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Optimality of log Hölder continuity of the integrated density of states

Krüger, Helge and Gan, Zheng (2011) Optimality of log Hölder continuity of the integrated density of states. Mathematische Nachrichten, 284 (14-15). pp. 1919-1923. ISSN 0025-584X http://resolver.caltech.edu/CaltechAUTHORS:20111114-082331529

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Abstract

We construct examples that log Hölder continuity of the integrated density of states cannot be improved. Our examples are limit-periodic.


Item Type:Article
Additional Information:© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. Received 24 June 2009, accepted 6 January 2010. Article first published online: 15 Jul. 2011. H. K. was supported by NSF grant DMS-0800100.
Funders:
Funding AgencyGrant Number
NSFDMS-0800100
Subject Keywords:Integrated density of states; limit-periodic potentials
Classification Code:MSC (2010) Primary: 47B36; Secondary: 47B80, 81Q10
Record Number:CaltechAUTHORS:20111114-082331529
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20111114-082331529
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Official Citation:Krüger, H. and Gan, Z. (2011), Optimality of log Hölder continuity of the integrated density of states. Mathematische Nachrichten, 284: 1919–1923. doi: 10.1002/mana.200910139
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27765
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 Jan 2012 23:59
Last Modified:18 Jan 2012 23:59

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