Corrections and Acknowledgment for “ Local Limit Theory and Large Deviations for Supercritical Branching Processes

Theorem 1 in [2] is incorrect in the case α ≥ 1. Our error stems from the fact that the lower bound C 1 was determined by an integral expression which we treated as positive, whereas in fact it was zero. This led to an incorrect normalization A n when α ≥ 1. This error was communicated to us by K. Fleischmann and V. Wachtel, and the correction, that A n = p n 1 v (α−1) n for all 0 < α < ∞, appears in their paper [1]. We thank them for this communication. The same error carried into Theorem 2, where the inequality (8) holds for all 0 < α < ∞.