1. Amor S.: Hölder continuity of the rotation number for quasi-periodic co-cycles in $${{{\rm SL}}(2,\mathbb{R})}$$ . Commun. Math. Phys. 287(2), 565–588 (2009)
2. Avila, A.: Absolutely continuous spectrum for the almost Mathieu operator with subcritical coupling. Preprint available at http://arxiv.org/abs/1006.0704 [math.DS], 2010
3. Avila, A.: Absolute continuity without almost periodicity. In preparation.
4. Avila, A.: Global theory of one-frequency Schrödinger operators I: stratified analyticity of the Lyapunov exponent and the boundary of nonuniform hyperbolicity. Preprint http://arXiv.org/abs/0905.3902v1 [math.DS], 2009
5. Avila, A.: Global theory of one-frequency Schrödinger operators II: acriticality and the finiteness of phase transitions. Preprint, avilable at http://w3impa.br/~avila/global2.pdf , 2010