指数动力学局部化:判据及应用
Exponential Dynamical Localization: Criterion and Applications
摘要:
给出了作用于$\ell^2(\Z^d)$上的遍历算子族的指数动力学期望局部化的一个判据。作为应用,我们证明了$\ell^2(\Z^d)$上一类拟周期长程算子的EDL。
英文摘要:
We give a criterion for exponential dynamical localization in expectation (EDL) for ergodic families of operators acting on $\ell^2(\Z^d)$. As applications, we prove EDL for a class of quasi-periodic long-range operators on $\ell^2(\Z^d)$.
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