ERGODICITY IN INFINITE HAMILTONIAN SYSTEMS WITH CONSERVATIVE NOISE
                                by
              Carlangelo Liverani and Stefano Olla

ABSTRACT:
We study the stationary measures of an infinite Hamiltonian system of 
interacting particles in $\RR^3$ subject to a stochastic local perturbation
conserving energy and momentum. We prove that the translation invariant
measures that are stationary for the deterministic Hamiltonian dynamics,
reversible for the stochastic dynamics, and with finite entropy density, are convex
combination of ``Gibbs'' states. This result implies
hydrodynamic behavior for the systems under consideration.

PUBLISHED IN:
Probability Theory and RelateD Fields, 106, pp. 401--445, (1996).