III. Quantum Chaos and Fractal Uncertainty Principle
主 题: III. Quantum Chaos and Fractal Uncertainty Principle
报告人: Jin Long (Purdue university)
时 间: 2017-06-14 14:00 - 2017-06-14 15:30
地 点: Room 9, Quan Zhai, BICMR
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Part 3: Semiclassical measures on compact hyperbolic surfaces.<\/span><\/strong>\n<\/div>\n
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We study the behavior of the eigemfunctions of Laplacian operator on a compact hyperbolic surface in the semiclassical limit. We apply the FUP result by Bourgain-Dyatlov to prove that semiclassical measures on compact hyperbolic surfaces always have full support on the unit cosphere bundle. <\/span>\n<\/div>
