The number of critical points of a Gaussian field: finiteness of moments

Random fields (60G60) Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Critical points of functions and mappings on manifolds (58K05) (L^p)-limit theorems (60F25)

Cites Work

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Expected volume and Euler characteristic of random submanifolds
Betti numbers of random real hypersurfaces and determinants of random symmetric matrices
Non-universality of nodal length distribution for arithmetic random waves
Correlation functions for random complex zeroes: Strong clustering and local universality
A formula for Kergin interpolation in \(R^ k\).
A natural interpolation of \(C^ k \)functions
Complex Kergin interpolation
Conditions for finite moments of the number of zero crossings for Gaussian processes
Volume distribution of nodal domains of random band-limited functions
Betti numbers of random nodal sets of elliptic pseudo-differential operators
Manifold-theoretic compactifications of configuration spaces
Random complex zeroes. I: Asymptotic normality
Nodal length fluctuations for arithmetic random waves
Zeros of smooth stationary Gaussian processes
Roots of Kostlan polynomials: moments, strong law of large numbers and central limit theorem
Almost-sure asymptotics for Riemannian random waves
Kac-Rice formula for transverse intersections
Mean number and correlation function of critical points of isotropic Gaussian fields and some results on GOE random matrices
Local universality for zeros and critical points of monochromatic random waves
Limit theory for geometric statistics of point processes having fast decay of correlations
Nodal statistics of planar random waves
Recovering the good component of the Hilbert scheme
Gelfand transforms and Crofton formulas
Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
Level Sets and Extrema of Random Processes and Fields
Real and complex zeros of Riemannian random waves
On the number of nodal domains of random spherical harmonics
Regular and irregular semiclassical wavefunctions
Real Analysis and Probability
Two Point Function for Critical Points of a Random Plane Wave
Random Fields and Geometry
On the average number of real roots of a random algebraic equation
Mathematical Analysis of Random Noise
On the finiteness of the moments of the measure of level sets of random fields

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