2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128343We consider quite general $h$-pseudodifferential operators on $R^n$ with small random perturbations and show that in the limit of small $h$ the eigenvalues are distributed according to a Weyl law with a probabality that tends to 1. The first author has previously obtained a similar result in dimension 1. Our class of perturbations is different.This version contains improvements of the presentation and small corrections, in particular that of the power of $h$ in the smallness condition on delta in the main resultsSpectral TheoryAnalysis of PDEs35P20; 30D35text