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Nicholas R. Beaton
Nicholas R. Beaton
Senior Lecturer, School of Mathematics and Statistics, University of Melbourne
Verified email at unimelb.edu.au - Homepage
Title
Cited by
Cited by
Year
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
48*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
352019
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
312015
The critical pulling force for self-avoiding walks
NR Beaton
Journal of Physics A: Mathematical and Theoretical 48, 16FT03, 2015
222015
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
182012
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
162019
Characterising knotting properties of polymers in nanochannels
NR Beaton, JW Eng, K Ishihara, K Shimokawa, CE Soteros
Soft matter 14 (28), 5775-5785, 2018
122018
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
92011
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
82020
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
82019
Knotting statistics for polygons in lattice tubes
NR Beaton, JW Eng, CE Soteros
Journal of Physics A: Mathematical and Theoretical 52 (14), 144003, 2019
82019
Adsorbing staircase polygons subject to a force
NR Beaton
Journal of Physics A: Mathematical and Theoretical 50 (49), 494001, 2017
72017
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
72010
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
62016
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
62014
Some new self-avoiding walk and polygon models
NR Beaton, P Flajolet, TM Garoni, AJ Guttmann
Fundamenta Informaticae 117 (1-4), 19-33, 2012
62012
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
62011
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
52021
Quarter-plane lattice paths with interacting boundaries: Kreweras and friends
NR Beaton, AL Owczarek, R Xu
Séminaire Lotharingien de Combinatoire, 2019
52019
Alignment percolation
NR Beaton, GR Grimmett, M Holmes
Mathematical Physics, Analysis and Geometry 24, 1-19, 2021
42021
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Articles 1–20