On the capacity functional of excursion sets of Gaussian random fields on ℝ2

DOI10.1017/apr.2016.24zbMath1351.60063arXiv1410.7786OpenAlexW3122208333MaRDI QIDQ2830877

Marie F. Kratz, Werner Nagel

Publication date: 1 November 2016

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7786

zbMATH Keywords

stochastic geometrystereologycrossingsGaussian random fieldsRice formulaexcursion setcapacity functionalgrowing circle methodsecond-moment measuresweeping line method

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05)