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- W2005706613 abstract "We consider ensembles of N × N symmetric matrices whose entries are weakly dependent random variables. We show that random dilution can change the limiting eigenvalue distribution of such matrices. We prove that under general and natural conditions the normalised eigenvalue counting function coincides with the semicircle (Wigner) distribution in the limit N → ∞. This can be explained by the observation that dilution (or more generally, random modulation) eliminates the weak dependence (or correlations) between random matrix entries. It also supports our earlier conjecture that the Wigner distribution is stable to random dilution and modulation." @default.
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- W2005706613 date "1998-12-01" @default.
- W2005706613 modified "2023-09-24" @default.
- W2005706613 title "On the Wigner law in dilute random matrices" @default.
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- W2005706613 doi "https://doi.org/10.1016/s0034-4877(99)80002-0" @default.
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