2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57862We present a novel approach to establishing the variational principle for Gibbs and generalized (weak and almost) Gibbs states. Limitations of a thermodynamical formalism for generalized Gibbs states will be discussed. A new class of intuitively weak Gibbs measures is introduced, and a typical example is studied. Finally, we present a new example of a non-Gibbsian measure arising from an industrial application.To appear in Markov Processes and Related Fields, Proceedings workshop Gibbs-nonGibbsMathematical Physics82B20text