Schrödinger Operators Generated by Locally Constant Functions on the Fibonacci Subshift

讲座时间 Datetime: 2022年9月17日，星期六，15:00-16:00

地点 Venue: 腾讯线上会议：388-476-251

主持人 Host：彭亚群

报告人 Speaker: 房利成

单位 Affiliation: 烟台大学

报告摘要 Abstract:

In this talk, we investigate the spectral properties of discrete one-dimensional Schrödinger operators whose potentials are generated by sampling along the elements of the Fibonacci subshift with a locally constant function. The fundamental trace map formalism for this model is presented and related to its spectral features via an extension of a multitude of works on the classical model, where the sampling function only depends on a single entry of the sequence.