Stability of the Non-Critical Spectral Properties I: Arithmetic Absolute Continuity of the Integrated Density of States

Author:

Ge LingruiORCID,Jitomirskaya Svetlana,Zhao Xin

Funder

Division of Mathematical Sciences

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference67 articles.

1. Hadj Amor, S.: Hölder continuity of the rotation number for quasi-periodic co-cycles in $$SL(2,{\mathbb{R} })$$. Commun. Math. Phys. 287(2), 565–588 (2009)

2. Avila, A.: The absolutely continuous spectrum of the almost Mathieu operator, preprint, arXiv:0810.2965

3. Avila, A.: Global theory of one-frequency Schrödinger operators. Acta Math 215(1), 1–54 (2015)

4. Avila, A.: Almost reducibility and absolute continuity. http://w3.impa.br/~avila/ (2704,2711)

5. Avila, A.: KAM, Lyapunov exponent and the spectral dichotomy for one-frequency Schrödinger operators

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