Integrated density of states for ergodic random Schrödinger operators on manifolds

Peyerimhoff, N.; Veselić, I.

Abstract

We consider the Riemannian universal covering of a compact manifold M = X/Γ and assume that Γ is amenable. We show the existence of a (nonrandom) integrated density of states for an ergodic random family of Schrödinger operators on X.

Citation

Peyerimhoff, N., & Veselić, I. (2002). Integrated density of states for ergodic random Schrödinger operators on manifolds. Geometriae Dedicata, 91(1), 117-135. https://doi.org/10.1023/a%3A1016222913877

• Journal Article Type: Article
• Publication Date: Apr 1, 2002
• Deposit Date: Jun 3, 2016
• Publicly Available Date: Jun 7, 2016
• Journal: Geometriae Dedicata
• Print ISSN: 0046-5755
• Electronic ISSN: 1572-9168
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 91
• Issue: 1
• Pages: 117-135
• DOI: https://doi.org/10.1023/a%3A1016222913877
• Public URL: https://durham-repository.worktribe.com/output/1554462