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Concentration of Eigenvalues for Skew-Shift Schrödinger Operators

Krüger, Helge (2012) Concentration of Eigenvalues for Skew-Shift Schrödinger Operators. Journal of Statistical Physics, 149 (6). pp. 1096-1111. ISSN 0022-4715. doi:10.1007/s10955-012-0650-3.

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I analyze the microscopic behavior of the eigenvalues of skew-shift Schrödinger operators, and show that their statistics must resemble the one of the Anderson model rather than the one of quasi-periodic Schrödinger operators.

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Additional Information:© 2012 Springer Science+Business Media New York. Received: 25 July 2012; Accepted: 17 November 2012; Published online: 4 December 2012. H.K. was supported by a fellowship of the Simons foundation.
Funding AgencyGrant Number
Simons foundationUNSPECIFIED
Subject Keywords:Eigenvalue statistic; Schrödinger operators; Skew-shift
Issue or Number:6
Record Number:CaltechAUTHORS:20130124-141517762
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:36572
Deposited By: Jason Perez
Deposited On:25 Jan 2013 00:24
Last Modified:09 Nov 2021 23:23

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