Approximating Spectral invariants of Harper operators on graphs II

• Main Authors: Mathai, Varghese, Schick, Thomas, Yates, Stuart
• Format: Text
• Language: unknown
• Published: arXiv 2002
• Subjects: Spectral Theory math.SP; FOS Mathematics; 58G25Primary 39A12 Secondary; Harper; DML
• Online Access: https://dx.doi.org/10.48550/arxiv.math/0201127; https://arxiv.org/abs/math/0201127

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. The spectral density function of the DML is defined using the von Neumann trace associated with the free action of a discrete group on a graph...