On the approximate normality of eigenfunctions of the Laplacian

DOI10.1090/S0002-9947-09-04661-3zbMath1176.58015arXiv0705.1342OpenAlexW1993195177WikidataQ125119176 ScholiaQ125119176MaRDI QIDQ3182542

Elizabeth S. Meckes

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1342

zbMATH Keywords

Stein's methodspherical harmonicseigenfunctionsLaplaciannormal approximationrandom wavesvalue distributions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes and stochastic analysis on manifolds (58J65) Spherical harmonics (33C55)

Related Items (5)

Stein's method and characters of compact Lie groups ⋮ Stability of eigenvalues and observable diameter in RCD\((1, \infty)\) spaces ⋮ Random matrices with prescribed eigenvalues and expectation values for random quantum states ⋮ Approximate normality of high-energy hyperspherical eigenfunctions ⋮ The defect of random hyperspherical harmonics

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• On the Topography of Maass Waveforms for PSL(2, Z)
• Linear functions on the classical matrix groups
• Regular and irregular semiclassical wavefunctions

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