1. Avila, A.: Absolutely continuous spectrum for the almost Mathieu operator with subcritical coupling. Preprint, 2008
2. Avila, A.: Global theory of one-frequency operators I: Stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity, Preprint, 2009
3. Avila A., Jitomirskaya S.: Almost localization and almost reducibility. J. Eur. Math. Soc. 12, 93–131 (2010)
4. Avila, A.: Global theory of one-frequency operators II: acriticality and the finiteness of phase transitions for typical potentials. Preprint, 2010
5. Avila, A.: Almost reducibility and absolute continuity I. Preprint, 2010, available at http://arxiv.org/abs/1006.074v1 [math.DS], 2010