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math.DS2021★ 3 cited
Mixed Random-Quasiperiodic Cocycles
Ao Cai, Pedro Duarte, Silvius Klein
We introduce the concept of mixed random-quasiperiodic linear cocycles. We characterize the ergodicity of the base dynamics and establish a large deviations type estimate for certa…
math.DS2021
The absolutely continuous spectrum of finitely differentiable quasi-periodic Schrödinger operators
Ao Cai
We prove that the quasi-periodic Schrödinger operator with a finitely differentiable potential has purely absolutely continuous spectrum for all phases if the frequency is Diophant…