The Arithmetic Version of the Frequency Transition Conjecture: New Proof and Generalization

Author:

Ge Lingrui,You Jiangong,Zhao Xin

Funder

National Key R&D Program of China

NNSF of China

China Scholarship Council

NSFC

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Reference45 articles.

1. Aubry, S., André, G.: Analyticity breaking and Anderson localization in incommensurate lattices. In: Group Theoretical Methods in Physics (Proc. Eighth Internat. Colloq., Kiryat Anavim, 1979), Ann. Israel Phys. Soc., Vol. 3, Hilger, Bristol, pp. 133–164 (1980)

2. Avila, A.: The absolutely continuous spectrum of the almost Mathieu operator, 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. preprint. https://w3.impa.br/~avila/arac.pdf

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

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