Abstract: | The asymmetric simple exclusion process plays the role of a paradigm to study various aspects of non-equilibrium statistical physics. It is a minimal model of interacting particles with transport, that displays interesting collective behaviour and breaks time-reversal symmetry. This system appears as a building block in more realistic descriptions of low-dimensional transport with constraints. During the last twenty years, a large number of exact results have been derived for the exclusion process. We shall explain the main techniques used to study this system and some of the important results that have been obtained. |