Real and complex zeros of Riemannian random waves
From MaRDI portal
Publication:3633583
zbMath1176.58021arXiv0803.4334MaRDI QIDQ3633583
Publication date: 23 June 2009
Full work available at URL: https://arxiv.org/abs/0803.4334
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Diffusion processes and stochastic analysis on manifolds (58J65)
Related Items
SMALL-SCALE EQUIDISTRIBUTION OF RANDOM WAVES GENERATED BY AN UNFAIR COIN FLIP ⋮ Isotropic random spin weighted functions on 𝑆² vs isotropic random fields on 𝑆³ ⋮ Equidistribution of the conormal cycle of random nodal sets ⋮ Conditions for the finiteness of the moments of the volume of level sets ⋮ A necessary and sufficient condition for probabilistic continuity on a boundaryless compact Riemannian manifold ⋮ Weighted local Weyl laws for elliptic operators ⋮ Random Lipschitz–Killing curvatures: Reduction Principles, Integration by Parts and Wiener chaos ⋮ Fluctuations of nodal sets on the 3-torus and general cancellation phenomena ⋮ Equidistribution of random waves on small balls ⋮ The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index ⋮ Some recent developments on the geometry of random spherical eigenfunctions ⋮ Local universality of determinantal point processes on Riemannian manifolds ⋮ Nodal statistics of planar random waves ⋮ Functional convergence of Berry's nodal lengths: approximate tightness and total disorder ⋮ Smooth Gaussian fields and percolation ⋮ Local universality for zeros and critical points of monochromatic random waves ⋮ Nodal length fluctuations for arithmetic random waves ⋮ Small scale CLTs for the nodal length of monochromatic waves ⋮ Random nodal lengths and Wiener chaos ⋮ \(C^\infty\) scaling asymptotics for the spectral projector of the Laplacian ⋮ Multivariate random fields and their zero sets ⋮ Monochromatic Random Waves for General Riemannian Manifolds ⋮ Gaussian random measures generated by Berry's nodal sets ⋮ Nodal area distribution for arithmetic random waves ⋮ On the distribution of the nodal sets of random spherical harmonics ⋮ Variations on Salem-Zygmund results for random trigonometric polynomials: application to almost sure nodal asymptotics ⋮ Multidimensional Paley-Zygmund theorems and sharp \(L^p\) estimates for some elliptic operators ⋮ A note on global suprema of band-limited spherical random functions ⋮ Almost-sure asymptotics for Riemannian random waves ⋮ Euclidean embeddings and Riemannian Bergman metrics ⋮ Expected volume and Euler characteristic of random submanifolds ⋮ Fixed frequency eigenfunction immersions and supremum norms of random waves ⋮ Filament structure of random waves
