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arxiv: 1609.02973 · v2 · pith:Z33UVXILnew · submitted 2016-09-09 · 🧮 math-ph · math.MP· math.SP

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

classification 🧮 math-ph math.MPmath.SP
keywords localizationquasi-periodicandersonblockjacobione-frequencyoperatoroperators
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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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