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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Dry Ten Martini problem for the non-self-dual extended Harper’s model
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by Rui Han PDF
Trans. Amer. Math. Soc. 370 (2018), 197-217 Request permission

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
  • MR Author ID: 1138295
  • Email: rhan2@uci.edu
  • Received by editor(s): March 9, 2016
  • Published electronically: July 7, 2017
  • Additional Notes: This research was partially supported by NSF grant DMS1401204
  • © Copyright 2017 American Mathematical Society
  • 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
  • MathSciNet review: 3717978