2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129102It is shown that Schroedinger operators, with potentials along the shift embedding of Lebesgue almost every interval exchange transformations, have Cantor spectrum of measure zero and pure singular continuous for Lebesgue almost all points of the interval.Mathematical Physics47B36;47B37;37B05;37B10Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformationstext