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Non-Perturbative Localization with Quasiperiodic Potential in Continuous Time

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Abstract

We consider continuous one-dimensional multifrequency Schrödinger operators, with analytic potential, and prove Anderson localization in the regime of positive Lyapunov exponent for almost all phases and almost all Diophantine frequencies.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, ON, M5S 2E4, Canada

    Ilia Binder

  2. Department of Mathematics and Statistics, McGill University, Montreal, QC, H3A 0B9, Canada

    Damir Kinzebulatov

  3. Department of Mathematics, The University of Chicago, Chicago, IL, 60637, USA

    Mircea Voda

Authors
  1. Ilia Binder
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  2. Damir Kinzebulatov
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  3. Mircea Voda
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Corresponding author

Correspondence to Mircea Voda.

Additional information

Communicated by W. Schlag

I.B. was supported by an NSERC Discovery grant.

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Binder, I., Kinzebulatov, D. & Voda, M. Non-Perturbative Localization with Quasiperiodic Potential in Continuous Time. Commun. Math. Phys. 351, 1149–1175 (2017). https://doi.org/10.1007/s00220-016-2723-7

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  • DOI: https://doi.org/10.1007/s00220-016-2723-7

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