Cascade theory and the molecular weight averages of the sol fraction

Gordon (1962) discussed the distribution of branched polymers in solution with the help of the cascade or branching theory of stochastic processes, and dealt both with systems of copolymers and homopolymers. The present paper is concerned primarily with the latter simpler case, and the main purpose is to use cascade theory to obtain formulae for the weight average and z-average degree of polymerization of the sol fraction.