III. Quantum Chaos and Fractal Uncertainty Principle -

III. Quantum Chaos and Fractal Uncertainty Principle

Time: 2017-06-06 Published By: He Liu

Speaker(s): Jin Long (Purdue university)

Time: 14:00-15:30 June 14, 2017

Venue: Room 9, Quan Zhai, BICMR

Part 3: Semiclassical measures on compact hyperbolic surfaces.

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.