2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27371Schrödinger operators with potentials generated by primitive substitutions are simple models for one dimensional quasi-crystals. We review recent results on their spectral properties. These include in particular an algorithmically verifiable sufficient condition for their spectrum to be singular continuous and supported on a Cantor set of zero Lebesgue measure. Applications to specific examples are discussed.Condensed MatterSchrödinger operators generated by substitutionstext