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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 252, Pages 224–230
(Mi znsl705)
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This article is cited in 5 scientific papers (total in 5 papers)
On the Euler characteristic of a random algebraic hypersurface
S. S. Podkorytov Saint-Petersburg State University
Abstract:
We calculate the mean value of the Euler characteristic of the hypersurface in $\mathbb R P^d$ ($d$ odd) defined by a random polynomial of given degree under the condition that the polynomial has normal
distribution with zero mean invariant with respect to the action of the orthogonal group $O(d+1)$.
Received: 14.06.1998
Citation:
S. S. Podkorytov, “On the Euler characteristic of a random algebraic hypersurface”, Geometry and topology. Part 3, Zap. Nauchn. Sem. POMI, 252, POMI, St. Petersburg, 1998, 224–230; J. Math. Sci. (New York), 104:4 (2001), 1394–1398
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https://www.mathnet.ru/eng/znsl705 https://www.mathnet.ru/eng/znsl/v252/p224
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Abstract page: | 172 | Full-text PDF : | 68 |
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