ERGODIC PROPERTIES FOR A QUANTUM NON LINEAR DYNAMICS
                                 by
                 Francesco Fidaleo and Carlangelo Liverani
                

ABSTRACT:
We present a quantum system composed of infinitely many particles, 
subject to a non quadratic Hamiltonian, for 
which it is possible to investigate the long time behavior of the 
dynamics and its ergodic properties. 
We do so both for the KMS states and 
for a large class of locally normal invariant states, whose very 
existence is already of some interest.