Research Article

Optimality of log Hölder continuity of the integrated density of states

  1. Helge Krüger1,*,
  2. Zheng Gan2

Article first published online: 15 JUL 2011

DOI: 10.1002/mana.200910139

Issue

Mathematische Nachrichten

Mathematische Nachrichten

Volume 284, Issue 14-15, pages 1919–1923, October 2011

Additional Information

How to Cite

Krüger, H. and Gan, Z. (2011), Optimality of log Hölder continuity of the integrated density of states. Math. Nachr., 284: 1919–1923. doi: 10.1002/mana.200910139

Author Information

  1. 1

    Department of Mathematics, Rice University, Houston, TX 77005, USA

  2. 2

    Current address of the first author: Mathematics 253-37, Caltech, Pasadena, CA 91125, USA, Phone: +1 281-857-1503, Fax: +1 713-348-5231

*Department of Mathematics, Rice University, Houston, TX 77005, USA, Phone: +1 (626) 395-4324, Fax: +1 (626) 585-1728

Publication History

  1. Issue published online: 16 SEP 2011
  2. Article first published online: 15 JUL 2011
  3. Manuscript Accepted: 6 JAN 2010
  4. Manuscript Received: 24 JUN 2009

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Keywords:

  • Integrated density of states;
  • limit-periodic potentials;
  • MSC (2010) Primary: 47B36;
  • Secondary: 47B80;
  • 81Q10

Abstract

We construct examples that log Hölder continuity of the integrated density of states cannot be improved. Our examples are limit-periodic. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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