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- W4287630644 abstract "In this paper, we show that the Lipschitz-Killing Curvatures for the excursion sets of Arithmetic Random Waves (toral Gaussian eigenfunctions) are dominated, in the high-frequency regime, by a single chaotic component. The latter can be written as a simple explicit function of the threshold parameter times the centered norm of these random fields; as a consequence, these geometric functionals are fully correlated in the high-energy limit. The derived formulae show a clear analogy with related results on the round unit sphere and suggest the existence of a general formula for geometric functionals of random eigenfunctions on Riemannian manifolds." @default.
- W4287630644 created "2022-07-25" @default.
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- W4287630644 date "2020-10-27" @default.
- W4287630644 modified "2023-10-16" @default.
- W4287630644 title "Lipschitz-Killing Curvatures for Arithmetic Random Waves" @default.
- W4287630644 doi "https://doi.org/10.48550/arxiv.2010.14165" @default.
- W4287630644 hasPublicationYear "2020" @default.
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