By Professor John Anthony Gerard Roberts

Journal articles

Quispel GRW; Roberts JAG; Thompson CJ, 1989, 'Integrable mappings and soliton equations II', Physica D: Nonlinear Phenomena, 34, pp. 183 - 192, http://dx.doi.org/10.1016/0167-2789(89)90233-9

Quispel GRW; Roberts JAG, 1988, 'Reversible mappings of the plane', Physics Letters A, 132, pp. 161 - 163, http://dx.doi.org/10.1016/0375-9601(88)90274-5

Roberts JAG; Thompson CJ, 1988, 'Dynamics of the classical heisenberg spin chain', Journal of Physics A: Mathematical and General, 21, pp. 1769 - 1780, http://dx.doi.org/10.1088/0305-4470/21/8/013

Quispel GRW; Roberts JAG; Thompson CJ, 1988, 'Integrable mappings and soliton equations', Physics Letters A, 126, pp. 419 - 421, http://dx.doi.org/10.1016/0375-9601(88)90803-1

Conference Papers

Roberts JA, 2011, 'Order and symmetry in birational difference equations and their signatures over finite phase spaces', in Liz E; Manosa V (ed.), Proceedings of the workshop on future directions in difference equations, Universidade de Vigo, Vigo, Spain, pp. 213 - 221, presented at Future Directions in Difference Equations, Vigo, Spain, 12 June 2011 - 17 June 2011

Wagner H; Baake M; Roberts JAG, 1995, 'Trace maps and dynamical systems', in Janot C; Mosseri R (ed.), PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON QUASICRYSTALS, WORLD SCIENTIFIC PUBL CO PTE LTD, FRANCE, AVIGNON, pp. 104 - 107, presented at 5th International Conference on Quasicrystals, FRANCE, AVIGNON, 22 May 1995 - 26 May 1995, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1995BH70Q00022&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

ROBERTS JAG; BAAKE M, 1993, 'THE DYNAMICS OF TRACE MAPS', in Seimenis J (ed.), HAMILTONIAN MECHANICS, PLENUM PRESS DIV PLENUM PUBLISHING CORP, POLAND, TORUN, pp. 275 - 285, presented at NATO Advanced Research Workshop on Hamiltonian Mechanics - Integrability and Chaotic behaviour, POLAND, TORUN, 28 June 1993 - 02 July 1993, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994BC43P00026&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Working Papers

Roberts JAG; Saito A; Vivaldi F, 2021, Critical curves of a piecewise linear map, http://dx.doi.org, http://dx.doi.org/10.1063/5.0054334

Baake M; Roberts J; Yassawi R, 2017, Reversing and extended symmetries of shift spaces, American Institute of Mathematical Science (AIMS), http://dx.doi.org10.3934/dcds.2018036, http://web.maths.unsw.edu.au/~jagr/BRY16.pdf

Roberts JAG; Tran DT, 2017, Algebraic entropy of (integrable) lattice equations and their reductions, http://dx.doi.org, http://web.maths.unsw.edu.au/~jagr/RT17a.pdf

Tran DT; Roberts JAG, 2017, Linear degree growth in lattice equations, http://dx.doi.org, https://arxiv.org/abs/1702.08295

Preprints

Hone ANW; Roberts JAG; Vanhaecke P; Zullo F, 2023, Integrable maps in 4D and modified Volterra lattices, http://dx.doi.org/10.46298/ocnmp.12491

Hone ANW; Roberts JAG; Vanhaecke P, 2023, A family of integrable maps associated with the Volterra lattice, http://arxiv.org/abs/2309.02336v3

Roberts JAG; Saito A; Vivaldi F, 2023, Critical curves of rotations, http://arxiv.org/abs/2303.17955v1

Roberts JAG; Saito A; Vivaldi F, 2021, Critical curves of a piecewise linear map, http://dx.doi.org/10.48550/arxiv.2104.07197

Evripidou CA; Quispel GRW; Roberts JAG, 2018, Poisson structures for difference equations, http://dx.doi.org/10.48550/arxiv.1806.07233

Roberts JAG; Vivaldi F, 2014, Growth of heights in piecewise-affine planar maps, http://dx.doi.org/10.48550/arxiv.1408.4264

Baake M; Neumaerker N; Roberts JAG, 2012, Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices, http://dx.doi.org/10.48550/arxiv.1205.1003

Roberts JAG; Vivaldi F, 2009, A combinatorial model for reversible rational maps over finite fields, http://dx.doi.org/10.48550/arxiv.0905.4135

Baake M; Roberts JAG; Weiss A, 2008, Periodic orbits of linear endomorphisms on the 2-torus and its lattices, http://dx.doi.org/10.48550/arxiv.0808.3489

Baake M; Roberts JAG, 2006, The structure of reversing symmetry groups, http://dx.doi.org/10.48550/arxiv.math/0605296

Baake M; Roberts JAG, 2005, Symmetries and reversing symmetries of polynomial automorphisms of the plane, http://dx.doi.org/10.48550/arxiv.math/0501151

Roberts JAG; Baake M, 2002, Symmetries and reversing symmetries of area-preserving polynomial mappings in generalised standard form, http://dx.doi.org/10.48550/arxiv.math/0206096

Baake M; Roberts JAG, 2000, Symmetries and reversing symmetries of toral automorphisms, http://dx.doi.org/10.48550/arxiv.math/0006092

Baake M; Roberts JAG, 1999, Symmetries and reversing symmetries of trace maps, http://arxiv.org/abs/math/9901124v1

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