Random Lipschitz–Killing curvatures: Reduction Principles, Integration by Parts and Wiener chaos
From MaRDI portal
Publication:5080410
DOI10.1090/tpms/1170zbMath1495.60043arXiv2108.01354OpenAlexW3189602477MaRDI QIDQ5080410
Publication date: 31 May 2022
Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.01354
Random fields (60G60) Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Stationary stochastic processes (60G10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-universality of nodal length distribution for arithmetic random waves
- On the distribution of the critical values of random spherical harmonics
- CLT for crossings of random trigonometric polynomials
- Stein-Malliavin approximations for nonlinear functionals of random eigenfunctions on \(\mathbb{S}^d\)
- A central limit theorem for the Euler characteristic of a Gaussian excursion set
- Nodal intersections for random waves on the 3-dimensional torus
- On probability measures arising from lattice points on circles
- Nodal intersections for random waves against a segment on the 3-dimensional torus
- Fluctuations of the nodal length of random spherical harmonics
- Level curves crossings and applications for Gaussian models
- Stein's method on Wiener chaos
- Nodal sets of eigenfunctions on Riemannian manifolds
- Eigenfunctions and nodal sets
- Über Knoten von Eigenfunktionen des Laplace-Beltrami-Operators
- 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 sets of Laplace eigenfunctions: proof of Nadirashvili's conjecture and of the lower bound in Yau's conjecture
- Approximate normality of high-energy hyperspherical eigenfunctions
- Quantitative limit theorems for local functionals of arithmetic random waves
- Nodal length fluctuations for arithmetic random waves
- The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions
- The asymptotic equivalence of the sample trispectrum and the nodal length for random spherical harmonics
- Nodal lengths in shrinking domains for random eigenfunctions on \(S^2\)
- A note on the reduction principle for the nodal length of planar random waves
- Gaussian random measures generated by Berry's nodal sets
- Phase singularities in complex arithmetic random waves
- The defect of random hyperspherical harmonics
- Nodal intersections for arithmetic random waves against a surface
- Nodal intersections of random eigenfunctions against a segment on the 2-dimensional torus
- 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
- The Leray measure of nodal sets for random eigenfunctions on the torus
- Central limit theorems for sequences of multiple stochastic integrals
- Gaussian approximation of nonlinear statistics on the sphere
- Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics
- On the area of excursion sets of spherical Gaussian eigenfunctions
- Normal Approximations with Malliavin Calculus
- Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
- Random Fields on the Sphere
- Topologies of Nodal Sets of Random Band‐Limited Functions
- The defect variance of random spherical harmonics
- Random nodal lengths and Wiener chaos
- Real and complex zeros of Riemannian random waves
- Seminar on Differential Geometry. (AM-102)
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Regular and irregular semiclassical wavefunctions
- Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature
- Asymptotic distribution of nodal intersections for arithmetic random waves
- A quantitative central limit theorem for the excursion area of random spherical harmonics over subdomains of S2
- Fluctuations of nodal sets on the 3-torus and general cancellation phenomena
- The defect of toral Laplace eigenfunctions and arithmetic random waves
- Nodal area distribution for arithmetic random waves
- Two Point Function for Critical Points of a Random Plane Wave
- Ergodicity and Gaussianity for spherical random fields
- Random Fields and Geometry
- Random Waves On $\mathbb T^3$: Nodal Area Variance and Lattice Point Correlations
- Lattice points on circles and discrete velocity models for the Boltzmann equation
This page was built for publication: Random Lipschitz–Killing curvatures: Reduction Principles, Integration by Parts and Wiener chaos
