Random Smooth Functions on Compact Riemannian Manifolds

DOI10.1090/conm/630/12673zbMath1350.53022OpenAlexW4242322276MaRDI QIDQ2825878

Liviu I. Nicolaescu

Publication date: 13 October 2016

Published in: Geometric and Spectral Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/630/12673

zbMATH Keywords

Gauss-Bonnet theoremcritical pointswhite noiseGaussian random variablesrandom Morse function

Mathematics Subject Classification ID

Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Random matrices (probabilistic aspects) (60B20) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Singularities of differentiable mappings in differential topology (57R45) Local Riemannian geometry (53B20) Spectral theory; eigenvalue problems on manifolds (58C40) Perturbations of PDEs on manifolds; asymptotics (58J37) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

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