Critical sets of random smooth functions on compact manifolds

DOI10.4310/AJM.2015.v19.n3.a2zbMath1341.60081arXiv1101.5990MaRDI QIDQ2515524

Liviu I. Nicolaescu

Publication date: 5 August 2015

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5990

zbMATH Keywords

random matricescritical pointsspectral functionKac-Rice formulaGaussian random processesrandom Morse functions

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Random matrices (probabilistic aspects) (60B20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral geometry (53C65) Random matrices (algebraic aspects) (15B52) Stochastic analysis (60H99) Critical points of functions and mappings on manifolds (58K05)

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