Speaker: 

Karl Zieber

Institution: 

UCI

Time: 

Tuesday, February 17, 2026 - 1:00pm to 2:00pm

Location: 

RH 340N

Abstract: The Anderson model has been a key tool in the study of disordered alloys and their transport properties. In the one-dimensional discrete model, it is known that any amount of randomness leads to "localization," or a lack of electron transport. Comprehensive results in higher dimensions have been elusive in part due to the loss of one-dimensional tools. As a transitional step to higher dimensions, we consider the quasi-one-dimensional Anderson model on the strip. In this talk, we will discuss existing work to prove spectral localization (with exponentially decaying eigenfunctions) for this class of Anderson model. We will also explore how to extend localization results for IID potentials to potentials that are independent but non-stationary.