- K.V. Rerikh, “Algebraic-geometry approach to integrability of birational plane mappings. Integrable birational quadratic reversible mappings. I”, Journal of Geometry and Physics, 24, № 3, 1998, 265
- Y. Ohta, K.M. Tamizhmani, B. Grammaticos, A. Ramani, “Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations”, Physics Letters A, 262, № 2-3, 1999, 152
- B Grammaticos, Y Ohta, A Ramani, D Takahashi, K.M Tamizhmani, “Cellular automata and ultra-discrete Painlevé equations”, Physics Letters A, 226, № 1-2, 1997, 53
- J-Ch Anglès d'Auriac, J-M Maillard, C M Viallet, “On the complexity of some birational transformations”, J. Phys. A: Math. Gen., 39, № 14, 2006, 3641
- K M TAMIZHMANI, “Integrability detectors”, Pramana - J Phys, 85, № 5, 2015, 823
- J Hietarinta, T Mase, R Willox, “Algebraic entropy computations for lattice equations: why initial value problems do matter”, J. Phys. A: Math. Theor., 52, № 49, 2019, 49LT01
- B Grammaticos, A Ramani, K M Tamizhmani, “Non-proliferation of pre-images in integrable mappings”, J. Phys. A: Math. Gen., 27, № 2, 1994, 559
- Peter H. van der Kamp, “Growth of degrees of integrable mappings”, Journal of Difference Equations and Applications, 18, № 3, 2012, 447
- S. Boukraa, J-M. Maillard, G. Rollet, “Integrable mappings and polynomial growth”, Physica A: Statistical Mechanics and its Applications, 209, № 1-2, 1994, 162
- A Ramani, B Grammaticos, S Lafortune, Y Ohta, “Linearizable mappings and the low-growth criterion”, J. Phys. A: Math. Gen., 33, № 31, 2000, L287