Geodesic
On computing of expected volume of random manifold
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 133-146 
D. N. Zaporozhets. On computing of expected volume of random manifold. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 133-146. http://geodesic.mathdoc.fr/item/ZNSL_2004_311_a6/
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     title = {On computing of expected volume of random manifold},
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     year = {2004},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_311_a6/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this note we generalize the Kac integral formula for the expected number of real zeros of a random polynomial to systems of equations.

[1] M. Kac, Bull. Amer. Math. Soc., 49 (1943), 314–320 | DOI | MR | Zbl

[2] A. Edelman, E. Kostlan, Bull. Amer. Math. Soc., 32 (1995), 1–37 | DOI | MR | Zbl

[3] L. Santalo, Integralnaya geometriya i geometricheskie veroyatnosti, Nauka, M., 1983 | MR | Zbl

[4] G.M. Fikhtengolts, Kurs differentsialnogo i integralnogo ischisleniya, T. 1, FIZMATLIT, M., 2002

[5] D. K. Fadeev, Lektsii po algebre, Lan, SPb., 2002