Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100800We consider radial tree extensions of one-dimensional quasi-periodic Schroedinger operators and establish the stability of their absolutely continuous spectra under weak but extensive perturbations by a random potential. The sufficiency criterion for that is the existence of Bloch-Floquet states for the one dimensional operator corresponding to the radial problem.Dedicated to Ya. Sinai on the occasion of his seventieth birthdayMathematical PhysicsDisordered Systems and Neural Networks47B80, 37E10Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphstext