2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168717I review here some recent result on the thermal conductivity of chains of oscillators whose hamiltonian dynamics is perturbed by a noise conserving energy and momentum.for the proceedings of ICMP 06, Rio de JaneiroMathematical PhysicsStatistical MechanicsProbability82C20; 82C70Energy diffusion and superdiffusion in oscillators lattice networkstext