Journal of Statistical Physics, Vol. 58, Nos. 5/6, 1990, p. 1041-1058.
We characterize gelation for models of polymers built up as infinite-volume limits of finite systems. We establish rigorously the occurrence of gelation in Lushnikov's model with reaction rate R_(jk) = jk. We obtain bounds on the size of the largest polymer in the system at time t.