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arXiv · 1609.02973

Anderson localization for one-frequency quasi-periodic block Jacobi operators

Silvius Klein
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Abstract

We consider a one-frequency, quasi-periodic, block Jacobi operator, whose blocks are generic matrix-valued analytic functions. We establish Anderson localization for this type of operator under the assumption that the coupling constant is large enough but independent of the frequency. This generalizes a result of J. Bourgain and S. Jitomirskaya on localization for band lattice, quasi-periodic Schroedinger operators.

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Silvius Klein. 2017-04-29. Anderson localization for one-frequency quasi-periodic block Jacobi operators. https://arxiv.org/abs/1609.02973

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