2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75835In this paper we generalize and improve results proven for acoustic operators in \cite{jmp,long}. It deals with the behavior of the integrated density of states of random divergence operators of the form $H\_ω=\sum\_{i,j=1}^d\partial\_{x\_{i}}a\_{i,j}(ω,x)\partial\_{x\_j}$ ; on the internal band edges of the spectrum. We propose an application of such a result to get localization.20 pagesSpectral TheoryMSC2000: 81Q10, 35P05, 37A30, 47F05text