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Spectral Analysis for Adjacency Operators on Graphs

✍ Scribed by Marius Măntoiu; Serge Richard; Rafael Tiedra de Aldecoa


Book ID
105761861
Publisher
Springer
Year
2007
Tongue
English
Weight
323 KB
Volume
8
Category
Article
ISSN
1424-0637

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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 with a free