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bob电子竞技:动力系统讨论班——Positivity of the Lyapunov exponent for potentials generated by Hyperbolic Transformations

来源:bob电子竞技 发布时间:2024-06-17   10

报告人:张正鹤(University of California, Riverside)

 间:2024624日(周一),上午10:00-11:00

 点:海纳苑2幢202

Abstract: I will introduce a recent work in showing positivity of the Lyapunov exponent for Schrodinger operators with potentials generated by hyperbolic dynamics. Specifically, we showed that if the base dynamics is a subshift of finite type with an ergodic measure admitting a local product structure and if it has a fixed point, then for all nonconstant Holder continuous potentials, the set of energies with zero Lyapunov exponent is a discrete set. If the potentials are locally constant or globally fiber bunched, then the set of zero Lyapunov exponent is finite. This is a joint work with A. Avila and D. Damanik. 


联系人:叶和溪(yehexi@zju.edu.cn)


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