2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138773We revisit the work of Bourgain, Kahn, Kalai, Katznelson and Linial (1992) -- referred to as ``BKKKL'' in the title -- about influences on Boolean functions in order to give a precise statement of threshold phenomenon on the product space $\{1,..., r\}^\NN$, generalizing one of the main results of a paper by Talagrand (1994).10 pagesProbability60F20 (Primary) 28A35, 60E15 (Secondary)text