Small x processes: Heavy Quark Production at High Energy

A brief summary is given of some recent perturbative QCD results on the evaluation of cross sections and on the the structure of final states in processes with incoming hadrons at small $x$. A new Monte Carlo simulation which includes these theoretical features is described together with its applications to the study of heavy quark production in $ep$ collisions at very high energy. (Talk given at the XXVIIth Rencontre de Moriond, March 1993, Les Arcs, France)