Nodal lengths in shrinking domains for random eigenfunctions on \(S^2\)
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Publication:2203632
DOI10.3150/20-BEJ1216MaRDI QIDQ2203632
Publication date: 7 October 2020
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.11787
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Cites Work
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- Non-universality of nodal length distribution for arithmetic random waves
- On the number of nodal domains of toral eigenfunctions
- On the distribution of the critical values of random spherical harmonics
- Fluctuations of the nodal length of random spherical harmonics
- On the geometry of the nodal lines of eigenfunctions of the two-dimensional torus
- Nodal sets of eigenfunctions on Riemannian manifolds
- Eigenfunctions and nodal sets
- Universality and scaling of correlations between zeros on complex manifolds
- A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions
- Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure
- Nodal sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture
- Nodal length fluctuations for arithmetic random waves
- Planck-scale distribution of nodal length of arithmetic random waves
- The asymptotic equivalence of the sample trispectrum and the nodal length for random spherical harmonics
- On ratios of harmonic functions
- Nodal statistics of planar random waves
- On nonlinear functionals of random spherical eigenfunctions
- On the volume of nodal sets for eigenfunctions of the Laplacian on the torus
- Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics
- Normal Approximations with Malliavin Calculus
- Random nodal lengths and Wiener chaos
- Level Sets and Extrema of Random Processes and Fields
- On the distribution of the nodal sets of random spherical harmonics
- Regular and irregular semiclassical wavefunctions
- Asymptotic distribution of nodal intersections for arithmetic random waves
- Random Fields and Geometry
