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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 252, Pages 224–230 (Mi znsl705)  
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
Full-text PDF (145 kB) Citations (5)
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
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 104, Issue 4, Pages 1394–1398
DOI: https://doi.org/10.1023/A:1011306603637
Bibliographic databases:
UDC: 515.164
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Pod98}
\by S.~S.~Podkorytov
\paper On the Euler characteristic of a~random algebraic hypersurface
\inbook Geometry and topology. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 252
\pages 224--230
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl705}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756726}
\zmath{https://zbmath.org/?q=an:1021.14017}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 104
\issue 4
\pages 1394--1398
\crossref{https://doi.org/10.1023/A:1011306603637}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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