II. Quantum Chaos and Fractal Uncertainty Principle -

II. Quantum Chaos and Fractal Uncertainty Principle

发布时间：2017年06月01日浏览次数：6811 发布者: He Liu

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主讲人： Jin Long (Purdue University)

活动时间： 从 2017-06-06 10:00 到 12:00

场地： 北京国际数学研究中心，全斋全9教室

Part 2: One dimensional FUP for regular sets.

For convex co-compact hyperbolic surfaces, Dyatlov-Zahl showed that the existence of essential spectral gap follows from a FUP for the limit sets. The Patterson-Sullivan theory shows that the limit set is David-Ahlfors regular. In this talk, we discuss recent results by Bourgain-Dyatlov and Dyatlov-Jin on FUP for regular sets in one dimension and applications to convex co-compact hyperbolic surfaces.

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