Random Schroedinger operators on manifolds

Lenz, D.; Peyerimhoff, N.; Veselic, I.

Abstract

We consider a random family of Schroedinger operators on a cover of a compact Riemannian manifold. We present several results on their spectral theory, in particular almost sure constancy of th spectral components and existence and non-randomness of an integrated density of states. We also sketch a groupoid based general framework which allows to treat basic features of random operators in different contexts in a unified way. Further topics of research are also discussed.

Citation

Lenz, D., Peyerimhoff, N., & Veselic, I. (2003). Random Schroedinger operators on manifolds. Markov processes and related fields, 9, 717-728

• Journal Article Type: Article
• Publication Date: 2003
• Journal: Markov processes and related fields.
• Print ISSN: 1024-2953
• Publisher: Polymat
• Volume: 9
• Pages: 717-728
• Public URL: https://durham-repository.worktribe.com/output/1553833