Conditions for the finiteness of the moments of the volume of level sets

DOI10.1214/19-ECP214zbMath1412.60057arXiv1811.01787OpenAlexW2964244876MaRDI QIDQ2631812

Jean-Marc Azaïs, David Ginsbourger, Diego Armentano, José Rafael León

Publication date: 16 May 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.01787

zbMATH Keywords

Kac-Rice formulanodal setsGaussian fieldsCrofton formula

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Primitive groups (20B15)

Related Items (3)

On the finiteness of the moments of the measure of level sets of random fields ⋮ Necessary and sufficient conditions for the finiteness of the second moment of the measure of level sets ⋮ On the absolute continuity of random nodal volumes

Cites Work

• Surfaces aléatoires. Mesure géométrique des ensembles de niveau
• Level Sets and Extrema of Random Processes and Fields
• Real and complex zeros of Riemannian random waves
• Random Fields and Geometry
• On the Variance of the Number of Zeros of a Stationary Gaussian Process
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