Approximating Spectral invariants of Harper operators on graphs

• Main Authors: Mathai, V., Yates, S.
• Format: Text
• Language: unknown
• Published: arXiv 2000
• Subjects: Functional Analysis math.FA; High Energy Physics - Theory hep-th; FOS Mathematics; FOS Physical sciences; 58J22, 46L85, 39A12 Primary 46L60 Secondary; Harper; DML
• Online Access: https://dx.doi.org/10.48550/arxiv.math/0006138; https://arxiv.org/abs/math/0006138

We study Harper operators and the closely related discrete magnetic Laplacians (DML) on a graph with a free action of a discrete group, as defined by Sunada. A main result in this paper is that the spectral density function of DMLs associated to rational weight functions on graphs with a free action...