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We study one-dimensional optical lattices described by generalizedAubry-Andr\'e models that include both commensurate and incommensuratemodulations of the hopping amplitude. This brings together two interestingfeatures of this class of systems: Anderson localization and the existence oftopological edge states. We follow changes of the single-particle energyspectrum induced by variations of the system parameters, with focus on thesurvival of topological states in the localized regime.

Fate of topological states in incommensurate generalized Aubry-Andr\'e models