报告题目: Absolutely continuity of the IDS for quasi-periodic Schrodinger operators with trigonometric polynomials and large coupling constant
报告人：王婧(南京理工大学)
报告时间：2022年9月27日10:00-10:50
报告地点：腾讯会议：444-818-709
会议密码请邮件咨询yangdw@vnsclub.net
报告摘要：In this talk, we consider the quasi-periodic Schrodinger operator with trigonometric polynomial potential and large coupling constant.
We use Aubry Duality to transform the operator with large coupling to generalized Schrodinger operator on a strip with small coupling.
We first use KAM iteration to get the reducibility for the dual cocycle with all parameters except a Hausdorff zero dimension set,
provided the coupling is sufficiently small. Then we get the absolutely continuity of the integrated density of states (IDS) for the dual and the original operators.
Furthermore, the result also holds for quasi-periodic long-range operator with trigonometric polynomial potentials.
This is a joint work with Xu Xu, Jiangong You and Qi Zhou.
邀请人：杨大伟