On the correlation of critical points and angular trispectrum for random spherical harmonics
DOI10.1007/s10959-021-01136-yOpenAlexW3217757370MaRDI QIDQ2099997
Valentina Cammarota, Domenico Marinucci
Publication date: 21 November 2022
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.05810
spherical harmonicscritical pointsrandom fieldsWiener chaos expansionBerry's cancellation phenomenon
Random fields (60G60) Inference from stochastic processes and spectral analysis (62M15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral geometry (53C65) Spherical harmonics (33C55)
Related Items (2)
Cites Work
- Non-universality of nodal length distribution for arithmetic random waves
- 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
- A central limit theorem and higher order results for the angular bispectrum
- A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions
- Fluctuations of the total number of critical points of random spherical harmonics
- Nodal length fluctuations for arithmetic random waves
- A reduction principle for the critical values of random spherical harmonics
- 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
- Nodal lengths in shrinking domains for random eigenfunctions on \(S^2\)
- Non universality for the variance of the number of real roots of random trigonometric polynomials
- Phase singularities in complex arithmetic random waves
- The defect of random hyperspherical harmonics
- Nodal statistics of planar random waves
- On nonlinear functionals of random spherical eigenfunctions
- Critical sets of random smooth functions on compact manifolds
- Small scale CLTs for the nodal length of monochromatic waves
- Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics
- Normal Approximations with Malliavin Calculus
- Gaussian integrals involving absolute value functions
- Nodal intersections for random eigenfunctions on the torus
- Random Fields on the Sphere
- The defect variance of random spherical harmonics
- On the real zeros of random trigonometric polynomials with dependent coefficients
- A quantitative central limit theorem for the excursion area of random spherical harmonics over subdomains of S2
- Universality of the nodal length of bivariate random trigonometric polynomials
- Nodal area distribution for arithmetic random waves
- Random Fields and Geometry
- Random Waves On $\mathbb T^3$: Nodal Area Variance and Lattice Point Correlations
- On the nodal lines of random and deterministic Laplace eigenfunctions
This page was built for publication: On the correlation of critical points and angular trispectrum for random spherical harmonics
