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- W4311883067 abstract "We consider the ensemble of real symmetric random matrices $H^{(n,rho)}$ obtained from the determinant form of the Ihara zeta function of random graphs that have $n$ vertices with the edge probability $rho/n$. We prove that the normalized eigenvalue counting function of $H^{(n,rho)}$ weakly converges in average as $n,rhotoinfty$ and $rho=o(n^alpha)$ for any $alpha>0$ to a shift of the Wigner semi-circle distribution. Our results support a conjecture that the large Erdos-R'enyi random graphs satisfy in average the weak graph theory Riemann Hypothesis." @default.
- W4311883067 created "2023-01-02" @default.
- W4311883067 creator A5046154653 @default.
- W4311883067 date "2015-08-31" @default.
- W4311883067 modified "2023-09-23" @default.
- W4311883067 title "On eigenvalue distribution of random matrices of Ihara zeta function of large random graphs" @default.
- W4311883067 doi "https://doi.org/10.48550/arxiv.1508.07839" @default.
- W4311883067 hasPublicationYear "2015" @default.
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