Abstract
It is shown that Schrödinger operators defined from the standard map have positive (mean) Lyapounov exponents for almost all energies.
Mathematical classification subject (2010): 37D25, 37D50
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Acknowledgements
The author is grateful to A. Avila, S. Sodin and T. Spencer for some discussions on this topic, and the referee for comments on the presentation.
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Bourgain, J. (2013). On the Lyapounov Exponents of Schrödinger Operators Associated with the Standard Map. In: Ludwig, M., Milman, V., Pestov, V., Tomczak-Jaegermann, N. (eds) Asymptotic Geometric Analysis. Fields Institute Communications, vol 68. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6406-8_3
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DOI: https://doi.org/10.1007/978-1-4614-6406-8_3
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