Dynamical Upper Bounds for One-Dimensional Quasicrystals
classification
🧮 math-ph
math.MP
keywords
boundsdynamicaleveryone-dimensionalupperalmostcouplingdiscrete
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Following the Killip-Kiselev-Last method, we prove quantum dynamical upper bounds for discrete one-dimensional Schr\"odinger operators with Sturmian potentials. These bounds hold for sufficiently large coupling, almost every rotation number, and every phase.
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