Analysis Seminar: Latif Eliaz "The Essential Spectrum of Schroedinger Operators on Graphs"


It is known that the essential spectrum of aSchrödinger operator H on\ell^2(\mathbb{N})  is equal to the union of the spectra of right limits ofH. The naturalgeneralization of this relation to \mathbb{Z}^n  is known to hold as well.In this talk we study thepossibility of generalizing this characterization of \sigma_{ess}(H)  tographs. We show that the general statement fails, while presenting natural families of models where it still holds. 

Date: 

Wed, 25/04/2018 - 12:00 to 13:00

Location: 

Room 70, Ross Building