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math.DS2026
Arithmetic -Polynomial Dynamical Localization for Power-Law Quasi-Periodic Long-Range Operators on
Ao Cai, Huihui Lv, Yuan Shan +1
We establish a criterion of arithmetic -polynomial spectral localization and -polynomial dynamical localization in expectation for quasi-periodic long-range operators on $\el…
math.DS2024
Quantitative Reducibility of Quasi-Periodic Cocycles
Ao Cai, Huihui Lv, Zhiguo Wang
This paper establishes an extreme reducibility theorem of quasi-periodic cocycles in the local perturbative region, revealing both the essence of Eliasson…