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- W3100450781 endingPage "254003" @default.
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- W3100450781 abstract "The concept of Lyapunov exponent has long occupied a central place in the theory of Anderson localisation; its interest in this particular context is that it provides a reasonable measure of the localisation length. The Lyapunov exponent also features prominently in the theory of products of random matrices pioneered by Furstenberg. After a brief historical survey, we describe some recent work that exploits the close connections between these topics. We review the known solvable cases of disordered quantum mechanics involving random point scatterers and discuss a new solvable case. Finally, we point out some limitations of the Lyapunov exponent as a means of studying localisation properties." @default.
- W3100450781 created "2020-11-23" @default.
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- W3100450781 date "2013-06-04" @default.
- W3100450781 modified "2023-10-14" @default.
- W3100450781 title "Lyapunov exponents, one-dimensional Anderson localization and products of random matrices" @default.
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- W3100450781 doi "https://doi.org/10.1088/1751-8113/46/25/254003" @default.
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