1. A. Avila, Global theory of one-frequency Schrödinger operators I: stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity, preprint (2009), 0905.3902 .
2. A. Avila, Global theory of one-frequency Schrödinger operators II: acriticality and finiteness of phase transitions for typical potentials, preprint.
3. A. Avila, Almost reducibility and absolute continuity I, preprint (2010), 1006.0704 .
4. J. Bourgain, Green’s Function Estimates for Lattice Schrödinger Operators and Applications, Princeton University Press, Princeton, 2004.
5. J. Bourgain and S. Jitomirskaya, Absolutely continuous spectrum for 1D quasi-periodic operators, Invent. Math., 148 (2002), 453–463.