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數學與數據科學應用研究所系列報告:Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles

發布時間:2024-02-17 浏覽次數:182



報告人:      葛靈睿教授(北京大學伟德国际1946官网)

報告題目:Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles

報告時間:2023年10月27日 11:00-12:00

報告地點:江甯校區勵學樓 B 219

邀請人:   陶凱

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.

報告人簡介: 葛靈睿,北京國際數學研究中心教授。主要從事拟周期薛定谔算子譜理論的研究,成果發表在Comm.Pure Appl.Math.,Geom.Funct.Anal., Ann.Sci.Éc.Norm.Supér.,Peking Math.J.,Adv.Math.,Comm.Math.Phys.等期刊。


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