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Transactions of the American Mathematical Society

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Dry Ten Martini problem for the non-self-dual extended Harper's model


Author: Rui Han
Journal: Trans. Amer. Math. Soc. 370 (2018), 197-217
MSC (2010): Primary 47B36; Secondary 39A70, 47B39, 81Q10, 47A10
DOI: https://doi.org/10.1090/tran/6989
Published electronically: July 7, 2017
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Abstract: In this paper we prove the dry version of the Ten Martini problem: Cantor spectrum with all gaps open, for the extended Harper's model in the non-self-dual region for Diophantine frequencies.


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Additional Information

Rui Han
Affiliation: Department of Mathematics, University of California, Irvine, California 92697-3875
Email: rhan2@uci.edu

DOI: https://doi.org/10.1090/tran/6989
Received by editor(s): March 9, 2016
Published electronically: July 7, 2017
Additional Notes: This research was partially supported by NSF grant DMS1401204
Article copyright: © Copyright 2017 American Mathematical Society

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