Ballistic Transport for One‐Dimensional Quasiperiodic Schrödinger Operators

@article{Ge2020BallisticTF,
  title={Ballistic Transport for One‐Dimensional Quasiperiodic Schr{\"o}dinger Operators},
  author={Lingrui Ge and Ilya Kachkovskiy},
  journal={Communications on Pure and Applied Mathematics},
  year={2020}
}
In this paper, we show that one-dimensional discrete multi-frequency quasiperiodic Schrodinger operators with smooth potentials demonstrate ballistic motion on the set of energies on which the corresponding Schrodinger cocycles are smoothly reducible to constant rotations. The proof is performed by establishing a local version of strong ballistic transport on an exhausting sequence of subsets on which reducibility can be achieved by a conjugation uniformly bounded in the $\mathrm{C}^{\ell… 
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