II. Quantum Chaos and Fractal Uncertainty Principle -

II. Quantum Chaos and Fractal Uncertainty Principle

Time: 2017-06-01 Published By: He Liu

Speaker(s): Jin Long (Purdue University)

Time: 10:00-12:00 June 6, 2017

Venue: Room 9, Quan Zhai, BICMR

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.