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Matematicheskie Zametki, 2019, Volume 106, Issue 1, Pages 13–23
DOI: https://doi.org/10.4213/mzm12041 (Mi mzm12041) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the Upper Bound for the Expectation of the Norm of a Vector Uniformly Distributed on the Sphere and the Phenomenon of Concentration of Uniform Measure on the Sphere

E. A. Gorbunova, E. Vorontsovabc, A. V. Gasnikovad

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Far Eastern Federal University, Vladivostok
c Université Grenoble Alpes
d Caucasus Mathematical Center, Adyghe State University, Maikop
Full-text PDF (658 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm12041
Abstract: We consider the problem of constructing upper bounds for the expectation of the norm of a vector uniformly distributed on the Euclidean unit sphere.
Keywords: concentration of measure, vector uniformly distributed on the sphere.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МД-1320.2018.1
Russian Foundation for Basic Research 18-31-20005 мол_а_вед
18-29-03071
The work of A. V. Gasnikov was supported by the Program of the President of the Russian Federation under grant MD-1320.2018.1. The work of È. A. Gorbunov was supported by the Russian Foundation for Basic Research under grant 18-31-20005 mol_a_ved. The work of E. A. Vorontsova was supported by the Russian Foundation for Basic Research under grant 18-29-03071.
Received: 13.04.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 1, Pages 11–19
DOI: https://doi.org/10.1134/S0001434619070022
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: E. A. Gorbunov, E. Vorontsova, A. V. Gasnikov, “On the Upper Bound for the Expectation of the Norm of a Vector Uniformly Distributed on the Sphere and the Phenomenon of Concentration of Uniform Measure on the Sphere”, Mat. Zametki, 106:1 (2019), 13–23; Math. Notes, 106:1 (2019), 11–19
Citation in format AMSBIB
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\issue 1
\pages 13--23
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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