Avron, J. and Craig, W. and Simon, B. (1983) Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems. Journal of Physics A: Mathematical and General, 16 (7). L209-L211. ISSN 0305-4470. doi:10.1088/0305-4470/16/7/002. https://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83
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Abstract
Studies the Lyapunov exponent gamma lambda (E) of (hu)(n)=u(n+1)+u(n-1)+ lambda V(n)u(n) in the limit as lambda to infinity where V is a suitable random potential. The authors prove that gamma lambda (E) approximately ln lambda as lambda to infinity uniformly as E/ lambda runs through compact sets. They also describe a formal expansion (to order lambda -2) for random and almost periodic potentials.
Item Type: | Article | ||||||
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Additional Information: | © 1983 IOP Publishing Limited Received 18 January 1983 Research partially supported by USNSF under Grant MCS-81-20833. | ||||||
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Issue or Number: | 7 | ||||||
DOI: | 10.1088/0305-4470/16/7/002 | ||||||
Record Number: | CaltechAUTHORS:AVRjpa83 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 2764 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Archive Administrator | ||||||
Deposited On: | 26 Apr 2006 | ||||||
Last Modified: | 12 Jul 2022 19:47 |
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