Browsing by Author "Yau, Horng-Tzer"

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  • Bulk eigenvalue statistics for random regular graphs 

    Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer (Institute of Mathematical StatisticsAnnals of Probability, 2016)
    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 ...