II. Quantum Chaos and Fractal Uncertainty Principle
主 题: II. Quantum Chaos and Fractal Uncertainty Principle
报告人: Jin Long (Purdue University)
时 间: 2017-06-06 10:00 - 2017-06-06 12:00
地 点: Room 9, Quan Zhai, BICMR
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Part 2: One dimensional FUP for regular sets.<\/span>\n<\/div>\n
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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.<\/span>\n<\/div>
