dc.creator | Bauerschmidt, Roland | |
dc.creator | Huang, Jiaoyang | |
dc.creator | Knowles, Antti | |
dc.creator | Yau, Horng-Tzer | |
dc.date.accessioned | 2016-08-26 | |
dc.date.accessioned | 2018-11-24T23:26:56Z | |
dc.date.available | 2016-10-20T12:28:03Z | |
dc.date.available | 2018-11-24T23:26:56Z | |
dc.date.issued | 2016 | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/260846 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3915 | |
dc.description.abstract | We consider the uniform random d-regular graph on N vertices, with d ∈ [N$^{\alpha}$,N$^{2/3−\alpha}$] for arbitrary α > 0. We prove that in the bulk of the spectrum the local eigenvalue correlation
functions and the distribution of the gaps between consecutive eigenvalues coincide with
those of the Gaussian Orthogonal Ensemble. | |
dc.language | en | |
dc.publisher | Institute of Mathematical Statistics | |
dc.publisher | Annals of Probability | |
dc.title | Bulk eigenvalue statistics for random regular graphs | |
dc.type | Article | |