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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 31–38 (Mi znsl3691)  
This article is cited in 8 scientific papers (total in 8 papers)

Characterization of Gaussian measures by the isoperimetric property of half-spaces

S. G. Bobkova, C. Houdréb

a Syktyvkar State University, Syktyvkar, Russia
b Georgia Institute of Technology, Atlanta, USA
Full-text PDF (401 kB) Citations (8)
Abstract: If the half-spaces of the form $\{x\in\mathbb R^n\colon x_1\le c\}$ are extremal in the isoperimetric problem for the product-measure $\mu^n$, $n\ge2$, then the marginal distribution $\mu$ is Gaussian. Bibl. 8 titles.
Received: 12.12.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 3, Pages 270–275
DOI: https://doi.org/10.1007/BF02364810
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: S. G. Bobkov, C. Houdré, “Characterization of Gaussian measures by the isoperimetric property of half-spaces”, Probability and statistics. Part 1, Zap. Nauchn. Sem. POMI, 228, POMI, St. Petersburg, 1996, 31–38; J. Math. Sci. (New York), 93:3 (1999), 270–275
Citation in format AMSBIB
\Bibitem{BobHou96}
\by S.~G.~Bobkov, C.~Houdr\'e
\paper Characterization of Gaussian measures by the isoperimetric property of half-spaces
\inbook Probability and statistics. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 228
\pages 31--38
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3691}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1449845}
\zmath{https://zbmath.org/?q=an:0924.60009}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 3
\pages 270--275
\crossref{https://doi.org/10.1007/BF02364810}
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  • https://www.mathnet.ru/eng/znsl/v228/p31
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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