Asymptotic distribution of nodal intersections for arithmetic random waves
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Publication:4583368
DOI10.1088/1361-6544/aaced4zbMath1394.60053arXiv1702.05179OpenAlexW3101702769MaRDI QIDQ4583368
Publication date: 28 August 2018
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.05179
Random fields (60G60) Geometric probability and stochastic geometry (60D05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Convergence of probability measures (60B10)
Related Items (15)
Concentration of the number of intersections of random eigenfunctions on flat tori ⋮ Random Lipschitz–Killing curvatures: Reduction Principles, Integration by Parts and Wiener chaos ⋮ The asymptotic equivalence of the sample trispectrum and the nodal length for random spherical harmonics ⋮ Fluctuations of nodal sets on the 3-torus and general cancellation phenomena ⋮ Invariant Gaussian fields on homogeneous spaces: explicit constructions and mean nodal volume ⋮ Nodal statistics of planar random waves ⋮ Asymptotic distribution of nodal intersections for ARW against a surface ⋮ Nodal lengths in shrinking domains for random eigenfunctions on \(S^2\) ⋮ Lattice points in \(d\)-dimensional spherical segments ⋮ Random nodal lengths and Wiener chaos ⋮ Planck-scale distribution of nodal length of arithmetic random waves ⋮ Gaussian random measures generated by Berry's nodal sets ⋮ Phase singularities in complex arithmetic random waves ⋮ Restriction of 3D arithmetic Laplace eigenfunctions to a plane ⋮ Nodal intersections for arithmetic random waves against a surface
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