2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109154In this paper the Random Energy Model(REM) under exponential type environment is considered which includes double exponential and Gaussian cases. Limiting Free Energy is evaluated in these models. Limiting Gibbs' distribution is evaluated in the double exponential case.This manuscript was submitted to J. Stat. PhyProbabilityMathematical Physicstext