报告题目：Continuity of the integrated density of states (IDS) for analytic quasiperiodic Schrodinger operators

报告人：王婧 （南京理工大学）

报告时间：2024年10月29日 09:00-09:45

报告地点：纯水楼301

报告摘要：In this talk, we will study the continuity of the IDS for analytic quasiperiodic Schrodinger operators. In the subcritical region, using quantitative almost reducibility, we prove that the IDS and Lyapunov exponents are log-Holder continuous for operators with Liouvillean frequency; in the supercritical region, combing reducibility and Aubry duality, we prove that the IDS is absolutely continuous for operators with trigonometric potential and Diophantine frequency. This talk is based on joint works with Xu Xu, Qi Zhou and Jiangong You.


邀请人：杨大伟