EXACT RESULTS FOR THE ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL

The asymmetric exclusion model describes a system of particles hopping in a preferred direction with hard core repulsion. These particles ca n be thought of as charged particles in a field, as steps of an interf ace, as cars in a queue. Several exact results concerning the steady s tate of this system have been obtained recently. The solution consists of representing the weights of the configurations in the steady state as products of non-commuting matrices.