Arithmetic $k$-Polynomial Dynamical Localization for $k$ Power-Law Quasi-Periodic Long-Range Operators on ${\ell }^2({\mathbb{Z}}^d)$

Ao Cai, Huihui Lv, Yuan Shan +1

We establish a criterion of arithmetic $k$-polynomial spectral localization and $k$-polynomial dynamical localization in expectation for quasi-periodic long-range operators on $\el…