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 http://resolver.caltech.edu/CaltechAUTHORS:AVRjpa83
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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.
|Additional Information:||© 1983 IOP Publishing Limited Received 18 January 1983 Research partially supported by USNSF under Grant MCS-81-20833.|
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|Deposited On:||26 Apr 2006|
|Last Modified:||26 Dec 2012 08:50|
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