2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65256We study a generalization of the Random Energy Model to the case when the number of exponential factors varies at random. Also a relation between REM and the Erd"os-R'enyi limit theorem for maximums of partial sums is considered.12 pagesProbabilityMathematical Physics60F99; 82B44text