Jaksic V., Pillet C.-A. Ergodic Properties of the Langevin Equation (125K, postscript) ABSTRACT. We discuss the dissipative dynamics of a classical particle coupled to an infinite heat reservoir. We announce a number of results concerning the ergodic properties of this model. The novelty of our approach is that it extends beyond Markovian dynamics to the case where the Langevin equation is driven by colored noise and has memory. More general results and proofs will be given in a companion paper.