Fractal Uncertainty Principle and Applications
发布时间：2021年12月31日
浏览次数：4529
发布者: Wenqiong Li
主讲人： 金龙（清华大学）
活动时间： 从 2022-01-04 16:00 到 17:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
Abstract: In this talk, we survey some recent progress on the fractal uncertainty principle and its applications. Roughly speaking, a fractal uncertainty principle states that a function and its Fourier transform cannot be both localized near a fractal set. This is first formulated by Dyatlov--Zahl in 2016 to understand the essential spectral gap for convex cocompact hyperbolic manifolds and fully resolved by Bourgain--Dyatlov in one-dimensional situation in 2018. We will discuss the current understanding on this topic as well as its further applications in the field of quantum chaos.
