Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
周麒 教授，南京大学
Inviter:
郑作环 研究员
Title:
Exponential Dynamical Localization: Criterion and Applications
Time & Venue:
2018.11.8 15:00 N613
Abstract:
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 $\ell^2(\Z^d)$. We also prove EDL for a class of quasi-periodic Schr\"odinger operator on $\ell^2(\Z^d)$ with almost sharp dynamical localization exponent. For supercritical almost Mathieu operators, we prove EDL with sharp dynamical localization exponent. This is joint work with J.You and L.Ge