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These are lecture notes based on three lectures given by AntonelloScardicchio at the December 2016 Topical School on Many-Body-Localizationorganized by the Statistical Physics Group of the Institute Jean Lamour inNancy. They were compiled and put in a coherent logical form by Thimoth\'eeThiery.

Perturbation theory approaches to Anderson and Many-Body Localization: some lecture notes