Critical points of multidimensional random Fourier series: Variance estimates

DOI10.1063/1.4960707zbMath1347.60032arXiv1511.04965OpenAlexW3099733544MaRDI QIDQ2820921

Liviu I. Nicolaescu

Publication date: 12 September 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04965

zbMATH Keywords

critical pointsGaussian white noiseGaussian random smooth functionmultidimensional random Fourier series

Mathematics Subject Classification ID

Gaussian processes (60G15) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) White noise theory (60H40) Fourier series and coefficients in several variables (42B05) Analysis of variance and covariance (ANOVA) (62J10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Limit theorems in probability theory (60F99) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (2)

A CLT concerning critical points of random functions on a Euclidean space ⋮ The ground state energy and concentration of complexity in spherical bipartite models

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