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- W4226065753 abstract "We consider linear spectral statistics of the form $mathrm{tr} ( varphi (H))$ for test functions $varphi$ of low regularity and Wigner matrices $H$ with smooth entry distribution. We show that for functions $varphi$ in the Sobolev space $H^{1/2+varepsilon}$ or the space $C^{1/2+varepsilon}$, that are supported within the spectral bulk of the semicircle distribution, these linear spectral statistics have asymptotic Gaussian fluctuations with the same variance as in the CLT for functions of higher regularity, for any $varepsilon >0$." @default.
- W4226065753 created "2022-05-05" @default.
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- W4226065753 date "2022-04-07" @default.
- W4226065753 modified "2023-09-29" @default.
- W4226065753 title "Almost-optimal bulk regularity conditions in the CLT for Wigner matrices" @default.
- W4226065753 doi "https://doi.org/10.48550/arxiv.2204.03419" @default.
- W4226065753 hasPublicationYear "2022" @default.
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