A quantitative central limit theorem for the excursion area of random spherical harmonics over subdomains of S2
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Publication:4628754
DOI10.1063/1.5048976zbMath1481.60061arXiv1807.06982OpenAlexW3101507462MaRDI QIDQ4628754
Publication date: 15 March 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.06982
Central limit and other weak theorems (60F05) Ordinary differential equations and systems with randomness (34F05) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)
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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
- Stein-Malliavin approximations for nonlinear functionals of random eigenfunctions on \(\mathbb{S}^d\)
- Nodal intersections for random waves on the 3-dimensional torus
- Fluctuations of the nodal length of random spherical harmonics
- Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
- Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations
- A central limit theorem and higher order results for the angular bispectrum
- Asymptotics for spherical needlets
- A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions
- Quantitative limit theorems for local functionals of arithmetic random waves
- Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields
- Nodal length fluctuations for arithmetic random waves
- The defect of random hyperspherical harmonics
- On nonlinear functionals of random spherical eigenfunctions
- High-resolution asymptotics for the angular bispectrum of spherical random fields
- On the area of excursion sets of spherical Gaussian eigenfunctions
- Normal Approximations with Malliavin Calculus
- Nodal intersections for random eigenfunctions on the torus
- Random Fields on the Sphere
- The defect variance of random spherical harmonics
- Localized Tight Frames on Spheres
- Stein's method meets Malliavin calculus: a short survey with new estimates
- 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
- Random Fields and Geometry
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