博彩网

报告人:      葛灵睿教授（北京大学博彩网 ）

报告题目：Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles

报告时间：2023年10月27日 11:00-12:00

报告地点：江宁校区励学楼 B 219

邀请人：   陶凯

Abstract: We construct discontinuous point of the Lyapunov exponent of quasiperiodic Schrödinger cocycles in the Gevrey space G^s with s>2. In contrast, the Lyapunov exponent has been proved to be continuous in the Gevrey space G^s with s<2 by Klein. This shows that G^2 is the transition space for the continuity of the Lyapunov exponent.

报告人简介: 葛灵睿，北京国际数学研究中心教授。主要从事拟周期薛定谔算子谱理论的研究，成果发表在Comm.Pure Appl.Math.，Geom.Funct.Anal.， Ann.Sci.Éc.Norm.Supér.，Peking Math.J.，Adv.Math.，Comm.Math.Phys.等期刊。