Xianzhe Li 李先哲

Xianzhe Li is a Charles B. Morrey, Jr. Math Fellow at the University of California, Berkeley, affiliated with the Department of Mathematics. His research focuses on Mathematical Analysis and Probability. He can be contacted via email at frontoffice@math.berkeley.edu, and his profile page provides additional information about his work and contributions.

Xianzhe Li is a mathematician at UC Berkeley, specializing in KAM theory, quasi-periodic systems, and spectral theory. His research focuses on the spectral properties of quasi-periodic operators, including the stability of spectral types and the analysis of absolutely continuous spectral measures. Li has contributed to the study of the Dry Ten Martini Problem and the almost Mathieu operator, exploring topics such as fibered rotation numbers, reducibility, and multifractality. His work often involves ergodic symplectic cocycles and their applications in gap labelling theorems. Li's research bridges dynamical systems and mathematical physics, with an emphasis on understanding the long-term behavior of quasi-periodic systems through spectral analysis.