Topology and Nesting of the Zero Set Components of Monochromatic Random Waves
From MaRDI portal
Publication:3120798
DOI10.1002/cpa.21795zbMath1473.60095arXiv1701.00034OpenAlexW2963857375MaRDI QIDQ3120798
Yaiza Canzani, Peter C. Sarnak
Publication date: 19 March 2019
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.00034
Laplace eigenfunctions.monochromatic random wavetopology and nesting configurations of the components of the zero set
Random fields (60G60) Probability measures on topological spaces (60B05) Wave equation (35L05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (24)
Weighted local Weyl laws for elliptic operators ⋮ Universal components of random nodal sets ⋮ Nodal set of monochromatic waves satisfying the random wave model ⋮ Asymptotic topology of excursion and nodal sets of Gaussian random fields ⋮ Fluctuations of nodal sets on the 3-torus and general cancellation phenomena ⋮ Equality of critical parameters for percolation of Gaussian free field level sets ⋮ Beltrami fields exhibit knots and chaos almost surely ⋮ Sharp phase transition for Gaussian percolation in all dimensions ⋮ Critical point asymptotics for Gaussian random waves with densities of any Sobolev regularity ⋮ Local universality for zeros and critical points of monochromatic random waves ⋮ Direction distribution for nodal components of random band-limited functions on surfaces ⋮ A covariance formula for topological events of smooth Gaussian fields ⋮ Mean conservation of nodal volume and connectivity measures for Gaussian ensembles ⋮ Tangent nodal sets for random spherical harmonics ⋮ Approximation theorems for the Schrödinger equation and quantum vortex reconnection ⋮ On the expected Betti numbers of the nodal set of random fields ⋮ Effective bounds for monochromatic connectivity measures in two dimensions ⋮ \(C^\infty\) scaling asymptotics for the spectral projector of the Laplacian ⋮ Multivariate random fields and their zero sets ⋮ Expected number of nodal components for cut‐off fractional Gaussian fields ⋮ Monochromatic Random Waves for General Riemannian Manifolds ⋮ Gaussian random measures generated by Berry's nodal sets ⋮ Persistence barcodes and Laplace eigenfunctions on surfaces ⋮ Unnamed Item
This page was built for publication: Topology and Nesting of the Zero Set Components of Monochromatic Random Waves
