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科学研究
报告题目:

Multiplicative Jensen's Formula and Quantitative Global Theory for One-Frequency Schr?dinger Operators

报告人:

周麒 教授(南开大学)

报告时间:

报告地点:

腾讯会议ID: 443-726-310

报告摘要:

We explore Avila's global theory for one-frequency Schr?dinger operators from the point of view of Aubry duality. We establish the one-to-one correspondence between the Lyapunov exponent of the Schr?dinger cocycles  and the Lyapunov exponents of its dual cocycles. We also give a new equivalent definition of subcritical, critical, supercritical regimes. Especially, we prove that the acceleration of the Schr?dinger cocycle equals to the pair of zero Lyapunov exponents of its dual cocycle. Finally, we talk about its physical application.

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