动力系统讨论班——Positivity of the Lyapunov exponent for potentials generated by Hyperbolic Transformations

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

时 间：2024年6月24日（周一），上午10:00-11:00

地 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）