Publications 2010-2019

Publications are arranged in chronological order. Publications other than research articles, published in international journals, are encoded with a letter indicating the type of publication.

Key to types:

No symbol – regular scientific articles in refereed journals
A – Published conference presentation
B – Books and contributions to books
C – Tutorial level articles
D – Miscellaneous publications

2010

247. Feretic S and Guttmann A J, Polyominoes with nearly convex columns: An undirected model Glasnik Matematicki. 45 (2): 325-346

248. Nickel B, Jensen I, Boukraa S, Guttmann A J, Hassani S, Maillard J-M, and Zennie N, Square lattice ising model chi^(5) ODE in exact arithmetic Journal of Physics A – Math Theor. 43 (19): 195205

249. Guttmann A J, Self-Avoiding walks as a canonical model of phase transitions Chapter 5 in In celebration of K C Hines. Singapore: World Scientific Publishing Co, pp.229

250. Mangazeev B and Guttmann A J, Form factor expansions in the 2D Ising model and Painlevé VI Nuclear Physics B. 838 (3): 391-412

251. Guttmann A J, Lattice Green functions in all dimensions Journal of Physics A – Mathematical and Theoretical. 43 (30): 305205 (26pp)

252. Beaton N, Flajolet P and Guttmann A J, The unusual asymptotics of 3-sided prudent polygons Journal of Physics A – Mathematical and Theoretical. 43 (34): 342001

2011

253. Chan Y-b, Guttmann A J, Nickel B G and Perk J H H, The Ising Susceptibility Scaling Function arXiv:1012.5272, J. Stat. Phys. 145 (3) 549-90

254. Beaton, N R, Flajolet P and Guttmann A J, The Enumeration of Prudent Polygons by Area and Unusual Asymptotics Journal of Combinatorial Theory Series A. 118 (8) 2261-2290

255. Guttmann A J Introduction to Special Issue of J Stat Phys celebrating Cyril Domb’s 90th birthday arXiv:1012.5272, J. Stat. Phys. 145 (3) 508-509

256. Beaton, N R, Disanto, P, Guttmann, A J and Rinaldi, S. On the enumeration of column-convex permutominoes, Discrete Mathematics and Theoretical Computer Science, Proceedings of the 23rd FPSAC Conference, pp. 111-122 (2011).

2012

257. Beaton, N R, Flajolet P Garoni T and Guttmann A J, Some new self-avoiding walk and polygon models Fundamenta Informaticae 117, pp. 19–33

258. Beaton N R, Guttmann A J and Jensen I, Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates Journal of Physics A: Mathematical and Theoretical 45 (5), 055208

259. Beaton N. R, Guttmann A J and Jensen I, A numerical adaptation of SAW identities from the honeycomb to other 2D lattices arXiv:1110.1141, J. Phys. A: Math. and Theor., 45, 035201 (18pp) (2012).

260. Bousquet-Mélou M and A J Guttmann A J, Self-avoiding walks, Emissary, MSRI, 7-9

261. Elvey-Price A, De Gier J, Guttmann A J, Lee A, Off-critical parafermions and the winding angle distribution of the O(n) model, Journal of Physics A: Mathematical and Theoretical 45 (27), 275002

262. Guttmann, A J., Self-avoiding walks and polygons – an overview, Asia Pacific Mathematics Newsletter, 2, pp. 1-10

263. Guttmann, A J and Rogers,M D, Spanning tree generating functions and Mahler measures, Journal of Physics A: Mathematical and Theoretical 45 (49), 494001

264. Guttmann A J, Jacobsen J L, Lattice models and integrability: a special issue in honour of FY Wu, Journal of Physics A: Mathematical and Theoretical 45 (49), 490301

2013

265. Guttmann, A J. and Rogers, M D, An integral arising from the chiral sl(n) Potts model, J. Phys. A: Math. and Theor., 46, 045202, 5pp

266. Guttmann A J, Jacobsen J L, A series test of the scaling limit of self-avoiding walks, Journal of Physics A: Mathematical and Theoretical 46 (43), 435004. This article has been selected as one of the best articles published in J.Phys A in 2013 by the IOP.

