Approximating spectral invariants of Harper operators on graphs

Abstract. 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 [Sun]. A main result in this paper is that the spectral density function of DMLs associated to rational weight functions on graphs wi...

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Bibliographic Details
Main Authors: Varghese Mathai, Stuart Yates
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Subjects:
DML
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.7281
http://arxiv.org/pdf/math/0006138v3.pdf