We review threshold effects and oscillating cross sections in the context of models (such as the multiperipheral) which employ factorization and indefinite repetition in the t‐channel. The origin of logarithmic energy thresholds is illustrated by the ABFST model and applied to antibaryon production and rising cross sections at high energy. We then discuss large‐mass diffraction dissociation and argue that this process is not responsible for the increase in the p‐p total cross section at ISR energies.