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Orbit Representations from Linear mod 1 Transformations:

Ramos, Carlos Correia ; Martins, Nuno ; Pinto, Paulo R
Correia Ramos, Carlos; Martins, Nuno; Pinto, Paulo R. Orbit representations from linear mod 1 transformations. SIGMA Symmetry Integrability Geom. Methods Appl. 8 (2012), Paper 029, 9 pp..  , 2012