Eigenvalue spacings for regular graphs

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We carry out a numerical study of fluctuations in the spectrum of regular graphs. Our experiments indicate that the level spacing distribution of a generic k-regular graph approaches that of the Gaussian Orthogonal Ensemble of random matrix theory as we increase the number of vertices. A review of the basic facts on graphs and their spectra is included.
Appeared in IMA vol. 109 (Emerging applications of number theory, Minneapolis, MN 1996)

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/52149

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0310002
 http://arxiv.org/abs/hep-th/0310002

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arXiv