On the abominable properties of the almost Mathieu operator with well-approximated frequencies-Reference-Cited by-同舟云学术

On the abominable properties of the almost Mathieu operator with well-approximated frequencies

Published:2024-03-15 Issue:4 Volume:173 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Avila Artur¹,Last Yoram²,Shamis Mira³,Zhou Qi⁴

Affiliation:

1. Institut für Mathematik, Universität Zürich, Zürich, Switzerland, and Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil

2. Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

3. School of Mathematical Sciences, Queen Mary University of London, London, England

4. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, China

Publisher

Duke University Press

Reference81 articles.

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3. S. AUBRY and G. ANDRÉ, “Analyticity breaking and Anderson localization in incommensurate laticces” in Proceedings of the VIII International Colloquium on Group-Theoretical Methods in Physics (Kiryat Anavim, 1979), Ann. Israel Phys. Soc. $3$ (1980), 133–164.

4. A. AVILA, On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators, Comm. Math. Phys. $288$ (2009), no. 3, 907–918.

5. A. AVILA, Global theory of one-frequency Schrödinger operators, Acta Math. 215 (2015), no. 1, 1–54.

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