Second phase transition line

Avila, Artur; Jitomirskaya, Svetlana; Zhou, Qi (2018). Second phase transition line. Mathematische Annalen, 370(1-2):271-285.

Abstract

We study the phase transion line of the almost Mathieu operator, that separates arithmetic regions corresponding to singular continuous and a.e. pure point regimes, and prove that both purely singular continuous and a.e. pure point spectrum occur for dense sets of frequencies.

Abstract

We study the phase transion line of the almost Mathieu operator, that separates arithmetic regions corresponding to singular continuous and a.e. pure point regimes, and prove that both purely singular continuous and a.e. pure point spectrum occur for dense sets of frequencies.

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