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Singular spectra for quasiperiodic operators in positive Lyapunov exponent regime

发布时间:2018年05月14日 13:07   浏览次数:
报告人 刘文才Visiting Assist 年月 2015-05
14

                               Singular spectra for  quasiperiodic operators in positive Lyapunov exponent regime
报告人:刘文才(Visiting Assistant Professor)
单位:UC Irvine
时间:5月14日(周一)下午4:00-5:00
地点:数学学院西109
邀请人:刘建军
摘要:  In this talk, we will study the singular continuous spectrum for the quasi-periodic  Schrodinger operator  in the postive Lyapunov exponent regime. By Kotani's theory, there is no absolutely continuous spectrum  in this regime. We obtain the sharp spectral transition for the eigenvalue and singular continuous spectrum for some explicit models. We can also obtain the fractal dimension for the spectral measure for the general quasi-periodic operators. This is a joint work with Jitomirskaya, Tcheremchantsev, and Shi.

 

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