Small scale CLTs for the nodal length of monochromatic waves

DOI10.1007/s00220-022-04422-wOpenAlexW3025194512MaRDI QIDQ2699714

Maurizia Rossi, Giovanni Peccati, Gauthier Dierickx, Ivan Nourdin

Publication date: 19 April 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06577

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Stochastic processes (60Gxx) Partial differential equations on manifolds; differential operators (58Jxx)

Related Items (7)

Functional convergence of Berry's nodal lengths: approximate tightness and total disorder ⋮ Asymptotic covariances for functionals of weakly stationary random fields ⋮ Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields ⋮ Spherical Poisson waves ⋮ No smooth phase transition for the nodal length of band-limited spherical random fields ⋮ On the correlation of critical points and angular trispectrum for random spherical harmonics ⋮ Almost-sure asymptotics for Riemannian random waves

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