2014

267. Guttmann A J, Kennedy T, Self-avoiding walks in a rectangle, Journal of Engineering Mathematics 84 (1), 201-208

268. Beaton N R, Bousquet-Mélou M, de Gier J, Duminil-Copin H, Guttmann A J, The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is 1+sqrt(2), Communications in Mathematical Physics 326 (3), 727-754

269. Guttmann A J, Jensen I, Whittington S G, Pulling adsorbed self-avoiding walks from a surface, Journal of Physics A: Mathematical and Theoretical 47 (1), 015004

2015

270. Guttmann A. J, Analysis of series expansions for non-algebraic singularities, Journal of Physics A:Mathematical and Theoretical. 48 045209 (33pp)

271. Conway A R and Guttmann A J, On 1324-avoiding permutations, Adv. in Applied Math., 64, 50-69.

272. Beaton N R, Guttmann A J, Jensen I and Lawler G F, Compressed self-avoiding walks, bridges and polygons J. Phys A: Math. and Theor., 48, 454001 (29pp).

273. Guttmann A J and Maillard J-M, Automata and the susceptibility of the square lattice Ising model modulo powers of primes, J. Phys A: Math. and Theor., 48, 454001 (29pp).

2016

274. Clisby N, Conway A R, Guttmann A J, Three-dimensional terminally attached self-avoiding walks and bridges, Journal of Physics A: Mathematical and Theoretical 49 (1), 015004

275. Guttmann A J, Series extension: predicting approximate series coefficients from a finite number of exact coefficients, Journal of Physics A: Mathematical and Theoretical 49 (41), 415002

276. Jacobsen J L, Scullard C R, Guttmann A J, On the growth constant for square-lattice self-avoiding walks, Journal of Physics A: Mathematical and Theoretical 49 (49), 494004

277. Guttmann A J, Jensen I, Maillard J-M, Pantone J,Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?, Journal of Physics A: Mathematical and Theoretical 49 (50), 504002

2017

278. Elvey-Price A, Guttmann A J, Permutations sortable by deques and by two stacks in parallel, European Journal of Combinatorics 59, 71-95

279. Elvey-Price A, Guttmann A J, Permutations sortable by two stacks in series, Advances in Applied Mathematics 83, 81-96

2018

280. Guttmann A J, van Rensburg E J J, Jensen I, Whittington S G, Polygons pulled from an adsorbing surface, Journal of Physics A: Mathematical and Theoretical 51 (7), 074001

281. Conway AR, Guttmann AJ, Zinn-Justin P, 1324-avoiding permutations revisited, Advances in Applied Mathematics 96, 312-333

282. Elvey-Price A, Guttmann A J, Counting planar Eulerian orientations, European Journal of Combinatorics 71, 73-98

283. Beaton N R, Conway A R and Guttmann A J, On consecutive pattern-avoiding permutations of length 4, 5 and beyond, Disc. Math. and Theor. Comp. Sci. 19 (2) #8

2019

284. Elvey Price A and Guttmann A J, Numerical studies of Thompson’s group F and related groups, Int. J. Alg. and Comp. 29 (2) 179-243

285. Govindarajan S, Guttmann A J and Subramanyan V, On a square-ice analogue of plane partitions, arXiv:1607.01890 and Ann. Inst. Henri Poincare Comb. Phys. Interact. 6, 123154

286. Elvey Price A and Guttmann A J, Numerical studies of Thompson’s group F and related groups. arXiv:1706.07571, Int. J. Alg. and Comp. 29 (2) 179-243

287. Brent R P, Glasser M G and Guttmann A J, A conjectured integer sequence arising from the exponential integral, Journal of Integer Sequences, 22, article 19.4.7

288. Duplantier B and Guttmann, A J, New scaling laws for self-avoiding walks: bridges and worms, J. Stat. Mech: Theor. and Exp, (13pp) 104010.