| Slicings of parallelogram polyominoes: Catalan, Schröder, Baxter, and other sequences NR Beaton, M Bouvel, V Guerrini, S Rinaldi The Electronic Journal of Combinatorics 26 (3), P3. 13, 2019 | 9 | 2019 |
| Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents NR Beaton, AJ Guttmann, I Jensen Journal of Physics A: Mathematical and Theoretical 53 (16), 165002, 2020 | 8 | 2020 |
| Polygons in restricted geometries subjected to infinite forces NR Beaton, JW Eng, CE Soteros Journal of Physics A: Mathematical and Theoretical 49 (42), 424002, 2016 | 8 | 2016 |
| The unusual asymptotics of three-sided prudent polygons NR Beaton, P Flajolet, AJ Guttmann Journal of Physics A: Mathematical and Theoretical 43 (34), 342001, 2010 | 7 | 2010 |
| The critical surface fugacity of self-avoiding walks on a rotated honeycomb lattice NR Beaton Journal of Physics A: Mathematical and Theoretical 47 (7), 075003, 2014 | 6 | 2014 |
| Some new self-avoiding walk and polygon models NR Beaton, P Flajolet, TM Garoni, AJ Guttmann Fundamenta Informaticae 117 (1-4), 19-33, 2012 | 6 | 2012 |
| The enumeration of prudent polygons by area and its unusual asymptotics NR Beaton, P Flajolet, AJ Guttmann Journal of Combinatorial Theory, Series A 118 (8), 2261-2290, 2011 | 6 | 2011 |
| Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models NR Beaton, AL Owczarek, R Xu Transcendence in Algebra, Combinatorics, Geometry and Number Theory: TRANS19 …, 2021 | 5 | 2021 |
| Quarter-plane lattice paths with interacting boundaries: Kreweras and friends NR Beaton, AL Owczarek, R Xu Séminaire Lotharingien de Combinatoire, 2019 | 5 | 2019 |
| Alignment percolation NR Beaton, GR Grimmett, M Holmes Mathematical Physics, Analysis and Geometry 24, 1-19, 2021 | 4 | 2021 |
Anthony (Tony) GuttmannProfessor of Mathematics, The University of MelbourneVerified email at ms.unimelb.edu.au
