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Anderson localization for high-dimensional quasi-periodic operators

2018-11-21
 

 

Academic Report

Title: Anderson localization for high-dimensional quasi-periodic operators

Reporter: SHI Yunfeng (Peking University)

Time: November 22, 2018 (Thursday) AM 10:00-11:00

Location: A1101# room, Innovation Park Building

Contact: A.prof. CONG Hongzi 

 

Abstract: In this talk, it is concerned with a class of high-dimensional quasi-periodic operators with long-range interactions and more general ergodic transformations . Using methods developed by Bourgain, it is proved the Anderson localization for corresponding operators. This is a joint work with Svetlana Jitomirskaya and Wencai Liu.

 

The brief introduction to the reporter: Shi Yunfeng is a postdoctoral fellow at Peking University. In June 2018, he graduated from Fudan University, majoring in basic mathematics. His research fields are Hamilton partial differential equation KAM theory and quasi-periodic operator spectrum theory.