Geodesic
On computing of expected volume of random manifold
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 7, Tome 311 (2004), pp. 133-146

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In this note we generalize the Kac integral formula for the expected number of real zeros of a random polynomial to systems of equations. 
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     author = {D. N. Zaporozhets},
     title = {On computing of expected volume of random manifold},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {133--146},
     publisher = {mathdoc},
     volume = {311},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_311_a6/}
}
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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/