Spectra of Arithmetic Infinite Graphs and Their Application

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  • Spectra of Arithmetic Infinite Graphs and Their Application (<Special Issue> The Proceedings of the Workshop of Graph Theory and Related Topics, held at GSIS, Tohoku University, November, 1999)

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We discuss some properties of certain finite volume infinite graphs defined arithmetically, from a spectral point of view. These graphs are constructed from principal congruence subgroups over function fields and known to be Ramanujan diagrams.

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