2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210055We review some recent developments in the study of Gibbs and non-Gibbs properties of transformed n-vector lattice and mean-field models under various transformations. Also, some new results for the loss and recovery of the Gibbs property of planar rotor models during stochastic time evolution are presented.31 pages, 6 figuresMathematical PhysicsStatistical MechanicsProbability82B20; 82B26; 60K35text