【学术报告】On Lyapunov exponents of quasi-periodic cocycles

• 主讲人：Jiangong You (Chern Institute of Mathematics, Nankai University)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium by Sino-Russian Mathematics Center
• 时间： 2022-03-24 20:00 - 2022-03-24 21:00
• 地点： online

Video: https://disk.pku.edu.cn:443/link/EE1E0EAC2E77FE3CF97E4E2B48DAAEA3
Valid Until：2026-04-30 23:59

 

Abstract: Lyapunov exponents are dynamical invariants. Quasi-periodic cocycles are a special important class of dynamical systems having strong background in quantum physics. Lyapunov exponents of a quasi-periodic cocycle depends sensitively on the smoothness of the cocycle, arithmetic property of the frequency and profile of the potential. So far the behind mechanism of the sensitivity has not been completely understood. In this talk, I will discuss the continuity, Holder regularity of the Lyapunov exponent as well as the quantitative version of Avila’s global theory. The talk is based on joint works with L. Ge, S. Jitomirskaya, Y. Wang, X. Zhao and Q. Zhou.

 

Bio: Jiangong You is a professor at Chern Institute of Mathematics of Nankai University. His research interests include Hamiltonian dynamics (especially KAM theory for Hamiltonian ODEs and PDEs), smooth ergodic theory (especially Lyapunov exponents) and mathematical physics (especially spectral theory of quasi-periodic Schrodinger operators).