Abarenkova, N.; Anglès d'Auriac, J.-C.; Maillard, J.-M. - In: Physica A: Statistical Mechanics and its Applications 237 (1997) 1, pp. 123-134
We study birational mappings generated by matrix inversion and permutation of the entries of q × q matrices. For q = 3 we have performed a systematic examination of all the permutations of 3 × 3 matrices in order to find integrable mappings (of three different kinds) and finite order mappings....