2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57318This paper is a review on the statistical mechanics of anharmonic oscillators coupled to heat reservoirs. We discuss stationary states (existence and ergodic properties) and entropy production (positivity, Green-Kubo formulas and the Gallavotti-Cohen fluctuation theorem).This review will appear in the Proceedings of the 2002 UAB International Conference on Differential Equations and Mathematical Physics.To appear in Contemporary Mathematics AMS seriesMathematical PhysicsProbabilitytext