Leonenko, N. N.; Èl-Bassioniĭ, A. Kh. Limit theorems for some characteristics of level overshoot by a Gaussian field with strong dependence. (English. Russian original) Zbl 0634.60029 Theory Probab. Math. Stat. 35, 59-64 (1987); translation from Teor. Veroyatn. Mat. Stat. 35, 54-60 (1986). The authors prove a limit theorem for geometric-type functionals generated by intersections of realizations of homogeneous isotropic Gaussian fields with moving levels. The case of non-integrable correlation functions is considered. Reviewer: R. Mikulevičius (Vilnius) MSC: 60F17 Functional limit theorems; invariance principles 60G60 Random fields 60G15 Gaussian processes Keywords:limit theorem for geometric-type functionals; isotropic Gaussian fields PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{A. Kh. Èl-Bassioniĭ}, Theory Probab. Math. Stat. 35, 59--64 (1986; Zbl 0634.60029); translation from Teor. Veroyatn. Mat. Stat. 35, 54--60 (1986)