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潘亿——Spectrum of discrete quasiperiodic Schrodinger operators related dynamical properties
发布人:许全华  发布时间:2020-08-24   浏览次数:15

题目:Spectrum of discrete quasiperiodic Schrodinger operators related dynamical properties


报告人:潘亿(巴黎第七大学)


时间:8月28日, 16:00-17:00


地点:腾讯会议,会议 ID:117 894 073


摘要:Spectrum of discrete one-dimensional Schrodinger operators with dynamically defined potential, especially quasiperiodic one, is closely connected to uniform hyperbolicity of corresponding SL(2,R) cocycles. Moreover, the absolutely continuous spectrum is related to zeros of Lyapunov exponents and reducibility of cocycles while the pure point spectrum is related to nonuniformly hyperbolic behavior.  

            In this talk, we will give basic definition and explain this connection between spectrum and dynamical properties. Then we will focus on zero Lyapunov exponents and reducibility of cocycles. If time permitting, we will state a recent result on hyperbolicity of renormalization.