1. The absolutely continuous spectrum of the almost Mathieu operator;Avila,2008
2. Opening gaps in the spectrum of strictly ergodic Schrödinger operators;Avila;J. Eur. Math. Soc.,2012
3. Uniformly hyperbolic finite-valued SL(2,R)-cocycles;Avila;Comment. Math. Helv.,2010
4. Monotonic cocycles;Avila;Invent. Math.,2015
5. A. Avila, Y. Last, M. Shamis, Q. Zhou, On the abominable properties of the almost Mathieu operator with well approximated frequencies, preprint, 2021.