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- W2023278745 abstract "The subject of this article is a family of (partly conjectural) spectral invariants of a Laplace operator with a discrete spectrum λ j known as its k-level correlation functions ρ k and level spacings distribution ν. The 2-level (or pair) correlation function ρ 2 , for instance, measures the asymptotic number of spacings λ i * − λ j * between normalized eigenvalues λ i * as the eigenvalues tend to infinity. The normalization is so that the mean level spacing λ i+1 * − λ i * is one. These invariants have been studied by many physicists, including Wigner, Dyson, and Berry, and are conjectured to have certain universal forms depending on the qualitative behaviour of the corresponding classical (geodesic) flow" @default.
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- W2023278745 date "1993-06-01" @default.
- W2023278745 modified "2023-09-25" @default.
- W2023278745 title "Spectral statistics on zoll surfaces" @default.
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- W2023278745 doi "https://doi.org/10.1007/bf02097000" @default.
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