| Abstract: | We characterize growth processes (probabilistic amplification) by their initial conditions to derive conditions under which results such as Valiant's 24 hold. We completely characterize growth processes that use linear connectives and generalize Savický's 19 analysis to characterize growth processes that use monotone connectives. Additionally, we obtain explicit bounds on the convergence rates of several growth processes, including the growth process studied in Savický. © 2005 Wiley Periodicals, Inc. Random Struct. Alg., 2005 |
